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On iso-relativistic theories and general connections
AIP Conference Proceedings, 2012The question wether geometrical formulations of gravity based on general connections, as introduced some time ago by Otsuki, can be interpreted as particular cases of iso-relativistic structures is analized. We show that, in sharp contrast with the Finsler theory or theories based on the generalization of the metric as a way of going beyond GR, that ...
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The connecting homomorphism for K-theory of generalized free products
Geometriae Dedicata, 2010In the paper the author considers a category \(\mathcal C\) with cofibrations and two subcategories of weak equivalences, \(v{\mathcal C} \subset w{\mathcal C} .\) Let \({\mathcal C}^{w}\) denote the subcategory with cofibrations of \({\mathcal C}\) which consists of the objects \(A\) of \({\mathcal C}\) such that the map \(* \rightarrow A\) is in \(w{\
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Gravitation and Cosmology, 2013
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Generalized adiabatic connection in density functional theory
The Journal of Chemical Physics, 1998A generalized adiabatic connection is developed for density functional theory. The method extends the well-known adiabatic connection formula and provides a general link between the Kohn–Sham and the physical system. When the complimentary error function is used as a special case, the expression for the exchange-correlation functional does not have the
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General Theory of Unary Intensional Connectives
1976Unary connectives are of special interest as many known intensional operators such as necessity, tense operators, statability operators etc. are unary. We therefore begin with the study of the general properties of one unary connective. Our plan is to study various possible N-logical systems X, with one unary connective and analyse their corresponding ...
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On a generalized Pexider equation connected with the iteration theory
Publicationes Mathematicae Debrecen, 1996The Pexider equation in question \[ F_{st}=k_{st}\circ H_s\circ G_t,\quad (s,t)\in D(K)\tag{P} \] is called ``iterative'' since there appear compositions of unknown functions. Here \(K\) is a nonvoid groupoid with multiplicatively written binary operation defined on \(D(K)^2\), \(D(K)\subset K\); \(k_t\) are given bijections of a set \(Z\neq\emptyset\)
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Reflection on Organization Theory: Connecting General System Theory to Open Systems Theory
SSRN Electronic Journal, 2015In this reflection, this paper seeks to highlight the interconnectedness of Bertalanfyy's (1950) General System Theory to Open Systems Theory (Fu & Kirk, 199). In doing this, I define and explain the General System Theory conceptualized by Ludwig von Bertalanfyy in the 1950s and its interconnectedness to Fu and Kirk's (1999) model of open systems.
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Serre Fibering. General Theory of Connection. Corollaries
1997In his (classical now) Ph.D. thesis Homologie singuliere des espaces fibres. Applications, Ann. of Math. 54 (1951), 425–501, which, at that time, electrified the mathematical world, very young Jean-Pierre Serre (born in 1926) turn the things upside down: He takes the axiom of covering homotopy as the definition of a fiber space. In section 2 of chapter
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