Skip to content

Latest commit

 

History

History
312 lines (266 loc) · 6.19 KB

MathJax.md

File metadata and controls

312 lines (266 loc) · 6.19 KB
Raw

Math Expressions using MathJax../TipOfTheDay.md

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 make sure that you enable the Markdown.UseMathematics setting to true.

Syntax

MathJax supports several flavors of Math expressions and the MathJax settings provided with Markdown Monster support TeX, MML and HTML syntax.

Block Expressions

The easiest and most common way to embed math expressions is via $$ blocks, or $ inlines.

Using block expressions you can create Math like this:

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

which is created from:

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

$$ followed by a block of TeX markup is rendered as math expressions.

Inline Expressions

You can use also 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:

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

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

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

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

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>

Note: MathJax requires that a block operation is used to delimit the Math expression - in this example \begin{equation} and \end{equation}. Note also that you can simply write using the simpler $$ or $ syntax which is automatically converted by Markdown Monster into the above syntax.

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>

Output:

$$ \sum_{\substack{ 0<i<m \\ 0<j<n }} P(i,j) $$

Created from:

$$
\sum_{\substack{
   0<i<m \\
   0<j<n
  }} 
 P(i,j)
$$

Output:

$$ \frac{ \begin{array}[b]{r} \left( x_1 x_2 \right)\\ \times \left( x'_1 x'_2 \right) \end{array} }{ \left( y_1y_2y_3y_4 \right) } $$

Created from:

$$
\frac{
    \begin{array}[b]{r}
      \left( x_1 x_2 \right)\\
      \times \left( x'_1 x'_2 \right)
    \end{array}
  }{
    \left( y_1y_2y_3y_4 \right)
  }
$$

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="https://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>