?ccc # **??????? ?????????????? LaTexP**
-- ccc ### **??????????? ??????? (?????? ? LaTexP)**
-
###### "######" ? ?????? ?????? -> tag h6.
##### "#####" ? ?????? ?????? -> tag h5.
#### "####" ? ?????? ?????? -> tag h4.
### "###" ? ?????? ?????? -> tag h3.
## "##" ? ?????? ?????? -> tag h2.
# "#" ? ?????? ?????? -> tag h1.
### ccc "ccc " ? ?????? ?????? ????????????? ?? ??????
***????????? ?????????? ? ??????? ?????????***
*
-???????? ??????? ??????
-
**????????? ?????????? ? ??????? ?????????** -???????? ????? ??????
- * ????????? ?????????? ? ????????? ?????????* -???????? ?????? (??????? ??? ????????????? ? ???????? ?? ??????? ? ?????? ????????)
*
- -__ (????? ???? 2 ???????) ????????? ??????? ?????? (?????? (-) ? ?????????????? ?????? \(-\) ??????? ??? ???????? ????? ???)
-- --_ (??? ?????? ???? ??????)????????? ??????? ?????? ? ?????? ???????? ????????
- "-""-""-" (??? ???? ??????) ????????? ?????????????? ?????
- ``` ` ` ` (??? ???????? ???????) ?????? ?????? ?????? ???????
- // (??????? ???? ? ??????) - ??????????? ?????? ??????? ????? ??????
- ! ! ! (??? ?????. ????? ??????) - ????? ?????? ?? ?????????
- !!! ??? ????????? ??????????? ?? ?? ????????? ?? ????? ??? ????? ???????????? ??? ????????? ??????????? ????, ???? ?????? ????????, ?????? ???????? ? ???.
- ___ (_ _ _) -??????? ????????????? ?????? ?????? ??????????? ???????
---
-
-
-
ccc ### **???????? ??????? LaTex**
--
- ?????????, ?????????? ????????? MathJax ???? ???????? ? ?????????????? ???????? ?????? ??????:
- ??????? => ??????? ????? ? ??????,
- ??????????=> ??????? ????? ??????????????? ?? ??????
-
-- ###### ??????:
\ ( ?????????? ??????? \ ) ??? ?????????????? ? ??????
- \ [ ?????????? ??????? \ ] ??? ?????????????? ?? ?????? ????????
-
---
-
-
ccc ## ????????? MathJax
-- **1. ?????????????? ???????:**
- `+`, `-`, `*`, `/`, `=`
\[
{+} , {-} , {* }, {/} , {=}
\]
- `\alpha`, `\beta`, `\gamma`, `\delta`, `\epsilon`, `\zeta`, `\eta`, `\theta`, `\iota`, `\kappa`, `\lambda`, `\mu`, `\nu`, `\xi`, `\pi`, `\rho`, `\sigma`, `\tau`, `\upsilon`, `\phi`, `\chi`, `\psi`, `\omega`
\[
{\alpha}, {\beta}, {\gamma}, {\delta}, {\epsilon}, {\zeta}, {\eta}, {\theta}, {\iota}, {\kappa}, {\lambda}, {\mu}, {\nu}, {\xi}, {\pi}, {\rho}, {\sigma}, {\tau}, {\upsilon}, {\phi}, {\chi}, {\psi}, {\omega}
\]
- `\Gamma`, `\Delta`, `\Theta`, `\Lambda`, `\Xi`, `\Pi`, `\Sigma`, `\Upsilon`, `\Phi`, `\Psi`, `\Omega`
\[
{\Gamma}, {\Delta}, {\Theta}, {\Lambda}, {\Xi}, {\Pi}, {\Sigma}, {\Upsilon}, {\Phi}, {\Psi}, {\Omega}
\]
---
-- **2. ???????**:
ccc - `\sin`, `\cos`, `\tan`, `\cot`, `\sec`, `\csc`
ccc - `\arcsin`, `\arccos`, `\arctan`
ccc - `\sinh`, `\cosh`, `\tanh`, `\coth`
ccc - `\log`, `\ln`, `\exp`
ccc - `\max`, `\min`
\[ {\sin}, {\cos}, {\tan}, {\cot}, {\sec}, {\csc},\]
\[ {\arcsin}, {\arccos}, {\arctan},\]
\[ {\sinh}, {\cosh}, {\tanh}, {\coth},\]
\[ {\log}, {\ln}, {\exp},\]
\[ {\max}, {\min}\]
---
-- **3. ??????????? ???????**:
ccc `\infty`, `\partial`, `\nabla`, `\forall`, `\exists`, `\emptyset`, `\varnothing`
ccc `\mathbb{R}`, `\mathbb{C}`, `\mathbb{Q}`, `\mathbb{Z}`, `\mathbb{N}`
ccc `\mathcal{A}`, `\mathcal{B}`, `\mathcal{C}`, `\mathcal{D}`, `\mathcal{E}`, `\mathcal{F}`, `\mathcal{G}`,
ccc `\mathcal{H}`, `\mathcal{I}`, `\mathcal{J}`, `\mathcal{K}`, `\mathcal{L}`, `\mathcal{M}`, `\mathcal{N}`,
ccc `\mathcal{O}`, `\mathcal{P}`, `\mathcal{Q}`, `\mathcal{R}`, `\mathcal{S}`, `\mathcal{T}`, `\mathcal{U}`,
ccc `\mathcal{V}`, `\mathcal{W}`, `\mathcal{X}`, `\mathcal{Y}`, `\mathcal{Z}`
\[{\infty}, {\partial}, {\nabla}, {\forall}, {\exists}, {\emptyset}, {\varnothing},\]
\[{\mathbb{R}}, {\mathbb{C}}, {\mathbb{Q}}, {\mathbb{Z}}, {\mathbb{N}},\]
\[{\mathcal{A}}, {\mathcal{B}}, {\mathcal{C}}, {\mathcal{D}}, {\mathcal{E}}, {\mathcal{F}}, {\mathcal{G}}, \]
\[{\mathcal{H}}, {\mathcal{I}}, {\mathcal{J}}, {\mathcal{K}}, {\mathcal{L}}, {\mathcal{M}}, {\mathcal{N}}, \]
\[{\mathcal{O}}, {\mathcal{P}}, {\mathcal{Q}}, {\mathcal{R}}, {\mathcal{S}}, {\mathcal{T}}, {\mathcal{U}}, \]
\[{\mathcal{V}}, {\mathcal{W}}, {\mathcal{X}}, {\mathcal{Y}}, {\mathcal{Z}},\]
---
-- **4. ??????? ? ???????? ?????????**:
ccc - `\frac{a}{b}`, `\sqrt{x}`, `\sqrt[n]{x^2}`
\[ \frac{a}{b}, \sqrt{x}, \sqrt[n]{x^2}\]
---
-- **5. ????? ? ?????????**:
ccc - `\sum`, `\prod`, `\int`, `\oint`, `\iint`, `\iiint`, `\iiiint`
\[
{\sum}, {\prod}, {\int}, {\oint}, {\iint}, {\iiint}, {\iiiint}
\]
----
-- **6. ???????**:
--
ccc - '\ begin{matrix} a & b \\ c & d \ end{matrix}'
\[
\begin{matrix} a & b \\ c & d \end{matrix}
\]
ccc - `\ begin{pmatrix} a & b \\ c & d \end{pmatrix}`
\[ \begin{pmatrix} a & b \\ c & d \end{pmatrix}\]
ccc - `\ begin{bmatrix} a & b \\ c & d \end{bmatrix}`
\[\begin{bmatrix} a & b \\ c & d \end{bmatrix}\]
ccc - `\ begin{vmatrix} a & b \\ c & d \end{vmatrix}`
\[\begin{vmatrix} a & b \\ c & d \end{vmatrix}\]
ccc - `\ begin{Vmatrix} a & b \\ c & d \end{Vmatrix}`
\[\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}\]
---
-- **7. ?????????**:
ccc - `\pm`, `\mp`, `\times`, `\div`, `\cdot`, `\ast`, `\star`, `\circ`, `\bullet`, `\oplus`,
ccc - `\ominus`, `\otimes`, `\oslash`, `\odot`, `\dagger`, `\ddagger`, `\cap`, `\cup`, `\uplus`,
ccc - `\sqcap`, `\sqcup`, `\triangleleft`, `\triangleright`, `\bigtriangleup`, `\bigtriangledown`,
ccc - `\lhd`, `\rhd`, `\unlhd`, `\unrhd`
\[ \pm, \mp, \times, \div, \cdot, \ast, \star, \circ, \bullet, \oplus, \]
\[ \ominus, \otimes, \oslash, \odot, \dagger, \ddagger, \cap, \cup, \uplus, \]
\[ \sqcap, \sqcup, \triangleleft, \triangleright, \bigtriangleup, \bigtriangledown, \]
\[ \lhd, \rhd, \unlhd, \unrhd\]
---
-- **8. ???????**:
ccc - `\leftarrow`, `\rightarrow`, `\uparrow`, `\downarrow`
ccc - `\Leftarrow`, `\Rightarrow`, `\Uparrow`, `\Downarrow`
ccc - `\longleftarrow`, `\longrightarrow`, `\Longleftarrow`, `\Longrightarrow`
ccc - `\mapsto`,
ccc - `\hookleftarrow`, `\hookrightarrow`, `\leftharpoonup`, `\rightharpoonup`,
ccc - `\leftharpoondown`, `\rightharpoondown`, `\rightleftharpoons`, `\leftrightarrows`
\[ \leftarrow , \rightarrow , \uparrow , \downarrow , \]
\[ \Leftarrow , \Rightarrow , \Uparrow , \Downarrow ,\]
\[ \longleftarrow , \longrightarrow , \Longleftarrow , \Longrightarrow , \]
\[ \mapsto , \]
\[ \hookleftarrow , \hookrightarrow , \leftharpoonup , \rightharpoonup ,\]
\[ \leftharpoondown , \rightharpoondown , \rightleftharpoons , \leftrightarrows \]
---
-- **9. ???????????**:
ccc - `\left(`, `\right)`, `\left[`, `\right]`, `\left\{`, `\right\}`, `\left|`, `\right|`, `\left\|`, `\right\|`
\[
\left( , \right) , \left[ , \right] , \left\{ , \right\} , \left| , \right| , \left\| , \right\|
\]
---
-- **10. ??????**:
ccc - `\ldots`, `\cdots`, `\vdots`, `\ddots`
- `\hat{a}`, `\check{a}`, `\breve{a}`, `\acute{a}`, `\grave{a}`, `\tilde{a}`, `\bar{a}`, `\vec{a}`, `\dot{a}`, `\ddot{a}`
\[
\ldots , \cdots , \vdots , \ddots,
\hat{a} , \check{a} , \breve{a} , \acute{a} , \grave{a} , \tilde{a} , \bar{a} , \vec{a} , \dot{a} , \ddot{a}
\]
---
--
--
ccc ### ??????? ?????????????
--
**1.??????? ?????**:
```latex
\frac{a}{b}
```
\[ \frac{a}{b} \]
-- **2. ?????????? ??????**:
```latex
\sqrt{x}
```
\[ \sqrt{x} \]
-- **3. ?????**:
```latex
\sum_{i=1}^{n} i
```
\[ \sum_{i=1}^{n} i \]
-- **4. ????????**:
```latex
\int_{a}^{b} f(x) \, dx
```
\[ \int_{a}^{b} f(x) \, dx \]
-- **5. ???????**:
```latex
\ begin{pmatrix}
a & b \\
c & d
\ end{pmatrix}
```
\[
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
\]
---
--
ccc ## ??????????? ????????? ?????????????? ????????
-- ### **1. ??????????????? ????? (sinh)**
??????????????? ????? ? ??? ??????????????? ???????, ??????????? ??????????????????? ??????. ??? ???????????? ????????? ???????:
\[ \sinh(x) = \frac{e^x {-} e^{{-}x}}{2} \]
-- ##### ???:
\( e \) ? ????????? ???????????? ????????? (???????? ????? 2.71828).
- \( x \) ? ???????? ???????.
--
--
--
-- ### **2. ??????????????? ??????? (cosh)**
??????????????? ??????? ? ??? ??????????????? ???????, ??????????? ??????????????????? ????????. ??? ???????????? ????????? ???????:
\[ \cosh(x) = \frac{e^x + e^{{-}x}}{2} \]
-- ##### ???:
\( e \) ? ????????? ???????????? ?????????.
- \( x \) ? ???????? ???????.
--
--
--
-- ### **3. ????????????** `(\prod)`
?????? ???????????? \(\prod\) ???????????? ??? ??????????? ???????????? ?????????????????? ?????. ?? ?????????? ??????? ????? \(\sum\), ?? ?????? ???????? ????????? ??????????????????, ?? ?? ???????????.
\[ \prod_{i=1}^{n} a_i = a_1 \cdot a_2 \cdot \ldots \cdot a_n \]
-- ##### ???:
\( i \) ? ?????? ???????? ??????????????????.
- \( a_i \) ? ???????? ??????????????????.
- \( n \) ? ?????????? ????????? ? ??????????????????.
---
-- ### **4. ???????? ????????**
-`(\oint)`
?????? ????????? ????????? \(\oint\) ???????????? ??? ??????????? ????????? ?? ?????????? ???????. ?? ????? ??????????? ? ??????????? ??????? ? ????????? ??????????.
--
-- ##### ?????? ????????????? ????????? ?????????:
\[ \oint_C f(z) \, dz \]
-- ##### ???:
\( C \) ? ????????? ??????.
- \( f(z) \) ? ???????, ????????????? ?? ???????.
- \( z \) ? ??????????? ??????????.
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