HilbertMatrix[n] gives the n*n Hilbert matrix with elements of the form 1/(i + j - 1).HilbertMatrix[{m, n}] gives the m*n Hilbert matrix.

By far the largest release since Version 1.0 in 1988, Version 6.0 added a remarkable breadth of new functionality. As well as introducing several major new fundamental ...

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

GatherBy[list, f] gathers into sublists each set of elements in list that gives the same value when f is applied.GatherBy[list, {f_1, f_2, ...}] gathers list into nested ...

SortBy[list, f] sorts the elements of list in the order defined by applying f to each of them.

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...