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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 = {{2.27367e-16-3.20005e-16*ii, -1}, {-2.28451e-16+4.16282e-16*ii, 1}, {1,
     ------------------------------------------------------------------------
     -1.06085e-15+6.08037e-16*ii}, {-1, 1.06085e-15-6.21915e-16*ii}}

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

o3 = true

Ways to use areEqual :