Slider[x] represents a slider with setting x in the range 0 to 1. Slider[Dynamic[x]] takes the setting to be the dynamically updated current value of x, with the value of x ...

VertexDegree[g] gives the list of vertex degrees for all vertices in the graph g.VertexDegree[g, v] gives the vertex degree for the vertex v.

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...

Mathematica provides users with access to their computer's file system (Files), interprocess communication (MathLink Mathematica Functions), evaluation of data as code ...

All textual and graphical forms in Mathematica are ultimately represented in terms of nested collections of boxes. Typically the elements of these boxes correspond to objects ...

SphericalPlot3D[r, \[Theta], \[Phi]] generates a 3D plot with a spherical radius r as a function of spherical coordinates \[Theta] and \[Phi].SphericalPlot3D[r, {\[Theta], ...

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

ParallelTable[expr, {i_max}] generates in parallel a list of i_max copies of expr.ParallelTable[expr, {i, i_max}] generates in parallel a list of the values of expr when i ...