KaTeX Math Support

Mathematical Notation with KaTeX

This blog now supports beautiful mathematical notation using KaTeX! You can write both inline and block math expressions.

💡

KaTeX renders math notation quickly and produces high-quality typesetting that looks great in both light and dark themes.

You can include math inline like this: $E = mc^2$ or $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ .

The area of a circle is $A = \pi r^2$ where $r$ is the radius.

For larger expressions, use block math:

\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

The Schrödinger equation:

i\hbar \frac{\partial}{\partial t} \Psi(\mathbf{r}, t) = \hat{H} \Psi(\mathbf{r}, t)

\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} ax + by \\ cx + dy \end{pmatrix}

The sum of the first $n$ natural numbers:

\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

The factorial function:

n! = \prod_{i=1}^{n} i

Complex fractions:

\frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \ddots}}}

Nested radicals:

\sqrt{2 + \sqrt{2 + \sqrt{2 + \cdots}}} = 2

Some commonly used mathematical symbols:

The fundamental theorem of calculus:

\int_a^b f'(x) \, dx = f(b) - f(a)

L’Hôpital’s rule for indeterminate forms:

\lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}

The normal distribution:

f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}

Bayes’ theorem:

P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}

Eigenvalue equation:

A\mathbf{v} = \lambda\mathbf{v}

The determinant of a 2×2 matrix:

\det\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc

To use math in your own posts:

Inline math: Wrap expressions with single dollar signs: $your_math_here$
Block math: Wrap expressions with double dollar signs:
```
$$
your_math_here
$$
```

The KaTeX syntax is largely compatible with LaTeX math mode. For a complete reference, visit the KaTeX documentation.