• 제목/요약/키워드: property (M)

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REAL HYPERSURFACES IN THE COMPLEX HYPERBOLIC QUADRIC WITH CYCLIC PARALLEL STRUCTURE JACOBI OPERATOR

  • Jin Hong Kim;Hyunjin Lee;Young Jin Suh
    • 대한수학회지
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    • 제61권2호
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    • pp.309-339
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    • 2024
  • Let M be a real hypersurface in the complex hyperbolic quadric Qm*, m ≥ 3. The Riemannian curvature tensor field R of M allows us to define a symmetric Jacobi operator with respect to the Reeb vector field ξ, which is called the structure Jacobi operator Rξ = R( · , ξ)ξ ∈ End(TM). On the other hand, in [20], Semmelmann showed that the cyclic parallelism is equivalent to the Killing property regarding any symmetric tensor. Motivated by his result above, in this paper we consider the cyclic parallelism of the structure Jacobi operator Rξ for a real hypersurface M in the complex hyperbolic quadric Qm*. Furthermore, we give a complete classification of Hopf real hypersurfaces in Qm* with such a property.

고속 M-Gold-Hadamard 시퀀스 트랜스폼 (On Fast M-Gold Hadamard Sequence Transform)

  • 이미성;이문호;박주용
    • 대한전자공학회논문지TC
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    • 제47권7호
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    • pp.93-101
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    • 2010
  • 본 논문에서는 GF(2)에서의 두 생성다항식에 의해 생성된 M-sequence로 Gold-Sequence를 생성한 후, Permutation을 해줌으로써 Hadamard 행렬의 특성을 가지게 됨을 살펴보았다. M-sequence는 선형 귀환 천이 레지스터 부호 생성기(Linear feedback shift register code generator)에 의해 생성되었으며, 두 개의 M-sequence에 의해 생성된 Gold-sequence의 첫 열에 $8\times1$의 영행렬을 추가하고 Permutation을 시켜줌으로써 Hadamard 행렬의 주요 성질인 직교성(Orthogonal)과 한 행렬과 이 행렬의 Transpose시킨 행렬의 결과가 단위행렬이 되고, 역행렬은 element-wise Inverse가 되며, 고속 Jacket행렬의 성질을 만족한다. 또한 선형 귀환 축차 생성기를 통하여 생성된 M-sequence의 1행과 1열을 추가함으로써 위에서 언급한 Hadamard 행렬의 주요 성질을 만족하고 L-matrix 와 S-matrix 를 통하여 고속변환이 가능함을 보인다.

도착시점방법에 의한 M/Gb/1 대기행렬의 분석 (Analysis of the M/Gb/1 Queue by the Arrival Time Approach)

  • 채경철;장석호;이호우
    • 대한산업공학회지
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    • 제28권1호
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    • pp.36-43
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    • 2002
  • We analyze bulk service $M/G^{b}/1$ queues using the arrival time approach of Chae et al. (2001). As a result, the decomposition property of the M/G/1 queue with generalized vacations is extended to the $M/G^{b}/1$ queue in which the batch size is exactly a constant b. We also demonstrate that the arrival time approach is useful for relating the time-average queue length PGF to that of the departure time, both for the $M/G^{b}/1$queue in which the batch size is as big as possible but up to the maximum of constant b. The case that the batch size is a random variable is also briefly mentioned.

토양의 침식과 보존에 관한 이론적 분석 2. 토양침식의 내성에 관한 이론 (The Theoretical Analyses of the Soil Erosion and Conservation 2. The Theoretical Expresion of Erosion Tolerance for the Soil Conservation)

  • 장남기
    • 아시안잔디학회지
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    • 제10권1호
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    • pp.31-40
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    • 1996
  • The mechanical expresion provides for the use of Soil property reserves and permanent protec-tion or improvement of soil resources in accordance with measurable standards. If the functions I (initial soil property), E (soil erosion), R (soil renewal), and M. (minimum allowable value) are assumed to be integrable in region A, erosion tolerance over a region is leaded to ${\int}_A{\int}I(m, cl, re, ch, b)dA-{\int}_A{\int}{\{\int}_{to}^{\infty}[E(w, re, c, re, ch, b, t)-R(m, ch, re, b, t)]dt}\dA{\geqq}{\int}_A{\int}M_i(m, cl, re, ch, b)dA$ were variable factors are m=parent material of soil, cl=climate, re=relief or topography, ch=soil characteristics, r=rain or water, w=wind, b=biota, and t=time.

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ON CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENT PROPERTY OF UPPER RECORD VALUES

  • Lee, Min-Young;Lim, Eun-Hyuk
    • 충청수학회지
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    • 제24권1호
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    • pp.85-89
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    • 2011
  • We present characterizations of the Pareto distribution by the independent property of upper record values in such a way that F(x) has a Pareto distribution if and only if $\frac{X_{U(n)}}{X_{U(m)}}$ and $X_{U(m)}$ are independent for $1{\leq}m. Futhermore, the characterizations should find that F(x) has a Pareto distribution if and only if $\frac{X_{U(n)}}{X_{U(n)}{\pm}X_{U(m)}}$ and $X_{U(m)}$ are independent for $1{\leq}m.

무가압 침투법에 의해 제조된 $Al-5Mg-X(Si,Cu,Ti)/SiC_p$ 복합재료의 조직 및 마멸특성 (Microstructure and Wear Property of $Al-5Mg-X(Si,Cu,Ti)/SiC_p$ Composites Fabricated by Pressureless Infiltration Method)

  • 우기도;김석원;안행근;정진호
    • 한국주조공학회지
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    • 제20권4호
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    • pp.254-259
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    • 2000
  • Metal matrix composites(MMCs) reinforced with hard particles have many potential application in aerospace structures, auto parts, semiconductor package, heat resistant panels, wear resistant materials and so on. In this work, the effect of SiC partioel sizes(50 and 100 ${\mu}m$) and additional elements such as Si, Cu and Ti on the microstructure and the wear property of $Al-5Mg-X(Si,Cu,Ti)/SiC_p$ composites produced by pressureless infiltration method have been investigated using optical microscopy, scanning eletron microcopy(SEM) with EDS(energy dispersive spectrometry), hardness test, X-ray diffractometer(XRD) and wear test. In present study, the sound $Al-5Mg-X(Si,Cu,Ti)/SiC_p$(50 and 100 ${\mu}m$) composites were fabricated by pressureless infiltration method. The $Al-5Mg-0.3Si-O.1Cu-O.1Ti/SiC_p$ composite with $50 {\mu}m$ size of SiC particle has higher hardness and better wear property than any other composite with $100{\mu}m$ size of SiC particle produced by pressureless infiltration method. The hardness and wear property of $Al-5Mg/SiC_p$(50 and 100 ${\mu}m$) composites were enhanced by the addition of Si, Cu and Ti in Al-5%Mg matrix alloy.

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The Properties of Uniform Probabilistic Relaxation System

  • Lim, Gi Y.;M.N. Fu, Alan;Hong, Yan
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.413-416
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    • 1998
  • In this paper we first show that uniform PR systems and half independent PR systems have same dynamics, and then an important property of this two kinds of systems is derived. The most important property of uniform PR systems is that they have the ability of classifying m-dimensional problabilistic vector into in classes. The significance of studying the dynamics of uniform PR systems are tried from the beginning with a uniform PR system.

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THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

  • Nishinobu, Hirokazu;Yamaguchi, Toshihiro
    • 대한수학회논문집
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    • 제29권4호
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    • pp.569-579
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    • 2014
  • We consider a condition under which the projectivization $P(E^k)$ of a complex k-bundle $E^k{\rightarrow}M$ over an even-dimensional manifold M can have the hard Lefschetz property, affected by [10]. It depends strongly on the rank k of the bundle $E^k$. Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.