Cut - Maple Help
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RegularChains[ChainTools]

  

Cut

  

split a chain by a variable

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Cut(v, rc, R)

Parameters

v

-

variable of of R

rc

-

regular chain of R

R

-

polynomial ring

out_top

-

unevaluated name

out_pv

-

unevaluated name

out_sub_rc

-

unevaluated name

Description

• 

The command Cut(v, rc, R) returns  where  is true if and only if v is an algebraic variable of rc, that is, if there exists a polynomial of rc with v as main variables.

• 

Moreover, top is assigned to the list of polynomials of rc with main variable strictly greater than v, ordered by increasing main variable.

• 

pv is assigned to the polynomial of rc with main variable v. If no such polynomial exists, pv is left unchanged.

• 

sub_rc is the regular chain under the variable v, i.e. composed of the polynomials of rc with main variable strictly lower than v.

• 

This command is part of the RegularChains[ChainTools] package, so it can be used in the form Cut(..) 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][Cut](..).

Examples

(1)

(2)

(3)

(4)

(5)

(6)

See Also

Chain

ChainTools

Empty

Equations

IsAlgebraic

Polynomial

PolynomialRing

RegularChains

Under

Upper

 


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