Mathematica 's rich syntax uses different kinds of brackets and braces; familiarity with these aspects lets you read and program efficiently in Mathematica .

EllipticThetaPrime[a, u, q] gives the derivative with respect to u of the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).

Im[z] gives the imaginary part of the complex number z.

Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

Ordinary mathematical functions in Mathematica are always "listable", so that they are immediately applied in parallel across lists. Mathematica provides a wide variety of ...

LinkPatterns[link] gives a list of the patterns for which definitions were set up when the external program associated with the specified MathLink connection was installed.

Normal[expr] converts expr to a normal expression, from a variety of special forms.

IntegerLength[n] gives the number of digits in the base 10 representation of the integer n.IntegerLength[n, b] gives the number of digits in the base b representation of n.