Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

PolynomialQ[expr, var] yields True if expr is a polynomial in var, and yields False otherwise. PolynomialQ[expr, {var_1, ...}] tests whether expr is a polynomial in the var_i.

StruveL[n, z] gives the modified Struve function L n (z).

As the world's best-developed tree-oriented symbolic language, Mathematica is uniquely suited to working with XML. Not only can Mathematica generate XML from scratch, it can ...

In doing many kinds of calculations, you need to evaluate expressions when variables take on particular values. In many cases, you can do this simply by applying ...

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

You will find the Documentation Center, Function Navigator, and Virtual Book essential in learning Mathematica's vast programming language and functionality.

AlgebraicNumberPolynomial[a, x] gives the polynomial in x corresponding to the AlgebraicNumber object a.

Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...

Mathematica incorporates the latest highly efficient algorithms to allow operations on strings with millions of elements, all making use of Mathematica's unique symbolic ...