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throughout this dissertation r is a commutative ring with identity and m is a unitary r-module. in this dissertation we investigate submodules of multiplication , prufer and dedekind modules. we also stat the equivalent conditions for which is ring , wher l is a submodule of afaithful multiplication prufer module. we introduce the concept of integrally closed modules and show that faithful mu...
The definition of risk in surgical patients is a complex and controversial area. Generally risk is poorly understood and depends on past individual and professional perception, and societal norms. In medical use the situation is further complicated by practical considerations of the ease with which risk can be measured; and this seems to have driven much risk assessment work, with a focus on ob...
The distribution semantics is an approach for integrating logic programming and probability theory that underlies many languages and has been successfully applied in many domains. When the program has function symbols, the semantics was defined for special cases: either the program has to be definite or the queries must have a finite number of finite explanations. In this paper we show that it ...
This paper presents “strong” limits on the number of samples required for recovery in the domains of compressive sensing, matrix-completion and model-selection. In other words, the paper determines lower-bounds on systems parameters; where if these lower bounds are not met, then any recovery algorithm will be guaranteed to be erroneous with high probability. A common mathematical framework is p...
Hawking’s zeta function regularization procedure is shown to be rigorously and uniquely defined, thus putting and end to the spreading lore about different difficulties associated with it. Basic misconceptions, misunderstandings and errors which keep appearing in important scientific journals when dealing with this beautiful regularization method —and other analytical procedures— are clarified ...
let g=(v,e) be a graph with vertex set v and edge set e.for two vertices u,v of g ,the closed interval i[u,v] ,consists of u,v and all vertices lying in some u-v geodesic in g.if s is a set of vertices of g then i[s]is the union of all sets i[u,v]for u,v ? s. if i[s]=v(g) , then s is a geodetic set for g.the geodetic number g(g) is the minimum cardinality of geodetic set.the maximum cardinalit...
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
the current thesis is composed in five chapters in the following fashion: chapter two encompasses the applied framework of the project in details; the methodology of carl gustav jung to explain the process of individuation, the major archetypes and their attributes and his techniques to assess the mind’s strata are all explained. moreover, the austrian psychoanalysts, heinz kohut’s models of a...
We report on a series of human evaluations of the task of sentence fusion. In this task, a human is given two sentences and asked to produce a single coherent sentence that contains only the important information from the original two. Thus, this is a highly constrained summarization task. Our investigations show that even at this restricted level, there is no measurable agreement between human...
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