With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. ...

Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...

Built on powerful and elegant principles, the core Mathematica language has emerged over the past 20 years as perhaps the world's richest and deepest programming language. ...

Total differentiation operations. When you find the derivative of some expression f with respect to x, you are effectively finding out how fast f changes as you vary x. Often ...

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Mathematica is built to handle arbitrarily large computations—limited only by computer time and memory—and provides a collection of convenient global safety features to ...

Parallelization is an option for Compile that specifies whether it should create a compiled function that could run in parallel.

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

BesselJ[n, z] gives the Bessel function of the first kind J_n (z).

int MLSetSignalHandlerFromFunction (MLENV ep, int s, void *sf) installs the Unix signal handler pointed to by sf for signal s in the MathLink library signal-handling ...