without loss

listen to the pronunciation of without loss
English - Turkish
kayıpsız olarak
without loss of time
vakit kaybetmeden
without loss of generality
Yapılan varsayımın probleme yeni kısıtlamalar getirmemesi durumunda kullanılan ifade
English - English

Definition of without loss in English English dictionary

without loss of generality
Making a constraining assumption that makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption
without loss of generality
Without loss of generality (abbreviated to WLOG or WOLOG and less commonly stated as without any loss of generality) is a frequently used expression in mathematics. The term is used before an assumption in a proof which narrows the scope of analysis to some subset of possible instantiations of the premise; it is implied that the structure of the proof on this subset can be generalized to all others. Thus, through a subproof depending on a subset of the premise, we show that conclusions are proven to follow from the full premise