Mathematica usually pays no attention to whether variables like x stand for real or complex numbers. Sometimes, however, you may want to make transformations which are ...

If you use a text-based interface to Mathematica, then the input you give must consist only of characters that you can type directly on your computer keyboard. But if you use ...

DIMACS graph data format. Commonly used exchange format for graphs. Stores a single undirected graph. Plain text or binary format. DIMACS is an acronym derived from Discrete ...

DirectedInfinity[] represents an infinite numerical quantity whose direction in the complex plane is unknown. DirectedInfinity[z] represents an infinite numerical quantity ...

TeXForm[expr] prints as a TeX version of expr.

The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

Differences[list] gives the successive differences of elements in list. Differences[list, n] gives the n\[Null]^th differences of list. Differences[list, {n_1, n_2, ...}] ...

Erfc[z] gives the complementary error function erfc(z).