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docs: fix README equations in stats/base/dists/f #16223

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6 changes: 3 additions & 3 deletions lib/node_modules/@stdlib/stats/base/dists/f/entropy/README.md
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Expand Up @@ -28,13 +28,13 @@ limitations under the License.

The [differential entropy][entropy] (in [nats][nats]) for a [F][f-distribution] random variable is

<!-- <equation class="equation" label="eq:f_entropy" align="center" raw="h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right) \Gamma\left( \tfrac{d_1+d_2}{2} \right) \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) + \left( 1-\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)" alt="Differential entropy for an F distribution."> -->
<!-- <equation class="equation" label="eq:f_entropy" align="center" raw="h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \frac{\Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right)}{\Gamma\left( \tfrac{d_1+d_2}{2} \right)} \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) - \left( 1+\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)" alt="Differential entropy for an F distribution."> -->

```math
h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right) \Gamma\left( \tfrac{d_1+d_2}{2} \right) \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) + \left( 1-\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)
h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \frac{\Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right)}{\Gamma\left( \tfrac{d_1+d_2}{2} \right)} \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) - \left( 1+\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)
```

<!-- <div class="equation" align="center" data-raw-text="h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right) \Gamma\left( \tfrac{d_1+d_2}{2} \right) \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) + \left( 1-\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)" data-equation="eq:f_entropy">
<!-- <div class="equation" align="center" data-raw-text="h\left( X \right) = \ln\left( \tfrac{d_2}{d_1} \frac{\Gamma\left( \tfrac{d_1}{2} \right) \Gamma\left( \tfrac{d_2}{2} \right)}{\Gamma\left( \tfrac{d_1+d_2}{2} \right)} \right) \\ + \left( 1-\tfrac{d_1}{2} \right) \Psi\left( \tfrac{d_1}{2} \right) - \left( 1+\tfrac{d_2}{2} \right) \Psi\left( \tfrac{d_2}{2} \right) + \tfrac{d_1+d_2}{2} \Psi\left( \tfrac{d_1+d_2}{2} \right)" data-equation="eq:f_entropy">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@591cf9d5c3a0cd3c1ceec961e5c49d73a68374cb/lib/node_modules/@stdlib/stats/base/dists/f/entropy/docs/img/equation_f_entropy.svg" alt="Differential entropy for an F distribution.">
<br>
</div> -->
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6 changes: 3 additions & 3 deletions lib/node_modules/@stdlib/stats/base/dists/f/stdev/README.md
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Expand Up @@ -28,13 +28,13 @@ limitations under the License.

The [standard deviation][standard-deviation] for a [F][f-distribution] random variable is

<!-- <equation class="equation" label="eq:f_stdev" align="center" raw="\sigma = \sqrt{2} \tfrac{d_1}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}" alt="Standard deviation for an F distribution."> -->
<!-- <equation class="equation" label="eq:f_stdev" align="center" raw="\sigma = \sqrt{2} \tfrac{d_2}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}" alt="Standard deviation for an F distribution."> -->

```math
\sigma = \sqrt{2} \tfrac{d_1}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}
\sigma = \sqrt{2} \tfrac{d_2}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}
```

<!-- <div class="equation" align="center" data-raw-text="\sigma = \sqrt{2} \tfrac{d_1}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}" data-equation="eq:f_stdev">
<!-- <div class="equation" align="center" data-raw-text="\sigma = \sqrt{2} \tfrac{d_2}{d_2-2} \sqrt{\tfrac{d_1+d_2-2}{d_1 \cdot (d_2-4)}}" data-equation="eq:f_stdev">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/f/stdev/docs/img/equation_f_stdev.svg" alt="Standard deviation for an F distribution.">
<br>
</div> -->
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