• Title/Summary/Keyword: transformation groups

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An Experimental Study of Reconstruction from Laser Diffraction Measurement for Axisymmetric Sprays (레이저 회절법을 이용한 축대칭 분무 구조의 공간 분포 변환에 관한 실험적 연구)

  • 양승연;이충훈;구자예;정석호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.1
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    • pp.10-16
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    • 2000
  • Spatially resolved liquid volume fractions from a set of line-of-sight laser diffraction measurements for axisymmetric sprays generated from a pintle-type gasoline injector have been tomographically reconstructed by Abel transformation, Fourier transformation and onion peeling method. Spatially resolved liquid volume fractions classified into 32 size groups were translated characteristics of SI engine fuel sprays. These data were also obtained from the phase Doppler measurements for the same sprays. The comparison between laser deffraction measurements and transformation reconstructs more reasonable spatially resolved characteristics for axisymmetric sprays as well as for asymmetric sprays.

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INTEGRAL KERNEL OPERATORS ON REGULAR GENERALIZED WHITE NOISE FUNCTIONS

  • Ji, Un-Cig
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.601-618
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    • 2000
  • Let (and $g^*$) be the space of regular test (and generalized, resp.) white noise functions. The integral kernel operators acting on and transformation groups of operators on are studied, and then every integral kernel operator acting on can be extended to continuous linear operator on $g^*$. The existence and uniqueness of solutions of Cauchy problems associated with certain integral kernel operators with intial data in $g^*$ are investigated.

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The reidemeister numbers on transformation groups

  • Ahn, Soo-Youp;Chung, In-Jae
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.445-455
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    • 1996
  • In this paper we study the Reidemeister number $R(f_G)$ for a self-map $f_G : (X, G) \to (X, G)$ of the transformation group (X,G), as an extenstion of the Reidemeister number R(f) for a self-map $f : X \to X$ of a topological space X.

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Normalized Term Frequency Weighting Method in Automatic Text Categorization (자동 문서분류에서의 정규화 용어빈도 가중치방법)

  • 김수진;박혁로
    • Proceedings of the IEEK Conference
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    • 2003.11b
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    • pp.255-258
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    • 2003
  • This paper defines Normalized Term Frequency Weighting method for automatic text categorization by using Box-Cox, and then it applies automatic text categorization. Box-Cox transformation is statistical transformation method which makes normalized data. This paper applies that and suggests new term frequency weighting method. Because Normalized Term Frequency is different from every term compared by existing term frequency weighting method, it is general method more than fixed weighting method such as log or root. Normalized term frequency weighting method's reasonability has been proved though experiments, used 8000 newspapers divided in 4 groups, which resulted high categorization correctness in all cases.

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