Agent skill
mathjax-rendering
Render mathematical formulas in Obsidian using LaTeX/MathJax syntax. Use when writing equations, matrices, integrals, summations, or any mathematical notation in Obsidian notes.
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SKILL.md
MathJax Rendering in Obsidian
Obsidian uses MathJax to render LaTeX math expressions. This skill covers essential syntax for mathematical notation.
For complete symbol tables and advanced commands, see reference.md.
1. Basic Syntax
Inline vs Block
markdown
Inline: The equation $E = mc^2$ appears within text.
Block (centered, display-style):
$$
\int_0^{\infty} e^{-x^2} dx = \frac{\sqrt{\pi}}{2}
$$
- Inline (
$...$): Compact, flows with paragraph - Block (
$$...$$): Larger, centered, multi-line capable
2. Fractions and Roots
latex
\frac{a}{b} % Standard fraction
\sqrt{x} % Square root
\sqrt[n]{x} % n-th root
\binom{n}{k} % Binomial coefficient
Examples:
latex
$$
\frac{d}{dx}\left(\frac{f(x)}{g(x)}\right) = \frac{f'(x)g(x) - f(x)g'(x)}{[g(x)]^2}
$$
$$
\sqrt{a^2 + b^2} = c \qquad \sqrt[3]{27} = 3
$$
3. Superscripts and Subscripts
latex
$x^2$ % Superscript
$x_1$ % Subscript
$x_i^2$ % Both combined
$x^{10}$ % Multiple characters need braces
$x_{n+1}$ % Expression as subscript
Note: Use braces {} for multi-character exponents/subscripts.
4. Greek Letters
Common Letters
| Lowercase | Uppercase | ||
|---|---|---|---|
\alpha α |
\beta β |
\Gamma Γ |
\Delta Δ |
\gamma γ |
\delta δ |
\Theta Θ |
\Lambda Λ |
\epsilon ε |
\theta θ |
\Sigma Σ |
\Phi Φ |
\lambda λ |
\mu μ |
\Psi Ψ |
\Omega Ω |
\pi π |
\sigma σ |
||
\phi φ |
\omega ω |
See reference.md for complete Greek alphabet.
5. Common Operators and Symbols
| Symbol | Syntax | Symbol | Syntax | |
|---|---|---|---|---|
| ≤ | \leq |
∈ | \in |
|
| ≥ | \geq |
∉ | \notin |
|
| ≠ | \neq |
⊂ | \subset |
|
| ≈ | \approx |
∪ | \cup |
|
| × | \times |
∩ | \cap |
|
| · | \cdot |
∞ | \infty |
|
| ± | \pm |
∂ | \partial |
|
| ∀ | \forall |
∇ | \nabla |
|
| ∃ | \exists |
∅ | \emptyset |
See reference.md for complete symbol tables.
6. Matrices
Matrix Environments
| Environment | Brackets |
|---|---|
pmatrix |
( ) |
bmatrix |
[ ] |
vmatrix |
| | (determinant) |
Bmatrix |
{ } |
Examples
latex
$$
A = \begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
$$
$$
\det(A) = \begin{vmatrix}
a & b \\
c & d
\end{vmatrix} = ad - bc
$$
$$
I = \begin{bmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{bmatrix}
$$
With Ellipsis
latex
$$
\begin{pmatrix}
a_{11} & \cdots & a_{1n} \\
\vdots & \ddots & \vdots \\
a_{m1} & \cdots & a_{mn}
\end{pmatrix}
$$
7. Aligned Equations
Use aligned environment with & for alignment and \\ for line breaks:
latex
$$
\begin{aligned}
(a+b)^2 &= (a+b)(a+b) \\
&= a^2 + 2ab + b^2
\end{aligned}
$$
Conditional Definitions (cases)
latex
$$
f(x) = \begin{cases}
x^2 & \text{if } x \geq 0 \\
-x & \text{if } x < 0
\end{cases}
$$
Text in Math
Use \text{...} for regular text:
latex
$$
x = 5 \text{ where } x \in \mathbb{N}
$$
8. Integrals, Sums, and Limits
Integrals
latex
$$
\int_a^b f(x) \, dx \qquad \iint_D f \, dA \qquad \oint_C \mathbf{F} \cdot d\mathbf{r}
$$
Tip: Use \, before dx for proper spacing.
Sums and Products
latex
$$
\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}
$$
$$
\prod_{i=1}^{n} a_i
$$
Limits
latex
$$
\lim_{x \to 0} \frac{\sin x}{x} = 1
$$
$$
\lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n = e
$$
9. Delimiters
Use \left and \right for auto-sizing:
latex
$$
\left( \frac{a}{b} \right) \qquad \left[ \sum_{i=1}^{n} x_i \right] \qquad \left\{ x : x > 0 \right\}
$$
One-sided Delimiter
Use \left. or \right. for invisible delimiter:
latex
$$
\left. \frac{df}{dx} \right|_{x=0}
$$
10. Font Styles
| Style | Syntax | Use Case |
|---|---|---|
| Bold | \mathbf{v} |
Vectors |
| Roman | \mathrm{d}x |
Differential d |
| Blackboard | \mathbb{R} |
Number sets |
| Calligraphic | \mathcal{L} |
Operators |
Number Sets
latex
$$
\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C}
$$
11. Decorations
| Decoration | Syntax |
|---|---|
| Hat | \hat{x} |
| Bar | \bar{x} |
| Tilde | \tilde{x} |
| Vector | \vec{x} |
| Dot | \dot{x} |
| Double dot | \ddot{x} |
Overbrace/Underbrace
latex
$$
\overbrace{a + b + c}^{\text{sum}} = \underbrace{x + y + z}_{\text{total}}
$$
Arrows
latex
$$
\overrightarrow{AB} \qquad \overleftarrow{CD}
$$
12. Common Patterns
Derivatives
latex
$$
\frac{dy}{dx} \qquad \frac{\partial f}{\partial x} \qquad \nabla f
$$
Norm and Absolute Value
latex
$$
\|x\| = \sqrt{\sum x_i^2} \qquad |x - y| \leq |x| + |y|
$$
Probability
latex
$$
P(A \mid B) = \frac{P(B \mid A) P(A)}{P(B)}
$$
$$
\mathbb{E}[X] = \sum_{i} x_i P(X = x_i)
$$
Quick Reference
latex
% Fractions and roots
\frac{a}{b} \sqrt{x} \sqrt[n]{x}
% Greek (common)
\alpha \beta \gamma \theta \lambda \pi \sigma \omega
\Gamma \Delta \Sigma \Omega
% Relations
= \neq \leq \geq \approx \equiv \in \subset
% Operations
+ - \times \div \cdot \pm
% Calculus
\int \sum \prod \lim \partial \nabla
% Sets
\mathbb{R} \mathbb{N} \mathbb{Z} \mathbb{Q} \mathbb{C}
% Decorations
\hat{x} \bar{x} \vec{x} \dot{x}
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