Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.

Converting power series to normal expressions. Power series in Mathematica are represented in a special internal form, which keeps track of such attributes as their expansion ...

Here is an example of an exact ODE. This verifies the solution. Here is a contour plot of the solution.

Code generation from Mathematica involves converting programs written in the Mathematica language into other languages and then supporting them so that they can be executed. ...

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

For minimization problems for which the objective function is a sum of squares, it is often advantageous to use the special structure of the problem. Time and effort can be ...

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

SymbolicC provides automated formatting of the generated C output. This section reviews some of the ways that you can work with formatting to create your own styles of ...

Eigenvectors[m] gives a list of the eigenvectors of the square matrix m. Eigenvectors[{m, a}] gives the generalized eigenvectors of m with respect to a. Eigenvectors[m, k] ...