• Title/Summary/Keyword: abstract property

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COINCIDENCE THEOREMS ON A PRODUCT OF GENERALIZED CONVEX SPACES AND APPLICATIONS TO EQUILIBRIA

  • Park, Se-Hie;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.813-828
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    • 1999
  • In this paper, we give a Peleg type KKM theorem on G-convex spaces and using this, we obtain a coincidence theorem. First, these results are applied to a whole intersection property, a section property, and an analytic alternative for multimaps. Secondly, these are used to proved existence theorems of equilibrium points in qualitative games with preference correspondences and in n-person games with constraint and preference correspondences for non-paracompact wetting of commodity spaces.

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FEYNMAN-KAC SEMIGROUPS, MARTINGALES AND WAVE OPERATORS

  • Van Casteren, Jan A.
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.227-274
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    • 2001
  • In this paper we intended to discuss the following topics: (1) Notation, generalities, Markov processes. The close relationship between (generators of) Markov processes and the martingale problem is exhibited. A link between the Korovkin property and generators of Feller semigroups is established. (2) Feynman-Kac semigroups: 0-order regular perturbations, pinned Markov measures. A basic representation via distributions of Markov processes is depicted. (3) Dirichlet semigroups: 0-order singular perturbations, harmonic functions, multiplicative functionals. Here a representation theorem of solutions to the heat equation is depicted in terms of the distributions of the underlying Markov process and a suitable stopping time. (4) Sets of finite capacity, wave operators, and related results. In this section a number of results are presented concerning the completeness of scattering systems (and its spectral consequences). (5) Some (abstract) problems related to Neumann semigroups: 1st order perturbations. In this section some rather abstract problems are presented, which lie on the borderline between first order perturbations together with their boundary limits (Neumann type boundary conditions and) and reflected Markov processes.

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INFORMATION SEARCH BASED ON CONCEPT GRAPH IN WEB

  • Lee, Mal-Rey;Kim, Sang-Geun
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.333-351
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    • 2002
  • This paper introduces a search method based on conceptual graph. A hyperlink information is essential to construct conceptual graph in web. The information is very useful as it provides summary and further linkage to construct conceptual graph that has been provided by human. It also has a property which shows review, relation, hierarchy, generality, and visibility. Using this property, we extracted the keywords of web documents and made up of the conceptual graph among the keywords sampled from web pages. This paper extracts the keywords of web pages using anchor text one out of hyperlink information and makes hyperlink of web pages abstract as the link relation between keywords of each web page. 1 suggest this useful search method providing querying word extension or domain knowledge by conceptual graph of keywords. Domain knowledge was conceptualized knowledged as the conceptual graph. Then it is not listing web documents which is the defect of previous search system. And it gives the index of concept associating with querying word.

A Study on the Aging Characteristics of NEPE Propellants (NEPE 추진제의 노화 특성에 관한 연구)

  • 류백능;박명규;박영철
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1996.05a
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    • pp.141-146
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    • 1996
  • ABSTRACT : The aging characteristics of NEPE propellant is studied by HPLC analysis, cube crack test, swelling, and mechanical property test. The depletion of mixed stabilizer NMAI2-NDPA is analysed by Berthelot's law. The stabilizer NMA was completely comsumed after 16 weeks at $70{\circ}$ and after 6 weeks at $80{\circ}$ and the cracks developed in the sample. The aging trend of the propellant was shown hardening phenomena in the range of 20-$60{\circ}$ due to evaporation of energetic plasticizers.

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A Study on the Definitions of Some Geometric Figures (도형의 정의에 관한 한 연구)

  • Choe Young H.
    • The Mathematical Education
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    • v.6 no.2
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    • pp.1-9
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    • 1968
  • In mathematics, a definition must have authentic reasons to be defined so. On defining geometric figures, there must be adequencies in sequel and consistency in the concepts of figures, though the dimensions of them are different. So we can avoid complicated thoughts from the study of geometric property. From the texts of SMSG, UICSM and others, we can find easily that the same concepts are not kept up on defining some figures such as ray and segment on a line, angle and polygon on a plane, and polyhedral angle and polyhedron on a 3-dimensionl space. And the measure of angle is not well-defined on basis of measure theory. Moreover, the concepts for interior, exterior, and frontier of each figure used in these texts are different from those of general topology and algebraic topology. To avoid such absurdness, I myself made new terms and their definitions, such as 'gan' instead of angle, 'polygonal region' instead of polygon, and 'polyhedral solid' instead of polyhedron, where each new figure contains its interior. The scope of this work is hmited to the fundamental idea, and it merely has dealt with on the concepts of measure, dimension, and topological property. In this case, the measure of a figure is a set function of it, so the concepts of measure is coincided with that of measure theory, and we can deduce the topological property for it from abstract stage. It also presents appropriate concepts required in much clearer fashion than traditional method.

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