VertexShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each vertex.

WeibullDistribution[\[Alpha], \[Beta]] represents a Weibull distribution with shape parameter \[Alpha] and scale parameter \[Beta].WeibullDistribution[\[Alpha], \[Beta], ...

$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number.

Internal representations used by Mathematica. When you type input into Mathematica, a data structure is created in the memory of your computer to represent the expression you ...

Connecting to a subsidiary program via MathLink. This starts a subsidiary Mathematica process on the computer system used here. Here is a packet representing the first input ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

The hypergeometric functions play a unifying role in mathematical analysis since many important functions, such as the Bessel functions and Legendre functions, are special ...

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

Mathematica provides various options for labeling three-dimensional graphics. Some of these options are directly analogous to those for two-dimensional graphics, discussed in ...