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One option would be to restrict the function from funky regions with a Condition liks this f[x_, y_] /; Abs[x - y] > 5 := (Sin[x] - Sin[y])/(x - y); Plot3D[f[x, y], {x, -10, 10}, {y, -10, 10}] Out: One can easily see that Plot3D will also sample points in the region which is "forbidden", the points are just not drawn due to the RegionFunction. ...



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