• 제목/요약/키워드: Set functions

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보편적인 기저함수를 이용한 중앙면상의 머리전달함수 모델링 (Modeling of Median-plane Head-related Impulse Responses Using a Set of General Basis Functions)

  • 황성목;박영진;박윤식
    • 한국소음진동공학회논문집
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    • 제18권4호
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    • pp.448-457
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    • 2008
  • A principal components analysis (PCA) of the median-plane head-related impulse responses (HRIRs) in the CIPIC HRTF database reveals that the individual HRIRs in the median plane can be adequately reconstructed by a linear combination of 12 orthonormal basis functions. These basis functions can be used to model arbitrary median-plane HRIRs, which are not included in the process to obtain the basis functions. Memory size can be reduced up to 5-fold depending on the number of HRIRs to be modeled. To clarify whether these basis functions can be used to model other set of arbitrary median plane HRIRs, a numerical error analysis for modeling and a series of subjective listening tests were carried out using the measured and modeled HRIRs. The results showed that the set of individual HRIRs in the median plane, which were measured in our lab using different measurement conditions, techniques, and source positions, can be modeled with reasonable accuracy. All subjects, involved in the subjective listening test, reported not only the accurate vertical perception but also the front-back discrimination with the modeled HRIRs based on 12 basis functions.

FUZZY SET CONNECTED FUNCTIONS

  • Chae, G.I.;Thakur, S.S.;Malviya, R.
    • East Asian mathematical journal
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    • 제23권1호
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    • pp.103-110
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    • 2007
  • The purpose of this paper is to introduce the concept of fuzzy set connected functions and investigate their properties.

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Iterative Algorithm for Multiobjective Optimization with Set Functions

  • Lee, Jun-Yull;Kim, Sang-Hyeun;Lee, Jae-Hak
    • 한국수학교육학회지시리즈A:수학교육
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    • 제30권1호
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    • pp.35-42
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    • 1991
  • Multiobjective Optimisation problem involving set functions is introduced. Then an iterative algorithm for these kinds of problems is suggested and its optimal process will be proved.

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NOTES ON NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A SET WITH THEIR DERIVATIVES

  • Li, Xiao-Min;Yi, Hong-Xun;Wang, Kai-Mei
    • 대한수학회보
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    • 제51권6호
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    • pp.1773-1789
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    • 2014
  • We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.