ToNumberField[a, \[Theta]] expresses the algebraic number a in the number field generated by \[Theta]. ToNumberField[{a_1, a_2, ...}, \[Theta]] expresses the a_i in the field ...

lhs ^:= rhs assigns rhs to be the delayed value of lhs, and associates the assignment with symbols that occur at level one in lhs.

Mathematica 8 provides functions that allow developers to implement file format converters to be integrated with the Mathematica Import and Export framework. You can ...

When you write down a set of simultaneous equations in Mathematica, you are specifying a collection of constraints between variables. When you use Solve, you are finding ...

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...

Defining local constants. Module allows you to set up local variables, to which you can assign values and then change them. Often, however, all you really need are local ...

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...

Mathematica treats equations as logical statements. If you type in an equation like x^2+3x==2, Mathematica interprets this as a logical statement which asserts that x^2+3x is ...

SQLConnection[...] is an object that represents a connection to a data source.