CellLocation - Maple Help
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RootFinding[Parametric]

  

CellLocation

  

find the cell index of a given point

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

CellLocation(m, s)

CellLocation(m, p)

Parameters

m

-

solution record, as returned by CellDecomposition

s

-

list of equations of the form parameter=rational number representing a point in parameter space

p

-

list of rational numbers representing a point in parameter space

Description

• 

The CellLocation command returns a non-negative integer, the index of the open cell in which the point lies, or  if the point does not lie in any of the open cells of .

• 

The CellLocation command determines the cell of  in which the given point lies.

• 

The point can be specified in two different formats:

– 

as a list s of equations of the form parameter=rational number, or

– 

as a list p of rational numbers, in which case the th parameter in m:-Parameters gets replaced by , for all .

• 

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

Examples

(1)

(2)

(3)

The point  lies on the discriminant variety and therefore not in any open cell.

(4)

The point  violates the inequality , and  does not contain any cells in the negative half plane for .

(5)

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