HP 48gII Graphing, 50g Graphing manual Sigmavx, Sign, Access !ÖDERIV LL, SIGMA, Risch

G(x + 1) – G(x) = f(x)

where x is the specified variable.

Access: !ÖDERIV L

Input: Level 2/Argument 1: A function

Level 1/Argument 2: The variable to calculate the antiderivative with respect to.

Output: The discrete antiderivative of the function.

Flags: Exact mode must be set (flag –105 clear). Numeric mode must not be set (flag –3 clear). Radians mode must be set (flag –17 set).

Example: Obtain the discrete antiderivative with respect to the variable y of the expression: 2x2 y

Command: SIGMA(2*X-2*Y,Y)

Result: -(Y^2 –(2*X+1)*Y)

See also: SIGMAVX, RISCH

SIGMAVX

Type: Function

Description: Calculates the discrete antiderivative of a function f with respect to the current variable. This is a function G such that:

G(x + 1) – G(x) = f(x)

where x is the current variable.

Access: !ÖDERIV LL

Input: Level 1/Argument 1: A function.

Output: The discrete antiderivative of the function.

Flags: Exact mode must be set (flag –105 clear). Numeric mode must not be set (flag –3 clear). Radians mode must be set (flag –17 set).

Example: Obtain the discrete antiderivative with respect to the current variable x of the expression: 2x2 y

Command:	SIGMAVX(2*X-2*Y)
Result:	X^2 –(2*Y+1)*X
See also:	SIGMA, RISCH
SIGN	Function
Type:
Description:	Sign Function: Returns the sign of a real number argument, the sign of the numerical part of a
	unit object argument, or the unit vector in the direction of a complex number argument.
	For real number and unit object arguments, the sign is defined as +1 for positive arguments, –1
	for negative arguments. In exact mode, the sign for argument 0 is undefined (?). In approximate
	mode, the sign for argument 0 is 0. SIGN in the !´menu returns the sign of a number, while
	SIGN in the …ß menu returns the unit vector of a complex number.
	For a complex argument:
	SIGN( x + iy) =	x	+	iy
		--------------------x2+ y2		--------------------x2+ y2

Full Command and Function Reference 3223