slidev-latex

LaTeX/KaTeX in Slidev

This skill covers rendering mathematical formulas and scientific notation in Slidev using KaTeX, a fast LaTeX math rendering library.

When to Use This Skill

• Writing mathematical equations
• Scientific presentations
• Technical documentation
• Academic content
• Physics, chemistry, or engineering formulas

Basic Syntax

Inline Math

Surround with single $:

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ where $a \neq 0$.

Block Math

Surround with double $$:

$$
E = mc^2
$$

Or with line breaks:

$$
\begin{aligned}
f(x) &= x^2 + 2x + 1 \\
     &= (x + 1)^2
\end{aligned}
$$

Common Mathematical Notations

Fractions

Simple: $\frac{a}{b}$

Nested: $\frac{1}{\frac{a}{b} + c}$

Display: $$\frac{x^2 + y^2}{z}$$

Exponents and Subscripts

Exponent: $x^2$, $e^{i\pi}$
Subscript: $x_1$, $a_{ij}$
Combined: $x_1^2$, $a_{ij}^{n+1}$

Square Roots

Simple: $\sqrt{x}$
N-th root: $\sqrt[n]{x}$
Complex: $\sqrt{x^2 + y^2}$

Greek Letters

Lowercase: $\alpha$, $\beta$, $\gamma$, $\delta$, $\epsilon$, $\theta$, $\lambda$, $\mu$, $\pi$, $\sigma$, $\omega$

Uppercase: $\Gamma$, $\Delta$, $\Theta$, $\Lambda$, $\Pi$, $\Sigma$, $\Omega$

Operators

Sum: $\sum_{i=1}^{n} x_i$

Product: $\prod_{i=1}^{n} x_i$

Integral: $\int_{a}^{b} f(x) \, dx$

Double integral: $\iint_D f(x,y) \, dA$

Limit: $\lim_{x \to \infty} f(x)$

Equations and Formulas

Famous Equations

$$
\text{Euler's Identity: } e^{i\pi} + 1 = 0
$$

$$
\text{Pythagorean: } a^2 + b^2 = c^2
$$

$$
\text{Einstein: } E = mc^2
$$

$$
\text{Schrödinger: } i\hbar\frac{\partial}{\partial t}\Psi = \hat{H}\Psi
$$

Systems of Equations

$$
\begin{cases}
x + y = 10 \\
2x - y = 5
\end{cases}
$$

Aligned Equations

$$
\begin{aligned}
(x + y)^2 &= x^2 + 2xy + y^2 \\
(x - y)^2 &= x^2 - 2xy + y^2 \\
(x + y)(x - y) &= x^2 - y^2
\end{aligned}
$$