HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 237
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hp40g+.book Page 55 Friday, December 9, 2005 1:03 AM SUBTMOD Performs a subtraction in Z/pZ or Z/pZ[X]. Example 1 Typing: SUBTMOD(29, 8) gives: -5 Example 2 Typing: SUBTMOD(11X + 5, 8X + 6) gives: 3x - 1 Polynomial menu EGCD Returns Bézout's Identity, the Extended Greatest Common Divisor (EGCD). EGCD(A(X), B(X)) returns U(X) AND V(X) = D(X), with D, U, V such that D(X) = U(X)·A(X) + V(X)·B(X). Example 1 Typing: EGCD(X2 + 2 · X + 1, X2 - 1) gives: -1 AND -1 = 2x + 2 Example 2 Typing: EGCD(X2 + 2 · X + 1, X3 + 1) gives: -(x - 2) AND 1 = 3x + 3 Computer Algebra System (CAS) 14-55
Computer Algebra System (CAS)
14-55
SUBTMOD
Performs a subtraction in Z/pZ or Z/pZ[X].
Example 1
Typing:
SUBTMOD(29, 8)
gives:
–5
Example 2
Typing:
SUBTMOD(11X + 5, 8X + 6)
gives:
Polynomial menu
EGCD
Returns Bézout’s Identity, the Extended Greatest Common
Divisor (EGCD).
EGCD(A(X), B(X)) returns U(X) AND V(X) = D(X), with D,
U, V such that D(X) = U(X)·A(X) + V(X)·B(X).
Example 1
Typing:
EGCD(X
2
+ 2 · X + 1, X
2
– 1)
gives:
AND
Example 2
Typing:
EGCD(X
2
+ 2 · X + 1, X
3
+ 1)
gives:
AND
3
x
1
–
1
–
1
–
2
x
2
+
=
x
2
–
(
)
–
1
3
x
3
+
=
hp40g+.book
Page 55
Friday, December 9, 2005
1:03 AM