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