前言1:在利用markdown写博客或者写论文的时候经常需要latex编写数学公式,很多符号可能都不知道怎么找吧,所以做了这个符号大全

前言2:本篇博客主要参考Markdown 数学符号大全_markdown数学符号-CSDN博客,但是里面的错误加载太多了,不是那么整洁,所以我在此基础上进行了修改,完善,尽量更加美观方便地供大家参考

前言3:其实写博客和论文的时候可以借助ai进行latex公式进行编写,所以可能这篇博客也没太大用处吧(笑),但喜欢有时可能自己编写修改起来更方便(?),hh算了,能起到点帮助就可以了

1、希腊字母

符号代码符号代码符号代码符号代码
α \alpha α\alpha κ \kappa κ\kappa ψ \psi ψ\psi ε \varepsilon ε\varepsilon
β \beta β\beta λ \lambda λ\lambda ρ \rho ρ\rho ϰ \varkappa ϰ\varkappa
χ \chi χ\chi μ \mu μ\mu σ \sigma σ\sigma φ \varphi φ\varphi
δ \delta δ\delta ν \nu ν\nu τ \tau τ\tau ϖ \varpi ϖ\varpi
ϵ \epsilon ϵ\epsilon ο \omicron ο\omicron θ \theta θ\theta ϱ \varrho ϱ\varrho
η \eta η\eta ω \omega ω\omega υ \upsilon υ\upsilon ς \varsigma ς\varsigma
γ \gamma γ\gamma ϕ \phi ϕ\phi ξ \xi ξ\xi ϑ \vartheta ϑ\vartheta
ι \iota ι\iota π \pi π\pi ζ \zeta ζ\zeta
符号代码符号代码符号代码符号代码
ϝ \digamma ϝ\digamma Δ \Delta Δ\Delta Γ \Gamma Γ\Gamma Λ \Lambda Λ\Lambda
Ω \Omega Ω\Omega Φ \Phi Φ\Phi Π \Pi Π\Pi Ψ \Psi Ψ\Psi
Σ \Sigma Σ\Sigma Θ \Theta Θ\Theta Υ \Upsilon Υ\Upsilon Ξ \Xi Ξ\Xi

2、希伯来字母

符号代码符号代码符号代码符号代码
ℵ \aleph ℵ\aleph ℶ \beth ℶ\beth ℸ \daleth ℸ\daleth ℷ \gimel ℷ\gimel

3、数学结构

符号代码符号代码符号代码
a b c x y z \frac{abc}{xyz} xyzabc​\frac{abc}{xyz} a b c ‾ \overline{abc} abc\overline{abc} a b c → \overrightarrow{abc} abc \overrightarrow{abc}
f ′ f' f′f’ a b c ‾ \underline{abc} abc​\underline{abc} a b c ← \overleftarrow{abc} abc \overleftarrow{abc}
a b c \sqrt{abc} abc ​\sqrt{abc} a b c ^ \widehat{abc} abc \widehat{abc} a b c ⏞ \overbrace{abc} abc \overbrace{abc}
a b c n \sqrt[n]{abc} nabc ​\sqrt[n]{abc} a b c ~ \widetilde{abc} abc \widetilde{abc} a b c ⏟ \underbrace{abc} abc​\underbrace{abc}

4、分隔符

符号代码符号代码符号代码符号代码
\ \backslash \\backslash ⌊ \lfloor ⌊\lfloor ⇑ \Uparrow ⇑\Uparrow ⌞ \llcorner └\llcorner
∥ \Vert ∥\Vert ⌋ \rfloor ⌋\rfloor ↑ \uparrow ↑\uparrow ⌟ \lrcorner ┘\lrcorner
⟨ \langle ⟨\langle ⌈ \lceil ⌈\lceil ⇓ \Downarrow ⇓\Downarrow ⌜ \ulcorner ┌\ulcorner
⟩ \rangle ⟩\rangle ⌉ \rceil ⌉\rceil ↓ \downarrow ↓\downarrow ⌝ \urcorner ┐\urcorner

5、可变大小的符号

符号代码符号代码符号代码符号代码符号代码
∑ \sum ∑\sum ∫ \int ∫\int ⨄ \biguplus ⨄\biguplus ⨁ \bigoplus ⨁\bigoplus ⋁ \bigvee ⋁\bigvee
∏ \prod ∏\prod ∮ \oint ∮\oint ⋂ \bigcap ⋂\bigcap ⨂ \bigotimes ⨂\bigotimes ⋀ \bigwedge ⋀\bigwedge
∐ \coprod ∐\coprod ∬ \iint ∬\iint ⋃ \bigcup ⋃\bigcup ⨀ \bigodot ⨀\bigodot ⨆ \bigsqcup ⨆\bigsqcup

6、标准函数名称

只需要加个 “\” 就可以了,不然显示出来时斜着的,对比如下

符号代码符号代码
arccos ⁡ \arccos arccos\arccos a r c s c o s arcscos arcscosarccos

7、二进制运算/关系符号

7.1 基础运算符号

符号表达式符号表达式符号表达式符号表达式
∗ \ast ∗\ast ± \pm ±\pm ∩ \cap ∩\cap ⊲ \lhd ⊲\lhd
⋆ \star ⋆\star ∓ \mp ∓\mp ∪ \cup ∪\cup ⊳ \rhd ⊳\rhd
⋅ \cdot ⋅\cdot ⨿ \amalg ⨿\amalg ⊎ \uplus ⊎\uplus ◃ \triangleleft ◃\triangleleft
∘ \circ ∘\circ ⊙ \odot ⊙\odot ⊓ \sqcap ⊓\sqcap ▹ \triangleright ▹\triangleright
∙ \bullet ∙\bullet ⊖ \ominus ⊖\ominus ⊔ \sqcup ⊔\sqcup ⊴ \unlhd ⊴\unlhd
◯ \bigcirc ◯\bigcirc ⊕ \oplus ⊕\oplus ∧ \wedge ∧\wedge ⊵ \unrhd ⊵\unrhd
⋄ \diamond ⋄\diamond ⊘ \oslash ⊘\oslash ∨ \vee ∨\vee ▽ \bigtriangledown ▽\bigtriangledown
× \times ×\times ⊗ \otimes ⊗\otimes † \dagger †\dagger △ \bigtriangleup △\bigtriangleup
÷ \div ÷\div ≀ \wr ≀\wr ‡ \ddagger ‡\ddagger ∖ \setminus ∖\setminus
⋅ \centerdot ⋅\centerdot □ \Box □\Box ⊼ \barwedge ⊼\barwedge ⊻ \veebar ⊻\veebar
⊛ \circledast ⊛\circledast ⊞ \boxplus ⊞\boxplus ⋏ \curlywedge ⋏\curlywedge ⋎ \curlyvee ⋎\curlyvee
⊚ \circledcirc ⊚\circledcirc ⊟ \boxminus ⊟\boxminus ⋒ \Cap ⋒\Cap ⋓ \Cup ⋓\Cup
⊝ \circleddash ⊝\circleddash ⊠ \boxtimes ⊠\boxtimes ⊥ \bot ⊥\bot ⊤ \top ⊤\top
∔ \dotplus ∔\dotplus ⊡ \boxdot ⊡\boxdot ⊺ \intercal ⊺\intercal ⋌ \rightthreetimes ⋌\rightthreetimes
⋇ \divideontimes ⋇\divideontimes □ \square □\square ⩞ \doublebarwedge ⩞\doublebarwedge ⋋ \leftthreetimes ⋋\leftthreetimes

7.2 基础关系符号

符号表达式符号表达式符号表达式符号表达式
≡ \equiv ≡\equiv ≤ \leq ≤\leq ≥ \geq ≥\geq ⊥ \perp ⊥\perp
≅ \cong ≅\cong ≺ \prec ≺\prec ≻ \succ ≻\succ ∣ \mid ∣\mid
≠ \neq =\neq ⪯ \preceq ⪯\preceq ⪰ \succeq ⪰\succeq ∥ \parallel ∥\parallel
∼ \sim ∼\sim ≪ \ll ≪\ll ≫ \gg ≫\gg ⋈ \bowtie ⋈\bowtie
≃ \simeq ≃\simeq ⊂ \subset ⊂\subset ⊃ \supset ⊃\supset ⋈ \Join ⋈\Join
≈ \approx ≈\approx ⊆ \subseteq ⊆\subseteq ⊇ \supseteq ⊇\supseteq ⋉ \ltimes ⋉\ltimes
≍ \asymp ≍\asymp ⊏ \sqsubset ⊏\sqsubset ⊐ \sqsupset ⊐\sqsupset ⋊ \rtimes ⋊\rtimes
≐ \doteq ≐\doteq ⊑ \sqsubseteq ⊑\sqsubseteq ⊒ \sqsupseteq ⊒\sqsupseteq ⌣ \smile ⌣\smile
∝ \propto ∝\propto ⊣ \dashv ⊣\dashv ⊢ \vdash ⊢\vdash ⌢ \frown ⌢\frown
⊨ \models ⊨\models ∈ \in ∈\in ∋ \ni ∋\ni ∉ \notin ∈/\notin

7.3 扩展关系符号

符号表达式符号表达式符号表达式符号表达式
≊ \approxeq ≊\approxeq ≦ \leqq ≦\leqq ≧ \geqq ≧\geqq ≶ \lessgtr ≶\lessgtr
∼ \thicksim ∼\thicksim ⩽ \leqslant ⩽\leqslant ⩾ \geqslant ⩾\geqslant ⋚ \lesseqgtr ⋚\lesseqgtr
∽ \backsim ∽\backsim ⪅ \lessapprox ⪅\lessapprox ⪆ \gtrapprox ⪆\gtrapprox ⪋ \lesseqqgtr ⪋\lesseqqgtr
⋍ \backsimeq ⋍\backsimeq ⋘ \lll ⋘\lll ⋙ \ggg ⋙\ggg ⪌ \gtreqqless ⪌\gtreqqless
≜ \triangleq ≜\triangleq ⋖ \lessdot ⋖\lessdot ⋗ \gtrdot ⋗\gtrdot ⋛ \gtreqless ⋛\gtreqless
≗ \circeq ≗\circeq ≲ \lesssim ≲\lesssim ≳ \gtrsim ≳\gtrsim ≷ \gtrless ≷\gtrless
≏ \bumpeq ≏\bumpeq ⪕ \eqslantless ⪕\eqslantless ⪖ \eqslantgtr ⪖\eqslantgtr ∍ \backepsilon ∍\backepsilon
≎ \Bumpeq ≎\Bumpeq ≾ \precsim ≾\precsim ≿ \succsim ≿\succsim ≬ \between ≬\between
≑ \doteqdot ≑\doteqdot ⪷ \precapprox ⪷\precapprox ⪸ \succapprox ⪸\succapprox ⋔ \pitchfork ⋔\pitchfork
≈ \thickapprox ≈\thickapprox ⋐ \Subset ⋐\Subset ⋑ \Supset ⋑\Supset ∣ \shortmid ∣\shortmid
≒ \fallingdotseq ≒\fallingdotseq ⫅ \subseteqq ⫅\subseteqq ⫆ \supseteqq ⫆\supseteqq ⌢ \smallfrown ⌢\smallfrown
≓ \risingdotseq ≓\risingdotseq ⊏ \sqsubset ⊏\sqsubset ⊐ \sqsupset ⊐\sqsupset ⌣ \smallsmile ⌣\smallsmile
∝ \varpropto ∝\varpropto ⋞ \curlyeqprec ⋞\curlyeqprec ⋟ \curlyeqsucc ⋟\curlyeqsucc ⊨ \vDash ⊨\vDash
∴ \therefore ∴\therefore ⋞ \curlyeqprec ⋞\curlyeqprec ⋟ \curlyeqsucc ⋟\curlyeqsucc ⊨ \vDash ⊨\vDash
∵ \because ∵\because ◀ \blacktriangleleft ◀\blacktriangleleft ▶ \blacktriangleright ▶\blacktriangleright ∥ \shortparallel ∥\shortparallel
≖ \eqcirc ≖\eqcirc ⊴ \trianglelefteq ⊴\trianglelefteq ⊵ \trianglerighteq ⊵\trianglerighteq ∥ \shortparallel ∥\shortparallel
≠ \neq =\neq ⊲ \vartriangleleft ⊲\vartriangleleft ⊳ \vartriangleright ⊳\vartriangleright ∦ \nshortparallel \nshortparallel

7.4 否定关系符号

符号表达式符号表达式符号表达式符号表达式
≆ \ncong ≆\ncong ≰ \nleq ≰\nleq ≱ \ngeq ≱\ngeq ⊈ \nsubseteq ⊈\nsubseteq
∤ \nmid ∤\nmid ≰ \nleqq \nleqq ≱ \ngeqq \ngeqq ⊉ \nsupseteq ⊉\nsupseteq
∦ \nparallel ∦\nparallel ≰ \nleqslant \nleqslant ≱ \ngeqslant \ngeqslant ⊈ \nsubseteqq \nsubseteqq
∤ \nshortmid \nshortmid ≮ \nless ≮\nless ≯ \ngtr ≯\ngtr ⊉ \nsupseteqq \nsupseteqq
∦ \nshortparallel \nshortparallel ⊀ \nprec ⊀\nprec ⋡ \nsucceq ⋡\nsucceq ⊋ \supsetneq ⊋\supsetneq
≁ \nsim ≁\nsim ⋠ \npreceq ⋠\npreceq ⋡ \nsucceq ⋡\nsucceq ⊋ \supsetneq ⊋\supsetneq
⊯ \nVDash ⊯\nVDash ⋨ \precnsim ⋨\precnsim ⋩ \succnsim ⋩\succnsim ⫋ \subsetneqq ⫋\subsetneqq
⊭ \nvDash ⊭\nvDash ⋨ \precnsim ⋨\precnsim ⋩ \succnsim ⋩\succnsim ⫌ \supsetneqq ⫌\supsetneqq
⊬ \nvdash ⊬\nvdash ⪉ \lnapprox ⪉\lnapprox ⪊ \gnapprox ⪊\gnapprox ⊊ \varsubsetneq \varsubsetneq
⋪ \ntriangleleft ⋪\ntriangleleft ⪇ \lneq ⪇\lneq ⪈ \gneq ⪈\gneq ⊋ \varsupsetneq \varsupsetneq
⋬ \ntrianglelefteq ⋬\ntrianglelefteq ≨ \lneqq ≨\lneqq ≩ \gneqq ≩\gneqq ⫋ \varsubsetneqq \varsubsetneqq
⋫ \ntriangleright ⋫\ntriangleright ⋦ \lnsim ⋦\lnsim ⋧ \gnsim ⋧\gnsim ⫌ \varsupsetneqq \varsupsetneqq
⋭ \ntrianglerighteq ⋭\ntrianglerighteq ≨ \lvertneqq \lvertneqq ≩ \gvertneqq \gvertneqq

8、箭头符号

符号表达式符号表达式符号表达式
← \leftarrow ←\leftarrow ⟵ \longleftarrow ⟵\longleftarrow ↑ \uparrow ↑\uparrow
⇐ \Leftarrow ⇐\Leftarrow ⟸ \Longleftarrow ⟸\Longleftarrow ⇑ \Uparrow ⇑\Uparrow
→ \rightarrow →\rightarrow ⟶ \longrightarrow ⟶\longrightarrow ↓ \downarrow ↓\downarrow
⇒ \Rightarrow ⇒\Rightarrow ⟹ \Longrightarrow ⟹\Longrightarrow ⇓ \Downarrow ⇓\Downarrow
↔ \leftrightarrow ↔\leftrightarrow ⟷ \longleftrightarrow ⟷\longleftrightarrow ↕ \updownarrow ↕\updownarrow
⇔ \Leftrightarrow ⇔\Leftrightarrow ⟺ \Longleftrightarrow ⟺\Longleftrightarrow ⇕ \Updownarrow ⇕\Updownarrow
↦ \mapsto ↦\mapsto ⟼ \longmapsto ⟼\longmapsto ↗ \nearrow ↗\nearrow
↩ \hookleftarrow ↩\hookleftarrow ↪ \hookrightarrow ↪\hookrightarrow ↘ \searrow ↘\searrow
↼ \leftharpoonup ↼\leftharpoonup ⇀ \rightharpoonup ⇀\rightharpoonup ↙ \swarrow ↙\swarrow
↽ \leftharpoondown ↽\leftharpoondown ⇁ \rightharpoondown ⇁\rightharpoondown ↖ \nwarrow ↖\nwarrow
⇌ \rightleftharpoons ⇌\rightleftharpoons ⇝ \leadsto ⇝\leadsto
⇢ \dashrightarrow ⇢\dashrightarrow ⇠ \dashleftarrow ⇠\dashleftarrow ⇇ \leftleftarrows ⇇\leftleftarrows
⇆ \leftrightarrows ⇆\leftrightarrows ⇚ \Lleftarrow ⇚\Lleftarrow ↞ \twoheadleftarrow ↞\twoheadleftarrow
↢ \leftarrowtail ↢\leftarrowtail ↫ \looparrowleft ↫\looparrowleft ⇋ \leftrightharpoons ⇋\leftrightharpoons
↶ \curvearrowleft ↶\curvearrowleft ↺ \circlearrowleft ↺\circlearrowleft ↰ \Lsh ↰\Lsh
⇈ \upuparrows ⇈\upuparrows ↿ \upharpoonleft ↿\upharpoonleft ⇃ \downharpoonleft ⇃\downharpoonleft
⊸ \multimap ⊸\multimap ↭ \leftrightsquigarrow ↭\leftrightsquigarrow ⇉ \rightrightarrows ⇉\rightrightarrows
⇄ \rightleftarrows ⇄\rightleftarrows ⇉ \rightrightarrows ⇉\rightrightarrows ⇄ \rightleftarrows ⇄\rightleftarrows
↠ \twoheadrightarrow ↠\twoheadrightarrow ↣ \rightarrowtail ↣\rightarrowtail ↬ \looparrowright ↬\looparrowright
⇌ \rightleftharpoons ⇌\rightleftharpoons ↷ \curvearrowright ↷\curvearrowright ↻ \circlearrowright ↻\circlearrowright
↱ \Rsh ↱\Rsh ⇊ \downdownarrows ⇊\downdownarrows ↾ \upharpoonright ↾\upharpoonright
⇂ \downharpoonright ⇂\downharpoonright ⇝ \rightsquigarrow ⇝\rightsquigarrow
↚ \nleftarrow ↚\nleftarrow ↛ \nrightarrow ↛\nrightarrow ⇍ \nLeftarrow ⇍\nLeftarrow
⇏ \nRightarrow ⇏\nRightarrow ↮ \nleftrightarrow ↮\nleftrightarrow ⇎ \nLeftrightarrow ⇎\nLeftrightarrow

9、杂项符号

符号表达式符号表达式符号表达式符号表达式
∞ \infty ∞\infty ∀ \forall ∀\forall k \Bbbk k\Bbbk ℘ \wp ℘\wp
∇ \nabla ∇\nabla ∃ \exists ∃\exists ★ \bigstar ★\bigstar ∠ \angle ∠\angle
∂ \partial ∂\partial ∄ \nexists ∄\nexists ╲ \diagdown ╲\diagdown ∡ \measuredangle ∡\measuredangle
ð \eth ð\eth ∅ \emptyset ∅\emptyset ╱ \diagup ╱\diagup ∢ \sphericalangle ∢\sphericalangle
♣ \clubsuit ♣\clubsuit ı \imath \imath Ⅎ \Finv Ⅎ\Finv ▽ \triangledown ▽\triangledown
♡ \heartsuit ♡\heartsuit ȷ \jmath \jmath ⅁ \Game ⅁\Game △ \triangle △\triangle
♠ \spadesuit ♠\spadesuit ℓ \ell ℓ\ell ℏ \hbar ℏ\hbar △ \vartriangle △\vartriangle
⋯ \cdots ⋯\cdots ♯ \sharp ♯\sharp ℏ \hslash ℏ\hslash ⧫ \blacklozenge ⧫\blacklozenge
⋮ \vdots ⋮\vdots ♭ \flat ♭\flat ◊ \lozenge ◊\lozenge ■ \blacksquare ■\blacksquare
… \ldots …\ldots ♮ \natural ♮\natural ℧ \mho ℧\mho ▲ \blacktriangle ▲\blacktriangle
⋱ \ddots ⋱\ddots ′ \prime ′\prime □ \square □\square ▼ \blacktriangledown ▼\blacktriangledown
ℑ \Im ℑ\Im ‵ \backprime ‵\backprime √ \surd √\surd Ⓢ \circledS Ⓢ\circledS
ℜ \Re ℜ\Re

10、数学模式重音

符号表达式符号表达式
a ˊ \acute{a} aˊ\acute{a} A ˊ ˊ \acute{\acute{A}} Aˊˊ\acute{\acute{A}}
a ˘ \breve{a} a˘\breve{a} A ˘ ˘ \breve{\breve{A}} A˘˘\breve{\breve{A}}
a ¨ \ddot{a} a¨\ddot{a} A ¨ ¨ \ddot{\ddot{A}} A¨¨\ddot{\ddot{A}}
a ˋ \grave{a} aˋ\grave{a} A ˋ ˋ \grave{\grave{A}} Aˋˋ\grave{\grave{A}}
a ~ \tilde{a} a~\tilde{a} A ~ ~ \tilde{\tilde{A}} A~~\tilde{\tilde{A}}
a ˉ \bar{a} aˉ\bar{a} A ˉ ˉ \bar{\bar{A}} Aˉˉ\bar{\bar{A}}
a ˇ \check{a} aˇ\check{a} A ˇ ˇ \check{\check{A}} Aˇˇ\check{\check{A}}
a ˙ \dot{a} a˙\dot{a} A ˙ ˙ \dot{\dot{A}} A˙˙\dot{\dot{A}}
a ^ \hat{a} a^\hat{a} A ^ ^ \hat{\hat{A}} A^^\hat{\hat{A}}

11、数学样式

样式名称显示样式代码
Caligraphic letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z \mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ} ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathcal{}
Mathbb letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z \mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ} ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathbb{}
Mathfrak letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z \mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ} ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathfrak{}
Math Sans serif letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z \mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ} ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathsf{}
Math bold letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z \mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ} ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathbf{}

12、数组及分段函数

统一的都是 \begin{}…\end{} 形式,其中用到一些符号

符号作用
&隔开
\\另起一行
\quad宽空格符号

比如

\begin{array}{l} a & b & c \\e & f & g \\end{array}

显示如下
a b c e f g \begin{array}{l} a & b & c \\ e & f & g \\ \end{array} ae​bf​cg​

12.1 常用数组

显示代码(省略里面的内容)
a b e f \begin{matrix}a & b \\ e & f \end{matrix} ae​bf​\begin{matrix}\end{matrix}
( a b e f ) \begin{pmatrix}a & b \\ e & f \end{pmatrix} (ae​bf​)\begin{pmatrix}\end{pmatrix}
[ a b e f ] \begin{bmatrix}a & b \\ e & f \end{bmatrix} [ae​bf​]\begin{bmatrix}\end{bmatrix}
∣ a b e f ∣ \begin{vmatrix}a & b \\ e & f \end{vmatrix} ​ae​bf​ ​\begin{vmatrix}\end{vmatrix}
∥ a b e f ∥ \begin{Vmatrix}a & b \\ e & f \end{Vmatrix} ​ae​bf​ ​\begin{Vmatrix}\end{Vmatrix}

12.2 常用分段函数形式

显示代码(省略里面的内容)
{ 1 = 1 2 = 2 \left\{\begin{matrix}1=1 \\ 2=2 \end{matrix}\right. {1=12=2​\left\{\begin{matrix}\end{matrix}\right.
1 = 1 2 = 2 } \left.\begin{matrix}1=1 \\ 2=2 \end{matrix}\right\} 1=12=2​}\left.\begin{matrix}\end{matrix}\right\}
{ 1 = 1 2 = 2 \begin{cases}1=1 \\ 2=2 \end{cases} {1=12=2​\begin{cases}\end{cases}
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