Special Characters (Mathematica Tutorial)

Built into Mathematica are a large number of special characters intended for use in mathematical and other notation. "Listing of Named Characters" gives a complete listing. ...

Streams and Low-Level Input and Output (Mathematica Tutorial)

Files and pipes are both examples of general Mathematica objects known as streams. A stream in Mathematica is a source of input or output. There are many operations that you ...

String Patterns (Mathematica Tutorial)

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 ...

Performance (DatabaseLink Tutorial)

When large amounts of data are being transferred between Mathematica and a database, you may find that the operations are slow. In this case it may be advantageous to use a ...

SQLExecute (DatabaseLink Tutorial)

SQLExecute allows SQL statements to be executed. Statements can be used to select data, create tables, insert data, update data, remove data, and drop tables. The statement ...

Inserting Data with Raw SQL (DatabaseLink Tutorial)

The SQL command INSERT inserts data into a database. An alternative is to use the Mathematica command SQLInsert, as described in "Inserting Data". If you find that the ...

The Database Explorer (DatabaseLink Tutorial)

The Database Explorer is a graphical interface to DatabaseLink. It provides a number of useful functions, such as managing connections and working with the data in a ...

Transactions (DatabaseLink Tutorial)

Some database operations involve carrying out a sequence of database commands. For example, information in two different tables may need to be updated. In these cases it may ...

Series (Built-in Mathematica Symbol)

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...