Optional (Built-in Mathematica Symbol)

p : v is a pattern object that represents an expression of the form p, which, if omitted, should be replaced by v.

PrivateEvaluationOptions (Built-in Mathematica Symbol)

PrivateEvaluationOptions -> {opt_1 -> val_1, opt_2 -> val_2} is an option for selections that specifies settings for evaluation-related suboptions.

SpellingOptions (Built-in Mathematica Symbol)

SpellingOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option for notebooks that specifies settings for spell checking.

Collecting Objects Together (Mathematica Tutorial)

We first encountered lists in "Making Lists of Objects" as a way of collecting numbers together. Here, we shall see many different ways to use lists. You will find that lists ...

Defining Numerical Values (Mathematica Tutorial)

If you make a definition such as f[x_]:=value, Mathematica will use the value you give for any f function it encounters. In some cases, however, you may want to define a ...

Making Lists of Objects (Mathematica Tutorial)

In doing calculations, it is often convenient to collect together several objects, and treat them as a single entity. Lists give you a way to make collections of objects in ...

Typing Matrices (Mathematica Tutorial)

Choose Insert > Table/Matrix > New. Use the dialog box that pops up to create a matrix. Suppose the entry in the top-left position is selected.

Change the Format of Numbers (Mathematica How To)

While there is typically one representation for exact numbers, approximate numbers can be presented differently according to the conventions of different professions or ...

Combine and Rearrange Lists (Mathematica How To)

Mathematica provides a complete data manipulation language with vast flexibility in rearranging lists with any number of elements in any kind of structure.

Do an Integral (Mathematica How To)

Mathematica contains a very powerful system of integration. It can do almost any integral that can be done in terms of standard mathematical functions.