• 제목/요약/키워드: symmetric space

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균일 열부가 하중을 받는 사각판의 자유 진동특성 연구 Part I. 이론 및 유한요소 해석 (Free Vibration Characteristics of the Rectangular Plates under Uniform Thermal Loading Part I. Analytic and FEM analysis)

  • 전병희;강휘원;이영신
    • 한국항공우주학회지
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    • 제39권2호
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    • pp.97-105
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    • 2011
  • 본 논문에서는 균일 열부가 하중을 받는 사각판의 자유 진동특성을 중첩법에 의한 수치해석과 유한요소 해석을 통하여 연구하였다. 사각판의 재질은 알루미늄, 강재 및 스테인레스강 이다. 부가한 온도 조건은 상온에서부터 $300^{\circ}C$까지 부가하였고, 경계조건은 자유-자유 조건이다. 완전 대칭 모드, 완전 역대칭 모드 및 대칭-역대칭 모드에 대한 해석이 수행되었다.

조선시대 궁궐공간의 관념적 구성에 관한 연구 (A study on the ideological structure of palace space in Josun period)

  • 김영모;최기수
    • 한국조경학회지
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    • 제25권4호
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    • pp.141-157
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    • 1998
  • It has been general view to Josun palace space that the Kyongbok palace, a main palace, is arranged with symmetric geometrical composition principles and, unlikely main palace, sub-palaces such as Changduk, Changkyong and Kyonghee palace are placed in organic structure adapted to natural land form. With that view, there are no common factors to be considered between these palace, main and sub palace, in composting principles of the space. In this study, because of same ideological period, although there is external difference of that palaces, that common ideological principles are projected to these two palaces types through compositing space is assumed. On this hypostasis, this study has been focused on finding the ideological principles projected to these palace space commonly. As result of study, some of them are considered as common principles; Firstly, they are arranged in the text of contents through the way of naming to building, enterence and so on. The second point is ; it is viewed that the Oheung and symmetric arrangement method based on Oheung are used in compositing of palace space. The third is ; through analizing central space of Kyongbok palace, it is analized that oneness composition principles, which are based on the theory of Umyangheong, are projected to different palace space commonly.

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동식물의 나선속의 하중(荷重) Hadamard Transform : 대칭과 Element-wise Inverse 행렬 (Weighted Hadamard Transform in the Helix of Plants and Animals :Symmetry and Element-wise Inverse Matrices)

  • 박주용;김정수;이문호
    • 한국인터넷방송통신학회논문지
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    • 제16권6호
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    • pp.319-327
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    • 2016
  • 본 논문에서는 나무나 염소 뿔처럼 대부분의 동식물이 대칭임을 살펴본다. 또한 DNA를 가지고 있는 인간의 신체 역시 대칭이다. 피보나치수열, 식물의 나선, 동물의 대수 나선에서 볼 수 있는 것은 대칭이다. 해바라기 꽃은 원형이다. 원(元)은 원점을 중심으로 회전을 해도 모양이 꼭 같으므로 회전대칭이다. 공간상의 회전변환을 넘어서, 시간 공간의 대칭적 변환으로 일반화하면 아인슈타인의 특수상대성 이론이 시공간 변환관계이다. 동식물의 나선은 좌우 나선들이 대칭을 이루며 그 속에는 element-wise inverse가 존재한다. Hadamard 행렬 중 가운데 하중 값을 2로 준 것은 자연대수의 밑 2와 같고, 나선 행렬은 Symmetric하며 역행렬은 element-wise inverse이다.

GEOMETRY ON EXOTIC HYPERBOLIC SPACES

  • Kim, In-Kang
    • 대한수학회지
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    • 제36권3호
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    • pp.621-631
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    • 1999
  • In this paper we briefly describe the geometry of the Cayley hyperbolic plane and we show that every uniform lattice in quaternionic space cannot be deformed in the Cayley hyperbolic 2-plane. We also describe the nongeometric bending deformation by developing the theory of the Cartan angular invariant for quaternionic hyperbolic space.

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ON NEARNESS SPACE

  • Lee, Seung On;Choi, Eun Ai
    • 충청수학회지
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    • 제8권1호
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    • pp.19-27
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    • 1995
  • In 1974 H.Herrlich invented nearness spaces, a very fruitful concept which enables one to unify topological aspects. In this paper, we introduce the Lindel$\ddot{o}$f nearness structure, countably bounded nearness structure and countably totally bounded nearness structure. And we show that (X, ${\xi}_L$) is concrete and complete if and only if ${\xi}_L={\xi}_t$ in a symmetric topological space (X, t). Also we show that the following are equivalent in a symmetric topological space (X, t): (1) (X, ${\xi}_L$) is countably totally bounded. (2) (X, ${\xi}_t$) is countably totally bounded. (3) (X, t) is countably compact.

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Paracontact Metric (k, 𝜇)-spaces Satisfying Certain Curvature Conditions

  • Mandal, Krishanu;De, Uday Chand
    • Kyungpook Mathematical Journal
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    • 제59권1호
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    • pp.163-174
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    • 2019
  • The object of this paper is to classify paracontact metric ($k,{\mu}$)-spaces satisfying certain curvature conditions. We show that a paracontact metric ($k,{\mu}$)-space is Ricci semisymmetric if and only if the metric is Einstein, provided k < -1. Also we prove that a paracontact metric ($k,{\mu}$)-space is ${\phi}$-Ricci symmetric if and only if the metric is Einstein, provided $k{\neq}0$, -1. Moreover, we show that in a paracontact metric ($k,{\mu}$)-space with k < -1, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. Several consequences of these results are discussed.

Sequence Space m(M, φ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.319-332
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    • 2013
  • The sequence space $m(M,{\phi})^F$ of fuzzy real numbers is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

회전대칭 이차 불함수의 해밍무게 및 비선형성 (On the Weight and Nonlinearity of Quadratic Rotation Symmetric Boolean Functions)

  • 김현진;정창호;박일환
    • 정보보호학회논문지
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    • 제19권2호
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    • pp.23-30
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    • 2009
  • 회전대칭 불함수는 고속계산에 유리하고 암호학적으로 우수한 성질을 나타내어 최근 많은 주목을 받고 있다. 예를 들어, 부호이론에서 중요한 문제가 회전대칭 불함수를 이용하여 해결된 사례가 있고, 고속 해시함수 설계에 응용된 경우도 있다. 다른 한편으로, 매우 단순한 형태의 회전대칭 이차 불함수에 대한 비선형성 및 해명무게의 정확한 공식이 발견되었으며[2,8], 더 넓은 범위의 함수들에 대한 보다 일반적인 공식들도 발견되었다[6]. 본 논문에서는 이들 공식들을 조금 더 확장하여 일차항들이 포함된 회전대칭 이차 불함수에 대한 정확한 해밍무게 공식을 유도한다.

ON A SEMI-SYMMETRIC METRIC CONNECTION IN AN (ε)-KENMOTSU MANIFOLD

  • Singh, Ram Nawal;Pandey, Shravan Kumar;Pandey, Giteshwari;Tiwari, Kiran
    • 대한수학회논문집
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    • 제29권2호
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    • pp.331-343
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    • 2014
  • The object of the present paper is to study a semi-symmetric metric connection in an (${\varepsilon}$)-Kenmotsu manifold. In this paper, we study a semi-symmetric metric connection in an (${\varepsilon}$)-Kenmotsu manifold whose projective curvature tensor satisfies certain curvature conditions.

란쥬반형 압전 진동자를 이용한 선형 초음파 모터의 특성연구 (A Study on the Characteristics of Linear Ultrasonic Motor Using Langevin type Piezoelectic Transducer)

  • 최명일;박태곤;김명호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.137-139
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    • 2003
  • Transducer for ultrasonic linear motor with the symmetric and anti-symmetric modes was studied. The ultrasonic linear motor consists of two Langevin type piezoelectric vibrators that cross at right angles with each other in tip. In order to excite symmetric and anti-symmetric modes, the transducer must have a phase shift of 90 degree in space and time. Therefore, the tip of transducer moves on an elliptical motion. In this paper, the finite element analysis was used to optimize dimension and displacement of the transducer The ultrasonic motor was fabricated using the simulated result and the driving characteristics were measured. No-load velocity was 0.28[m/s] and the maximum efficiency was 30[%] in resonance frequency.

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