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realPoints -- select real points

Usage:

R = realPoints L
Inputs:
- L, points
Optional inputs:
- Tolerance => ..., default value .000001, the tolerance of a numerical computation
Outputs:
- R, points that are real (up to Tolerance)

Description

Selects real points from a list of points using the function isRealPoint.

i1 : needsPackage "NumericalAlgebraicGeometry"

o1 = NumericalAlgebraicGeometry

o1 : Package

i2 : R = CC[x,y];

i3 : sols = solveSystem{x^6-y^4, x-y-2}

o3 = {{.937565+.715691*ii, -1.06244+.715691*ii}, {.937565-.715691*ii,
     ------------------------------------------------------------------------
     -1.06244-.715691*ii}, {-2*ii, -2-2*ii}, {2*ii, -2+2*ii}, {1, -1},
     ------------------------------------------------------------------------
     {-2.87513, -4.87513}}

o3 : List

i4 : realPoints sols

o4 = {{1, -1}, {-2.87513, -4.87513}}

o4 : List

See also

realPoints -- select real points

Ways to use realPoints:

realPoints(List)

For the programmer

The object realPoints is a method function with options.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/NAGtypes/doc-NAGtypes.m2:262:0.