Math Test

Inline math: $E = mc^2$

Display math:

$$\frac{a}{b}$$

Fractions:

$$\frac{n}{5}$$ $$\frac{a+b}{c+d}$$

Superscripts:

$$x^2$$

Subscripts:

$$H_2O$$

Square roots:

$$\sqrt{x}$$

Greek letters:

$$\alpha \beta \gamma \omega$$

Summation:

$$\sum_{i=1}^{n}$$

Integral:

$$\int_a^b$$

Matrix:

$$\begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix}$$

Vectors:

$$\vec{F}$$

Physics equations:

$$F = ma$$ $$E = mc^2$$ $$\nabla \cdot \vec{E}$$ $$\frac{1}{4\pi\varepsilon_0}$$