SeedRandom[n] resets the pseudorandom generator, using n as a seed. SeedRandom[] resets the generator, using as a seed the time of day and certain attributes of the current ...

StringFreeQ["string", patt] yields True if no substring in " string" matches the string expression patt, and yields False otherwise. StringFreeQ["string", {patt_1, patt_2, ...

Tolerance is an option for various numerical options which specifies the tolerance that should be allowed in computing results.

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

Mathematica's notebook interface is a very powerful typesetting system that allows you to enter formulas as they are written in mathematical literature, using two-dimensional ...

The built-in Mathematica iteration functions such as Table and Sum evaluate their arguments in a slightly special way. When evaluating an expression like Table[f,{i,i_max}], ...

Converting notebooks to HTML. Export has many options applying to HTML export that allow you to specify how notebooks should be converted for web browsers with different ...

Mathematica usually pays no attention to whether variables like x stand for real or complex numbers. Sometimes, however, you may want to make transformations which are ...

In most cases, you want the head f of a Mathematica expression like f[x] to be a single symbol. There are, however, some important applications of heads that are not symbols. ...

Here is the integral ∫x^n dx in Mathematica. Here is a slightly more complicated example. Mathematica knows how to do almost any integral that can be done in terms of ...