Two ways to set up automatic numbering in a Mathematica notebook. These cells are in DisplayFormulaNumbered style. DisplayFormulaNumbered style is available in the default ...

Internal representations used by Mathematica. When you type input into Mathematica, a data structure is created in the memory of your computer to represent the expression you ...

Some basic matrix operations. Transposing a matrix interchanges the rows and columns in the matrix. If you transpose an m×n matrix, you get an n×m matrix as the result. ...

Expressions are the main type of data in Mathematica. Expressions can be written in the form h[e_1,e_2,…]. The object h is known generically as the head of the expression. ...

Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...

Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

Functions like Read and Write handle ordinary printable text. But in dealing with external data files or devices it is sometimes necessary to go to a lower level, and work ...

Modules in Mathematica allow you to treat the names of variables as local. Sometimes, however, you want the names to be global, but values to be local. You can do this in ...

When you write a program in Mathematica, you should always try to set it up so that its parts are as independent as possible. In this way, the program will be easier for you ...

Building large software systems in Mathematica should follow the general principles that apply to building any large software system. The details may be unique to Mathematica ...