DSolve can find solutions for most of the standard linear second-order ODEs that occur in applied mathematics. Here is the solution for Airy's equation. Here is a plot that ...

Any Mathematica symbol can have both a variety of types of values, and a variety of independently settable attributes that define overall aspects of its behavior.

A very common batch processing task is to reduce the dimensions of a set of images in one or more system folders, in effect constructing thumbnail images. Mathematica 's file ...

Content in a Mathematica notebook is organized in cells. Each cell has a cell bracket that appears along the right edge of the notebook window. Markings on a cell bracket ...

TransferFunctionModel[m, var] represents the model of the transfer-function matrix m with complex variable var.TransferFunctionModel[{num, den}, var] specifies the numerator ...

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

Mathematica provides powerful functions for constructing lists of any size and structure.

Scan[f, expr] evaluates f applied to each element of expr in turn. Scan[f, expr, levelspec] applies f to parts of expr specified by levelspec.

Cyclotomic[n, x] gives the n\[Null]^th cyclotomic polynomial in x.

QPochhammer[a, q, n] gives the q-Pochhammer symbol (a; q) n.QPochhammer[a, q] gives the q-Pochhammer symbol (a; q) \[Infinity].QPochhammer[q] gives the q-Pochhammer symbol ...