Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

Mathematica notebooks provide a sophisticated environment for creating technical documents. But particularly if you want to merge your work with existing material in TeX, you ...

In many cases, you will find it convenient to communicate with external programs at a high level, and to exchange structured data with them. On almost all computer systems, ...

In doing a calculation with Mathematica, you usually go through a sequence of steps. If you want to, you can do each step on a separate line. Often, however, you will find it ...

Basic two-dimensional graphics elements. Here is a line primitive. This shows the line as a two-dimensional graphics object.

f' represents the derivative of a function f of one argument. Derivative[n_1, n_2, ...][f] is the general form, representing a function obtained from f by differentiating n_1 ...

Representing XML Importing XML Exporting XML

Mathematica's approach to differential operators provides both an elegant and a convenient representation of mathematical structures, and an immediate framework for strong ...

Unicode: F74C. Alias: Esc dd Esc. Compound operator with built-in evaluation rules.  can only be interpreted by default when it appears with ∫ or other integral operators. ∫ ...