PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

RowReduce[m] gives the row-reduced form of the matrix m.

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

GaussianIntegers is an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers.

MantissaExponent[x] gives a list containing the mantissa and exponent of a number x. MantissaExponent[x, b] gives the base-b mantissa and exponent of x.

WaveletScale is an option for ContinuousWaveletTransform and related constructs used to specify the smallest resolvable scale.

Representations of real intervals. This represents all numbers between -2 and +5. The square of any number between -2 and +5 is always between 0 and 25.

Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.

Depth[expr] gives the maximum number of indices needed to specify any part of expr, plus 1.

When you do symbolic calculations, it is quite easy to end up with extremely complicated expressions. Often, you will not even want to see the complete result of a ...