From fd38562ead49148cba5e41f298c4f24ac9948da5 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Sun, 16 Aug 2026 02:27:19 +0000 Subject: [PATCH 1/2] docs: update Markdown equation SVGs --- .../equation_base2_exponential_function.svg | 17 ++++++ ...natural_exponential_function_minus_one.svg | 21 +++++++ .../equation_corrected_sample_variance.svg | 61 +++++++++++++++++++ .../docs/img/equation_population_mean.svg | 42 +++++++++++++ .../docs/img/equation_population_variance.svg | 54 ++++++++++++++++ .../equation_corrected_sample_variance.svg | 61 +++++++++++++++++++ .../docs/img/equation_population_mean.svg | 42 +++++++++++++ .../docs/img/equation_population_variance.svg | 54 ++++++++++++++++ .../equation_corrected_sample_variance.svg | 61 +++++++++++++++++++ .../docs/img/equation_population_mean.svg | 42 +++++++++++++ .../docs/img/equation_population_variance.svg | 54 ++++++++++++++++ .../equation_corrected_sample_variance.svg | 61 +++++++++++++++++++ .../docs/img/equation_population_mean.svg | 42 +++++++++++++ .../docs/img/equation_population_variance.svg | 54 ++++++++++++++++ .../equation_corrected_sample_variance.svg | 61 +++++++++++++++++++ .../docs/img/equation_population_mean.svg | 42 +++++++++++++ .../docs/img/equation_population_variance.svg | 54 ++++++++++++++++ 17 files changed, 823 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/exp2f/docs/img/equation_base2_exponential_function.svg create mode 100644 lib/node_modules/@stdlib/math/base/special/expm1f/docs/img/equation_natural_exponential_function_minus_one.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_corrected_sample_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_mean.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_corrected_sample_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_mean.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_corrected_sample_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_mean.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_corrected_sample_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_mean.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_corrected_sample_variance.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_mean.svg create mode 100644 lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_variance.svg diff --git a/lib/node_modules/@stdlib/math/base/special/exp2f/docs/img/equation_base2_exponential_function.svg b/lib/node_modules/@stdlib/math/base/special/exp2f/docs/img/equation_base2_exponential_function.svg new file mode 100644 index 000000000000..ce1878e17845 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/exp2f/docs/img/equation_base2_exponential_function.svg @@ -0,0 +1,17 @@ + +y equals 2 Superscript x + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/expm1f/docs/img/equation_natural_exponential_function_minus_one.svg b/lib/node_modules/@stdlib/math/base/special/expm1f/docs/img/equation_natural_exponential_function_minus_one.svg new file mode 100644 index 000000000000..d335f094689f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/expm1f/docs/img/equation_natural_exponential_function_minus_one.svg @@ -0,0 +1,21 @@ + +y equals e Superscript x Baseline minus 1 + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_corrected_sample_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_corrected_sample_variance.svg new file mode 100644 index 000000000000..1ae1283e7fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_corrected_sample_variance.svg @@ -0,0 +1,61 @@ + +s squared equals StartFraction 1 Over n minus 1 EndFraction sigma-summation Underscript i equals 0 Overscript n minus 1 Endscripts left-parenthesis x Subscript i Baseline minus x overbar right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_mean.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_mean.svg new file mode 100644 index 000000000000..4bbdf0d2a56f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_mean.svg @@ -0,0 +1,42 @@ + +mu equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts x Subscript i + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_variance.svg new file mode 100644 index 000000000000..4130ba0750d2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/docs/img/equation_population_variance.svg @@ -0,0 +1,54 @@ + +sigma squared equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts left-parenthesis x Subscript i Baseline minus mu right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_corrected_sample_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_corrected_sample_variance.svg new file mode 100644 index 000000000000..1ae1283e7fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_corrected_sample_variance.svg @@ -0,0 +1,61 @@ + +s squared equals StartFraction 1 Over n minus 1 EndFraction sigma-summation Underscript i equals 0 Overscript n minus 1 Endscripts left-parenthesis x Subscript i Baseline minus x overbar right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_mean.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_mean.svg new file mode 100644 index 000000000000..4bbdf0d2a56f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_mean.svg @@ -0,0 +1,42 @@ + +mu equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts x Subscript i + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_variance.svg new file mode 100644 index 000000000000..4130ba0750d2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/docs/img/equation_population_variance.svg @@ -0,0 +1,54 @@ + +sigma squared equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts left-parenthesis x Subscript i Baseline minus mu right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_corrected_sample_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_corrected_sample_variance.svg new file mode 100644 index 000000000000..1ae1283e7fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_corrected_sample_variance.svg @@ -0,0 +1,61 @@ + +s squared equals StartFraction 1 Over n minus 1 EndFraction sigma-summation Underscript i equals 0 Overscript n minus 1 Endscripts left-parenthesis x Subscript i Baseline minus x overbar right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_mean.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_mean.svg new file mode 100644 index 000000000000..4bbdf0d2a56f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_mean.svg @@ -0,0 +1,42 @@ + +mu equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts x Subscript i + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_variance.svg new file mode 100644 index 000000000000..4130ba0750d2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/docs/img/equation_population_variance.svg @@ -0,0 +1,54 @@ + +sigma squared equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts left-parenthesis x Subscript i Baseline minus mu right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_corrected_sample_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_corrected_sample_variance.svg new file mode 100644 index 000000000000..1ae1283e7fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_corrected_sample_variance.svg @@ -0,0 +1,61 @@ + +s squared equals StartFraction 1 Over n minus 1 EndFraction sigma-summation Underscript i equals 0 Overscript n minus 1 Endscripts left-parenthesis x Subscript i Baseline minus x overbar right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_mean.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_mean.svg new file mode 100644 index 000000000000..4bbdf0d2a56f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_mean.svg @@ -0,0 +1,42 @@ + +mu equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts x Subscript i + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_variance.svg new file mode 100644 index 000000000000..4130ba0750d2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/docs/img/equation_population_variance.svg @@ -0,0 +1,54 @@ + +sigma squared equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts left-parenthesis x Subscript i Baseline minus mu right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_corrected_sample_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_corrected_sample_variance.svg new file mode 100644 index 000000000000..1ae1283e7fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_corrected_sample_variance.svg @@ -0,0 +1,61 @@ + +s squared equals StartFraction 1 Over n minus 1 EndFraction sigma-summation Underscript i equals 0 Overscript n minus 1 Endscripts left-parenthesis x Subscript i Baseline minus x overbar right-parenthesis squared + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_mean.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_mean.svg new file mode 100644 index 000000000000..4bbdf0d2a56f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_mean.svg @@ -0,0 +1,42 @@ + +mu equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts x Subscript i + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_variance.svg b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_variance.svg new file mode 100644 index 000000000000..4130ba0750d2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/docs/img/equation_population_variance.svg @@ -0,0 +1,54 @@ + +sigma squared equals StartFraction 1 Over upper N EndFraction sigma-summation Underscript i equals 0 Overscript upper N minus 1 Endscripts left-parenthesis x Subscript i Baseline minus mu right-parenthesis squared + + + \ No newline at end of file From 510e972935d02e998f9f2e088ddff4a4579a3c63 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Sun, 16 Aug 2026 02:28:15 +0000 Subject: [PATCH 2/2] docs: update Markdown equation elements --- .../@stdlib/math/base/special/exp2f/README.md | 5 +++++ .../@stdlib/math/base/special/expm1f/README.md | 5 +++++ .../@stdlib/stats/base/ndarray/dnanmeanwd/README.md | 2 +- .../@stdlib/stats/base/ndarray/dvariancech/README.md | 12 ++++++------ .../@stdlib/stats/base/ndarray/dvariancepn/README.md | 12 ++++++------ .../@stdlib/stats/base/ndarray/dvariancetk/README.md | 12 ++++++------ .../@stdlib/stats/base/ndarray/dvariancewd/README.md | 12 ++++++------ .../@stdlib/stats/base/ndarray/dvarianceyc/README.md | 12 ++++++------ 8 files changed, 41 insertions(+), 31 deletions(-) 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 74fae4563d84..f621139ed603 100644 --- a/lib/node_modules/@stdlib/math/base/special/exp2f/README.md +++ b/lib/node_modules/@stdlib/math/base/special/exp2f/README.md @@ -32,6 +32,11 @@ The base `2` [exponential function][exponential-function] is defined as y = 2^x ``` + + for any real number `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 317e640c2101..1d90b8ecbaf3 100644 --- a/lib/node_modules/@stdlib/math/base/special/expm1f/README.md +++ b/lib/node_modules/@stdlib/math/base/special/expm1f/README.md @@ -32,6 +32,11 @@ The natural [exponential function][exponential-function] minus one is defined as y = e^x - 1 ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/ndarray/dnanmeanwd/README.md b/lib/node_modules/@stdlib/stats/base/ndarray/dnanmeanwd/README.md index b7cf33566792..45296a6cf1b4 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dnanmeanwd/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dnanmeanwd/README.md @@ -33,7 +33,7 @@ The [arithmetic mean][arithmetic-mean] is defined as ``` 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 a007dafc016e..f58f62c23d53 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancech/README.md @@ -32,8 +32,8 @@ The population [variance][variance] of a finite size population of size `N` is g \sigma^2 = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu)^2 ``` - @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -62,8 +62,8 @@ Often in the analysis of data, the true population [variance][variance] is not k s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` - @@ -78,7 +78,7 @@ where the sample mean is given by ``` 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 3a34abd7ff1a..c4b6d607397d 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancepn/README.md @@ -32,8 +32,8 @@ The population [variance][variance] of a finite size population of size `N` is g \sigma^2 = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu)^2 ``` - @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -62,8 +62,8 @@ Often in the analysis of data, the true population [variance][variance] is not k s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` - @@ -78,7 +78,7 @@ where the sample mean is given by ``` 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 71b3cef211d5..8dd6ffad91bb 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancetk/README.md @@ -32,8 +32,8 @@ The population [variance][variance] of a finite size population of size `N` is g \sigma^2 = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu)^2 ``` - @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -62,8 +62,8 @@ Often in the analysis of data, the true population [variance][variance] is not k s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` - @@ -78,7 +78,7 @@ where the sample mean is given by ``` 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 c13dd977790f..1e148400e419 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvariancewd/README.md @@ -32,8 +32,8 @@ The population [variance][variance] of a finite size population of size `N` is g \sigma^2 = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu)^2 ``` - @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -62,8 +62,8 @@ Often in the analysis of data, the true population [variance][variance] is not k s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` - @@ -78,7 +78,7 @@ where the sample mean is given by ``` 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 a389c5f1df90..8c4f5204fad2 100644 --- a/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md +++ b/lib/node_modules/@stdlib/stats/base/ndarray/dvarianceyc/README.md @@ -32,8 +32,8 @@ The population [variance][variance] of a finite size population of size `N` is g \sigma^2 = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu)^2 ``` - @@ -48,7 +48,7 @@ where the population mean is given by ``` @@ -62,8 +62,8 @@ Often in the analysis of data, the true population [variance][variance] is not k s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2 ``` - @@ -78,7 +78,7 @@ where the sample mean is given by ```