Composition[f_1, f_2, f_3, ...] represents a composition of the functions f_1, f_2, f_3, ....

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

ComposeList[{f_1, f_2, ...}, x] generates a list of the form {x, f_1[x], f_2[f_1[x]], ...}.

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 ...

Nest[f, expr, n] gives an expression with f applied n times to expr.

ComposeSeries[series_1, series_2, ...] composes several power series.

 

Compositions[n, k] gives a list of all compositions of integer n into k parts.

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, ...