• Title/Summary/Keyword: homogeneous

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비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬 (Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space)

  • 이계희
    • 한국전산구조공학회논문집
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    • 제23권2호
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    • pp.165-173
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    • 2010
  • 본 논문에서는 비동질 탄성무한공간에 대한 비례경계유한요소법의 동적강도행렬을 해석적으로 유도하였다. 해석영역의 비동질성은 비동질파라메터를 지수로 하는 멱함수로 고려하였다. 동적강도행렬은 진동수영역에서 다항식으로 점근전개한 후, 방사조건을 만족시키도록 하여 각 다항식의 계수를 구하는 과정을 통하여 유도되었다. 얻어진 동적강도행렬의 타당성을 검증하기 위해 정확해가 알려져 있는 대표적인 문제에 대하여 비동질파라메터의 값을 변화시키면서 수치해석을 수행하였다. 그 결과 유도된 동적강도행렬이 비동질공간에 대한 특성을 적절하게 반영하는 것으로 나타났다.

Homogeneous Transformation Matrix의 곱셈을 위한 병렬구조 프로세서의 설계 (A Parallel-Architecture Processor Design for the Fast Multiplication of Homogeneous Transformation Matrices)

  • 권두올;정태상
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권12호
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    • pp.723-731
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    • 2005
  • The $4{\times}4$ homogeneous transformation matrix is a compact representation of orientation and position of an object in robotics and computer graphics. A coordinate transformation is accomplished through the successive multiplications of homogeneous matrices, each of which represents the orientation and position of each corresponding link. Thus, for real time control applications in robotics or animation in computer graphics, the fast multiplication of homogeneous matrices is quite demanding. In this paper, a parallel-architecture vector processor is designed for this purpose. The processor has several key features. For the accuracy of computation for real application, the operands of the processors are floating point numbers based on the IEEE Standard 754. For the parallelism and reduction of hardware redundancy, the processor takes column vectors of homogeneous matrices as multiplication unit. To further improve the throughput, the processor structure and its control is based on a pipe-lined structure. Since the designed processor can be used as a special purpose coprocessor in robotics and computer graphics, additionally to special matrix/matrix or matrix/vector multiplication, several other useful instructions for various transformation algorithms are included for wide application of the new design. The suggested instruction set will serve as standard in future processor design for Robotics and Computer Graphics. The design is verified using FPGA implementation. Also a comparative performance improvement of the proposed design is studied compared to a uni-processor approach for possibilities of its real time application.

6 MV 광자선의 투과성필터와 Wedge 선속을 이용한 부비강의 균등선량계획 (Homogeneous Dose Planning to Paranasal Sinus with the Partial Attenuation filters and Wedged Beams in 6 MV Photon Beam)

  • 최태진;이호준;김옥배
    • Radiation Oncology Journal
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    • 제11권1호
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    • pp.183-191
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    • 1993
  • The homogeneous dose planning is one of the most important roles in radiation therapy. But, it is not easy to obtain a homogeneous dose to paranasal sinus region including the ethmoidal sinus with conventional irradiation techniques. In this experimental study, the authors tried to get a homogeneous dose at PNS region, but the nasal cartirage does not exceed the tolerance dose, with anterior-posterior beam and two both lateral wedged beams. Used three fields were shielded with full thickness of blocks to preserve the eye-balls and with blocks of one half value layer to create a homogeneous dose at the whole treatment volume. The dose computations are based on the three dimensonal structure with modified scatter contributions of partial shielders and attenuated beams in 6 MV photon beams. The dose distributions of mid-plane is examined with Kodak verification films and teflon-embedded TLD rod (1 mm diameter and 6 mm length) to confirm the computed dose. In our study, the whole PNS regions have shown within $85{\%}$ of the resultant isodose curves with relatively homogeneous dose distribution. The results of dose computation and measurements are agree well within $5{\%}$ uncertainties.

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GRADED INTEGRAL DOMAINS IN WHICH EACH NONZERO HOMOGENEOUS IDEAL IS DIVISORIAL

  • Chang, Gyu Whan;Hamdi, Haleh;Sahandi, Parviz
    • 대한수학회보
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    • 제56권4호
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    • pp.1041-1057
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    • 2019
  • Let ${\Gamma}$ be a nonzero commutative cancellative monoid (written additively), $R={\bigoplus}_{{\alpha}{\in}{\Gamma}}$ $R_{\alpha}$ be a ${\Gamma}$-graded integral domain with $R_{\alpha}{\neq}\{0\}$ for all ${\alpha}{\in}{\Gamma}$, and $S(H)=\{f{\in}R{\mid}C(f)=R\}$. In this paper, we study homogeneously divisorial domains which are graded integral domains whose nonzero homogeneous ideals are divisorial. Among other things, we show that if R is integrally closed, then R is a homogeneously divisorial domain if and only if $R_{S(H)}$ is an h-local $Pr{\ddot{u}}fer$ domain whose maximal ideals are invertible, if and only if R satisfies the following four conditions: (i) R is a graded-$Pr{\ddot{u}}fer$ domain, (ii) every homogeneous maximal ideal of R is invertible, (iii) each nonzero homogeneous prime ideal of R is contained in a unique homogeneous maximal ideal, and (iv) each homogeneous ideal of R has only finitely many minimal prime ideals. We also show that if R is a graded-Noetherian domain, then R is a homogeneously divisorial domain if and only if $R_{S(H)}$ is a divisorial domain of (Krull) dimension one.

ASYMPTOTIC FOLIATIONS OF QUASI-HOMOGENEOUS CONVEX AFFINE DOMAINS

  • Jo, Kyeonghee
    • 대한수학회논문집
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    • 제32권1호
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    • pp.165-173
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    • 2017
  • In this paper, we prove that the automorphism group of a quasi-homogeneous properly convex affine domain in ${\mathbb{R}_n}$ acts transitively on the set of all the extreme points of the domain. This set is equal to the set of all the asymptotic cone points coming from the asymptotic foliation of the domain and thus it is a homogeneous submanifold of ${\mathbb{R}_n}$.

진화알고리즘을 이용한 균즐자장 발생용 마그네트의 최적설계 (Homogeneous Magnet Design Technique Using Evolution Strategy)

  • 송명곤;김동훈;이상진
    • 한국초전도ㆍ저온공학회논문지
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    • 제4권1호
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    • pp.114-118
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    • 2002
  • We introduce a design technique for homogeneous magnets using evolution strategy. The method has several advantages over existing techniques including: it allows complete flexibility in geometric constraints on the shape of both the coil and the homogeneous volume; it guarantees a globally optimal solution, and it automatically searches the minimum number of coils that satisfies given constraints.

ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS

  • Bhoosnurmath, Subhas S.;Kulkarni, Milind Narayanrao;Yu, Kit-Wing
    • 대한수학회보
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    • 제45권3호
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    • pp.427-435
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    • 2008
  • In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).

Basic Homogeneous Transformation(BHT)을 이용한 이동로봇 기구학 모델링에 대한 연구 (A Study on Modeling of Mobile Robot Using Basic Homogeneous Transformation(BHT))

  • 류신형;이기철;이성렬;박민용
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.265-265
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    • 2000
  • In this paper the systematic modeling method of general wheeled mobile robot is proposed. First we show how to describe kinematics properties of wheeled mobile robot in the method formulating constraint equations using Basic Homogeneous Transform(BHT) which is used mainly the kinematics modeling of manipulator, and, under assumption it's provided part of nullvector in given constraint equations, find kinematics model of mobile robot related to actuators in real robot.

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