5,116 research outputs found

    Un model geometric al legaturilor directe dintre fenomenele economice

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    Abstract. In this paper we approach the issue of the evolution of economic phenomena that influence one another. First of all, we introduce a geometric model to establish whether there is a direct influence between two economic phenomena. After this, we find out the strength of this influence and, finally, we suggest a model for the form of this influence.Key words: economic phenomenon; evolution; development; increase; decrease

    Subfactors of index less than 5, part 1: the principal graph odometer

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    In this series of papers we show that there are exactly ten subfactors, other than AA_\infty subfactors, of index between 4 and 5. Previously this classification was known up to index 3+33+\sqrt{3}. In the first paper we give an analogue of Haagerup's initial classification of subfactors of index less than 3+33+\sqrt{3}, showing that any subfactor of index less than 5 must appear in one of a large list of families. These families will be considered separately in the three subsequent papers in this series.Comment: 36 pages (updated to reflect that the classification is now complete

    A planar calculus for infinite index subfactors

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    We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.Comment: 56 pages, many figure

    Temporary Composite Bonding Fixed Bridges

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    Esthetic composite bonding technique has had a great impact in the area of fixed prosthodontics, following the conservative techiques that are proving mainly successful in the replacing of a single tooth. In this way single anterior missing tooth are usually replaced. Further developments included efforts to increase the resistance of the bonding materials to cohesive fracture by the use of class III type preparations at the proximal surfaces of abutment teeth. With the current availability of visible - light - cured composite materials, these can be used efficiently to fabricate any of the all - resin bonded protheses.To use a bonded pontic in such applications a number of conditions must be met. First, the patient must understand the limitation of the restorations: lack of strength, and inability to function as a natural tooth. Second, the patient\u27s occlusion must be favorable: positive posterior occlusal support, absence of parafunctional habits and eccentric pattern of movement that permits the sharing of guidance responsibility by teeth not involved in the units of the bridge, particularly with respect to protrusive and lateral protrusive mandibular movements. The materials and techiques required to prepare and insert an all - resin bonded bridge are described and illustrated in the paper

    Spectral measures of small index principal graphs

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    The principal graph XX of a subfactor with finite Jones index is one of the important algebraic invariants of the subfactor. If Δ\Delta is the adjacency matrix of XX we consider the equation Δ=U+U1\Delta=U+U^{-1}. When XX has square norm 4\leq 4 the spectral measure of UU can be averaged by using the map uu1u\to u^{-1}, and we get a probability measure ϵ\epsilon on the unit circle which does not depend on UU. We find explicit formulae for this measure ϵ\epsilon for the principal graphs of subfactors with index 4\le 4, the (extended) Coxeter-Dynkin graphs of type AA, DD and EE. The moment generating function of ϵ\epsilon is closely related to Jones' Θ\Theta-series.Comment: 23 page

    Semi-regular masas of transfinite length

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    In 1965 Tauer produced a countably infinite family of semi-regular masas in the hyperfinite II1\mathrm{II}_1 factor, no pair of which are conjugate by an automorphism. This was achieved by iterating the process of passing to the algebra generated by the normalisers and, for each nNn\in\mathbb N, finding masas for which this procedure terminates at the nn-th stage. Such masas are said to have length nn. In this paper we consider a transfinite version of this idea, giving rise to a notion of ordinal valued length. We show that all countable ordinals arise as lengths of semi-regular masas in the hyperfinite II1\mathrm{II}_1 factor. Furthermore, building on work of Jones and Popa, we obtain all possible combinations of regular inclusions of irreducible subfactors in the normalising tower.Comment: 14 page

    New Testament Principles Governing the Relationship Between the Christian and Civil Authorities and Their Elaboration in the Writings of Ellen G. White with Their Reflection in the Adventist Church in Romania

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    No Abstract. This Doctor of Ministry Project report falls under the category described in the Seminary Bulletin as Project II, a paper completed in fulfillment of requirements for an alternate curriculum plan under which the candidate prepares two related papers—a theological position paper addressing some issue or problem that exists in the Seventh-day Adventist Church in a theological setting and a professional paper addressing this same issue or problem from the standpoint of ministerial practice
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