generic

A property that holds for all $x$ in some residual subset of a Baire space $X$ is said to be generic 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 proposition about $x\\in X$ . The useful fact about generic properties is that, given countably many generic properties $P_{n}$ , all of them hold simultaneously in a residual set, i.e. we have that, generically, $P_{n}(x)$ holds for each $n$ .

单词	Generic
释义	generic A property that holds for all $x$ in some residual subset of a Baire space $X$ is said to be generic 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 proposition about $x\\in X$ . The useful fact about generic properties is that, given countably many generic properties $P_{n}$ , all of them hold simultaneously in a residual set, i.e. we have that, generically, $P_{n}(x)$ holds for each $n$ .
随便看	SieveOfEratosthenes1 sigmaalgebra sigmaalgebra1 sigmaalgebraAtAStoppingTime sigmaalgebraGeneratedByARandomVariable sigmacompact SigmaDeltaConstant sigma, delta constant SigmaDerivation sigma derivation sigmafinite sigmaFunction SigmaringOfSets sigma–ring of sets Signature signature SignatureOfAPermutation signature of a permutation SignedMeasure signed measure SignRelation sign relation SignRelationalComplex sign relational complex SignumFunction