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## D Summary of Maple Commands

Constructs a function named f, whose rule is governed by the given expression.

Example:

> f:=x->xˆ2 -x;

f := x→ x2 − x > f(3);

Functions of more than one variable are similarly defined.

Example:

> f:=(x1,x2)-> x1ˆ2 -x2ˆ2;

f := (x1, x2)→ x21 − x22 > f(2,1);

Piecewise-defined functions can be entered via the piecewise command, whose general form is

where each condition corresponds to the expression immediately following it. The conditions are expressed as inequalities and Boolean combinations thereof.