without loss of generality

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English[edit]

Wikipedia

Adverb[edit]

without loss of generality

  1. (mathematics) 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 has the equation x^2+y^2=1.

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