Termination Conditions (Mathematica Tutorial)

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 ...

Parallel Evaluation (Parallel Package Tutorial)

Recall that connections to remote kernels, as opened by LaunchKernels, are represented as kernel objects. See the chapter Connection Methods for details. The commands in this ...

Variational Methods (Variational Methods Package Tutorial)

The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F=∫_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], ...

ButterflyGraph (Built-in Mathematica Symbol)

ButterflyGraph[n] gives the order-n butterfly graph. ButterflyGraph[n, b] gives the base-b order-n butterfly graph.

CycleGraph (Built-in Mathematica Symbol)

CycleGraph[n] gives the cycle graph with n vertices C_n.

HypercubeGraph (Built-in Mathematica Symbol)

HypercubeGraph[n] gives the n-dimensional hypercube graph Q_n.

General Graph Drawing (Mathematica Tutorial)

GraphPlot and GraphPlot3D calculate and plot a visually appealing 2D/3D layout of a graph. The functions are designed to work with very large graphs and handle both connected ...

Concurrency: Managing Parallel Processes (Parallel Package Tutorial)

A process is simply a Mathematica expression being evaluated. A processor is a parallel kernel that performs such evaluations. The command ParallelEvaluate discussed in the ...

Music Package (Music Package Tutorial)

The functions defined in Music` allow you to make conversions between cents and hertz, and play scales in one of the common tuning systems, or in a user-specified tuning ...

Precedence of Operators in Notations (Notation Package Tutorial)

The precedence of any new notation or operator is determined by examining the components from which it is constructed. For instance, +_ ℛ is grouped according to the ...