GaussianQuadratureWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Gaussian formula for quadrature on the interval a to b, where w_i is the ...

FirstIntegral[u] represents a first integral associated with the variable u in the output of the function FirstIntegrals.

Mathematica allows you to treat abstract 3D graphics using familiar physical metaphors. It provides not only real-time 3D manipulation, but also detailed programmatic control ...

Mathematica's symbolic architecture makes it possible to treat images just like any other form of expression—applying functions to them, displaying and inputting them in ...

From overall layout to details of particular features, Mathematica allows broad manual and programmatic control of the appearance of charts —fully integrated with its ...

Building on Mathematica's integrated symbolic architecture, it becomes easy to introduce powerful dynamic behavior into any aspect of visualization. Single Mathematica ...

Built into Mathematica is the world's largest collection of both numerical and symbolic equation solving capabilities—with many original algorithms, all automatically ...

Tightly integrated into Mathematica's core language is a rich set of primitives for interacting with external environments. Mathematica's symbolic architecture makes possible ...

Mathematica has fully integrated support for many of the tools used in classical and modern finance. These capabilities include financial instrument valuation, advanced time ...

Mathematica can immediately export graphics and animations to online, print, and web formats, preserving dynamic annotation when possible. Mathematica also has powerful ...