hp40g+.book Page 49 Friday, December 9, 2005 1:03 AM

[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).

IQUOT

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.

 

 

 

IREMAINDER

Returns the integer remainder from the Euclidean division

of two integers.

Example 1

Typing:

IREMAINDER(148, 5)

gives:

3

Computer Algebra System (CAS)

14-49