Prime[n] gives the n\[Null]^th prime number.

PrimeQ[expr] yields True if expr is a prime number, and yields False otherwise.

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

ToeplitzMatrix[n] gives the n*n Toeplitz matrix with first row and first column being successive integers.ToeplitzMatrix[{c_1, c_2, ..., c_n}] gives the Toeplitz matrix whose ...

Bringing together Mathematica's powerful capabilities in numerics, algebraic computation and now also geometric computation, Version 6.0 took the state of the art for ...

SparseArray[{pos_1 -> val_1, pos_2 -> val_2, ...}] yields a sparse array in which values val_i appear at positions pos_i. SparseArray[{pos_1, pos_2, ...} -> {val_1, val_2, ...

Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal ...

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

PrimePowerQ[expr] yields True if expr is a power of a prime number, and yields False otherwise.

InterpolatingPolynomial[{f_1, f_2, ...}, x] constructs an interpolating polynomial in x which reproduces the function values f_i at successive integer values 1, 2, ... of x. ...