蛇的尾巴有什么作用

百度 资料图3月25日电据科威特通讯社、《卫报》及土耳其“TRTWORLD”网站报道，当地时间24日，在意大利新当选的国会议员选出两院议会的议长后，意大利总理真蒂洛尼已向总统塞尔吉奥·马塔雷拉递交了辞呈。

??????? ?? ????? 2003? ????? ???????? ?? ????????? ???? ??????? ????? ?? TeX.

??????? ???????? ??????:

• ????? ???????? ???? ??? <math>...</math>.
• ?????? + - = / ' | * < > ( ) ???? ?? ???? ??????.
• ???? ???? ???? ????? ??? ???????? ???????? {}? ??? ?????? ??? ???? ????.

??????

???????	??????	???? ????
????. (???)	\sin x + \ln y +\sgn z	$\sin x+\ln y+\operatorname {sgn} z$
???? (???)	sin x + ln y + sgn z	$sinx+lny+sgnz\,$
???? ??? ???????	\operatorname{function}	$\operatorname {function}$
???? ??????	\sin \cos \tan \cot \sec \csc	$\sin \ \cos \ \tan \ \cot \ \sec \ \csc \,$
???? ?????? ?????	\arcsin \arccos \arctan \arcsec \arccsc	$\arcsin \ \arccos \ \arctan \ \operatorname {arcsec} \ \operatorname {arccsc}$
???? ??????	\sinh\ \cosh\ \tanh\ \coth	$\sinh \ \cosh \ \tanh \ \coth$
???? ???????	\lim \sup \inf \limsup \liminf \log \ln \lg \exp	$\lim \sup \inf \limsup \liminf \log \ln \lg \exp \arg \min \max$
???? ?????	\det \deg \dim \hom \ker	$\det \deg \dim \hom \ker$

???? ????

???????	??????	???? ????
?????????	\hat o \acute o \dot o \ddot o \vec o \check o \grave o \breve o \widehat {abc} \tilde o \bar o	${\hat {o}}\ {\acute {o}}\ {\dot {o}}\ {\ddot {o}}\ {\vec {o}}\ {\check {o}}\ {\grave {o}}\ {\breve {o}}\ {\widehat {abc}}\ {\tilde {o}}\ {\bar {o}}$
?? ?? ???? (????? ??????? ??? ??????)	\text{Text}	${\text{Text}}$
?????? ??????	\star \times \circ \cdot \bullet \cap \cup \sqcup \vee \wedge \odot \oslash \oplus \ominus \otimes \div \pm \mp \triangle \triangleleft \triangleright	$\star \times \circ \cdot \bullet \cap \cup \sqcup \vee \wedge \odot \oslash \oplus \ominus \otimes \div \pm \mp \triangle \triangleleft \triangleright$
???????? ??????? (????? ?? ???? ???????? ???? ????:Oiint? ? ????:Oiiint? ? ????:Intorient.)	\sum \prod \coprod \int \iint \iiint \iiiint \oint \bigcup \bigcap \bigsqcup \bigvee \bigwedge \bigoplus \bigotimes \bigodot \biguplus	$\sum \prod \coprod \int \iint \iiint \iiiint \oint \bigcup \bigcap \bigsqcup \bigvee \bigwedge \bigoplus \bigotimes \bigodot \biguplus$
???	x + \cdots + y ?? x + \ldots + y	$x+\cdots +y$ ?? $x+\ldots +y$
??????	( ) [ ] \{ \} \lfloor \rfloor \lceil \rceil \langle \rangle / \backslash | \| \uparrow \Uparrow \downarrow \Downarrow \updownarrow \Updownarrow	$(\;)\;[\;]\;\{\;\}\;\lfloor \;\rfloor \;\lceil \;\rceil \;\langle \;\rangle \;/\;\backslash \;|\;\|\;\uparrow \;\Uparrow \;\downarrow \;\Downarrow \;\updownarrow \Updownarrow$
????????? ?????????	s_k \equiv 0 \pmod{m}	$s_{k}\equiv 0{\pmod {m}}$
????????	\nabla \partial x dx \dot x \ddot y	$\nabla \ \partial x\ dx\ {\dot {x}}\ {\ddot {y}}$
??????	\forall \exists \lnot \land \lor \to \leftrightarrow \Rightarrow \Leftarrow \Leftrightarrow \vdash \models	$\forall \exists \lnot \land \lor \to \leftrightarrow \Rightarrow \Leftarrow \Leftrightarrow \vdash \models$
?????????	\emptyset \varnothing \cap \cup \setminus \smallsetminus	$\emptyset \varnothing \cap \cup \setminus \smallsetminus$
??????	\sqrt{2}\approx\pm 1,4	${\sqrt {2}}\approx \pm 1,4$
	\sqrt[n]{x}	${\sqrt[{n}]{x}}$
????????	1=\sim \ \simeq \ \cong \ \le \ \ge \ \equiv \ \approx \ = \ \propto	$\sim \ \simeq \ \cong \ \leq \ \geq \ \equiv \ \approx \ =\ \propto$
?????? ?????????	\subset \subseteq \supset \supseteq \in \ni \notin	$\subset \ \subseteq \ \supset \ \supseteq \ \in \ \ni \ \notin$
??? ???????? (?????? ?????? ??????? \not)	\not\sim \ \not\simeq \ \not\cong \ \not\leq \ \not\geq \ \not\equiv \ \not\approx \ \ne\ \not\propto	$\not \sim \ \not \simeq \ \not \cong \ \not \leq \ \not \geq \ \not \equiv \ \not \approx \ \neq \ \not \propto$ $\Longleftarrow \ \Longrightarrow \ \Longleftrightarrow$
???? ????	\pm \mp \hbar \wr \dagger \ddagger \infty \ \vdash \ \top \bot \models \vdots \ddots \imath \; \ell \Re \; \Im \; \wp \; \mho	$\pm \mp \hbar \wr \dagger \ddagger$ $\infty \ \vdash \ \top \bot \models \vdots \ddots \imath \;\ell$ $\Re \;\Im \;\wp \;\mho$

???? ???? ????? ???? ????

???????	??????	???? ????
??? ???? ????	a^2 a^{-2} a^{\circ}	$a^{-2}$ ? $a^{2}$ $a^{\circ }$
???? ????	a_2	$a_{2}$
?????	a^{2+2}	$a^{2+2}$
	{a_{i,j}	$a_{i,j}$
????? ?? ? ????	x_2^3	$x_{2}^{3}$
???? ? ?? ????	{}_1^2\!X_3^4	${}_{1}^{2}\!X_{3}^{4}$
????	x'	$x'$
	x^\prime	$x^{\prime }$
?????? ?????	\dot{x}, \ddot{x	${\dot {x}},{\ddot {x}}$
????? ? ??? ???	\hat a \bar b \vec c \overline {g h i} \underline {j k l}	${\hat {a}}\ {\bar {b}}\ {\vec {c}}\ {\overline {ghi}}\ {\underline {jkl}}$
?????? ? ?????	\vec U \overrightarrow{AB} \widehat {POQ}	${\vec {U}}\ \ {\overrightarrow {AB}}\ \ {\widehat {POQ}}$
?????	1=\sum_{k=1}^N k^2	$\sum _{k=1}^{N}k^{2}$
????	1=\prod_{i=1}^N x_i	$\prod _{i=1}^{N}x_{i}$
?????	\lim_{n \to \infty}x_n	$\lim _{n\to \infty }x_{n}$
????? ???? ?? ??? ????	\int \frac{1}{1+t^2}\, dt \int_{-N}^{N} e^x\, dx	$\int {\frac {1}{1+t^{2}}}\,dt\int _{-N}^{N}e^{x}\,dx$
????? ??? ????	\oint_{C} x^3\, dx + 4y^2\, dy	$\oint _{C}x^{3}\,dx+4y^{2}\,dy$
????? ?????	\iint e^{-\frac{x^2+y^2}{2}\, dx dy	$\iint e^{-{\frac {x^{2}+y^{2}}{2}}}\,dxdy$
?????	\bigcap_1^{n} p	$\bigcap _{1}^{n}p$
?????	\bigcup_1^{k} p	$\bigcup _{1}^{k}p$

????? ???????? ???? ??????

???????	??????	???? ????
????	\frac{2}{4} ?? {2 \over 4}	${\frac {2}{4}}$
???? ?????	\tfrac{2}{4} = 0.5	${\tfrac {2}{4}}=0.5$
???? ????? (?????)	\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a	${\dfrac {2}{4}}=0.5\qquad {\dfrac {2}{c+{\dfrac {2}{d+{\dfrac {2}{4}}}}}}=a$
???? ????? (???????)	\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a	${\cfrac {2}{c+{\cfrac {2}{d+{\cfrac {2}{4}}}}}}=a$
????? ?? ??????	\cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2}	${\cfrac {x}{1+{\cfrac {\cancel {y}}{\cancel {y}}}}}={\cfrac {x}{2}}$
???? ??????	1=x = a_0 + \frac{1}{a_1 + \frac{1}{a_2 + \frac{1}{a_3+\cdots} } }	$x=a_{0}+{\frac {1}{a_{1}+{\frac {1}{a_{2}+{\frac {1}{a_{3}+\cdots }}}}}}$
	1=x = a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{a_3+\cdots} } }	$x=a_{0}+{\cfrac {1}{a_{1}+{\cfrac {1}{a_{2}+{\cfrac {1}{a_{3}+\cdots }}}}}}$
??????? ??? ??????? ???????	{n \choose k} ?? C_n^k	${n \choose k}$ ?? $C_{n}^{k}$
???????	\begin{pmatrix} x & y \\ z & v \end{pmatrix}	${\begin{pmatrix}x&y\\z&v\end{pmatrix}}$
	\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix}	${\begin{bmatrix}0&\cdots &0\\\vdots &\ddots &\vdots \\0&\cdots &0\end{bmatrix}}$
	\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}	${\begin{Bmatrix}x&y\\z&v\end{Bmatrix}}$
	\begin{vmatrix} x & y \\ z & v \end{vmatrix}	${\begin{vmatrix}x&y\\z&v\end{vmatrix}}$
	\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}	${\begin{Vmatrix}x&y\\z&v\end{Vmatrix}}$
	\begin{matrix} x & y \\ z & v \end{matrix}	${\begin{matrix}x&y\\z&v\end{matrix}}$
	\begin{smallmatrix} a & b \\ c & d \end{smallmatrix}	${\begin{smallmatrix}a&b\\c&d\end{smallmatrix}}$
???????	\begin{array}{c{{!}}r{{!}}l} \rm center & \rm right & \rm left \\ \hline c & r & l \end{array}	${\begin{array}{c|r|l}{\rm {center}}&{\rm {right}}&{\rm {left}}\\\hline c&r&l\end{array}}$
????? ???????	1=f(n)=\left\{\begin{matrix} n/2, & \mbox{if }n\mbox{is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{matrix}\right	$f(n)=\left\{{\begin{matrix}n/2,&{\mbox{if }}n{\mbox{ is even}}\\3n+1,&{\mbox{if }}n{\mbox{ is odd}}\end{matrix}}\right.$
??????? ?? ??? ????	1=\begin{align}f(n+1) &= (n+1)^2 \\ &= n^2 + 2n + 1 \end{align}	${\begin{aligned}f(n+1)&=(n+1)^{2}\\&=n^{2}+2n+1\end{aligned}}$
??????	\overbrace{1+2+\cdots+100}^{5050}	$\overbrace {1+2+\cdots +100} ^{5050}$
	\underbrace{a+b+\cdots+z}_{26}	$\underbrace {a+b+\cdots +z} _{26}$
?????	1=x \stackrel{?}{=} y	$x{\stackrel {?}{=}}y$
	1=x \overset{?}{=} y	$x{\overset {?}{=}}y=1$
	1=x \underset{?}{=} y	$x{\underset {?}{=}}y=1$
	x \xrightarrow{\text {text} } y, x \xleftarrow{\text {text} } y	$x{\xrightarrow {\text{text}}}y,x{\xleftarrow {\text{text}}}y$

?? ?????

???? ?? ??? ??? ????? ???? ?? ????? ????????? ??? ???? ?????? ????? ????? ??? ???????.

???????	??????	???? ????
????? ??? ??????	\cancel{5y}	${\cancel {5y}}$
????? ??? ??????	\bcancel{5y}	${\bcancel {5y}}$
?????	\xcancel{5y}	${\xcancel {5y}}$
????? ?? ????	\cancelto{0}{5y}	${\cancelto {0}{5y}}$

???? ?????

???????	??????	???? ????
???? ??????? ????? (???? ????????)	\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta \Iota \Kappa \Lambda \Mu \Nu \Xi O \Pi \Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega	$\mathrm {A} \;\mathrm {B} \;\Gamma \;\Delta \;\mathrm {E} \;\mathrm {Z} \;\mathrm {H} \;\Theta \;\mathrm {I} \;\mathrm {K} \;\Lambda \;\mathrm {M} \,$ $\mathrm {N} \;\Xi \;O\;\Pi \;\mathrm {P} \;\Sigma \;\mathrm {T} \;\Upsilon \;\Phi \;\mathrm {X} \;\Psi \;\Omega \,$
???? ??????? ????? (???? ????????)	\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi o \pi \varpi \rho \sigma \varsigma \tau \upsilon \phi \varphi \chi \psi \omega	$\alpha \;\beta \;\gamma \;\delta \;\epsilon \;\varepsilon \;\zeta \;\eta \;\theta \;\iota \;\kappa \;\lambda \;\mu \;\nu \,$ $\xi \;o\;\pi \;\varpi \;\rho \;\sigma \;\varsigma \;\tau \;\upsilon \;\phi \;\varphi \;\chi \;\psi \;\omega \,$
???????	\mathfrak{a b c d e f g h i j k l m} \mathfrak{n o p q r s t u v w x y z} <syntaxhighlight lang="latex">\mathfrak{A B C D E F G H I J K L M N} \mathfrak{O P Q R S T U V W X Y Z}	${\mathfrak {abcdefghijklm}}$ ${\mathfrak {nopqrstuvwxyz}}$ ${\mathfrak {ABCDEFGHIJKLMN}}$ ${\mathfrak {OPQRSTUVWXYZ}}$
???? ?????	\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathbb{abcdefghijklmnopqrstuvwxyz}	$\mathbb {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$$\mathbb {abcdefghijklmnopqrstuvwxyz}$
	\N \Z \Q \R \C \H (?? ???????? ??????? ??? ??????????)	$\mathbb {N} \ \mathbb {Z} \ \mathbb {Q} \ \mathbb {R} \ \mathbb {C} \ \mathbb {H}$
?? ????	\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathbf{abcdefghijklmnopqrstuvwxyz} \mathbf{1234567890}	$\mathbf {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ $\mathbf {abcdefghijklmnopqrstuvwxyz}$ $\mathbf {1234567890}$
?? ??????	\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathrm{abcdefghijklmnopqrstuvwxyz} \mathrm{1234567890}	$\mathrm {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ $\mathrm {abcdefghijklmnopqrstuvwxyz}$ $\mathrm {1234567890}$
?? ???? ??????? (Sans serif)	\mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathsf{abcdefghijklmnopqrstuvwxyz} \mathsf{1234567890}	${\mathsf {ABCDEFGHIJKLMNOPQRSTUVWXYZ}}$ ${\mathsf {abcdefghijklmnopqrstuvwxyz}}$ ${\mathsf {1234567890}}$
?? ????	ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890	$ABCDEFGHIJKLMNOPQRSTUVWXYZ$ $abcdefghijklmnopqrstuvwxyz$ $1234567890$
?? ????	\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathcal{abcdefghijklmnopqrstuvwxyz} \mathcal{1234567890}	${\mathcal {ABCDEFGHIJKLMNOPQRSTUVWXYZ}}$ ${\mathcal {abcdefghijklmnopqrstuvwxyz}}$ ${\mathcal {1234567890}}$
???? ?????	\aleph \beth \daleth \gimel	$\aleph \;\beth \;\daleth \;\gimel$
????? ????? 1	\textstyle{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \textstyle{abcdefghijklmnopqrstuvwxyz} \textstyle{1234567890}	$\textstyle {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ $\textstyle {abcdefghijklmnopqrstuvwxyz}$ $\textstyle {1234567890}$
????? ????? 2	\scriptstyle{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \scriptstyle{abcdefghijklmnopqrstuvwxyz} \scriptstyle{1234567890}	$\scriptstyle {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ $\scriptstyle {abcdefghijklmnopqrstuvwxyz}$ $\scriptstyle {1234567890}$
????? ????? 3	\scriptscriptstyle{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \scriptscriptstyle{abcdefghijklmnopqrstuvwxyz} \scriptscriptstyle{1234567890}	$\scriptscriptstyle {ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ $\scriptscriptstyle {abcdefghijklmnopqrstuvwxyz}$ $\scriptscriptstyle {1234567890}$

????? ?? ????????? ???????

N ???	( \frac{1}{2} )^n	$({\frac {1}{2}})^{n}$
Y ???	\left ( \frac{1}{2} \right )^n	$\left({\frac {1}{2}}\right)^{n}$

?????? ??????? \left? \right ?? ??? ?????:

???????	??????	???? ????
?????	\left( A \right)	$\left(A\right)$
????????	\left [ A \right] ?? \left \lbrack \frac{a}{b} \right \rbrack	$\left[A\right]$
??????? / ???????	\left\{ A \right\}	$\left\{A\right\}$
??????	\left\langle A \right\rangle	$\left\langle A\right\rangle$
?????? ???????	\left| A \right | ?? \left\vert A \right\vert	$\left\vert A\right\vert$
?????? \left ? \right ?????? ???? ??? ?? ????????.	\left. {A \over B} \right\} \to X	$\left.{A \over B}\right\}\to X$

????????

TeX ???? ???? ????? ???????? ?????? ???????? ??? ???? ????? ?????? ????? ?? ??? ???????.

???????	??????	???? ????
???? ???? ????? (double quad space)	a \qquad b	$a\qquad b$
???? ???? (quad space)	a \quad b	$a\quad b$
???? ?????	a\ b	$a\ b$
???? ?????	a\;b	$a\;b$
???? ????	a\,b	$a\,b$
??? ???? ????	ab	$ab\,$
???? ????	a\!b	$a\!b$

?????

?????? ???? ??? ???? ????? ???? ????? ???? ???? ?? ????? ?????? : \,

<math>a(1+e^2/2)</math> ???? $a(1+e^{2}/2)$

<math>a(1+e^2/2)\,</math> ???? $a(1+e^{2}/2)\,$

????? ??????

• <math>{\color{Blue}x^2}+{\color{Brown}2x}-{\color{OliveGreen}1}</math>
  

????? ???: ${\color {Blue}x^{2}}+{\color {Brown}2x}-{\color {OliveGreen}1}$

???? ?????? ???? ???? ??????? ???? ???? ?? {} ? ?????? color{???} ??? ??????.

• <math>{\color{Blue}x}{\color{red}^2}+{\color{Brown}2x}-{\color{OliveGreen}1}</math>
  

????? ???: ${\color {Blue}x}{\color {red}^{2}}+{\color {Brown}2x}-{\color {OliveGreen}1}$

??????? ????????

$\color {Apricot}{\text{Apricot}}$	$\color {Aquamarine}{\text{Aquamarine}}$	$\color {Bittersweet}{\text{Bittersweet}}$	$\color {Black}{\text{Black}}$
$\color {Blue}{\text{Blue}}$	$\color {BlueGreen}{\text{BlueGreen}}$	$\color {BlueViolet}{\text{BlueViolet}}$	$\color {BrickRed}{\text{BrickRed}}$
$\color {Brown}{\text{Brown}}$	$\color {BurntOrange}{\text{BurntOrange}}$	$\color {CadetBlue}{\text{CadetBlue}}$	$\color {CarnationPink}{\text{CarnationPink}}$
$\color {Cerulean}{\text{Cerulean}}$	$\color {CornflowerBlue}{\text{CornflowerBlue}}$	$\color {Cyan}{\text{Cyan}}$	$\color {Dandelion}{\text{Dandelion}}$
$\color {DarkOrchid}{\text{DarkOrchid}}$	$\color {Emerald}{\text{Emerald}}$	$\color {ForestGreen}{\text{ForestGreen}}$	$\color {Fuchsia}{\text{Fuchsia}}$
$\color {Goldenrod}{\text{Goldenrod}}$	$\color {Gray}{\text{Gray}}$	$\color {Green}{\text{Green}}$	$\color {GreenYellow}{\text{GreenYellow}}$
$\color {JungleGreen}{\text{JungleGreen}}$	$\color {Lavender}{\text{Lavender}}$	$\color {LimeGreen}{\text{LimeGreen}}$	$\color {Magenta}{\text{Magenta}}$
$\color {Mahogany}{\text{Mahogany}}$	$\color {Maroon}{\text{Maroon}}$	$\color {Melon}{\text{Melon}}$	$\color {MidnightBlue}{\text{MidnightBlue}}$
$\color {Mulberry}{\text{Mulberry}}$	$\color {NavyBlue}{\text{NavyBlue}}$	$\color {OliveGreen}{\text{OliveGreen}}$	$\color {Orange}{\text{Orange}}$
$\color {OrangeRed}{\text{OrangeRed}}$	$\color {Orchid}{\text{Orchid}}$	$\color {Peach}{\text{Peach}}$	$\color {Periwinkle}{\text{Periwinkle}}$
$\color {PineGreen}{\text{PineGreen}}$	$\color {Plum}{\text{Plum}}$	$\color {ProcessBlue}{\text{ProcessBlue}}$	$\color {Purple}{\text{Purple}}$
$\color {RawSienna}{\text{RawSienna}}$	$\color {Red}{\text{Red}}$	$\color {RedOrange}{\text{RedOrange}}$	$\color {RedViolet}{\text{RedViolet}}$
$\color {Rhodamine}{\text{Rhodamine}}$	$\color {RoyalBlue}{\text{RoyalBlue}}$	$\color {RoyalPurple}{\text{RoyalPurple}}$	$\color {RubineRed}{\text{RubineRed}}$
$\color {Salmon}{\text{Salmon}}$	$\color {SeaGreen}{\text{SeaGreen}}$	$\color {Sepia}{\text{Sepia}}$	$\color {SkyBlue}{\text{SkyBlue}}$
$\color {SpringGreen}{\text{SpringGreen}}$	$\color {Tan}{\text{Tan}}$	$\color {TealBlue}{\text{TealBlue}}$	$\color {Thistle}{\text{Thistle}}$
$\color {Turquoise}{\text{Turquoise}}$	$\color {Violet}{\text{Violet}}$	$\color {VioletRed}{\text{VioletRed}}$	${\color {White}{\text{White}}}$
$\color {WildStrawberry}{\text{WildStrawberry}}$	$\color {Yellow}{\text{Yellow}}$	$\color {YellowGreen}{\text{YellowGreen}}$	$\color {YellowOrange}{\text{YellowOrange}}$

?????

??????? ?????? ?? ?????? ???????

????

$x_{1}=a^{2}+b^{2}+c^{2}$

<math>x_1 = a^2 + b^2 + c^2</math>

?????? ?? ?????? ???????

????

$x_{1,2}={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$

<math>x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

?????? ????? ???????

????

$\left(3-x\right)\times \left({\frac {2}{3-x}}\right)=\left(3-x\right)\times \left({\frac {3}{2-x}}\right)$

<math>\left(3-x\right) \times \left( \frac{2}{3-x} \right) = \left(3-x\right) \times \left( 
 \frac{3}{2-x} \right)</math>

?????? ????? ??????? ???????

????

$2=\left({\frac {\left(3-x\right)\times 3}{2-x}}\right)$

<math>2 = \left( \frac{\left(3-x\right) \times 3}{2-x} \right)</math>

????? ??? ????

????

$4-2x=9-3x\!$

<math>4-2x = 9-3x \!</math>

????

$-2x+3x=9-4\!$

<math>-2x+3x = 9-4 \!</math>

???

????

$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {m^{2}\,n}{3^{m}\left(m\,3^{n}+n\,3^{m}\right)}}$

<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}</math>

????

$B(u)=\sum _{k=0}^{N}{P_{k}}{N! \over k!(N-k)!}{u^{k}}(1-u)^{N-k}\,$

<math>B(u) = \sum_{k=0}^N {P_k}{N! \over k!(N - k)!}{u^k}(1
 <u)^{N-k}\,</math>

????

${}_{p}F_{q}(a_{1},...,a_{p};c_{1},...,c_{q};z)=\sum _{n=0}^{\infty }{\frac {(a_{1})_{n}\cdot \cdot \cdot (a_{p})_{n}}{(c_{1})_{n}\cdot \cdot \cdot (c_{q})_{n}}}{\frac {z^{n}}{n!}}\,$

 <math>{}_pF_q(a_1,...,a_p;c_1,...,c_q;z) = \sum_{n=0}^\infty

\frac{(a_1)_n\cdot\cdot\cdot(a_p)_n}{(c_1)_n\cdot\cdot\cdot(c_q)_n}\frac{z^n}{n!}\,</math>

????

$\phi _{n}(\kappa )=0.033C_{n}^{2}\kappa ^{-11/3},\,\,\,{\frac {1}{L_{0}}}<\!\!<\kappa <\!\!<{\frac {1}{l_{0}}}\,$

<math>\phi_n(\kappa) =

0.033C_n^2\kappa^{-11/3},\,\,\,\frac{1}{L_0}<\!\!<\kappa<\!\!<\frac{1}{l_0}\,</math>

????

$f(x)={a_{0} \over 2}+\sum _{n=1}^{\infty }a_{n}\cos \left({2n\pi x \over T}\right)+b_{n}\sin \left({2n\pi x \over T}\right)\,$

<math>f(x) = {a_0\over 2} + \sum_{n=1}^\infty a_n\cos\left({2n\pi x \over T}\right) +

b_n\sin\left({2n\pi x\over T}\right)\,</math>

????

$J_{p}(z)=\sum _{k=0}^{\infty }{\frac {(-1)^{k}\left({\frac {z}{2}}\right)^{2k+p}}{k!\Gamma (k+p+1)}}\,$

<math>J_p(z) = \sum_{k=0}^\infty </math>

\frac{(-1)^k\left(\frac{z}{2}\right)^{2k+p}}{k!\Gamma(k+p+1)}\,</math>

??????? ???????

????

$u''+p(x)u'+q(x)u=f(x),\,\,\,x>a$

<math>u'' + p(x)u' + q(x)u=f(x),\,\,\,x>a</math>

????

$|{\bar {z}}|=|z|,|({\bar {z}})^{n}|=|z|^{n},\arg(z^{n})=n\arg(z)\,$

<math>|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)\,</math>

??????

????

$\lim _{z\rightarrow z_{0}}f(z)=f(z_{0})\,$

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)\,</math>

???? ?????? ????

????: ???? ?????? ???? "???? ???".

${\begin{array}{|c|lcccccr|}\hline x&-\infty &&&0&&&&+\infty \\\hline f'(x)&&-&&0&&+&&\\\hline f(x)&&\searrow &&0&&\nearrow &&\\\hline \end{array}}\,$

<math>\begin{array}{|c|lcccccr|}\hline
x & -\infty & & & 0 & & & & +\infty \\ \hline f'(x) & & - & & 0 & & + & & \\ \hline
f(x) & & \searrow & & 0 & & \nearrow & & \\ \hline
\end{array}</math>

?????

????

$\phi _{n}(\kappa )={\frac {1}{4\pi ^{2}\kappa ^{2}}}\int _{0}^{\infty }{\frac {\sin(\kappa R)}{\kappa R}}{\frac {\partial }{\partial R}}\left[R^{2}{\frac {\partial D_{n}(R)}{\partial R}}\right]\,dR\,$

<math>\phi_n(\kappa) = \frac{1}{4\pi^2\kappa^2} \int_0^\infty

\frac{\sin(\kappa R)}{\kappa R} \frac{\partial}{\partial R}\left[R^2\frac{\partial

D_n(R)}{\partial R}\right]\,dR\,</math>

????

$u(x,y)={\frac {1}{\sqrt {2\pi }}}\int _{0}^{\infty }f(\xi )\left[g(|x+\xi |,y)+g(|x-\xi |,y)\right]\,d\xi \,$

<math>u(x,y) = \frac{1}{\sqrt{2\pi}}\int_0^\infty

f(\xi)\left [g(|x+\xi|,y)+g(|x-\xi|,y)\right]\,d\xi\,</math>

????

$\int _{0}^{1}{\frac {1}{\sqrt {-\ln x}}}dx\,$

math>\int_0^1 \frac{1}{\sqrt{-\ln x}} dx\,</math>

????

$\int _{0}^{\infty }e^{-st}t^{x-1}\,dt,\,\,\,s>0\,$

<math>\int_0^\infty e^{-st}t^{x-1}\,dt,\,\,\,s>0\,</math>

????

$\int _{0}^{\infty }x^{\alpha }\sin(x)\,dx=2^{\alpha }{\sqrt {\pi }}\,{\frac {\Gamma ({\frac {\alpha }{2}}+1)}{\Gamma ({\frac {1}{2}}-{\frac {\alpha }{2}})}}\,$
 

<math>\int_0^\infty x^\alpha \sin(x)\,dx = 2^\alpha \sqrt{\pi}\,</math>

\frac{\Gamma(\frac{\alpha}{2}+1)}{\Gamma(\frac{1}{2}-\frac{\alpha}{2})}\,</math>

????

$\int _{a}^{x}\int _{a}^{s}f(y)\,dy\,ds=\int _{a}^{x}(y)(x-y)\,dy\,$

<math>\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy\,</math>

????????? ???????? ?????? ???????

????

$f(x)={\begin{cases}1&-1\leq x<0\\{\frac {1}{2}}&x=0\\x&0<x\leq 1\end{cases}}$

<math>f(x) = \begin{cases}1 & -1 \le x < 0\\
 \frac{1}{2} & x = 0\\x&0<x\le 1\end{cases}</math>

???? ????

????

$\Gamma (n+1)=n\Gamma (n),\;n>0$

<math>\Gamma(n+1) = n \Gamma(n),  \; n>0</math>

????

$\Gamma (z)=\int _{0}^{\infty }e^{-t}t^{z-1}\,dt\,$

<math>\Gamma(z) = \int_0^\infty e^{-t} t^{z-1} \,dt\,</math>