RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

RotationTransform[\[Theta]] gives a TransformationFunction that represents a rotation in 2D by \[Theta] radians about the origin.RotationTransform[\[Theta], p] gives a 2D ...

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.

WaveletImagePlot[dwd] plots the basis tree of wavelet image coefficients in the DiscreteWaveletData dwd.WaveletImagePlot[dwd, r] plots coefficients up to refinement level ...

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 ...

Mathematica provides permutation representations for many important finite groups. Some of these groups are members of infinite families, parametrized by one or more ...

The precise details of the naming of files differ from one computer system to another. Nevertheless, Mathematica provides some fairly general mechanisms that work on all ...

Mathematica provides a large number of options for cells. All of these options can be accessed through the Option Inspector menu item in the front end. They can be set either ...

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...

Patterns stand for classes of expressions. They contain pattern objects that represent sets of possible expressions. Pattern objects. When several pattern objects with the ...