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Zero-sum curves and surfaces Implicitly defined curves  (left graphic) and  (right graphic) in the  , ‐plane. Implicitly defined surface  (left graphic) and  (right graphic) in  , , ‐space. Implicitly defined surface  in  , , ‐space. Implicitly defined surfaces  (empty left graphic) and  (empty right graphic) in  , , ‐space.
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