Math Example

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$$\mid \zeta -z-h\mid \le \frac{1}{2}\mid \zeta -z\mid$$

$${\alpha }^2+\sum _{i=1}^{i=n}{i}^3$$

$$\frac{1}{\sqrt{2\pi }}\int \exp (-\frac{1}{2}{x}^2)dx=1$$

Inline math: $a=\frac{1}{\pi }$.

$$\mathbb{\text{ℝ}}$$

$$\left[\begin{array}{cc}{\displaystyle \frac{\partial x_1}{\partial y_1}}& {\displaystyle \frac{\partial x_2}{\partial y_1}}\\ {\displaystyle \frac{\partial x_1}{\partial y_2}}& {\displaystyle \frac{\partial x_2}{\partial y_2}}\end{array}\right]$$

$$\leftrightarrow$$