InterpolatingPolynomial[{f_1, f_2, ...}, x] constructs an interpolating polynomial in x which reproduces the function values f_i at successive integer values 1, 2, ... of x. ...

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

CreatePalette[expr] creates a palette notebook containing expr, and opens it in the front end.CreatePalette[{expr_1, expr_2, ...}] creates and opens a palette notebook ...

DocumentNotebook[{cell_1, cell_2, ...}] represents a complete document notebook in the Mathematica front end.

Widgets created within a user interface definition can be named and registered in an object registry for easy lookup reference by script code and other widgets. Complete ...

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

Looping is a core concept in programming. Mathematica provides powerful primitives for specifying and controlling looping, not only in traditional procedural programming, but ...