without loss of generality

prep_phrase

Definitions

  1. With a constraining assumption that, however, makes it clear how to apply the proof…

    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.

The neighborhood

Vish — recursive loop

No curated loop yet for without loss of generality. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA