• 제목/요약/키워드: representations

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쌍일차 변환에 의한 부하평면 2-포트 매개변수의 그래픽적 표현에 관한 연구 (A Study on the Graphical Representations of the 2-Port Parameter on the Load Plane by the Bilinear Transformation)

  • 강원준;라극환
    • 전자공학회논문지A
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    • 제28A권9호
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    • pp.692-699
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    • 1991
  • In this paper, graphical representations of parameter variations affected by series or parallel feedback in the load plane were studied. As a result of transformations, all parameters of 2-port was converted to circles, and the step of noise circles and gain circles was 0.1 dB and 1dB, respectively. Compared with conventional commercial CAD softwares, the circuit design procedures could be verified much more systemically. This CAD was programmed in C-language and executed in IBM-PC with VGA graphic adaptor.

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SERIES REPRESENTATIONS FOR THE EULER-MASCHERONI CONSTANT $\gamma$

  • Choi, June-Sang;Seo, Tae-Young
    • East Asian mathematical journal
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    • 제18권1호
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    • pp.75-84
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    • 2002
  • The third important Euler-Mascheroni constant $\gamma$, like $\pi$ and e, is involved in representations, evaluations, and purely relationships among other mathematical constants and functions, in various ways. The main object of this note is to summarize some known series representaions for $\gamma$ with comments for their proofs, and to point out that one of those series representaions for $\gamma$ seems to be incorrectly recorded. A brief historical comment for $\gamma$ is also provided.

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DUALITY OF WEIGHTED SUM FORMULAS OF ALTERNATING MULTIPLE T-VALUES

  • Xu, Ce
    • 대한수학회보
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    • 제58권5호
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    • pp.1261-1278
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    • 2021
  • Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

REPRESENTATIONS OF n-FOLD CYCLIC BRANCHED COVERINGS OF (1, 1)-KNOTS UP TO 10 CROSSINGS AS DUNWOODY MANIFOLDS

  • Kim, Geunyoung;Lee, Sang Youl
    • East Asian mathematical journal
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    • 제38권1호
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    • pp.107-127
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    • 2022
  • In this paper, we discuss the relationship between doubly-pointed Heegaard diagrams of (1, 1)-knots in lens spaces and Dunwoody 3-manifolds, and then give explicit representations of n-fold cyclic branched coverings of all (1, 1)-knots in S3 up to 10 crossings in Rolfsen's knot table as Dunwoody 3-manifolds.

SOME DECOMPOSITION OF MODULAR $sp_4$(F)-MODULES USING DIMENSION FORMULA

  • Kim, Y.K.;Seo, G.S.;Won, S.Y.
    • 대한수학회보
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    • 제32권2호
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    • pp.191-200
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    • 1995
  • Simple Lie albegras over algebraically closed field with characteristic p > 7 were classified by H. Strade and R. L. Wilson in 1991 [7]. All modular representations of simple Lie algebras, however, are not classified although some restricted modular representations have been done earlier by Curtis and Steinberg. In connection with this, we would like to decompose basic $sp_4$(F)-modules $sl_4$-(F) and $gl_4$(F) over nonzero characteristic by way of characteristic zero case.

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