When you install a MathLink-compatible external program using Install, the program is set up to behave somewhat like a simplified Mathematica kernel. Every time you call a ...

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

Mathematica provides broad and deep built-in support for both programmatic and interactive modern industrial-strength image processing —fully integrated with Mathematica's ...

Decompose[poly, x] decomposes a polynomial, if possible, into a composition of simpler polynomials.

Level[expr, levelspec] gives a list of all subexpressions of expr on levels specified by levelspec. Level[expr, levelspec, f] applies f to the sequence of subexpressions.

The GUIKit framework makes it relatively easy to reuse interface definitions because of its automatic use of private symbol contexts for each instance of a definition. There ...

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

SetSharedVariable[s_1, s_2, ...] declares the symbols s_i as shared variables whose values are synchronized among all parallel kernels.

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...