HP 40gs User Manual page 231

hp40g+.book Page 49 Friday, December 9, 2005 1:03 AM
IQUOT
IREMAINDER
Computer Algebra System (CAS)
[48,1,0]
[30,0,1]*–1
[18,1,–1]*–1
[12,–1,2]*–1
[6,2,–3]*–2
Result: [6,2,–3]
Pressing or then causes 2 AND –3 = 6 to be
written to the Equation Writer.
The intermediate steps shown are the combination of
lines. For example, to get line L(n + 2), take L(n) – q*L(n
+ 1) where q is the Euclidean quotient of the integers at
the beginning of the vector, these integers being the
sequence of remainders).
Returns the integer quotient of the Euclidean division of
two integers.
Example
Typing:
IQUOT(148, 5)
gives:
29
In step-by-step mode, the
division is carried out as if
in longhand
Pressing or
then causes 29 to be
written to the Equation
Writer.
Returns the integer remainder from the Euclidean division
of two integers.
Example 1
Typing:
IREMAINDER(148, 5)
gives:
3
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