Introduction to Partial Differential ... (Mathematica Tutorial)

A partial differential equation (PDE) is a relationship between an unknown function u(x_1,x_2,…,x_n) and its derivatives with respect to the variables x_1,x_2,…,x_n. Here is ...

HermiteDecomposition (Built-in Mathematica Symbol)

HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.

Calling Subsidiary Mathematica Processes (Mathematica Tutorial)

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 ...

Numerical Nonlinear Global Optimization ... (Mathematica Tutorial)

Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...

Library Structure and Life Cycle (Library Link Tutorial)

Wolfram LibraryLink allows dynamic libraries to be directly loaded into the Mathematica kernel so that functions in the libraries can be immediately called from Mathematica. ...

PaulWavelet (Built-in Mathematica Symbol)

PaulWavelet[] represents a Paul wavelet of order 4.PaulWavelet[n] represents a Paul wavelet of order n.

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...

Examples (Library Link Tutorial)

Wolfram LibraryLink allows dynamic libraries to be directly loaded into the Mathematica kernel so that functions in the libraries can be immediately called from Mathematica. ...

Set (Built-in Mathematica Symbol)

lhs = rhs evaluates rhs and assigns the result to be the value of lhs. From then on, lhs is replaced by rhs whenever it appears. {l_1, l_2, ...} = {r_1, r_2, ...} evaluates ...

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, ...