without loss of generality

介词短语
中文释义

英文释义

介词短语
  1. With a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.
    — We wish to prove two ellipses in the plane intersect in an even number of points or are tangent. Without loss of generality, assume one of them has the equation x²#43;y²#61;1.
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