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词汇 Without loss of generality
分类 英语词汇 英语翻译词典
释义

Without loss of generality

中文百科

不失一般性

不失一般性(Without loss of generality,缩写:WLOG、WOLOG或w.l.o.g.)是数学中一个常见的表达。其被用在证明中将前提条件明确到个例上时,说明该个例能代表普遍情况,而非一种特例。

英语百科

Without loss of generality 不失一般性

Without loss of generality (often abbreviated to WOLOG, WLOG or w.l.o.g.; less commonly stated as without any loss of generality or with no loss of generality) is a frequently used expression in mathematics. The term is used before an assumption in a proof which narrows the premise to some special case; it implies that the proof for that case can be easily applied to all others, or that all other cases are equivalent or similar. Thus, given a proof of the conclusion in the special case, it is trivial to adapt it to prove the conclusion in all other cases.

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