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NAGtypes :: numericalAffineSpace

numericalAffineSpace -- affine space as a numerical variety

Synopsis

Description

Constructs a numerical variety representing the complex affine space corresponding to the given coordinate ring.

i1 : R = CC[x,y]	

o1 = R

o1 : PolynomialRing
i2 : V := numericalAffineSpace R

o2 = a numerical variety with components in
     dim 2:  [dim=2,deg=1]-*may be reducible*-

o2 : NumericalVariety
i3 : C := first components V

o3 = [dim=2,deg=1]-*may be reducible*-

o3 : WitnessSet
i4 : equations C

o4 = {}

o4 : List
i5 : slice C

o5 = {(.892712 + .673395*ii)x + (.0258884 + .714827*ii)y - .461944 -
     ------------------------------------------------------------------------
     .775187*ii, (.29398 + .632944*ii)x + (.89189 + .231053*ii)y - .909047 -
     ------------------------------------------------------------------------
     .314897*ii}

o5 : List
i6 : points C

o6 = {{.364967-.0660072*ii, .826623-.098325*ii}}

o6 : VerticalList

See also

Ways to use numericalAffineSpace :

For the programmer

The object numericalAffineSpace is a method function.