polynomial of a regular chain with specified main variable - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Factorization and Solving Equations : RegularChains : ChainTools Subpackage : RegularChains/ChainTools/Polynomial

RegularChains[ChainTools][Polynomial] - polynomial of a regular chain with specified main variable

Calling Sequence

Polynomial(v, rc, R)

Parameters

v

-

variable of R

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command Polynomial(v, rc, R) returns the polynomial of rc with main variable v, otherwise an error is produced.

• 

This command is part of the RegularChains[ChainTools] package, so it can be used in the form Polynomial(..) only after executing the command with(RegularChains[ChainTools]).  However, it can always be accessed through the long form of the command by using RegularChains[ChainTools][Polynomial](..).

Examples

withRegularChains:

R:=PolynomialRingx,y,z

R:=polynomial_ring

(1)

withChainTools:

T:=EmptyR:

T:=Chainz+1z+2,y2+z,xzxy,T,R

T:=regular_chain

(2)

EquationsT,R

x2+yzx+zy,y2+z,z2+3z+2

(3)

p1:=Polynomialx,T,R

p1:=x2xyxz+yz

(4)

p2:=Polynomialy,T,R

p2:=y2+z

(5)

p3:=Polynomialz,T,R

p3:=z2+3z+2

(6)

See Also

Chain, Cut, Empty, Equations, IsAlgebraic, PolynomialRing, RegularChains


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam