From ed4c0691c112c821dc594a517a9787b42278ed89 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Mon, 17 Aug 2026 02:26:53 +0000 Subject: [PATCH 1/2] docs: update Markdown equation SVGs --- ...n_inverse_complementary_error_function.svg | 43 +++++ .../img/equation_inverse_error_function.svg | 84 ++++++++++ ...rse_error_function_series_coefficients.svg | 151 ++++++++++++++++++ 3 files changed, 278 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/erfcinvf/docs/img/equation_inverse_complementary_error_function.svg create mode 100644 lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function.svg create mode 100644 lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function_series_coefficients.svg diff --git a/lib/node_modules/@stdlib/math/base/special/erfcinvf/docs/img/equation_inverse_complementary_error_function.svg b/lib/node_modules/@stdlib/math/base/special/erfcinvf/docs/img/equation_inverse_complementary_error_function.svg new file mode 100644 index 000000000000..818345d4399d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/erfcinvf/docs/img/equation_inverse_complementary_error_function.svg @@ -0,0 +1,43 @@ + +e r f c Superscript negative 1 Baseline left-parenthesis 1 minus z right-parenthesis equals e r f Superscript negative 1 Baseline left-parenthesis z right-parenthesis + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function.svg b/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function.svg new file mode 100644 index 000000000000..0a7da374b944 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function.svg @@ -0,0 +1,84 @@ + +e r f Superscript negative 1 Baseline left-parenthesis z right-parenthesis equals sigma-summation Underscript k equals 0 Overscript normal infinity Endscripts StartFraction c Subscript k Baseline Over 2 k plus 1 EndFraction left-parenthesis StartFraction StartRoot pi EndRoot Over 2 EndFraction z right-parenthesis Superscript 2 k plus 1 + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function_series_coefficients.svg b/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function_series_coefficients.svg new file mode 100644 index 000000000000..987068fb58f0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/erfinvf/docs/img/equation_inverse_error_function_series_coefficients.svg @@ -0,0 +1,151 @@ + +c Subscript k Baseline equals sigma-summation Underscript m equals 0 Overscript k minus 1 Endscripts StartFraction c Subscript m Baseline c Subscript k minus 1 minus m Baseline Over left-parenthesis m plus 1 right-parenthesis left-parenthesis 2 m plus 1 right-parenthesis EndFraction equals StartSet 1 comma 1 comma seven sixths comma StartFraction 127 Over 90 EndFraction comma StartFraction 4369 Over 2520 EndFraction comma StartFraction 34807 Over 16200 EndFraction comma ellipsis EndSet + + + \ No newline at end of file From 55429c6462544b05a1c0757d56b3f083543ffa99 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Mon, 17 Aug 2026 02:28:10 +0000 Subject: [PATCH 2/2] docs: update Markdown equation elements --- .../@stdlib/math/base/special/erfcinvf/README.md | 5 +++++ .../@stdlib/math/base/special/erfinvf/README.md | 10 ++++++++++ .../@stdlib/math/base/special/exp2f/README.md | 2 +- .../@stdlib/math/base/special/expm1f/README.md | 2 +- .../@stdlib/stats/base/ndarray/dvariancech/README.md | 6 +++--- .../@stdlib/stats/base/ndarray/dvariancepn/README.md | 6 +++--- .../@stdlib/stats/base/ndarray/dvariancetk/README.md | 6 +++--- .../@stdlib/stats/base/ndarray/dvariancewd/README.md | 6 +++--- .../@stdlib/stats/base/ndarray/dvarianceyc/README.md | 6 +++--- 9 files changed, 32 insertions(+), 17 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/erfcinvf/README.md b/lib/node_modules/@stdlib/math/base/special/erfcinvf/README.md index c24c8502c69b..557129acf183 100644 --- a/lib/node_modules/@stdlib/math/base/special/erfcinvf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/erfcinvf/README.md @@ -32,6 +32,11 @@ The [inverse complementary error function][erfcinv] is defined as \mathop{\mathrm{erfc}}^{-1}(1-z) = \mathop{\mathrm{erf}}^{-1}(z) ``` + + where `erf^{-1}(z)` is the [inverse error function][@stdlib/math/base/special/erfinv]. diff --git a/lib/node_modules/@stdlib/math/base/special/erfinvf/README.md b/lib/node_modules/@stdlib/math/base/special/erfinvf/README.md index 9918f3c97b82..e705dbfb9434 100644 --- a/lib/node_modules/@stdlib/math/base/special/erfinvf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/erfinvf/README.md @@ -32,6 +32,11 @@ The [inverse error function][inverse-error-function] is defined in terms of the \mathop{\mathrm{erf}}^{-1}(z)=\sum_{k=0}^\infty\frac{c_k}{2k+1}\left (\frac{\sqrt{\pi}}{2}z\right )^{2k+1} ``` + + where `c_0 = 1` and @@ -42,6 +47,11 @@ where `c_0 = 1` and c_k=\sum_{m=0}^{k-1}\frac{c_m c_{k-1-m}}{(m+1)(2m+1)} = \left\{1,1,\frac{7}{6},\frac{127}{90},\frac{4369}{2520},\frac{34807}{16200},\ldots\right\} ``` + + diff --git a/lib/node_modules/@stdlib/math/base/special/exp2f/README.md b/lib/node_modules/@stdlib/math/base/special/exp2f/README.md index f621139ed603..9af93762fb06 100644 --- a/lib/node_modules/@stdlib/math/base/special/exp2f/README.md +++ b/lib/node_modules/@stdlib/math/base/special/exp2f/README.md @@ -33,7 +33,7 @@ y = 2^x ``` diff --git a/lib/node_modules/@stdlib/math/base/special/expm1f/README.md b/lib/node_modules/@stdlib/math/base/special/expm1f/README.md index 1d90b8ecbaf3..5c783a0b3b7b 100644 --- a/lib/node_modules/@stdlib/math/base/special/expm1f/README.md +++ b/lib/node_modules/@stdlib/math/base/special/expm1f/README.md @@ -33,7 +33,7 @@ y = e^x - 1 ``` diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md index f58f62c23d53..ed9fbc84d2e5 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md @@ -33,7 +33,7 @@ The population [variance][variance] of a finite size population of size `N` is g ``` @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -63,7 +63,7 @@ s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md index c4b6d607397d..58db3e40f947 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md @@ -33,7 +33,7 @@ The population [variance][variance] of a finite size population of size `N` is g ``` @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -63,7 +63,7 @@ s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md index 8dd6ffad91bb..ab3a4dccea50 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md @@ -33,7 +33,7 @@ The population [variance][variance] of a finite size population of size `N` is g ``` @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -63,7 +63,7 @@ s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md index 1e148400e419..c6302b663650 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md @@ -33,7 +33,7 @@ The population [variance][variance] of a finite size population of size `N` is g ``` @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -63,7 +63,7 @@ s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md index 8c4f5204fad2..d51d0c3197d6 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md @@ -33,7 +33,7 @@ The population [variance][variance] of a finite size population of size `N` is g ``` @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -63,7 +63,7 @@ s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ```