# Mathematical formulas

$$x^2, x^{a+b}$$: $$x^2, x^{a+b}$$

$$x_i, x_{i+1}$$: $$x_i, x_{i+1}$$

$$A \cdot B \times C$$: $$A \cdot B \times C$$

$$A \gt B \lt C \ge D \le E = F \ne G \approx H$$: $$A \gt B \lt C \ge D \le E = F \ne G \approx H$$

$$\frac 1 2 x, \frac {2x} {1 - \frac 1 {x^2}}$$: $$\frac 1 2 x, \frac {2x} {1 - \frac 1 {x^2}}$$

$$\sqrt{x} + \sqrt[3]{\log_{10}{x}}$$: $$\sqrt{x} + \sqrt[3]{\log_{10}{x}}$$

$$\lim_{n \to \infty} \sum_{k=1}^n \frac{1}{k}$$: $$\lim_{n \to \infty} \sum_{k=1}^n \frac{1}{k}$$

$$\forall k\ge0 \quad \exists n \Leftrightarrow y\notin X$$: $$\forall k\ge0 \quad \exists n \Leftrightarrow y\notin X$$

$$\angle ABC = 90^{\circ} \Longleftarrow AB \perp BC$$: $$\angle ABC = 90^{\circ} \Longleftarrow AB \perp BC$$

$\int\limits_a^b f(x)\,dx \ne \iint \cos{z}\,dxdy$: $\int\limits_a^b f(x),dx \ne \iint \cos{z},dxdy$

$\begin{cases} x + 5y = 7 \\ 3x − 2y = 4 \end{cases}$: $\begin{cases} x + 5y = 7 \\ 3x − 2y = 4 \end{cases}$

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