MatchQ (Built-in Mathematica Symbol)

MatchQ[expr, form] returns True if the pattern form matches expr, and returns False otherwise.

TrigReduce (Built-in Mathematica Symbol)

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.

FiniteAbelianGroupCount (Built-in Mathematica Symbol)

FiniteAbelianGroupCount[n] gives the number of finite Abelian groups of order n.

Implies (Built-in Mathematica Symbol)

Implies[p, q] represents the logical implication p \[DoubleRightArrow] q.

NonCommutativeMultiply (Built-in Mathematica Symbol)

a ** b ** c is a general associative, but non-commutative, form of multiplication.

PartitionsQ (Built-in Mathematica Symbol)

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

QHypergeometricPFQ (Built-in Mathematica Symbol)

QHypergeometricPFQ[{a_1, ..., a_r}, {b_1, ..., b_s}, q, z] gives the basic hypergeometric series \[Null]_r \[Phi]_s (a; b; q; z).

Rescale (Built-in Mathematica Symbol)

Rescale[x, {min, max}] gives x rescaled to run from 0 to 1 over the range min to max. Rescale[x, {min, max}, {x_min, x_max}] gives x rescaled to run from x_min to x_max over ...

TrigExpand (Built-in Mathematica Symbol)

TrigExpand[expr] expands out trigonometric functions in expr.

Nonlinear Systems of ODEs (Mathematica Tutorial)

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...