The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

SectorChart3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a 3D sector chart with sector angle proportional to x_i, radius y_i, and height z_i.SectorChart3D[{..., w_i[{x_i, ...

ExternalDataCharacterEncoding is a global option that specifies the character encoding used in reading and writing plain text data outside of Mathematica.

PolynomialReduce[poly, {poly_1, poly_2, ...}, {x_1, x_2, ...}] yields a list representing a reduction of poly in terms of the poly_i. The list has the form {{a_1, a_2, ...}, ...

TreeForm[expr] displays expr as a tree with different levels at different depths. TreeForm[expr, n] displays expr as a tree only down to level n.

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

CreateLibrary[src, name, "Compiler" -> NVCCCompiler] compiles a string of CUDA code in src into a library and returns the full path to the library.CreateLibrary [{ file, ...

Lighting is an option for Graphics3D and related functions that specifies what simulated lighting to use in coloring 3D surfaces.

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...