数值函数
| 符号 | latex |
|---|---|
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exp a b = a b \exp_a b = a^b exp a b = a b |
\exp_a b = a^b |
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exp b = e b \exp b = e^b exp b = e b |
\exp b = e^b |
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1 0 m 10^m 1 0 m |
10^m |
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ln c \ln c ln c |
\ln c |
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lg d = log e \lg d = \log e l g d = lo g e |
\lg d = \log e |
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log 10 f \log_{10} f lo g 10 f |
\log_{10} f |
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sin a \sin a sin a |
\sin a |
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cos b \cos b cos b |
\cos b |
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tan c \tan c tan c |
\tan c |
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cot d \cot d cot d |
\cot d |
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sec e \sec e sec e |
\sec e |
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csc f \csc f csc f |
\csc f |
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arcsin a \arcsin a arcsin a |
\arcsin a |
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arccos b \arccos b arccos b |
\arccos b |
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arctan c \arctan c arctan c |
\arctan c |
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arccot d \operatorname{arccot} d arccot d |
\operatorname{arccot} d |
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arcsec d \operatorname{arcsec} d arcsec d |
\operatorname{arcsec} d |
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arccsc d \operatorname{arccsc} d arccsc d |
\operatorname{arccsc} d |
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sinh a \sinh a sinh a |
\sinh a |
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cosh a \cosh a cosh a |
\cosh a |
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tanh a \tanh a tanh a |
\tanh a |
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coth a \coth a coth a |
\coth a |
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sh d \operatorname{sh} d sh d |
\operatorname{sh} d |
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ch d \operatorname{ch} d ch d |
\operatorname{ch} d |
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th d \operatorname{th} d th d |
\operatorname{th} d |
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coth d \operatorname{coth} d coth d |
\operatorname{coth} d |
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argsh d \operatorname{argsh} d argsh d |
\operatorname{argsh} d |
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argch d \operatorname{argch} d argch d |
\operatorname{argch} d |
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argth d \operatorname{argth} d argth d |
\operatorname{argth} d |
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sgn d \operatorname{sgn} d sgn d |
\operatorname{sgn} d |
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∣ s ∣ \left\vert s \right\vert ∣ s ∣ |
\left\vert s \right\vert |
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min ( x , y ) \min(x,y) min ( x , y ) |
\min(x,y) |
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max ( x , y ) \max(x,y) max ( x , y ) |
\max(x,y) |
根式
| 符号 | latex |
|---|---|
|
√ \surd √ |
\surd |
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3 \sqrt{3} 3 |
\sqrt{3} |
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3 n \sqrt[n]{3} n 3 |
\sqrt[n]{3} |
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x 3 + y 3 2 3 \sqrt[3]{\frac{x^3+y^3}{2}} 3 2 x 3 + y 3 |
\sqrt[3]{\frac{x^3+y^3}{2}} |
微分与导数
| 符号 | latex |
|---|---|
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d t dt d t |
dt |
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d t \mathrm{d}t d t |
\mathrm{d}t |
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∂ t \partial t ∂ t |
\partial t |
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∇ ψ \nabla\psi ∇ ψ |
\nabla\psi |
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d y / d x , d y / d x dy/dx, \mathrm{d}y/\mathrm{d}x d y / d x , d y / d x |
dy/dx, \mathrm{d}y/\mathrm{d}x |
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d y d x , d y d x \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x} d x d y , d x d y |
\frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x} |
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∂ 2 ∂ x 1 ∂ x 2 y \frac{\partial^2}{\partial x_1\partial x_2}y ∂ x 1 ∂ x 2 ∂ 2 y |
\frac{\partial^2}{\partial x_1\partial x_2}y |
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′ , ‵ \prime, \backprime ′ , ‵ |
\prime, \backprime |
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f ′ , f ′ , f ′ ′ , f ( 3 ) f^\prime, f’, f”, f^{(3)} f ′ , f ′ , f ′′ , f ( 3 ) |
f^\prime, f’, f’’, f^{(3)} |
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y ˙ , y ¨ \dot y, \ddot y y ˙ , y ¨ |
\dot y, \ddot y |
模运算
| 符号 | latex |
|---|---|
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s k ≡ 0 ( m o d m ) s_k \equiv 0 \pmod{m} s k ≡ 0 ( mod m ) |
s_k \equiv 0 \pmod{m} |
|
a m o d
b a \bmod b a mod b |
a \bmod b |
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gcd ( m , n ) \gcd(m, n) g cd ( m , n ) |
\gcd(m, n) |
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lcm ( m , n ) \operatorname{lcm}(m, n) lcm ( m , n ) |
\operatorname{lcm}(m, n) |
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∣ , ∤ , ∣ , ∤ \mid, \nmid, \shortmid, \nshortmid ∣ , ∤ , ∣ , |
\mid, \nmid, \shortmid, \nshortmid |
极限
| 符号 | latex |
|---|---|
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lim n → ∞ x n \lim_{n \to \infty}x_n lim n → ∞ x n |
\lim_{n \to \infty}x_n |
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lim n → ∞ x n \textstyle \lim_{n \to \infty}x_n lim n → ∞ x n |
\textstyle \lim_{n \to \infty}x_n |
范围与预测
| 符号 | latex |
|---|---|
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min x , max y , inf s , sup t \min x, \max y, \inf s, \sup t min x , max y , in f s , sup t |
\min x, \max y, \inf s, \sup t |
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lim u , lim inf v , lim sup w \lim u, \liminf v, \limsup w lim u , lim inf v , lim sup w |
\lim u, \liminf v, \limsup w |
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dim p , deg q , det m , ker ϕ \dim p, \deg q, \det m, \ker\phi dim p , de g q , det m , ker ϕ |
\dim p, \deg q, \det m, \ker\phi |
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Pr j , hom l , ∥ z ∥ , arg z \Pr j, \hom l, \lVert z \rVert, \arg z Pr j , hom l , ∥ z ∥ , ar g z |
\Pr j, \hom l, \lVert z \rVert, \arg z |