Numerical Solution of Partial ... (Mathematica Tutorial)

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

MathLink Development in C (Linux) (Mathematica Tutorial)

This document describes how to compile and run MathLink programs written in the C language on Linux systems. ("MathLink and External Program Communication" describes how to ...

DirectedInfinity (Built-in Mathematica Symbol)

DirectedInfinity[] represents an infinite numerical quantity whose direction in the complex plane is unknown. DirectedInfinity[z] represents an infinite numerical quantity ...

Sum (Built-in Mathematica Symbol)

Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

Sparse Arrays (Mathematica Guide)

Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...

$Path (Built-in Mathematica Symbol)

$Path gives the default list of directories to search in attempting to find an external file.

Setting Up Hyperlinks (Mathematica Tutorial)

Methods for generating hyperlinks. A hyperlink is a special kind of button which jumps to another part of a notebook when it is pressed. Typically hyperlinks are indicated in ...

EmptyGraphQ (Built-in Mathematica Symbol)

EmptyGraphQ[g] yields True if g is an empty graph and False otherwise.

Continuous Distributions (Mathematica Tutorial)

The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...