Combinatorial Functions (Mathematica Tutorial)

Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...

OpenCLFunctionLoad (OpenCLLink Symbol)

OpenCLFunctionLoad[prog, fun, argtypes, blockdims] loads fun from source code prog, returning an OpenCLFunction object.OpenCLFunctionLoad[{progfile}, fun, argtypes, ...

Animate (Built-in Mathematica Symbol)

Animate[expr, {u, u_min, u_max}] generates an animation of expr in which u varies continuously from u_min to u_max. Animate[expr, {u, u_min, u_max, du}] takes u to vary in ...

Stiffness Detection (Mathematica Tutorial)

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

SmoothKernelDistribution (Built-in Mathematica Symbol)

SmoothKernelDistribution[{x_1, x_2, ...}] represents a smooth kernel distribution based on the data values x_i.SmoothKernelDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

StreamPlot (Built-in Mathematica Symbol)

StreamPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y. StreamPlot[{{v_x, v_y}, {w_x, ...

VectorDensityPlot (Built-in Mathematica Symbol)

VectorDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a vector plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...

Failure Recovery, Tracing, and Debugging (Parallel Package Tutorial)

A remote kernel in use may fail at any time, due to hardware, network, or software problems. A failure of a remote kernel will be noticed the next time Parallel Computing ...

Parallelize (Built-in Mathematica Symbol)

Parallelize[expr] evaluates expr using automatic parallelization.

Naming and Finding Files (Mathematica Tutorial)

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 ...