DumpSave["file.mx", symbol] writes definitions associated with a symbol to a file in internal Mathematica format. DumpSave["file.mx", " context`"] writes out definitions ...

NHoldFirst is an attribute which specifies that the first argument to a function should not be affected by N.

ParallelNeeds["context"] evaluates Needs["context"] on all available parallel kernels.

lhs -> rhs or lhs -> rhs represents a rule that transforms lhs to rhs.

Mathematica creates a new symbol when you first enter a particular name. Sometimes it is useful to "intercept" the process of creating a new symbol. Mathematica provides ...

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

Manipulating global options in the front end. Just like cells and notebooks, the complete Mathematica front end has various options, which you can look at and manipulate from ...

Finding memory usage. Particularly for symbolic computations, memory is usually the primary resource which limits the size of computations you can do. If a computation runs ...

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...