Reading and Writing Mathematica Files (Mathematica Tutorial)

You can use files on your computer system to store definitions and results from Mathematica. The most general approach is to store everything as plain text that is ...

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Linear IVPs and BVPs (Mathematica Tutorial)

To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

The Standard Evaluation Procedure (Mathematica Tutorial)

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...

Virtual Shared Memory (Parallel Package Tutorial)

Special-purpose multiprocessing hardware comes in two types, shared memory and distributed memory. In a shared-memory machine, all processors have access to a common main ...

Parallelize (Built-in Mathematica Symbol)

Parallelize[expr] evaluates expr using automatic parallelization.

Replace or Remove Invalid or Missing ... (Mathematica How To)

In data analysis, it is often necessary to clean a dataset before analyzing it. Data points with missing entries or that contain invalid values must be removed or replaced by ...

WolframAlpha (Built-in Mathematica Symbol)

WolframAlpha["query"] sends query to Wolfram|Alpha and imports the output.WolframAlpha["query", format] imports the output according to the specified format.

Delay Differential Equations (Mathematica Tutorial)

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

Introduction to Unconstrained ... (Mathematica Tutorial)

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...