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单词 Generic
释义

generic


A property that holds for all x in some residualPlanetmathPlanetmathPlanetmath subset of a Baire spacePlanetmathPlanetmath X is said to be genericPlanetmathPlanetmathPlanetmath in X, or to hold generically in X. In the study of generic properties, it is common to state “generically, P(x)”, where P(x) is some propositionPlanetmathPlanetmath about xX. The useful fact about generic properties is that, given countably many generic properties Pn, all of them hold simultaneously in a residual set, i.e. we have that, generically, Pn(x) holds for each n.

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更新时间:2025/5/4 16:11:19