From 3901242f4c2337685255d861e4f1b3cbfde5e681 Mon Sep 17 00:00:00 2001 From: Brian Ward Date: Tue, 6 Aug 2024 11:20:16 -0400 Subject: [PATCH 1/3] Add links to index on function definitions --- .gitignore | 2 ++ src/html-index.lua | 28 +++++++++++++++++++++++++--- src/theming/quarto_styles.css | 8 ++++++++ 3 files changed, 35 insertions(+), 3 deletions(-) diff --git a/.gitignore b/.gitignore index 955458d28..6d87f42ae 100644 --- a/.gitignore +++ b/.gitignore @@ -29,3 +29,5 @@ src/**/*.tex # For the Mac (Finder metatdata files) *.DS_Store + +.luarc.json diff --git a/src/html-index.lua b/src/html-index.lua index 14d257d53..b841ba257 100644 --- a/src/html-index.lua +++ b/src/html-index.lua @@ -4,6 +4,10 @@ -- This is combined with the output of the gen_index.py script -- to create a clickable index of all the functions in the documentation + +index = quarto.utils.resolve_path("./functions-reference/functions_index.qmd") +indexText = io.open(index):read("*a") + function extractIndexEntry(elementText) if elementText:find("%; %-%-%>$") ~= nil then return "index-entry-" .. tostring(pandoc.sha1(elementText)) @@ -11,9 +15,11 @@ function extractIndexEntry(elementText) return nil end -if FORMAT == "latex" then - return {} -- latex uses mkindex, not this -else +function escape(text) + return text:gsub("\\", "\\\\"):gsub("*", "\\*") +end + +if quarto.doc.is_format("html") then -- latex uses mkindex, not this return { RawBlock = function(el) if el.format == "html" then @@ -23,6 +29,22 @@ else end end return nil -- no change + end, + Strong = function(el2) + return pandoc.walk_inline(el2, { + Code = function(el3) + if el3.text ~= nil then + -- only create a link if this appears in the index + local escaped = escape(el3.text) + if indexText:find(escaped, 1, true) ~= nil then + return pandoc.Link(el3, "./functions_index.qmd#" .. escaped, + "Jump to index entry", {class="unlink"}) + end + end + return nil + end + }) end } + end diff --git a/src/theming/quarto_styles.css b/src/theming/quarto_styles.css index 29078a7fc..a82505d38 100644 --- a/src/theming/quarto_styles.css +++ b/src/theming/quarto_styles.css @@ -18,6 +18,9 @@ } } +html { + scroll-padding-top: 70px; /* height of header */ +} @media (min-width: 991.98px) { #quarto-header { @@ -308,6 +311,11 @@ a.nav-link.active { color: var(--stan-secondary);} a.sidebar-item-text.sidebar-link.active { color: var(--stan-secondary); } .sidebar.a.active { color: var(--stan-secondary); } +a.unlink { + color: inherit; + text-decoration: none; +} + div [data-bs-target^="#quarto-sidebar-section"] { font-weight: bold; From cc1f9c1a3d4b832178a0926ffe993eee50d62b40 Mon Sep 17 00:00:00 2001 From: Brian Ward Date: Tue, 6 Aug 2024 12:05:04 -0400 Subject: [PATCH 2/3] Label pages in index --- gen_index.py | 8 +- src/functions-reference/functions_index.qmd | 3838 +++++++++---------- src/theming/quarto_styles.css | 23 +- 3 files changed, 1940 insertions(+), 1929 deletions(-) diff --git a/gen_index.py b/gen_index.py index f41043c7d..a7ac24854 100644 --- a/gen_index.py +++ b/gen_index.py @@ -37,7 +37,7 @@ def make_index_mapping(sigs): sha = hashlib.sha1(sig.encode("utf-8")).hexdigest() link = f"{file}#index-entry-{sha}" - index[name].append((link, index_entry)) + index[name].append((link, index_entry, file.replace(".qmd", ".html"))) return index @@ -53,9 +53,9 @@ def write_index_page(index): f.write(f"\n## {start.upper()}\n") escaped_name = name.replace("\\", "\\\\").replace("*", "\\*") - f.write(f"**{escaped_name}**:\n\n") - for link, entry in sorted(links, key=lambda x: x[1].lower() + x[0]): - f.write(f" - [{entry}]({link})\n") + f.write(f"**{escaped_name}**:\n\n") + for link, entry, file in sorted(links, key=lambda x: x[1].lower() + x[2] + x[0]): + f.write(f" -
[{entry}]({link}) ({file})
\n") f.write("\n\n") diff --git a/src/functions-reference/functions_index.qmd b/src/functions-reference/functions_index.qmd index fcc474d27..369ee9e6a 100644 --- a/src/functions-reference/functions_index.qmd +++ b/src/functions-reference/functions_index.qmd @@ -7,3897 +7,3897 @@ pagetitle: Alphabetical Index # Alphabetical Index ## A -**abs**: +**abs**: - - [`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-00d0fd704b516cbdb1c9d8cfdceb177a76481cc4) - - [`(T x) : T`](integer-valued_basic_functions.qmd#index-entry-c197d7c04ea9bf23cf252f2092111b3c5aadd02d) - - [`(T x) : T`](real-valued_basic_functions.qmd#index-entry-c197d7c04ea9bf23cf252f2092111b3c5aadd02d) + -
[`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-00d0fd704b516cbdb1c9d8cfdceb177a76481cc4) (complex-valued_basic_functions.html)
+ -
[`(T x) : T`](integer-valued_basic_functions.qmd#index-entry-c197d7c04ea9bf23cf252f2092111b3c5aadd02d) (integer-valued_basic_functions.html)
+ -
[`(T x) : T`](real-valued_basic_functions.qmd#index-entry-c197d7c04ea9bf23cf252f2092111b3c5aadd02d) (real-valued_basic_functions.html)
-**acos**: +**acos**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-a3994349ad6faefbd24c6ab7f4c46819b77b7593) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-c928df245747cbd0d0fdb91212e73e8c3d5ace77) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-a3994349ad6faefbd24c6ab7f4c46819b77b7593) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-c928df245747cbd0d0fdb91212e73e8c3d5ace77) (real-valued_basic_functions.html)
-**acosh**: +**acosh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-5d36ca029281c0668f4125ee4d7400c52fcff71c) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-228328eeafc82944f3bdf9162ddbad97efddff0c) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-5d36ca029281c0668f4125ee4d7400c52fcff71c) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-228328eeafc82944f3bdf9162ddbad97efddff0c) (real-valued_basic_functions.html)
-**add_diag**: +**add_diag**: - - [`(complex_matrix m, complex_real d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-1bd31f2687a12296c53d88aedd4fe7b91be42e6b) - - [`(complex_matrix m, complex_row_vector d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ebc82f3647c3357e9ff2d0c3de2f5996ac435a22) - - [`(complex_matrix m, complex_vector d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-c75a27fd3abf5459a2683dc6261be6c0045b71d6) - - [`(matrix m, real d) : matrix`](matrix_operations.qmd#index-entry-6c3894d5b0c4aa6fcae69f294bd4a39e91e3731b) - - [`(matrix m, row_vector d) : matrix`](matrix_operations.qmd#index-entry-6c34e1496216d483a0c9876713871db5b36de2b1) - - [`(matrix m, vector d) : matrix`](matrix_operations.qmd#index-entry-fd1fe55afe2b42fa662d88b9e836e27f40aed6ed) + -
[`(complex_matrix m, complex_real d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-1bd31f2687a12296c53d88aedd4fe7b91be42e6b) (complex_matrix_operations.html)
+ -
[`(complex_matrix m, complex_row_vector d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ebc82f3647c3357e9ff2d0c3de2f5996ac435a22) (complex_matrix_operations.html)
+ -
[`(complex_matrix m, complex_vector d) : complex_matrix`](complex_matrix_operations.qmd#index-entry-c75a27fd3abf5459a2683dc6261be6c0045b71d6) (complex_matrix_operations.html)
+ -
[`(matrix m, real d) : matrix`](matrix_operations.qmd#index-entry-6c3894d5b0c4aa6fcae69f294bd4a39e91e3731b) (matrix_operations.html)
+ -
[`(matrix m, row_vector d) : matrix`](matrix_operations.qmd#index-entry-6c34e1496216d483a0c9876713871db5b36de2b1) (matrix_operations.html)
+ -
[`(matrix m, vector d) : matrix`](matrix_operations.qmd#index-entry-fd1fe55afe2b42fa662d88b9e836e27f40aed6ed) (matrix_operations.html)
-**algebra_solver**: +**algebra_solver**: - - [`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i, data real rel_tol, data real f_tol, int max_steps) : vector`](deprecated_functions.qmd#index-entry-717206dad47a7c1194d4b531baf6ffdd3c2d028a) + -
[`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i, data real rel_tol, data real f_tol, int max_steps) : vector`](deprecated_functions.qmd#index-entry-717206dad47a7c1194d4b531baf6ffdd3c2d028a) (deprecated_functions.html)
-**algebra_solver_newton**: +**algebra_solver_newton**: - - [`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i) : vector`](deprecated_functions.qmd#index-entry-c32bcab203b8a5c04135db0647b03444d7effefb) - - [`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i, data real rel_tol, data real f_tol, int max_steps) : vector`](deprecated_functions.qmd#index-entry-e7af0c43c395b76b7182b00996444a8b8377cac4) + -
[`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i) : vector`](deprecated_functions.qmd#index-entry-c32bcab203b8a5c04135db0647b03444d7effefb) (deprecated_functions.html)
+ -
[`(function algebra_system, vector y_guess, vector theta, data array[] real x_r, array[] int x_i, data real rel_tol, data real f_tol, int max_steps) : vector`](deprecated_functions.qmd#index-entry-e7af0c43c395b76b7182b00996444a8b8377cac4) (deprecated_functions.html)
-**append_array**: +**append_array**: - - [`(T x, T y) : T`](array_operations.qmd#index-entry-a92d8a1e904382ddb4b800a330feedcb3c04f2c2) + -
[`(T x, T y) : T`](array_operations.qmd#index-entry-a92d8a1e904382ddb4b800a330feedcb3c04f2c2) (array_operations.html)
-**append_col**: +**append_col**: - - [`(complex x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-6d9a3c740a41d03e1694a8957fc0686db16578c7) - - [`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ffc1159a99f60f1f9ed57275f62abef2a8565af2) - - [`(complex_matrix x, complex_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-3cdea5abd8dcc4f4aa3a63ec4b57e3beb1e548d1) - - [`(complex_row_vector x, complex y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-435f75dc018a8af24be3ee5ac716757fc6ed0919) - - [`(complex_row_vector x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-e38bc5278f6ed1cde644188c8eb17161f960454d) - - [`(complex_vector x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-925808fc8edc656698d2fa5a95c71e4392b64386) - - [`(complex_vector x, complex_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a7e682a73b7b4c9c5e762266afcff98336e95763) - - [`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-9e081ce392909a0df24bb36f03bfa797bed61afc) - - [`(matrix x, vector y) : matrix`](matrix_operations.qmd#index-entry-147e13862145f964e1cbb7fcc77a67089a7e5e34) - - [`(real x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-c2a28748bc8f89b100ba5a447e6a37085a0c322f) - - [`(row_vector x, real y) : row_vector`](matrix_operations.qmd#index-entry-3bee320543341ea29edfb9d04aca5cc49f8e0b95) - - [`(row_vector x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-21151b3cbeecb129181ef54f899636e705e64a59) - - [`(vector x, matrix y) : matrix`](matrix_operations.qmd#index-entry-864b816280933455ecf6e923c13d45129a29b0fd) - - [`(vector x, vector y) : matrix`](matrix_operations.qmd#index-entry-58eedcbe1e2b7f299a093b3640fbf33c5ed668a7) + -
[`(complex x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-6d9a3c740a41d03e1694a8957fc0686db16578c7) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ffc1159a99f60f1f9ed57275f62abef2a8565af2) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-3cdea5abd8dcc4f4aa3a63ec4b57e3beb1e548d1) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-435f75dc018a8af24be3ee5ac716757fc6ed0919) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-e38bc5278f6ed1cde644188c8eb17161f960454d) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-925808fc8edc656698d2fa5a95c71e4392b64386) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a7e682a73b7b4c9c5e762266afcff98336e95763) (complex_matrix_operations.html)
+ -
[`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-9e081ce392909a0df24bb36f03bfa797bed61afc) (matrix_operations.html)
+ -
[`(matrix x, vector y) : matrix`](matrix_operations.qmd#index-entry-147e13862145f964e1cbb7fcc77a67089a7e5e34) (matrix_operations.html)
+ -
[`(real x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-c2a28748bc8f89b100ba5a447e6a37085a0c322f) (matrix_operations.html)
+ -
[`(row_vector x, real y) : row_vector`](matrix_operations.qmd#index-entry-3bee320543341ea29edfb9d04aca5cc49f8e0b95) (matrix_operations.html)
+ -
[`(row_vector x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-21151b3cbeecb129181ef54f899636e705e64a59) (matrix_operations.html)
+ -
[`(vector x, matrix y) : matrix`](matrix_operations.qmd#index-entry-864b816280933455ecf6e923c13d45129a29b0fd) (matrix_operations.html)
+ -
[`(vector x, vector y) : matrix`](matrix_operations.qmd#index-entry-58eedcbe1e2b7f299a093b3640fbf33c5ed668a7) (matrix_operations.html)
-**append_row**: +**append_row**: - - [`(complex x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-a9fd96b44e573f1bb61f0cf8266f4bdc7a805dd3) - - [`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ca4bcfd187ccd1d2f4f0816dfc7f2b31f95ff4b2) - - [`(complex_matrix x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a0c350c64c953d5aa3a9de44bc62448e1b90233d) - - [`(complex_row_vector x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-cbbd35ff37b9d41a2c66dbb60739e4b40a3b2c92) - - [`(complex_row_vector x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-d3f8a5fb9c0e574f1b8fc41e58b9ff4d768b1316) - - [`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-8140228bb8f902ae61c5e8eba43e81e6d32de7bd) - - [`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-101152cf279176e6d126b58acb513a382b3076db) - - [`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-135048f5cff906d2164940e5b4b34af8be6d9972) - - [`(matrix x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-1f14ca719bab4b3d6eff9ae371f10a5fac48b85c) - - [`(real x, vector y) : vector`](matrix_operations.qmd#index-entry-be0707e02550507f8665c2fa85d337275029a3c5) - - [`(row_vector x, matrix y) : matrix`](matrix_operations.qmd#index-entry-54b2d5adfa559ab3f257ab5acd8f7f57c4fafbf9) - - [`(row_vector x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-6f6580337b50792274a5b4740260362421589d97) - - [`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-626869953f524fd6120faadc1ed9dcdb8f710167) - - [`(vector x, vector y) : vector`](matrix_operations.qmd#index-entry-f406895b07b910f47d6bd89b7d603c711582be11) + -
[`(complex x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-a9fd96b44e573f1bb61f0cf8266f4bdc7a805dd3) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ca4bcfd187ccd1d2f4f0816dfc7f2b31f95ff4b2) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a0c350c64c953d5aa3a9de44bc62448e1b90233d) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-cbbd35ff37b9d41a2c66dbb60739e4b40a3b2c92) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-d3f8a5fb9c0e574f1b8fc41e58b9ff4d768b1316) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-8140228bb8f902ae61c5e8eba43e81e6d32de7bd) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-101152cf279176e6d126b58acb513a382b3076db) (complex_matrix_operations.html)
+ -
[`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-135048f5cff906d2164940e5b4b34af8be6d9972) (matrix_operations.html)
+ -
[`(matrix x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-1f14ca719bab4b3d6eff9ae371f10a5fac48b85c) (matrix_operations.html)
+ -
[`(real x, vector y) : vector`](matrix_operations.qmd#index-entry-be0707e02550507f8665c2fa85d337275029a3c5) (matrix_operations.html)
+ -
[`(row_vector x, matrix y) : matrix`](matrix_operations.qmd#index-entry-54b2d5adfa559ab3f257ab5acd8f7f57c4fafbf9) (matrix_operations.html)
+ -
[`(row_vector x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-6f6580337b50792274a5b4740260362421589d97) (matrix_operations.html)
+ -
[`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-626869953f524fd6120faadc1ed9dcdb8f710167) (matrix_operations.html)
+ -
[`(vector x, vector y) : vector`](matrix_operations.qmd#index-entry-f406895b07b910f47d6bd89b7d603c711582be11) (matrix_operations.html)
-**arg**: +**arg**: - - [`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-14bed65ae47bba6447a5f2bb816ef9fe09bb8dd2) + -
[`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-14bed65ae47bba6447a5f2bb816ef9fe09bb8dd2) (complex-valued_basic_functions.html)
-**asin**: +**asin**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-e8dbabd64d9392bddc505ca75aaf4aa1ef314c3d) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f2bf9ebf3337e4f590b7f30ebe4aaeb04d2ca9a3) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-e8dbabd64d9392bddc505ca75aaf4aa1ef314c3d) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f2bf9ebf3337e4f590b7f30ebe4aaeb04d2ca9a3) (real-valued_basic_functions.html)
-**asinh**: +**asinh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8fd580d63363a17a791a49b5b536b475a5bef834) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-a267074b1b9acb770b679aeaca1e79f326fecd09) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8fd580d63363a17a791a49b5b536b475a5bef834) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-a267074b1b9acb770b679aeaca1e79f326fecd09) (real-valued_basic_functions.html)
-**atan**: +**atan**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-f60565512ea3debd990f3ae7ee57978b45210673) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4ff6fd29f63ba53b4b854f16fb4122d25f817257) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-f60565512ea3debd990f3ae7ee57978b45210673) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4ff6fd29f63ba53b4b854f16fb4122d25f817257) (real-valued_basic_functions.html)
-**atan2**: +**atan2**: - - [`(T y, T x) : R`](real-valued_basic_functions.qmd#index-entry-bf8aeecad9e7aec2135da1c0e68b6c6e380eb65c) + -
[`(T y, T x) : R`](real-valued_basic_functions.qmd#index-entry-bf8aeecad9e7aec2135da1c0e68b6c6e380eb65c) (real-valued_basic_functions.html)
-**atanh**: +**atanh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-51283fe4d2aef2c21fe4abe006b88ed2a9ab8b92) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1a2910acee55dabfad98224fee341fccc8af7cb0) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-51283fe4d2aef2c21fe4abe006b88ed2a9ab8b92) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1a2910acee55dabfad98224fee341fccc8af7cb0) (real-valued_basic_functions.html)
## B -**bernoulli**: +**bernoulli**: - - [distribution statement](binary_distributions.qmd#index-entry-7bb1d0fe6798b5a1780314a5829d10cf070cb584) + -
[distribution statement](binary_distributions.qmd#index-entry-7bb1d0fe6798b5a1780314a5829d10cf070cb584) (binary_distributions.html)
-**bernoulli_cdf**: +**bernoulli_cdf**: - - [`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-fba3b9784cb145bce67dc4b2b5b7e6beedcde682) + -
[`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-fba3b9784cb145bce67dc4b2b5b7e6beedcde682) (binary_distributions.html)
-**bernoulli_lccdf**: +**bernoulli_lccdf**: - - [`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-8669190b9a16302c87a7a759518c13b507ba01d5) + -
[`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-8669190b9a16302c87a7a759518c13b507ba01d5) (binary_distributions.html)
-**bernoulli_lcdf**: +**bernoulli_lcdf**: - - [`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-aee9b81290c031013a18766f7c73a0d661732bc1) + -
[`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-aee9b81290c031013a18766f7c73a0d661732bc1) (binary_distributions.html)
-**bernoulli_logit**: +**bernoulli_logit**: - - [distribution statement](binary_distributions.qmd#index-entry-778ebacd22f9f00e5c91bc26ac55e9ef4530423a) + -
[distribution statement](binary_distributions.qmd#index-entry-778ebacd22f9f00e5c91bc26ac55e9ef4530423a) (binary_distributions.html)
-**bernoulli_logit_glm**: +**bernoulli_logit_glm**: - - [distribution statement](binary_distributions.qmd#index-entry-cc775222ff8767d0ddb5f23a1f67b77eac3ef7f1) + -
[distribution statement](binary_distributions.qmd#index-entry-cc775222ff8767d0ddb5f23a1f67b77eac3ef7f1) (binary_distributions.html)
-**bernoulli_logit_glm_lpmf**: +**bernoulli_logit_glm_lpmf**: - - [`(array[] int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-3c4e9f4b1e229095991ef7d66e815550e6189de8) - - [`(array[] int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-5ba40a905c796c1bcd54602e2cdde64d36486f54) - - [`(array[] int y | row_vector x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-e6ed6ee376ada4610e458b39eb40199e201a1752) - - [`(array[] int y | row_vector x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-616a93c521e26ed8b747183681c8f77775ffad47) - - [`(int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-b84bfdcb0924789b419a611e996c6185d4c9ec71) - - [`(int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-8595b1aadcd41c4266263ddfa5529f3381f42c02) + -
[`(array[] int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-3c4e9f4b1e229095991ef7d66e815550e6189de8) (binary_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-5ba40a905c796c1bcd54602e2cdde64d36486f54) (binary_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-e6ed6ee376ada4610e458b39eb40199e201a1752) (binary_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-616a93c521e26ed8b747183681c8f77775ffad47) (binary_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-b84bfdcb0924789b419a611e996c6185d4c9ec71) (binary_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-8595b1aadcd41c4266263ddfa5529f3381f42c02) (binary_distributions.html)
-**bernoulli_logit_glm_lupmf**: +**bernoulli_logit_glm_lupmf**: - - [`(array[] int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-171d0ba3be3d570d3167c621b3a6e7bac0f34b49) - - [`(array[] int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-75e3b277f495a675db21144dfd54403c5b61e4b1) - - [`(array[] int y | row_vector x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-75fe439a6c3fdf76668cd7afcb6fcc6d7d2aee4e) - - [`(array[] int y | row_vector x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-06917600c21e8a8c04a19d2e00412d5adc619330) - - [`(int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-58e5cd13a2585a62b0a4305dfb70b2276419bd31) - - [`(int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-09934df75edb200a53b9e3f261e389a5c908bb0e) + -
[`(array[] int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-171d0ba3be3d570d3167c621b3a6e7bac0f34b49) (binary_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-75e3b277f495a675db21144dfd54403c5b61e4b1) (binary_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-75fe439a6c3fdf76668cd7afcb6fcc6d7d2aee4e) (binary_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-06917600c21e8a8c04a19d2e00412d5adc619330) (binary_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta) : real`](binary_distributions.qmd#index-entry-58e5cd13a2585a62b0a4305dfb70b2276419bd31) (binary_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta) : real`](binary_distributions.qmd#index-entry-09934df75edb200a53b9e3f261e389a5c908bb0e) (binary_distributions.html)
-**bernoulli_logit_glm_rng**: +**bernoulli_logit_glm_rng**: - - [`(matrix x, vector alpha, vector beta) : array[] int`](binary_distributions.qmd#index-entry-1caea52d2e1f6a4419889e2a233b20178f262a89) - - [`(row_vector x, vector alpha, vector beta) : array[] int`](binary_distributions.qmd#index-entry-486921f4f12ed8fec65ef02c934ac90a947400a0) + -
[`(matrix x, vector alpha, vector beta) : array[] int`](binary_distributions.qmd#index-entry-1caea52d2e1f6a4419889e2a233b20178f262a89) (binary_distributions.html)
+ -
[`(row_vector x, vector alpha, vector beta) : array[] int`](binary_distributions.qmd#index-entry-486921f4f12ed8fec65ef02c934ac90a947400a0) (binary_distributions.html)
-**bernoulli_logit_lpmf**: +**bernoulli_logit_lpmf**: - - [`(ints y | reals alpha) : real`](binary_distributions.qmd#index-entry-cad8c604c21adb32fa4d2b5789b7a3888ebaf554) + -
[`(ints y | reals alpha) : real`](binary_distributions.qmd#index-entry-cad8c604c21adb32fa4d2b5789b7a3888ebaf554) (binary_distributions.html)
-**bernoulli_logit_lupmf**: +**bernoulli_logit_lupmf**: - - [`(ints y | reals alpha) : real`](binary_distributions.qmd#index-entry-74fd84a52ce20d7b2b2914acecea456438e780a5) + -
[`(ints y | reals alpha) : real`](binary_distributions.qmd#index-entry-74fd84a52ce20d7b2b2914acecea456438e780a5) (binary_distributions.html)
-**bernoulli_logit_rng**: +**bernoulli_logit_rng**: - - [`(reals alpha) : R`](binary_distributions.qmd#index-entry-275ab72ec22b30d37f9bc02991be25a6bd23f49a) + -
[`(reals alpha) : R`](binary_distributions.qmd#index-entry-275ab72ec22b30d37f9bc02991be25a6bd23f49a) (binary_distributions.html)
-**bernoulli_lpmf**: +**bernoulli_lpmf**: - - [`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-d5704b5b3fb92b6acbe402518995306b417633a6) + -
[`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-d5704b5b3fb92b6acbe402518995306b417633a6) (binary_distributions.html)
-**bernoulli_lupmf**: +**bernoulli_lupmf**: - - [`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-d71dcd384cd23a024264d9e21555dafc50336c88) + -
[`(ints y | reals theta) : real`](binary_distributions.qmd#index-entry-d71dcd384cd23a024264d9e21555dafc50336c88) (binary_distributions.html)
-**bernoulli_rng**: +**bernoulli_rng**: - - [`(reals theta) : R`](binary_distributions.qmd#index-entry-8e32579888cc9b06d6c81f2c372fc7b94641ce47) + -
[`(reals theta) : R`](binary_distributions.qmd#index-entry-8e32579888cc9b06d6c81f2c372fc7b94641ce47) (binary_distributions.html)
-**bessel_first_kind**: +**bessel_first_kind**: - - [`(int v, real x) : real`](real-valued_basic_functions.qmd#index-entry-3bc21536b0609c1753010054298a02498c21c610) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-88cb374bd5bc83af305e30102a59f6e38cd04165) + -
[`(int v, real x) : real`](real-valued_basic_functions.qmd#index-entry-3bc21536b0609c1753010054298a02498c21c610) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-88cb374bd5bc83af305e30102a59f6e38cd04165) (real-valued_basic_functions.html)
-**bessel_second_kind**: +**bessel_second_kind**: - - [`(int v, real x) : real`](real-valued_basic_functions.qmd#index-entry-a76f46f2143eed84250e51f4f9fa21abf7ff8085) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-7d09ab04cf9e5ad369f0475cf89c0dcf0e6cf137) + -
[`(int v, real x) : real`](real-valued_basic_functions.qmd#index-entry-a76f46f2143eed84250e51f4f9fa21abf7ff8085) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-7d09ab04cf9e5ad369f0475cf89c0dcf0e6cf137) (real-valued_basic_functions.html)
-**beta**: +**beta**: - - [`(real alpha, real beta) : real`](real-valued_basic_functions.qmd#index-entry-bbec535fbcce7c57b2dd2cc189383f0c180038ed) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-faea3c6dc569671c76ab57211c00ebac2394742c) - - [distribution statement](continuous_distributions_on_0_1.qmd#index-entry-ed6b0e2a1365933147e892aab802b3da10b2bb6d) + -
[`(real alpha, real beta) : real`](real-valued_basic_functions.qmd#index-entry-bbec535fbcce7c57b2dd2cc189383f0c180038ed) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-faea3c6dc569671c76ab57211c00ebac2394742c) (real-valued_basic_functions.html)
+ -
[distribution statement](continuous_distributions_on_0_1.qmd#index-entry-ed6b0e2a1365933147e892aab802b3da10b2bb6d) (continuous_distributions_on_0_1.html)
-**beta_binomial**: +**beta_binomial**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-989d2a39dee7b5799bfbc8bc1274f0307b4894a2) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-989d2a39dee7b5799bfbc8bc1274f0307b4894a2) (bounded_discrete_distributions.html)
-**beta_binomial_cdf**: +**beta_binomial_cdf**: - - [`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-ba9143f242e640009de45aa086f5082832c63ac0) + -
[`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-ba9143f242e640009de45aa086f5082832c63ac0) (bounded_discrete_distributions.html)
-**beta_binomial_lccdf**: +**beta_binomial_lccdf**: - - [`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-865ef09530f64c02214e607ccdee381fca79831c) + -
[`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-865ef09530f64c02214e607ccdee381fca79831c) (bounded_discrete_distributions.html)
-**beta_binomial_lcdf**: +**beta_binomial_lcdf**: - - [`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-85c6b546de98c04c4454a1521ecc3fad803b7994) + -
[`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-85c6b546de98c04c4454a1521ecc3fad803b7994) (bounded_discrete_distributions.html)
-**beta_binomial_lpmf**: +**beta_binomial_lpmf**: - - [`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-5e63ca67ce5a7886091457e81ed9ad8abad1af53) + -
[`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-5e63ca67ce5a7886091457e81ed9ad8abad1af53) (bounded_discrete_distributions.html)
-**beta_binomial_lupmf**: +**beta_binomial_lupmf**: - - [`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-91a92506bc4098570edad18162c4925e53b060cb) + -
[`(ints n | ints N, reals alpha, reals beta) : real`](bounded_discrete_distributions.qmd#index-entry-91a92506bc4098570edad18162c4925e53b060cb) (bounded_discrete_distributions.html)
-**beta_binomial_rng**: +**beta_binomial_rng**: - - [`(ints N, reals alpha, reals beta) : R`](bounded_discrete_distributions.qmd#index-entry-2103ccd2a4395de2cf0bc035105ff78f46f83671) + -
[`(ints N, reals alpha, reals beta) : R`](bounded_discrete_distributions.qmd#index-entry-2103ccd2a4395de2cf0bc035105ff78f46f83671) (bounded_discrete_distributions.html)
-**beta_cdf**: +**beta_cdf**: - - [`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-096320ad72e962315021c5f04c98350b8ff52744) + -
[`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-096320ad72e962315021c5f04c98350b8ff52744) (continuous_distributions_on_0_1.html)
-**beta_lccdf**: +**beta_lccdf**: - - [`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-70ce7e460a07bc188c0e0eb7ab6c0ed1d212d523) + -
[`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-70ce7e460a07bc188c0e0eb7ab6c0ed1d212d523) (continuous_distributions_on_0_1.html)
-**beta_lcdf**: +**beta_lcdf**: - - [`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-a3067ae5b48a826e8ad6971507a45b59a9e242ed) + -
[`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-a3067ae5b48a826e8ad6971507a45b59a9e242ed) (continuous_distributions_on_0_1.html)
-**beta_lpdf**: +**beta_lpdf**: - - [`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-93d2282b7bada6cf97c5977413fb03d509c396ea) + -
[`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-93d2282b7bada6cf97c5977413fb03d509c396ea) (continuous_distributions_on_0_1.html)
-**beta_lupdf**: +**beta_lupdf**: - - [`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-340181b236cc79820c87cfca7dc7e8d9ef5bdf6e) + -
[`(reals theta | reals alpha, reals beta) : real`](continuous_distributions_on_0_1.qmd#index-entry-340181b236cc79820c87cfca7dc7e8d9ef5bdf6e) (continuous_distributions_on_0_1.html)
-**beta_proportion**: +**beta_proportion**: - - [distribution statement](continuous_distributions_on_0_1.qmd#index-entry-9e3ba228a8bb07d871e13efa26340614b125cd7f) + -
[distribution statement](continuous_distributions_on_0_1.qmd#index-entry-9e3ba228a8bb07d871e13efa26340614b125cd7f) (continuous_distributions_on_0_1.html)
-**beta_proportion_lccdf**: +**beta_proportion_lccdf**: - - [`(reals theta | reals mu, reals kappa) : real`](continuous_distributions_on_0_1.qmd#index-entry-8c5423cb82f066b9e55e6fdeefcbb2355698308f) + -
[`(reals theta | reals mu, reals kappa) : real`](continuous_distributions_on_0_1.qmd#index-entry-8c5423cb82f066b9e55e6fdeefcbb2355698308f) (continuous_distributions_on_0_1.html)
-**beta_proportion_lcdf**: +**beta_proportion_lcdf**: - - [`(reals theta | reals mu, reals kappa) : real`](continuous_distributions_on_0_1.qmd#index-entry-61a129c59e7facb5ab538ca66fb2f4f1750bf7e1) + -
[`(reals theta | reals mu, reals kappa) : real`](continuous_distributions_on_0_1.qmd#index-entry-61a129c59e7facb5ab538ca66fb2f4f1750bf7e1) (continuous_distributions_on_0_1.html)
-**beta_proportion_lpdf**: +**beta_proportion_lpdf**: - - [distribution statement](continuous_distributions_on_0_1.qmd#index-entry-17df822665a57e3384bab6b0afda777c4143c7e0) + -
[distribution statement](continuous_distributions_on_0_1.qmd#index-entry-17df822665a57e3384bab6b0afda777c4143c7e0) (continuous_distributions_on_0_1.html)
-**beta_proportion_lupdf**: +**beta_proportion_lupdf**: - - [distribution statement](continuous_distributions_on_0_1.qmd#index-entry-2405cab8a4a9d35c52fc1b0951a25d3074339f72) + -
[distribution statement](continuous_distributions_on_0_1.qmd#index-entry-2405cab8a4a9d35c52fc1b0951a25d3074339f72) (continuous_distributions_on_0_1.html)
-**beta_proportion_rng**: +**beta_proportion_rng**: - - [`(reals mu, reals kappa) : R`](continuous_distributions_on_0_1.qmd#index-entry-55d15275007130c8e57a41bf24370311b3581959) + -
[`(reals mu, reals kappa) : R`](continuous_distributions_on_0_1.qmd#index-entry-55d15275007130c8e57a41bf24370311b3581959) (continuous_distributions_on_0_1.html)
-**beta_rng**: +**beta_rng**: - - [`(reals alpha, reals beta) : R`](continuous_distributions_on_0_1.qmd#index-entry-447854f88734efbef65bc89140a035fe0f16cc74) + -
[`(reals alpha, reals beta) : R`](continuous_distributions_on_0_1.qmd#index-entry-447854f88734efbef65bc89140a035fe0f16cc74) (continuous_distributions_on_0_1.html)
-**binary_log_loss**: +**binary_log_loss**: - - [`(int y, real y_hat) : real`](real-valued_basic_functions.qmd#index-entry-44fff3495ce5cd36ebde4587e802cb7bdc795794) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-05d751372242ac11c1c7356d09fb0341276b897c) + -
[`(int y, real y_hat) : real`](real-valued_basic_functions.qmd#index-entry-44fff3495ce5cd36ebde4587e802cb7bdc795794) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-05d751372242ac11c1c7356d09fb0341276b897c) (real-valued_basic_functions.html)
-**binomial**: +**binomial**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-04d7179640d2a656dc12c9b1c5ed98a04620ef81) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-04d7179640d2a656dc12c9b1c5ed98a04620ef81) (bounded_discrete_distributions.html)
-**binomial_cdf**: +**binomial_cdf**: - - [`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-304f7e96d0cb2c64c6ff84e3b67d56b0ff58e1cc) + -
[`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-304f7e96d0cb2c64c6ff84e3b67d56b0ff58e1cc) (bounded_discrete_distributions.html)
-**binomial_lccdf**: +**binomial_lccdf**: - - [`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-51c3d20caad1f513ce40fc1c8af17ec9c1d82eca) + -
[`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-51c3d20caad1f513ce40fc1c8af17ec9c1d82eca) (bounded_discrete_distributions.html)
-**binomial_lcdf**: +**binomial_lcdf**: - - [`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-0414522d06188bdb5122e227051e36f457a2a1c6) + -
[`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-0414522d06188bdb5122e227051e36f457a2a1c6) (bounded_discrete_distributions.html)
-**binomial_logit**: +**binomial_logit**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-0c90bd9f55ca58f075077bde8a8c7fa4b260b346) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-0c90bd9f55ca58f075077bde8a8c7fa4b260b346) (bounded_discrete_distributions.html)
-**binomial_logit_glm**: +**binomial_logit_glm**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-c8c31102f7b5abf104dd462dd52e20ad4ee53d24) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-c8c31102f7b5abf104dd462dd52e20ad4ee53d24) (bounded_discrete_distributions.html)
-**binomial_logit_glm_lpmf**: +**binomial_logit_glm_lpmf**: - - [`(array[] int n | array[] int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-3f85893b1fea02de309015929662b0b20beb9309) - - [`(array[] int n | array[] int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-1882ad2cd7ca87f3d1050d5be18f2adcc431d794) - - [`(array[] int n | array[] int N, row_vector x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-e1b1936f95d710de4ad0682cbf085a530908d39a) - - [`(array[] int n | array[] int N, row_vector x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-e38992f8d67e6ef5ce4e08abdfb07fe5ff1d3c9a) - - [`(int n | int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-3da9351d4d4f1762941c69259fcfddf39dd65eae) - - [`(int n | int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-a7a84a22f1a74964827e7e3c3c2ecb0233e5cf37) + -
[`(array[] int n | array[] int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-3f85893b1fea02de309015929662b0b20beb9309) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-1882ad2cd7ca87f3d1050d5be18f2adcc431d794) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, row_vector x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-e1b1936f95d710de4ad0682cbf085a530908d39a) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, row_vector x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-e38992f8d67e6ef5ce4e08abdfb07fe5ff1d3c9a) (bounded_discrete_distributions.html)
+ -
[`(int n | int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-3da9351d4d4f1762941c69259fcfddf39dd65eae) (bounded_discrete_distributions.html)
+ -
[`(int n | int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-a7a84a22f1a74964827e7e3c3c2ecb0233e5cf37) (bounded_discrete_distributions.html)
-**binomial_logit_glm_lupmf**: +**binomial_logit_glm_lupmf**: - - [`(array[] int n | array[] int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-f45f2f92b4005c55ad8f5cdd2285c9708fefe806) - - [`(array[] int n | array[] int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-9889fa94aac823796e6949b79108363bfbbbaa9d) - - [`(array[] int n | array[] int N, row_vector x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-428627db76fccf914ceaefa4cd5884bd131556b9) - - [`(array[] int n | array[] int N, row_vector x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-7d6e3169c60256f12c03411a7509e0370a1ee157) - - [`(int n | int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-de178183d4185e13aa59ffee44cc49a8ba2dc7e9) - - [`(int n | int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-588f750b18cf5987a93c0022ecc43c232efc3e24) + -
[`(array[] int n | array[] int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-f45f2f92b4005c55ad8f5cdd2285c9708fefe806) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-9889fa94aac823796e6949b79108363bfbbbaa9d) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, row_vector x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-428627db76fccf914ceaefa4cd5884bd131556b9) (bounded_discrete_distributions.html)
+ -
[`(array[] int n | array[] int N, row_vector x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-7d6e3169c60256f12c03411a7509e0370a1ee157) (bounded_discrete_distributions.html)
+ -
[`(int n | int N, matrix x, real alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-de178183d4185e13aa59ffee44cc49a8ba2dc7e9) (bounded_discrete_distributions.html)
+ -
[`(int n | int N, matrix x, vector alpha, vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-588f750b18cf5987a93c0022ecc43c232efc3e24) (bounded_discrete_distributions.html)
-**binomial_logit_lpmf**: +**binomial_logit_lpmf**: - - [`(ints n | ints N, reals alpha) : real`](bounded_discrete_distributions.qmd#index-entry-2231c87f532ddd0458a862cf4cc6e80ca618fc99) + -
[`(ints n | ints N, reals alpha) : real`](bounded_discrete_distributions.qmd#index-entry-2231c87f532ddd0458a862cf4cc6e80ca618fc99) (bounded_discrete_distributions.html)
-**binomial_logit_lupmf**: +**binomial_logit_lupmf**: - - [`(ints n | ints N, reals alpha) : real`](bounded_discrete_distributions.qmd#index-entry-2fe1708373b5f137c68a8ac756400a2be58856fd) + -
[`(ints n | ints N, reals alpha) : real`](bounded_discrete_distributions.qmd#index-entry-2fe1708373b5f137c68a8ac756400a2be58856fd) (bounded_discrete_distributions.html)
-**binomial_lpmf**: +**binomial_lpmf**: - - [`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-8798e65d04763014c36aa7b9c6509c71c538efb6) + -
[`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-8798e65d04763014c36aa7b9c6509c71c538efb6) (bounded_discrete_distributions.html)
-**binomial_lupmf**: +**binomial_lupmf**: - - [`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-d9a18d8e413d00481fdf0a47e523a5232870fc25) + -
[`(ints n | ints N, reals theta) : real`](bounded_discrete_distributions.qmd#index-entry-d9a18d8e413d00481fdf0a47e523a5232870fc25) (bounded_discrete_distributions.html)
-**binomial_rng**: +**binomial_rng**: - - [`(ints N, reals theta) : R`](bounded_discrete_distributions.qmd#index-entry-15ce73a3a3caa43cbbe65c4e58495cf18ed8886e) + -
[`(ints N, reals theta) : R`](bounded_discrete_distributions.qmd#index-entry-15ce73a3a3caa43cbbe65c4e58495cf18ed8886e) (bounded_discrete_distributions.html)
-**block**: +**block**: - - [`(complex_matrix x, int i, int j, int n_rows, int n_cols) : complex_matrix`](complex_matrix_operations.qmd#index-entry-2d1266e93b2287bbb26f4015769ebc779ef29f81) - - [`(matrix x, int i, int j, int n_rows, int n_cols) : matrix`](matrix_operations.qmd#index-entry-ed12d70d85024ac1bb87c1c1c5971659fb5f2cc1) + -
[`(complex_matrix x, int i, int j, int n_rows, int n_cols) : complex_matrix`](complex_matrix_operations.qmd#index-entry-2d1266e93b2287bbb26f4015769ebc779ef29f81) (complex_matrix_operations.html)
+ -
[`(matrix x, int i, int j, int n_rows, int n_cols) : matrix`](matrix_operations.qmd#index-entry-ed12d70d85024ac1bb87c1c1c5971659fb5f2cc1) (matrix_operations.html)
## C -**categorical**: +**categorical**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-bd19bcb6308a78b3569b39d80a5050df0380eae5) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-bd19bcb6308a78b3569b39d80a5050df0380eae5) (bounded_discrete_distributions.html)
-**categorical_logit**: +**categorical_logit**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-2ffcb74c4ba70a5424f59a10d068421051f4963c) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-2ffcb74c4ba70a5424f59a10d068421051f4963c) (bounded_discrete_distributions.html)
-**categorical_logit_glm**: +**categorical_logit_glm**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-9d4042f47493597a30307ede3c9743ad09549f4d) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-9d4042f47493597a30307ede3c9743ad09549f4d) (bounded_discrete_distributions.html)
-**categorical_logit_glm_lpmf**: +**categorical_logit_glm_lpmf**: - - [`(array[] int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-512bbe1dc00cc3ef23d8272ec1c0da56105f1c42) - - [`(array[] int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-8f756acaa498908962c53d1a6b0af17598fd8524) - - [`(int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-b41f55e8856f7805a26e7a2ee183d028df87f769) - - [`(int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-4e1f97ef06a17d796b0a7cc5ae22003b03f95401) + -
[`(array[] int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-512bbe1dc00cc3ef23d8272ec1c0da56105f1c42) (bounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-8f756acaa498908962c53d1a6b0af17598fd8524) (bounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-b41f55e8856f7805a26e7a2ee183d028df87f769) (bounded_discrete_distributions.html)
+ -
[`(int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-4e1f97ef06a17d796b0a7cc5ae22003b03f95401) (bounded_discrete_distributions.html)
-**categorical_logit_glm_lupmf**: +**categorical_logit_glm_lupmf**: - - [`(array[] int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-09da9504e8676f6b35327c85d13771d63f77b83b) - - [`(array[] int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-518462f77e8ba90187fbc7302cb54236a0c8b333) - - [`(int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-866be3d0f99507bddabbbe0652cce251858d2c37) - - [`(int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-3e5402103e17dd48bb2625e6a2b76c48782a1a72) + -
[`(array[] int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-09da9504e8676f6b35327c85d13771d63f77b83b) (bounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-518462f77e8ba90187fbc7302cb54236a0c8b333) (bounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-866be3d0f99507bddabbbe0652cce251858d2c37) (bounded_discrete_distributions.html)
+ -
[`(int y | row_vector x, vector alpha, matrix beta) : real`](bounded_discrete_distributions.qmd#index-entry-3e5402103e17dd48bb2625e6a2b76c48782a1a72) (bounded_discrete_distributions.html)
-**categorical_logit_lpmf**: +**categorical_logit_lpmf**: - - [`(ints y | vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-da54bfd2ecc17ee462038470f94a63c7be030e08) + -
[`(ints y | vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-da54bfd2ecc17ee462038470f94a63c7be030e08) (bounded_discrete_distributions.html)
-**categorical_logit_lupmf**: +**categorical_logit_lupmf**: - - [`(ints y | vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-07422d7054ee8fa6c1816736064c38c694563486) + -
[`(ints y | vector beta) : real`](bounded_discrete_distributions.qmd#index-entry-07422d7054ee8fa6c1816736064c38c694563486) (bounded_discrete_distributions.html)
-**categorical_logit_rng**: +**categorical_logit_rng**: - - [`(vector beta) : int`](bounded_discrete_distributions.qmd#index-entry-2da030b7d2ce945503ab8ef37e97ee5afc78305e) + -
[`(vector beta) : int`](bounded_discrete_distributions.qmd#index-entry-2da030b7d2ce945503ab8ef37e97ee5afc78305e) (bounded_discrete_distributions.html)
-**categorical_lpmf**: +**categorical_lpmf**: - - [`(ints y | vector theta) : real`](bounded_discrete_distributions.qmd#index-entry-9dfc05c1a7f9f9cf620187547781111da6ad08ab) + -
[`(ints y | vector theta) : real`](bounded_discrete_distributions.qmd#index-entry-9dfc05c1a7f9f9cf620187547781111da6ad08ab) (bounded_discrete_distributions.html)
-**categorical_lupmf**: +**categorical_lupmf**: - - [`(ints y | vector theta) : real`](bounded_discrete_distributions.qmd#index-entry-83c502e2e302199ed3e04bed34c4bef07808ba9d) + -
[`(ints y | vector theta) : real`](bounded_discrete_distributions.qmd#index-entry-83c502e2e302199ed3e04bed34c4bef07808ba9d) (bounded_discrete_distributions.html)
-**categorical_rng**: +**categorical_rng**: - - [`(vector theta) : int`](bounded_discrete_distributions.qmd#index-entry-e829b16f14961a0a24d2dd1a7895dcda4ce79bd1) + -
[`(vector theta) : int`](bounded_discrete_distributions.qmd#index-entry-e829b16f14961a0a24d2dd1a7895dcda4ce79bd1) (bounded_discrete_distributions.html)
-**cauchy**: +**cauchy**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-4e9a3b08fddc23e306b5a3b0a4f199124cb7cd90) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-4e9a3b08fddc23e306b5a3b0a4f199124cb7cd90) (unbounded_continuous_distributions.html)
-**cauchy_cdf**: +**cauchy_cdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f636bb8d19bdc544f177d76c3e93b11a8947a332) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f636bb8d19bdc544f177d76c3e93b11a8947a332) (unbounded_continuous_distributions.html)
-**cauchy_lccdf**: +**cauchy_lccdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-252fde132b94e629570349d740a553001ba151d7) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-252fde132b94e629570349d740a553001ba151d7) (unbounded_continuous_distributions.html)
-**cauchy_lcdf**: +**cauchy_lcdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1470e53e1ef3170600faa1e10925e17becd26f46) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1470e53e1ef3170600faa1e10925e17becd26f46) (unbounded_continuous_distributions.html)
-**cauchy_lpdf**: +**cauchy_lpdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-365b2742adf729c8087f3eb28841c38baec29082) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-365b2742adf729c8087f3eb28841c38baec29082) (unbounded_continuous_distributions.html)
-**cauchy_lupdf**: +**cauchy_lupdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-70ded17908d0eaf198cca69f74a0bec65a4ec897) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-70ded17908d0eaf198cca69f74a0bec65a4ec897) (unbounded_continuous_distributions.html)
-**cauchy_rng**: +**cauchy_rng**: - - [`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-56d08e840245967636a7f56a3b26cf0ad54161f8) + -
[`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-56d08e840245967636a7f56a3b26cf0ad54161f8) (unbounded_continuous_distributions.html)
-**cbrt**: +**cbrt**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-e5c3ef31b3dfc2b73c3572239e82a2ae8629df79) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-e5c3ef31b3dfc2b73c3572239e82a2ae8629df79) (real-valued_basic_functions.html)
-**ceil**: +**ceil**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-3989753a963097381576ca0373b3190681b0bbe8) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-3989753a963097381576ca0373b3190681b0bbe8) (real-valued_basic_functions.html)
-**chi_square**: +**chi_square**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-a8bd60e9ff005e8522863542e28a64336a42e65c) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-a8bd60e9ff005e8522863542e28a64336a42e65c) (positive_continuous_distributions.html)
-**chi_square_cdf**: +**chi_square_cdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-face5eba84183b72541fdba1f3b6ea4a1949e9b5) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-face5eba84183b72541fdba1f3b6ea4a1949e9b5) (positive_continuous_distributions.html)
-**chi_square_lccdf**: +**chi_square_lccdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a010e1cf6b0229303867a826777cc2a9b6c3bff9) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a010e1cf6b0229303867a826777cc2a9b6c3bff9) (positive_continuous_distributions.html)
-**chi_square_lcdf**: +**chi_square_lcdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-90d49c25cb5546006ff8802e5928c09d11c03dc8) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-90d49c25cb5546006ff8802e5928c09d11c03dc8) (positive_continuous_distributions.html)
-**chi_square_lpdf**: +**chi_square_lpdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-6c7045c1cb405776f7ed13ebbb5da4b27240ea15) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-6c7045c1cb405776f7ed13ebbb5da4b27240ea15) (positive_continuous_distributions.html)
-**chi_square_lupdf**: +**chi_square_lupdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-9cccc8fcca1c8dd1b172176bd72c946a84d611eb) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-9cccc8fcca1c8dd1b172176bd72c946a84d611eb) (positive_continuous_distributions.html)
-**chi_square_rng**: +**chi_square_rng**: - - [`(reals nu) : R`](positive_continuous_distributions.qmd#index-entry-ced9b4410298033c3bdae65b66331f4a6d973c89) + -
[`(reals nu) : R`](positive_continuous_distributions.qmd#index-entry-ced9b4410298033c3bdae65b66331f4a6d973c89) (positive_continuous_distributions.html)
-**chol2inv**: +**chol2inv**: - - [`(matrix L) : matrix`](matrix_operations.qmd#index-entry-0fbf0fe61f7df06da84a357eb40e9c719ff806ac) + -
[`(matrix L) : matrix`](matrix_operations.qmd#index-entry-0fbf0fe61f7df06da84a357eb40e9c719ff806ac) (matrix_operations.html)
-**cholesky_decompose**: +**cholesky_decompose**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-a7eaa217876baa0054d78dfff05f5685ef6261bb) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-a7eaa217876baa0054d78dfff05f5685ef6261bb) (matrix_operations.html)
-**choose**: +**choose**: - - [`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-fd4d9124ce89bf38a7ca1601e28f14947fcae3ba) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-ed9d9ccf90b8976a4cc2b40babee7c60d4807087) + -
[`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-fd4d9124ce89bf38a7ca1601e28f14947fcae3ba) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-ed9d9ccf90b8976a4cc2b40babee7c60d4807087) (real-valued_basic_functions.html)
-**col**: +**col**: - - [`(complex_matrix x, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-3a0cf3be0b3793d63afbee36001fbeed1f83f08f) - - [`(matrix x, int n) : vector`](matrix_operations.qmd#index-entry-fe3819da259646140d101538903c86c5bc1b49e9) + -
[`(complex_matrix x, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-3a0cf3be0b3793d63afbee36001fbeed1f83f08f) (complex_matrix_operations.html)
+ -
[`(matrix x, int n) : vector`](matrix_operations.qmd#index-entry-fe3819da259646140d101538903c86c5bc1b49e9) (matrix_operations.html)
-**cols**: +**cols**: - - [`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-22eb74ccaa0e3cbd1875a10b1d25e448aaca1078) - - [`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-a3afb9b9b85c96fcbb2ceccffe8220cdf6930ee0) - - [`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-2926894bc112a2f76fc88ec0d1b66ca72f6907ab) - - [`(matrix x) : int`](matrix_operations.qmd#index-entry-f399f6ffab24708be4ff867cbaef541158fc00bf) - - [`(row_vector x) : int`](matrix_operations.qmd#index-entry-417aeef6881030f640a4ea077e02335739bf0e3e) - - [`(vector x) : int`](matrix_operations.qmd#index-entry-8113ac540f4cc3aa182c3afcfa5d1665778f7fd9) + -
[`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-22eb74ccaa0e3cbd1875a10b1d25e448aaca1078) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-a3afb9b9b85c96fcbb2ceccffe8220cdf6930ee0) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-2926894bc112a2f76fc88ec0d1b66ca72f6907ab) (complex_matrix_operations.html)
+ -
[`(matrix x) : int`](matrix_operations.qmd#index-entry-f399f6ffab24708be4ff867cbaef541158fc00bf) (matrix_operations.html)
+ -
[`(row_vector x) : int`](matrix_operations.qmd#index-entry-417aeef6881030f640a4ea077e02335739bf0e3e) (matrix_operations.html)
+ -
[`(vector x) : int`](matrix_operations.qmd#index-entry-8113ac540f4cc3aa182c3afcfa5d1665778f7fd9) (matrix_operations.html)
-**columns_dot_product**: +**columns_dot_product**: - - [`(complex_matrix x, complex_matrix y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-c0a3895052c73d4b7553b42dfbcf4ceee17d6ebd) - - [`(complex_row_vector x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-aee28160ebf0573187fba8d1b9917b490dfd47cd) - - [`(complex_vector x, complex_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-73c167059a6fb3ee21b48776d84d7c14cd6b6b9a) - - [`(matrix x, matrix y) : row_vector`](matrix_operations.qmd#index-entry-758593f0bee7c0421df7fc503237288851879118) - - [`(row_vector x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-4758c18c6242ed86d28834ea3c356de1d5e22b86) - - [`(vector x, vector y) : row_vector`](matrix_operations.qmd#index-entry-7b3a4d9f9236657fd6d5970b8840e4a2e7e176bf) + -
[`(complex_matrix x, complex_matrix y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-c0a3895052c73d4b7553b42dfbcf4ceee17d6ebd) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-aee28160ebf0573187fba8d1b9917b490dfd47cd) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-73c167059a6fb3ee21b48776d84d7c14cd6b6b9a) (complex_matrix_operations.html)
+ -
[`(matrix x, matrix y) : row_vector`](matrix_operations.qmd#index-entry-758593f0bee7c0421df7fc503237288851879118) (matrix_operations.html)
+ -
[`(row_vector x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-4758c18c6242ed86d28834ea3c356de1d5e22b86) (matrix_operations.html)
+ -
[`(vector x, vector y) : row_vector`](matrix_operations.qmd#index-entry-7b3a4d9f9236657fd6d5970b8840e4a2e7e176bf) (matrix_operations.html)
-**columns_dot_self**: +**columns_dot_self**: - - [`(complex_matrix x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-499a93465efa4feea0949bffdec099ac446865be) - - [`(complex_row_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-5a3c0ca6ac56df87695d6d53c5ed41bd076db1bf) - - [`(complex_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-25320510319f7efaed97fc7327bcb3481a1fd055) - - [`(matrix x) : row_vector`](matrix_operations.qmd#index-entry-664db2ea209dd84f3f62d813817a0be019ff3afb) - - [`(row_vector x) : row_vector`](matrix_operations.qmd#index-entry-258f64fdc22d8a6e1012cfa375d94222962c3add) - - [`(vector x) : row_vector`](matrix_operations.qmd#index-entry-f0c5a660d69d25748bdafa9cda98ee0cfa190cbe) + -
[`(complex_matrix x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-499a93465efa4feea0949bffdec099ac446865be) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-5a3c0ca6ac56df87695d6d53c5ed41bd076db1bf) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-25320510319f7efaed97fc7327bcb3481a1fd055) (complex_matrix_operations.html)
+ -
[`(matrix x) : row_vector`](matrix_operations.qmd#index-entry-664db2ea209dd84f3f62d813817a0be019ff3afb) (matrix_operations.html)
+ -
[`(row_vector x) : row_vector`](matrix_operations.qmd#index-entry-258f64fdc22d8a6e1012cfa375d94222962c3add) (matrix_operations.html)
+ -
[`(vector x) : row_vector`](matrix_operations.qmd#index-entry-f0c5a660d69d25748bdafa9cda98ee0cfa190cbe) (matrix_operations.html)
-**complex_schur_decompose**: +**complex_schur_decompose**: - - [`(complex_matrix A) : tuple(complex_matrix, complex_matrix)`](complex_matrix_operations.qmd#index-entry-400ef877200b32483b4f5a7223c3231666d153b7) - - [`(matrix A) : tuple(complex_matrix, complex_matrix)`](complex_matrix_operations.qmd#index-entry-9c45b8917b1de6f500415512b1d06896cd5f7b5c) + -
[`(complex_matrix A) : tuple(complex_matrix, complex_matrix)`](complex_matrix_operations.qmd#index-entry-400ef877200b32483b4f5a7223c3231666d153b7) (complex_matrix_operations.html)
+ -
[`(matrix A) : tuple(complex_matrix, complex_matrix)`](complex_matrix_operations.qmd#index-entry-9c45b8917b1de6f500415512b1d06896cd5f7b5c) (complex_matrix_operations.html)
-**complex_schur_decompose_t**: +**complex_schur_decompose_t**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-1728988d586fc721b7a1d7d21d1aa3252bb03f94) - - [`(matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-f43e2c8a9893e96b7c09a618d7b6f69350bfc460) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-1728988d586fc721b7a1d7d21d1aa3252bb03f94) (complex_matrix_operations.html)
+ -
[`(matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-f43e2c8a9893e96b7c09a618d7b6f69350bfc460) (complex_matrix_operations.html)
-**complex_schur_decompose_u**: +**complex_schur_decompose_u**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-fdc477180371e8366e3a46dc88f3875f088907c8) - - [`(matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-b169076e82ada507c5c30f36fe4a5bda58af9e0a) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-fdc477180371e8366e3a46dc88f3875f088907c8) (complex_matrix_operations.html)
+ -
[`(matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-b169076e82ada507c5c30f36fe4a5bda58af9e0a) (complex_matrix_operations.html)
-**conj**: +**conj**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-bd2ae18bb245caf34d1b2f12b3883c47d8aa7e0a) - - [`(Z z) : Z`](complex-valued_basic_functions.qmd#index-entry-17692d922273aaba0c5317617aab6585dda28bfa) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-bd2ae18bb245caf34d1b2f12b3883c47d8aa7e0a) (complex-valued_basic_functions.html)
+ -
[`(Z z) : Z`](complex-valued_basic_functions.qmd#index-entry-17692d922273aaba0c5317617aab6585dda28bfa) (complex-valued_basic_functions.html)
-**cos**: +**cos**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-3d86aa681cf64514f405ada706ad9969e5f33080) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-c587dc7908ecfe46cdd09800844ad9ea90e8463b) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-3d86aa681cf64514f405ada706ad9969e5f33080) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-c587dc7908ecfe46cdd09800844ad9ea90e8463b) (real-valued_basic_functions.html)
-**cosh**: +**cosh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-9b0fa15f5eebadc83a3678cb57fd8a1f4d089b94) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1afe4d43c0f158ff3446b0459e002ad8343ee24e) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-9b0fa15f5eebadc83a3678cb57fd8a1f4d089b94) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1afe4d43c0f158ff3446b0459e002ad8343ee24e) (real-valued_basic_functions.html)
-**cov_exp_quad**: +**cov_exp_quad**: - - [`(array[] real x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-1ba90fc13ad6ba28ca73fc3b94b0a65af09669f8) - - [`(array[] real x1, array[] real x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-95bfeb84294b276027c24d3f8856560234423e7c) - - [`(row_vectors x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-92099ecf9309d8f643e455cb6e3f79c985d35cb1) - - [`(row_vectors x1, row_vectors x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-c05741ae8e35d6b11a03c0098ac00b99d5a5c845) - - [`(vectors x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-d271045bb5d0614ff3a2f0e3d8d279d134cf0304) - - [`(vectors x1, vectors x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-70b15de7e29e4e64f05ca3fc552da349d4a66c1f) + -
[`(array[] real x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-1ba90fc13ad6ba28ca73fc3b94b0a65af09669f8) (removed_functions.html)
+ -
[`(array[] real x1, array[] real x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-95bfeb84294b276027c24d3f8856560234423e7c) (removed_functions.html)
+ -
[`(row_vectors x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-92099ecf9309d8f643e455cb6e3f79c985d35cb1) (removed_functions.html)
+ -
[`(row_vectors x1, row_vectors x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-c05741ae8e35d6b11a03c0098ac00b99d5a5c845) (removed_functions.html)
+ -
[`(vectors x, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-d271045bb5d0614ff3a2f0e3d8d279d134cf0304) (removed_functions.html)
+ -
[`(vectors x1, vectors x2, real alpha, real rho) : matrix`](removed_functions.qmd#index-entry-70b15de7e29e4e64f05ca3fc552da349d4a66c1f) (removed_functions.html)
-**crossprod**: +**crossprod**: - - [`(matrix x) : matrix`](matrix_operations.qmd#index-entry-c5372c9d5715e11b5d87a465d6d671d608ef9513) + -
[`(matrix x) : matrix`](matrix_operations.qmd#index-entry-c5372c9d5715e11b5d87a465d6d671d608ef9513) (matrix_operations.html)
-**csr_extract**: +**csr_extract**: - - [`(matrix a) : tuple(vector, array[] int, array[] int)`](sparse_matrix_operations.qmd#index-entry-32fea6602ecbd4c1ea15d25bb2a6b2d2fcf58e52) + -
[`(matrix a) : tuple(vector, array[] int, array[] int)`](sparse_matrix_operations.qmd#index-entry-32fea6602ecbd4c1ea15d25bb2a6b2d2fcf58e52) (sparse_matrix_operations.html)
-**csr_extract_u**: +**csr_extract_u**: - - [`(matrix a) : array[] int`](sparse_matrix_operations.qmd#index-entry-1f750e4b73b9d17d5eadd184840443bab5de2dda) + -
[`(matrix a) : array[] int`](sparse_matrix_operations.qmd#index-entry-1f750e4b73b9d17d5eadd184840443bab5de2dda) (sparse_matrix_operations.html)
-**csr_extract_v**: +**csr_extract_v**: - - [`(matrix a) : array[] int`](sparse_matrix_operations.qmd#index-entry-2569af86a359f94d59f18b21a0b4a15d7ad13f5f) + -
[`(matrix a) : array[] int`](sparse_matrix_operations.qmd#index-entry-2569af86a359f94d59f18b21a0b4a15d7ad13f5f) (sparse_matrix_operations.html)
-**csr_extract_w**: +**csr_extract_w**: - - [`(matrix a) : vector`](sparse_matrix_operations.qmd#index-entry-fa08d7d6e24c28fcab7d2276501e5cbf1b12e09d) + -
[`(matrix a) : vector`](sparse_matrix_operations.qmd#index-entry-fa08d7d6e24c28fcab7d2276501e5cbf1b12e09d) (sparse_matrix_operations.html)
-**csr_matrix_times_vector**: +**csr_matrix_times_vector**: - - [`(int m, int n, vector w, array[] int v, array[] int u, vector b) : vector`](sparse_matrix_operations.qmd#index-entry-a5e3d826290e2d8bff8cf1e1019bd2656ad43d2b) + -
[`(int m, int n, vector w, array[] int v, array[] int u, vector b) : vector`](sparse_matrix_operations.qmd#index-entry-a5e3d826290e2d8bff8cf1e1019bd2656ad43d2b) (sparse_matrix_operations.html)
-**csr_to_dense_matrix**: +**csr_to_dense_matrix**: - - [`(int m, int n, vector w, array[] int v, array[] int u) : matrix`](sparse_matrix_operations.qmd#index-entry-b8ce33cfed90d588aaa17f7c95c10b4206863d15) + -
[`(int m, int n, vector w, array[] int v, array[] int u) : matrix`](sparse_matrix_operations.qmd#index-entry-b8ce33cfed90d588aaa17f7c95c10b4206863d15) (sparse_matrix_operations.html)
-**cumulative_sum**: +**cumulative_sum**: - - [`(array[] complex x) : array[] complex`](complex_matrix_operations.qmd#index-entry-d6b4157abb8f1f7140f20c5b9182ad2f7d69fe37) - - [`(array[] int x) : array[] int`](matrix_operations.qmd#index-entry-092f8a13b9e06f8346cb61b8fc6a6fbacb3b5cc5) - - [`(array[] real x) : array[] real`](matrix_operations.qmd#index-entry-1e965776faac7516107384178cafd382f87f909a) - - [`(complex_row_vector rv) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-c104f0e3e10596f559a8a023c84f92f1b919bc0f) - - [`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-45545f14726c28e6b63c8ec09e06e53b33e4ca02) - - [`(row_vector rv) : row_vector`](matrix_operations.qmd#index-entry-951e3c465251f531a70f0dce6772057bf114685c) - - [`(vector v) : vector`](matrix_operations.qmd#index-entry-7c00c2971c29f98a54f16c9468d5b4a6eb529ff8) + -
[`(array[] complex x) : array[] complex`](complex_matrix_operations.qmd#index-entry-d6b4157abb8f1f7140f20c5b9182ad2f7d69fe37) (complex_matrix_operations.html)
+ -
[`(array[] int x) : array[] int`](matrix_operations.qmd#index-entry-092f8a13b9e06f8346cb61b8fc6a6fbacb3b5cc5) (matrix_operations.html)
+ -
[`(array[] real x) : array[] real`](matrix_operations.qmd#index-entry-1e965776faac7516107384178cafd382f87f909a) (matrix_operations.html)
+ -
[`(complex_row_vector rv) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-c104f0e3e10596f559a8a023c84f92f1b919bc0f) (complex_matrix_operations.html)
+ -
[`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-45545f14726c28e6b63c8ec09e06e53b33e4ca02) (complex_matrix_operations.html)
+ -
[`(row_vector rv) : row_vector`](matrix_operations.qmd#index-entry-951e3c465251f531a70f0dce6772057bf114685c) (matrix_operations.html)
+ -
[`(vector v) : vector`](matrix_operations.qmd#index-entry-7c00c2971c29f98a54f16c9468d5b4a6eb529ff8) (matrix_operations.html)
## D -**dae**: +**dae**: - - [`(function residual, vector initial_state, vector initial_state_derivative, data real initial_time, data array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-c47e85b0ae801c7df44337e2c2b7ffc5c84037bf) + -
[`(function residual, vector initial_state, vector initial_state_derivative, data real initial_time, data array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-c47e85b0ae801c7df44337e2c2b7ffc5c84037bf) (higher-order_functions.html)
-**dae_tol**: +**dae_tol**: - - [`(function residual, vector initial_state, vector initial_state_derivative, data real initial_time, data array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-52f7e7ef9a4a58eb94353bf2cb98511deb94aac9) + -
[`(function residual, vector initial_state, vector initial_state_derivative, data real initial_time, data array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-52f7e7ef9a4a58eb94353bf2cb98511deb94aac9) (higher-order_functions.html)
-**determinant**: +**determinant**: - - [`(matrix A) : real`](matrix_operations.qmd#index-entry-2f0c697d96cb41a09f35f183f179f15b1ee0f3fa) + -
[`(matrix A) : real`](matrix_operations.qmd#index-entry-2f0c697d96cb41a09f35f183f179f15b1ee0f3fa) (matrix_operations.html)
-**diag_matrix**: +**diag_matrix**: - - [`(complex_vector x) : complex_matrix`](complex_matrix_operations.qmd#index-entry-06edc5538b52d1a11f2a6f45be9ca1e0683bbb1e) - - [`(vector x) : matrix`](matrix_operations.qmd#index-entry-74845a2c2d1e1321f2bfdf69d4c7f321c856f555) + -
[`(complex_vector x) : complex_matrix`](complex_matrix_operations.qmd#index-entry-06edc5538b52d1a11f2a6f45be9ca1e0683bbb1e) (complex_matrix_operations.html)
+ -
[`(vector x) : matrix`](matrix_operations.qmd#index-entry-74845a2c2d1e1321f2bfdf69d4c7f321c856f555) (matrix_operations.html)
-**diag_post_multiply**: +**diag_post_multiply**: - - [`(complex_matrix m, complex_row_vector v) : complex_matrix`](complex_matrix_operations.qmd#index-entry-82629e9f9045325a28b4c0610df36226bc6c4562) - - [`(complex_matrix m, complex_vector v) : complex_matrix`](complex_matrix_operations.qmd#index-entry-b8e527d5b7adcfe81f12d70984ba81d895332835) - - [`(matrix m, row_vector rv) : matrix`](matrix_operations.qmd#index-entry-fedf6c86ebf0663043f5e986e077701e6ae185f4) - - [`(matrix m, vector v) : matrix`](matrix_operations.qmd#index-entry-2ff483d0f2d35ce6055a030912e1909c110453dc) + -
[`(complex_matrix m, complex_row_vector v) : complex_matrix`](complex_matrix_operations.qmd#index-entry-82629e9f9045325a28b4c0610df36226bc6c4562) (complex_matrix_operations.html)
+ -
[`(complex_matrix m, complex_vector v) : complex_matrix`](complex_matrix_operations.qmd#index-entry-b8e527d5b7adcfe81f12d70984ba81d895332835) (complex_matrix_operations.html)
+ -
[`(matrix m, row_vector rv) : matrix`](matrix_operations.qmd#index-entry-fedf6c86ebf0663043f5e986e077701e6ae185f4) (matrix_operations.html)
+ -
[`(matrix m, vector v) : matrix`](matrix_operations.qmd#index-entry-2ff483d0f2d35ce6055a030912e1909c110453dc) (matrix_operations.html)
-**diag_pre_multiply**: +**diag_pre_multiply**: - - [`(complex_row_vector v, complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-29b61ea8d42d42252259e35dbe0c427c485ad9e8) - - [`(complex_vector v, complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-7907eb3baed066d578933e3832fe8366c02116eb) - - [`(row_vector rv, matrix m) : matrix`](matrix_operations.qmd#index-entry-87b1033ce509f3990ef4516c29c0b9b08d67c37b) - - [`(vector v, matrix m) : matrix`](matrix_operations.qmd#index-entry-0fc4d71e7bc087ce4f9dec77e1df8df248f41bac) + -
[`(complex_row_vector v, complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-29b61ea8d42d42252259e35dbe0c427c485ad9e8) (complex_matrix_operations.html)
+ -
[`(complex_vector v, complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-7907eb3baed066d578933e3832fe8366c02116eb) (complex_matrix_operations.html)
+ -
[`(row_vector rv, matrix m) : matrix`](matrix_operations.qmd#index-entry-87b1033ce509f3990ef4516c29c0b9b08d67c37b) (matrix_operations.html)
+ -
[`(vector v, matrix m) : matrix`](matrix_operations.qmd#index-entry-0fc4d71e7bc087ce4f9dec77e1df8df248f41bac) (matrix_operations.html)
-**diagonal**: +**diagonal**: - - [`(complex_matrix x) : complex_vector`](complex_matrix_operations.qmd#index-entry-5d28ae699b02999166db3502cec1f2c9b74d1c34) - - [`(matrix x) : vector`](matrix_operations.qmd#index-entry-6d4ef3406b8dabab1d53b29bb53ae58d983d1404) + -
[`(complex_matrix x) : complex_vector`](complex_matrix_operations.qmd#index-entry-5d28ae699b02999166db3502cec1f2c9b74d1c34) (complex_matrix_operations.html)
+ -
[`(matrix x) : vector`](matrix_operations.qmd#index-entry-6d4ef3406b8dabab1d53b29bb53ae58d983d1404) (matrix_operations.html)
-**digamma**: +**digamma**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-2ce1d8a0cdd9878fe64366c88a2381d6e702ff7d) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-2ce1d8a0cdd9878fe64366c88a2381d6e702ff7d) (real-valued_basic_functions.html)
-**dims**: +**dims**: - - [`(T x) : array[] int`](array_operations.qmd#index-entry-15460652371e3354bdc590e3632fc540ab76b525) + -
[`(T x) : array[] int`](array_operations.qmd#index-entry-15460652371e3354bdc590e3632fc540ab76b525) (array_operations.html)
-**dirichlet**: +**dirichlet**: - - [distribution statement](simplex_distributions.qmd#index-entry-2b1866f861130d47e076c909b2da014d36b08615) + -
[distribution statement](simplex_distributions.qmd#index-entry-2b1866f861130d47e076c909b2da014d36b08615) (simplex_distributions.html)
-**dirichlet_lpdf**: +**dirichlet_lpdf**: - - [`(vectors theta | vectors alpha) : real`](simplex_distributions.qmd#index-entry-912dbafe0e9fce423e5413cf88d46731b610742d) + -
[`(vectors theta | vectors alpha) : real`](simplex_distributions.qmd#index-entry-912dbafe0e9fce423e5413cf88d46731b610742d) (simplex_distributions.html)
-**dirichlet_lupdf**: +**dirichlet_lupdf**: - - [`(vectors theta | vectors alpha) : real`](simplex_distributions.qmd#index-entry-d287f450cfac7ef63c57f921d82484ef44abdfa0) + -
[`(vectors theta | vectors alpha) : real`](simplex_distributions.qmd#index-entry-d287f450cfac7ef63c57f921d82484ef44abdfa0) (simplex_distributions.html)
-**dirichlet_multinomial**: +**dirichlet_multinomial**: - - [distribution statement](multivariate_discrete_distributions.qmd#index-entry-3f5317d36179306fa3d125648b669c29f0ae4632) + -
[distribution statement](multivariate_discrete_distributions.qmd#index-entry-3f5317d36179306fa3d125648b669c29f0ae4632) (multivariate_discrete_distributions.html)
-**dirichlet_multinomial_lpmf**: +**dirichlet_multinomial_lpmf**: - - [`(array[] int y | vector alpha) : real`](multivariate_discrete_distributions.qmd#index-entry-fdad801bbd6eb934645dbde5c01f271aa4e741b4) + -
[`(array[] int y | vector alpha) : real`](multivariate_discrete_distributions.qmd#index-entry-fdad801bbd6eb934645dbde5c01f271aa4e741b4) (multivariate_discrete_distributions.html)
-**dirichlet_multinomial_lupmf**: +**dirichlet_multinomial_lupmf**: - - [`(array[] int y | vector alpha) : real`](multivariate_discrete_distributions.qmd#index-entry-6b8a21266747ae90543cbd60108ee12b4d08d5e3) + -
[`(array[] int y | vector alpha) : real`](multivariate_discrete_distributions.qmd#index-entry-6b8a21266747ae90543cbd60108ee12b4d08d5e3) (multivariate_discrete_distributions.html)
-**dirichlet_multinomial_rng**: +**dirichlet_multinomial_rng**: - - [`(vector alpha, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-bdd1be0680f9ae13a49c9c4e6af87b4f9c7359df) + -
[`(vector alpha, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-bdd1be0680f9ae13a49c9c4e6af87b4f9c7359df) (multivariate_discrete_distributions.html)
-**dirichlet_rng**: +**dirichlet_rng**: - - [`(vector alpha) : vector`](simplex_distributions.qmd#index-entry-055ed033fb2096aa99f68c19fe9c3a956577f3b1) + -
[`(vector alpha) : vector`](simplex_distributions.qmd#index-entry-055ed033fb2096aa99f68c19fe9c3a956577f3b1) (simplex_distributions.html)
-**discrete_range**: +**discrete_range**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-081a4566d9bb14c20636b30012e90be941b53978) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-081a4566d9bb14c20636b30012e90be941b53978) (bounded_discrete_distributions.html)
-**discrete_range_cdf**: +**discrete_range_cdf**: - - [`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-92d375a0144eecf4c3bac183f06cde0a573ae0ef) + -
[`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-92d375a0144eecf4c3bac183f06cde0a573ae0ef) (bounded_discrete_distributions.html)
-**discrete_range_lccdf**: +**discrete_range_lccdf**: - - [`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-3dc029db4d1f37e783107470ba6665c647f5a202) + -
[`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-3dc029db4d1f37e783107470ba6665c647f5a202) (bounded_discrete_distributions.html)
-**discrete_range_lcdf**: +**discrete_range_lcdf**: - - [`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-be12560a3a7c198ea965f08a78dab04d83742159) + -
[`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-be12560a3a7c198ea965f08a78dab04d83742159) (bounded_discrete_distributions.html)
-**discrete_range_lpmf**: +**discrete_range_lpmf**: - - [`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-4aeab4cc5d644e56b9409bff2224f5e620c7ce53) + -
[`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-4aeab4cc5d644e56b9409bff2224f5e620c7ce53) (bounded_discrete_distributions.html)
-**discrete_range_lupmf**: +**discrete_range_lupmf**: - - [`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-32514432b1689ab58c658ff3b435675a6e798cef) + -
[`(ints y | ints l, ints u) : real`](bounded_discrete_distributions.qmd#index-entry-32514432b1689ab58c658ff3b435675a6e798cef) (bounded_discrete_distributions.html)
-**discrete_range_rng**: +**discrete_range_rng**: - - [`(ints l, ints u) : ints`](bounded_discrete_distributions.qmd#index-entry-a4c6bdebab12a3547ca7c13ac62e456d0b74c9dc) + -
[`(ints l, ints u) : ints`](bounded_discrete_distributions.qmd#index-entry-a4c6bdebab12a3547ca7c13ac62e456d0b74c9dc) (bounded_discrete_distributions.html)
-**distance**: +**distance**: - - [`(row_vector x, row_vector y) : real`](array_operations.qmd#index-entry-c6112c85adc9432ce6b005aff57babec0dbee55e) - - [`(row_vector x, vector y) : real`](array_operations.qmd#index-entry-a9f701404655eb686e31e66d38918d7e08cd9f3b) - - [`(vector x, row_vector y) : real`](array_operations.qmd#index-entry-d68901fc0a3ff9e987854900a185ee2713e5c520) - - [`(vector x, vector y) : real`](array_operations.qmd#index-entry-702855e7be40e4fcfbe31b5f08538c5fbfba210e) + -
[`(row_vector x, row_vector y) : real`](array_operations.qmd#index-entry-c6112c85adc9432ce6b005aff57babec0dbee55e) (array_operations.html)
+ -
[`(row_vector x, vector y) : real`](array_operations.qmd#index-entry-a9f701404655eb686e31e66d38918d7e08cd9f3b) (array_operations.html)
+ -
[`(vector x, row_vector y) : real`](array_operations.qmd#index-entry-d68901fc0a3ff9e987854900a185ee2713e5c520) (array_operations.html)
+ -
[`(vector x, vector y) : real`](array_operations.qmd#index-entry-702855e7be40e4fcfbe31b5f08538c5fbfba210e) (array_operations.html)
-**dot_product**: +**dot_product**: - - [`(complex_row_vector x, complex_row_vector y) : complex`](complex_matrix_operations.qmd#index-entry-13cdb97ea7e259e98791362de8a261d17dab4e1c) - - [`(complex_row_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-d932a1eed6d525ce1077543b39b6834836923949) - - [`(complex_vector x, complex_row_vector y) : complex`](complex_matrix_operations.qmd#index-entry-dd62ebed52c5e3210bb8a0155e1d5dfa70497439) - - [`(complex_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-bc037b34a4fdc977a944e39e9277f8e6c700bd5b) - - [`(row_vector x, row_vector y) : real`](matrix_operations.qmd#index-entry-5fa1a043fd0dcebec0cb14fd09c1a965c33d37fe) - - [`(row_vector x, vector y) : real`](matrix_operations.qmd#index-entry-5624c84e1a33f2cf540a3d8a2994205918d9915c) - - [`(vector x, row_vector y) : real`](matrix_operations.qmd#index-entry-4ce3d3846b8c242984aca259fd01579e1b2179af) - - [`(vector x, vector y) : real`](matrix_operations.qmd#index-entry-6f3cb76e0af87d28bceef319e85e75976645662e) + -
[`(complex_row_vector x, complex_row_vector y) : complex`](complex_matrix_operations.qmd#index-entry-13cdb97ea7e259e98791362de8a261d17dab4e1c) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-d932a1eed6d525ce1077543b39b6834836923949) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_row_vector y) : complex`](complex_matrix_operations.qmd#index-entry-dd62ebed52c5e3210bb8a0155e1d5dfa70497439) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-bc037b34a4fdc977a944e39e9277f8e6c700bd5b) (complex_matrix_operations.html)
+ -
[`(row_vector x, row_vector y) : real`](matrix_operations.qmd#index-entry-5fa1a043fd0dcebec0cb14fd09c1a965c33d37fe) (matrix_operations.html)
+ -
[`(row_vector x, vector y) : real`](matrix_operations.qmd#index-entry-5624c84e1a33f2cf540a3d8a2994205918d9915c) (matrix_operations.html)
+ -
[`(vector x, row_vector y) : real`](matrix_operations.qmd#index-entry-4ce3d3846b8c242984aca259fd01579e1b2179af) (matrix_operations.html)
+ -
[`(vector x, vector y) : real`](matrix_operations.qmd#index-entry-6f3cb76e0af87d28bceef319e85e75976645662e) (matrix_operations.html)
-**dot_self**: +**dot_self**: - - [`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-d0945f42b843344d7b22f5d088d229c5f5ba64bf) - - [`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-1ae5feb968f94e219b01c1a6943eb1532161e16f) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-806eb76bdef36d3ee3a9a009027593ad32d755f1) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-1ae4fbadff5f8d76241c1cfc33e2c36db7decc73) + -
[`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-d0945f42b843344d7b22f5d088d229c5f5ba64bf) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-1ae5feb968f94e219b01c1a6943eb1532161e16f) (complex_matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-806eb76bdef36d3ee3a9a009027593ad32d755f1) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-1ae4fbadff5f8d76241c1cfc33e2c36db7decc73) (matrix_operations.html)
-**double_exponential**: +**double_exponential**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-b3a44920aadcdd73a61301af6bfb0ba2be51abf8) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-b3a44920aadcdd73a61301af6bfb0ba2be51abf8) (unbounded_continuous_distributions.html)
-**double_exponential_cdf**: +**double_exponential_cdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-8339bce2e4f464e36cd18cd462828f0b740d2657) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-8339bce2e4f464e36cd18cd462828f0b740d2657) (unbounded_continuous_distributions.html)
-**double_exponential_lccdf**: +**double_exponential_lccdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-14eaa0ccbccd40ad1a210cba1462140349b9c18d) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-14eaa0ccbccd40ad1a210cba1462140349b9c18d) (unbounded_continuous_distributions.html)
-**double_exponential_lcdf**: +**double_exponential_lcdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-a77ae5c4ace742352452353b5faa44105bc79f55) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-a77ae5c4ace742352452353b5faa44105bc79f55) (unbounded_continuous_distributions.html)
-**double_exponential_lpdf**: +**double_exponential_lpdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f0eddd37cb58304271349b38fc0dc4de2aeb94f4) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f0eddd37cb58304271349b38fc0dc4de2aeb94f4) (unbounded_continuous_distributions.html)
-**double_exponential_lupdf**: +**double_exponential_lupdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-32427ca40b710f689e9f6f5f77ca5f91afc0ae09) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-32427ca40b710f689e9f6f5f77ca5f91afc0ae09) (unbounded_continuous_distributions.html)
-**double_exponential_rng**: +**double_exponential_rng**: - - [`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-5489a23aaef4c1953d0e22e808a68a6fc37ab1d8) + -
[`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-5489a23aaef4c1953d0e22e808a68a6fc37ab1d8) (unbounded_continuous_distributions.html)
## E -**e**: +**e**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-c9e1664eab4cc021df10c6902738cce047b7d8f8) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-c9e1664eab4cc021df10c6902738cce047b7d8f8) (real-valued_basic_functions.html)
-**eigendecompose**: +**eigendecompose**: - - [`(complex_matrix A) : tuple(complex_matrix, complex_vector)`](complex_matrix_operations.qmd#index-entry-cfb26916a57582e2e9ee4f68ed99c821756d3789) - - [`(matrix A) : tuple(complex_matrix, complex_vector)`](matrix_operations.qmd#index-entry-080c58f8bf67678c670ce7454674192000c074d1) + -
[`(complex_matrix A) : tuple(complex_matrix, complex_vector)`](complex_matrix_operations.qmd#index-entry-cfb26916a57582e2e9ee4f68ed99c821756d3789) (complex_matrix_operations.html)
+ -
[`(matrix A) : tuple(complex_matrix, complex_vector)`](matrix_operations.qmd#index-entry-080c58f8bf67678c670ce7454674192000c074d1) (matrix_operations.html)
-**eigendecompose_sym**: +**eigendecompose_sym**: - - [`(complex_matrix A) : tuple(complex_matrix, complex_vector)`](complex_matrix_operations.qmd#index-entry-2e32adea8a000a491b0d0d5e736075c377a776b6) - - [`(matrix A) : tuple(matrix, vector)`](matrix_operations.qmd#index-entry-7bd20778cc4eb845435d980b2323a26d021c94a0) + -
[`(complex_matrix A) : tuple(complex_matrix, complex_vector)`](complex_matrix_operations.qmd#index-entry-2e32adea8a000a491b0d0d5e736075c377a776b6) (complex_matrix_operations.html)
+ -
[`(matrix A) : tuple(matrix, vector)`](matrix_operations.qmd#index-entry-7bd20778cc4eb845435d980b2323a26d021c94a0) (matrix_operations.html)
-**eigenvalues**: +**eigenvalues**: - - [`(complex_matrix A) : complex_vector`](complex_matrix_operations.qmd#index-entry-a3edb93c2a79b350e0e1ca880e3ada6deb6a30de) - - [`(matrix A) : complex_vector`](matrix_operations.qmd#index-entry-db72fae33eaa940967d1488e046f1d41ad7bd7b7) + -
[`(complex_matrix A) : complex_vector`](complex_matrix_operations.qmd#index-entry-a3edb93c2a79b350e0e1ca880e3ada6deb6a30de) (complex_matrix_operations.html)
+ -
[`(matrix A) : complex_vector`](matrix_operations.qmd#index-entry-db72fae33eaa940967d1488e046f1d41ad7bd7b7) (matrix_operations.html)
-**eigenvalues_sym**: +**eigenvalues_sym**: - - [`(complex_matrix A) : complex_vector`](complex_matrix_operations.qmd#index-entry-e271860ae502125255d5f4092244d884f2ce9692) - - [`(matrix A) : vector`](matrix_operations.qmd#index-entry-09bb39cb077a959df51666f18ac7319ea53f8748) + -
[`(complex_matrix A) : complex_vector`](complex_matrix_operations.qmd#index-entry-e271860ae502125255d5f4092244d884f2ce9692) (complex_matrix_operations.html)
+ -
[`(matrix A) : vector`](matrix_operations.qmd#index-entry-09bb39cb077a959df51666f18ac7319ea53f8748) (matrix_operations.html)
-**eigenvectors**: +**eigenvectors**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-bc7b059733d8c7e8becdef5196cfe34a63233de0) - - [`(matrix A) : complex_matrix`](matrix_operations.qmd#index-entry-6c608598725ec7c838453abdeb440c875eafe1a5) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-bc7b059733d8c7e8becdef5196cfe34a63233de0) (complex_matrix_operations.html)
+ -
[`(matrix A) : complex_matrix`](matrix_operations.qmd#index-entry-6c608598725ec7c838453abdeb440c875eafe1a5) (matrix_operations.html)
-**eigenvectors_sym**: +**eigenvectors_sym**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-67a04481d07493cc21dae09ba3cfde2b4e974951) - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-fb1919fccf8d3e19664c486e0cb67c876593f5a1) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-67a04481d07493cc21dae09ba3cfde2b4e974951) (complex_matrix_operations.html)
+ -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-fb1919fccf8d3e19664c486e0cb67c876593f5a1) (matrix_operations.html)
-**erf**: +**erf**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-3ed55c0864c7839ec52fa38be9974f0e43bd5a50) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-3ed55c0864c7839ec52fa38be9974f0e43bd5a50) (real-valued_basic_functions.html)
-**erfc**: +**erfc**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7dc68f18ec6e0c591f011d5ff8f4075637b9dd5c) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7dc68f18ec6e0c591f011d5ff8f4075637b9dd5c) (real-valued_basic_functions.html)
-**exp**: +**exp**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-3c31357925206d6237b540fd4e33930d37dccb79) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f32e064beb0f00e975210d246d3f80431ea9b85f) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-3c31357925206d6237b540fd4e33930d37dccb79) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f32e064beb0f00e975210d246d3f80431ea9b85f) (real-valued_basic_functions.html)
-**exp2**: +**exp2**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7db9b662f6846f90e9edf891fac2a64701c213d2) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7db9b662f6846f90e9edf891fac2a64701c213d2) (real-valued_basic_functions.html)
-**exp_mod_normal**: +**exp_mod_normal**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-b426ea4ba5c486f0dee2d11bcd8f019e1914e368) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-b426ea4ba5c486f0dee2d11bcd8f019e1914e368) (unbounded_continuous_distributions.html)
-**exp_mod_normal_cdf**: +**exp_mod_normal_cdf**: - - [`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-e60633c944fc492d9aabe37e92180634dc3beb1f) + -
[`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-e60633c944fc492d9aabe37e92180634dc3beb1f) (unbounded_continuous_distributions.html)
-**exp_mod_normal_lccdf**: +**exp_mod_normal_lccdf**: - - [`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-ee7f0016f4ebc38e3cf0d9590e2a47ae35d6d131) + -
[`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-ee7f0016f4ebc38e3cf0d9590e2a47ae35d6d131) (unbounded_continuous_distributions.html)
-**exp_mod_normal_lcdf**: +**exp_mod_normal_lcdf**: - - [`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-06dbb9069af1f1382e22ed5f13335630182ae084) + -
[`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-06dbb9069af1f1382e22ed5f13335630182ae084) (unbounded_continuous_distributions.html)
-**exp_mod_normal_lpdf**: +**exp_mod_normal_lpdf**: - - [`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-bb7d02b1917d231421d8c9d936fb60acd1dee69c) + -
[`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-bb7d02b1917d231421d8c9d936fb60acd1dee69c) (unbounded_continuous_distributions.html)
-**exp_mod_normal_lupdf**: +**exp_mod_normal_lupdf**: - - [`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-8933df6537efc956060be8137a18b3593c5c4833) + -
[`(reals y | reals mu, reals sigma, reals lambda) : real`](unbounded_continuous_distributions.qmd#index-entry-8933df6537efc956060be8137a18b3593c5c4833) (unbounded_continuous_distributions.html)
-**exp_mod_normal_rng**: +**exp_mod_normal_rng**: - - [`(reals mu, reals sigma, reals lambda) : R`](unbounded_continuous_distributions.qmd#index-entry-673b303c582c3796fa693d9eee79c861cc6e4b3f) + -
[`(reals mu, reals sigma, reals lambda) : R`](unbounded_continuous_distributions.qmd#index-entry-673b303c582c3796fa693d9eee79c861cc6e4b3f) (unbounded_continuous_distributions.html)
-**expm1**: +**expm1**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-159b5bb9f4c8cbaad0c033c64d1cd44196240c8d) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-159b5bb9f4c8cbaad0c033c64d1cd44196240c8d) (real-valued_basic_functions.html)
-**exponential**: +**exponential**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-659974bc00c9d41d7a429ae37133a99bb8b957a4) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-659974bc00c9d41d7a429ae37133a99bb8b957a4) (positive_continuous_distributions.html)
-**exponential_cdf**: +**exponential_cdf**: - - [`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-ad4cd5c7ba3c05b884083c95b23a472cffbc1a00) + -
[`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-ad4cd5c7ba3c05b884083c95b23a472cffbc1a00) (positive_continuous_distributions.html)
-**exponential_lccdf**: +**exponential_lccdf**: - - [`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7c9705bfaff832ebfe92cc4dcc784a77c1e1bd16) + -
[`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7c9705bfaff832ebfe92cc4dcc784a77c1e1bd16) (positive_continuous_distributions.html)
-**exponential_lcdf**: +**exponential_lcdf**: - - [`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-0677eab24885c7279772fbf058f8cb58eb12d88a) + -
[`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-0677eab24885c7279772fbf058f8cb58eb12d88a) (positive_continuous_distributions.html)
-**exponential_lpdf**: +**exponential_lpdf**: - - [`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-5338844e89484284ae797d5d7f2b46148d8e8d2c) + -
[`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-5338844e89484284ae797d5d7f2b46148d8e8d2c) (positive_continuous_distributions.html)
-**exponential_lupdf**: +**exponential_lupdf**: - - [`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-fdea6af1db60962c86c57847a99b985330592f02) + -
[`(reals y | reals beta) : real`](positive_continuous_distributions.qmd#index-entry-fdea6af1db60962c86c57847a99b985330592f02) (positive_continuous_distributions.html)
-**exponential_rng**: +**exponential_rng**: - - [`(reals beta) : R`](positive_continuous_distributions.qmd#index-entry-2fefb0b09b4b70f993267af296d92862bc9c900d) + -
[`(reals beta) : R`](positive_continuous_distributions.qmd#index-entry-2fefb0b09b4b70f993267af296d92862bc9c900d) (positive_continuous_distributions.html)
## F -**falling_factorial**: +**falling_factorial**: - - [`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-501ae7bd47545a3ffa57a4c67cc0ffb27c69f93a) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-d534a0845142902e1168c6b016843f301f8826d6) + -
[`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-501ae7bd47545a3ffa57a4c67cc0ffb27c69f93a) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-d534a0845142902e1168c6b016843f301f8826d6) (real-valued_basic_functions.html)
-**fatal_error**: +**fatal_error**: - - [`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-36f600d7cd1daea1b94b57949bed5e7914fd9442) + -
[`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-36f600d7cd1daea1b94b57949bed5e7914fd9442) (void_functions.html)
-**fdim**: +**fdim**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-8e4c91cd9725a9e73f23c330bf345dbc813f4a44) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-e5223bd7c30433273feb0a16c3c3950552c1ebce) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-8e4c91cd9725a9e73f23c330bf345dbc813f4a44) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-e5223bd7c30433273feb0a16c3c3950552c1ebce) (real-valued_basic_functions.html)
-**fft**: +**fft**: - - [`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-109377c74fb51b412a7ba92432ed83655dc5cca8) + -
[`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-109377c74fb51b412a7ba92432ed83655dc5cca8) (complex_matrix_operations.html)
-**fft2**: +**fft2**: - - [`(complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-37fccc5b3423b32e66112f0b9f406c043fa4d0e2) + -
[`(complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-37fccc5b3423b32e66112f0b9f406c043fa4d0e2) (complex_matrix_operations.html)
-**floor**: +**floor**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f4309f63f497c18607ceca16a255a6c8c3722153) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f4309f63f497c18607ceca16a255a6c8c3722153) (real-valued_basic_functions.html)
-**fma**: +**fma**: - - [`(real x, real y, real z) : real`](real-valued_basic_functions.qmd#index-entry-086b6805da630957962521a7c4c5eb1c108313a2) + -
[`(real x, real y, real z) : real`](real-valued_basic_functions.qmd#index-entry-086b6805da630957962521a7c4c5eb1c108313a2) (real-valued_basic_functions.html)
-**fmax**: +**fmax**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-84f91b685bc8ac919063009145d0bda6df79898e) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-9619ac6ed9fc6345c116fdaa93c6eb7f4fd18d6c) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-84f91b685bc8ac919063009145d0bda6df79898e) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-9619ac6ed9fc6345c116fdaa93c6eb7f4fd18d6c) (real-valued_basic_functions.html)
-**fmin**: +**fmin**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-1c3fab0d71dfe4827399431840361247caf51f6c) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-745a8f98349953b6346521de02a0f66c0e837597) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-1c3fab0d71dfe4827399431840361247caf51f6c) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-745a8f98349953b6346521de02a0f66c0e837597) (real-valued_basic_functions.html)
-**fmod**: +**fmod**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-fed64eefc7fd2673daac1482490fb6dfc5e37647) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-206cb5e9da51b6d1255b47d019273ab50a84687c) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-fed64eefc7fd2673daac1482490fb6dfc5e37647) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-206cb5e9da51b6d1255b47d019273ab50a84687c) (real-valued_basic_functions.html)
-**frechet**: +**frechet**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-033a6fd0ca894c93b58f6808ff8fe3a63d1bb978) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-033a6fd0ca894c93b58f6808ff8fe3a63d1bb978) (positive_continuous_distributions.html)
-**frechet_cdf**: +**frechet_cdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-7b1c306049c2aeb7399a3d6df5ea3c13265def52) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-7b1c306049c2aeb7399a3d6df5ea3c13265def52) (positive_continuous_distributions.html)
-**frechet_lccdf**: +**frechet_lccdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-81c59a2210fa846a77bc5ceeb512c5ab2403c36d) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-81c59a2210fa846a77bc5ceeb512c5ab2403c36d) (positive_continuous_distributions.html)
-**frechet_lcdf**: +**frechet_lcdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-2e6b14eab76b40cbf5f51add826d06a805ae9757) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-2e6b14eab76b40cbf5f51add826d06a805ae9757) (positive_continuous_distributions.html)
-**frechet_lpdf**: +**frechet_lpdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-5b4868d7aafac4f3559c062d04dca87352e5dc4e) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-5b4868d7aafac4f3559c062d04dca87352e5dc4e) (positive_continuous_distributions.html)
-**frechet_lupdf**: +**frechet_lupdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-99b375230fb5a80dcd8e6c9889b9da0b20cb1901) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-99b375230fb5a80dcd8e6c9889b9da0b20cb1901) (positive_continuous_distributions.html)
-**frechet_rng**: +**frechet_rng**: - - [`(reals alpha, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-d8574e1b5b0094a19eaec6f9bbc2b458ee6c80d2) + -
[`(reals alpha, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-d8574e1b5b0094a19eaec6f9bbc2b458ee6c80d2) (positive_continuous_distributions.html)
## G -**gamma**: +**gamma**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-91a7d59d68ed36bf3b8d400643b7211047f9c616) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-91a7d59d68ed36bf3b8d400643b7211047f9c616) (positive_continuous_distributions.html)
-**gamma_cdf**: +**gamma_cdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-f4d7f090f9393c8fcb25cb5a0a93e6fbfeebbcc3) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-f4d7f090f9393c8fcb25cb5a0a93e6fbfeebbcc3) (positive_continuous_distributions.html)
-**gamma_lccdf**: +**gamma_lccdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7529e81d26b2ce290a96efca419a000b84883388) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7529e81d26b2ce290a96efca419a000b84883388) (positive_continuous_distributions.html)
-**gamma_lcdf**: +**gamma_lcdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-6a62c558a39dc345eeafa81df49ccbb5e63cff39) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-6a62c558a39dc345eeafa81df49ccbb5e63cff39) (positive_continuous_distributions.html)
-**gamma_lpdf**: +**gamma_lpdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-76500ac07efdc8ff316f8c5d83738088c623861d) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-76500ac07efdc8ff316f8c5d83738088c623861d) (positive_continuous_distributions.html)
-**gamma_lupdf**: +**gamma_lupdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-4631a12c69e80e1a603f5e8455debc9086e93879) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-4631a12c69e80e1a603f5e8455debc9086e93879) (positive_continuous_distributions.html)
-**gamma_p**: +**gamma_p**: - - [`(real a, real z) : real`](real-valued_basic_functions.qmd#index-entry-6a3cb9f6d55852cff80a67883177778548b712d0) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-07d2b4d046ed3e94ab2394782dbfb848ce338126) + -
[`(real a, real z) : real`](real-valued_basic_functions.qmd#index-entry-6a3cb9f6d55852cff80a67883177778548b712d0) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-07d2b4d046ed3e94ab2394782dbfb848ce338126) (real-valued_basic_functions.html)
-**gamma_q**: +**gamma_q**: - - [`(real a, real z) : real`](real-valued_basic_functions.qmd#index-entry-5cd1f2570dd2f81dc1a8e6f344ba953142a29865) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-4949830b870b509235b2289a32a4e00f6e52e309) + -
[`(real a, real z) : real`](real-valued_basic_functions.qmd#index-entry-5cd1f2570dd2f81dc1a8e6f344ba953142a29865) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-4949830b870b509235b2289a32a4e00f6e52e309) (real-valued_basic_functions.html)
-**gamma_rng**: +**gamma_rng**: - - [`(reals alpha, reals beta) : R`](positive_continuous_distributions.qmd#index-entry-f7478aca325aa138c901aac6630912e23ca8a779) + -
[`(reals alpha, reals beta) : R`](positive_continuous_distributions.qmd#index-entry-f7478aca325aa138c901aac6630912e23ca8a779) (positive_continuous_distributions.html)
-**gaussian_dlm_obs**: +**gaussian_dlm_obs**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-4fd242bf2dcd5be49146d526d8fbe39878489a73) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-4fd242bf2dcd5be49146d526d8fbe39878489a73) (distributions_over_unbounded_vectors.html)
-**gaussian_dlm_obs_lpdf**: +**gaussian_dlm_obs_lpdf**: - - [`(matrix y | matrix F, matrix G, matrix V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-18a51c9f7a0d2635dc8adf29e702d2a918af65ed) - - [`(matrix y | matrix F, matrix G, vector V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-8cca79a125123f82ff2e6982bc58099c4b4f2db4) + -
[`(matrix y | matrix F, matrix G, matrix V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-18a51c9f7a0d2635dc8adf29e702d2a918af65ed) (distributions_over_unbounded_vectors.html)
+ -
[`(matrix y | matrix F, matrix G, vector V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-8cca79a125123f82ff2e6982bc58099c4b4f2db4) (distributions_over_unbounded_vectors.html)
-**gaussian_dlm_obs_lupdf**: +**gaussian_dlm_obs_lupdf**: - - [`(matrix y | matrix F, matrix G, matrix V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-c55d98e7e02d60b3177dcb12f3f8a4d71d7b7770) - - [`(matrix y | matrix F, matrix G, vector V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-14842eb0078230e2e500d5478fb688e1fd8c7fd3) + -
[`(matrix y | matrix F, matrix G, matrix V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-c55d98e7e02d60b3177dcb12f3f8a4d71d7b7770) (distributions_over_unbounded_vectors.html)
+ -
[`(matrix y | matrix F, matrix G, vector V, matrix W, vector m0, matrix C0) : real`](distributions_over_unbounded_vectors.qmd#index-entry-14842eb0078230e2e500d5478fb688e1fd8c7fd3) (distributions_over_unbounded_vectors.html)
-**generalized_inverse**: +**generalized_inverse**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-49a205d1f503afa341f4ec2f12b8d9484c5bc3f0) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-49a205d1f503afa341f4ec2f12b8d9484c5bc3f0) (matrix_operations.html)
-**get_imag**: +**get_imag**: - - [`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-15202c172bf8397f0f3a6ecd5c16fe489df20273) - - [`(T x) : T`](complex_matrix_operations.qmd#index-entry-48dc2caf35c9102abf142e71d6755de12af13e0c) + -
[`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-15202c172bf8397f0f3a6ecd5c16fe489df20273) (complex-valued_basic_functions.html)
+ -
[`(T x) : T`](complex_matrix_operations.qmd#index-entry-48dc2caf35c9102abf142e71d6755de12af13e0c) (complex_matrix_operations.html)
-**get_real**: +**get_real**: - - [`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-3c18c19d9aa231a8f1a921c7f6c289ef225ae34f) - - [`(T x) : T`](complex_matrix_operations.qmd#index-entry-2562277862b92c4536cb33d80bfed98e8a586d81) + -
[`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-3c18c19d9aa231a8f1a921c7f6c289ef225ae34f) (complex-valued_basic_functions.html)
+ -
[`(T x) : T`](complex_matrix_operations.qmd#index-entry-2562277862b92c4536cb33d80bfed98e8a586d81) (complex_matrix_operations.html)
-**gumbel**: +**gumbel**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-846f4cd18ce2c11c64adc5430feb805c8548af12) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-846f4cd18ce2c11c64adc5430feb805c8548af12) (unbounded_continuous_distributions.html)
-**gumbel_cdf**: +**gumbel_cdf**: - - [`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-d75196df1f351627464af18ef549a68bbb63bf5e) + -
[`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-d75196df1f351627464af18ef549a68bbb63bf5e) (unbounded_continuous_distributions.html)
-**gumbel_lccdf**: +**gumbel_lccdf**: - - [`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-c56b96f1fa2edfa9edfa06313030df780f89753c) + -
[`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-c56b96f1fa2edfa9edfa06313030df780f89753c) (unbounded_continuous_distributions.html)
-**gumbel_lcdf**: +**gumbel_lcdf**: - - [`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-4cc1f4c7bfa6eedc97fbb6074ec3965cff5be24f) + -
[`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-4cc1f4c7bfa6eedc97fbb6074ec3965cff5be24f) (unbounded_continuous_distributions.html)
-**gumbel_lpdf**: +**gumbel_lpdf**: - - [`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-93b41c8b64bc3c223c99733bf33da8c3ec9ac492) + -
[`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-93b41c8b64bc3c223c99733bf33da8c3ec9ac492) (unbounded_continuous_distributions.html)
-**gumbel_lupdf**: +**gumbel_lupdf**: - - [`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-b9841ea9c5279d1940a06429efc4126c8f1735d9) + -
[`(reals y | reals mu, reals beta) : real`](unbounded_continuous_distributions.qmd#index-entry-b9841ea9c5279d1940a06429efc4126c8f1735d9) (unbounded_continuous_distributions.html)
-**gumbel_rng**: +**gumbel_rng**: - - [`(reals mu, reals beta) : R`](unbounded_continuous_distributions.qmd#index-entry-f0072bf29736a2f234a30ab11de070e3194bd4e3) + -
[`(reals mu, reals beta) : R`](unbounded_continuous_distributions.qmd#index-entry-f0072bf29736a2f234a30ab11de070e3194bd4e3) (unbounded_continuous_distributions.html)
## H -**head**: +**head**: - - [`(array[] T sv, int n) : array[] T`](matrix_operations.qmd#index-entry-57085692c2de5cb3a0be6af59e4d4db1087270b9) - - [`(complex_row_vector rv, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-9b30a21ff61d6bb263aeae6fe0f8eeaad19b6091) - - [`(complex_vector v, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-98d4004db4f7912b486209fbaa83ee186a0b4a0f) - - [`(row_vector rv, int n) : row_vector`](matrix_operations.qmd#index-entry-3107ded9497fc42a02b0573d3453f8cfb6302a41) - - [`(vector v, int n) : vector`](matrix_operations.qmd#index-entry-8422dde5d63a6c756136d01ceeae0de6de1b00cb) + -
[`(array[] T sv, int n) : array[] T`](matrix_operations.qmd#index-entry-57085692c2de5cb3a0be6af59e4d4db1087270b9) (matrix_operations.html)
+ -
[`(complex_row_vector rv, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-9b30a21ff61d6bb263aeae6fe0f8eeaad19b6091) (complex_matrix_operations.html)
+ -
[`(complex_vector v, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-98d4004db4f7912b486209fbaa83ee186a0b4a0f) (complex_matrix_operations.html)
+ -
[`(row_vector rv, int n) : row_vector`](matrix_operations.qmd#index-entry-3107ded9497fc42a02b0573d3453f8cfb6302a41) (matrix_operations.html)
+ -
[`(vector v, int n) : vector`](matrix_operations.qmd#index-entry-8422dde5d63a6c756136d01ceeae0de6de1b00cb) (matrix_operations.html)
-**hmm_hidden_state_prob**: +**hmm_hidden_state_prob**: - - [`(matrix log_omega, matrix Gamma, vector rho) : matrix`](hidden_markov_models.qmd#index-entry-2ff49049acfb95386aefa57a16ea987ee4b7b68e) + -
[`(matrix log_omega, matrix Gamma, vector rho) : matrix`](hidden_markov_models.qmd#index-entry-2ff49049acfb95386aefa57a16ea987ee4b7b68e) (hidden_markov_models.html)
-**hmm_latent_rng**: +**hmm_latent_rng**: - - [`(matrix log_omega, matrix Gamma, vector rho) : array[] int`](hidden_markov_models.qmd#index-entry-48084fc56672a13c812780b444bee6bc9b630cc2) + -
[`(matrix log_omega, matrix Gamma, vector rho) : array[] int`](hidden_markov_models.qmd#index-entry-48084fc56672a13c812780b444bee6bc9b630cc2) (hidden_markov_models.html)
-**hmm_marginal**: +**hmm_marginal**: - - [`(matrix log_omega, matrix Gamma, vector rho) : real`](hidden_markov_models.qmd#index-entry-6569db76a2047e7ba00db34ba2b0b2e000bd4eaa) + -
[`(matrix log_omega, matrix Gamma, vector rho) : real`](hidden_markov_models.qmd#index-entry-6569db76a2047e7ba00db34ba2b0b2e000bd4eaa) (hidden_markov_models.html)
-**hypergeometric**: +**hypergeometric**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-2fc02e8425e812e91f8ef47c9f53bd538c248cbd) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-2fc02e8425e812e91f8ef47c9f53bd538c248cbd) (bounded_discrete_distributions.html)
-**hypergeometric_lpmf**: +**hypergeometric_lpmf**: - - [`(int n | int N, int a, int b) : real`](bounded_discrete_distributions.qmd#index-entry-74678ac15a9ad9dc38759c7f81421cd6abe7f8e8) + -
[`(int n | int N, int a, int b) : real`](bounded_discrete_distributions.qmd#index-entry-74678ac15a9ad9dc38759c7f81421cd6abe7f8e8) (bounded_discrete_distributions.html)
-**hypergeometric_lupmf**: +**hypergeometric_lupmf**: - - [`(int n | int N, int a, int b) : real`](bounded_discrete_distributions.qmd#index-entry-bd50c4360d03f67c2f750c84c2b4b7f53ade58e9) + -
[`(int n | int N, int a, int b) : real`](bounded_discrete_distributions.qmd#index-entry-bd50c4360d03f67c2f750c84c2b4b7f53ade58e9) (bounded_discrete_distributions.html)
-**hypergeometric_rng**: +**hypergeometric_rng**: - - [`(int N, int a, int2 b) : int`](bounded_discrete_distributions.qmd#index-entry-b7d868252dbebe75b731f601d6af7252a228c9bb) + -
[`(int N, int a, int2 b) : int`](bounded_discrete_distributions.qmd#index-entry-b7d868252dbebe75b731f601d6af7252a228c9bb) (bounded_discrete_distributions.html)
-**hypot**: +**hypot**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-91e267ebdf31823d577cac8796d2fc05ffc4123b) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-d55f4ca2bc092698d4e852dae4516f76ef5e8738) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-91e267ebdf31823d577cac8796d2fc05ffc4123b) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-d55f4ca2bc092698d4e852dae4516f76ef5e8738) (real-valued_basic_functions.html)
## I -**identity_matrix**: +**identity_matrix**: - - [`(int k) : matrix`](matrix_operations.qmd#index-entry-7751d8abe876b03fe020df0799dd498b2be022a8) + -
[`(int k) : matrix`](matrix_operations.qmd#index-entry-7751d8abe876b03fe020df0799dd498b2be022a8) (matrix_operations.html)
-**inc_beta**: +**inc_beta**: - - [`(real alpha, real beta, real x) : real`](real-valued_basic_functions.qmd#index-entry-8af921f70494e8dac40b7e567b55041a92982782) + -
[`(real alpha, real beta, real x) : real`](real-valued_basic_functions.qmd#index-entry-8af921f70494e8dac40b7e567b55041a92982782) (real-valued_basic_functions.html)
-**int_step**: +**int_step**: - - [`(int x) : int`](integer-valued_basic_functions.qmd#index-entry-317ccd335f85a10d3c7902b15dd6af1f6ef5d16c) - - [`(real x) : int`](integer-valued_basic_functions.qmd#index-entry-ee3b76044455776615f3a8a6106dccb8ad9a235d) + -
[`(int x) : int`](integer-valued_basic_functions.qmd#index-entry-317ccd335f85a10d3c7902b15dd6af1f6ef5d16c) (integer-valued_basic_functions.html)
+ -
[`(real x) : int`](integer-valued_basic_functions.qmd#index-entry-ee3b76044455776615f3a8a6106dccb8ad9a235d) (integer-valued_basic_functions.html)
-**integrate_1d**: +**integrate_1d**: - - [`(function integrand, real a, real b, array[] real theta, array[] real x_r, array[] int x_i) : real`](higher-order_functions.qmd#index-entry-39f0cbb60146855f8f98ba56502efcbfd04df2aa) - - [`(function integrand, real a, real b, array[] real theta, array[] real x_r, array[] int x_i), real relative_tolerance) : real`](higher-order_functions.qmd#index-entry-029333bb86d68fe853789eea2568f760cec8eff3) + -
[`(function integrand, real a, real b, array[] real theta, array[] real x_r, array[] int x_i) : real`](higher-order_functions.qmd#index-entry-39f0cbb60146855f8f98ba56502efcbfd04df2aa) (higher-order_functions.html)
+ -
[`(function integrand, real a, real b, array[] real theta, array[] real x_r, array[] int x_i), real relative_tolerance) : real`](higher-order_functions.qmd#index-entry-029333bb86d68fe853789eea2568f760cec8eff3) (higher-order_functions.html)
-**integrate_ode**: +**integrate_ode**: - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-f2263dbf460fa8a8e16c36bec1723e7cb60e8ff7) + -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-f2263dbf460fa8a8e16c36bec1723e7cb60e8ff7) (deprecated_functions.html)
-**integrate_ode_adams**: +**integrate_ode_adams**: - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-0243ee75a588fbb73c6e50121f71844a6cbfb6e6) - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-f382cd6903765b51897e2aa1b1eaa55cf63fd4d6) + -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-0243ee75a588fbb73c6e50121f71844a6cbfb6e6) (deprecated_functions.html)
+ -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-f382cd6903765b51897e2aa1b1eaa55cf63fd4d6) (deprecated_functions.html)
-**integrate_ode_bdf**: +**integrate_ode_bdf**: - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-0cb2d79940f9e180689b48555a1a25401db9b41a) - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-3766842394a3f0b7eb3333fb202227f261c1f535) + -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-0cb2d79940f9e180689b48555a1a25401db9b41a) (deprecated_functions.html)
+ -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-3766842394a3f0b7eb3333fb202227f261c1f535) (deprecated_functions.html)
-**integrate_ode_rk45**: +**integrate_ode_rk45**: - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-fddefd52462ff3a8c14cca8da72bb5ef1596fbe0) - - [`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-ed3282ca9353c591d894371c5da7f6c427ec52ff) + -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i) : array[,] real`](deprecated_functions.qmd#index-entry-fddefd52462ff3a8c14cca8da72bb5ef1596fbe0) (deprecated_functions.html)
+ -
[`(function ode, array[] real initial_state, real initial_time, array[] real times, array[] real theta, array[] real x_r, array[] int x_i, real rel_tol, real abs_tol, int max_num_steps) : array[,] real`](deprecated_functions.qmd#index-entry-ed3282ca9353c591d894371c5da7f6c427ec52ff) (deprecated_functions.html)
-**inv**: +**inv**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7e3cb8bb5e02b0568495e3495ab81c8ab671dd96) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-7e3cb8bb5e02b0568495e3495ab81c8ab671dd96) (real-valued_basic_functions.html)
-**inv_chi_square**: +**inv_chi_square**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-2c55516e33a8c93de05a426a4331b0fd2c73665c) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-2c55516e33a8c93de05a426a4331b0fd2c73665c) (positive_continuous_distributions.html)
-**inv_chi_square_cdf**: +**inv_chi_square_cdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a5b53196a941f74078d28a76d43875006ecaa749) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a5b53196a941f74078d28a76d43875006ecaa749) (positive_continuous_distributions.html)
-**inv_chi_square_lccdf**: +**inv_chi_square_lccdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-5fb795e9994cfaedf511409172a6457e8df06bff) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-5fb795e9994cfaedf511409172a6457e8df06bff) (positive_continuous_distributions.html)
-**inv_chi_square_lcdf**: +**inv_chi_square_lcdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-19a25046f012bc203f47cddbd716160311344693) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-19a25046f012bc203f47cddbd716160311344693) (positive_continuous_distributions.html)
-**inv_chi_square_lpdf**: +**inv_chi_square_lpdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-c49192fa8c8d7405bca27fccb88443c3a31b82f9) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-c49192fa8c8d7405bca27fccb88443c3a31b82f9) (positive_continuous_distributions.html)
-**inv_chi_square_lupdf**: +**inv_chi_square_lupdf**: - - [`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a5086fcc0bf03bde2c07057468cd23a2936131b7) + -
[`(reals y | reals nu) : real`](positive_continuous_distributions.qmd#index-entry-a5086fcc0bf03bde2c07057468cd23a2936131b7) (positive_continuous_distributions.html)
-**inv_chi_square_rng**: +**inv_chi_square_rng**: - - [`(reals nu) : R`](positive_continuous_distributions.qmd#index-entry-b2c4491a4b62bfff6789788b555b1de2f50ad833) + -
[`(reals nu) : R`](positive_continuous_distributions.qmd#index-entry-b2c4491a4b62bfff6789788b555b1de2f50ad833) (positive_continuous_distributions.html)
-**inv_cloglog**: +**inv_cloglog**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-40b628501a54a1c1fc2eed89973daabf330a9c2c) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-40b628501a54a1c1fc2eed89973daabf330a9c2c) (real-valued_basic_functions.html)
-**inv_erfc**: +**inv_erfc**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-436991c650707e4567f4627cf8c7216e20bd1d68) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-436991c650707e4567f4627cf8c7216e20bd1d68) (real-valued_basic_functions.html)
-**inv_fft**: +**inv_fft**: - - [`(complex_vector u) : complex_vector`](complex_matrix_operations.qmd#index-entry-27a0956f66e4b8b0fc804abec9e5245baa2706aa) + -
[`(complex_vector u) : complex_vector`](complex_matrix_operations.qmd#index-entry-27a0956f66e4b8b0fc804abec9e5245baa2706aa) (complex_matrix_operations.html)
-**inv_fft2**: +**inv_fft2**: - - [`(complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-81586d35e7a520465df734fc44af4a3ad069f695) + -
[`(complex_matrix m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-81586d35e7a520465df734fc44af4a3ad069f695) (complex_matrix_operations.html)
-**inv_gamma**: +**inv_gamma**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-0a75a7a89dfd9fb418dfcd098f5f987d27c95da2) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-0a75a7a89dfd9fb418dfcd098f5f987d27c95da2) (positive_continuous_distributions.html)
-**inv_gamma_cdf**: +**inv_gamma_cdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-8b7859ab9bdd43c5cb4a55298dbada0eb100e006) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-8b7859ab9bdd43c5cb4a55298dbada0eb100e006) (positive_continuous_distributions.html)
-**inv_gamma_lccdf**: +**inv_gamma_lccdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-779e4be4cd1ce9f8858d662138e8af3a0a221e5e) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-779e4be4cd1ce9f8858d662138e8af3a0a221e5e) (positive_continuous_distributions.html)
-**inv_gamma_lcdf**: +**inv_gamma_lcdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-24ddd0a34b2809b8f5afa3c540f1223c8cf683f8) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-24ddd0a34b2809b8f5afa3c540f1223c8cf683f8) (positive_continuous_distributions.html)
-**inv_gamma_lpdf**: +**inv_gamma_lpdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7c937cfca51ac916d72ff10b1184a8d6d39ee650) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-7c937cfca51ac916d72ff10b1184a8d6d39ee650) (positive_continuous_distributions.html)
-**inv_gamma_lupdf**: +**inv_gamma_lupdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-c799b2a02063b44bf348b1e09d1a2bdbb8fefbd5) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-c799b2a02063b44bf348b1e09d1a2bdbb8fefbd5) (positive_continuous_distributions.html)
-**inv_gamma_rng**: +**inv_gamma_rng**: - - [`(reals alpha, reals beta) : R`](positive_continuous_distributions.qmd#index-entry-460487d2c9969e63b7c9f8ff329c0295b8807239) + -
[`(reals alpha, reals beta) : R`](positive_continuous_distributions.qmd#index-entry-460487d2c9969e63b7c9f8ff329c0295b8807239) (positive_continuous_distributions.html)
-**inv_inc_beta**: +**inv_inc_beta**: - - [`(real alpha, real beta, real p) : real`](real-valued_basic_functions.qmd#index-entry-75728a2fe483e42a84c2fb5562469cb0fcd56250) + -
[`(real alpha, real beta, real p) : real`](real-valued_basic_functions.qmd#index-entry-75728a2fe483e42a84c2fb5562469cb0fcd56250) (real-valued_basic_functions.html)
-**inv_logit**: +**inv_logit**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-587aa4ba61e421c4ca21bad5c94b5b919e16d34d) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-587aa4ba61e421c4ca21bad5c94b5b919e16d34d) (real-valued_basic_functions.html)
-**inv_Phi**: +**inv_Phi**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f0054cc2edcc0949c41276325f6db59b8e0c4e15) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-f0054cc2edcc0949c41276325f6db59b8e0c4e15) (real-valued_basic_functions.html)
-**inv_sqrt**: +**inv_sqrt**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4dcb1d28ce2c1de0b6668a4095511ceeadb29fd0) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4dcb1d28ce2c1de0b6668a4095511ceeadb29fd0) (real-valued_basic_functions.html)
-**inv_square**: +**inv_square**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b4f13710242aa2542c07afc496e1966099678f35) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b4f13710242aa2542c07afc496e1966099678f35) (real-valued_basic_functions.html)
-**inv_wishart**: +**inv_wishart**: - - [distribution statement](covariance_matrix_distributions.qmd#index-entry-3961ee487e240f180388c9629267c086f03aceed) + -
[distribution statement](covariance_matrix_distributions.qmd#index-entry-3961ee487e240f180388c9629267c086f03aceed) (covariance_matrix_distributions.html)
-**inv_wishart_cholesky_lpdf**: +**inv_wishart_cholesky_lpdf**: - - [`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-0d09dfe80fda861a5757201ffaddddac82e00aa5) + -
[`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-0d09dfe80fda861a5757201ffaddddac82e00aa5) (covariance_matrix_distributions.html)
-**inv_wishart_cholesky_lupdf**: +**inv_wishart_cholesky_lupdf**: - - [`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-eaf70d1f046e96371485e6dd22f5b0fe44e33fdf) + -
[`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-eaf70d1f046e96371485e6dd22f5b0fe44e33fdf) (covariance_matrix_distributions.html)
-**inv_wishart_cholesky_rng**: +**inv_wishart_cholesky_rng**: - - [`(real nu, matrix L_S) : matrix`](covariance_matrix_distributions.qmd#index-entry-327529ac254bd3b80d8b9c48d711700d3ed47fa3) + -
[`(real nu, matrix L_S) : matrix`](covariance_matrix_distributions.qmd#index-entry-327529ac254bd3b80d8b9c48d711700d3ed47fa3) (covariance_matrix_distributions.html)
-**inv_wishart_lpdf**: +**inv_wishart_lpdf**: - - [`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-38e0ab3788169c92def514827eaeff93db4d3af3) + -
[`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-38e0ab3788169c92def514827eaeff93db4d3af3) (covariance_matrix_distributions.html)
-**inv_wishart_lupdf**: +**inv_wishart_lupdf**: - - [`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-2e69b51d6833e168c6a6d9646e93f6fb883609bd) + -
[`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-2e69b51d6833e168c6a6d9646e93f6fb883609bd) (covariance_matrix_distributions.html)
-**inv_wishart_rng**: +**inv_wishart_rng**: - - [`(real nu, matrix Sigma) : matrix`](covariance_matrix_distributions.qmd#index-entry-ed1a3712028dbe64ab7bebe658f72ad4d101d3cf) + -
[`(real nu, matrix Sigma) : matrix`](covariance_matrix_distributions.qmd#index-entry-ed1a3712028dbe64ab7bebe658f72ad4d101d3cf) (covariance_matrix_distributions.html)
-**inverse**: +**inverse**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-4f71689bce62cc64928a17fe2768a2a243320ff1) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-4f71689bce62cc64928a17fe2768a2a243320ff1) (matrix_operations.html)
-**inverse_spd**: +**inverse_spd**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-cf78ebfad5c78b789158eb47797d8c00862001b3) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-cf78ebfad5c78b789158eb47797d8c00862001b3) (matrix_operations.html)
-**is_inf**: +**is_inf**: - - [`(real x) : int`](real-valued_basic_functions.qmd#index-entry-7240fd89c6199124fb25731ffcdb1459029b04df) + -
[`(real x) : int`](real-valued_basic_functions.qmd#index-entry-7240fd89c6199124fb25731ffcdb1459029b04df) (real-valued_basic_functions.html)
-**is_nan**: +**is_nan**: - - [`(real x) : int`](real-valued_basic_functions.qmd#index-entry-d9e6d18b33b36e488e49f87c4efd470c39e6a5b1) + -
[`(real x) : int`](real-valued_basic_functions.qmd#index-entry-d9e6d18b33b36e488e49f87c4efd470c39e6a5b1) (real-valued_basic_functions.html)
## L -**lambert_w0**: +**lambert_w0**: - - [`(reals x) : R`](real-valued_basic_functions.qmd#index-entry-8762bfe8eb64d40ae8bf46eb733dc054da100f51) + -
[`(reals x) : R`](real-valued_basic_functions.qmd#index-entry-8762bfe8eb64d40ae8bf46eb733dc054da100f51) (real-valued_basic_functions.html)
-**lambert_wm1**: +**lambert_wm1**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-ab5ca07ba7ba53020939ca3ba7c6e64ccf05cf19) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-ab5ca07ba7ba53020939ca3ba7c6e64ccf05cf19) (real-valued_basic_functions.html)
-**lbeta**: +**lbeta**: - - [`(real alpha, real beta) : real`](real-valued_basic_functions.qmd#index-entry-def48992e0f8724381904fba78466b0f4a0d14bd) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-ffad8a6ffd89011bffb5c4e0eb7817d550b4d438) + -
[`(real alpha, real beta) : real`](real-valued_basic_functions.qmd#index-entry-def48992e0f8724381904fba78466b0f4a0d14bd) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-ffad8a6ffd89011bffb5c4e0eb7817d550b4d438) (real-valued_basic_functions.html)
-**lchoose**: +**lchoose**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-8db53df4cf96e86f2466a1a67a046f1e92e24a41) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-57668b872958a1c748381739b2639e2c592b1635) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-8db53df4cf96e86f2466a1a67a046f1e92e24a41) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-57668b872958a1c748381739b2639e2c592b1635) (real-valued_basic_functions.html)
-**ldexp**: +**ldexp**: - - [`(real x, int y) : real`](real-valued_basic_functions.qmd#index-entry-87e15a5115cbb3320b6c75601022db5ce42d567f) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-04b6e7e9f36a90c1074fe831b302e5a839cded46) + -
[`(real x, int y) : real`](real-valued_basic_functions.qmd#index-entry-87e15a5115cbb3320b6c75601022db5ce42d567f) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-04b6e7e9f36a90c1074fe831b302e5a839cded46) (real-valued_basic_functions.html)
-**lgamma**: +**lgamma**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-51737f6b8d61ebaae578b09d29899a9f72cc8dff) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-51737f6b8d61ebaae578b09d29899a9f72cc8dff) (real-valued_basic_functions.html)
-**linspaced_array**: +**linspaced_array**: - - [`(int n, data real lower, data real upper) : array[] real`](matrix_operations.qmd#index-entry-71ca78d469339eb375a0b3e4fd656056c1f4bc37) + -
[`(int n, data real lower, data real upper) : array[] real`](matrix_operations.qmd#index-entry-71ca78d469339eb375a0b3e4fd656056c1f4bc37) (matrix_operations.html)
-**linspaced_int_array**: +**linspaced_int_array**: - - [`(int n, int lower, int upper) : array[] real`](matrix_operations.qmd#index-entry-8ca31c5441d89c38eb6df32f4e84fa99f2542229) + -
[`(int n, int lower, int upper) : array[] real`](matrix_operations.qmd#index-entry-8ca31c5441d89c38eb6df32f4e84fa99f2542229) (matrix_operations.html)
-**linspaced_row_vector**: +**linspaced_row_vector**: - - [`(int n, data real lower, data real upper) : row_vector`](matrix_operations.qmd#index-entry-acc0b0d5ab9d4a99bd5c019f6b645424790aa4e9) + -
[`(int n, data real lower, data real upper) : row_vector`](matrix_operations.qmd#index-entry-acc0b0d5ab9d4a99bd5c019f6b645424790aa4e9) (matrix_operations.html)
-**linspaced_vector**: +**linspaced_vector**: - - [`(int n, data real lower, data real upper) : vector`](matrix_operations.qmd#index-entry-3f3107a87c63d9fe79a69329003d27f4b107d02e) + -
[`(int n, data real lower, data real upper) : vector`](matrix_operations.qmd#index-entry-3f3107a87c63d9fe79a69329003d27f4b107d02e) (matrix_operations.html)
-**lkj_corr**: +**lkj_corr**: - - [distribution statement](correlation_matrix_distributions.qmd#index-entry-beb0c10c5b7b26c3295ff6f47561e58ffc211a45) + -
[distribution statement](correlation_matrix_distributions.qmd#index-entry-beb0c10c5b7b26c3295ff6f47561e58ffc211a45) (correlation_matrix_distributions.html)
-**lkj_corr_cholesky**: +**lkj_corr_cholesky**: - - [distribution statement](correlation_matrix_distributions.qmd#index-entry-d3519d9e1f129c4f006c23bcd5995f869bcfb56d) + -
[distribution statement](correlation_matrix_distributions.qmd#index-entry-d3519d9e1f129c4f006c23bcd5995f869bcfb56d) (correlation_matrix_distributions.html)
-**lkj_corr_cholesky_lpdf**: +**lkj_corr_cholesky_lpdf**: - - [`(matrix L | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-03f62c1ae419e1804760f00f477c89ad5911c97a) + -
[`(matrix L | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-03f62c1ae419e1804760f00f477c89ad5911c97a) (correlation_matrix_distributions.html)
-**lkj_corr_cholesky_lupdf**: +**lkj_corr_cholesky_lupdf**: - - [`(matrix L | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-d612c55f03ba91b1722cbfc3ccd917a5fd209b0b) + -
[`(matrix L | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-d612c55f03ba91b1722cbfc3ccd917a5fd209b0b) (correlation_matrix_distributions.html)
-**lkj_corr_cholesky_rng**: +**lkj_corr_cholesky_rng**: - - [`(int K, real eta) : matrix`](correlation_matrix_distributions.qmd#index-entry-8efcbe3b1b5dfa560b74b1a1642f6f855f32c26f) + -
[`(int K, real eta) : matrix`](correlation_matrix_distributions.qmd#index-entry-8efcbe3b1b5dfa560b74b1a1642f6f855f32c26f) (correlation_matrix_distributions.html)
-**lkj_corr_lpdf**: +**lkj_corr_lpdf**: - - [`(matrix y | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-34f4437ba5f424e835889403cf07a8d4f63921f2) + -
[`(matrix y | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-34f4437ba5f424e835889403cf07a8d4f63921f2) (correlation_matrix_distributions.html)
-**lkj_corr_lupdf**: +**lkj_corr_lupdf**: - - [`(matrix y | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-61643c9cb87b1ed68a761b62034abf5253ca8f38) + -
[`(matrix y | real eta) : real`](correlation_matrix_distributions.qmd#index-entry-61643c9cb87b1ed68a761b62034abf5253ca8f38) (correlation_matrix_distributions.html)
-**lkj_corr_rng**: +**lkj_corr_rng**: - - [`(int K, real eta) : matrix`](correlation_matrix_distributions.qmd#index-entry-6af330a1989d2c53be55e7707c77a9e616e1eba2) + -
[`(int K, real eta) : matrix`](correlation_matrix_distributions.qmd#index-entry-6af330a1989d2c53be55e7707c77a9e616e1eba2) (correlation_matrix_distributions.html)
-**lmgamma**: +**lmgamma**: - - [`(int n, real x) : real`](real-valued_basic_functions.qmd#index-entry-d6d5bb15c2402be65d4a671ea3ee4462f2f96da9) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-f8c2c4db4a7befdf0727ddb48d54d9de4cf442a1) + -
[`(int n, real x) : real`](real-valued_basic_functions.qmd#index-entry-d6d5bb15c2402be65d4a671ea3ee4462f2f96da9) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-f8c2c4db4a7befdf0727ddb48d54d9de4cf442a1) (real-valued_basic_functions.html)
-**lmultiply**: +**lmultiply**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-d6659cf1923baf938d87ae82cf8fecf0665eb99d) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-5789074da7a4d0fb0e2acfe2db85408ed582f1a5) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-d6659cf1923baf938d87ae82cf8fecf0665eb99d) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-5789074da7a4d0fb0e2acfe2db85408ed582f1a5) (real-valued_basic_functions.html)
-**log**: +**log**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-2ae2007325e8a3d31124d85afaa37799bb6c8ea6) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-656b9ebaf2d3c913d48b33e37256a7fd908c2c74) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-2ae2007325e8a3d31124d85afaa37799bb6c8ea6) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-656b9ebaf2d3c913d48b33e37256a7fd908c2c74) (real-valued_basic_functions.html)
-**log10**: +**log10**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-58b920bd8ecd5758726663c1663723631b6e1040) - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-4d3907a677d8f4d4f89b1edc324ffe5fa2bfbafe) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-ad4651b8f653b4d8e1e6e50131371c8be7a35444) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-58b920bd8ecd5758726663c1663723631b6e1040) (real-valued_basic_functions.html)
+ -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-4d3907a677d8f4d4f89b1edc324ffe5fa2bfbafe) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-ad4651b8f653b4d8e1e6e50131371c8be7a35444) (real-valued_basic_functions.html)
-**log1m**: +**log1m**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-44e5298adea287581561adf0bc2875d063d97713) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-44e5298adea287581561adf0bc2875d063d97713) (real-valued_basic_functions.html)
-**log1m_exp**: +**log1m_exp**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-d3d38c55ec9be3639895f7ff75fac4b6b765c29a) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-d3d38c55ec9be3639895f7ff75fac4b6b765c29a) (real-valued_basic_functions.html)
-**log1m_inv_logit**: +**log1m_inv_logit**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-235d149b04f04823876ae89ac37a083db5908ce8) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-235d149b04f04823876ae89ac37a083db5908ce8) (real-valued_basic_functions.html)
-**log1p**: +**log1p**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-95ced8098d5ed0668cffa0d1be3921eed95f1d76) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-95ced8098d5ed0668cffa0d1be3921eed95f1d76) (real-valued_basic_functions.html)
-**log1p_exp**: +**log1p_exp**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4f41ed63ba44a1e663dcc15f1dddbea84a2e1fde) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4f41ed63ba44a1e663dcc15f1dddbea84a2e1fde) (real-valued_basic_functions.html)
-**log2**: +**log2**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-8e60dd0524fa17b2bb9c1df45ec2cb91f313d8f6) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-8aa277afaded318050922a7e576d5531918c4fa3) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-8e60dd0524fa17b2bb9c1df45ec2cb91f313d8f6) (real-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-8aa277afaded318050922a7e576d5531918c4fa3) (real-valued_basic_functions.html)
-**log_determinant**: +**log_determinant**: - - [`(matrix A) : real`](matrix_operations.qmd#index-entry-9e3fc21034e716f9152396c5bc91933e51a5adea) + -
[`(matrix A) : real`](matrix_operations.qmd#index-entry-9e3fc21034e716f9152396c5bc91933e51a5adea) (matrix_operations.html)
-**log_diff_exp**: +**log_diff_exp**: - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-db5adfe0722d967066a4801ba7088570feda3d4f) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-a68b0818c49fbd4972dfb2a14fea67387662718e) + -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-db5adfe0722d967066a4801ba7088570feda3d4f) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-a68b0818c49fbd4972dfb2a14fea67387662718e) (real-valued_basic_functions.html)
-**log_falling_factorial**: +**log_falling_factorial**: - - [`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-914b5210fcade0135a4887b4af7ce01cf07f84bf) + -
[`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-914b5210fcade0135a4887b4af7ce01cf07f84bf) (real-valued_basic_functions.html)
-**log_inv_logit**: +**log_inv_logit**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-35e5ab34a9cdca5c2c6b281a69b7bff27a2a200b) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-35e5ab34a9cdca5c2c6b281a69b7bff27a2a200b) (real-valued_basic_functions.html)
-**log_inv_logit_diff**: +**log_inv_logit_diff**: - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-10df9e89f06a7af185332206207ab46c15793245) + -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-10df9e89f06a7af185332206207ab46c15793245) (real-valued_basic_functions.html)
-**log_mix**: +**log_mix**: - - [`(real theta, real lp1, real lp2) : real`](real-valued_basic_functions.qmd#index-entry-569bcea73548d03bb5791681fcc60ee056c259b3) - - [`(T1 theta, T2 lp1, T3 lp2) : R`](real-valued_basic_functions.qmd#index-entry-2a36a682590acfceeb277b003f5f529fa3ccd882) + -
[`(real theta, real lp1, real lp2) : real`](real-valued_basic_functions.qmd#index-entry-569bcea73548d03bb5791681fcc60ee056c259b3) (real-valued_basic_functions.html)
+ -
[`(T1 theta, T2 lp1, T3 lp2) : R`](real-valued_basic_functions.qmd#index-entry-2a36a682590acfceeb277b003f5f529fa3ccd882) (real-valued_basic_functions.html)
-**log_modified_bessel_first_kind**: +**log_modified_bessel_first_kind**: - - [`(real v, real z) : real`](real-valued_basic_functions.qmd#index-entry-832bf9903539f39025b4823c5ad6ff48bf17ccad) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-f338c7d47a8fdaa9b97a44fadfdd5fb71ceccb3b) + -
[`(real v, real z) : real`](real-valued_basic_functions.qmd#index-entry-832bf9903539f39025b4823c5ad6ff48bf17ccad) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-f338c7d47a8fdaa9b97a44fadfdd5fb71ceccb3b) (real-valued_basic_functions.html)
-**log_rising_factorial**: +**log_rising_factorial**: - - [`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-72c705188e9fa2abc1fb72e724383889c9c3bc26) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-67ec81c237fb98951165722160d48a4e93bbf167) + -
[`(real x, real n) : real`](real-valued_basic_functions.qmd#index-entry-72c705188e9fa2abc1fb72e724383889c9c3bc26) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-67ec81c237fb98951165722160d48a4e93bbf167) (real-valued_basic_functions.html)
-**log_softmax**: +**log_softmax**: - - [`(vector x) : vector`](matrix_operations.qmd#index-entry-49224e65079937569f0952ce5740c03bd8dcb98a) + -
[`(vector x) : vector`](matrix_operations.qmd#index-entry-49224e65079937569f0952ce5740c03bd8dcb98a) (matrix_operations.html)
-**log_sum_exp**: +**log_sum_exp**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-7b26d9d0a4894d9b4686f4847de2d728f050eeca) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-54afbd4baa0c2ccf7b5392bdff0c6c87fce8222c) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-41527e620b092f6ca6efaca55f839d7ff1404f5b) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-da09d53c7797409929bfa868dfa8b30d767c1d2b) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-12d207b1c215fc3ea15553df653cae3cbb14fbdf) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-7b26d9d0a4894d9b4686f4847de2d728f050eeca) (array_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-54afbd4baa0c2ccf7b5392bdff0c6c87fce8222c) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-41527e620b092f6ca6efaca55f839d7ff1404f5b) (matrix_operations.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-da09d53c7797409929bfa868dfa8b30d767c1d2b) (real-valued_basic_functions.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-12d207b1c215fc3ea15553df653cae3cbb14fbdf) (matrix_operations.html)
-**logistic**: +**logistic**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-83ebb5b2c1c5976cb145e5c49c438dcedef9d5cc) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-83ebb5b2c1c5976cb145e5c49c438dcedef9d5cc) (unbounded_continuous_distributions.html)
-**logistic_cdf**: +**logistic_cdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4883524cdc0ee6a2baed3cdf4c56a2221fc3c5e4) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4883524cdc0ee6a2baed3cdf4c56a2221fc3c5e4) (unbounded_continuous_distributions.html)
-**logistic_lccdf**: +**logistic_lccdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-6cce712fc62f4073bbd1140a1dacdff12e0f72ce) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-6cce712fc62f4073bbd1140a1dacdff12e0f72ce) (unbounded_continuous_distributions.html)
-**logistic_lcdf**: +**logistic_lcdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-ae238a73fddb4ade983ee9f6ff91cdd7dcc57968) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-ae238a73fddb4ade983ee9f6ff91cdd7dcc57968) (unbounded_continuous_distributions.html)
-**logistic_lpdf**: +**logistic_lpdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-defc2f03147e4fc4d6ea7092ba14bfa3e211169e) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-defc2f03147e4fc4d6ea7092ba14bfa3e211169e) (unbounded_continuous_distributions.html)
-**logistic_lupdf**: +**logistic_lupdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-77bd7fb60be125c2b18d3f44f85bc656a0b9b919) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-77bd7fb60be125c2b18d3f44f85bc656a0b9b919) (unbounded_continuous_distributions.html)
-**logistic_rng**: +**logistic_rng**: - - [`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-9327491d09f9d375a4734c67a3727ca525f940f5) + -
[`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-9327491d09f9d375a4734c67a3727ca525f940f5) (unbounded_continuous_distributions.html)
-**logit**: +**logit**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b473710a74faf02bff89cd1f779befb3517d0ba6) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b473710a74faf02bff89cd1f779befb3517d0ba6) (real-valued_basic_functions.html)
-**loglogistic**: +**loglogistic**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-34bd0bbc32687356d26bf7bc8adb2ed107ee7c41) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-34bd0bbc32687356d26bf7bc8adb2ed107ee7c41) (positive_continuous_distributions.html)
-**loglogistic_cdf**: +**loglogistic_cdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-b4193e37a39fc626b93a8d5b938675e6a5f682ef) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-b4193e37a39fc626b93a8d5b938675e6a5f682ef) (positive_continuous_distributions.html)
-**loglogistic_lpdf**: +**loglogistic_lpdf**: - - [`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-54448e697522e5d4ca36ca4b7acca93cda712054) + -
[`(reals y | reals alpha, reals beta) : real`](positive_continuous_distributions.qmd#index-entry-54448e697522e5d4ca36ca4b7acca93cda712054) (positive_continuous_distributions.html)
-**loglogistic_rng**: +**loglogistic_rng**: - - [`(reals mu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-d1b23b045cd0f829704373f8a06d3f077646b0d0) + -
[`(reals mu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-d1b23b045cd0f829704373f8a06d3f077646b0d0) (positive_continuous_distributions.html)
-**lognormal**: +**lognormal**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-96de647c4a4c68e79cbd1680d0976df411556c5f) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-96de647c4a4c68e79cbd1680d0976df411556c5f) (positive_continuous_distributions.html)
-**lognormal_cdf**: +**lognormal_cdf**: - - [`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-765ee6d534fa4f5fb5e2d621a21456071b4c8458) + -
[`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-765ee6d534fa4f5fb5e2d621a21456071b4c8458) (positive_continuous_distributions.html)
-**lognormal_lccdf**: +**lognormal_lccdf**: - - [`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-64e46338c2669c1f1b399608c9d1c654bc02710b) + -
[`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-64e46338c2669c1f1b399608c9d1c654bc02710b) (positive_continuous_distributions.html)
-**lognormal_lcdf**: +**lognormal_lcdf**: - - [`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-93c2a2ecc235e787a00b95dad3075afbbf4a21db) + -
[`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-93c2a2ecc235e787a00b95dad3075afbbf4a21db) (positive_continuous_distributions.html)
-**lognormal_lpdf**: +**lognormal_lpdf**: - - [`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-ce67c5b635189c70cda3beeadc6fd4238ba2b535) + -
[`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-ce67c5b635189c70cda3beeadc6fd4238ba2b535) (positive_continuous_distributions.html)
-**lognormal_lupdf**: +**lognormal_lupdf**: - - [`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-3d3d0388e0be101f05b8314d8bed921fef2a999b) + -
[`(reals y | reals mu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-3d3d0388e0be101f05b8314d8bed921fef2a999b) (positive_continuous_distributions.html)
-**lognormal_rng**: +**lognormal_rng**: - - [`(reals mu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-ea103d5de1264a7df987cedd3cb455d3302557af) + -
[`(reals mu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-ea103d5de1264a7df987cedd3cb455d3302557af) (positive_continuous_distributions.html)
## M -**machine_precision**: +**machine_precision**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-b5f5a8656ff1f34e85d53f1ed43ff61eef17279b) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-b5f5a8656ff1f34e85d53f1ed43ff61eef17279b) (real-valued_basic_functions.html)
-**map_rect**: +**map_rect**: - - [`(F f, vector phi, array[] vector theta, data array[,] real x_r, data array[,] int x_i) : vector`](higher-order_functions.qmd#index-entry-6286c3d1b323b131fcba8e6c7123559540554abb) + -
[`(F f, vector phi, array[] vector theta, data array[,] real x_r, data array[,] int x_i) : vector`](higher-order_functions.qmd#index-entry-6286c3d1b323b131fcba8e6c7123559540554abb) (higher-order_functions.html)
-**matrix_exp**: +**matrix_exp**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-8aafa05928b6e41fc186f3ab4600c607bd5dd27c) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-8aafa05928b6e41fc186f3ab4600c607bd5dd27c) (matrix_operations.html)
-**matrix_exp_multiply**: +**matrix_exp_multiply**: - - [`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-07146ab787c63991cae5bac69256c64bc7dc73e5) + -
[`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-07146ab787c63991cae5bac69256c64bc7dc73e5) (matrix_operations.html)
-**matrix_power**: +**matrix_power**: - - [`(matrix A, int B) : matrix`](matrix_operations.qmd#index-entry-4343283f37a884cc983cd269f8a680db1f8f7a9a) + -
[`(matrix A, int B) : matrix`](matrix_operations.qmd#index-entry-4343283f37a884cc983cd269f8a680db1f8f7a9a) (matrix_operations.html)
-**max**: +**max**: - - [`(array[] int x) : int`](array_operations.qmd#index-entry-b77840f6a6da285fe070a2db533be9470af54dfc) - - [`(array[] real x) : real`](array_operations.qmd#index-entry-1dc0a9e5bd6f78b5d2904cba8c6375fa264e6990) - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-fbc1a906ce513495836edb5c1cd222c564bcc768) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-3f0b6dd3ba52477b4fef8985ad1e0a330b31afaf) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-260d6b034f7c7e6500278a93262c8d5af5ebe636) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-f2cd3ae46c31e2abdd35a92b4d10506f3c51f553) + -
[`(array[] int x) : int`](array_operations.qmd#index-entry-b77840f6a6da285fe070a2db533be9470af54dfc) (array_operations.html)
+ -
[`(array[] real x) : real`](array_operations.qmd#index-entry-1dc0a9e5bd6f78b5d2904cba8c6375fa264e6990) (array_operations.html)
+ -
[`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-fbc1a906ce513495836edb5c1cd222c564bcc768) (integer-valued_basic_functions.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-3f0b6dd3ba52477b4fef8985ad1e0a330b31afaf) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-260d6b034f7c7e6500278a93262c8d5af5ebe636) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-f2cd3ae46c31e2abdd35a92b4d10506f3c51f553) (matrix_operations.html)
-**mdivide_left_spd**: +**mdivide_left_spd**: - - [`(matrix A, matrix B) : vector`](matrix_operations.qmd#index-entry-cf5f3991e5dd2accb21ce017e9f96521b0735e68) - - [`(matrix A, vector b) : matrix`](matrix_operations.qmd#index-entry-0faeb825bd118874deb217de05883995b606c1e7) + -
[`(matrix A, matrix B) : vector`](matrix_operations.qmd#index-entry-cf5f3991e5dd2accb21ce017e9f96521b0735e68) (matrix_operations.html)
+ -
[`(matrix A, vector b) : matrix`](matrix_operations.qmd#index-entry-0faeb825bd118874deb217de05883995b606c1e7) (matrix_operations.html)
-**mdivide_left_tri_low**: +**mdivide_left_tri_low**: - - [`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-871e5638d23fa382b4f449a8fa0a5fa1c9556ecd) - - [`(matrix A, vector b) : vector`](matrix_operations.qmd#index-entry-713d2983956ecba7e2e36a9e0614def9ea574bc6) + -
[`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-871e5638d23fa382b4f449a8fa0a5fa1c9556ecd) (matrix_operations.html)
+ -
[`(matrix A, vector b) : vector`](matrix_operations.qmd#index-entry-713d2983956ecba7e2e36a9e0614def9ea574bc6) (matrix_operations.html)
-**mdivide_right_spd**: +**mdivide_right_spd**: - - [`(matrix B, matrix A) : matrix`](matrix_operations.qmd#index-entry-835081fc5b867bbda5d6b16d5849e6ecbe5f952c) - - [`(row_vector b, matrix A) : row_vector`](matrix_operations.qmd#index-entry-d0585dccea5c1361c5123a20b0b892e33c4b3ad7) + -
[`(matrix B, matrix A) : matrix`](matrix_operations.qmd#index-entry-835081fc5b867bbda5d6b16d5849e6ecbe5f952c) (matrix_operations.html)
+ -
[`(row_vector b, matrix A) : row_vector`](matrix_operations.qmd#index-entry-d0585dccea5c1361c5123a20b0b892e33c4b3ad7) (matrix_operations.html)
-**mdivide_right_tri_low**: +**mdivide_right_tri_low**: - - [`(matrix B, matrix A) : matrix`](matrix_operations.qmd#index-entry-36a5e85b63e1d37ab7beac6c411e72d20254fcad) - - [`(row_vector b, matrix A) : row_vector`](matrix_operations.qmd#index-entry-44c350e5b90595515ab70568c03a3283d78a20c7) + -
[`(matrix B, matrix A) : matrix`](matrix_operations.qmd#index-entry-36a5e85b63e1d37ab7beac6c411e72d20254fcad) (matrix_operations.html)
+ -
[`(row_vector b, matrix A) : row_vector`](matrix_operations.qmd#index-entry-44c350e5b90595515ab70568c03a3283d78a20c7) (matrix_operations.html)
-**mean**: +**mean**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-bb1b7fccc6b17cde8f9e75a947464b97bc4082d3) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-fedafc3d15883df02af3a5cc3c738594e4aac9e9) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-793945619c88050a3af516f403737ac131fdc6a3) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-895445a6a0170ef1bb8d7d7d9ed5eacdb328b24e) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-bb1b7fccc6b17cde8f9e75a947464b97bc4082d3) (array_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-fedafc3d15883df02af3a5cc3c738594e4aac9e9) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-793945619c88050a3af516f403737ac131fdc6a3) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-895445a6a0170ef1bb8d7d7d9ed5eacdb328b24e) (matrix_operations.html)
-**min**: +**min**: - - [`(array[] int x) : int`](array_operations.qmd#index-entry-6f45b7ae2a16ec959cb22d041d7b50c43dada819) - - [`(array[] real x) : real`](array_operations.qmd#index-entry-c4f3e810f70c09849013a04b92b38f9e93067e2f) - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-82a2d72a544284ee41b99d4842427ee71f7025b9) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-f8c78579caf9c583f2f55067b99104c0e7132124) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-9aecdccfa0bdd71b2c969de650b8e72bad49df26) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-1930adf5f047ff599b49aa2b5dd87c8fabe47d92) + -
[`(array[] int x) : int`](array_operations.qmd#index-entry-6f45b7ae2a16ec959cb22d041d7b50c43dada819) (array_operations.html)
+ -
[`(array[] real x) : real`](array_operations.qmd#index-entry-c4f3e810f70c09849013a04b92b38f9e93067e2f) (array_operations.html)
+ -
[`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-82a2d72a544284ee41b99d4842427ee71f7025b9) (integer-valued_basic_functions.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-f8c78579caf9c583f2f55067b99104c0e7132124) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-9aecdccfa0bdd71b2c969de650b8e72bad49df26) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-1930adf5f047ff599b49aa2b5dd87c8fabe47d92) (matrix_operations.html)
-**modified_bessel_first_kind**: +**modified_bessel_first_kind**: - - [`(int v, real z) : real`](real-valued_basic_functions.qmd#index-entry-1b49c405644022c418024b3fe2f764d081114dc5) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-63276374ee38edd44205674f5f32b4dcf306f671) + -
[`(int v, real z) : real`](real-valued_basic_functions.qmd#index-entry-1b49c405644022c418024b3fe2f764d081114dc5) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-63276374ee38edd44205674f5f32b4dcf306f671) (real-valued_basic_functions.html)
-**modified_bessel_second_kind**: +**modified_bessel_second_kind**: - - [`(int v, real z) : real`](real-valued_basic_functions.qmd#index-entry-e174dc75cd0e499de88270d4616de1ca6cb81235) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-6340b47f5e4a5642b6c080962ca50fde4d6ea5d9) + -
[`(int v, real z) : real`](real-valued_basic_functions.qmd#index-entry-e174dc75cd0e499de88270d4616de1ca6cb81235) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-6340b47f5e4a5642b6c080962ca50fde4d6ea5d9) (real-valued_basic_functions.html)
-**multi_gp**: +**multi_gp**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-457f8d9e9ebaf6012b892a8241fe77b322473f49) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-457f8d9e9ebaf6012b892a8241fe77b322473f49) (distributions_over_unbounded_vectors.html)
-**multi_gp_cholesky**: +**multi_gp_cholesky**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-5a77e4209bc50ea87ef1dbcce3bad7b10b094a6b) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-5a77e4209bc50ea87ef1dbcce3bad7b10b094a6b) (distributions_over_unbounded_vectors.html)
-**multi_gp_cholesky_lpdf**: +**multi_gp_cholesky_lpdf**: - - [`(matrix y | matrix L, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-2903bb116c036e35d3cb81e008dcad2b7a6e6756) + -
[`(matrix y | matrix L, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-2903bb116c036e35d3cb81e008dcad2b7a6e6756) (distributions_over_unbounded_vectors.html)
-**multi_gp_cholesky_lupdf**: +**multi_gp_cholesky_lupdf**: - - [`(matrix y | matrix L, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-df18f8bd56610fdd6df3192990ee5cb001142817) + -
[`(matrix y | matrix L, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-df18f8bd56610fdd6df3192990ee5cb001142817) (distributions_over_unbounded_vectors.html)
-**multi_gp_lpdf**: +**multi_gp_lpdf**: - - [`(matrix y | matrix Sigma, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-fdd1f01264b88aa3f7a0cae0db463d1f87d5e0e8) + -
[`(matrix y | matrix Sigma, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-fdd1f01264b88aa3f7a0cae0db463d1f87d5e0e8) (distributions_over_unbounded_vectors.html)
-**multi_gp_lupdf**: +**multi_gp_lupdf**: - - [`(matrix y | matrix Sigma, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ead480cd44ceccdf956822e08476ca3b5ca14a76) + -
[`(matrix y | matrix Sigma, vector w) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ead480cd44ceccdf956822e08476ca3b5ca14a76) (distributions_over_unbounded_vectors.html)
-**multi_normal**: +**multi_normal**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-55bcd96ac570a9cd0612aa8c9853df2ef3ca7750) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-55bcd96ac570a9cd0612aa8c9853df2ef3ca7750) (distributions_over_unbounded_vectors.html)
-**multi_normal_cholesky**: +**multi_normal_cholesky**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-478582106e708a75c36c3c557d30196407f15133) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-478582106e708a75c36c3c557d30196407f15133) (distributions_over_unbounded_vectors.html)
-**multi_normal_cholesky_lpdf**: +**multi_normal_cholesky_lpdf**: - - [`(row_vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d5709f43c49fc57a5ef58e94e176962d2bff379a) - - [`(row_vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69e5b64a11f77c97cd0fffeaee869c5358969237) - - [`(vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-efdc316743c9c9f1a6ee782650494ee45cb045cd) - - [`(vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-b197f45c690e4b7dd4ebe29d9f75790be4acf177) + -
[`(row_vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d5709f43c49fc57a5ef58e94e176962d2bff379a) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69e5b64a11f77c97cd0fffeaee869c5358969237) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-efdc316743c9c9f1a6ee782650494ee45cb045cd) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-b197f45c690e4b7dd4ebe29d9f75790be4acf177) (distributions_over_unbounded_vectors.html)
-**multi_normal_cholesky_lupdf**: +**multi_normal_cholesky_lupdf**: - - [`(row_vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-1606261a4f25b4e68b2bf4b1c8bf2513e62cdf5c) - - [`(row_vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d3682df812ba6f35ad608d62b19f6c8ca23601f7) - - [`(vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-a04f4fcdecc170b474051229edff4d2358b9c619) - - [`(vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-2ac54d7aebe6a22693ee5a9016fef469246a746c) + -
[`(row_vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-1606261a4f25b4e68b2bf4b1c8bf2513e62cdf5c) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d3682df812ba6f35ad608d62b19f6c8ca23601f7) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-a04f4fcdecc170b474051229edff4d2358b9c619) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-2ac54d7aebe6a22693ee5a9016fef469246a746c) (distributions_over_unbounded_vectors.html)
-**multi_normal_cholesky_rng**: +**multi_normal_cholesky_rng**: - - [`(row_vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-83a370eb75f07ac047e03e4dde9d64cf42e4c432) - - [`(row_vectors mu, matrix L) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-e6934af3e7cb8c68c3aa044307129bbaf17ffabf) - - [`(vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-b2936af169906302b9686d4673d8c5a8da710efb) - - [`(vectors mu, matrix L) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-7e60f3380a18c3f7bbcc383bfa7fcd15c14c054b) + -
[`(row_vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-83a370eb75f07ac047e03e4dde9d64cf42e4c432) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors mu, matrix L) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-e6934af3e7cb8c68c3aa044307129bbaf17ffabf) (distributions_over_unbounded_vectors.html)
+ -
[`(vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-b2936af169906302b9686d4673d8c5a8da710efb) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors mu, matrix L) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-7e60f3380a18c3f7bbcc383bfa7fcd15c14c054b) (distributions_over_unbounded_vectors.html)
-**multi_normal_lpdf**: +**multi_normal_lpdf**: - - [`(row_vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7d157b823f0ae33310094712caff4096b644a282) - - [`(row_vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-fe635d231edc36e95bda6936e3dc7f58cf04d7b9) - - [`(vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-c1e8d116401a5e7f66812da95e1285dc2a3b111a) - - [`(vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ea7d4337cebac7fdbfa928b24a3626208823e80e) + -
[`(row_vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7d157b823f0ae33310094712caff4096b644a282) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-fe635d231edc36e95bda6936e3dc7f58cf04d7b9) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-c1e8d116401a5e7f66812da95e1285dc2a3b111a) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ea7d4337cebac7fdbfa928b24a3626208823e80e) (distributions_over_unbounded_vectors.html)
-**multi_normal_lupdf**: +**multi_normal_lupdf**: - - [`(row_vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-86c5dd8e6cf2c484c3c76fffcadc99f786b7265b) - - [`(row_vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69f99f5b6cefce126adc27f7b20728705d7e8a53) - - [`(vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-a0fb7f94e06645589741da551fba4a55a0a33e44) - - [`(vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7786848b839eeda0bfa728760464ac4a8369550d) + -
[`(row_vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-86c5dd8e6cf2c484c3c76fffcadc99f786b7265b) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69f99f5b6cefce126adc27f7b20728705d7e8a53) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-a0fb7f94e06645589741da551fba4a55a0a33e44) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7786848b839eeda0bfa728760464ac4a8369550d) (distributions_over_unbounded_vectors.html)
-**multi_normal_prec**: +**multi_normal_prec**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-541ca6516f2a9c57d99c4d0b57a2b0a1df8a105d) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-541ca6516f2a9c57d99c4d0b57a2b0a1df8a105d) (distributions_over_unbounded_vectors.html)
-**multi_normal_prec_lpdf**: +**multi_normal_prec_lpdf**: - - [`(row_vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-eb92ca14c43c32d999ac0b10e2160f641a23f265) - - [`(row_vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-8efc2d6f42f7fd5eeb961e3959b617201d45a58c) - - [`(vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-dcfb9bff5f659aa499401ffd77ffd7bbaa784936) - - [`(vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-6a00a4a10d9e84eaa51e885395294f4b4e1272dd) + -
[`(row_vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-eb92ca14c43c32d999ac0b10e2160f641a23f265) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-8efc2d6f42f7fd5eeb961e3959b617201d45a58c) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-dcfb9bff5f659aa499401ffd77ffd7bbaa784936) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-6a00a4a10d9e84eaa51e885395294f4b4e1272dd) (distributions_over_unbounded_vectors.html)
-**multi_normal_prec_lupdf**: +**multi_normal_prec_lupdf**: - - [`(row_vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-9cf50bfea31a9655df9c07627982295a3a884afa) - - [`(row_vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-314ed87058998a1934a7cd80a00abca432768d68) - - [`(vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ec0990b5c058b76b441e3132b8e4986f8fc3b9a6) - - [`(vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-e4db099421dc8d5cb5ccaf22226497142e4ad656) + -
[`(row_vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-9cf50bfea31a9655df9c07627982295a3a884afa) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-314ed87058998a1934a7cd80a00abca432768d68) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | row_vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ec0990b5c058b76b441e3132b8e4986f8fc3b9a6) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | vectors mu, matrix Omega) : real`](distributions_over_unbounded_vectors.qmd#index-entry-e4db099421dc8d5cb5ccaf22226497142e4ad656) (distributions_over_unbounded_vectors.html)
-**multi_normal_rng**: +**multi_normal_rng**: - - [`(row_vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-70771ae7e3296e2a09378f81d64a16d0ffdebe49) - - [`(row_vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-214830eeea24ebd3c375e92411ceab1101a15b6c) - - [`(vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-d83a51f846b5823f2e419d6189b27cd98643a584) - - [`(vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-ba20f2e8644cf2fff8761565c61ae10f1160df3a) + -
[`(row_vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-70771ae7e3296e2a09378f81d64a16d0ffdebe49) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-214830eeea24ebd3c375e92411ceab1101a15b6c) (distributions_over_unbounded_vectors.html)
+ -
[`(vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-d83a51f846b5823f2e419d6189b27cd98643a584) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-ba20f2e8644cf2fff8761565c61ae10f1160df3a) (distributions_over_unbounded_vectors.html)
-**multi_student_cholesky_t_rng**: +**multi_student_cholesky_t_rng**: - - [`(real nu, vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-37c54942aa5cd7ed73303ca868eeb65b156be282) + -
[`(real nu, vector mu, matrix L) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-37c54942aa5cd7ed73303ca868eeb65b156be282) (distributions_over_unbounded_vectors.html)
-**multi_student_t**: +**multi_student_t**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-6f17c5611de64710688848607c0edd592e244fe1) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-6f17c5611de64710688848607c0edd592e244fe1) (distributions_over_unbounded_vectors.html)
-**multi_student_t_cholesky**: +**multi_student_t_cholesky**: - - [distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-190447ef796a8d04715897b349d1433608a8a0e3) + -
[distribution statement](distributions_over_unbounded_vectors.qmd#index-entry-190447ef796a8d04715897b349d1433608a8a0e3) (distributions_over_unbounded_vectors.html)
-**multi_student_t_cholesky_lpdf**: +**multi_student_t_cholesky_lpdf**: - - [`(vectors y | real nu, vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-79368cb327eb8f4f3056a3e71077b92df2406595) + -
[`(vectors y | real nu, vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-79368cb327eb8f4f3056a3e71077b92df2406595) (distributions_over_unbounded_vectors.html)
-**multi_student_t_cholesky_lupdf**: +**multi_student_t_cholesky_lupdf**: - - [`(vectors y | real nu, vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-4b504cf934bd0448a4e3174a7a7b34f46cfa7d8c) + -
[`(vectors y | real nu, vectors mu, matrix L) : real`](distributions_over_unbounded_vectors.qmd#index-entry-4b504cf934bd0448a4e3174a7a7b34f46cfa7d8c) (distributions_over_unbounded_vectors.html)
-**multi_student_t_cholesky_rng**: +**multi_student_t_cholesky_rng**: - - [`(real nu, array[] row_vector mu, matrix L) : array[] vector`](distributions_over_unbounded_vectors.qmd#index-entry-48a1c071b3760543bf2019dc6c37df56b26a25b4) - - [`(real nu, array[] vector mu, matrix L) : array[] vector`](distributions_over_unbounded_vectors.qmd#index-entry-da90fd4020ba98291c4e0c6ae45340c32e83bdc6) + -
[`(real nu, array[] row_vector mu, matrix L) : array[] vector`](distributions_over_unbounded_vectors.qmd#index-entry-48a1c071b3760543bf2019dc6c37df56b26a25b4) (distributions_over_unbounded_vectors.html)
+ -
[`(real nu, array[] vector mu, matrix L) : array[] vector`](distributions_over_unbounded_vectors.qmd#index-entry-da90fd4020ba98291c4e0c6ae45340c32e83bdc6) (distributions_over_unbounded_vectors.html)
-**multi_student_t_lpdf**: +**multi_student_t_lpdf**: - - [`(row_vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-5b6e5c7b1a5d8704f96553d2ccd4fb053bdb4917) - - [`(row_vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-b0e0974e59e75e19f6b6c4aa22d8395d7ef922de) - - [`(vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-97bab7be0967824f68beadb09ab9fc5152e4b605) - - [`(vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69dbd18bfe0fa38bad7531c187ffd5ddbc68655e) + -
[`(row_vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-5b6e5c7b1a5d8704f96553d2ccd4fb053bdb4917) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-b0e0974e59e75e19f6b6c4aa22d8395d7ef922de) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-97bab7be0967824f68beadb09ab9fc5152e4b605) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-69dbd18bfe0fa38bad7531c187ffd5ddbc68655e) (distributions_over_unbounded_vectors.html)
-**multi_student_t_lupdf**: +**multi_student_t_lupdf**: - - [`(row_vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d92dadb3604f6521420ca422b762d25b60b94dbf) - - [`(row_vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7b3d937ea2e301a8d2455c2939ef7fc5c815d5ca) - - [`(vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-74a88cd182b98cb2259da79ec60775f5d1f01084) - - [`(vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ed2f0cb9d8bc8294e4c924451d7f556f82d5157c) + -
[`(row_vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-d92dadb3604f6521420ca422b762d25b60b94dbf) (distributions_over_unbounded_vectors.html)
+ -
[`(row_vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-7b3d937ea2e301a8d2455c2939ef7fc5c815d5ca) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | real nu, row_vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-74a88cd182b98cb2259da79ec60775f5d1f01084) (distributions_over_unbounded_vectors.html)
+ -
[`(vectors y | real nu, vectors mu, matrix Sigma) : real`](distributions_over_unbounded_vectors.qmd#index-entry-ed2f0cb9d8bc8294e4c924451d7f556f82d5157c) (distributions_over_unbounded_vectors.html)
-**multi_student_t_rng**: +**multi_student_t_rng**: - - [`(real nu, row_vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-18f756f159784f68dc00bac1706c5e31f805daf3) - - [`(real nu, row_vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-f05b8a3480e2360d1224acb270aca05c90674ba1) - - [`(real nu, vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-e2a99afdcb2cc3ec5ffc0367d7d241f2b511a575) - - [`(real nu, vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-d65fa98b0f3f647ffd2cbe3f445ab17be93735dc) + -
[`(real nu, row_vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-18f756f159784f68dc00bac1706c5e31f805daf3) (distributions_over_unbounded_vectors.html)
+ -
[`(real nu, row_vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-f05b8a3480e2360d1224acb270aca05c90674ba1) (distributions_over_unbounded_vectors.html)
+ -
[`(real nu, vector mu, matrix Sigma) : vector`](distributions_over_unbounded_vectors.qmd#index-entry-e2a99afdcb2cc3ec5ffc0367d7d241f2b511a575) (distributions_over_unbounded_vectors.html)
+ -
[`(real nu, vectors mu, matrix Sigma) : vectors`](distributions_over_unbounded_vectors.qmd#index-entry-d65fa98b0f3f647ffd2cbe3f445ab17be93735dc) (distributions_over_unbounded_vectors.html)
-**multinomial**: +**multinomial**: - - [distribution statement](multivariate_discrete_distributions.qmd#index-entry-e60b9005f8bb7c315f7c9c28123c0e6cf5a64f66) + -
[distribution statement](multivariate_discrete_distributions.qmd#index-entry-e60b9005f8bb7c315f7c9c28123c0e6cf5a64f66) (multivariate_discrete_distributions.html)
-**multinomial_logit**: +**multinomial_logit**: - - [distribution statement](multivariate_discrete_distributions.qmd#index-entry-00ac83839e3f3aac2fa9ff06c7cfb47d659ef796) + -
[distribution statement](multivariate_discrete_distributions.qmd#index-entry-00ac83839e3f3aac2fa9ff06c7cfb47d659ef796) (multivariate_discrete_distributions.html)
-**multinomial_logit_lpmf**: +**multinomial_logit_lpmf**: - - [`(array[] int y | vector gamma) : real`](multivariate_discrete_distributions.qmd#index-entry-dac1445017dc2f0105939d8fd00f7654057c9a95) + -
[`(array[] int y | vector gamma) : real`](multivariate_discrete_distributions.qmd#index-entry-dac1445017dc2f0105939d8fd00f7654057c9a95) (multivariate_discrete_distributions.html)
-**multinomial_logit_lupmf**: +**multinomial_logit_lupmf**: - - [`(array[] int y | vector gamma) : real`](multivariate_discrete_distributions.qmd#index-entry-b2a96795c168ea1f40d7be5db3359edbf96cc95f) + -
[`(array[] int y | vector gamma) : real`](multivariate_discrete_distributions.qmd#index-entry-b2a96795c168ea1f40d7be5db3359edbf96cc95f) (multivariate_discrete_distributions.html)
-**multinomial_logit_rng**: +**multinomial_logit_rng**: - - [`(vector gamma, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-1d2c47ee6f88d4e1c284b4647634a23d3b215792) + -
[`(vector gamma, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-1d2c47ee6f88d4e1c284b4647634a23d3b215792) (multivariate_discrete_distributions.html)
-**multinomial_lpmf**: +**multinomial_lpmf**: - - [`(array[] int y | vector theta) : real`](multivariate_discrete_distributions.qmd#index-entry-2a1a28ece722b9157657d45c59162d74bb3757df) + -
[`(array[] int y | vector theta) : real`](multivariate_discrete_distributions.qmd#index-entry-2a1a28ece722b9157657d45c59162d74bb3757df) (multivariate_discrete_distributions.html)
-**multinomial_lupmf**: +**multinomial_lupmf**: - - [`(array[] int y | vector theta) : real`](multivariate_discrete_distributions.qmd#index-entry-43f3a751ea3d648a3e23143c525562a1f20e99a3) + -
[`(array[] int y | vector theta) : real`](multivariate_discrete_distributions.qmd#index-entry-43f3a751ea3d648a3e23143c525562a1f20e99a3) (multivariate_discrete_distributions.html)
-**multinomial_rng**: +**multinomial_rng**: - - [`(vector theta, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-be7dbffff355abebf7628e28e92ff3e0fc11e115) + -
[`(vector theta, int N) : array[] int`](multivariate_discrete_distributions.qmd#index-entry-be7dbffff355abebf7628e28e92ff3e0fc11e115) (multivariate_discrete_distributions.html)
-**multiply_lower_tri_self_transpose**: +**multiply_lower_tri_self_transpose**: - - [`(matrix x) : matrix`](matrix_operations.qmd#index-entry-074a26dceab0e18f9117c1bd04f0818b1c303de2) + -
[`(matrix x) : matrix`](matrix_operations.qmd#index-entry-074a26dceab0e18f9117c1bd04f0818b1c303de2) (matrix_operations.html)
## N -**neg_binomial**: +**neg_binomial**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-62400243069f91416bfa36c834b3635bebcbd43e) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-62400243069f91416bfa36c834b3635bebcbd43e) (unbounded_discrete_distributions.html)
-**neg_binomial_2**: +**neg_binomial_2**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-ea4ba68ab4a32b0e2125adc6e5304e54972de2a9) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-ea4ba68ab4a32b0e2125adc6e5304e54972de2a9) (unbounded_discrete_distributions.html)
-**neg_binomial_2_cdf**: +**neg_binomial_2_cdf**: - - [`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-a5768bbcd476f90cbae7573d0978531f6ad5a9fa) + -
[`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-a5768bbcd476f90cbae7573d0978531f6ad5a9fa) (unbounded_discrete_distributions.html)
-**neg_binomial_2_lccdf**: +**neg_binomial_2_lccdf**: - - [`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-bfa4fa4a4278e2a259bbd9bae0faca3d4e99b1eb) + -
[`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-bfa4fa4a4278e2a259bbd9bae0faca3d4e99b1eb) (unbounded_discrete_distributions.html)
-**neg_binomial_2_lcdf**: +**neg_binomial_2_lcdf**: - - [`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7bb63856ad5d268ddb11337ad2e4e53f7e54a273) + -
[`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7bb63856ad5d268ddb11337ad2e4e53f7e54a273) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log**: +**neg_binomial_2_log**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-92d907cea1dc522c9b36cf1caa3f7c6e8360fe7b) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-92d907cea1dc522c9b36cf1caa3f7c6e8360fe7b) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_glm**: +**neg_binomial_2_log_glm**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-28895026932258af73faa16c7dec6a131af227bb) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-28895026932258af73faa16c7dec6a131af227bb) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_glm_lpmf**: +**neg_binomial_2_log_glm_lpmf**: - - [`(array[] int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-145c118038ba258504502a0ca981d7c12532bc51) - - [`(array[] int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-f5314e218cc2c6e5fe4e6301645ec2c0fdafbc11) - - [`(array[] int y | row_vector x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-16a3cf3cfe06586324838df97a33fbb2c2efeef7) - - [`(array[] int y | row_vector x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-30a171234617b31ebd3414cb4a4f82c1b62b3d34) - - [`(int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7fe4a0797bb0b9fced5c0f2d75c06e1e479ea248) - - [`(int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-91d1747bb7a9e5a3edc9ed5ec4c377f643eac2ca) + -
[`(array[] int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-145c118038ba258504502a0ca981d7c12532bc51) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-f5314e218cc2c6e5fe4e6301645ec2c0fdafbc11) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-16a3cf3cfe06586324838df97a33fbb2c2efeef7) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-30a171234617b31ebd3414cb4a4f82c1b62b3d34) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7fe4a0797bb0b9fced5c0f2d75c06e1e479ea248) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-91d1747bb7a9e5a3edc9ed5ec4c377f643eac2ca) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_glm_lupmf**: +**neg_binomial_2_log_glm_lupmf**: - - [`(array[] int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-c5e5488af5e4e66825ea2b163862a7d35f6dd124) - - [`(array[] int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7346fdbc1e0f782c1d3ab15e9f444e03bc33b644) - - [`(array[] int y | row_vector x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-c6a6b66b9c19ab430c255ed8047ad014e1f6414c) - - [`(array[] int y | row_vector x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-e736537c82f56050b3aaf75e43b6d50a38477dd9) - - [`(int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-09ef2622134a433c0f9c3ad0643e20255979e98a) - - [`(int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-d01dd7632fe36e888d0067b62cae9fd79230af8d) + -
[`(array[] int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-c5e5488af5e4e66825ea2b163862a7d35f6dd124) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-7346fdbc1e0f782c1d3ab15e9f444e03bc33b644) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-c6a6b66b9c19ab430c255ed8047ad014e1f6414c) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-e736537c82f56050b3aaf75e43b6d50a38477dd9) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-09ef2622134a433c0f9c3ad0643e20255979e98a) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta, real phi) : real`](unbounded_discrete_distributions.qmd#index-entry-d01dd7632fe36e888d0067b62cae9fd79230af8d) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_lpmf**: +**neg_binomial_2_log_lpmf**: - - [`(ints n | reals eta, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-e583555ff09b9ca6a30c94843f0e429145fe29ad) + -
[`(ints n | reals eta, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-e583555ff09b9ca6a30c94843f0e429145fe29ad) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_lupmf**: +**neg_binomial_2_log_lupmf**: - - [`(ints n | reals eta, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-79456eb164dc3e83dad8b862ae24a86882f2d536) + -
[`(ints n | reals eta, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-79456eb164dc3e83dad8b862ae24a86882f2d536) (unbounded_discrete_distributions.html)
-**neg_binomial_2_log_rng**: +**neg_binomial_2_log_rng**: - - [`(reals eta, reals phi) : R`](unbounded_discrete_distributions.qmd#index-entry-81dfe168f8aedf6dbf3f3ff8025936b2cf1052a1) + -
[`(reals eta, reals phi) : R`](unbounded_discrete_distributions.qmd#index-entry-81dfe168f8aedf6dbf3f3ff8025936b2cf1052a1) (unbounded_discrete_distributions.html)
-**neg_binomial_2_lpmf**: +**neg_binomial_2_lpmf**: - - [`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-711f077d61fb2160d3c8b33015b15af366056763) + -
[`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-711f077d61fb2160d3c8b33015b15af366056763) (unbounded_discrete_distributions.html)
-**neg_binomial_2_lupmf**: +**neg_binomial_2_lupmf**: - - [`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-3232cdce0c2d7dce167ba0946aafbbbe5cc4a28f) + -
[`(ints n | reals mu, reals phi) : real`](unbounded_discrete_distributions.qmd#index-entry-3232cdce0c2d7dce167ba0946aafbbbe5cc4a28f) (unbounded_discrete_distributions.html)
-**neg_binomial_2_rng**: +**neg_binomial_2_rng**: - - [`(reals mu, reals phi) : R`](unbounded_discrete_distributions.qmd#index-entry-eabf098a3499209e5f0959ac998ed4fcf53b0a51) + -
[`(reals mu, reals phi) : R`](unbounded_discrete_distributions.qmd#index-entry-eabf098a3499209e5f0959ac998ed4fcf53b0a51) (unbounded_discrete_distributions.html)
-**neg_binomial_cdf**: +**neg_binomial_cdf**: - - [`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-de9079d9e962df30ca27f6860eae99efcc654189) + -
[`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-de9079d9e962df30ca27f6860eae99efcc654189) (unbounded_discrete_distributions.html)
-**neg_binomial_lccdf**: +**neg_binomial_lccdf**: - - [`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-8c72c425ce2f6cbc3dad23f6abb0dd9278749e84) + -
[`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-8c72c425ce2f6cbc3dad23f6abb0dd9278749e84) (unbounded_discrete_distributions.html)
-**neg_binomial_lcdf**: +**neg_binomial_lcdf**: - - [`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-83ea716052404e4f13e9f1c9f52092361d064615) + -
[`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-83ea716052404e4f13e9f1c9f52092361d064615) (unbounded_discrete_distributions.html)
-**neg_binomial_lpmf**: +**neg_binomial_lpmf**: - - [`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-2a11a12aef7b6b441ea425acd9d5cb21aa6e66c0) + -
[`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-2a11a12aef7b6b441ea425acd9d5cb21aa6e66c0) (unbounded_discrete_distributions.html)
-**neg_binomial_lupmf**: +**neg_binomial_lupmf**: - - [`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-93c924df2baea99a71249bcad641d8f75c6e41cd) + -
[`(ints n | reals alpha, reals beta) : real`](unbounded_discrete_distributions.qmd#index-entry-93c924df2baea99a71249bcad641d8f75c6e41cd) (unbounded_discrete_distributions.html)
-**neg_binomial_rng**: +**neg_binomial_rng**: - - [`(reals alpha, reals beta) : R`](unbounded_discrete_distributions.qmd#index-entry-4c2098ee820ccf0732443eb5d87c0d6d839cce4d) + -
[`(reals alpha, reals beta) : R`](unbounded_discrete_distributions.qmd#index-entry-4c2098ee820ccf0732443eb5d87c0d6d839cce4d) (unbounded_discrete_distributions.html)
-**negative_infinity**: +**negative_infinity**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-4fcafd8237c585340253854dec13739165d456bd) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-4fcafd8237c585340253854dec13739165d456bd) (real-valued_basic_functions.html)
-**norm**: +**norm**: - - [`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-8e1a8cccaab89f6f630e0b34e2292689c9aa46a3) + -
[`(complex z) : real`](complex-valued_basic_functions.qmd#index-entry-8e1a8cccaab89f6f630e0b34e2292689c9aa46a3) (complex-valued_basic_functions.html)
-**norm1**: +**norm1**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-d29d5686fa464cc82765e365c73f1ebb70954ffa) - - [`(row_vector x) : real`](array_operations.qmd#index-entry-3a384b9bbb192b688afb1c9e95a490200da65412) - - [`(vector x) : real`](array_operations.qmd#index-entry-64a22469a1ca08b874dfd1f7dba4e60a02311a4d) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-d29d5686fa464cc82765e365c73f1ebb70954ffa) (array_operations.html)
+ -
[`(row_vector x) : real`](array_operations.qmd#index-entry-3a384b9bbb192b688afb1c9e95a490200da65412) (array_operations.html)
+ -
[`(vector x) : real`](array_operations.qmd#index-entry-64a22469a1ca08b874dfd1f7dba4e60a02311a4d) (array_operations.html)
-**norm2**: +**norm2**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-95748dc7d816217c82a900a5cefd801980794a10) - - [`(row_vector x) : real`](array_operations.qmd#index-entry-15be5905b3ac40ce77299341b9e7434d6e5a721e) - - [`(vector x) : real`](array_operations.qmd#index-entry-bd1aec552c96bca3230c994fb47fa42e54632e5e) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-95748dc7d816217c82a900a5cefd801980794a10) (array_operations.html)
+ -
[`(row_vector x) : real`](array_operations.qmd#index-entry-15be5905b3ac40ce77299341b9e7434d6e5a721e) (array_operations.html)
+ -
[`(vector x) : real`](array_operations.qmd#index-entry-bd1aec552c96bca3230c994fb47fa42e54632e5e) (array_operations.html)
-**normal**: +**normal**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-72458a5e0e1a905dc04f11d1b05e4136543f6142) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-72458a5e0e1a905dc04f11d1b05e4136543f6142) (unbounded_continuous_distributions.html)
-**normal_cdf**: +**normal_cdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-03470cc37c6a6c27433e9854162ed863ac635e68) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-03470cc37c6a6c27433e9854162ed863ac635e68) (unbounded_continuous_distributions.html)
-**normal_id_glm**: +**normal_id_glm**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-f2e910491c0d85196d2d372dcaffcc4cc22572ce) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-f2e910491c0d85196d2d372dcaffcc4cc22572ce) (unbounded_continuous_distributions.html)
-**normal_id_glm_lpdf**: +**normal_id_glm_lpdf**: - - [`(real y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4436deedaa4adcaf697328f4ab6228f12bf213be) - - [`(real y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-90d8f9b890b2588b36ed285cfb031e89bf170935) - - [`(real y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4fc2715c69e219915d6372ded62c513ec2dad353) - - [`(real y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-7991a0ad137f72771bee6ae8bfe2a09dba063c5a) - - [`(vector y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-5bce6923d1e27b6dfdb1112d0e26e6f2fccf3704) - - [`(vector y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1428e7cc017ba5e7e160484c9051cfb458221d42) - - [`(vector y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c8b35bcd76ae895df16171156e9ddc2b50977858) - - [`(vector y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-bc577f1feffdbfa17e7321f5cd733afccd7e822f) - - [`(vector y | row_vector x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1d3d0f48ac6b8ae87eab8640482747cc1d3bcc65) - - [`(vector y | row_vector x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-d67cdb934c8fdbe441e7968e31d3d42bdc6bb46f) + -
[`(real y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4436deedaa4adcaf697328f4ab6228f12bf213be) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-90d8f9b890b2588b36ed285cfb031e89bf170935) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-4fc2715c69e219915d6372ded62c513ec2dad353) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-7991a0ad137f72771bee6ae8bfe2a09dba063c5a) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-5bce6923d1e27b6dfdb1112d0e26e6f2fccf3704) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1428e7cc017ba5e7e160484c9051cfb458221d42) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c8b35bcd76ae895df16171156e9ddc2b50977858) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-bc577f1feffdbfa17e7321f5cd733afccd7e822f) (unbounded_continuous_distributions.html)
+ -
[`(vector y | row_vector x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1d3d0f48ac6b8ae87eab8640482747cc1d3bcc65) (unbounded_continuous_distributions.html)
+ -
[`(vector y | row_vector x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-d67cdb934c8fdbe441e7968e31d3d42bdc6bb46f) (unbounded_continuous_distributions.html)
-**normal_id_glm_lupdf**: +**normal_id_glm_lupdf**: - - [`(real y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-ef0f44ddfb9e65d97bec95df9bc84e88a5262ebc) - - [`(real y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-2604f4a479cd2758a8273ebc888a4f35d707bcc3) - - [`(real y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-baaf096f4f58b53d3142ade26076839f36733a39) - - [`(real y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-d7b73dfd16de89ad209b2a04905cdae1169f761c) - - [`(vector y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-b410b1737bb33ec4400eae94d05bb37faea0c0e9) - - [`(vector y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-e4b62bbce38476467b6d5d8347d048688b1b22fe) - - [`(vector y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-348b5a5c6bc0a9340114bd7744603300d84580bb) - - [`(vector y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-6c41e1877f2f156d78215c8b4f25b5795223a0d3) - - [`(vector y | row_vector x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1aefc00a65f6adeb0cba0329b66f968d6caf1427) - - [`(vector y | row_vector x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-29d66019b47c2be1df4e8cb54f85a3459f41d7be) + -
[`(real y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-ef0f44ddfb9e65d97bec95df9bc84e88a5262ebc) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-2604f4a479cd2758a8273ebc888a4f35d707bcc3) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-baaf096f4f58b53d3142ade26076839f36733a39) (unbounded_continuous_distributions.html)
+ -
[`(real y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-d7b73dfd16de89ad209b2a04905cdae1169f761c) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-b410b1737bb33ec4400eae94d05bb37faea0c0e9) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, real alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-e4b62bbce38476467b6d5d8347d048688b1b22fe) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-348b5a5c6bc0a9340114bd7744603300d84580bb) (unbounded_continuous_distributions.html)
+ -
[`(vector y | matrix x, vector alpha, vector beta, vector sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-6c41e1877f2f156d78215c8b4f25b5795223a0d3) (unbounded_continuous_distributions.html)
+ -
[`(vector y | row_vector x, real alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-1aefc00a65f6adeb0cba0329b66f968d6caf1427) (unbounded_continuous_distributions.html)
+ -
[`(vector y | row_vector x, vector alpha, vector beta, real sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-29d66019b47c2be1df4e8cb54f85a3459f41d7be) (unbounded_continuous_distributions.html)
-**normal_lccdf**: +**normal_lccdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-0e0917cae8b192a1adca7f9d708d48f291d953c0) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-0e0917cae8b192a1adca7f9d708d48f291d953c0) (unbounded_continuous_distributions.html)
-**normal_lcdf**: +**normal_lcdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-0c8b83888fa71a0e469f8d91bc4d13c2ee3adb7a) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-0c8b83888fa71a0e469f8d91bc4d13c2ee3adb7a) (unbounded_continuous_distributions.html)
-**normal_lpdf**: +**normal_lpdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-7fb57a9b998de709bd4e5f0f69713d26e2ee62ae) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-7fb57a9b998de709bd4e5f0f69713d26e2ee62ae) (unbounded_continuous_distributions.html)
-**normal_lupdf**: +**normal_lupdf**: - - [`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-429c956476257b277125a0f2bddd560aaa7416a6) + -
[`(reals y | reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-429c956476257b277125a0f2bddd560aaa7416a6) (unbounded_continuous_distributions.html)
-**normal_rng**: +**normal_rng**: - - [`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-a2ef357923cb90482b3d3a4e7a66b0a04b56f3fe) + -
[`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-a2ef357923cb90482b3d3a4e7a66b0a04b56f3fe) (unbounded_continuous_distributions.html)
-**not_a_number**: +**not_a_number**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-00757653dd74e4f55dcd63fbdfb21a9e5005469c) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-00757653dd74e4f55dcd63fbdfb21a9e5005469c) (real-valued_basic_functions.html)
-**num_elements**: +**num_elements**: - - [`(array[] T x) : int`](array_operations.qmd#index-entry-a7f3950f11e27f31d9607b74a4cc9d5201f6f5ba) - - [`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-ea9bb96c32abb986ac353999ee38effe98c2999e) - - [`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-18b5a5e8da0b97e5db61bc2558be5861bb0e60c9) - - [`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-5f67a5c5dc6caa692838121eb1be3a0294ad191f) - - [`(matrix x) : int`](matrix_operations.qmd#index-entry-77dd48e13c18141a06bb49ceb67e01b76c4e3fae) - - [`(row_vector x) : int`](matrix_operations.qmd#index-entry-25d1da3aed0f07d9c6a36b34c0d238d180ebc272) - - [`(vector x) : int`](matrix_operations.qmd#index-entry-9173ff057d7657581e5abf426a39637cb2339c11) + -
[`(array[] T x) : int`](array_operations.qmd#index-entry-a7f3950f11e27f31d9607b74a4cc9d5201f6f5ba) (array_operations.html)
+ -
[`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-ea9bb96c32abb986ac353999ee38effe98c2999e) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-18b5a5e8da0b97e5db61bc2558be5861bb0e60c9) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-5f67a5c5dc6caa692838121eb1be3a0294ad191f) (complex_matrix_operations.html)
+ -
[`(matrix x) : int`](matrix_operations.qmd#index-entry-77dd48e13c18141a06bb49ceb67e01b76c4e3fae) (matrix_operations.html)
+ -
[`(row_vector x) : int`](matrix_operations.qmd#index-entry-25d1da3aed0f07d9c6a36b34c0d238d180ebc272) (matrix_operations.html)
+ -
[`(vector x) : int`](matrix_operations.qmd#index-entry-9173ff057d7657581e5abf426a39637cb2339c11) (matrix_operations.html)
## O -**ode_adams**: +**ode_adams**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-0cbdc3972873453988201c42896556c64240fd04) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-0cbdc3972873453988201c42896556c64240fd04) (higher-order_functions.html)
-**ode_adams_tol**: +**ode_adams_tol**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-6272f555abc93dcbbf8700fbeafca26f4b6f686e) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-6272f555abc93dcbbf8700fbeafca26f4b6f686e) (higher-order_functions.html)
-**ode_adjoint_tol_ctl**: +**ode_adjoint_tol_ctl**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol_forward, data vector abs_tol_forward, data real rel_tol_backward, data vector abs_tol_backward, data real rel_tol_quadrature, data real abs_tol_qudrature, int max_num_steps, int num_steps_between_checkpoints, int interpolation_polynomial, int solver_forward, int solver_backward,...) : array[] vector`](higher-order_functions.qmd#index-entry-95a49804904581f863b2d682d1d17408cc0371d8) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol_forward, data vector abs_tol_forward, data real rel_tol_backward, data vector abs_tol_backward, data real rel_tol_quadrature, data real abs_tol_qudrature, int max_num_steps, int num_steps_between_checkpoints, int interpolation_polynomial, int solver_forward, int solver_backward,...) : array[] vector`](higher-order_functions.qmd#index-entry-95a49804904581f863b2d682d1d17408cc0371d8) (higher-order_functions.html)
-**ode_bdf**: +**ode_bdf**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-302230625fcf25f300cf21fa4b0f34e9494d3a53) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-302230625fcf25f300cf21fa4b0f34e9494d3a53) (higher-order_functions.html)
-**ode_bdf_tol**: +**ode_bdf_tol**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-a1ea8ce1da0b3666b341644d924730abb2caf7af) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-a1ea8ce1da0b3666b341644d924730abb2caf7af) (higher-order_functions.html)
-**ode_ckrk**: +**ode_ckrk**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-02a83fd8c68af0422903498868b0e1c9c2542659) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-02a83fd8c68af0422903498868b0e1c9c2542659) (higher-order_functions.html)
-**ode_ckrk_tol**: +**ode_ckrk_tol**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-25e82b14c8715c7f6c5fd13961ffa60016433854) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-25e82b14c8715c7f6c5fd13961ffa60016433854) (higher-order_functions.html)
-**ode_rk45**: +**ode_rk45**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-4a595847f7a33bc641756482fe60187677e31fa1) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, ...) : array[] vector`](higher-order_functions.qmd#index-entry-4a595847f7a33bc641756482fe60187677e31fa1) (higher-order_functions.html)
-**ode_rk45_tol**: +**ode_rk45_tol**: - - [`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-1fd0eab9e49603406a50ad94820da2fb10dec2bc) + -
[`(function ode, vector initial_state, real initial_time, array[] real times, data real rel_tol, data real abs_tol, int max_num_steps, ...) : array[] vector`](higher-order_functions.qmd#index-entry-1fd0eab9e49603406a50ad94820da2fb10dec2bc) (higher-order_functions.html)
-**one_hot_array**: +**one_hot_array**: - - [`(int n, int k) : array[] real`](matrix_operations.qmd#index-entry-268289da1aa3a477c94f93562ea8dec0d09ca486) + -
[`(int n, int k) : array[] real`](matrix_operations.qmd#index-entry-268289da1aa3a477c94f93562ea8dec0d09ca486) (matrix_operations.html)
-**one_hot_int_array**: +**one_hot_int_array**: - - [`(int n, int k) : array[] int`](matrix_operations.qmd#index-entry-0beac7fcfa02cd2f93d1869abaf3555fa0711440) + -
[`(int n, int k) : array[] int`](matrix_operations.qmd#index-entry-0beac7fcfa02cd2f93d1869abaf3555fa0711440) (matrix_operations.html)
-**one_hot_row_vector**: +**one_hot_row_vector**: - - [`(int n, int k) : row_vector`](matrix_operations.qmd#index-entry-0a0220657a7b045ad8375607c32be8215c237455) + -
[`(int n, int k) : row_vector`](matrix_operations.qmd#index-entry-0a0220657a7b045ad8375607c32be8215c237455) (matrix_operations.html)
-**one_hot_vector**: +**one_hot_vector**: - - [`(int K, int k) : vector`](matrix_operations.qmd#index-entry-ad02bb0cabeceb6ad40303c9ba844e75c5fab300) + -
[`(int K, int k) : vector`](matrix_operations.qmd#index-entry-ad02bb0cabeceb6ad40303c9ba844e75c5fab300) (matrix_operations.html)
-**ones_array**: +**ones_array**: - - [`(int n) : array[] real`](matrix_operations.qmd#index-entry-0fafc0a373e0e8f0bbaeee5c35eba8570f9149d9) + -
[`(int n) : array[] real`](matrix_operations.qmd#index-entry-0fafc0a373e0e8f0bbaeee5c35eba8570f9149d9) (matrix_operations.html)
-**ones_int_array**: +**ones_int_array**: - - [`(int n) : array[] int`](matrix_operations.qmd#index-entry-9105f9deb3c88299539acb48f505c2ecb81107f4) + -
[`(int n) : array[] int`](matrix_operations.qmd#index-entry-9105f9deb3c88299539acb48f505c2ecb81107f4) (matrix_operations.html)
-**ones_row_vector**: +**ones_row_vector**: - - [`(int n) : row_vector`](matrix_operations.qmd#index-entry-a8497a47aca811a739e649d1ce295d1629665664) + -
[`(int n) : row_vector`](matrix_operations.qmd#index-entry-a8497a47aca811a739e649d1ce295d1629665664) (matrix_operations.html)
-**ones_vector**: +**ones_vector**: - - [`(int n) : vector`](matrix_operations.qmd#index-entry-f291f3a346f24dfea23941e9dc9e908a2dfbe31d) + -
[`(int n) : vector`](matrix_operations.qmd#index-entry-f291f3a346f24dfea23941e9dc9e908a2dfbe31d) (matrix_operations.html)
-**operator!**: +**operator!**: - - [`(int x) : int`](real-valued_basic_functions.qmd#index-entry-079682d0e7e0678530187f5fc5e2b993f1b5b1cc) - - [`(real x) : int`](real-valued_basic_functions.qmd#index-entry-211d31dd129d2ce61f68b4264b9318aa39a096d7) + -
[`(int x) : int`](real-valued_basic_functions.qmd#index-entry-079682d0e7e0678530187f5fc5e2b993f1b5b1cc) (real-valued_basic_functions.html)
+ -
[`(real x) : int`](real-valued_basic_functions.qmd#index-entry-211d31dd129d2ce61f68b4264b9318aa39a096d7) (real-valued_basic_functions.html)
-**operator!=**: +**operator!=**: - - [`(complex x, complex y) : int`](complex-valued_basic_functions.qmd#index-entry-9d820ba333127706253b1578dc13615c5898dfe4) - - [`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-34c680d818a4a8758b819f7b8a3b11f1d1f094b4) - - [`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-3cc230ef52c7125f7fd034984257fb3b2e13bbcc) + -
[`(complex x, complex y) : int`](complex-valued_basic_functions.qmd#index-entry-9d820ba333127706253b1578dc13615c5898dfe4) (complex-valued_basic_functions.html)
+ -
[`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-34c680d818a4a8758b819f7b8a3b11f1d1f094b4) (real-valued_basic_functions.html)
+ -
[`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-3cc230ef52c7125f7fd034984257fb3b2e13bbcc) (real-valued_basic_functions.html)
-**operator%**: +**operator%**: - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-1a37a12af3bb33938a4e3fab2375e8f57617354e) + -
[`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-1a37a12af3bb33938a4e3fab2375e8f57617354e) (integer-valued_basic_functions.html)
-**operator%/%**: +**operator%/%**: - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-5c1d4a2c0b351939f98b1c7a20a25f07b08366ba) + -
[`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-5c1d4a2c0b351939f98b1c7a20a25f07b08366ba) (integer-valued_basic_functions.html)
-**operator&&**: +**operator&&**: - - [`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-705fd1857d26667bd15e9cbd54c1a605ce286b17) - - [`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-7fab4d7139fe3c56c90269284ac8fb2a27aa9c3b) + -
[`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-705fd1857d26667bd15e9cbd54c1a605ce286b17) (real-valued_basic_functions.html)
+ -
[`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-7fab4d7139fe3c56c90269284ac8fb2a27aa9c3b) (real-valued_basic_functions.html)
-**operator'**: +**operator'**: - - [`(complex_matrix x) : complex_matrix`](complex_matrix_operations.qmd#index-entry-091a4926b279f9df738ff9dcd356e2436c3f9485) - - [`(complex_row_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-ef45f4afc752618674b3095733d0dad1150a39fd) - - [`(complex_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-7b294083ea64b206b4b02446640de44855355156) - - [`(matrix x) : matrix`](matrix_operations.qmd#index-entry-794bf86d8a081a75147a013481f07740310bb0d8) - - [`(row_vector x) : vector`](matrix_operations.qmd#index-entry-e3432686a771bad98175ab4a594d8156ab915492) - - [`(vector x) : row_vector`](matrix_operations.qmd#index-entry-5b05ea20fccc5c44353c7f5813ec3ce694b07cb6) + -
[`(complex_matrix x) : complex_matrix`](complex_matrix_operations.qmd#index-entry-091a4926b279f9df738ff9dcd356e2436c3f9485) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-ef45f4afc752618674b3095733d0dad1150a39fd) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-7b294083ea64b206b4b02446640de44855355156) (complex_matrix_operations.html)
+ -
[`(matrix x) : matrix`](matrix_operations.qmd#index-entry-794bf86d8a081a75147a013481f07740310bb0d8) (matrix_operations.html)
+ -
[`(row_vector x) : vector`](matrix_operations.qmd#index-entry-e3432686a771bad98175ab4a594d8156ab915492) (matrix_operations.html)
+ -
[`(vector x) : row_vector`](matrix_operations.qmd#index-entry-5b05ea20fccc5c44353c7f5813ec3ce694b07cb6) (matrix_operations.html)
-**operator\***: +**operator\***: - - [`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-e3a6425a4fd372a6a28b66eb58c06245046f87ae) - - [`(complex x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a69bac506948c37d27beb39e793ff1339a67bf85) - - [`(complex x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-96bd6d9926f3cf86d4abdf08767a6078cd45be14) - - [`(complex x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-a79cd86a9e357f4daa3c2a357da7fe74a1591449) - - [`(complex_matrix x, complex y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ec01c1a12f2dee572064680e87666ff43581e98e) - - [`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-e6c145519223a7e32befa818a711dd8470e7264d) - - [`(complex_matrix x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-7e59bb7495322cfae3a60e7cd858c8ea8ad00be4) - - [`(complex_row_vector x, complex y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-989f9db43310c8b2278983062fe9699e275f0f4b) - - [`(complex_row_vector x, complex_matrix y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-eb9d524d09ed2def387f6d32e50434f1d04bb45a) - - [`(complex_row_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-6a24a75ba519ef262ca78b4f7e1077124ff4e67b) - - [`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-23a93f16e6035cc32b84ecf97c32845e9008702c) - - [`(complex_vector x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-6036495abafc183b219e271873881cec3f6e46a3) - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-74f2ac23b7142dcb99d72c2d668ea84d112f43ef) - - [`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-a87089afcc4f8cc865a9447f93284dd4a7903eaf) - - [`(matrix x, real y) : matrix`](matrix_operations.qmd#index-entry-7c526c1ddbd012a188345676d03d7d8e52a2f4af) - - [`(matrix x, vector y) : vector`](matrix_operations.qmd#index-entry-c61d79dac022af07a0f553fb494511099410cdac) - - [`(real x, matrix y) : matrix`](matrix_operations.qmd#index-entry-662e0b2447d3b372fc219293e38410d49bad1b7b) - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-08f55cee893fdef254457be66b7a82c1d942ad0e) - - [`(real x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-84a0cd07fdb794ec75d40dfa3c1638586ce59f1a) - - [`(real x, vector y) : vector`](matrix_operations.qmd#index-entry-af34e073da12073d94a55fde49701a8f65786b67) - - [`(row_vector x, matrix y) : row_vector`](matrix_operations.qmd#index-entry-0d741e9840edb32e9575051107190f0632ec5dd3) - - [`(row_vector x, real y) : row_vector`](matrix_operations.qmd#index-entry-852b4c73c95c85062105d4a058743e342d831c9a) - - [`(row_vector x, vector y) : real`](matrix_operations.qmd#index-entry-c64d64dd72ff726168c121c89601f1e1fa602276) - - [`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-29c74f1694c2364957ad8d79e09cfb3ad47e775b) - - [`(vector x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-3669aca452e27a8b48f0358b3d3103bc4d0d9530) + -
[`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-e3a6425a4fd372a6a28b66eb58c06245046f87ae) (complex-valued_basic_functions.html)
+ -
[`(complex x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-a69bac506948c37d27beb39e793ff1339a67bf85) (complex_matrix_operations.html)
+ -
[`(complex x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-96bd6d9926f3cf86d4abdf08767a6078cd45be14) (complex_matrix_operations.html)
+ -
[`(complex x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-a79cd86a9e357f4daa3c2a357da7fe74a1591449) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ec01c1a12f2dee572064680e87666ff43581e98e) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-e6c145519223a7e32befa818a711dd8470e7264d) (complex_matrix_operations.html)
+ -
[`(complex_matrix x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-7e59bb7495322cfae3a60e7cd858c8ea8ad00be4) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-989f9db43310c8b2278983062fe9699e275f0f4b) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_matrix y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-eb9d524d09ed2def387f6d32e50434f1d04bb45a) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_vector y) : complex`](complex_matrix_operations.qmd#index-entry-6a24a75ba519ef262ca78b4f7e1077124ff4e67b) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-23a93f16e6035cc32b84ecf97c32845e9008702c) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_row_vector y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-6036495abafc183b219e271873881cec3f6e46a3) (complex_matrix_operations.html)
+ -
[`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-74f2ac23b7142dcb99d72c2d668ea84d112f43ef) (integer-valued_basic_functions.html)
+ -
[`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-a87089afcc4f8cc865a9447f93284dd4a7903eaf) (matrix_operations.html)
+ -
[`(matrix x, real y) : matrix`](matrix_operations.qmd#index-entry-7c526c1ddbd012a188345676d03d7d8e52a2f4af) (matrix_operations.html)
+ -
[`(matrix x, vector y) : vector`](matrix_operations.qmd#index-entry-c61d79dac022af07a0f553fb494511099410cdac) (matrix_operations.html)
+ -
[`(real x, matrix y) : matrix`](matrix_operations.qmd#index-entry-662e0b2447d3b372fc219293e38410d49bad1b7b) (matrix_operations.html)
+ -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-08f55cee893fdef254457be66b7a82c1d942ad0e) (real-valued_basic_functions.html)
+ -
[`(real x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-84a0cd07fdb794ec75d40dfa3c1638586ce59f1a) (matrix_operations.html)
+ -
[`(real x, vector y) : vector`](matrix_operations.qmd#index-entry-af34e073da12073d94a55fde49701a8f65786b67) (matrix_operations.html)
+ -
[`(row_vector x, matrix y) : row_vector`](matrix_operations.qmd#index-entry-0d741e9840edb32e9575051107190f0632ec5dd3) (matrix_operations.html)
+ -
[`(row_vector x, real y) : row_vector`](matrix_operations.qmd#index-entry-852b4c73c95c85062105d4a058743e342d831c9a) (matrix_operations.html)
+ -
[`(row_vector x, vector y) : real`](matrix_operations.qmd#index-entry-c64d64dd72ff726168c121c89601f1e1fa602276) (matrix_operations.html)
+ -
[`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-29c74f1694c2364957ad8d79e09cfb3ad47e775b) (matrix_operations.html)
+ -
[`(vector x, row_vector y) : matrix`](matrix_operations.qmd#index-entry-3669aca452e27a8b48f0358b3d3103bc4d0d9530) (matrix_operations.html)
-**operator\*=**: +**operator\*=**: - - [`(complex x, complex y) : void`](complex-valued_basic_functions.qmd#index-entry-0c45a357fc47d9ccf6a7fb7780ee7d1ada6cc2bd) - - [`(T x, U y) : void`](compound_arithmetic_and_assignment.qmd#index-entry-518f24c806ec47af7c7aa48506a1cd57ef3676df) + -
[`(complex x, complex y) : void`](complex-valued_basic_functions.qmd#index-entry-0c45a357fc47d9ccf6a7fb7780ee7d1ada6cc2bd) (complex-valued_basic_functions.html)
+ -
[`(T x, U y) : void`](compound_arithmetic_and_assignment.qmd#index-entry-518f24c806ec47af7c7aa48506a1cd57ef3676df) (compound_arithmetic_and_assignment.html)
-**operator+**: +**operator+**: - - [`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-b67896f1b7c21199de738af1835d35fe36635012) - - [`(complex x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-3cbf469cad59cf318ccf139f90a016fc4bfe3db1) - - [`(complex x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-cf423b623dd5296c4bed0996e11793cfff99b12b) - - [`(complex x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-5a80c22fc9ab785c199e3ea9ba3903429f3308f9) - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-5fcb0e5cdd3aa28c383cc6808af8d0523f581e11) - - [`(complex_matrix x, complex y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-0b1ee3eff7624a28d75d9cbdf065d8cb936c401a) - - [`(complex_matrix x, complex_matrix y) : complex_matrix`](complex_matrix_operations.qmd#index-entry-1c6e89ffde910406a3f594d11872988647733d8f) - - [`(complex_row_vector x, complex y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-83570c79a3f99ef98736dec5190a738977bf1986) - - [`(complex_row_vector x, complex_row_vector y) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-e4a7e3cd9cefa9964eb063b241f963f7b27007e7) - - [`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-e2a4a5c6172fcff3b822f22f17e4012616aa798b) - - [`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-c4da2f5e129a64de4d83c12e2a8d2d79d7cd1619) - - [`(int x) : int`](integer-valued_basic_functions.qmd#index-entry-1b4db535db6b20e4b8af55f41af6ee4d6b5df6bd) - - [`(int x, int y) : int`](integer-valued_basic_functions.qmd#index-entry-2e81f507ecb4144548330dac4d8bbc43686cd3e2) - - [`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-718549a6ddfc2c775f69b8bc7a28fc7c053a7fbe) - - [`(matrix x, real y) : matrix`](matrix_operations.qmd#index-entry-77931799ac0a444f9530777cce44cb987abf32cb) - - [`(real x) : real`](real-valued_basic_functions.qmd#index-entry-54245a5adfc60f65ced33cbdf4571aeb7536afc3) - - [`(real x, matrix y) : matrix`](matrix_operations.qmd#index-entry-0465a61949555ef4ef44514ccba8174500deeefa) - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-4b2af0abc1a2c8338794b49b801ff4d63be2f574) - - [`(real x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-fd064b77a97b1ec9168687d5a25cde11da015591) - - [`(real x, vector y) : vector`](matrix_operations.qmd#index-entry-f9354975ff6bc2974a4d1661855cea524ca49b50) - - [`(row_vector x, real y) : row_vector`](matrix_operations.qmd#index-entry-26044cd5506e5c4fc2579fc6466dd3f81d6408ce) - - [`(row_vector x, row_vector y) : row_vector`](matrix_operations.qmd#index-entry-33e5719f2f10f7ff91219c35213757ec24c6b306) - - [`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-925b4d95d12aaad5ae3a3d5a5b8d06d9f36c3b9b) - - [`(vector x, vector y) : vector`](matrix_operations.qmd#index-entry-1a0c872aa1e302e3fd5a2a167b97e3ca6719d10c) - - -**operator+=**: - - - [`(complex x, complex y) : void`](complex-valued_basic_functions.qmd#index-entry-cc6740802b1a8a2be0ba358ef3799d66e260a341) - 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[`(vector x, real y) : vector`](matrix_operations.qmd#index-entry-66caea638b41f99f47c90fbf9f08a165f7bc312b) (matrix_operations.html)
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[`(complex_vector x, complex y) : complex_vector`](complex_matrix_operations.qmd#index-entry-a7f9b0419a421d43341556c8b8823bb6737fa14c) (complex_matrix_operations.html)
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[`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-4d24b6cb15adf28b25dc40a155bf4c76980d37d0) (complex_matrix_operations.html)
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[`(matrix x, matrix y) : matrix`](matrix_operations.qmd#index-entry-ee33dd887a5da3fafc96e59aa3cd75c6d5051cea) (matrix_operations.html)
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[`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-47bdb3c70b9ec7cdf0f976442ca728e5cd85ea39) (real-valued_basic_functions.html)
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[`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-9d2656ef1df47087d225d2cfd011938c49677d09) (real-valued_basic_functions.html)
+ -
[`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-29ba70695594992fa689387dd1f623e794aa8ef2) (real-valued_basic_functions.html)
-**operator\\**: +**operator\\**: - - [`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-1a08f375cfc4067e97bfed98fae8490e8b6f0698) - - [`(matrix A, vector b) : vector`](matrix_operations.qmd#index-entry-fc754907294117fa562e6fcaf1b8afcf0d2efabd) + -
[`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-1a08f375cfc4067e97bfed98fae8490e8b6f0698) (matrix_operations.html)
+ -
[`(matrix A, vector b) : vector`](matrix_operations.qmd#index-entry-fc754907294117fa562e6fcaf1b8afcf0d2efabd) (matrix_operations.html)
-**operator^**: +**operator^**: - - [`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-25f7fc457739ce80dced6697c7730e60913ababa) - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-329b197f72b50051c6de252c7dd804a96a399051) + -
[`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-25f7fc457739ce80dced6697c7730e60913ababa) (complex-valued_basic_functions.html)
+ -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-329b197f72b50051c6de252c7dd804a96a399051) (real-valued_basic_functions.html)
-**operator||**: +**operator||**: - - [`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-8fbd92b4b30a50912cd8d6602927ee93cf00c392) - - [`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-d1b0b32e522a6d270bdccaa3b56f1dfaef2dfa1f) + -
[`(int x, int y) : int`](real-valued_basic_functions.qmd#index-entry-8fbd92b4b30a50912cd8d6602927ee93cf00c392) (real-valued_basic_functions.html)
+ -
[`(real x, real y) : int`](real-valued_basic_functions.qmd#index-entry-d1b0b32e522a6d270bdccaa3b56f1dfaef2dfa1f) (real-valued_basic_functions.html)
-**ordered_logistic**: +**ordered_logistic**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-2bffcaec141463bcf3650a49ab910f0e9b02c0b0) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-2bffcaec141463bcf3650a49ab910f0e9b02c0b0) (bounded_discrete_distributions.html)
-**ordered_logistic_glm_lpmf**: +**ordered_logistic_glm_lpmf**: - - [`(array[] int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-c3713f9c51b422f753ef46eab1b6000b57a85f83) - - [`(array[] int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-13f1725d36ca9cd5b34e0f7533be511bf7a2ec70) - - [`(int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-c11116cef97e5808f28ca2124ff702866ce897e4) - - [`(int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-2c635de14c16f079f1741deefe7257e6a42810dc) + -
[`(array[] int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-c3713f9c51b422f753ef46eab1b6000b57a85f83) (bounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-13f1725d36ca9cd5b34e0f7533be511bf7a2ec70) (bounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-c11116cef97e5808f28ca2124ff702866ce897e4) (bounded_discrete_distributions.html)
+ -
[`(int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-2c635de14c16f079f1741deefe7257e6a42810dc) (bounded_discrete_distributions.html)
-**ordered_logistic_glm_lupmf**: +**ordered_logistic_glm_lupmf**: - - [`(array[] int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-55686d3ab941df81acce76e8e1f880716336638b) - - [`(array[] int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-1c7b2fb2eee1fbd25742cd97c0396297b00db969) - - [`(int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-757d0591bda8f231fba81cb4faa1d71ba85deb4f) - - [`(int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-5c21721436d27b4570a4356fcf87939c6695e2bc) + -
[`(array[] int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-55686d3ab941df81acce76e8e1f880716336638b) (bounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-1c7b2fb2eee1fbd25742cd97c0396297b00db969) (bounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-757d0591bda8f231fba81cb4faa1d71ba85deb4f) (bounded_discrete_distributions.html)
+ -
[`(int y | row_vector x, vector beta, vector c) : real`](bounded_discrete_distributions.qmd#index-entry-5c21721436d27b4570a4356fcf87939c6695e2bc) (bounded_discrete_distributions.html)
-**ordered_logistic_lpmf**: +**ordered_logistic_lpmf**: - - [`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-8ec1ec8642d86b6ff109ab22859c8bc55de49be0) + -
[`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-8ec1ec8642d86b6ff109ab22859c8bc55de49be0) (bounded_discrete_distributions.html)
-**ordered_logistic_lupmf**: +**ordered_logistic_lupmf**: - - [`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-56bd6927e7b4b6a5fd660bda74057a8ad1712bb5) + -
[`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-56bd6927e7b4b6a5fd660bda74057a8ad1712bb5) (bounded_discrete_distributions.html)
-**ordered_logistic_rng**: +**ordered_logistic_rng**: - - [`(real eta, vector c) : int`](bounded_discrete_distributions.qmd#index-entry-27848db7ec1c230a757f0fab71e6bfa2bd6d155e) + -
[`(real eta, vector c) : int`](bounded_discrete_distributions.qmd#index-entry-27848db7ec1c230a757f0fab71e6bfa2bd6d155e) (bounded_discrete_distributions.html)
-**ordered_probit**: +**ordered_probit**: - - [distribution statement](bounded_discrete_distributions.qmd#index-entry-4a767db733c5f8854e1a70dae8c94ad673adf650) + -
[distribution statement](bounded_discrete_distributions.qmd#index-entry-4a767db733c5f8854e1a70dae8c94ad673adf650) (bounded_discrete_distributions.html)
-**ordered_probit_lpmf**: +**ordered_probit_lpmf**: - - [`(ints k | real eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-bb0439ad56fbb41b1ca9f56fcb28b32383d9f6b8) - - [`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-e9015f46859715b88bc9f7f4bd6b7f1f9ffc51c4) + -
[`(ints k | real eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-bb0439ad56fbb41b1ca9f56fcb28b32383d9f6b8) (bounded_discrete_distributions.html)
+ -
[`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-e9015f46859715b88bc9f7f4bd6b7f1f9ffc51c4) (bounded_discrete_distributions.html)
-**ordered_probit_lupmf**: +**ordered_probit_lupmf**: - - [`(ints k | real eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-2099a3d4968bfa03c46d810ff23a8b1279db770d) - - [`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-3cd2703fe784d2f29b24fb4f3d897ea2b5264da2) + -
[`(ints k | real eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-2099a3d4968bfa03c46d810ff23a8b1279db770d) (bounded_discrete_distributions.html)
+ -
[`(ints k | vector eta, vectors c) : real`](bounded_discrete_distributions.qmd#index-entry-3cd2703fe784d2f29b24fb4f3d897ea2b5264da2) (bounded_discrete_distributions.html)
-**ordered_probit_rng**: +**ordered_probit_rng**: - - [`(real eta, vector c) : int`](bounded_discrete_distributions.qmd#index-entry-ce1eb98cf9c98edbf6d662f465f30c9816c1d6fe) + -
[`(real eta, vector c) : int`](bounded_discrete_distributions.qmd#index-entry-ce1eb98cf9c98edbf6d662f465f30c9816c1d6fe) (bounded_discrete_distributions.html)
-**owens_t**: +**owens_t**: - - [`(real h, real a) : real`](real-valued_basic_functions.qmd#index-entry-1ebaab3f9c8786de6e45b245eb0557156a1b2a77) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-8ac2b39d27b678ab373ba570f18b633093c6511d) + -
[`(real h, real a) : real`](real-valued_basic_functions.qmd#index-entry-1ebaab3f9c8786de6e45b245eb0557156a1b2a77) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-8ac2b39d27b678ab373ba570f18b633093c6511d) (real-valued_basic_functions.html)
## P -**pareto**: +**pareto**: - - [distribution statement](positive_lower-bounded_distributions.qmd#index-entry-3868686bd088fa3182f600afc3a7982dfadfd439) + -
[distribution statement](positive_lower-bounded_distributions.qmd#index-entry-3868686bd088fa3182f600afc3a7982dfadfd439) (positive_lower-bounded_distributions.html)
-**pareto_cdf**: +**pareto_cdf**: - - [`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-4abdf5cdce078735156bd724266dc2ea7f8b1d55) + -
[`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-4abdf5cdce078735156bd724266dc2ea7f8b1d55) (positive_lower-bounded_distributions.html)
-**pareto_lccdf**: +**pareto_lccdf**: - - [`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-579987e1abda763d062fecdf84a43f9c43e7b2fd) + -
[`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-579987e1abda763d062fecdf84a43f9c43e7b2fd) (positive_lower-bounded_distributions.html)
-**pareto_lcdf**: +**pareto_lcdf**: - - [`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-4fb849c817175501195c6219da4b7f1cecad0b01) + -
[`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-4fb849c817175501195c6219da4b7f1cecad0b01) (positive_lower-bounded_distributions.html)
-**pareto_lpdf**: +**pareto_lpdf**: - - [`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-2b559a321ccbd5c4df2c32eafefcb7ed61d8497f) + -
[`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-2b559a321ccbd5c4df2c32eafefcb7ed61d8497f) (positive_lower-bounded_distributions.html)
-**pareto_lupdf**: +**pareto_lupdf**: - - [`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-9908f14844c4a9e7fe15c5add847cd1baf8fa56c) + -
[`(reals y | reals y_min, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-9908f14844c4a9e7fe15c5add847cd1baf8fa56c) (positive_lower-bounded_distributions.html)
-**pareto_rng**: +**pareto_rng**: - - [`(reals y_min, reals alpha) : R`](positive_lower-bounded_distributions.qmd#index-entry-33472469dac2a620b0f461365535f1f605f15104) + -
[`(reals y_min, reals alpha) : R`](positive_lower-bounded_distributions.qmd#index-entry-33472469dac2a620b0f461365535f1f605f15104) (positive_lower-bounded_distributions.html)
-**pareto_type_2**: +**pareto_type_2**: - - [distribution statement](positive_lower-bounded_distributions.qmd#index-entry-ae502c44f119dc495e9e3cb809d28da32af6d702) + -
[distribution statement](positive_lower-bounded_distributions.qmd#index-entry-ae502c44f119dc495e9e3cb809d28da32af6d702) (positive_lower-bounded_distributions.html)
-**pareto_type_2_cdf**: +**pareto_type_2_cdf**: - - [`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-faf0b6f41480a1c429a34e564f63e9004c93fab1) + -
[`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-faf0b6f41480a1c429a34e564f63e9004c93fab1) (positive_lower-bounded_distributions.html)
-**pareto_type_2_lccdf**: +**pareto_type_2_lccdf**: - - [`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-1df9330c369a563524ac6a3256c1a18befe4f9f8) + -
[`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-1df9330c369a563524ac6a3256c1a18befe4f9f8) (positive_lower-bounded_distributions.html)
-**pareto_type_2_lcdf**: +**pareto_type_2_lcdf**: - - [`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-207a8840717cf656dcedb5daad63e6d01e8af9be) + -
[`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-207a8840717cf656dcedb5daad63e6d01e8af9be) (positive_lower-bounded_distributions.html)
-**pareto_type_2_lpdf**: +**pareto_type_2_lpdf**: - - [`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-a01b65ffac6ae18cc37fa6af7c644e99276c1787) + -
[`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-a01b65ffac6ae18cc37fa6af7c644e99276c1787) (positive_lower-bounded_distributions.html)
-**pareto_type_2_lupdf**: +**pareto_type_2_lupdf**: - - [`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-62575702409a828f934e569a6d98dffa197f2b93) + -
[`(reals y | reals mu, reals lambda, reals alpha) : real`](positive_lower-bounded_distributions.qmd#index-entry-62575702409a828f934e569a6d98dffa197f2b93) (positive_lower-bounded_distributions.html)
-**pareto_type_2_rng**: +**pareto_type_2_rng**: - - [`(reals mu, reals lambda, reals alpha) : R`](positive_lower-bounded_distributions.qmd#index-entry-53cbc03223fcc002f296906a7751b5808b49507a) + -
[`(reals mu, reals lambda, reals alpha) : R`](positive_lower-bounded_distributions.qmd#index-entry-53cbc03223fcc002f296906a7751b5808b49507a) (positive_lower-bounded_distributions.html)
-**Phi**: +**Phi**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-2a50a935e0b3ed75c3a19e2bee25f3a01c7799f7) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-2a50a935e0b3ed75c3a19e2bee25f3a01c7799f7) (real-valued_basic_functions.html)
-**Phi_approx**: +**Phi_approx**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1b36b9b4f834de053d1a484782736f41af7b107e) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1b36b9b4f834de053d1a484782736f41af7b107e) (real-valued_basic_functions.html)
-**pi**: +**pi**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-53d994dc279b92ee9a153eb72068c45e7587230e) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-53d994dc279b92ee9a153eb72068c45e7587230e) (real-valued_basic_functions.html)
-**poisson**: +**poisson**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-149c7a2f2ae0aede0ae6b19854be4a72ba136d10) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-149c7a2f2ae0aede0ae6b19854be4a72ba136d10) (unbounded_discrete_distributions.html)
-**poisson_cdf**: +**poisson_cdf**: - - [`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-b9228882bc1807740bfbe2278fe3865895ddc14f) + -
[`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-b9228882bc1807740bfbe2278fe3865895ddc14f) (unbounded_discrete_distributions.html)
-**poisson_lccdf**: +**poisson_lccdf**: - - [`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-f630914d24a4ab0a6d95f950289e5a89655ee0b5) + -
[`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-f630914d24a4ab0a6d95f950289e5a89655ee0b5) (unbounded_discrete_distributions.html)
-**poisson_lcdf**: +**poisson_lcdf**: - - [`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-c53c3f02b2a02ee52cf555667086bbe0d63d9893) + -
[`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-c53c3f02b2a02ee52cf555667086bbe0d63d9893) (unbounded_discrete_distributions.html)
-**poisson_log**: +**poisson_log**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-48321c3e1d3764b7424c6aa9000bfb2c7c135d49) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-48321c3e1d3764b7424c6aa9000bfb2c7c135d49) (unbounded_discrete_distributions.html)
-**poisson_log_glm**: +**poisson_log_glm**: - - [distribution statement](unbounded_discrete_distributions.qmd#index-entry-6a7861af018d1e99d1f24782d56214c5b92e7586) + -
[distribution statement](unbounded_discrete_distributions.qmd#index-entry-6a7861af018d1e99d1f24782d56214c5b92e7586) (unbounded_discrete_distributions.html)
-**poisson_log_glm_lpmf**: +**poisson_log_glm_lpmf**: - - [`(array[] int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-9ccc16b1cd683cb83b9f375ecf6d419b4b28ad2e) - - [`(array[] int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-eba869933862786def5f0691fd7751eeb0de388f) - - [`(array[] int y | row_vector x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-5edf084bfc5e8e7f2942c123d2485b9947832b4a) - - [`(array[] int y | row_vector x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-83fff7e4697319fe19b71c0eecbdf5ac8049b7cb) - - [`(int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-63439a9c4647ac7c084fdb2e91704175532de973) - - [`(int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-809af19433732f5658706fbd90b7e3489497b084) + -
[`(array[] int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-9ccc16b1cd683cb83b9f375ecf6d419b4b28ad2e) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-eba869933862786def5f0691fd7751eeb0de388f) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-5edf084bfc5e8e7f2942c123d2485b9947832b4a) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-83fff7e4697319fe19b71c0eecbdf5ac8049b7cb) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-63439a9c4647ac7c084fdb2e91704175532de973) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-809af19433732f5658706fbd90b7e3489497b084) (unbounded_discrete_distributions.html)
-**poisson_log_glm_lupmf**: +**poisson_log_glm_lupmf**: - - [`(array[] int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-a22ac3bb5bf0da63d28e08cceb394ea47b6f355b) - - [`(array[] int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-edf1d3e6f8239fe43a077fe8e6dfdb7735799c66) - - [`(array[] int y | row_vector x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-279c01365489bac4622e7dcfcc8075202555568c) - - [`(array[] int y | row_vector x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-f817a209ecaeb8259b7e13294695ad91e1bac17b) - - [`(int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-f122468454f01edf31a51909ec8967c9de864cf3) - - [`(int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-8754addaa08a378fc56a498e81745574e870f6fb) + -
[`(array[] int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-a22ac3bb5bf0da63d28e08cceb394ea47b6f355b) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-edf1d3e6f8239fe43a077fe8e6dfdb7735799c66) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-279c01365489bac4622e7dcfcc8075202555568c) (unbounded_discrete_distributions.html)
+ -
[`(array[] int y | row_vector x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-f817a209ecaeb8259b7e13294695ad91e1bac17b) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, real alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-f122468454f01edf31a51909ec8967c9de864cf3) (unbounded_discrete_distributions.html)
+ -
[`(int y | matrix x, vector alpha, vector beta) : real`](unbounded_discrete_distributions.qmd#index-entry-8754addaa08a378fc56a498e81745574e870f6fb) (unbounded_discrete_distributions.html)
-**poisson_log_lpmf**: +**poisson_log_lpmf**: - - [`(ints n | reals alpha) : real`](unbounded_discrete_distributions.qmd#index-entry-0a17b71120ddbfe9f78828a8db8ac327d7dfe433) + -
[`(ints n | reals alpha) : real`](unbounded_discrete_distributions.qmd#index-entry-0a17b71120ddbfe9f78828a8db8ac327d7dfe433) (unbounded_discrete_distributions.html)
-**poisson_log_lupmf**: +**poisson_log_lupmf**: - - [`(ints n | reals alpha) : real`](unbounded_discrete_distributions.qmd#index-entry-6b7b04889612003d401cf29b1505e899a5ac3bdf) + -
[`(ints n | reals alpha) : real`](unbounded_discrete_distributions.qmd#index-entry-6b7b04889612003d401cf29b1505e899a5ac3bdf) (unbounded_discrete_distributions.html)
-**poisson_log_rng**: +**poisson_log_rng**: - - [`(reals alpha) : R`](unbounded_discrete_distributions.qmd#index-entry-2698e8369a4abee3bff347589811f0b59008cd62) + -
[`(reals alpha) : R`](unbounded_discrete_distributions.qmd#index-entry-2698e8369a4abee3bff347589811f0b59008cd62) (unbounded_discrete_distributions.html)
-**poisson_lpmf**: +**poisson_lpmf**: - - [`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-468e745a522407843e4e4e0b5d50391126cfe3d6) + -
[`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-468e745a522407843e4e4e0b5d50391126cfe3d6) (unbounded_discrete_distributions.html)
-**poisson_lupmf**: +**poisson_lupmf**: - - [`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-ec57a3b0e25d5e9dd5cd37c27f9557e8123a4b4a) + -
[`(ints n | reals lambda) : real`](unbounded_discrete_distributions.qmd#index-entry-ec57a3b0e25d5e9dd5cd37c27f9557e8123a4b4a) (unbounded_discrete_distributions.html)
-**poisson_rng**: +**poisson_rng**: - - [`(reals lambda) : R`](unbounded_discrete_distributions.qmd#index-entry-08d9cd65c9ed1ce8f26288c3f3c41ad143ddd486) + -
[`(reals lambda) : R`](unbounded_discrete_distributions.qmd#index-entry-08d9cd65c9ed1ce8f26288c3f3c41ad143ddd486) (unbounded_discrete_distributions.html)
-**polar**: +**polar**: - - [`(real r, real theta) : complex`](complex-valued_basic_functions.qmd#index-entry-267e629612ebf97b806525573c76f11e23005e4a) + -
[`(real r, real theta) : complex`](complex-valued_basic_functions.qmd#index-entry-267e629612ebf97b806525573c76f11e23005e4a) (complex-valued_basic_functions.html)
-**positive_infinity**: +**positive_infinity**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-21afff517501f022247efe89c81a255a74533422) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-21afff517501f022247efe89c81a255a74533422) (real-valued_basic_functions.html)
-**pow**: +**pow**: - - [`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-a687c481b458dcd50e13b27c0423402b6332fc08) - - [`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-0882f3a0b5f515684dd2a29821a274a09ada9426) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-c9ec850adf117cff8e4f8da2a8287b92a152b481) - - [`(T1 x, T2 y) : Z`](complex-valued_basic_functions.qmd#index-entry-24c507386fa0ba9857a2bc0d50a9e2553e9ceba6) + -
[`(complex x, complex y) : complex`](complex-valued_basic_functions.qmd#index-entry-a687c481b458dcd50e13b27c0423402b6332fc08) (complex-valued_basic_functions.html)
+ -
[`(real x, real y) : real`](real-valued_basic_functions.qmd#index-entry-0882f3a0b5f515684dd2a29821a274a09ada9426) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-c9ec850adf117cff8e4f8da2a8287b92a152b481) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : Z`](complex-valued_basic_functions.qmd#index-entry-24c507386fa0ba9857a2bc0d50a9e2553e9ceba6) (complex-valued_basic_functions.html)
-**print**: +**print**: - - [`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-61af0108923d685571278dd77b2b31e38e67397a) + -
[`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-61af0108923d685571278dd77b2b31e38e67397a) (void_functions.html)
-**prod**: +**prod**: - - [`(array[] int x) : real`](array_operations.qmd#index-entry-69d45ac78302f42fc87a23263c5230e4ee093a6e) - - [`(array[] real x) : real`](array_operations.qmd#index-entry-936503ecb56cc2f9aa31395e3b80d5dd901f14ab) - - [`(complex_matrix x) : complex`](complex_matrix_operations.qmd#index-entry-2c4545b2f6cd6bbf4e42a4d446d210160e082d42) - - [`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-5353a09f94f67878ef023d0c25bdf91d78c1cfaa) - - [`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-12d6f5e8068b2b8308d32394e6debc2fa118e082) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-b45dad30f80e5937e91c940a770331aae131753c) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-c081c52af0fe73a003a0a406a8378cde350a34bf) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-9713d871d72b91892fb1be528d008fcb62d40ba7) + -
[`(array[] int x) : real`](array_operations.qmd#index-entry-69d45ac78302f42fc87a23263c5230e4ee093a6e) (array_operations.html)
+ -
[`(array[] real x) : real`](array_operations.qmd#index-entry-936503ecb56cc2f9aa31395e3b80d5dd901f14ab) (array_operations.html)
+ -
[`(complex_matrix x) : complex`](complex_matrix_operations.qmd#index-entry-2c4545b2f6cd6bbf4e42a4d446d210160e082d42) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-5353a09f94f67878ef023d0c25bdf91d78c1cfaa) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-12d6f5e8068b2b8308d32394e6debc2fa118e082) (complex_matrix_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-b45dad30f80e5937e91c940a770331aae131753c) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-c081c52af0fe73a003a0a406a8378cde350a34bf) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-9713d871d72b91892fb1be528d008fcb62d40ba7) (matrix_operations.html)
-**proj**: +**proj**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8b9fe1df9b2e6d862d634979cd5a62478d612669) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8b9fe1df9b2e6d862d634979cd5a62478d612669) (complex-valued_basic_functions.html)
## Q -**qr**: +**qr**: - - [`(matrix A) : tuple(matrix, matrix)`](matrix_operations.qmd#index-entry-0f3b3496deb99ba4839dce3aea55e6de916877e0) + -
[`(matrix A) : tuple(matrix, matrix)`](matrix_operations.qmd#index-entry-0f3b3496deb99ba4839dce3aea55e6de916877e0) (matrix_operations.html)
-**qr_Q**: +**qr_Q**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-ecf3d80487f50dec1b5d8f7309ae1b12124339ee) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-ecf3d80487f50dec1b5d8f7309ae1b12124339ee) (matrix_operations.html)
-**qr_R**: +**qr_R**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-b8d888170b3dfed1c077267a9a01cb4496d276f5) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-b8d888170b3dfed1c077267a9a01cb4496d276f5) (matrix_operations.html)
-**qr_thin**: +**qr_thin**: - - [`(matrix A) : tuple(matrix, matrix)`](matrix_operations.qmd#index-entry-01eb10e298ec5e0b2570e847ea477501b645f229) + -
[`(matrix A) : tuple(matrix, matrix)`](matrix_operations.qmd#index-entry-01eb10e298ec5e0b2570e847ea477501b645f229) (matrix_operations.html)
-**qr_thin_Q**: +**qr_thin_Q**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-00071108ad7f8a1ecce0c8659b622ad0c7e244b7) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-00071108ad7f8a1ecce0c8659b622ad0c7e244b7) (matrix_operations.html)
-**qr_thin_R**: +**qr_thin_R**: - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-854d13c8d7fed0092f63b68aed49a27b3f7fd886) + -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-854d13c8d7fed0092f63b68aed49a27b3f7fd886) (matrix_operations.html)
-**quad_form**: +**quad_form**: - - [`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-0cac546f1a4dfcfd8676f091dc0f7ab8cf808e4d) - - [`(matrix A, vector B) : real`](matrix_operations.qmd#index-entry-7d865d93151dbb42928e39384a33278c4695d490) + -
[`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-0cac546f1a4dfcfd8676f091dc0f7ab8cf808e4d) (matrix_operations.html)
+ -
[`(matrix A, vector B) : real`](matrix_operations.qmd#index-entry-7d865d93151dbb42928e39384a33278c4695d490) (matrix_operations.html)
-**quad_form_diag**: +**quad_form_diag**: - - [`(matrix m, row_vector rv) : matrix`](matrix_operations.qmd#index-entry-4c9654c4a3b4068858d9351459b026a697f02b8e) - - [`(matrix m, vector v) : matrix`](matrix_operations.qmd#index-entry-7d5c708ffbdc829d13ee747d32cdeb5f6b5c5976) + -
[`(matrix m, row_vector rv) : matrix`](matrix_operations.qmd#index-entry-4c9654c4a3b4068858d9351459b026a697f02b8e) (matrix_operations.html)
+ -
[`(matrix m, vector v) : matrix`](matrix_operations.qmd#index-entry-7d5c708ffbdc829d13ee747d32cdeb5f6b5c5976) (matrix_operations.html)
-**quad_form_sym**: +**quad_form_sym**: - - [`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-cb6d97ec303631d01e1fbf4737567987878d14b2) - - [`(matrix A, vector B) : real`](matrix_operations.qmd#index-entry-362d5553d7ff140b2163b35fed3667b17ad4c3d3) + -
[`(matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-cb6d97ec303631d01e1fbf4737567987878d14b2) (matrix_operations.html)
+ -
[`(matrix A, vector B) : real`](matrix_operations.qmd#index-entry-362d5553d7ff140b2163b35fed3667b17ad4c3d3) (matrix_operations.html)
-**quantile**: +**quantile**: - - [`(data array[] real x, data array[] real p) : array[] real`](array_operations.qmd#index-entry-b0471485d6b0fd5b43b349cbe4e386d6c38f5064) - - [`(data array[] real x, data real p) : real`](array_operations.qmd#index-entry-8c7df96194aa20f4691df231ed7577942daf6d6f) - - [`(data row_vector x, data array[] real p) : array[] real`](matrix_operations.qmd#index-entry-ba154b25a2265003899559c90fe541c3a07a82e0) - - [`(data row_vector x, data real p) : real`](matrix_operations.qmd#index-entry-5ca7a0e8fda0d0ac93828d2154479406eead9a61) - - [`(data vector x, data array[] real p) : array[] real`](matrix_operations.qmd#index-entry-49b22dc2be74bb430f6e2faee8a2f6985280f397) - - [`(data vector x, data real p) : real`](matrix_operations.qmd#index-entry-5bcb3bb3e5ae7f0a50cf00b2fb37cc35759014da) + -
[`(data array[] real x, data array[] real p) : array[] real`](array_operations.qmd#index-entry-b0471485d6b0fd5b43b349cbe4e386d6c38f5064) (array_operations.html)
+ -
[`(data array[] real x, data real p) : real`](array_operations.qmd#index-entry-8c7df96194aa20f4691df231ed7577942daf6d6f) (array_operations.html)
+ -
[`(data row_vector x, data array[] real p) : array[] real`](matrix_operations.qmd#index-entry-ba154b25a2265003899559c90fe541c3a07a82e0) (matrix_operations.html)
+ -
[`(data row_vector x, data real p) : real`](matrix_operations.qmd#index-entry-5ca7a0e8fda0d0ac93828d2154479406eead9a61) (matrix_operations.html)
+ -
[`(data vector x, data array[] real p) : array[] real`](matrix_operations.qmd#index-entry-49b22dc2be74bb430f6e2faee8a2f6985280f397) (matrix_operations.html)
+ -
[`(data vector x, data real p) : real`](matrix_operations.qmd#index-entry-5bcb3bb3e5ae7f0a50cf00b2fb37cc35759014da) (matrix_operations.html)
## R -**rank**: +**rank**: - - [`(array[] int v, int s) : int`](array_operations.qmd#index-entry-a6d0770a4ab5bc51a44d3626199ee7de7658377e) - - [`(array[] real v, int s) : int`](array_operations.qmd#index-entry-a28838301370f881f9ec571b8676f50b783b629c) - - [`(row_vector v, int s) : int`](matrix_operations.qmd#index-entry-9dc76dd605fabb78a31bc22a4cbc3bba0371758d) - - [`(vector v, int s) : int`](matrix_operations.qmd#index-entry-a2612df2dc4076d90d32d7205a10905c38bcb241) + -
[`(array[] int v, int s) : int`](array_operations.qmd#index-entry-a6d0770a4ab5bc51a44d3626199ee7de7658377e) (array_operations.html)
+ -
[`(array[] real v, int s) : int`](array_operations.qmd#index-entry-a28838301370f881f9ec571b8676f50b783b629c) (array_operations.html)
+ -
[`(row_vector v, int s) : int`](matrix_operations.qmd#index-entry-9dc76dd605fabb78a31bc22a4cbc3bba0371758d) (matrix_operations.html)
+ -
[`(vector v, int s) : int`](matrix_operations.qmd#index-entry-a2612df2dc4076d90d32d7205a10905c38bcb241) (matrix_operations.html)
-**rayleigh**: +**rayleigh**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-21e80622249b881fc41605bf036fc4acba1d2e27) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-21e80622249b881fc41605bf036fc4acba1d2e27) (positive_continuous_distributions.html)
-**rayleigh_cdf**: +**rayleigh_cdf**: - - [`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-1a411f1904a7749524e9155b6695826fb8243d66) + -
[`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-1a411f1904a7749524e9155b6695826fb8243d66) (positive_continuous_distributions.html)
-**rayleigh_lccdf**: +**rayleigh_lccdf**: - - [`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-9d06d218d58232df14b1c128f0c42df1c1babaa8) + -
[`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-9d06d218d58232df14b1c128f0c42df1c1babaa8) (positive_continuous_distributions.html)
-**rayleigh_lcdf**: +**rayleigh_lcdf**: - - [`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-4782b996228bdd1d006a2f0c6a7406b741855120) + -
[`(real y | real sigma) : real`](positive_continuous_distributions.qmd#index-entry-4782b996228bdd1d006a2f0c6a7406b741855120) (positive_continuous_distributions.html)
-**rayleigh_lpdf**: +**rayleigh_lpdf**: - - [`(reals y | reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-b04b39e49861434e1dc33eaab453c14e28da9f01) + -
[`(reals y | reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-b04b39e49861434e1dc33eaab453c14e28da9f01) (positive_continuous_distributions.html)
-**rayleigh_lupdf**: +**rayleigh_lupdf**: - - [`(reals y | reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-9778ca15ec9fc0fc7856485732abc302454e60c5) + -
[`(reals y | reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-9778ca15ec9fc0fc7856485732abc302454e60c5) (positive_continuous_distributions.html)
-**rayleigh_rng**: +**rayleigh_rng**: - - [`(reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-97387dc941bc4a4869eee5819e8687df2f4ee96b) + -
[`(reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-97387dc941bc4a4869eee5819e8687df2f4ee96b) (positive_continuous_distributions.html)
-**reduce_sum**: +**reduce_sum**: - - [`(F f, array[] T x, int grainsize, T1 s1, T2 s2, ...) : real`](higher-order_functions.qmd#index-entry-a5981e88d5cfd9835be7c6fbd0f9b671cce9bad9) + -
[`(F f, array[] T x, int grainsize, T1 s1, T2 s2, ...) : real`](higher-order_functions.qmd#index-entry-a5981e88d5cfd9835be7c6fbd0f9b671cce9bad9) (higher-order_functions.html)
-**reject**: +**reject**: - - [`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-4724be86187ac6f6f6706c7edabfc36317b4a586) + -
[`(T1 x1,..., TN xN) : void`](void_functions.qmd#index-entry-4724be86187ac6f6f6706c7edabfc36317b4a586) (void_functions.html)
-**rep_array**: +**rep_array**: - - [`(T x, int k, int m, int n) : array[,,] T`](array_operations.qmd#index-entry-a2816f987a767657e3323203e069be5323f40964) - - [`(T x, int m, int n) : array[,] T`](array_operations.qmd#index-entry-a5563d5b3ee4bd63fb6cbbef35e86bd940d587df) - - [`(T x, int n) : array[] T`](array_operations.qmd#index-entry-b16f7217e0f04da666e3544e1f8e27e04e429973) + -
[`(T x, int k, int m, int n) : array[,,] T`](array_operations.qmd#index-entry-a2816f987a767657e3323203e069be5323f40964) (array_operations.html)
+ -
[`(T x, int m, int n) : array[,] T`](array_operations.qmd#index-entry-a5563d5b3ee4bd63fb6cbbef35e86bd940d587df) (array_operations.html)
+ -
[`(T x, int n) : array[] T`](array_operations.qmd#index-entry-b16f7217e0f04da666e3544e1f8e27e04e429973) (array_operations.html)
-**rep_matrix**: +**rep_matrix**: - - [`(complex z, int m, int n) : complex_matrix`](complex_matrix_operations.qmd#index-entry-24c948121a2ee087e060ad1257d8719e1b9aa2c3) - - [`(complex_row_vector rv, int m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-e106eee17c0bdf0c73908ed222c19f595e566330) - - [`(complex_vector v, int n) : complex_matrix`](complex_matrix_operations.qmd#index-entry-680d23b80116edb9e6752b03801cf43a42571d6a) - - [`(real x, int m, int n) : matrix`](matrix_operations.qmd#index-entry-f6dac444f76cc32475bbb31cceff748d10649662) - - [`(row_vector rv, int m) : matrix`](matrix_operations.qmd#index-entry-a54769495396ea1427a26c419009fcf4b6b69cbf) - - [`(vector v, int n) : matrix`](matrix_operations.qmd#index-entry-9088cad16f7504b9acf856be4fc670b42cbd9eaa) + -
[`(complex z, int m, int n) : complex_matrix`](complex_matrix_operations.qmd#index-entry-24c948121a2ee087e060ad1257d8719e1b9aa2c3) (complex_matrix_operations.html)
+ -
[`(complex_row_vector rv, int m) : complex_matrix`](complex_matrix_operations.qmd#index-entry-e106eee17c0bdf0c73908ed222c19f595e566330) (complex_matrix_operations.html)
+ -
[`(complex_vector v, int n) : complex_matrix`](complex_matrix_operations.qmd#index-entry-680d23b80116edb9e6752b03801cf43a42571d6a) (complex_matrix_operations.html)
+ -
[`(real x, int m, int n) : matrix`](matrix_operations.qmd#index-entry-f6dac444f76cc32475bbb31cceff748d10649662) (matrix_operations.html)
+ -
[`(row_vector rv, int m) : matrix`](matrix_operations.qmd#index-entry-a54769495396ea1427a26c419009fcf4b6b69cbf) (matrix_operations.html)
+ -
[`(vector v, int n) : matrix`](matrix_operations.qmd#index-entry-9088cad16f7504b9acf856be4fc670b42cbd9eaa) (matrix_operations.html)
-**rep_row_vector**: +**rep_row_vector**: - - [`(complex z, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-5bf4e064db435eff0410b72666643037d22a395c) - - [`(real x, int n) : row_vector`](matrix_operations.qmd#index-entry-15a03522d48822ef641c68071772fb40994377ff) + -
[`(complex z, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-5bf4e064db435eff0410b72666643037d22a395c) (complex_matrix_operations.html)
+ -
[`(real x, int n) : row_vector`](matrix_operations.qmd#index-entry-15a03522d48822ef641c68071772fb40994377ff) (matrix_operations.html)
-**rep_vector**: +**rep_vector**: - - [`(complex z, int m) : complex_vector`](complex_matrix_operations.qmd#index-entry-d9c905ecc938069ed009528bdab94da0534015b1) - - [`(real x, int m) : vector`](matrix_operations.qmd#index-entry-946d7c6f889b9fa740b16d2261aea52649b26b16) + -
[`(complex z, int m) : complex_vector`](complex_matrix_operations.qmd#index-entry-d9c905ecc938069ed009528bdab94da0534015b1) (complex_matrix_operations.html)
+ -
[`(real x, int m) : vector`](matrix_operations.qmd#index-entry-946d7c6f889b9fa740b16d2261aea52649b26b16) (matrix_operations.html)
-**reverse**: +**reverse**: - - [`(array[] T v) : array[] T`](array_operations.qmd#index-entry-9759b3b50ddba20806c98d04d90c234afd5b230e) - - [`(complex_row_vector v) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-6518a921f55ed48810b7eddb6fdeebc850a60c27) - - [`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-4967c86d60f1814cc9c1b26860a5b0a2d875cfa6) - - [`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-6b1f33889b3d5f2093ad7854f2692c91b8adcd02) - - [`(vector v) : vector`](matrix_operations.qmd#index-entry-568dc0f51c2d88dc59f98ff0b5cf0080469ad789) + -
[`(array[] T v) : array[] T`](array_operations.qmd#index-entry-9759b3b50ddba20806c98d04d90c234afd5b230e) (array_operations.html)
+ -
[`(complex_row_vector v) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-6518a921f55ed48810b7eddb6fdeebc850a60c27) (complex_matrix_operations.html)
+ -
[`(complex_vector v) : complex_vector`](complex_matrix_operations.qmd#index-entry-4967c86d60f1814cc9c1b26860a5b0a2d875cfa6) (complex_matrix_operations.html)
+ -
[`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-6b1f33889b3d5f2093ad7854f2692c91b8adcd02) (matrix_operations.html)
+ -
[`(vector v) : vector`](matrix_operations.qmd#index-entry-568dc0f51c2d88dc59f98ff0b5cf0080469ad789) (matrix_operations.html)
-**rising_factorial**: +**rising_factorial**: - - [`(real x, int n) : real`](real-valued_basic_functions.qmd#index-entry-740279c8bcb940f23acd2a981763223a674105b8) - - [`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-1908eb05437a542da8fa4551ec25c60d068905cb) + -
[`(real x, int n) : real`](real-valued_basic_functions.qmd#index-entry-740279c8bcb940f23acd2a981763223a674105b8) (real-valued_basic_functions.html)
+ -
[`(T1 x, T2 y) : R`](real-valued_basic_functions.qmd#index-entry-1908eb05437a542da8fa4551ec25c60d068905cb) (real-valued_basic_functions.html)
-**round**: +**round**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b0ef648badd54cfdfec4e07e6a94362748815ccc) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b0ef648badd54cfdfec4e07e6a94362748815ccc) (real-valued_basic_functions.html)
-**row**: +**row**: - - [`(complex_matrix x, int m) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-f8cb43eb2a385abfd8880fb1c741f30d7c691414) - - [`(matrix x, int m) : row_vector`](matrix_operations.qmd#index-entry-5ad5162727cc2ef4908de930d86a6f86f1716ff8) + -
[`(complex_matrix x, int m) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-f8cb43eb2a385abfd8880fb1c741f30d7c691414) (complex_matrix_operations.html)
+ -
[`(matrix x, int m) : row_vector`](matrix_operations.qmd#index-entry-5ad5162727cc2ef4908de930d86a6f86f1716ff8) (matrix_operations.html)
-**rows**: +**rows**: - - [`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-9ebbc38c2cab2bb85fc80a2aace93188ecfcf794) - - [`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-e14fb4048c19b782910ef083ea77519d2136be69) - - [`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-8005f2c9cb8700f40b7a2aa479a6d62cc1ab309d) - - [`(matrix x) : int`](matrix_operations.qmd#index-entry-65ffc1cace11a1dd2675fb84a331101e1ea8b626) - - [`(row_vector x) : int`](matrix_operations.qmd#index-entry-578ea4c98303c7c7498cb69c853a18e09d5c44fd) - - [`(vector x) : int`](matrix_operations.qmd#index-entry-c6697d2988eb22bf8fd56b05ffcde6779627ebf8) + -
[`(complex_matrix x) : int`](complex_matrix_operations.qmd#index-entry-9ebbc38c2cab2bb85fc80a2aace93188ecfcf794) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-e14fb4048c19b782910ef083ea77519d2136be69) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-8005f2c9cb8700f40b7a2aa479a6d62cc1ab309d) (complex_matrix_operations.html)
+ -
[`(matrix x) : int`](matrix_operations.qmd#index-entry-65ffc1cace11a1dd2675fb84a331101e1ea8b626) (matrix_operations.html)
+ -
[`(row_vector x) : int`](matrix_operations.qmd#index-entry-578ea4c98303c7c7498cb69c853a18e09d5c44fd) (matrix_operations.html)
+ -
[`(vector x) : int`](matrix_operations.qmd#index-entry-c6697d2988eb22bf8fd56b05ffcde6779627ebf8) (matrix_operations.html)
-**rows_dot_product**: +**rows_dot_product**: - - [`(complex_matrix x, complex_matrix y) : complex_vector`](complex_matrix_operations.qmd#index-entry-74d6233826ba207dc78ce8fa7c02a1177299542d) - - [`(complex_row_vector x, complex_row_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-734a199664218183d672f594e0ba3c472067cf38) - - [`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-9869bbad286feb6e3252d28a43fac51f950044c7) - - [`(matrix x, matrix y) : vector`](matrix_operations.qmd#index-entry-cf6ee59a255f43dac007f4dd3ef01a1119343cb0) - - [`(row_vector x, row_vector y) : vector`](matrix_operations.qmd#index-entry-9bb7b3a8ee495648abc1b0eff2ecebe52c99be25) - - [`(vector x, vector y) : vector`](matrix_operations.qmd#index-entry-de1fe07c43494dac868152a24e25fcf81955732e) + -
[`(complex_matrix x, complex_matrix y) : complex_vector`](complex_matrix_operations.qmd#index-entry-74d6233826ba207dc78ce8fa7c02a1177299542d) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x, complex_row_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-734a199664218183d672f594e0ba3c472067cf38) (complex_matrix_operations.html)
+ -
[`(complex_vector x, complex_vector y) : complex_vector`](complex_matrix_operations.qmd#index-entry-9869bbad286feb6e3252d28a43fac51f950044c7) (complex_matrix_operations.html)
+ -
[`(matrix x, matrix y) : vector`](matrix_operations.qmd#index-entry-cf6ee59a255f43dac007f4dd3ef01a1119343cb0) (matrix_operations.html)
+ -
[`(row_vector x, row_vector y) : vector`](matrix_operations.qmd#index-entry-9bb7b3a8ee495648abc1b0eff2ecebe52c99be25) (matrix_operations.html)
+ -
[`(vector x, vector y) : vector`](matrix_operations.qmd#index-entry-de1fe07c43494dac868152a24e25fcf81955732e) (matrix_operations.html)
-**rows_dot_self**: +**rows_dot_self**: - - [`(complex_matrix x) : complex_vector`](complex_matrix_operations.qmd#index-entry-771452c2e576061539abb7bece2cec0051b51eb7) - - [`(complex_row_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-f485e7669d290a4148d1373c4705206fdef737e3) - - [`(complex_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-9089a74ceffaf17dbabc8404c8575d1f4d6f92a9) - - [`(matrix x) : vector`](matrix_operations.qmd#index-entry-947ee99ec791f7bead5c155ced2ef89e5ac7e8b7) - - [`(row_vector x) : vector`](matrix_operations.qmd#index-entry-b624c89d6c4d2e43359ff78346c37076b91730f1) - - [`(vector x) : vector`](matrix_operations.qmd#index-entry-a451434f24e97a590c47f3f0e691af26a61e8705) + -
[`(complex_matrix x) : complex_vector`](complex_matrix_operations.qmd#index-entry-771452c2e576061539abb7bece2cec0051b51eb7) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-f485e7669d290a4148d1373c4705206fdef737e3) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex_vector`](complex_matrix_operations.qmd#index-entry-9089a74ceffaf17dbabc8404c8575d1f4d6f92a9) (complex_matrix_operations.html)
+ -
[`(matrix x) : vector`](matrix_operations.qmd#index-entry-947ee99ec791f7bead5c155ced2ef89e5ac7e8b7) (matrix_operations.html)
+ -
[`(row_vector x) : vector`](matrix_operations.qmd#index-entry-b624c89d6c4d2e43359ff78346c37076b91730f1) (matrix_operations.html)
+ -
[`(vector x) : vector`](matrix_operations.qmd#index-entry-a451434f24e97a590c47f3f0e691af26a61e8705) (matrix_operations.html)
## S -**scale_matrix_exp_multiply**: +**scale_matrix_exp_multiply**: - - [`(real t, matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-09a3d2d3107a8732b5360be5accb8fcce6bd2987) + -
[`(real t, matrix A, matrix B) : matrix`](matrix_operations.qmd#index-entry-09a3d2d3107a8732b5360be5accb8fcce6bd2987) (matrix_operations.html)
-**scaled_inv_chi_square**: +**scaled_inv_chi_square**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-d782005ee920606bf8bdd43885ae449421dce0f6) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-d782005ee920606bf8bdd43885ae449421dce0f6) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_cdf**: +**scaled_inv_chi_square_cdf**: - - [`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-be017a6dd0ea4e5a40dfbe2ed649d0837f935724) + -
[`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-be017a6dd0ea4e5a40dfbe2ed649d0837f935724) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_lccdf**: +**scaled_inv_chi_square_lccdf**: - - [`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-5f64b2f0bae60e336dba14a7efe683097fc8c8c8) + -
[`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-5f64b2f0bae60e336dba14a7efe683097fc8c8c8) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_lcdf**: +**scaled_inv_chi_square_lcdf**: - - [`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-e14593aac1cd14f7cf744da7a520e81ea74f2923) + -
[`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-e14593aac1cd14f7cf744da7a520e81ea74f2923) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_lpdf**: +**scaled_inv_chi_square_lpdf**: - - [`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-9df549db2fb37eff9dfe90a6a22d14745f8c5fe5) + -
[`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-9df549db2fb37eff9dfe90a6a22d14745f8c5fe5) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_lupdf**: +**scaled_inv_chi_square_lupdf**: - - [`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-8b7dfa52248b073d01e53ceabcc698299d321803) + -
[`(reals y | reals nu, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-8b7dfa52248b073d01e53ceabcc698299d321803) (positive_continuous_distributions.html)
-**scaled_inv_chi_square_rng**: +**scaled_inv_chi_square_rng**: - - [`(reals nu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-f0ccb76a8d7070c50483a9191a0177d55dc7a4a8) + -
[`(reals nu, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-f0ccb76a8d7070c50483a9191a0177d55dc7a4a8) (positive_continuous_distributions.html)
-**sd**: +**sd**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-2ff81571d634ef5353d30cfebadc9561bf519ee4) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-8af54c041853b0f940ca2f60a845500498fdcf2b) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-0182a4edcf541473e053aff58f5a7d2eafa83574) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-41a7ec70ca2889f5e84fd426dfa08137bfaba28a) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-2ff81571d634ef5353d30cfebadc9561bf519ee4) (array_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-8af54c041853b0f940ca2f60a845500498fdcf2b) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-0182a4edcf541473e053aff58f5a7d2eafa83574) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-41a7ec70ca2889f5e84fd426dfa08137bfaba28a) (matrix_operations.html)
-**segment**: +**segment**: - - [`(array[] T sv, int i, int n) : array[] T`](matrix_operations.qmd#index-entry-2374a68547cdedbbdfbb1b7212dd1ccaf48d84b3) - - [`(complex_row_vector rv, int i, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-b59ddb42d7b01c4f637d83f1654f9b63e6f1d9cd) - - [`(complex_vector v, int i, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-96d8e2e13f7a5c50b4fef83a87ac1dcd395ab08f) - - [`(row_vector rv, int i, int n) : row_vector`](matrix_operations.qmd#index-entry-26587b215542055b9fe52316209a88041c119b87) - - [`(vector v, int i, int n) : vector`](matrix_operations.qmd#index-entry-71cb7ac02f1e74f4b6fff77caa9b5ef0bd15346a) + -
[`(array[] T sv, int i, int n) : array[] T`](matrix_operations.qmd#index-entry-2374a68547cdedbbdfbb1b7212dd1ccaf48d84b3) (matrix_operations.html)
+ -
[`(complex_row_vector rv, int i, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-b59ddb42d7b01c4f637d83f1654f9b63e6f1d9cd) (complex_matrix_operations.html)
+ -
[`(complex_vector v, int i, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-96d8e2e13f7a5c50b4fef83a87ac1dcd395ab08f) (complex_matrix_operations.html)
+ -
[`(row_vector rv, int i, int n) : row_vector`](matrix_operations.qmd#index-entry-26587b215542055b9fe52316209a88041c119b87) (matrix_operations.html)
+ -
[`(vector v, int i, int n) : vector`](matrix_operations.qmd#index-entry-71cb7ac02f1e74f4b6fff77caa9b5ef0bd15346a) (matrix_operations.html)
-**sin**: +**sin**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-13f23f848a721cdfa87c2d1f4b4067cb9df6911e) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-318c6c59e1d99978abb1432132810c6f097ed01f) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-13f23f848a721cdfa87c2d1f4b4067cb9df6911e) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-318c6c59e1d99978abb1432132810c6f097ed01f) (real-valued_basic_functions.html)
-**singular_values**: +**singular_values**: - - [`(complex_matrix A) : vector`](complex_matrix_operations.qmd#index-entry-491e5da4f54a933c48db0826ddc9f9bff1b864f2) - - [`(matrix A) : vector`](matrix_operations.qmd#index-entry-561216aa62b3975fc9a1a4e4d2158ed263b307f2) + -
[`(complex_matrix A) : vector`](complex_matrix_operations.qmd#index-entry-491e5da4f54a933c48db0826ddc9f9bff1b864f2) (complex_matrix_operations.html)
+ -
[`(matrix A) : vector`](matrix_operations.qmd#index-entry-561216aa62b3975fc9a1a4e4d2158ed263b307f2) (matrix_operations.html)
-**sinh**: +**sinh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8511329268543fd1404cfddba3d7bf1867ed3665) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1532402d69ee65eaf786341825da10fa8941a092) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-8511329268543fd1404cfddba3d7bf1867ed3665) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-1532402d69ee65eaf786341825da10fa8941a092) (real-valued_basic_functions.html)
-**size**: +**size**: - - [`(array[] T x) : int`](array_operations.qmd#index-entry-c12761833dc86f2313582b4fe440b0b82d4c8cb6) - - [`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-dd6512340d46b06fe64606e36622bf23ed255eab) - - [`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-4a14d6b215559d7664aabfafde37e9153206b209) - - [`(int x) : int`](integer-valued_basic_functions.qmd#index-entry-cc587d014dd8cd99986939af8ad1854a3c3425f0) - - [`(matrix x) : int`](complex_matrix_operations.qmd#index-entry-69098855a034f282c0294e1c6c21cded79ec8a3c) - - [`(matrix x) : int`](matrix_operations.qmd#index-entry-69098855a034f282c0294e1c6c21cded79ec8a3c) - - [`(real x) : int`](integer-valued_basic_functions.qmd#index-entry-f9c96384668fa7a7880511c2c0ad2558be24e0a4) - - [`(row_vector x) : int`](matrix_operations.qmd#index-entry-f449c3a25c74efefc2c1462cf914a52a4050d575) - - [`(vector x) : int`](matrix_operations.qmd#index-entry-9b99cb12fadc8373556db600c949cc44b43fe907) + -
[`(array[] T x) : int`](array_operations.qmd#index-entry-c12761833dc86f2313582b4fe440b0b82d4c8cb6) (array_operations.html)
+ -
[`(complex_row_vector x) : int`](complex_matrix_operations.qmd#index-entry-dd6512340d46b06fe64606e36622bf23ed255eab) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : int`](complex_matrix_operations.qmd#index-entry-4a14d6b215559d7664aabfafde37e9153206b209) (complex_matrix_operations.html)
+ -
[`(int x) : int`](integer-valued_basic_functions.qmd#index-entry-cc587d014dd8cd99986939af8ad1854a3c3425f0) (integer-valued_basic_functions.html)
+ -
[`(matrix x) : int`](complex_matrix_operations.qmd#index-entry-69098855a034f282c0294e1c6c21cded79ec8a3c) (complex_matrix_operations.html)
+ -
[`(matrix x) : int`](matrix_operations.qmd#index-entry-69098855a034f282c0294e1c6c21cded79ec8a3c) (matrix_operations.html)
+ -
[`(real x) : int`](integer-valued_basic_functions.qmd#index-entry-f9c96384668fa7a7880511c2c0ad2558be24e0a4) (integer-valued_basic_functions.html)
+ -
[`(row_vector x) : int`](matrix_operations.qmd#index-entry-f449c3a25c74efefc2c1462cf914a52a4050d575) (matrix_operations.html)
+ -
[`(vector x) : int`](matrix_operations.qmd#index-entry-9b99cb12fadc8373556db600c949cc44b43fe907) (matrix_operations.html)
-**skew_double_exponential**: +**skew_double_exponential**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-c133dee4da92b9a21386219b4a5fbb6b5ced9f23) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-c133dee4da92b9a21386219b4a5fbb6b5ced9f23) (unbounded_continuous_distributions.html)
-**skew_double_exponential_cdf**: +**skew_double_exponential_cdf**: - - [`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-bbc59f7f6b6b9b62a78cc86780d31dbc261ef032) + -
[`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-bbc59f7f6b6b9b62a78cc86780d31dbc261ef032) (unbounded_continuous_distributions.html)
-**skew_double_exponential_lccdf**: +**skew_double_exponential_lccdf**: - - [`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-3b13bcb4e64d73e98c4ff5ebfa01691c2ba8cb43) + -
[`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-3b13bcb4e64d73e98c4ff5ebfa01691c2ba8cb43) (unbounded_continuous_distributions.html)
-**skew_double_exponential_lcdf**: +**skew_double_exponential_lcdf**: - - [`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-4d7480cfff426af8ef69e62abd1a90b246aa386d) + -
[`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-4d7480cfff426af8ef69e62abd1a90b246aa386d) (unbounded_continuous_distributions.html)
-**skew_double_exponential_lpdf**: +**skew_double_exponential_lpdf**: - - [`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-903ddf1695b27de2b4e5bcdfd95493d2b2c40105) + -
[`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-903ddf1695b27de2b4e5bcdfd95493d2b2c40105) (unbounded_continuous_distributions.html)
-**skew_double_exponential_lupdf**: +**skew_double_exponential_lupdf**: - - [`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-344e5af2a56736dcd0d5a8df8fa7f5204b2392b4) + -
[`(reals y | reals mu, reals sigma, reals tau) : real`](unbounded_continuous_distributions.qmd#index-entry-344e5af2a56736dcd0d5a8df8fa7f5204b2392b4) (unbounded_continuous_distributions.html)
-**skew_double_exponential_rng**: +**skew_double_exponential_rng**: - - [`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-5ba4f22bc09b1f9b4aaef277e2148dd77a3dd8b6) + -
[`(reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-5ba4f22bc09b1f9b4aaef277e2148dd77a3dd8b6) (unbounded_continuous_distributions.html)
-**skew_normal**: +**skew_normal**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-70ae09d4a5fd934163b857b8af6509a78d7717df) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-70ae09d4a5fd934163b857b8af6509a78d7717df) (unbounded_continuous_distributions.html)
-**skew_normal_cdf**: +**skew_normal_cdf**: - - [`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-4e1fe342b2c2a2f8efd1b736d66c0d918bcd6699) + -
[`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-4e1fe342b2c2a2f8efd1b736d66c0d918bcd6699) (unbounded_continuous_distributions.html)
-**skew_normal_lccdf**: +**skew_normal_lccdf**: - - [`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-f317d012b6071ab55a6345c89527fb421e4607ec) + -
[`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-f317d012b6071ab55a6345c89527fb421e4607ec) (unbounded_continuous_distributions.html)
-**skew_normal_lcdf**: +**skew_normal_lcdf**: - - [`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-55d8df839becff01c2c535a00f18ae07d745f20f) + -
[`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-55d8df839becff01c2c535a00f18ae07d745f20f) (unbounded_continuous_distributions.html)
-**skew_normal_lpdf**: +**skew_normal_lpdf**: - - [`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-f14e52bfc7ddf652898086b26b652a779adfffbd) + -
[`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-f14e52bfc7ddf652898086b26b652a779adfffbd) (unbounded_continuous_distributions.html)
-**skew_normal_lupdf**: +**skew_normal_lupdf**: - - [`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-57aff3449f2e94559d54277820ea0537a5b2d44f) + -
[`(reals y | reals xi, reals omega, reals alpha) : real`](unbounded_continuous_distributions.qmd#index-entry-57aff3449f2e94559d54277820ea0537a5b2d44f) (unbounded_continuous_distributions.html)
-**skew_normal_rng**: +**skew_normal_rng**: - - [`(reals xi, reals omega, real alpha) : R`](unbounded_continuous_distributions.qmd#index-entry-18eec472b4732674d456a7bf36148e16322c3a0d) + -
[`(reals xi, reals omega, real alpha) : R`](unbounded_continuous_distributions.qmd#index-entry-18eec472b4732674d456a7bf36148e16322c3a0d) (unbounded_continuous_distributions.html)
-**softmax**: +**softmax**: - - [`(vector x) : vector`](matrix_operations.qmd#index-entry-9267f9986949f0269013001d932bef84c805fa45) + -
[`(vector x) : vector`](matrix_operations.qmd#index-entry-9267f9986949f0269013001d932bef84c805fa45) (matrix_operations.html)
-**sort_asc**: +**sort_asc**: - - [`(array[] int v) : array[] int`](array_operations.qmd#index-entry-6e75416be841609073a75454c55e2fbc19f46f47) - - [`(array[] real v) : array[] real`](array_operations.qmd#index-entry-29411da2ef662a3af3793ab20c89f7e7b677bd0e) - - [`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-9bc88f386e57fb9d4e7a2e0fd914d4525b7271c8) - - [`(vector v) : vector`](matrix_operations.qmd#index-entry-3f7cd093f7a97b178afa3f28332faee31600a6c9) + -
[`(array[] int v) : array[] int`](array_operations.qmd#index-entry-6e75416be841609073a75454c55e2fbc19f46f47) (array_operations.html)
+ -
[`(array[] real v) : array[] real`](array_operations.qmd#index-entry-29411da2ef662a3af3793ab20c89f7e7b677bd0e) (array_operations.html)
+ -
[`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-9bc88f386e57fb9d4e7a2e0fd914d4525b7271c8) (matrix_operations.html)
+ -
[`(vector v) : vector`](matrix_operations.qmd#index-entry-3f7cd093f7a97b178afa3f28332faee31600a6c9) (matrix_operations.html)
-**sort_desc**: +**sort_desc**: - - [`(array[] int v) : array[] int`](array_operations.qmd#index-entry-355460b3ae8892bf699932f697801d5f961e04e8) - - [`(array[] real v) : array[] real`](array_operations.qmd#index-entry-fce023d8773b92438ce6a759565ce44deab3681c) - - [`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-455584fc2e149f835e4f434734d42537044906a0) - - [`(vector v) : vector`](matrix_operations.qmd#index-entry-9e567cdae4513e4fd1de2f40bda8578202f4b75f) + -
[`(array[] int v) : array[] int`](array_operations.qmd#index-entry-355460b3ae8892bf699932f697801d5f961e04e8) (array_operations.html)
+ -
[`(array[] real v) : array[] real`](array_operations.qmd#index-entry-fce023d8773b92438ce6a759565ce44deab3681c) (array_operations.html)
+ -
[`(row_vector v) : row_vector`](matrix_operations.qmd#index-entry-455584fc2e149f835e4f434734d42537044906a0) (matrix_operations.html)
+ -
[`(vector v) : vector`](matrix_operations.qmd#index-entry-9e567cdae4513e4fd1de2f40bda8578202f4b75f) (matrix_operations.html)
-**sort_indices_asc**: +**sort_indices_asc**: - - [`(array[] int v) : array[] int`](array_operations.qmd#index-entry-22998db91982cee6e0c3b1a618078f76b085d02c) - - [`(array[] real v) : array[] int`](array_operations.qmd#index-entry-88b08c67456c5ae147bac2ccabf5a2435eb84def) - - [`(row_vector v) : array[] int`](matrix_operations.qmd#index-entry-162c46d9f5b0bdb7329ba9d5db3e248a017bf548) - - [`(vector v) : array[] int`](matrix_operations.qmd#index-entry-f37b48f43d2c6eaaeaa6b012dfae4912e9ac6869) + -
[`(array[] int v) : array[] int`](array_operations.qmd#index-entry-22998db91982cee6e0c3b1a618078f76b085d02c) (array_operations.html)
+ -
[`(array[] real v) : array[] int`](array_operations.qmd#index-entry-88b08c67456c5ae147bac2ccabf5a2435eb84def) (array_operations.html)
+ -
[`(row_vector v) : array[] int`](matrix_operations.qmd#index-entry-162c46d9f5b0bdb7329ba9d5db3e248a017bf548) (matrix_operations.html)
+ -
[`(vector v) : array[] int`](matrix_operations.qmd#index-entry-f37b48f43d2c6eaaeaa6b012dfae4912e9ac6869) (matrix_operations.html)
-**sort_indices_desc**: +**sort_indices_desc**: - - [`(array[] int v) : array[] int`](array_operations.qmd#index-entry-f8faa56dc58a61ee15ff8a3545ecc6aee8b3110d) - - [`(array[] real v) : array[] int`](array_operations.qmd#index-entry-fa29a352fe066806f7fafbebc5a2510bab51596f) - - [`(row_vector v) : array[] int`](matrix_operations.qmd#index-entry-29d0b54b37e8b0e7e36145bd3ad202aa5d5c7362) - - [`(vector v) : array[] int`](matrix_operations.qmd#index-entry-7660a9ad94113629502c6f1a3796f2e1e4033ce0) + -
[`(array[] int v) : array[] int`](array_operations.qmd#index-entry-f8faa56dc58a61ee15ff8a3545ecc6aee8b3110d) (array_operations.html)
+ -
[`(array[] real v) : array[] int`](array_operations.qmd#index-entry-fa29a352fe066806f7fafbebc5a2510bab51596f) (array_operations.html)
+ -
[`(row_vector v) : array[] int`](matrix_operations.qmd#index-entry-29d0b54b37e8b0e7e36145bd3ad202aa5d5c7362) (matrix_operations.html)
+ -
[`(vector v) : array[] int`](matrix_operations.qmd#index-entry-7660a9ad94113629502c6f1a3796f2e1e4033ce0) (matrix_operations.html)
-**sqrt**: +**sqrt**: - - [`(complex x) : complex`](complex-valued_basic_functions.qmd#index-entry-1e8198cd9adf62979a9a07f6d4548f72a1ada06d) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b3bbd4cc788019bca7f70823777f48ce5f43e4b4) + -
[`(complex x) : complex`](complex-valued_basic_functions.qmd#index-entry-1e8198cd9adf62979a9a07f6d4548f72a1ada06d) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b3bbd4cc788019bca7f70823777f48ce5f43e4b4) (real-valued_basic_functions.html)
-**sqrt2**: +**sqrt2**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-1ded3db8572ff7287e4d61f28f486873fd4b76a1) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-1ded3db8572ff7287e4d61f28f486873fd4b76a1) (real-valued_basic_functions.html)
-**square**: +**square**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b9f6f7932609a3f72301693abb282aa60845a210) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-b9f6f7932609a3f72301693abb282aa60845a210) (real-valued_basic_functions.html)
-**squared_distance**: +**squared_distance**: - - [`(row_vector x, row_vector y) : real`](array_operations.qmd#index-entry-794d03938547aad86944e55cbb1f64f9ea22dee5) - - [`(row_vector x, vector y) : real`](array_operations.qmd#index-entry-8887aa905b17d368550a915063d1bb8fbf4ccf59) - - [`(vector x, row_vector y) : real`](array_operations.qmd#index-entry-e2cb205544293c316ec3e5356c4d1dbebfafb159) - - [`(vector x, vector y) : real`](array_operations.qmd#index-entry-47ca27c5ccd71b8bebcadb9723ea604c50120857) + -
[`(row_vector x, row_vector y) : real`](array_operations.qmd#index-entry-794d03938547aad86944e55cbb1f64f9ea22dee5) (array_operations.html)
+ -
[`(row_vector x, vector y) : real`](array_operations.qmd#index-entry-8887aa905b17d368550a915063d1bb8fbf4ccf59) (array_operations.html)
+ -
[`(vector x, row_vector y) : real`](array_operations.qmd#index-entry-e2cb205544293c316ec3e5356c4d1dbebfafb159) (array_operations.html)
+ -
[`(vector x, vector y) : real`](array_operations.qmd#index-entry-47ca27c5ccd71b8bebcadb9723ea604c50120857) (array_operations.html)
-**std_normal**: +**std_normal**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-8fd9b26fa3b56249d7987f7189e234de82c38812) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-8fd9b26fa3b56249d7987f7189e234de82c38812) (unbounded_continuous_distributions.html)
-**std_normal_cdf**: +**std_normal_cdf**: - - [`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-d682f4986b7887882cc42788a87dd1d67950e7cc) + -
[`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-d682f4986b7887882cc42788a87dd1d67950e7cc) (unbounded_continuous_distributions.html)
-**std_normal_lccdf**: +**std_normal_lccdf**: - - [`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-bf6a81086184bebf728088395f30c5755cd8562a) + -
[`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-bf6a81086184bebf728088395f30c5755cd8562a) (unbounded_continuous_distributions.html)
-**std_normal_lcdf**: +**std_normal_lcdf**: - - [`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-925bd18ef58df9b2bf3bf0dc86898c8633dc2373) + -
[`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-925bd18ef58df9b2bf3bf0dc86898c8633dc2373) (unbounded_continuous_distributions.html)
-**std_normal_log_qf**: +**std_normal_log_qf**: - - [`(T x) : R`](unbounded_continuous_distributions.qmd#index-entry-fe25ac0f35036372c19c2da7bb28d37f9a80cf2c) + -
[`(T x) : R`](unbounded_continuous_distributions.qmd#index-entry-fe25ac0f35036372c19c2da7bb28d37f9a80cf2c) (unbounded_continuous_distributions.html)
-**std_normal_lpdf**: +**std_normal_lpdf**: - - [`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-3ae6425bfbb49379f4d0565899a18873e6b23747) + -
[`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-3ae6425bfbb49379f4d0565899a18873e6b23747) (unbounded_continuous_distributions.html)
-**std_normal_lupdf**: +**std_normal_lupdf**: - - [`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-813f27102ca53e25d42a3ef9c42bd919f4390d6d) + -
[`(reals y) : real`](unbounded_continuous_distributions.qmd#index-entry-813f27102ca53e25d42a3ef9c42bd919f4390d6d) (unbounded_continuous_distributions.html)
-**std_normal_qf**: +**std_normal_qf**: - - [`(T x) : R`](unbounded_continuous_distributions.qmd#index-entry-9bac63544b561d2822dd4d977b4e0ce0b78f183b) + -
[`(T x) : R`](unbounded_continuous_distributions.qmd#index-entry-9bac63544b561d2822dd4d977b4e0ce0b78f183b) (unbounded_continuous_distributions.html)
-**std_normal_rng**: +**std_normal_rng**: - - [`() : real`](unbounded_continuous_distributions.qmd#index-entry-4d08a0371e8f4ad5a8ac20add31783b3a31ed310) + -
[`() : real`](unbounded_continuous_distributions.qmd#index-entry-4d08a0371e8f4ad5a8ac20add31783b3a31ed310) (unbounded_continuous_distributions.html)
-**step**: +**step**: - - [`(real x) : real`](real-valued_basic_functions.qmd#index-entry-b5b8e03f66b31507dac3535af6f2d8f615e4a3af) + -
[`(real x) : real`](real-valued_basic_functions.qmd#index-entry-b5b8e03f66b31507dac3535af6f2d8f615e4a3af) (real-valued_basic_functions.html)
-**student_t**: +**student_t**: - - [distribution statement](unbounded_continuous_distributions.qmd#index-entry-2483b90edc6356f6ed17c209456b226b1bc0099b) + -
[distribution statement](unbounded_continuous_distributions.qmd#index-entry-2483b90edc6356f6ed17c209456b226b1bc0099b) (unbounded_continuous_distributions.html)
-**student_t_cdf**: +**student_t_cdf**: - - [`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c14ffe34acf237ad6f14abea4b420b8d1ddc91c0) + -
[`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c14ffe34acf237ad6f14abea4b420b8d1ddc91c0) (unbounded_continuous_distributions.html)
-**student_t_lccdf**: +**student_t_lccdf**: - - [`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f066450f95e0c6d86c44d8a4ecd7c462c0349ca9) + -
[`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-f066450f95e0c6d86c44d8a4ecd7c462c0349ca9) (unbounded_continuous_distributions.html)
-**student_t_lcdf**: +**student_t_lcdf**: - - [`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c66e35d8ec8239f600bd048ba98bb327054d7e3e) + -
[`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-c66e35d8ec8239f600bd048ba98bb327054d7e3e) (unbounded_continuous_distributions.html)
-**student_t_lpdf**: +**student_t_lpdf**: - - [`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-b9eec4ab31579ecbd1b7330def17803b0e0fc7a4) + -
[`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-b9eec4ab31579ecbd1b7330def17803b0e0fc7a4) (unbounded_continuous_distributions.html)
-**student_t_lupdf**: +**student_t_lupdf**: - - [`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-324d76557438cfbe15364f652d1fde26b764ad5e) + -
[`(reals y | reals nu, reals mu, reals sigma) : real`](unbounded_continuous_distributions.qmd#index-entry-324d76557438cfbe15364f652d1fde26b764ad5e) (unbounded_continuous_distributions.html)
-**student_t_rng**: +**student_t_rng**: - - [`(reals nu, reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-66f1428f578865e4e4d3a0fc3c845d58bbfbdfb0) + -
[`(reals nu, reals mu, reals sigma) : R`](unbounded_continuous_distributions.qmd#index-entry-66f1428f578865e4e4d3a0fc3c845d58bbfbdfb0) (unbounded_continuous_distributions.html)
-**sub_col**: +**sub_col**: - - [`(complex_matrix x, int i, int j, int n_rows) : complex_vector`](complex_matrix_operations.qmd#index-entry-177f046c456c0586f89f6731e2de2124009c4498) - - [`(matrix x, int i, int j, int n_rows) : vector`](matrix_operations.qmd#index-entry-fb1126ac4a4410b2b2264dab2a17005f57546883) + -
[`(complex_matrix x, int i, int j, int n_rows) : complex_vector`](complex_matrix_operations.qmd#index-entry-177f046c456c0586f89f6731e2de2124009c4498) (complex_matrix_operations.html)
+ -
[`(matrix x, int i, int j, int n_rows) : vector`](matrix_operations.qmd#index-entry-fb1126ac4a4410b2b2264dab2a17005f57546883) (matrix_operations.html)
-**sub_row**: +**sub_row**: - - [`(complex_matrix x, int i, int j, int n_cols) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-07fb8f1cd8ba380cf781e1871c50fba8f8c31164) - - [`(matrix x, int i, int j, int n_cols) : row_vector`](matrix_operations.qmd#index-entry-f6b0581323605859a322af2e4cfb0eac1d6a67f8) + -
[`(complex_matrix x, int i, int j, int n_cols) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-07fb8f1cd8ba380cf781e1871c50fba8f8c31164) (complex_matrix_operations.html)
+ -
[`(matrix x, int i, int j, int n_cols) : row_vector`](matrix_operations.qmd#index-entry-f6b0581323605859a322af2e4cfb0eac1d6a67f8) (matrix_operations.html)
-**sum**: +**sum**: - - [`(array[] complex x) : complex`](array_operations.qmd#index-entry-e7ecc93be79d76e228adf2a4a2f9cdd908a7238b) - - [`(array[] int x) : int`](array_operations.qmd#index-entry-d97ce537eae8d48ac3ddc98520d0c5eaafd6fe27) - - [`(array[] real x) : real`](array_operations.qmd#index-entry-acfd44849111bfa6024f821401db39f1181f4d14) - - [`(complex_matrix x) : complex`](complex_matrix_operations.qmd#index-entry-3cba7a8e0e6f9daf41a8ac994c85688f887c228b) - - [`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-bbcdf1952ec801328e03cb3637166b7a9f2f3cff) - - [`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-3cf6379c6f6f87df7a312af029238c24af388e45) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-7a966705e2b5c7762ea80adedd66384f947e0d59) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-6e609b116c423a798df7d214f82a296fb3c45baa) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-a3848926d02b63042a5cca7f5f2114a98d5a3b54) + -
[`(array[] complex x) : complex`](array_operations.qmd#index-entry-e7ecc93be79d76e228adf2a4a2f9cdd908a7238b) (array_operations.html)
+ -
[`(array[] int x) : int`](array_operations.qmd#index-entry-d97ce537eae8d48ac3ddc98520d0c5eaafd6fe27) (array_operations.html)
+ -
[`(array[] real x) : real`](array_operations.qmd#index-entry-acfd44849111bfa6024f821401db39f1181f4d14) (array_operations.html)
+ -
[`(complex_matrix x) : complex`](complex_matrix_operations.qmd#index-entry-3cba7a8e0e6f9daf41a8ac994c85688f887c228b) (complex_matrix_operations.html)
+ -
[`(complex_row_vector x) : complex`](complex_matrix_operations.qmd#index-entry-bbcdf1952ec801328e03cb3637166b7a9f2f3cff) (complex_matrix_operations.html)
+ -
[`(complex_vector x) : complex`](complex_matrix_operations.qmd#index-entry-3cf6379c6f6f87df7a312af029238c24af388e45) (complex_matrix_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-7a966705e2b5c7762ea80adedd66384f947e0d59) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-6e609b116c423a798df7d214f82a296fb3c45baa) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-a3848926d02b63042a5cca7f5f2114a98d5a3b54) (matrix_operations.html)
-**svd**: +**svd**: - - [`(complex_matrix A) : tuple(complex_matrix, vector, complex_matrix)`](complex_matrix_operations.qmd#index-entry-250461905ab5c8f3351131c12e8ea6f1b3e68795) - - [`(matrix A) : tuple(matrix, vector, matrix)`](matrix_operations.qmd#index-entry-2c5c96a002835c270f25ef8c2e2cebacf7a03c02) + -
[`(complex_matrix A) : tuple(complex_matrix, vector, complex_matrix)`](complex_matrix_operations.qmd#index-entry-250461905ab5c8f3351131c12e8ea6f1b3e68795) (complex_matrix_operations.html)
+ -
[`(matrix A) : tuple(matrix, vector, matrix)`](matrix_operations.qmd#index-entry-2c5c96a002835c270f25ef8c2e2cebacf7a03c02) (matrix_operations.html)
-**svd_U**: +**svd_U**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-66a9fbf01c3972f54a4e86c8766100b5aa78a187) - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-11a4ca04c6b3043104d40033be0b59dca0812809) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-66a9fbf01c3972f54a4e86c8766100b5aa78a187) (complex_matrix_operations.html)
+ -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-11a4ca04c6b3043104d40033be0b59dca0812809) (matrix_operations.html)
-**svd_V**: +**svd_V**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ae2d55818ccca5b294b06be1082ae607075dba37) - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-93d86ec7f54351b8ea720e400f10a534c1b87ee0) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-ae2d55818ccca5b294b06be1082ae607075dba37) (complex_matrix_operations.html)
+ -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-93d86ec7f54351b8ea720e400f10a534c1b87ee0) (matrix_operations.html)
-**symmetrize_from_lower_tri**: +**symmetrize_from_lower_tri**: - - [`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-99c3b184331464981edec14b1ad54d7ed2f94251) - - [`(matrix A) : matrix`](matrix_operations.qmd#index-entry-e4997fec1a21248abde86960359ea25d95244d9b) + -
[`(complex_matrix A) : complex_matrix`](complex_matrix_operations.qmd#index-entry-99c3b184331464981edec14b1ad54d7ed2f94251) (complex_matrix_operations.html)
+ -
[`(matrix A) : matrix`](matrix_operations.qmd#index-entry-e4997fec1a21248abde86960359ea25d95244d9b) (matrix_operations.html)
## T -**tail**: +**tail**: - - [`(array[] T sv, int n) : array[] T`](matrix_operations.qmd#index-entry-4cdc4c7bbfd1b9012474960694df39fd3ac0bd73) - - [`(complex_row_vector rv, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-104f1db13950e7c221c9ce66c329f9ebb415fbe2) - - [`(complex_vector v, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-5072d264c287300a4f02919b52048769218f5864) - - [`(row_vector rv, int n) : row_vector`](matrix_operations.qmd#index-entry-aa91264e50992aae5e2a411f1e27c3136e23148a) - - [`(vector v, int n) : vector`](matrix_operations.qmd#index-entry-c59d1ebbba5b4cd5cf3ff22130cb426b46df662a) + -
[`(array[] T sv, int n) : array[] T`](matrix_operations.qmd#index-entry-4cdc4c7bbfd1b9012474960694df39fd3ac0bd73) (matrix_operations.html)
+ -
[`(complex_row_vector rv, int n) : complex_row_vector`](complex_matrix_operations.qmd#index-entry-104f1db13950e7c221c9ce66c329f9ebb415fbe2) (complex_matrix_operations.html)
+ -
[`(complex_vector v, int n) : complex_vector`](complex_matrix_operations.qmd#index-entry-5072d264c287300a4f02919b52048769218f5864) (complex_matrix_operations.html)
+ -
[`(row_vector rv, int n) : row_vector`](matrix_operations.qmd#index-entry-aa91264e50992aae5e2a411f1e27c3136e23148a) (matrix_operations.html)
+ -
[`(vector v, int n) : vector`](matrix_operations.qmd#index-entry-c59d1ebbba5b4cd5cf3ff22130cb426b46df662a) (matrix_operations.html)
-**tan**: +**tan**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-e54110489bc4cabaef154e4257634208c6acce5f) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-02f62dc1271129383c9e257d1a6dea18851a7411) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-e54110489bc4cabaef154e4257634208c6acce5f) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-02f62dc1271129383c9e257d1a6dea18851a7411) (real-valued_basic_functions.html)
-**tanh**: +**tanh**: - - [`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-23b49be15163071c1ebe75f992e21daaba8d915f) - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4f8f8565db3a7961f780e532e82cd5db1659bdc9) + -
[`(complex z) : complex`](complex-valued_basic_functions.qmd#index-entry-23b49be15163071c1ebe75f992e21daaba8d915f) (complex-valued_basic_functions.html)
+ -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4f8f8565db3a7961f780e532e82cd5db1659bdc9) (real-valued_basic_functions.html)
-**target**: +**target**: - - [`() : real`](real-valued_basic_functions.qmd#index-entry-138fdd54bc9b599fe8f41f4558f1be1aa3ace172) + -
[`() : real`](real-valued_basic_functions.qmd#index-entry-138fdd54bc9b599fe8f41f4558f1be1aa3ace172) (real-valued_basic_functions.html)
-**tcrossprod**: +**tcrossprod**: - - [`(matrix x) : matrix`](matrix_operations.qmd#index-entry-0debd0686ed364955c554407a48932c2cc0e1ecf) + -
[`(matrix x) : matrix`](matrix_operations.qmd#index-entry-0debd0686ed364955c554407a48932c2cc0e1ecf) (matrix_operations.html)
-**tgamma**: +**tgamma**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-86c34f22971aeaafc52aaea7501baa231b8ce5e4) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-86c34f22971aeaafc52aaea7501baa231b8ce5e4) (real-valued_basic_functions.html)
-**to_array_1d**: +**to_array_1d**: - - [`(array[...] complex a) : array[] complex`](mixed_operations.qmd#index-entry-a283222b01f625bc6705e111e10bdc2759e3d24c) - - [`(array[...] int a) : array[] int`](mixed_operations.qmd#index-entry-febcf6672aef91647fe55778211ffd168082990f) - - [`(array[...] real a) : array[] real`](mixed_operations.qmd#index-entry-d4bca2f4496bd91a3f19415933ba8d5dee724894) - - [`(complex_matrix m) : array[] complex`](mixed_operations.qmd#index-entry-841e76b5eb14b885bfb8ea725edd4531171d3dc7) - - [`(complex_row_vector v) : array[] complex`](mixed_operations.qmd#index-entry-9dbf7ca0cd05cc0137132abe8de599edc8db6fb6) - - [`(complex_vector v) : array[] real`](mixed_operations.qmd#index-entry-242195f746365e4ab07756d8dfc2d627d760131c) - - [`(matrix m) : array[] real`](mixed_operations.qmd#index-entry-89bbd3b92786cfeacbc58a9b8e1815eb4704fe94) - - [`(row_vector v) : array[] real`](mixed_operations.qmd#index-entry-d5e3525dd3b1532ec70529a13582b2ac5684b7a4) - - [`(vector v) : array[] real`](mixed_operations.qmd#index-entry-2f5e845bb7c1046346206e70df45afa871d3bbca) + -
[`(array[...] complex a) : array[] complex`](mixed_operations.qmd#index-entry-a283222b01f625bc6705e111e10bdc2759e3d24c) (mixed_operations.html)
+ -
[`(array[...] int a) : array[] int`](mixed_operations.qmd#index-entry-febcf6672aef91647fe55778211ffd168082990f) (mixed_operations.html)
+ -
[`(array[...] real a) : array[] real`](mixed_operations.qmd#index-entry-d4bca2f4496bd91a3f19415933ba8d5dee724894) (mixed_operations.html)
+ -
[`(complex_matrix m) : array[] complex`](mixed_operations.qmd#index-entry-841e76b5eb14b885bfb8ea725edd4531171d3dc7) (mixed_operations.html)
+ -
[`(complex_row_vector v) : array[] complex`](mixed_operations.qmd#index-entry-9dbf7ca0cd05cc0137132abe8de599edc8db6fb6) (mixed_operations.html)
+ -
[`(complex_vector v) : array[] real`](mixed_operations.qmd#index-entry-242195f746365e4ab07756d8dfc2d627d760131c) (mixed_operations.html)
+ -
[`(matrix m) : array[] real`](mixed_operations.qmd#index-entry-89bbd3b92786cfeacbc58a9b8e1815eb4704fe94) (mixed_operations.html)
+ -
[`(row_vector v) : array[] real`](mixed_operations.qmd#index-entry-d5e3525dd3b1532ec70529a13582b2ac5684b7a4) (mixed_operations.html)
+ -
[`(vector v) : array[] real`](mixed_operations.qmd#index-entry-2f5e845bb7c1046346206e70df45afa871d3bbca) (mixed_operations.html)
-**to_array_2d**: +**to_array_2d**: - - [`(complex_matrix m) : array[,] real`](mixed_operations.qmd#index-entry-67b1d2f656b711d5b1f916e3e04e26038c9d38d6) - - [`(matrix m) : array[,] real`](mixed_operations.qmd#index-entry-1523c6dc72269a2b99daf2481a6f15790faf2dd7) + -
[`(complex_matrix m) : array[,] real`](mixed_operations.qmd#index-entry-67b1d2f656b711d5b1f916e3e04e26038c9d38d6) (mixed_operations.html)
+ -
[`(matrix m) : array[,] real`](mixed_operations.qmd#index-entry-1523c6dc72269a2b99daf2481a6f15790faf2dd7) (mixed_operations.html)
-**to_complex**: +**to_complex**: - - [`() : complex`](complex-valued_basic_functions.qmd#index-entry-a10094b116ddff99cf1ba20f448c331b23a70d51) - - [`(real re) : complex`](complex-valued_basic_functions.qmd#index-entry-8cc4a1be479f01313e354510097189d0ab95da1a) - - [`(real re, real im) : complex`](complex-valued_basic_functions.qmd#index-entry-982b3b69d3e75c559ef3cada7b1212eecc087fac) - - [`(T1 re, T2 im) : Z`](complex-valued_basic_functions.qmd#index-entry-e003c1a960f7ece5344e1cd438e4a3ce92e225e9) + -
[`() : complex`](complex-valued_basic_functions.qmd#index-entry-a10094b116ddff99cf1ba20f448c331b23a70d51) (complex-valued_basic_functions.html)
+ -
[`(real re) : complex`](complex-valued_basic_functions.qmd#index-entry-8cc4a1be479f01313e354510097189d0ab95da1a) (complex-valued_basic_functions.html)
+ -
[`(real re, real im) : complex`](complex-valued_basic_functions.qmd#index-entry-982b3b69d3e75c559ef3cada7b1212eecc087fac) (complex-valued_basic_functions.html)
+ -
[`(T1 re, T2 im) : Z`](complex-valued_basic_functions.qmd#index-entry-e003c1a960f7ece5344e1cd438e4a3ce92e225e9) (complex-valued_basic_functions.html)
-**to_int**: +**to_int**: - - [`(data real x) : int`](integer-valued_basic_functions.qmd#index-entry-04b9411b8a7b904eccd2c168519bf4ccca638602) + -
[`(data real x) : int`](integer-valued_basic_functions.qmd#index-entry-04b9411b8a7b904eccd2c168519bf4ccca638602) (integer-valued_basic_functions.html)
-**to_matrix**: +**to_matrix**: - - [`(array[,] complex a ) : complex_matrix`](mixed_operations.qmd#index-entry-e92b8a0a6976052fa8b22b2d2678e9daa1dc22b0) - - [`(array[,] int a) : matrix`](mixed_operations.qmd#index-entry-3e8783df8a1f5a3a9252432f08e410ff98dcc3cc) - - [`(array[,] real a) : matrix`](mixed_operations.qmd#index-entry-57abafe2911be5f079350cd935db3790df0e435b) - - [`(array[] complex a, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-bf764d9c03e5342181199ab42cf29145c1ad5854) - - [`(array[] complex a, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-cae4771e239eee8858e814def2ab98579b41b5eb) - - [`(array[] complex_row_vector vs) : complex_matrix`](mixed_operations.qmd#index-entry-30e7bab8b93cd06e7e722a69f87795853a321d6f) - - [`(array[] int a, int m, int n) : matrix`](mixed_operations.qmd#index-entry-e84dbcb742d813d14126e7e47ce17fad4d98c4ce) - - [`(array[] int a, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-2114a4d1eb26abd7a5a168f852fa2824b04264a7) - - [`(array[] real a, int m, int n) : matrix`](mixed_operations.qmd#index-entry-437db9cf0cf2250154a98c0bdad40ed9b384a755) - - [`(array[] real a, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-49a6288ee0b5970768e1b5eb800c235cdc531dcb) - - [`(array[] row_vector vs) : matrix`](mixed_operations.qmd#index-entry-43ba4671c0aedffb35391977e1454635f31140b1) - - [`(complex_matrix A, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-e90eb83d724da49ec11f03ab61860acf90355da5) - - [`(complex_matrix m) : complex_matrix`](mixed_operations.qmd#index-entry-1adffb84d0b4c5a1ad67ca2dce769cbdf687f577) - - [`(complex_matrix M, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-847d5e8f061de6894025068cf5f2eb0ba8215a31) - - [`(complex_row_vector v) : complex_matrix`](mixed_operations.qmd#index-entry-80cf0f8d6dea99916e4e16a9a5c04829bb454065) - - [`(complex_row_vector v, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-0b65adda0355db4bb294b2accb6ac1294603c298) - - [`(complex_row_vector v, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-23ae52701cdc53e4b1252d837f1fd68b9cf3c092) - - [`(complex_vector v) : complex_matrix`](mixed_operations.qmd#index-entry-aef6a0f55fed76a89b125774992391483f616f15) - - [`(complex_vector v, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-b6f6e03fe842ef9ce3d6ca9aabb56537f122d502) - - [`(complex_vector v, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-38aaa00ecbf298c2b6ea8664028ae6e1db65995b) - - [`(matrix A, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-ce9fd0a6767674968523193f7115d495489cf449) - - [`(matrix m) : matrix`](mixed_operations.qmd#index-entry-98af15f087742b3c48602bac340d541ab6538cc6) - - [`(matrix M, int m, int n) : matrix`](mixed_operations.qmd#index-entry-c513be95c486e67bd8b313bb220e6184fea9292a) - - [`(row_vector v) : matrix`](mixed_operations.qmd#index-entry-792df8d223c6b836eee60bf39ca9d7d3f3e159b7) - - [`(row_vector v, int m, int n) : matrix`](mixed_operations.qmd#index-entry-ed0fbc154447855f068f1a47cdf0f67c288a21d0) - - [`(row_vector v, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-7f27f7aa2cd34abf4dc96d66caac862b24766c48) - - [`(vector v) : matrix`](mixed_operations.qmd#index-entry-50fdb634f6d81eb2f8f0a2b2aba97a29cb575e69) - - [`(vector v, int m, int n) : matrix`](mixed_operations.qmd#index-entry-aed7ba7d91d4311c9ff956befae058ab2c5a56d5) - - [`(vector v, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-0cf7e9303e3c6015089d4d776f68673d9becfe06) + -
[`(array[,] complex a ) : complex_matrix`](mixed_operations.qmd#index-entry-e92b8a0a6976052fa8b22b2d2678e9daa1dc22b0) (mixed_operations.html)
+ -
[`(array[,] int a) : matrix`](mixed_operations.qmd#index-entry-3e8783df8a1f5a3a9252432f08e410ff98dcc3cc) (mixed_operations.html)
+ -
[`(array[,] real a) : matrix`](mixed_operations.qmd#index-entry-57abafe2911be5f079350cd935db3790df0e435b) (mixed_operations.html)
+ -
[`(array[] complex a, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-bf764d9c03e5342181199ab42cf29145c1ad5854) (mixed_operations.html)
+ -
[`(array[] complex a, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-cae4771e239eee8858e814def2ab98579b41b5eb) (mixed_operations.html)
+ -
[`(array[] complex_row_vector vs) : complex_matrix`](mixed_operations.qmd#index-entry-30e7bab8b93cd06e7e722a69f87795853a321d6f) (mixed_operations.html)
+ -
[`(array[] int a, int m, int n) : matrix`](mixed_operations.qmd#index-entry-e84dbcb742d813d14126e7e47ce17fad4d98c4ce) (mixed_operations.html)
+ -
[`(array[] int a, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-2114a4d1eb26abd7a5a168f852fa2824b04264a7) (mixed_operations.html)
+ -
[`(array[] real a, int m, int n) : matrix`](mixed_operations.qmd#index-entry-437db9cf0cf2250154a98c0bdad40ed9b384a755) (mixed_operations.html)
+ -
[`(array[] real a, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-49a6288ee0b5970768e1b5eb800c235cdc531dcb) (mixed_operations.html)
+ -
[`(array[] row_vector vs) : matrix`](mixed_operations.qmd#index-entry-43ba4671c0aedffb35391977e1454635f31140b1) (mixed_operations.html)
+ -
[`(complex_matrix A, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-e90eb83d724da49ec11f03ab61860acf90355da5) (mixed_operations.html)
+ -
[`(complex_matrix m) : complex_matrix`](mixed_operations.qmd#index-entry-1adffb84d0b4c5a1ad67ca2dce769cbdf687f577) (mixed_operations.html)
+ -
[`(complex_matrix M, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-847d5e8f061de6894025068cf5f2eb0ba8215a31) (mixed_operations.html)
+ -
[`(complex_row_vector v) : complex_matrix`](mixed_operations.qmd#index-entry-80cf0f8d6dea99916e4e16a9a5c04829bb454065) (mixed_operations.html)
+ -
[`(complex_row_vector v, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-0b65adda0355db4bb294b2accb6ac1294603c298) (mixed_operations.html)
+ -
[`(complex_row_vector v, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-23ae52701cdc53e4b1252d837f1fd68b9cf3c092) (mixed_operations.html)
+ -
[`(complex_vector v) : complex_matrix`](mixed_operations.qmd#index-entry-aef6a0f55fed76a89b125774992391483f616f15) (mixed_operations.html)
+ -
[`(complex_vector v, int m, int n) : complex_matrix`](mixed_operations.qmd#index-entry-b6f6e03fe842ef9ce3d6ca9aabb56537f122d502) (mixed_operations.html)
+ -
[`(complex_vector v, int m, int n, int col_major) : complex_matrix`](mixed_operations.qmd#index-entry-38aaa00ecbf298c2b6ea8664028ae6e1db65995b) (mixed_operations.html)
+ -
[`(matrix A, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-ce9fd0a6767674968523193f7115d495489cf449) (mixed_operations.html)
+ -
[`(matrix m) : matrix`](mixed_operations.qmd#index-entry-98af15f087742b3c48602bac340d541ab6538cc6) (mixed_operations.html)
+ -
[`(matrix M, int m, int n) : matrix`](mixed_operations.qmd#index-entry-c513be95c486e67bd8b313bb220e6184fea9292a) (mixed_operations.html)
+ -
[`(row_vector v) : matrix`](mixed_operations.qmd#index-entry-792df8d223c6b836eee60bf39ca9d7d3f3e159b7) (mixed_operations.html)
+ -
[`(row_vector v, int m, int n) : matrix`](mixed_operations.qmd#index-entry-ed0fbc154447855f068f1a47cdf0f67c288a21d0) (mixed_operations.html)
+ -
[`(row_vector v, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-7f27f7aa2cd34abf4dc96d66caac862b24766c48) (mixed_operations.html)
+ -
[`(vector v) : matrix`](mixed_operations.qmd#index-entry-50fdb634f6d81eb2f8f0a2b2aba97a29cb575e69) (mixed_operations.html)
+ -
[`(vector v, int m, int n) : matrix`](mixed_operations.qmd#index-entry-aed7ba7d91d4311c9ff956befae058ab2c5a56d5) (mixed_operations.html)
+ -
[`(vector v, int m, int n, int col_major) : matrix`](mixed_operations.qmd#index-entry-0cf7e9303e3c6015089d4d776f68673d9becfe06) (mixed_operations.html)
-**to_row_vector**: +**to_row_vector**: - - [`(array[] complex a) : complex_row_vector`](mixed_operations.qmd#index-entry-a7fd1cdc7869d1b6354acbb6c4d601343e80bc32) - - [`(array[] int a) : row_vector`](mixed_operations.qmd#index-entry-dfad2435683430f7d34faf59c9ef36aaeef30c0f) - - [`(array[] real a) : row_vector`](mixed_operations.qmd#index-entry-cea7d9d7492857fd3d8ca4b00cbb08cd09beb181) - - [`(complex_matrix m) : complex_row_vector`](mixed_operations.qmd#index-entry-48b04a9a3d0a2ba72b4564f6c56c7787d7d85a3d) - - [`(complex_row_vector v) : complex_row_vector`](mixed_operations.qmd#index-entry-c2aadf6729da7ef673b6e4729cd3640e7e8ff075) - - [`(complex_vector v) : complex_row_vector`](mixed_operations.qmd#index-entry-91aa719d0ab39507c033078fbe737e6992bf641b) - - [`(matrix m) : row_vector`](mixed_operations.qmd#index-entry-2233e067e71fece1a5091dbf29c83f891c0c53ac) - - [`(row_vector v) : row_vector`](mixed_operations.qmd#index-entry-dd3935354cbe9c750365fa9d199935099c0fccd5) - - [`(vector v) : row_vector`](mixed_operations.qmd#index-entry-d10d7dd47bea28e9f6be7cb1fee79ba98a6291e2) + -
[`(array[] complex a) : complex_row_vector`](mixed_operations.qmd#index-entry-a7fd1cdc7869d1b6354acbb6c4d601343e80bc32) (mixed_operations.html)
+ -
[`(array[] int a) : row_vector`](mixed_operations.qmd#index-entry-dfad2435683430f7d34faf59c9ef36aaeef30c0f) (mixed_operations.html)
+ -
[`(array[] real a) : row_vector`](mixed_operations.qmd#index-entry-cea7d9d7492857fd3d8ca4b00cbb08cd09beb181) (mixed_operations.html)
+ -
[`(complex_matrix m) : complex_row_vector`](mixed_operations.qmd#index-entry-48b04a9a3d0a2ba72b4564f6c56c7787d7d85a3d) (mixed_operations.html)
+ -
[`(complex_row_vector v) : complex_row_vector`](mixed_operations.qmd#index-entry-c2aadf6729da7ef673b6e4729cd3640e7e8ff075) (mixed_operations.html)
+ -
[`(complex_vector v) : complex_row_vector`](mixed_operations.qmd#index-entry-91aa719d0ab39507c033078fbe737e6992bf641b) (mixed_operations.html)
+ -
[`(matrix m) : row_vector`](mixed_operations.qmd#index-entry-2233e067e71fece1a5091dbf29c83f891c0c53ac) (mixed_operations.html)
+ -
[`(row_vector v) : row_vector`](mixed_operations.qmd#index-entry-dd3935354cbe9c750365fa9d199935099c0fccd5) (mixed_operations.html)
+ -
[`(vector v) : row_vector`](mixed_operations.qmd#index-entry-d10d7dd47bea28e9f6be7cb1fee79ba98a6291e2) (mixed_operations.html)
-**to_vector**: +**to_vector**: - - [`(array[] complex a) : complex_vector`](mixed_operations.qmd#index-entry-b7e01d700955b123c6a7d94113e75dae2182ca9d) - - [`(array[] int a) : vector`](mixed_operations.qmd#index-entry-32661d5b8760ecddd2d8777793db7ece329e55ec) - - [`(array[] real a) : vector`](mixed_operations.qmd#index-entry-c912c1c0f3589db9d1a5d2bffb2b3b697c20f3d7) - - [`(complex_matrix m) : complex_vector`](mixed_operations.qmd#index-entry-038b0de9dc724055453f09b0cbcbd18ed0b245f5) - - [`(complex_row_vector v) : complex_vector`](mixed_operations.qmd#index-entry-5976d67e9306d7472825e4d06e32e82b5c9ed3b0) - - [`(complex_vector v) : complex_vector`](mixed_operations.qmd#index-entry-d05604f9063eb5e5f46e231e2dedd8a2be6250c3) - - [`(matrix m) : vector`](mixed_operations.qmd#index-entry-6f0903591f2ae71c76fb2f1c0a3330e7a39749c3) - - [`(row_vector v) : vector`](mixed_operations.qmd#index-entry-3c628a0f6a20eda39461617826fd33046b2dc1c3) - - [`(vector v) : vector`](mixed_operations.qmd#index-entry-5eaf76d379576fc126f8cb1a1ddde01467fd11b4) + -
[`(array[] complex a) : complex_vector`](mixed_operations.qmd#index-entry-b7e01d700955b123c6a7d94113e75dae2182ca9d) (mixed_operations.html)
+ -
[`(array[] int a) : vector`](mixed_operations.qmd#index-entry-32661d5b8760ecddd2d8777793db7ece329e55ec) (mixed_operations.html)
+ -
[`(array[] real a) : vector`](mixed_operations.qmd#index-entry-c912c1c0f3589db9d1a5d2bffb2b3b697c20f3d7) (mixed_operations.html)
+ -
[`(complex_matrix m) : complex_vector`](mixed_operations.qmd#index-entry-038b0de9dc724055453f09b0cbcbd18ed0b245f5) (mixed_operations.html)
+ -
[`(complex_row_vector v) : complex_vector`](mixed_operations.qmd#index-entry-5976d67e9306d7472825e4d06e32e82b5c9ed3b0) (mixed_operations.html)
+ -
[`(complex_vector v) : complex_vector`](mixed_operations.qmd#index-entry-d05604f9063eb5e5f46e231e2dedd8a2be6250c3) (mixed_operations.html)
+ -
[`(matrix m) : vector`](mixed_operations.qmd#index-entry-6f0903591f2ae71c76fb2f1c0a3330e7a39749c3) (mixed_operations.html)
+ -
[`(row_vector v) : vector`](mixed_operations.qmd#index-entry-3c628a0f6a20eda39461617826fd33046b2dc1c3) (mixed_operations.html)
+ -
[`(vector v) : vector`](mixed_operations.qmd#index-entry-5eaf76d379576fc126f8cb1a1ddde01467fd11b4) (mixed_operations.html)
-**trace**: +**trace**: - - [`(complex_matrix A) : complex`](complex_matrix_operations.qmd#index-entry-c811524b370c422ec42cb96ee9cedc298094e51a) - - [`(matrix A) : real`](matrix_operations.qmd#index-entry-932fc0bd0a556886a853004f8ad6bc3432760b62) + -
[`(complex_matrix A) : complex`](complex_matrix_operations.qmd#index-entry-c811524b370c422ec42cb96ee9cedc298094e51a) (complex_matrix_operations.html)
+ -
[`(matrix A) : real`](matrix_operations.qmd#index-entry-932fc0bd0a556886a853004f8ad6bc3432760b62) (matrix_operations.html)
-**trace_gen_quad_form**: +**trace_gen_quad_form**: - - [`(matrix D,matrix A, matrix B) : real`](matrix_operations.qmd#index-entry-518a194d883c53498ccdcf91b73a6a385ecc99b7) + -
[`(matrix D,matrix A, matrix B) : real`](matrix_operations.qmd#index-entry-518a194d883c53498ccdcf91b73a6a385ecc99b7) (matrix_operations.html)
-**trace_quad_form**: +**trace_quad_form**: - - [`(matrix A, matrix B) : real`](matrix_operations.qmd#index-entry-9e673dba39e3d7e6297d26eda1aaa01ff737cd89) + -
[`(matrix A, matrix B) : real`](matrix_operations.qmd#index-entry-9e673dba39e3d7e6297d26eda1aaa01ff737cd89) (matrix_operations.html)
-**trigamma**: +**trigamma**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-af71c258411af390fa86b5cee39043dc0f7aa2aa) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-af71c258411af390fa86b5cee39043dc0f7aa2aa) (real-valued_basic_functions.html)
-**trunc**: +**trunc**: - - [`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4a8fc8e985608887eaa81d790ca2ee2e93e9c16e) + -
[`(T x) : R`](real-valued_basic_functions.qmd#index-entry-4a8fc8e985608887eaa81d790ca2ee2e93e9c16e) (real-valued_basic_functions.html)
## U -**uniform**: +**uniform**: - - [distribution statement](bounded_continuous_distributions.qmd#index-entry-69818db9c270c04d0dc488ff67849b0468ace0a2) + -
[distribution statement](bounded_continuous_distributions.qmd#index-entry-69818db9c270c04d0dc488ff67849b0468ace0a2) (bounded_continuous_distributions.html)
-**uniform_cdf**: +**uniform_cdf**: - - [`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-900d3b829004efdfb52e8a87bb4e3db6f8dc7e2f) + -
[`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-900d3b829004efdfb52e8a87bb4e3db6f8dc7e2f) (bounded_continuous_distributions.html)
-**uniform_lccdf**: +**uniform_lccdf**: - - [`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-82f75d6a35e833738553f28093a1965fde067385) + -
[`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-82f75d6a35e833738553f28093a1965fde067385) (bounded_continuous_distributions.html)
-**uniform_lcdf**: +**uniform_lcdf**: - - [`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-2d8ca4cf434451528427871a1554072069737db0) + -
[`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-2d8ca4cf434451528427871a1554072069737db0) (bounded_continuous_distributions.html)
-**uniform_lpdf**: +**uniform_lpdf**: - - [`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-cb6789cd6142d930347246410f7f33f97c3a02d6) + -
[`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-cb6789cd6142d930347246410f7f33f97c3a02d6) (bounded_continuous_distributions.html)
-**uniform_lupdf**: +**uniform_lupdf**: - - [`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-7de2ecbf83919f5a16933fa6cc4876a9cced78c9) + -
[`(reals y | reals alpha, reals beta) : real`](bounded_continuous_distributions.qmd#index-entry-7de2ecbf83919f5a16933fa6cc4876a9cced78c9) (bounded_continuous_distributions.html)
-**uniform_rng**: +**uniform_rng**: - - [`(reals alpha, reals beta) : R`](bounded_continuous_distributions.qmd#index-entry-bbdbbdc16c0990d4e4cc5876ee605cf3c8bcb6be) + -
[`(reals alpha, reals beta) : R`](bounded_continuous_distributions.qmd#index-entry-bbdbbdc16c0990d4e4cc5876ee605cf3c8bcb6be) (bounded_continuous_distributions.html)
-**uniform_simplex**: +**uniform_simplex**: - - [`(int n) : vector`](matrix_operations.qmd#index-entry-2dec8337a5bdb9528da444f890d895306c7de4e2) + -
[`(int n) : vector`](matrix_operations.qmd#index-entry-2dec8337a5bdb9528da444f890d895306c7de4e2) (matrix_operations.html)
## V -**variance**: +**variance**: - - [`(array[] real x) : real`](array_operations.qmd#index-entry-92ca3dfea614e505cf3d32942458a9c948f45e92) - - [`(matrix x) : real`](matrix_operations.qmd#index-entry-a59da01b6e381f01f0c9a08137440eea6455a2a2) - - [`(row_vector x) : real`](matrix_operations.qmd#index-entry-f595237eba9511d08bff024bd377900cc94e0c62) - - [`(vector x) : real`](matrix_operations.qmd#index-entry-500efa24724b539cd9b32e37fb5895b0cd48f91c) + -
[`(array[] real x) : real`](array_operations.qmd#index-entry-92ca3dfea614e505cf3d32942458a9c948f45e92) (array_operations.html)
+ -
[`(matrix x) : real`](matrix_operations.qmd#index-entry-a59da01b6e381f01f0c9a08137440eea6455a2a2) (matrix_operations.html)
+ -
[`(row_vector x) : real`](matrix_operations.qmd#index-entry-f595237eba9511d08bff024bd377900cc94e0c62) (matrix_operations.html)
+ -
[`(vector x) : real`](matrix_operations.qmd#index-entry-500efa24724b539cd9b32e37fb5895b0cd48f91c) (matrix_operations.html)
-**von_mises**: +**von_mises**: - - [distribution statement](circular_distributions.qmd#index-entry-f221b5198520eda13cdf889d916d8a03cdfa8be2) + -
[distribution statement](circular_distributions.qmd#index-entry-f221b5198520eda13cdf889d916d8a03cdfa8be2) (circular_distributions.html)
-**von_mises_cdf**: +**von_mises_cdf**: - - [`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-338b3220a2284559e37acf449e5797e8228eccec) + -
[`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-338b3220a2284559e37acf449e5797e8228eccec) (circular_distributions.html)
-**von_mises_lccdf**: +**von_mises_lccdf**: - - [`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-b597e729ddd78b9e20def4bc010de60d211a0e78) + -
[`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-b597e729ddd78b9e20def4bc010de60d211a0e78) (circular_distributions.html)
-**von_mises_lcdf**: +**von_mises_lcdf**: - - [`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-007efd59371f452dd7592246dd40178529aafdbf) + -
[`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-007efd59371f452dd7592246dd40178529aafdbf) (circular_distributions.html)
-**von_mises_lpdf**: +**von_mises_lpdf**: - - [`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-5da3c7b18a3059fdead5df590cb8ec3f315ab761) + -
[`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-5da3c7b18a3059fdead5df590cb8ec3f315ab761) (circular_distributions.html)
-**von_mises_lupdf**: +**von_mises_lupdf**: - - [`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-22013d6e68ae63899ad52c563e8bd7509807f9e5) + -
[`(reals y | reals mu, reals kappa) : real`](circular_distributions.qmd#index-entry-22013d6e68ae63899ad52c563e8bd7509807f9e5) (circular_distributions.html)
-**von_mises_rng**: +**von_mises_rng**: - - [`(reals mu, reals kappa) : R`](circular_distributions.qmd#index-entry-4deed6b0f3f1d7212c757bed3a7ab75376f4463c) + -
[`(reals mu, reals kappa) : R`](circular_distributions.qmd#index-entry-4deed6b0f3f1d7212c757bed3a7ab75376f4463c) (circular_distributions.html)
## W -**weibull**: +**weibull**: - - [distribution statement](positive_continuous_distributions.qmd#index-entry-d1783373dc225fca3334f2daff416bfaf76d19fb) + -
[distribution statement](positive_continuous_distributions.qmd#index-entry-d1783373dc225fca3334f2daff416bfaf76d19fb) (positive_continuous_distributions.html)
-**weibull_cdf**: +**weibull_cdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-bcc6a2519ae687354f1d256427ad98df385010f2) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-bcc6a2519ae687354f1d256427ad98df385010f2) (positive_continuous_distributions.html)
-**weibull_lccdf**: +**weibull_lccdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-1a56c82ab70897619b18238a305b239f0d09fb01) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-1a56c82ab70897619b18238a305b239f0d09fb01) (positive_continuous_distributions.html)
-**weibull_lcdf**: +**weibull_lcdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-90d29f1f2935caa157a84fa85aff411976e008ff) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-90d29f1f2935caa157a84fa85aff411976e008ff) (positive_continuous_distributions.html)
-**weibull_lpdf**: +**weibull_lpdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-3797583b218047be3359306086c47d43b91a7cad) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-3797583b218047be3359306086c47d43b91a7cad) (positive_continuous_distributions.html)
-**weibull_lupdf**: +**weibull_lupdf**: - - [`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-4d40f28dddfa369222ba458b9ff111fdb7747664) + -
[`(reals y | reals alpha, reals sigma) : real`](positive_continuous_distributions.qmd#index-entry-4d40f28dddfa369222ba458b9ff111fdb7747664) (positive_continuous_distributions.html)
-**weibull_rng**: +**weibull_rng**: - - [`(reals alpha, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-e84fd16978c29fe385bfa374bc3850c6a37a5347) + -
[`(reals alpha, reals sigma) : R`](positive_continuous_distributions.qmd#index-entry-e84fd16978c29fe385bfa374bc3850c6a37a5347) (positive_continuous_distributions.html)
-**wiener**: +**wiener**: - - [distribution statement](positive_lower-bounded_distributions.qmd#index-entry-a8609b3c51ac8487f51a5e8a445e626015dad49f) + -
[distribution statement](positive_lower-bounded_distributions.qmd#index-entry-a8609b3c51ac8487f51a5e8a445e626015dad49f) (positive_lower-bounded_distributions.html)
-**wiener_lpdf**: +**wiener_lpdf**: - - [`(real y | real alpha, real tau, real beta, real delta, real var_delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-dd5110522b6a5fb9baac9dab11ad3dca296d7a24) - - [`(real y | real alpha, real tau, real beta, real delta, real var_delta, real var_beta, real var_tau) : real`](positive_lower-bounded_distributions.qmd#index-entry-60f0354d0a8198be7994a9f5d5cab49f31a26aa1) - - [`(reals y | reals alpha, reals tau, reals beta, reals delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-7c21d286a5cd6e11195df3046653f79a72c95e63) + -
[`(real y | real alpha, real tau, real beta, real delta, real var_delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-dd5110522b6a5fb9baac9dab11ad3dca296d7a24) (positive_lower-bounded_distributions.html)
+ -
[`(real y | real alpha, real tau, real beta, real delta, real var_delta, real var_beta, real var_tau) : real`](positive_lower-bounded_distributions.qmd#index-entry-60f0354d0a8198be7994a9f5d5cab49f31a26aa1) (positive_lower-bounded_distributions.html)
+ -
[`(reals y | reals alpha, reals tau, reals beta, reals delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-7c21d286a5cd6e11195df3046653f79a72c95e63) (positive_lower-bounded_distributions.html)
-**wiener_lupdf**: +**wiener_lupdf**: - - [`(real y | real alpha, real tau, real beta, real delta, real var_delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-27fbddb7c175dbc42b3a77639443abb89b1c93ba) - - [`(real y | real alpha, real tau, real beta, real delta, real var_delta, real var_beta, real var_tau) : real`](positive_lower-bounded_distributions.qmd#index-entry-330634d3f68975f72410dd323545f5801a409119) - - [`(reals y | reals alpha, reals tau, reals beta, reals delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-9511656e972acbc5b9054dabc90abaa4214250d3) + -
[`(real y | real alpha, real tau, real beta, real delta, real var_delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-27fbddb7c175dbc42b3a77639443abb89b1c93ba) (positive_lower-bounded_distributions.html)
+ -
[`(real y | real alpha, real tau, real beta, real delta, real var_delta, real var_beta, real var_tau) : real`](positive_lower-bounded_distributions.qmd#index-entry-330634d3f68975f72410dd323545f5801a409119) (positive_lower-bounded_distributions.html)
+ -
[`(reals y | reals alpha, reals tau, reals beta, reals delta) : real`](positive_lower-bounded_distributions.qmd#index-entry-9511656e972acbc5b9054dabc90abaa4214250d3) (positive_lower-bounded_distributions.html)
-**wishart**: +**wishart**: - - [distribution statement](covariance_matrix_distributions.qmd#index-entry-5f58cfc02fd2621376aab535950c5b180adee3b0) + -
[distribution statement](covariance_matrix_distributions.qmd#index-entry-5f58cfc02fd2621376aab535950c5b180adee3b0) (covariance_matrix_distributions.html)
-**wishart_cholesky_lpdf**: +**wishart_cholesky_lpdf**: - - [`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-73fb720e23b1747c1083dedea45393a2c31d1a97) + -
[`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-73fb720e23b1747c1083dedea45393a2c31d1a97) (covariance_matrix_distributions.html)
-**wishart_cholesky_lupdf**: +**wishart_cholesky_lupdf**: - - [`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-f87979d321f7d0bb07867f16b505ba45fd7a7376) + -
[`(matrix L_W | real nu, matrix L_S) : real`](covariance_matrix_distributions.qmd#index-entry-f87979d321f7d0bb07867f16b505ba45fd7a7376) (covariance_matrix_distributions.html)
-**wishart_cholesky_rng**: +**wishart_cholesky_rng**: - - [`(real nu, matrix L_S) : matrix`](covariance_matrix_distributions.qmd#index-entry-311a69fbe7214ccc71cc4a5a9b6293967b467a38) + -
[`(real nu, matrix L_S) : matrix`](covariance_matrix_distributions.qmd#index-entry-311a69fbe7214ccc71cc4a5a9b6293967b467a38) (covariance_matrix_distributions.html)
-**wishart_lpdf**: +**wishart_lpdf**: - - [`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-9ebed125213e04734c320d50523b729c926de41e) + -
[`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-9ebed125213e04734c320d50523b729c926de41e) (covariance_matrix_distributions.html)
-**wishart_lupdf**: +**wishart_lupdf**: - - [`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-96892afabfd06300ee33a9c56e7aa11ef798d28c) + -
[`(matrix W | real nu, matrix Sigma) : real`](covariance_matrix_distributions.qmd#index-entry-96892afabfd06300ee33a9c56e7aa11ef798d28c) (covariance_matrix_distributions.html)
-**wishart_rng**: +**wishart_rng**: - - [`(real nu, matrix Sigma) : matrix`](covariance_matrix_distributions.qmd#index-entry-83370c265d9c1947eb72bc6d0aeab2570102b443) + -
[`(real nu, matrix Sigma) : matrix`](covariance_matrix_distributions.qmd#index-entry-83370c265d9c1947eb72bc6d0aeab2570102b443) (covariance_matrix_distributions.html)
## Z -**zeros_array**: +**zeros_array**: - - [`(int n) : array[] real`](matrix_operations.qmd#index-entry-9d79405416a0d21e4f87a6517060a784d4b5d2b7) + -
[`(int n) : array[] real`](matrix_operations.qmd#index-entry-9d79405416a0d21e4f87a6517060a784d4b5d2b7) (matrix_operations.html)
-**zeros_int_array**: +**zeros_int_array**: - - [`(int n) : array[] int`](matrix_operations.qmd#index-entry-2c7602e1d0977230b64541b764981fca1bf1ad21) + -
[`(int n) : array[] int`](matrix_operations.qmd#index-entry-2c7602e1d0977230b64541b764981fca1bf1ad21) (matrix_operations.html)
-**zeros_row_vector**: +**zeros_row_vector**: - - [`(int n) : row_vector`](matrix_operations.qmd#index-entry-7b23944569e7b31c1e4f17cc78de7996783733f1) - - [`(int n) : vector`](matrix_operations.qmd#index-entry-4a264e38cea89262c5e2f6393b6c9988eef3e937) + -
[`(int n) : row_vector`](matrix_operations.qmd#index-entry-7b23944569e7b31c1e4f17cc78de7996783733f1) (matrix_operations.html)
+ -
[`(int n) : vector`](matrix_operations.qmd#index-entry-4a264e38cea89262c5e2f6393b6c9988eef3e937) (matrix_operations.html)
diff --git a/src/theming/quarto_styles.css b/src/theming/quarto_styles.css index a82505d38..1332dacc1 100644 --- a/src/theming/quarto_styles.css +++ b/src/theming/quarto_styles.css @@ -311,12 +311,6 @@ a.nav-link.active { color: var(--stan-secondary);} a.sidebar-item-text.sidebar-link.active { color: var(--stan-secondary); } .sidebar.a.active { color: var(--stan-secondary); } -a.unlink { - color: inherit; - text-decoration: none; -} - - div [data-bs-target^="#quarto-sidebar-section"] { font-weight: bold; font-style: italic; @@ -412,3 +406,20 @@ pre.sourceCode { margin-above: -20em; padding: 0; } + +.index-container { + display: flex; + flex-flow: row nowrap; + align-items: flex-end; + justify-content: space-between; +} + +a.unlink { + color: inherit; + text-decoration: none; +} + +span.detail { + font-size: small; + color: var(--quarto-text-muted); +} From 26a43228a628fa405af8a24a49415f0da76f007b Mon Sep 17 00:00:00 2001 From: Brian Ward Date: Tue, 6 Aug 2024 12:46:24 -0400 Subject: [PATCH 3/3] Add comments to lua filter --- src/html-index.lua | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/src/html-index.lua b/src/html-index.lua index b841ba257..25c5930fb 100644 --- a/src/html-index.lua +++ b/src/html-index.lua @@ -22,6 +22,7 @@ end if quarto.doc.is_format("html") then -- latex uses mkindex, not this return { RawBlock = function(el) + -- this filter is in charge of producing the HTML anchors the index will link to if el.format == "html" then local indexEntry = extractIndexEntry(el.text) if indexEntry ~= nil then @@ -33,6 +34,9 @@ if quarto.doc.is_format("html") then -- latex uses mkindex, not this Strong = function(el2) return pandoc.walk_inline(el2, { Code = function(el3) + -- this filter produces links to the index from the function's name + -- Because we format these as **``functionName``** in the markdown + -- it will always be a Strong element containing a Code element if el3.text ~= nil then -- only create a link if this appears in the index local escaped = escape(el3.text)