LaTeX Formula Syntax

For practicing LaTeX syntax, while testing the rendering result of the katex engine

Greek Letters and Split Formulas

$$\begin{split} \alpha \qquad alpha \ \beta \qquad beta \ \gamma \qquad gamma \ \delta \qquad delta \ \epsilon \qquad epsilon \ \varepsilon \qquad varepsilon\ \zeta \qquad zeta \ \eta \qquad eta \theta \qquad theta\ \end{split}$$

bye.

Matrixes

Add prefixes b, v, p, m in front of matrix for brackets, vertical bars, parentheses; none for no brackets $$\begin{matrix}1\quad0 \ 0\quad 1\end{matrix}$$ Combine with dots $$\begin{bmatrix} 1 & 0 & 0 & \cdots \ 0 & 1 &0 & \cdots \ \vdots & \vdots & \vdots & \ddots \end{bmatrix}$$

Vectors

Use vec for single letters, overrightarrow for multiple letters, and there is another thing $\rightarrow$ $$\vec{a} \cdot \overrightarrow{AB}$$

Horizontal Braces

$$\overbrace{x_1+x_2+…+x_i}^{n items}$$ $$\underbrace{a+b+\cdots +z}_{26 letters of the alphabet}$$

Underline, Overline, and Hats

First, the two standard notations, which cannot be previewed normally within the editor $$\underline{a+b+c}$$ $$\overline{x+y+z}$$ Next, two notations that can be normally previewed within the editor, both using the over command, one as a prefix and the other as a suffix $$\over{over}$$ $${over\quad behind}\over$$ $$x\quad\bar x \quad \hat x \quad \tilde x$$

Square Roots

$$\sqrt{x}+\sqrt[3]{y_{i}}$$

Fractions

A particularly unique syntax, first type \frac{x}{y}, with the command indicator at the very beginning $$\frac{x}{y}$$

Subscripts and Superscripts

$$x^{2/3}\tag{1.1}$$ $$x_{i+1}$$

Multiplication

$$y=x\cdot z$$

Inequalities

Standard notation $$1\neq2$$ Abbreviation, not sure if it can be rendered $$\begin{cases} 1\equiv1\ 1 \quad x\bmod2\ \end{cases}$$

Product

\prod $\prod$ \sim $\sim \mathbb $\mathbb E x \prime $x \prime$

Mathematical Formulas

FixIt Supports mathematical formulas based on [$\KaTeX$][katex].

In [params.math] under the theme configuration, set the property enable = true, and set the property math: true in the front matter of the article to enable automatic rendering of mathematical formulas.

The FixIt theme supports the [raw shortcode] to avoid these escape characters, allowing you to write raw mathematical formula content.

An example of raw:

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{{< raw >}}Inline formula: \(\mathbf{E}=\sum_{i} \mathbf{E}_{i}=\mathbf{E}_{1}+\mathbf{E}_{2}+\mathbf{E}_{3}+\cdots\){{< /raw >}}

{{< raw >}}
Formula block:
\[ a=b+c \\ d+e=f \]
{{< /raw >}}

The output effect rendered as follows:

Inline Formulas

The default inline formula delimiters are:

For example:

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$c = \pm\sqrt{a^2 + b^2}$ and \\(f(x)=\int_{-\infty}^{\infty} \hat{f}(\xi) e^{2 \pi i \xi x} d \xi\\)

The output effect is as follows:

$c = \pm\sqrt{a^2 + b^2}$ and \(f(x)=\int_{-\infty}^{\infty} \hat{f}(\xi) e^{2 \pi i \xi x} d \xi\)

Formula Block

The default formula block separators include:

• $$ ... $$
• \[ ... \] (escaped: \\[ ... \\])
• \begin{equation} ... \end{equation} (unnumbered: \begin{equation*} ... \end{equation*})
• \begin{align} ... \end{align} (unnumbered: \begin{align*} ... \end{align*})
• \begin{alignat} ... \end{alignat} (unnumbered: \begin{alignat*} ... \end{alignat*})
• \begin{gather} ... \end{gather} (unnumbered: \begin{gather*} ... \end{gather*})
• \begin{CD} ... \end{CD}

For example:

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$$ c = \pm\sqrt{a^2 + b^2} $$

\\[ f(x)=\int_{-\infty}^{\infty} \hat{f}(\xi) e^{2 \pi i \xi x} d \xi \\]

\begin{equation*}
  \rho \frac{\mathrm{D} \mathbf{v}}{\mathrm{D} t}=\nabla \cdot \mathbb{P}+\rho \mathbf{f}
\end{equation*}

\begin{equation}
  \mathbf{E}=\sum_{i} \mathbf{E}\_{i}=\mathbf{E}\_{1}+\mathbf{E}\_{2}+\mathbf{E}_{3}+\cdots
\end{equation}

\begin{align}
  a&=b+c \\\\
  d+e&=f
\end{align}

\begin{alignat}{2}
   10&x+&3&y = 2 \\\\
   3&x+&13&y = 4
\end{alignat}

\begin{gather}
   a=b \\\\
   e=b+c
\end{gather}

\begin{CD}
   A @>a\>> B \\\\
@VbVV @AAcA \\\\
   C @= D
\end{CD}

The output effect is as follows:

$$ c = \pm\sqrt{a^2 + b^2} $$

\[ f(x)=\int_{-\infty}^{\infty} \hat{f}(\xi) e^{2 \pi i \xi x} d \xi \]

\begin{equation*} \rho \frac{\mathrm{D} \mathbf{v}}{\mathrm{D} t}=\nabla \cdot \mathbb{P}+\rho \mathbf{f} \end{equation*}

\begin{equation} \mathbf{E}=\sum_{i} \mathbf{E}_{i}=\mathbf{E}_{1}+\mathbf{E}_{2}+\mathbf{E}_{3}+\cdots \end{equation}

\begin{align} a&=b+c \\ d+e&=f \end{align}

\begin{alignat}{2} 10&x+&3&y = 2 \\ 3&x+&13&y = 4 \end{alignat}

\begin{gather} a=b \\ e=b+c \end{gather}

\begin{CD} A @>a>> B \\ @VbVV @AAcA \\ C @= D \end{CD}

Copy-tex

[Copy-tex][copy-tex] is a $\KaTeX$ plugin.

This extension copies the $\LaTeX$ source code of $\KaTeX$ rendered formulas to the clipboard when selecting and copying them.

Enable Copy-tex by setting the copyTex = true property under [params.math] in the theme configuration.

When selecting and copying the formulas rendered in the previous section, you’ll find that the LaTeX source code is copied.

mhchem

[mhchem][mhchem] is a $\KaTeX$ plugin.

With this extension, you can easily write beautiful chemical equations in your articles.

Enable mhchem by setting the mhchem = true property under [params.math] in the theme configuration.

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$$ \ce{CO2 + C -> 2 CO} $$

$$ \ce{Hg^2+ ->[I-] HgI2 ->[I-] [Hg^{II}I4]^2-} $$

The output effect is as follows:

$$ \ce{CO2 + C -> 2 CO} $$

$$ \ce{Hg^2+ ->[I-] HgI2 ->[I-] [Hg^{II}I4]^2-} $$

Character Annotations or Comments

The FixIt theme supports a Character Annotations or Comments Markdown extension syntax:

The output is rendered as follows:

HugoAn open-source static site generator

Fraction

FixIt theme supports a Fraction Markdown extension syntax:

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[Light]/[Dark]

[99]/[100]

The output is rendered as follows:

^Light/_Dark

⁹⁰/₁₀₀