Principal Axis Method (Mathematica Tutorial)

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

The Secant Method (Mathematica Tutorial)

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

Creating Reusable Definitions (GUIKit Package Tutorial)

The GUIKit framework makes it relatively easy to reuse interface definitions because of its automatic use of private symbol contexts for each instance of a definition. There ...

GUIKit Example: PrimeFinder (GUIKit Package Tutorial)

This example displays a dialog for finding prime numbers and alerting the user when any entered expression evaluates to a prime number. The modal version also shows how ...

PoincareSection (Equation Trekker Package Symbol)

PoincareSection is a setting for the option TrekGenerator that specifies that the Poincaré section for differential equations is used to generate treks.

LinkRankMatrix (Graph Utilities Package Symbol)

LinkRankMatrix[g] returns the link rank of the graph g, in the form of a sparse matrix. The link rank of an edge u -> v is defined as the PageRanks of u, divided by the ...

NeighborhoodVertices (Graph Utilities Package Symbol)

NeighborhoodVertices[g, i, r] gives vertices that can be reached from vertex i within r hops.NeighborhoodVertices[g, i] gives vertices that can be reached from vertex i.

PageRankVector (Graph Utilities Package Symbol)

PageRankVector[g] returns the page rank of the graph g.

VertexList (Graph Utilities Package Symbol)

VertexList[g] gives a list of all vertices in the graph g.

WeakComponents (Graph Utilities Package Symbol)

WeakComponents[g] gives a list of all weakly connected components in the undirected graph g.