Most mathematical functions in Mathematica are set up to apply themselves separately to each element in a list. This is true in particular of all functions that carry the ...

Repeated patterns. Multiple blanks such as x__ allow you to give patterns in which sequences of arbitrary expressions can occur. The Mathematica pattern repetition operators ...

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

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...

An important feature of string manipulation functions like StringReplace is that they handle not only literal strings but also patterns for collections of strings. This ...

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...

If you experience internet connectivity problems, such as trouble using Mathematica's integrated data functions, try following the troubleshooting techniques described below. ...

Nearest is used to find elements in a list that are closest to a given data point. Nearest function. Nearest works with numeric lists, tensors, or a list of strings.