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content

content of a multivariate polynomial

primpart

primpart of a multivariate polynomial

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

content(a, x, 'pp')

primpart(a, x, 'co')

Parameters

a

-

multivariate polynomial in x

x

-

(optional) name or set or list of names

pp

-

(optional) unevaluated name

co

-

(optional) unevaluated name

Description

• 

If a is a multivariate polynomial with integer coefficients, content returns the content of a with respect to x, thus returning the greatest common divisor of the coefficients of a with respect to the indeterminate(s) x.  The indeterminate(s) x can be a name, list, or set of names.

• 

The third argument pp, if present, will be assigned the primitive part of a, namely a divided by the content of a.

• 

If the coefficients of a in x are rational functions then the content computed will be such that the primitive part is a multivariate polynomial over the integers whose content is 1.

• 

Similarly, primpart returns a/content(a, x). The third argument co, if present, will be assigned the content. Note:  Whereas the sign is removed from the content, it is not removed from the primitive part.

Examples

content33x,x

3

(1)

content3xy+6y2,x

3y

(2)

content3xy+6y2,x,y

3

(3)

content4xy+6y2,x,'pp'

2y

(4)

pp

3y2x

(5)

contentxa12,x,'pp'

12a

(6)

pp

2xa

(7)

primpart4xy+6y2,x

3y2x

(8)

primpartxa12,x

2xa

(9)

See Also

coeffs

Content

gcd

icontent

 


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