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Jun 18th, 2019
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  1. Plot3D[Evaluate[If[Sin[x y z] > 1/2, Sin[x y z], 0] /. z -> 1], {x, -1, 1}, {y, -1, 1}]
  2.  
  3. Plot3D[If[Sin[x y z] > 1/2, Sin[x y z], 0] /. z -> 1, {x, -1, 1}, {y, -1, 1},
  4. Exclusions -> {Sin[x y ] == 1/2}]
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