\[ \cdot \]
\[ \times \]
\[ \circ \]
\[ \ast \]
\[ \div \]
\[ \pm \]
\[ \equiv \]
\[ \propto \]
\[ \sim \]
\[ \cong \]
\[ \approx \]
\[ \neq \]
\[ \leq \]
\[ \geq \]
\[ \ll \]
\[ \gg \]
\[ \lvert a \rvert \]
\[ \left( a \right) \]
\[ \left[ a \right] \]
\[ \left\{ a \right\} \]
\[ {x}^{n} \]
\[ {x}_{i} \]
\[ {x}_{i}^{n} \]
\[ f_{\textrm{Text}} \]
\[ \vec{x} \]
\[ \dot{x} \]
\[ \ddot{x} \]
\[ x^{\prime} \]
\[ \bar{x} \]
\[ \tilde{x} \]
\( \overrightarrow{abc} \)
\( \overline{abc} \)
\[ \frac{x}{y} \]
\[ a\frac{b}{c} \]
\[ \sqrt{x} \]
\[ \sqrt[n]{x} \]
\[ \sum_{i=1}^{n} \]
\[ \prod_{i=1}^{n} \]
\[ \int_{0}^{2\pi} \]
\[ \oint \]
\[ \hbar \]
\[ \ell \]
\[ \mathrm{N} \]
\[ \mathbf{N} \]
\[ \mathbb{N} \]
\[ \mathcal{N} \]
\[ \land \]
\[ \lor \]
\[ \mid \]
\[ \parallel \]
\[ \nparallel \]
\[ \perp \]
\[ \infty \]
\[ \partial \]
\[ \nabla \]
\[ \triangle \]
\[ \forall \]
\[ \exists \]
\[ \in \]
\[ \notin \]
\[ \subset \]
\[ \supset \]
\[ \subseteq \]
\[ \emptyset \]
\[ \rightarrow \]
\[ \mapsto \]
\[ \Rightarrow \]
\[ \uparrow \]
\[ \Uparrow \]
\[ \leftrightarrow \]
\[ \Leftrightarrow \]
\[ \nearrow \]
\[ \sin \]
\[ \cos \]
\[ \tan \]
\[ \min \]
\[ \max \]
\[ \lim \]
\[ \log \]
\[ \ln \]
\[ \alpha \]
\[ \beta \]
\[ \gamma \]
\[ \delta \]
\[ \epsilon \]
\[ \varepsilon \]
\[ \zeta \]
\[ \eta \]
\[ \theta \]
\[ \vartheta \]
\[ \iota \]
\[ \kappa \]
\[ \lambda \]
\[ \mu \]
\[ \nu \]
\[ \xi \]
\[ o \]
\[ \pi \]
\[ \rho \]
\[ \varrho \]
\[ \sigma \]
\[ \varsigma \]
\[ \tau \]
\[ \upsilon \]
\[ \phi \]
\[ \varphi \]
\[ \chi \]
\[ \psi \]
\[ \omega \]
\[ \Gamma \]
\[ \Delta \]
\[ \Theta \]
\[ \Lambda \]
\[ \Xi \]
\[ \Pi \]
\[ \Sigma \]
\[ \Upsilon \]
\[ \Phi \]
\[ \Psi \]
\[ \Omega \]
\[ x_{1/2} = \frac{-b \pm \sqrt{b^2-4ac}}{2a} \]
\[ a^{\frac{m}{n}} = \sqrt[n]{a^m} \]
\[ a^{-r} = \frac{1}{a^r} \]
\[ \log_a \frac{b}{c} = \log_a b - \log_a c \]
\[ \log_a b^r = r \cdot \log_a b \]
\[ \frac{\overline{ZA}}{\overline{ZA^{\prime}}} = \frac{\overline{AB}}{\overline{A^{\prime} B^{\prime}}} \]
\[ \tan \alpha = \frac{\sin \alpha}{\cos \alpha} = \frac{a}{b} \]
\[ c^2 = a^2 + b^2 -2ab \cos \gamma \]
\[ \left( \sin \varphi \right)^2 + \left( \cos \varphi \right)^2 = 1 \]
\[ \lim\limits_{x \rightarrow +\infty} \frac{x^r}{e^x} = 0 \quad (r>0) \]
\[ f^{\prime}(x) = \lim\limits_{x \rightarrow x_0} \frac{f(x) - f(x_0)}{x-x_0} \]
\[ \left( x^r\right)^{\prime} = r \cdot x^{r-1} \]
\[ f(x) = u(v(x)) \quad \Rightarrow \quad f^{\prime}(x) = u^{\prime}(v(x)) \cdot v^{\prime}(x) \]
\[ x_{n+1} = x_n - \frac{f(x_n)}{f^{\prime}(x_n)} \]
\[ \left( a^r \right)^s = a^{rs} \]
\[ \int\limits_{a}^{b} f(x) dx = F(b) - F(a) = \left[ F(x) \right]_{a}^{b} \]
\[ {n \choose k} = \frac{n!}{k! \cdot (n-k)!} \]
\[ P_A(B) = \frac{P(A \cap B)}{P(A)} \]
\[ \vec{a} \circ \vec{b} = \begin{pmatrix} a_1 \\ a_2 \\ a_3 \end{pmatrix} \circ \begin{pmatrix} b_1 \\ b_2 \\ b_3 \end{pmatrix} = a_1 b_1 + a_2 b_2 + a_3 b_3 \]
\[ \vec{a} \times \vec{b} = \begin{pmatrix} a_2 b_3 - a_3 b_2 \\ a_3 b_1 - a_1 b_3 \\ a_1 b_2 - a_2 b_1 \end{pmatrix} \]

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