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Resultant

inert resultant function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Resultant(a, b, x)

Parameters

a, b

-

polynomials

x

-

name

Description

• 

The Resultant function is a placeholder for representing the resultant of the polynomials a and b with respect to the main variable x. It is used in conjunction with either mod or evala which define the coefficient domain as described below.

• 

The call Resultant(a, b, x) mod p computes the resultant of a and b with respect to the main variable x modulo p, a prime integer. The argument a must be a (multivariate) polynomial over the rationals or over a finite field specified by RootOfs.

• 

The call evala(Resultant(a, b, x)) does likewise for a and b (multivariate) polynomials with algebraic number (or function) coefficients defined by RootOfs.

• 

The call modp1(Resultant(a, b), p) computes the resultant of a and b modulo p a prime integer where a and b are in the modp1 representation.

Examples

Resultant2x+1,3x+4,xmod7

5

(1)

rx+RootOf_Z22:

sRootOf_Z22x+1:

evalaResultantr,s,x

1

(2)

evalaResultant2x2+xy+x+y+3,3xy+y2,x

y2y26y27

(3)

See Also

evala

mod

modp1

resultant

 


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