RegularChains[SemiAlgebraicSetTools] - Maple Help

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RegularChains[SemiAlgebraicSetTools]

  

RepresentingBox

  

return the representing box of a semi-algebraic set

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

RepresentingBox(rst, R)

Parameters

rst

-

regular semi-algebraic set

R

-

polynomial ring

Description

• 

The command RepresentingBox(rst, R) returns the representing box or parametric box of a regular semi-algebraic set.

• 

See the page SemiAlgebraicSetTools for the definitions of a regular semi-algebraic set, a parametric box and a box.

Examples

withRegularChains:

withParametricSystemTools:

withSemiAlgebraicSetTools:

RPolynomialRingx,d,a,b,c

R:=polynomial_ring

(1)

Determine under which conditions on a,b,c,d the equation x2+d=0 has 2 distinct real solutions, provided that d satisfies ad2+bd+c=0.

Fx2+d,ad2+bd+c

F:=x2+d,ad2+bd+c

(2)

N

N:=

(3)

P

P:=

(4)

H

H:=

(5)

rrcRealRootClassificationF,N,P,H,4,2,R

rrc:=regular_semi_algebraic_set,border_polynomial

(6)

rsasrrc11

rsas:=regular_semi_algebraic_set

(7)

rbxRepresentingBoxrsas,R

rbx:=parametric_box

(8)

Inforbx,R

d,1,ad2+bd+c,1

(9)

See Also

DisplayParametricBox

IsParametricBox

RealRootClassification

RegularChains

RepresentingBox

RepresentingChain

RepresentingQuantifierFreeFormula

RepresentingRootIndex

VariableOrdering

 


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