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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, 1.01842e-15+4.99658e-16*ii}, {-1, -1.01061e-15-5.89864e-16*ii},
     ------------------------------------------------------------------------
     {7.4263e-16-5.71026e-16*ii, 1}, {-7.1791e-16+5.49342e-16*ii, -1}}

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

o3 = true

Ways to use areEqual :