RegularChains[ChainTools] - Maple Programming 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

Parameters

Description

Examples

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

with(RegularChains):

R := PolynomialRing([x, y, z]);

Rpolynomial_ring

(1)

with(ChainTools):

T := Empty(R):

T := Chain([(z+1)*(z+2), y^2+z, (x-z)*(x-y)], T, R);

Tregular_chain

(2)

Equations(T, R);

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

(3)

p1 := Polynomial(x, T, R);

p1x2xyzx+zy

(4)

p2 := Polynomial(y, T, R);

p2y2+z

(5)

p3 := Polynomial(z, T, R);

p3z2+3z+2

(6)

See Also

Chain

Cut

Empty

Equations

IsAlgebraic

PolynomialRing

RegularChains