without loss of generality

English - Turkish

Definition of without loss of generality in English Turkish dictionary: Yapılan varsayımın probleme yeni kısıtlamalar getirmemesi durumunda kullanılan ifade

English - English

Definition of without loss of generality in English English dictionary: 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 (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; wlog

without loss of generality

Hyphenation

with·out loss of gen·er·al·i·ty

wîdhaut lôs ıv cenırälıti

/wəᴛʜˈout ˈlôs əv ˌʤenərˈalətē/ /wɪðˈaʊt ˈlɔːs əv ˌʤɛnɜrˈælətiː/

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