文档介绍：Mathematica Quick Reference
Run Mathematica
mathematica (evoke Mathematica frontend) Quit[ ] or Exit[ ] (exit Mathematica)
Arithmetic
+, -, * (or a space ), /, ^ (power), . a*x^2 + 2 x - 3/5 (ax2 + 2x 3/5) n^^digits base n number
−
Mathematical Functions
x
Sqrt[x] (√x) Exp[x] or E^x (e ) Log[x] (ln x) Log[b, x] (logbx)
1
Sin[x] (sin x) Cos[x] (cos x) Tan[x] (tan x) ArcSin[x] (sin− x)
1 1
os[x] (cos− x) ArcTan[x] (tan− x) Sinh[x] (sinh x) Cosh[x] (cosh x)
1
Tanh[x] (tanh x) ArcSinh[x] (sinh− x) n! (factorial) Abs[x] ( x )
| n|
Mod[n, m] (n mod m) Max[x, y, . . .] (max) Min[x, y, . . .] (min) Binomial[n, m] (Cm)
Re[z] (real part) Im[z] (imaginery part) Conjugate[z] (¯z) Arg[z] (argument)
a
LegendreP[n,x] (Pn(x)) HermiteH[n,x] (Hn(x)) LaguerreL[n,a,x] (Ln(x)) BesselJ[n, z] (Jn(z))
2 x t2
Erf[x] ( √π R0 e− dt) Gamma[z] (Euler Γ(z)) Zeta[s] (Riemann ζ(s)) Random[] (number)
Mathematical Constants
Pi (π ) E (e ) I (i = √ 1) Infinity ( )
≈≈−∞
Data Objects
123 (integer) 3/7 (rational) (real) 2 + 8I (complex) "text" (string)
{a, b, . . . } (list with elements a, b, . . .) h[a, b, . . .] (expression/w head h, elements a, b, . . .)
expr[[i]] (i-th element of the expression expr) a[i] (indexed object)
Arbitrary-Precision Calculation
expr//N or N[expr] (numerical value of expr) N[expr, n] (value of expr with n-digit pr