Used to construct a witness set of a component of the variety V(E). It is expected that codim E == dim S and that P is a subset of the intersection of V(E) and V(S).
i1 : R = CC[x,y] o1 = R o1 : PolynomialRing |
i2 : w = witnessSet( ideal(x^2+y^2+2), ideal(x-y), {point {{0.999999*ii,0.999999*ii}}, point {{-1.000001*ii,-1.000001*ii}}} ) o2 = w o2 : WitnessSet |
i3 : peek w o3 = WitnessSet{cache => CacheTable{...1...} } Equations => {-2} | x2+y2+2 | Points => {{.999999*ii, .999999*ii}} {{-ii, -ii} } Slice => | 1 -1 0 | |
The object witnessSet is a method function.