When you make a function definition using :=, the value of the function is recomputed every time you ask for it. In some kinds of calculations, you may end up asking for the ...

The notion of expressions is a crucial unifying principle in Mathematica. It is the fact that every object in Mathematica has the same underlying structure that makes it ...

Total differentiation operations. When you find the derivative of some expression f with respect to x, you are effectively finding out how fast f changes as you vary x. Often ...

You can think of an expression like f[x] as being formed by applying an operator f to the expression x. You can think of an expression like f[g[x]] as the result of composing ...

In Mathematica, dialog boxes are customized notebooks used to provide users with information and/or request user input. There are two properties associated with dialogs. ...

If you want to do simple operations on Mathematica notebooks, then you will usually find it convenient just to use the interactive capabilities of the standard Mathematica ...

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

VertexCoverQ[g, vlist] yields True if the vertex list vlist is a vertex cover of the graph g, and False otherwise.

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 ...

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...