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Test MathML rendering #8756

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add a mathml rendering test blog post
joyeecheung Mar 22, 2026
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Rename mathml-rendering.md to mathml-rendering.mdx
avivkeller Mar 22, 2026
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127 changes: 127 additions & 0 deletions apps/site/pages/en/blog/uncategorized/mathml-rendering.mdx
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---
date: 2026-02-20T17:00:00.000Z
category: uncategorized
title: MathML Rendering Test
layout: blog-post
author: Joyee Cheung
---

Testing block and inline MathML rendering. Geometric series, finite and infinite:

<math display="block">
<mtable columnalign="left">
<mtr>
<mtd>
<msub><mi>S</mi><mi>n</mi></msub>
<mo>=</mo>
<munderover>
<mo>&#x2211;</mo>
<mrow><mi>k</mi><mo>=</mo><mn>0</mn></mrow>
<mrow><mi>n</mi><mo>-</mo><mn>1</mn></mrow>
</munderover>
<msup><mi>r</mi><mi>k</mi></msup>
<mo>=</mo>
<mfrac>
<mrow><mn>1</mn><mo>-</mo><msup><mi>r</mi><mi>n</mi></msup></mrow>
<mrow><mn>1</mn><mo>-</mo><mi>r</mi></mrow>
</mfrac>
<mo>,</mo>
<mspace width="0.5em"/>
<mi>r</mi>
<mo>&#x2260;</mo>
<mn>1</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<msub><mi>S</mi><mo>&#x221E;</mo></msub>
<mo>=</mo>
<munder>
<mo>&#x2211;</mo>
<mrow><mi>k</mi><mo>=</mo><mn>0</mn></mrow>
</munder>
<msup><mi>r</mi><mi>k</mi></msup>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mrow><mn>1</mn><mo>-</mo><mi>r</mi></mrow>
</mfrac>
<mo>,</mo>
<mspace width="0.5em"/>
<mo stretchy="false">|</mo><mi>r</mi><mo stretchy="false">|</mo>
<mo>&lt;</mo>
<mn>1</mn>
</mtd>
</mtr>
</mtable>
</math>

RMSE, where <math><msubsup><mi>e</mi><mi>i</mi><mn>2</mn></msubsup><mo>=</mo><msup><mrow><mo>(</mo><msub><mi>y</mi><mi>i</mi></msub><mo>-</mo><msub><mover><mi>y</mi><mo>^</mo></mover><mi>i</mi></msub><mo>)</mo></mrow><mn>2</mn></msup></math> and capacity grows as <math><msup><mn>2</mn><mrow><mi>N</mi><mo>-</mo><mn>1</mn></mrow></msup></math>:

<math display="block">
<mtable columnalign="left">
<mtr>
<mtd>
<mtext>RMSE</mtext>
<mo>=</mo>
<msqrt>
<mfrac>
<mn>1</mn>
<mi>N</mi>
</mfrac>
<munder>
<mo>&#x2211;</mo>
<mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow>
</munder>
<msup>
<mrow>
<mo>(</mo>
<msub><mi>y</mi><mi>i</mi></msub>
<mo>-</mo>
<msub><mover><mi>y</mi><mo>^</mo></mover><mi>i</mi></msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</msqrt>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>NRMSE</mtext>
<mo>=</mo>
<mn>100</mn>
<mo>&#x22C5;</mo>
<msqrt>
<mfrac>
<mn>1</mn>
<msup><mi>N</mi><mn>2</mn></msup>
</mfrac>
<munder>
<mo>&#x2211;</mo>
<mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow>
</munder>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<mrow><msub><mi>c</mi><mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow></msub><mo>-</mo><mtext>expected</mtext></mrow>
<mtext>expected</mtext>
</mfrac>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</msqrt>
</mtd>
</mtr>
</mtable>
</math>

Some inline bitwise stuff:

- <math><mi>a</mi><mo>&#x2295;</mo><mi>b</mi><mo>&#x2295;</mo><mi>b</mi><mo>=</mo><mi>a</mi></math>
- <math><mi>x</mi><mspace width="0.3em"/><mo>&amp;</mo><mspace width="0.3em"/><mo stretchy="false">(</mo><msup><mn>2</mn><mi>k</mi></msup><mo>-</mo><mn>1</mn><mo stretchy="false">)</mo><mo>&#x2261;</mo><mi>x</mi><mspace width="0.5em"/><mo>(</mo><mtext>mod</mtext><mspace width="0.3em"/><msup><mn>2</mn><mi>k</mi></msup><mo>)</mo></math>
- <math><mo>-</mo><mi>x</mi><mo>=</mo><mo>&#x00AC;</mo><mi>x</mi><mo>+</mo><mn>1</mn></math>
- <math><mi>x</mi><mo>&lt;&lt;</mo><mi>k</mi><mo>=</mo><mi>x</mi><mo>&#x22C5;</mo><msup><mn>2</mn><mi>k</mi></msup></math>
- <math><mi>x</mi><mo>&gt;&gt;</mo><mi>k</mi><mo>=</mo><mo>&#x230A;</mo><mi>x</mi><mo>/</mo><msup><mn>2</mn><mi>k</mi></msup><mo>&#x230B;</mo></math>
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