second isomorphism theorem 第二同构定理 first homotopy theorem 第一同类定理 first mean value theorem 第一均值定理 first classification theorem 第一分伦定理 Harnack s first convergence theorem 哈拿克第一收敛定理 inner isomorphism 内同构 isomorphism invariant 同构不变量 相似...
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first isomorphism theoremDifferent properties of rings and fields are discussed [12], [41] and [17]. We introduce ring homomorphisms, their kernels and images, and prove the First Isomorphism Theorem, namely that for a homomorphism f : R → S we have R/ker(f) ≅ Im(f). Then we ...
In Jones' set- ting, this hinders the definition of natural isomorphisms between some structurally equivalent, yet distinct datatypes, obstructing separate development without some prior agreement on datatype definitions. For example, when distinct datatypes t1 and t2 encode the same mixed-prefix type...
On the other hand, if V = R and if ∆ is chosen quite large, for example ∆ = RR, then the intuition of variables with zero variance strongly suggests that X —> EX should be an isomorphism for suitable V, i.e. that the only V-valued extensive quantities that are so highly hom...
This is more or less equivalent to the claim that the natural inclusion induces an isomorphism from to the Lie algebra of primitive elements of , which can be proven using the PBW theorem. Hence Lie algebras embed as a full subcategory of Hopf algebras; that is, they can be thought of ...
Theorem A.4The tensor functor of Theorem A.1 is an equivalence of braided tensor categories.Let be a braided strict tensor category with left duality. A twist for is a functorial isomorphism θV:V→V defined for each object of such that...
A First-Order Isomorphism Theoremdoi:10.1007/3-540-56503-5_19Eric AllenderU Polit ecnica De CatalunyaNeil Immerman
A first-order isomorphism theorem. SIAM Journal of Computing, 26, 557-567, 1997.E. Allender, J. Balcazar, N. Immerman, A first-order isomorphism theorem, SIAM J. Comput. 26 (2) (1997) 557-567.A first-order isomorphism theorem - Allender, Balcazar, et al. - 1997...