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Please see The
Integrator FAQs in addition to these instructions
for more information.
Example: Type Sqrt[Sin[x]] for the
square root of the sine of x.
- Names of functions start with capital letters.
- Arguments of functions are put inside square brackets.
- Multiplication is indicated by a space.
Note: Links in the first
column will take you to more information about a
particular function in the online Mathematica
Documentation Center. Links in the second column will
take you to more information about the function in Eric Weisstein's
World of Mathematics.
Basic Arithmetic
Operations
Mathematical Constants
Trigonometric and
Exponential Functions
Sin[x],
Cos[x],
Tan[x],
Csc[x],
Sec[x],
Cot[x]
|
trigonometric
functions
(with arguments in radians) |
ArcSin[x],
ArcCos[x],
ArcTan[x],
ArcCsc[x],
ArcSec[x],
ArcCot[x]
|
inverse
trigonometric functions
(giving results in
radians)
|
| Exp[x]
or E^x |
exponential
function |
| b^x |
b
to the power x |
| Log[x] |
logarithm
of x to the base
e |
| Log[b,
x] |
logarithm
of x to the base
b |
Sinh[x],
Cosh[x],
Tanh[x],
Csch[x],
Sech[x],
Coth[x]
|
hyperbolic
functions |
ArcSinh[x],
ArcCosh[x],
ArcTanh[x],
ArcCsch[x],
ArcSech[x],
ArcCoth[x]
|
inverse
hyperbolic functions |
Higher Mathematical
Functions
Mathematica includes over five hundred higher
mathematical functions, including almost all the functions
of mathematical physics.
- Names of functions are usually complete English words.
- Mathematical functions that are usually referred to by
a person's name have names in Mathematica of the
form PersonSymbol. For example, the Legendre
polynomials are denoted by LegendreP[n,
x].
- If the standard notation for a mathematical function
involves both subscripts and superscripts, the subscript
is given before the superscript in the Mathematica
form. For example, the associated Legendre polynomials are
denoted as LegendreP[n, m,
x].
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