New in 7.0: Systems Interfaces & ... (Mathematica Guide)

Version 7.0 introduces built-in zero-configuration parallel computing. Taking full advantage of Mathematica's unique symbolic architecture, Version 7.0 provides an ...

AiryBi (Built-in Mathematica Symbol)

AiryBi[z] gives the Airy function Bi(z).

ChebyshevU (Built-in Mathematica Symbol)

ChebyshevU[n, x] gives the Chebyshev polynomial of the second kind U_n (x).

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Wronskian (Built-in Mathematica Symbol)

Wronskian[{y_1, y_2, ...}, x] gives the Wronskian determinant for the functions y_1, y_2, ... depending on x.Wronskian[eqn, y, x] gives the Wronskian determinant for the ...

FindLibrary (Built-in Mathematica Symbol)

FindLibrary[lib] finds a dynamic library that can be loaded by LibraryFunctionLoad.

Scan (Built-in Mathematica Symbol)

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.

$LibraryPath (Built-in Mathematica Symbol)

$LibraryPath gives the default list of directories to search in attempting to find a library.

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

Compiling Mathematica Expressions (Mathematica Tutorial)

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 ...