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NumericalAlgebraicGeometry :: areEqual

areEqual -- determine if solutions are equal

Synopsis

Description

The function returns false if Riemannian distance exceeds Tolerance and true, otherwise.
i1 : R = CC[x,y];
i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{-1, 1.04882e-15+7.59064e-16*ii}, {1, -1.04882e-15-7.59064e-16*ii},
     ------------------------------------------------------------------------
     {-6.15976e-16+1.67394e-16*ii, 1}, {6.15976e-16-1.67394e-16*ii, -1}}

o2 : List
i3 : areEqual(sortSolutions s / coordinates, {{-1, 0}, {0, -1}, {0, 1}, {1, 0}})

o3 = true

Ways to use areEqual :