• Title/Summary/Keyword: sequences

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THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS

  • Dargomir, S.S.
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.75-92
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    • 2004
  • A generalised integration by parts formula for sequences of absolutely continuous functions that satisfy the ${\omega}-Appell$ condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.

THE COMPLETENESS OF CONVERGENT SEQUENCES SPACE OF FUZZY NUMBERS

  • Choi, Hee Chan
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.117-124
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    • 1996
  • In this paper we define a new fuzzy metric $\tilde{\theta}$ of fuzzy number sequences, and prove that the space of convergent sequences of fuzzy numbers is a fuzzy complete metric space in the fuzzy metric $\tilde{\theta}$.

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ON DOUBLE EXACT SEQUENCES

  • Myung, Sung
    • Korean Journal of Mathematics
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    • v.16 no.2
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    • pp.123-134
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    • 2008
  • In the present article, we give a description of a chain complex of a cyclic cohomology type proposed by Grayson, which is constructed from the double exact sequences of an exact category. We also provide some results which relate it with motivic cohomology of a smooth scheme over a field.

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RELATIONS OF SHORT EXACT SEQUENCES CONCERNING AMALGAMATED FREE PRODUCTS

  • Shin, Woo Taeg
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.217-226
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    • 2006
  • In this paper, we investigate the mutual relation among short exact sequences of amalgamated free products which involve augmentation ideals and relation modules. In particular, we find out commutative diagrams having a steady structure in the sense that all of their three columns and rows are short exact sequences.

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AN UPPER BOUND OF THE RECIPROCAL SUMS OF GENERALIZED SUBSET-SUM-DISTINCT SEQUENCE

  • Bae, Jaegug
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.223-230
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    • 2008
  • In this paper, we present an upper bound of the reciprocal sums of generalized subset-sum-distinct sequences with respect to the first terms of the sequences. And we show the suggested upper bound is best possible. This is a kind of generalization of [1] which contains similar result for classical subset-sum-distinct sequences.

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Analysis of Frequency Hopping Signals using Wavelet Transform-Based Scalogram (Wavelet 변환기저 Scalogram을 이용한 주파수 도약신호 분석)

  • 박재오;이정재
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.08a
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    • pp.45-48
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    • 2000
  • In this paper algorithms of frequency hopping sequences generation such as Lempel-Greenberger, optimum Lempel-Greenberger and Kumar sequences for spread spectrum communications are described. Using the scalogram based on wavelet transform, time-frequency characteristics of frequency hopped signals corresponding to the considered hopping sequences are analyzed.

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