A trust region method has a region around the current search point, where the quadratic model for "local minimization" is "trusted" to be correct and steps are chosen to stay ...

GeometricTransformation[g, tfun] represents the result of applying the transformation function tfun to the geometric objects corresponding to the primitives ...

TransformationFunction[data] represents a transformation function that applies geometric and other transformations.

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

There are often many different ways to write the same algebraic expression. As one example, the expression (1+x)^2 can be written as 1+2x+x^2. Mathematica provides a large ...

Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions, and sequences, in ...

PackingMethod is an option for GraphPlot and related functions which specifies how disconnected components should be packed together in the layout produced.

Applying transformation rules. The replacement operator /. (pronounced "slash-dot") applies rules to expressions. You can give a list of rules to apply. Each rule will be ...

You can manipulate lists of transformation rules in Mathematica just like other symbolic expressions. It is common to assign a name to a rule or set of rules. This assigns ...