HP 48g Graphing Calculator - Manual (Page 133)

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Built-In Functions and Commands
Built-in functions and built-in commands are subsets of HP 48
operations. An operation is any action the calculator can perform.
(Every time you press a key, you execute an operation.) But not all
operations are equivalent to one another. They are classified into the
following categories:
■ Operation. Any built-in action represented by a name or key.
■ Command. Any programmable operation.
a Function. Any command that can be included in algebraic objects.
m Analytic function. Any function for which the HP 48 provides an
inverse and derivative.
Analytic functions are a subset of functions—functions are a subset of
commands—and commands are a subset of operations.
SIN, for example, is an analytic function—it has an inverse
and derivative, can be included in an algebraic object, and is
programmable. SWAP (the command to swap stack levels 1 and 2),
however, is a command—it can be included in a program, but it can’t
go in an algebraic and has no derivative or inverse.
The operation index in appendix G tells you how each operation is
classified. Also, throughout the manual, HP 48 activities are referred
to as operations, commands, functions, or analytic functions where
appropriate.
Built-in function and built-in command objects describe the HP 48
command set. You can think of them as built-in program objects.
(Operations that aren’t commands are not objects—you can’t include
them in programs.)
11
Using Mathematical Functions 11-1