| 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) |
| 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)) |
| 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)) |
| 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)) |
| 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)) |