Using LaTeX in Your Posts

This post demonstrates how to use LaTeX for mathematical expressions and equations.

Inline Math

You can write inline equations like this: $E = mc^2$ or $x^2 + y^2 = r^2$

Block Equations

For larger equations, use double dollar signs:

$$\frac{d}{dx}\left( \int_{0}^{x} f(u)\,du\right)=f(x)$$

Complex Mathematical Expressions

The quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Matrix representation: $\begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix}$

Sum notation: $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$

Greek Letters and Symbols

• Alpha: $\alpha$
• Beta: $\beta$
• Gamma: $\gamma$
• Delta: $\Delta$
• Infinity: $\infty$
• Therefore: $\therefore$
• Exists: $\exists$
• For all: $\forall$

Chemical Equations

$$\ce{CO2 + H2O -> H2CO3}$$

Statistical Formulas

Standard deviation: $\sigma = \sqrt{\frac{1}{N} \sum_{i=1}^{N} (x_i - \mu)^2}$

Probability and Set Theory

$$P(A \cap B) = P(A) \cdot P(B|A)$$ $$A \subseteq B \iff \forall x(x \in A \implies x \in B)$$

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