The Mathematica compiler provides an important way both to speed up and also to work with Mathematica computations. It does this by taking assumptions about the computations ...

The functionality is now available in built-in Mathematica kernel functions RSolve, ZTransform, and Sum. The built-in kernel function SeriesCoefficient now contains the ...

IncludeConstantBasis is an option for LinearModelFit and other fitting functions that specifies whether a constant term should be included if not explicitly given in the list ...

Protect[s_1, s_2, ...] sets the attribute Protected for the symbols s_i. Protect["form_1", "form_2", ...] protects all symbols whose names match any of the string patterns ...

TimeUsed[] gives the total number of seconds of CPU time used so far in the current Mathematica session.

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 ...

The general solution to this equation is found by separation of variables. Even when variables can be separated, the final solution might be accompanied by a warning message ...

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.

A partial differential equation (PDE) is a relationship between an unknown function u(x_1,x_2,…,x_n) and its derivatives with respect to the variables x_1,x_2,…,x_n. Here is ...

Throughout any computation, Mathematica maintains an evaluation stack containing the expressions it is currently evaluating. You can use the function Stack to look at the ...