Определение without loss of generality в Английский Язык Турецкий язык словарь
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Определение without loss of generality в Английский Язык Английский Язык словарь
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