Version 6.0 continued Mathematica's commitment to delivering the latest and most efficient algorithms for linear algebra, generalized to arbitrary precision and with full ...

As with integers, operations related to division are key to many computations with polynomials. Mathematica includes not only highly optimized univariate polynomial-division ...

Mathematica's unified symbolic architecture immediately allows it to perform structural transformations not only on objects like lists, but also on general symbolic ...

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

EulerEquations[f, u[x ], x] returns the Euler\[Dash]Lagrange differential equation obeyed by u[x] derived from the functional f, where f depends on the function u[x] and its ...

Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...

SplineClosed is an option for B-spline functions and graphics primitives that specifies whether spline curves or surfaces should be closed.

JacobiP[n, a, b, x] gives the Jacobi polynomial P_n^(a, b)(x).

SpokenString[expr] gives a string of text corresponding to a spoken representation of the expression expr.