• 제목/요약/키워드: L-S theory

검색결과 406건 처리시간 0.022초

THE HARMONIC ANALYSIS ASSOCIATED TO THE HECKMAN-OPDAM'S THEORY AND ITS APPLICATION TO A ROOT SYSTEM OF TYPE BCd

  • Trimeche, Khalifa
    • Korean Journal of Mathematics
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    • 제27권1호
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    • pp.221-267
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    • 2019
  • In the five first sections of this paper we define and study the hypergeometric transmutation operators $V^W_k$ and $^tV^W_k$ called also the trigonometric Dunkl intertwining operator and its dual corresponding to the Heckman-Opdam's theory on ${\mathbb{R}}^d$. By using these operators we define the hypergeometric translation operator ${\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, and its dual $^t{\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, we express them in terms of the hypergeometric Fourier transform ${\mathcal{H}}^W$, we give their properties and we deduce simple proofs of the Plancherel formula and the Plancherel theorem for the transform ${\mathcal{H}}^W$. We study also the hypergeometric convolution product on W-invariant $L^p_{\mathcal{A}k}$-spaces, and we obtain some interesting results. In the sixth section we consider a some root system of type $BC_d$ (see [17]) of whom the corresponding hypergeometric translation operator is a positive integral operator. By using this positivity we improve the results of the previous sections and we prove others more general results.

비대칭 복합적층판 의 Warping 해석 (Warping Analysis of Unsymmetric Laminated Composites)

  • 전완주;홍창선
    • 대한기계학회논문집
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    • 제7권4호
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    • pp.404-409
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    • 1983
  • The warping of unsymmetric laminated composites is induced by residual curing stress at the room temperature. Classical lamination theory (C.L.T.) predicts the room temperature shapes of all unsymmetric laminates to be a saddle. Experimental observations, however, indicate some unsymmetric laminated composites have cylindrical room temperature shapes. This anomalous behavior is explained by the extention of C.L.T. which involves Von Karman's large deflection theory. It is shown that, depending on the thickness, width, length, curing temperature and room temperature of the laminate, critical boundaries of the shape change are determined. Theoretical predictions are compared with experimental results of Toray Graphite/Epoxy {O$_{n}$/90$_{n}$}$_{T}$./....

Fuzzy Set Theory와 Analytic Hierarchy Process를 이용한 서비스품질 측정 (Measurement of Service Quality Using Fuzzy Set Theory and Analytic Hierarchy Process)

  • 이회식;유춘번;최용정;정해준;김유라
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2006년도 추계 학술대회
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    • pp.236-242
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    • 2006
  • 세계적으로 각 분야에서 SERVQUAL 모형과 SERVPERF 모형 등을 이용한 서비스품질에 대한 측정과 관련된 연구들이 많이 수행되어 오고 있지만 서비스품질을 계량화시키기 위한 연구는 활성화되고 있지 못하는 상황이다. 따라서, 본 연구의 목적은 불확실하고 주관적인 환경에서 서비스품질을 객관성있게 측정하고 계량화시키기 위해서 L.A. Zadeh가 제안한 퍼지이론의 Triangular Fuzzy Number(TFN) 와 T.L. Saaty가 제안한 Analytic Hierarchy Process (AHP)를 이용하여 서비스품질을 측정하기 위한 방법을 제안하는 것이고, 본 연구를 통해서 조직의 제한적 자원으로 고객만족 극대화를 실현하기 위한 경쟁우위적 전략의 일환으로써 서비스품질을 제고시키는데 효율적이며 효과적인 의사결정안이 도출될 것으로 사료된다.

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AN EXTERESION THEOREM FOR THE FOLLAND-STEIN SPACES

  • Kim, Yonne-Mi
    • 대한수학회논문집
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    • 제10권1호
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    • pp.49-55
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    • 1995
  • This paper is the third of a series in which smoothness properties of function in several variables are discussed. The germ of the whole theory was laid in the works by Folland and Stein [4]. On nilpotent Lie groups, they difined analogues of the classical $L^p$ Sobolev or potential spaces in terms of fractional powers of sub-Laplacian, L and extended several basic theorems from the Euclidean theory of differentaiability to these spaces: interpolation properties, boundedness of singular integrals,..., and imbeding theorems. In this paper we study the analogue to the extension theorem for the Folland-Stein spaces. The analogue to Stein's restriction theorem were studied by M. Mekias [5] and Y.M. Kim [6]. First, we have the space of Bessel potentials on the Heisenberg group introduced by Folland [4].

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Learning from the L2 Expository Text

  • Kim, Jung-Tae
    • 영어어문교육
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    • 제10권3호
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    • pp.21-40
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    • 2004
  • This study Questioned what happens in L2 reading comprehension of the expository text, as measured by recall and inference-making abilities, when a L2 reader was induced to develop a content schema about the topic of a target text, but the structure of that schema departs from the structure of the target text Seventy-four. Korean university students read either the same version text twice (consistent condition) or two different version texts (inconsistent condition) with a three-day interval between the two readings. The results of a verification test indicate that, for those subjects with higher L2 reading proficiency, the inconsistent condition was more beneficial than the consistent condition for the inference-making task. On the other hand, for lower-level L2 readers, the consistent condition was more favorable for the recall task. It was concluded that inducing a structurally inconsistent schema through an L2 pre-reading would be beneficial only when the reader's L2 linguistic ability is proficient enough to produce necessary propositions from the pre-reading.

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LOCAL SPECTRAL THEORY II

  • YOO, JONG-KWANG
    • Journal of applied mathematics & informatics
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    • 제39권3_4호
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    • pp.487-496
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    • 2021
  • In this paper we show that if A ∈ L(X) and B ∈ L(Y), X and Y complex Banach spaces, then A ⊕ B ∈ L(X ⊕ Y) is subscalar if and only if both A and B are subscalar. We also prove that if A, Q ∈ L(X) satisfies AQ = QA and Qp = 0 for some nonnegative integer p, then A has property (C) (resp. property (𝛽)) if and only if so does A + Q (resp. property (𝛽)). Finally, we show that A ∈ L(X, Y) and B, C ∈ L(Y, X) satisfying operator equation ABA = ACA and BA ∈ L(X) is subscalar with property (𝛿) then both Lat(BA) and Lat(AC) are non-trivial.

WEYL'S TYPE THEOREMS FOR ALGEBRAICALLY (p, k)-QUASIHYPONORMAL OPERATORS

  • Rashid, Mohammad Hussein Mohammad;Noorani, Mohd Salmi Mohd
    • 대한수학회논문집
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    • 제27권1호
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    • pp.77-95
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    • 2012
  • For a bounded linear operator T we prove the following assertions: (a) If T is algebraically (p, k)-quasihyponormal, then T is a-isoloid, polaroid, reguloid and a-polaroid. (b) If $T^*$ is algebraically (p, k)-quasihyponormal, then a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$, where $Hol({\sigma}(T))$ is the space of all functions that analytic in an open neighborhoods of ${\sigma}(T)$ of T. (c) If $T^*$ is algebraically (p, k)-quasihyponormal, then generalized a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$. (d) If T is a (p, k)-quasihyponormal operator, then the spectral mapping theorem holds for semi-B-essential approximate point spectrum $\sigma_{SBF_+^-}(T)$, and for left Drazin spectrum ${\sigma}_{lD}(T)$ for every $f{\in}Hol({\sigma}T))$.

선체주위(船體周圍)의 유선계산법(流線計算法)에 관(關)한 연구(硏究) (A Study on the Stream Lines Calculation around a Ship's Hull)

  • 조규종;홍성완;박찬원
    • 대한조선학회지
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    • 제14권2호
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    • pp.1-9
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    • 1977
  • Streamlines around a ship's hull can be calculated by using streamline tracing method replacing the ship section with distribution of singularity. The influence of frame lines on the stream surrounding a hull surface, however, can not be found. Jinnaka studied on streamlines for Lewis form by applying the slender body theory. The influence of frame lines on stream surrounding a hull surface is well found in Jinnaka's method. In this paper streamline calculation method for chine type has been developed by using conformal transformation and applying slender body theory as Jinnaka did. Three kinds of model-one of series 62 for chine type, V.L.C.C. and high speed craft built in Korea for Lewis form-were used for streamline calculation;

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Synthesis, Crystal Structure and Theoretical Calculation of a Novel Nickel(II) Complex with Dibromotyrosine and 1,10-Phenanthroline

  • Huang, Guimei;Zhang, Xia;Fan, Yuhua;Bi, Caifeng;Yan, Xingchen;Zhang, Zhongyu;Zhang, Nan
    • Bulletin of the Korean Chemical Society
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    • 제34권10호
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    • pp.2889-2894
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    • 2013
  • A new complex [$Ni(phen)(C_9H_8Br_2NO_3)_2{\cdot}2CH_3OH{\cdot}2H_2O$] [phen: 1,10-phenanthroline $C_9H_8Br_2NO_3$: 3,5-dibromo-L-tyrosine] was synthesized and characterized by IR, elemental analysis and single crystal X-ray diffraction. X-ray crystallography shows that Ni(II) ion is six-coordinated. The Ni(II) ion coordinates with four nitrogen atoms and two oxygen atoms from three ligands, forming a mononuclear Ni(II) complex. The crystal crystallizes in the Orthorhombic system, space group $P2_12_12$ with a = 12.9546 ${\AA}$, b = 14.9822 ${\AA}$, c = 9.9705 ${\AA}$, V = 1935.2 ${\AA}$, Z = 1, F(000) = 1008, S = 0.969, ${\rho}_{calcd}=1.742g{\cdot}cm^{-3}$, ${\mu}=4.688mm^{-1}$, $R_1$ = 0.0529 and $wR_2$ = 0.0738 for 3424 observed reflections (I > $2{\sigma}(I)$). Theoretical study of the title complex was carried out by density functional theory (DFT) method and the B3LYP method employing the $6-3l+G^*$ basis set. The energy gap between HOMO and LUMO indicates that this complex is prone to interact with DNA. CCDC: 908041.

프랙탈 이론을 이용한 433MHz 대역의 RFID 태그 안테나 개발 (Development of 433MHz RFID Tag Antenna using Fractal Theory)

  • 박동국;조익현;양규식
    • 한국정보통신학회논문지
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    • 제12권3호
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    • pp.420-426
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    • 2008
  • 본 논문에서 는 컨테이너용 RFID로 이용할 수 있는 433MHz 대역의 RFID 태그용 안테나를 제안하고자 한다. 마이크로스트립 형태로 안테나를 제작하였고, 프랙탈 이론을 적용하여 크기를 축소할 수가 있었다. 시뮬레이션을 통해 433MHz 주파수에서 반사손실이 -20.9dB, 이득이 -3dB를 가지는 것을 확인하였다. 그러나 시뮬레이션 결과와 제작된 안테나의 측정결과에는 약간의 차이가 있었으나, 급전부 위치를 수정하여 반사손실을 -l5dB 되도록 하여 설계 제작된 안테나의 실용 가능성을 입증할 수 있었다.