منابع مشابه
On the non-uniqueness of elastic rotations for deformations of materials with elastic range
ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMATIONS OF MATERIALS WITH ELASTIC RANGE by David R. Owen In this note precise definitions of the concepts of permanent deformation, annealed state, and non-softening material are used to establish non-uniqueness of elastic rotations for deformations of certain materials with elastic range. ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMA...
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Each Gr-category (or categorical group) is Gr-equivalent to a Grcategory of type (Π, A, ξ), where Π is a group, A is a Π-module and ξ is a 3-cocycle of Π, with coefficients in A. In this paper, first we show that each Gr-functor induces one between Gr-categories of type (Π, C). Then we give results on the existence of Gr-functor and the classification of Gr-functors by cohomology groups H(Π, C)...
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This paper is an up-to-date introduction to the problem of uniqueness versus non-uniqueness of infinite clusters for percolation on Z d and, more generally, on transitive graphs. For iid percolation on Z, uniqueness of the infinite cluster is a classical result, while on certain other transitive graphs uniqueness may fail. Key properties of the graphs in this context turn out to be amenability ...
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Each Gr-functor of the type (φ, f) of a Gr-category of the type (Π, C) has the obstruction be an element k ∈ H(Π, C). When this obstruction vanishes, there exists a bijection between congruence classes of Gr-functors of the type (φ, f) and the cohomology group H(Π,C). Then the relation of Gr-category theory and the group extension problem can be established and used to prove that each Gr-catego...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2015
ISSN: 1029-8479
DOI: 10.1007/jhep10(2015)037