Markdown Monster Math Expressions with MathJax

MarkdownMonster-Mathjax.md

useMath
true

Math Expressions using MathJax

Markdown Monster has built in support for rendering Math expressions using Latex, MathML and AsciiMath syntax. In order to use Math expressions on your page you have to explicit ask for it via the useMath YAML header:

---
useMath: true
---

HTML Math Markup

Once hooked up, you can add math expressions using <div class="math"> syntax as follows:

\begin{equation} \int_0^\infty \frac{x^3}{e^x-1}\,dx = \frac{\pi^4}{15} \end{equation}

Created from:

<div class="math">
\begin{equation}
  \int_0^\infty \frac{x^3}{e^x-1}\,dx = \frac{\pi^4}{15}  
\end{equation}
</div>

Inline Expressions

You can use inline expressions using a single $ to delimit an expression:

---

Who hasn't heard of $E=mc^2$?

This is another inline expression: $\vec{F} = \frac{d \vec{p}}{dt} = m \frac{d \vec{v}}{dt} = m \vec{a}$

---

Created from:

This expression: $\vec{F} = \frac{d \vec{p}}{dt} = m \frac{d \vec{v}}{dt} = m \vec{a}$

Block Expressions

You can also use block expressions that use $$ as delimiters in a block:

$$ \frac{n!}{k!(n-k)!} = \binom{n}{k} $$

Created from:

$$
\frac{n!}{k!(n-k)!} = \binom{n}{k}
$$

Mixed Inline and Block Expressions

The following is a mixture of inline and block operations:

---

When $a \ne 0$, there are two solutions to $ax^2 + bx + c = 0$ and they are

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

---

Created from:

When $a \ne 0$, there are two solutions to $ax^2 + bx + c = 0$ and they are

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

More Examples

A much longer expression:

\begin{align} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\ & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right) \end{align}

Created from:

<div class="math">
\begin{align}
\sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\
 & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ 
 & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
 & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ 
 & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}
</div>

MathML

The following is a MathML block:

( ∑ k = 1 n a k b k ) 2 ≤ ( ∑ k = 1 n a k 2 ) ( ∑ k = 1 n b k 2 )

rendered from:

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <msup>
    <mrow>
      <mo>(</mo>
      <munderover>
        <mo>&#x2211;<!-- ∑ --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mi>k</mi>
          <mo>=</mo>
          <mn>1</mn>
        </mrow>
        <mi>n</mi>
      </munderover>
      <msub>
        <mi>a</mi>
        <mi>k</mi>
      </msub>
      <msub>
        <mi>b</mi>
        <mi>k</mi>
      </msub>
      <mo>)</mo>
    </mrow>
    <mrow class="MJX-TeXAtom-ORD">
      <mspace width="negativethinmathspace" />
      <mspace width="negativethinmathspace" />
      <mn>2</mn>
    </mrow>
  </msup>
  <mo>&#x2264;<!-- ≤ --></mo>
  <mrow>
    <mo>(</mo>
    <munderover>
      <mo>&#x2211;<!-- ∑ --></mo>
      <mrow class="MJX-TeXAtom-ORD">
        <mi>k</mi>
        <mo>=</mo>
        <mn>1</mn>
      </mrow>
      <mi>n</mi>
    </munderover>
    <msubsup>
      <mi>a</mi>
      <mi>k</mi>
      <mn>2</mn>
    </msubsup>
    <mo>)</mo>
  </mrow>
  <mrow>
    <mo>(</mo>
    <munderover>
      <mo>&#x2211;<!-- ∑ --></mo>
      <mrow class="MJX-TeXAtom-ORD">
        <mi>k</mi>
        <mo>=</mo>
        <mn>1</mn>
      </mrow>
      <mi>n</mi>
    </munderover>
    <msubsup>
      <mi>b</mi>
      <mi>k</mi>
      <mn>2</mn>
    </msubsup>
    <mo>)</mo>
  </mrow>
</math>