Sigma; Sigmavx; Signtab - HP 48gII Advanced User's Reference Manual

Command:
SEVAL(SIN(3*X-Y+2*Z-(2*X-Z)) - SIN(X-2*Y+(Y+3*Z))
Result:
-SIN(
See also: EXPAND, SIMPLIFY

SIGMA

Type: Function
Description: Calculates the discrete antiderivative of a function f with respect to a specified variable. This is
a function G such that:
G(x + 1) – G(x) = f(x)
where x is the specified variable.
!Ö
Access:
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:
2x-2y
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.
!Ö
Access:
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:
2x-2y
Command:
SIGMAVX(2*X-2*Y)
Result:
X^2 –(2*Y+1)*X
See also: SIGMA, RISCH

SIGNTAB

Type: Command
Description: Tabulates the sign of a rational function of the current CAS variable.
P
Access:
GRAPH
–(X+3*Z)) -SIN( –(X+3*Z))
L
DERIV
LL
DERIV
, !Ö
GRAPH
Computer Algebra Commands 4-65