说明
配置
希腊字母
| 符号 |
输入 |
| (\alpha) |
alpha |
| (\operatorname{B}) |
beta |
| (\Gamma) |
gamma |
| (\delta) |
delta |
| (\epsilon) |
epsilon |
| (\zeta) |
zeta |
| (\theta) |
theta |
| (\iota) |
iota |
| (\kappa) |
kappa |
| (\mu) |
mu |
| (\nu) |
nu |
| (\omega) |
omega |
| (\phi) |
phi |
| (\pi) |
pi |
| (\psi) |
psi |
| (\rho) |
rho |
| (\sigma) |
sigma |
| (\tau) |
tau |
| (\upsilon) |
upsilon |
| (\chi) |
chi |
| (\omega) |
omega |
| (\sigma) |
sigma |
| (\operatorname{digamma}) |
digamma |
希伯来字母
| 符号 |
输入 |
| (\aleph) |
aleph |
| (\beth) |
beth |
| (\gimel) |
gimel |
| (\daleth) |
daleth |
二元关系符
| 符号 |
输入 |
| (a \geq b) |
a>=b |
| (a \leq b) |
a<=b |
| a=b |
a==b |
| (a \neq b) |
Ne(a,b) |
逻辑符号
| 符号 |
输入 |
| ({\neg \left(a \vee b\right)}) |
Nor(a,b) |
| ({\neg \left(a \wedge b\right)}) |
Nand(a,b) |
| (a \veebar b) |
Xor(a,b) |
| (a \wedge b) |
And(a,b) |
| (a \wedge b) |
a & b |
| (a \vee b) |
Or(a,b) |
| (a \vee b) |
Or(a,b) |
| ({\neg \left(a \wedge b\right)}) |
Not(And(a,b)) |
| (\neg x) |
Not(And(And(True, x))) |
| (\neg x) |
Not(And(Or(x,False))) |
| ({\neg \left(a \wedge b\right)}) |
~(a & b) |
箭头符号
| 符号 |
输入 |
| (a \Leftrightarrow b) |
Equivalent(a,b) |
| (a \Rightarrow b) |
Implies(a,b) |
分数
| 符号 |
输入 |
| (\frac{2 x}{4} = 0.5 x) |
2/4*x = 0.5*x |
| (\frac{2}{c + \frac{2}{d + \frac{2}{4}}} = a) |
2/(c+2/(d+2/4))=a |
数值函数
| 符号 |
输入 |
| (exp_{a}^{b} = a^{b}) |
exp_a^b = a^b |
| (e^{b} = e^{b}) |
exp(b)=e^b |
| (10^{m}) |
10^m |
| (\log{\left(c \right)}) |
ln(c) |
| (\operatorname{lg}{\left(d \right)} = \log{\left(e \right)}) |
lg(d)=log(e) |
| (\operatorname{log}_{10}{\left(f \right)}) |
log_10(f) |
| (\sin{\left(a \right)}) |
sin(a) |
| (\cos{\left(b \right)}) |
cos(b) |
| (\tan{\left(c \right)}) |
tan(c) |
| (\cot{\left(d \right)}) |
cot(d) |
| (\sec{\left(e \right)}) |
sec(e) |
| (\csc{\left(f \right)}) |
csc(f) |
| (\arcsin{\left(a \right)}) |
arcsin(a) |
| (\arccos{\left(b \right)}) |
arccos(b) |
| (\arctan{\left(c \right)}) |
arctan(c) |
| (\operatorname{arccot}{\left(d \right)}) |
arccot(d) |
| (\operatorname{arcsec}{\left(e \right)}) |
arcsec(e) |
| (\operatorname{arccsc}{\left(f \right)}) |
arccsc(f) |
| (\sinh{\left(a \right)}) |
sinh(a) |
| (\cosh{\left(b \right)}) |
cosh(b) |
| (\tanh{\left(c \right)}) |
tanh(c) |
| (\coth{\left(d \right)}) |
coth(d) |
| (\operatorname{sh}{\left(k \right)}) |
sh(k) |
| (\operatorname{ch}{\left(l \right)}) |
ch(l) |
| (\operatorname{th}{\left(m \right)}) |
th(m) |
| (\coth{\left(n \right)}) |
coth(n) |
| (\operatorname{argsh}{\left(o \right)}) |
argsh(o) |
| (\operatorname{argch}{\left(p \right)}) |
argch(p) |
| (\operatorname{argch}{\left(p \right)}) |
argch(p) |
| (\operatorname{argth}{\left(q \right)}) |
argth(q) |
| (\operatorname{sgn}{\left(r \right)}) |
sgn(r) |
| (\operatorname{vert}{\left(s \right)}) |
vert(s) |
根式
| 符号 |
输入 |
| (\pi^{\frac{1}{n}}) |
root(pi,n) |
| (\sqrt{\pi}) |
sqrt(pi) |
| (\sqrt[3]{\frac{x^{3} + y^{3}}{n}}) |
root((x^3+y^3)/n,3) |
极限
| 符号 |
输入 |
| (\lim_{n \to \infty} x_{n}) |
Limit(x_n,n,oo) |
| (\lim_{1 \to \infty} x^{2}) |
Limit(x^2,1,oo) |
| (\lim_{x \to \frac{\pi}{2}^+} \tan{\left(x \right)}) |
Limit(tan(x),x,pi/2) |
微分和导数
| 符号 |
输入 |
| (\frac{d^{3}}{d x^{3}} f{\left(x \right)}) |
diff(f(x),x,3) |
| (\frac{d}{d y} f{\left(y \right)}) |
diff(f(y),y) |
| (\frac{d^{2}}{d y^{2}} f{\left(y \right)}) |
diff(f(y),y,y) |
| (\frac{\partial^{2}}{\partial y\partial x} f{\left(x,y \right)}) |
diff(f(x,y),x,y) |
| (\frac{\partial^{3}}{\partial y\partial x^{2}} f{\left(x,y \right)}) |
diff(f(x,y),x,x,y) |
| (\frac{\partial^{3}}{\partial y^{2}\partial x} f{\left(x,y \right)}) |
diff(f(x,y),x,y,y) |
| (f{\left(x \right)} \frac{d}{d x} h{\left(x \right)} + h{\left(x \right)} \frac{d}{d x} f{\left(x \right)}) |
diff(f(x)*h(x)) |
| (- \frac{f{\left(x \right)} \frac{d}{d x} h{\left(x \right)}}{h^{2}{\left(x \right)}} + \frac{\frac{d}{d x} f{\left(x \right)}}{h{\left(x \right)}}) |
diff(f(x)/h(x)) |
积分
| 符号 |
输入 |
| (\int\limits_{1}^{3} f{\left(x \right)}\, dx) |
integrate(f(x),(x,1,3)) |
| (\int\limits_{1}^{3} f{\left(\frac{e^{3}}{x^{3}} \right)}\, dx) |
integrate(f(exp(3)/x^3),(x,1,3)) |
| (\int\limits_{1}^{\infty} f{\left(e^{x} \right)}\, dx) |
integrate(f(exp(x)), (x, 1, oo)) |
| (\int\limits_{D}^{\infty}\int\limits_{D}^{\infty} f{\left(x,y \right)}\, dx\, dy) |
integrate(f(x,y),(x,D,oo),(y,D,oo)) |
大型运算符
| 符号 |
输入 |
| (\sum_{x=a}^{b} f{\left(x \right)}) |
Sum(f(x),(x,a,b)) |
| (\sum_{k=0}^{\infty} x^{k}) |
Sum(x**k,(k,0,oo)) |
| (\prod_{x=a}^{b} f{\left(x \right)}) |
Product(f(x),(x,a,b)) |
| (\prod_{x=b + 1}^{a - 1} 1 \cdot \frac{1}{x}) |
Product(1/x, (x, b+1, a-1)) |
| (\prod_{i=1}^{a} x_{i}) |
Product(x_i, (i, 1, a)) |
| (\prod_{k=1}^{n} k!) |
product(i, (i, 1, k), (k, 1, n)) |
| ({\Gamma\left(z\right) = \int\limits_{0}^{\infty} f{\left(e^{- t} t^{z - 1} \right)}\, dt}) |
gamma(z) = integrate(f(t^(z-1)*e^(-t)), (t, 0, oo)) |
上下标
| 符号 |
输入 |
(a^{2}) |
a^2 |
(a^{x + 3}) |
a^(x+3) |
(a_{2}) |
a_2 |
(x_{2}^{3}) |
x_2^3 |
(10^{10^{8}}) |
10^10^8 |
(\Omega_{3}^{4}) |
Omega_3^4 |
(\sum_{x=1}^{a} x^{2}) |
Sum(x^2,(x,1,a)) |
(\frac{\sum_{x=1}^{a} x^{2}}{a}) |
Sum(x^2,(x,1,a))/a |
二项式系数
| 符号 |
输入 |
({\binom{n}{k}}) |
binomial(n,k) |
矩阵
| 符号 |
输入 |
\begin{matrix}1 & 2\\3 & 4\end{matrix} |
[[1,2],[3,4]] |
条件定义
| 符号 |
输入 |
\begin{cases} 0 & \text{for}\: x < -1 \\x^{2} & \text{for}\: x \leq 1 \\\log{\left(x \right)} & \text{otherwise} \end{cases} |
Piecewise((0, x < -1), (x^2, x <= 1), (log(x), True)) |