From b9ec1a9e26663e9da0a84791891750b1c125b139 Mon Sep 17 00:00:00 2001
From: Joyee Cheung <joyeec9h3@gmail.com>
Date: Sun, 22 Mar 2026 15:52:52 +0100
Subject: [PATCH 1/2] add a mathml rendering test blog post

---
 .../en/blog/uncategorized/mathml-rendering.md | 127 ++++++++++++++++++
 1 file changed, 127 insertions(+)
 create mode 100644 apps/site/pages/en/blog/uncategorized/mathml-rendering.md

diff --git a/apps/site/pages/en/blog/uncategorized/mathml-rendering.md b/apps/site/pages/en/blog/uncategorized/mathml-rendering.md
new file mode 100644
index 0000000000000..6ee599c229126
--- /dev/null
+++ b/apps/site/pages/en/blog/uncategorized/mathml-rendering.md
@@ -0,0 +1,127 @@
+---
+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>

From 40a7da61642cceb0e069bbb7a546cae50300dc4a Mon Sep 17 00:00:00 2001
From: Aviv Keller <me@aviv.sh>
Date: Sun, 22 Mar 2026 11:28:08 -0400
Subject: [PATCH 2/2] Rename mathml-rendering.md to mathml-rendering.mdx

---
 .../uncategorized/{mathml-rendering.md => mathml-rendering.mdx}   | 0
 1 file changed, 0 insertions(+), 0 deletions(-)
 rename apps/site/pages/en/blog/uncategorized/{mathml-rendering.md => mathml-rendering.mdx} (100%)

diff --git a/apps/site/pages/en/blog/uncategorized/mathml-rendering.md b/apps/site/pages/en/blog/uncategorized/mathml-rendering.mdx
similarity index 100%
rename from apps/site/pages/en/blog/uncategorized/mathml-rendering.md
rename to apps/site/pages/en/blog/uncategorized/mathml-rendering.mdx