Computer Algebra Commands 4-65
Command: SEVAL(SIN(3*X-Y+2*Z-(2*X-Z)) - SIN(X-2*Y+(Y+3*Z))
Result: -SIN(π –(X+3*Z)) -SIN(π –(X+3*Z))
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.
Access: !Ö
DERIV 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:
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.
Access: !Ö
DERIV 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:
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.
Access: PGRAPH, !ÖGRAPH