• 제목/요약/키워드: decompositions

검색결과 178건 처리시간 0.023초

LIE SEMIGROUPS IN O(2,2)

  • Choi, Keun-Bae;Lim, Yong-Do
    • East Asian mathematical journal
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    • 제19권2호
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    • pp.273-289
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    • 2003
  • We study $Ol'shanski\v{i}$ semigroups admitting triple decompositions in the Lie group O(2,2).

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CONSTRUCTIVE WAVELET COEFFICIENTS MEASURING SMOOTHNESS THROUGH BOX SPLINES

  • Kim, Dai-Gyoung
    • 대한수학회지
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    • 제33권4호
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    • pp.955-982
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    • 1996
  • In surface compression applications, one of the main issues is how to efficiently store and calculate the computer representation of certain surfaces. This leads us to consider a nonlinear approximation by box splines with free knots since, for instance, the nonlinear method based on wavelet decomposition gives efficient compression and recovery algorithms for such surfaces (cf. [12]).

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SOME PROBLEMS AND RESULTS ON CIRCUIT GRAPHS AND TRIANGULAR GRAPHS

  • Jung, Hwan-Ok
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.531-540
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    • 2008
  • We discuss the decomposition problems on circuit graphs and triangular graphs, and show how they can be applied to obtain results on spanning trees or hamiltonian cycles. We also prove that every circuit graph containing no separating 3-cycles can be extended by adding new edges to a triangular graph containing no separating 3-cycles.

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DECOMPOSITIONS OF GENERALIZED TRANSFORMATION SEMIGROUPS

  • Cho, Sung-Jin;Kim, Jae-Gyeom
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.227-238
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    • 1999
  • We introduce several decompositons of generalized trans-formation semigroups and investigate some of their algebraic struc-tures.

Several decompositions of fuzzy transformation semigroups

  • Cho, Sung-Jin;Kim, Han-Doo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.25-28
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    • 2001
  • We introduce sums and joins of fuzzy finite state machines and investigate their algebraic structures.

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TL-P*군의 몇가지 성질 (Some properties of TL-P* subgroups)

  • 김재겸;김한두
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.16-20
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    • 1998
  • We introduce the notion of TL-P*-subgroups which is an extension of the notion of TL-P*-subgroups and investigate basic properties of TL-P*-subgroups. And we consider decompositions of TL-subgroups.

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A P-HIERARCHICAL ERROR ESTIMATOR FOR A FEM-BEM COUPLING OF AN EDDY CURRENT PROBLEM IN ℝ3 -DEDICATED TO PROFESSOR WOLFGANG L. WENDLAND ON THE OCCASION OF HIS 75TH BIRTHDAY

  • Leydecker, Florian;Maischak, Matthias;Stephan, Ernst P.;Teltscher, Matthias
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권3호
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    • pp.139-170
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    • 2013
  • We extend a p-hierarchical decomposition of the second degree finite element space of N$\acute{e}$d$\acute{e}$lec for tetrahedral meshes in three dimensions given in [1] to meshes with hexahedral elements, and derive p-hierarchical decompositions of the second degree finite element space of Raviart-Thomas in two dimensions for triangular and quadrilateral meshes. After having proved stability of these subspace decompositions and requiring certain saturation assumptions to hold, we construct a local a posteriori error estimator for fem and bem coupling of a time-harmonic electromagnetic eddy current problem in $\mathbb{R}^3$. We perform some numerical tests to underline reliability and efficiency of the estimator and test its usefulness in an adaptive refinement scheme.