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kgryte merged 2 commits into from
Jul 20, 2026
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docs: update Markdown equation elements #13579

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36161d5
docs: update Markdown equation SVGs
stdlib-bot Jul 20, 2026
50a8c68
docs: update Markdown equation elements
stdlib-bot Jul 20, 2026
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5 changes: 5 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/dxdy/README.md
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Expand Up @@ -32,6 +32,11 @@ This BLAS extension implements the operation
\mathbf{y} = \mathbf{x} \oslash \mathbf{y}
```

<!-- <div class="equation" align="center" data-raw-text="\mathbf{y} = \mathbf{x} \oslash \mathbf{y}" data-equation="eq:xdy">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@36161d55e65be0928435fab8edb222944f083cbd/lib/node_modules/@stdlib/blas/ext/base/ndarray/dxdy/docs/img/equation_xdy.svg" alt="Equation for xdy operation.">
<br>
</div> -->

<!-- </equation> -->

</section>
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16 changes: 16 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/dxdy/docs/img/equation_xdy.svg
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5 changes: 5 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/gxdy/README.md
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Expand Up @@ -32,6 +32,11 @@ This BLAS extension implements the operation
\mathbf{y} = \mathbf{x} \oslash \mathbf{y}
```

<!-- <div class="equation" align="center" data-raw-text="\mathbf{y} = \mathbf{x} \oslash \mathbf{y}" data-equation="eq:xdy">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@36161d55e65be0928435fab8edb222944f083cbd/lib/node_modules/@stdlib/blas/ext/base/ndarray/gxdy/docs/img/equation_xdy.svg" alt="Equation for xdy operation.">
<br>
</div> -->

<!-- </equation> -->

</section>
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16 changes: 16 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/gxdy/docs/img/equation_xdy.svg
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5 changes: 5 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/sxdy/README.md
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Expand Up @@ -32,6 +32,11 @@ This BLAS extension implements the operation
\mathbf{y} = \mathbf{x} \oslash \mathbf{y}
```

<!-- <div class="equation" align="center" data-raw-text="\mathbf{y} = \mathbf{x} \oslash \mathbf{y}" data-equation="eq:xdy">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@36161d55e65be0928435fab8edb222944f083cbd/lib/node_modules/@stdlib/blas/ext/base/ndarray/sxdy/docs/img/equation_xdy.svg" alt="Equation for xdy operation.">
<br>
</div> -->

<!-- </equation> -->

</section>
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16 changes: 16 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/sxdy/docs/img/equation_xdy.svg
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2 changes: 1 addition & 1 deletion ...ode_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md
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Expand Up @@ -33,7 +33,7 @@ The [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] is de
```

<!-- <div class="equation" align="center" data-raw-text="\frac{\partial \ell}{\partial w} =\begin{cases}-x &amp; \text{if } y - p &gt; \epsilon, \\x &amp; \text{if } p - y &gt; \epsilon, \\0 &amp; \text{otherwise.}\end{cases}" data-equation="eq:epsilon_insensitive_loss_gradient">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/img/equation_epsilon_insensitive_loss_gradient.svg" alt="Equation for the epsilon insensitive loss gradient.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/img/equation_epsilon_insensitive_loss_gradient.svg" alt="Equation for the epsilon insensitive loss gradient.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/anglit/mean/README.md
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Expand Up @@ -35,7 +35,7 @@ The [mean][mean] of an [anglit][anglit-distribution] random variable with locati
```

<!-- <div class="equation" align="center" data-raw-text="\mathbb{E}\left[ X \right] = \mu" data-equation="eq:anglit_mean">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/docs/img/equation_anglit_mean.svg" alt="Mean for an anglit distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/anglit/mean/docs/img/equation_anglit_mean.svg" alt="Mean for an anglit distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/anglit/median/README.md
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Expand Up @@ -35,7 +35,7 @@ The [median][median] for an [anglit][anglit-distribution] random variable with l
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{Median}\left( X \right) = \mu" data-equation="eq:anglit_median">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/anglit/median/docs/img/equation_anglit_median.svg" alt="Median for an anglit distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/anglit/median/docs/img/equation_anglit_median.svg" alt="Median for an anglit distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/anglit/mode/README.md
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Expand Up @@ -35,7 +35,7 @@ The [mode][mode] for an [anglit][anglit-distribution] random variable with locat
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{mode}\left( X \right) = \mu" data-equation="eq:anglit_mode">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/docs/img/equation_anglit_mode.svg" alt="Mode for an anglit distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/anglit/mode/docs/img/equation_anglit_mode.svg" alt="Mode for an anglit distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/README.md
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Expand Up @@ -35,7 +35,7 @@ The [standard deviation][stdev] for an [anglit][anglit-distribution] random vari
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{SD}(X) = \sigma \sqrt{\left({\frac{\pi^{2}}{16}}-\frac{1}{2}\right)}" data-equation="eq:anglit_stdev">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/docs/img/equation_anglit_stdev.svg" alt="Standard deviation for an anglit distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/anglit/stdev/docs/img/equation_anglit_stdev.svg" alt="Standard deviation for an anglit distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md
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Expand Up @@ -35,7 +35,7 @@ The [variance][variance] for an [anglit][anglit-distribution] random variable wi
```

<!-- <div class="equation" align="center" data-raw-text="\mathop{\mathrm{Var}}\left( X \right) = \sigma^{2}\left({\frac{\pi^{2}}{16}}-{\frac{1}{2}}\right)" data-equation="eq:anglit_variance">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg" alt="Variance for an anglit distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg" alt="Variance for an anglit distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/README.md
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Expand Up @@ -33,7 +33,7 @@ F(x;\mu ,s)=\begin{cases} 0 & \text{ for } x < \mu - s \\ {\frac {1}{2}}\left[1\
```

<!-- <div class="equation" align="center" data-raw-text="F(x;\mu ,s)=\begin{cases} 0 &amp; \text{ for } x &lt; \mu - s \\ {\frac {1}{2}}\left[1\!+\!{\frac {x\!-\!\mu }{s}}\!+\!{\frac {1}{\pi }}\sin \left({\frac {x\!-\!\mu }{s}}\,\pi \right)\right] &amp; \text{ for } \mu - s \le x \le \mu + s \\ 1 &amp; \text{ for } x &gt; \mu + s \end{cases}" data-equation="eq:cosine_cdf">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg" alt="Cumulative distribution function for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/cosine/cdf/docs/img/equation_cosine_cdf.svg" alt="Cumulative distribution function for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/kurtosis/README.md
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Expand Up @@ -35,7 +35,7 @@ The [excess kurtosis][kurtosis] for a [raised cosine][cosine-distribution] rando
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{Kurt}\left( X \right) = \frac{6(90-\pi^{4})}{5(\pi^{2}-6)^{2}}" data-equation="eq:cosine_kurtosis">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/kurtosis/docs/img/equation_cosine_kurtosis.svg" alt="Excess kurtosis for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/kurtosis/docs/img/equation_cosine_kurtosis.svg" alt="Excess kurtosis for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/logcdf/README.md
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Expand Up @@ -33,7 +33,7 @@ F(x;\mu ,s)=\begin{cases} 0 & \text{ for } x < \mu - s \\ {\frac {1}{2}}\left[1\
```

<!-- <div class="equation" align="center" data-raw-text="F(x;\mu ,s)=\begin{cases} 0 &amp; \text{ for } x &lt; \mu - s \\ {\frac {1}{2}}\left[1\!+\!{\frac {x\!-\!\mu }{s}}\!+\!{\frac {1}{\pi }}\sin \left({\frac {x\!-\!\mu }{s}}\,\pi \right)\right] &amp; \text{ for } \mu - s \le x \le \mu + s \\ 1 &amp; \text{ for } x &gt; \mu + s \end{cases}" data-equation="eq:cosine_cdf">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@01b5c399c14dd51bc91890dd5914d443f124bc1d/lib/node_modules/@stdlib/stats/base/dists/cosine/logcdf/docs/img/equation_cosine_cdf.svg" alt="Cumulative distribution function for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@2cee50a75da1437551b91682b8785dbae8ab897f/lib/node_modules/@stdlib/stats/base/dists/cosine/logcdf/docs/img/equation_cosine_cdf.svg" alt="Cumulative distribution function for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/logpdf/README.md
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Expand Up @@ -33,7 +33,7 @@ f(x;\mu ,s)= \begin{cases} {\frac {1}{2s}}\left[1+\cos \left({\frac {x\!-\!\mu }
```

<!-- <div class="equation" align="center" data-raw-text="f(x;\mu ,s)= \begin{cases} {\frac {1}{2s}}\left[1+\cos \left({\frac {x\!-\!\mu }{s}}\,\pi \right)\right] &amp; \text{ for } \mu - s \le x \le \mu + s \\ 0 &amp; \text{ otherwise } \end{cases}" data-equation="eq:cosine_pdf">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/logpdf/docs/img/equation_cosine_pdf.svg" alt="Probability density function (PDF) for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/logpdf/docs/img/equation_cosine_pdf.svg" alt="Probability density function (PDF) for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/mean/README.md
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Expand Up @@ -35,7 +35,7 @@ The [mean][mean] for a [raised cosine][cosine-distribution] random variable with
```

<!-- <div class="equation" align="center" data-raw-text="\mathbb{E}\left[ X \right] = \mu" data-equation="eq:cosine_mean">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/mean/docs/img/equation_cosine_mean.svg" alt="Mean for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/mean/docs/img/equation_cosine_mean.svg" alt="Mean for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/median/README.md
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Expand Up @@ -35,7 +35,7 @@ The [median][median] for a [raised cosine][cosine-distribution] random variable
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{Median}\left( X \right) = \mu" data-equation="eq:cosine_median">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/median/docs/img/equation_cosine_median.svg" alt="Median for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/median/docs/img/equation_cosine_median.svg" alt="Median for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/mgf/README.md
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Expand Up @@ -33,7 +33,7 @@ M_X(t) := \mathbb{E}\!\left[e^{tX}\right] = \frac{ \pi^{2} \sinh(st) }{ st(\pi^{
```

<!-- <div class="equation" align="center" data-raw-text="M_X(t) := \mathbb{E}\!\left[e^{tX}\right] = \frac{ \pi^{2} \sinh(st) }{ st(\pi^{2}+s^{2}t^{2}) } \,e^{\mu t}" data-equation="eq:cosine_mgf">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/mgf/docs/img/equation_cosine_mgf.svg" alt="Moment-generating function for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/mgf/docs/img/equation_cosine_mgf.svg" alt="Moment-generating function for a raised cosine distribution.">
<br>
</div> -->

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/stats/base/dists/cosine/mode/README.md
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Expand Up @@ -35,7 +35,7 @@ The [mode][mode] for a [raised cosine][cosine-distribution] random variable with
```

<!-- <div class="equation" align="center" data-raw-text="\operatorname{mode}\left( X \right) = \mu" data-equation="eq:cosine_mode">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d7320bac6a7847b367881acd98945c9a8d2c1742/lib/node_modules/@stdlib/stats/base/dists/cosine/mode/docs/img/equation_cosine_mode.svg" alt="Mode for a raised cosine distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@58b7b9015fde01541172c02f046f84f28e10dc68/lib/node_modules/@stdlib/stats/base/dists/cosine/mode/docs/img/equation_cosine_mode.svg" alt="Mode for a raised cosine distribution.">
<br>
</div> -->

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