Computer Algebra System (CAS)
14-69
Example
Typing:
SIGMA(X · X!, X)
gives:
X!
because (X + 1)! – X! = X · X!.
SIGMAVX
Returns the discrete antiderivative of the input function,
that is a function, G, that satisfies the relation: G(
x
+ 1) –
G(
x
) = f(
x
). SIGMAVX has as its argument a function
f
of
the current variable VX.
Example
Typing:
SIGMAVX(X
2
)
gives:
because:
STURMAB
Returns the number of zeros of
P
in [
a
,
b
[ where
P
is a
polynomial and
a
and
b
are numbers.
Example 1
Typing:
STURMAB(X
2
· (X
3
+ 2), –2, 0)
gives:
1
Example 2
Typing:
STURMAB(X
2
· (X
3
+ 2), –2, 1)
gives:
3
2
x
3
3
x
2
–
x
+
6
--------------------------------
2
x
1
+
(
)
3
3
x
1
+
(
)
2
–
x
1 2
x
3
–
3
x
2
x
–
+ +
+
6
x
2
=
hp40g+.book Page 69 Friday, December 9, 2005 1:03 AM
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