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 ...

Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.

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 ...

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

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.

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...

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 ...