Like other objects in Mathematica, the cells in a notebook, and in fact the whole notebook itself, are all ultimately represented as Mathematica expressions. With the ...

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...

Mathematica provides various options for labeling three-dimensional graphics. Some of these options are directly analogous to those for two-dimensional graphics, discussed in ...

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

Options associated with the interactive entering of expressions. The option SingleLetterItalics is typically set whenever a cell uses TraditionalForm. Here is an expression ...

Mathematica always allows you to refer to special characters by using names such as ∖[Alpha] or explicit hexadecimal codes such as ∖:03b1. And when Mathematica writes out ...