In many kinds of calculations, you need to set up "arrays" that contain sequences of expressions, each specified by a certain index. One way to implement arrays in ...

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

The notion of expressions is a crucial unifying principle in Mathematica. It is the fact that every object in Mathematica has the same underlying structure that makes it ...

SQLExecute allows SQL statements to be executed. Statements can be used to select data, create tables, insert data, update data, remove data, and drop tables. The statement ...

LibraryVersionInformation[lib] returns a list of rules of library version information.

OpenCLFractalRender3D[width, height] renders a three-dimensional fractal with image size being the specified width and height.

Building large software systems in Mathematica should follow the general principles that apply to building any large software system. The details may be unique to Mathematica ...

Mathematica provides built-in support for both programmatic and interactive image processing, fully integrated with Mathematica's powerful mathematical and algorithmic ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...