diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md index f22b5f60fce5..d4ff955ba89f 100644 --- a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md @@ -29,14 +29,14 @@ The [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] is de ```math -\frac{\partial \ell}{\partial w} = -\begin{cases} --x & \text{if } y - p > \epsilon, \\ -x & \text{if } p - y > \epsilon, \\ -0 & \text{otherwise.} -\end{cases} +\frac{\partial \ell}{\partial w} =\begin{cases}-x & \text{if } y - p > \epsilon, \\x & \text{if } p - y > \epsilon, \\0 & \text{otherwise.}\end{cases} ``` + + diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/img/equation_epsilon_insensitive_loss_gradient.svg b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/img/equation_epsilon_insensitive_loss_gradient.svg new file mode 100644 index 000000000000..75d13ba1caaa --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/img/equation_epsilon_insensitive_loss_gradient.svg @@ -0,0 +1,96 @@ + +StartFraction partial-differential script l Over partial-differential w EndFraction equals StartLayout Enlarged left-brace 1st Row 1st Column negative x 2nd Column if y minus p greater-than epsilon comma 2nd Row 1st Column x 2nd Column if p minus y greater-than epsilon comma 3rd Row 1st Column 0 2nd Column otherwise period EndLayout + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/README.md index e8d8b182c9f7..db5d41d6923c 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/README.md @@ -34,6 +34,11 @@ The [mean][mean] of an [anglit][anglit-distribution] random variable with locati \mathbb{E}\left[ X \right] = \mu ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/docs/img/equation_anglit_mean.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/docs/img/equation_anglit_mean.svg new file mode 100644 index 000000000000..01cbe489f072 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/docs/img/equation_anglit_mean.svg @@ -0,0 +1,21 @@ + +double-struck upper E left-bracket upper X right-bracket equals mu + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/median/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/median/README.md index d16b07a46de3..7e64e897b8fd 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/anglit/median/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/median/README.md @@ -34,6 +34,11 @@ The [median][median] for an [anglit][anglit-distribution] random variable with l \mathop{\mathrm{Median}}\left( X \right) = \mu ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/median/docs/img/equation_anglit_median.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/median/docs/img/equation_anglit_median.svg new file mode 100644 index 000000000000..cbbb8eb85462 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/median/docs/img/equation_anglit_median.svg @@ -0,0 +1,31 @@ + +upper M e d i a n left-parenthesis upper X right-parenthesis equals mu + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/README.md index a2d7fa5e8196..3e3409ebab65 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/README.md @@ -34,6 +34,11 @@ The [mode][mode] for an [anglit][anglit-distribution] random variable with locat \mathop{\mathrm{mode}}\left( X \right) = \mu ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/docs/img/equation_anglit_mode.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/docs/img/equation_anglit_mode.svg new file mode 100644 index 000000000000..8dc20fd38339 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/docs/img/equation_anglit_mode.svg @@ -0,0 +1,27 @@ + +m o d e left-parenthesis upper X right-parenthesis equals mu + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/README.md index a3f191fdb029..8249f5d6743a 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/README.md @@ -31,9 +31,14 @@ The [standard deviation][stdev] for an [anglit][anglit-distribution] random vari ```math -\mathop{\mathrm{SD}}\left( X \right) = \sigma \sqrt{\left({\frac{\pi^{2}}{16}}-\frac{1}{2}\right)} +\mathop{\mathrm{SD}}(X) = \sigma \sqrt{\left({\frac{\pi^{2}}{16}}-\frac{1}{2}\right)} ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/docs/img/equation_anglit_stdev.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/docs/img/equation_anglit_stdev.svg new file mode 100644 index 000000000000..2fb1e731029a --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/docs/img/equation_anglit_stdev.svg @@ -0,0 +1,58 @@ + +upper S upper D left-parenthesis upper X right-parenthesis equals sigma StartRoot left-parenthesis StartFraction pi squared Over 16 EndFraction minus one half right-parenthesis EndRoot + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md index 99abf13f1446..5a05454c2bc9 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md @@ -34,6 +34,11 @@ The [variance][variance] for an [anglit][anglit-distribution] random variable wi \mathop{\mathrm{Var}}\left( X \right) = \sigma^{2}\left({\frac{\pi^{2}}{16}}-{\frac{1}{2}}\right) ``` + + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg new file mode 100644 index 000000000000..7ee23258d8f4 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg @@ -0,0 +1,60 @@ + +normal upper V times normal a times normal r left-parenthesis upper X right-parenthesis equals sigma squared left-parenthesis StartFraction pi squared Over 16 EndFraction minus one half right-parenthesis + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/README.md index 3cc0ffbcf1e5..9bef2ac1941c 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/README.md @@ -33,7 +33,7 @@ F(x;\mu ,s)=\begin{cases} 0 & \text{ for } x < \mu - s \\ {\frac {1}{2}}\left[1\ ``` diff --git a/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg b/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg index 8b3fbd1ea558..56d92e77e474 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg +++ b/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg @@ -1,5 +1,5 @@ -upper F left-parenthesis x semicolon mu comma s right-parenthesis equals StartLayout Enlarged left-brace 1st Row 1st Column 0 2nd Column for x less-than mu minus s 2nd Row 1st Column one-half left-bracket 1 plus StartFraction x minus mu Over s EndFraction plus StartFraction 1 Over pi EndFraction sine left-parenthesis StartFraction x minus mu Over s EndFraction pi right-parenthesis right-bracket 2nd Column for mu minus s less-than-or-equal-to x less-than-or-equal-to mu plus s 3rd Row 1st Column 1 2nd Column for x greater-than mu plus s EndLayout +upper F left-parenthesis x semicolon mu comma s right-parenthesis equals StartLayout Enlarged left-brace 1st Row 1st Column 0 2nd Column for x less-than mu minus s 2nd Row 1st Column one half left-bracket 1 plus StartFraction x minus mu Over s EndFraction plus StartFraction 1 Over pi EndFraction sine left-parenthesis StartFraction x minus mu Over s EndFraction pi right-parenthesis right-bracket 2nd Column for mu minus s less-than-or-equal-to x less-than-or-equal-to mu plus s 3rd Row 1st Column 1 2nd Column for x greater-than mu plus s EndLayout