TeX Math

TeX elements allow you to include mathematical expressions and formulas using LaTeX syntax.

TeX Expressions

TeX always uses the raw block form ({{{#tex ... }}}). Without #block, renderers can still present the result as inline math:

The famous equation {{{#tex
E = mc^2
}}} was discovered by Einstein.

The quadratic formula is {{{#tex
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
}}}.

Block Math

Use #block parameter for display-style math that appears on its own line:

{{{#tex #block
E = mc^2
}}}

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

Common Mathematical Notation

Basic Operations

Addition: {{{#tex
a + b
}}}
Subtraction: {{{#tex
a - b
}}}
Multiplication: {{{#tex
a \times b
}}} or {{{#tex
a \cdot b
}}}
Division: {{{#tex
\frac{a}{b}
}}}

Exponents and Indices

Superscript: {{{#tex
x^2
}}} or {{{#tex
x^{10}
}}}
Subscript: {{{#tex
x_i
}}} or {{{#tex
x_{ij}
}}}
Combined: {{{#tex
x_i^2
}}}

Greek Letters

Lowercase: {{{#tex
\alpha, \beta, \gamma, \delta, \theta, \pi, \sigma
}}}
Uppercase: {{{#tex
\Delta, \Gamma, \Lambda, \Sigma, \Omega
}}}

Fractions and Roots

Fraction: {{{#tex
\frac{numerator}{denominator}
}}}
Square root: {{{#tex
\sqrt{x}
}}}
N-th root: {{{#tex
\sqrt[n]{x}
}}}

Advanced Formulas

Summation and Products

{{{#tex #block
\sum_{i=1}^{n} x_i = x_1 + x_2 + \cdots + x_n
}}}

{{{#tex #block
\prod_{i=1}^{n} x_i = x_1 \times x_2 \times \cdots \times x_n
}}}

Integrals

{{{#tex #block
\int_{a}^{b} f(x) \, dx
}}}

{{{#tex #block
\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}
}}}

Limits

{{{#tex #block
\lim_{x \to \infty} \frac{1}{x} = 0
}}}

{{{#tex #block
\lim_{h \to 0} \frac{f(x+h) - f(x)}{h} = f'(x)
}}}

Matrices

{{{#tex #block
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
}}}

{{{#tex #block
\begin{pmatrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{pmatrix}
}}}

Mathematical Environments

Equations

{{{#tex #block
ax^2 + bx + c = 0
}}}

{{{#tex #block
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
}}}

Systems of Equations

{{{#tex #block
\begin{cases}
x + y = 5 \\
2x - y = 1
\end{cases}
}}}

Aligned Equations

{{{#tex #block
\begin{align*}
f(x) &= x^2 + 2x + 1 \\
&= (x + 1)^2
\end{align*}
}}}

Special Symbols and Operators

Set Theory

{{{#tex
A \cup B
}}} (union)
{{{#tex
A \cap B
}}} (intersection)
{{{#tex
A \subseteq B
}}} (subset)
{{{#tex
x \in A
}}} (element of)
{{{#tex
\emptyset
}}} (empty set)

Logic

{{{#tex
\land
}}} (and)
{{{#tex
\lor
}}} (or)
{{{#tex
\neg
}}} (not)
{{{#tex
\forall
}}} (for all)
{{{#tex
\exists
}}} (exists)

Relations

{{{#tex
\leq
}}} (less than or equal)
{{{#tex
\geq
}}} (greater than or equal)
{{{#tex
\neq
}}} (not equal)
{{{#tex
\approx
}}} (approximately)
{{{#tex
\equiv
}}} (equivalent)

TeX in Complex Structures

Math in Lists

{{{#list #1
[[The Pythagorean theorem: {{{#tex
a^2 + b^2 = c^2
}}}
]]
[[Euler's identity: {{{#tex
e^{i\pi} + 1 = 0
}}}
]]
[[The golden ratio: {{{#tex
\phi = \frac{1 + \sqrt{5}}{2}
}}}
]]
}}}

Math in Tables

{{{#table
[[[[Formula]] [[Description]]]]
[[[[{{{#tex
E = mc^2
}}}
]] [[Mass-energy equivalence]]]]
[[[[{{{#tex
F = ma
}}}
]] [[Newton's second law]]]]
[[[[{{{#tex
a^2 + b^2 = c^2
}}}
]] [[Pythagorean theorem]]]]
}}}

Math in Folds

{{{#fold
[[Show Proof]]
[[
{{{#tex #block
\begin{align*}
(a + b)^2 &= (a + b)(a + b) \\
&= a^2 + ab + ba + b^2 \\
&= a^2 + 2ab + b^2
\end{align*}
}}}
]]
}}}

Common Formulas

Physics

Newton's second law: {{{#tex
F = ma
}}}
Kinetic energy: {{{#tex
KE = \frac{1}{2}mv^2
}}}
Gravitational force: {{{#tex
F = G\frac{m_1 m_2}{r^2}
}}}

Calculus

Derivative: {{{#tex
\frac{df}{dx}
}}} or {{{#tex
f'(x)
}}}
Integral: {{{#tex
\int f(x) \, dx
}}}
Chain rule: {{{#tex
\frac{d}{dx}f(g(x)) = f'(g(x)) \cdot g'(x)
}}}

Statistics

Mean: {{{#tex
\mu = \frac{1}{n}\sum_{i=1}^{n} x_i
}}}
Standard deviation: {{{#tex
\sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n}(x_i - \mu)^2}
}}}
Normal distribution: {{{#tex
f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{1}{2}(\frac{x-\mu}{\sigma})^2}
}}}

Technical Notes

• TeX elements use standard LaTeX math syntax
• The #block parameter marks math for display-style presentation
• Without #block, math is marked for inline presentation
• Raw parsing uses triple-brace depth matching ({{{ increments depth, }}} decrements depth)
• The block closes when depth returns to zero
• Complex expressions may require proper grouping with braces {}
• Most standard LaTeX math commands are supported in the syntax
• The parser preserves the LaTeX content as-is within the AST