• Title/Summary/Keyword: duality.

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A study on the improvement of cutting precision of CNC system using $H_{\infty}$ 2-degree-of-freedom controller ($H_{\infty}$ 2 자유도 제어기를 이용한 CNC 시스템의 가공 정밀도 향상에 관한 연구)

  • 최성규;최병욱;현용탁;강성귀;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1040-1043
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    • 1996
  • The accuracy of the servo control in CNC system has a great influence on the duality of machine product. Tracking performance of the servo control is deteriorated mainly by the time delay of the servo system and the inertia of the work table or bed. Contouring errors occur in every interpolation steps by the effect of the tracking performance. In this paper, $H_{\infty}$ two-degree-of-freedom(TDF) controller is designed for improvement to improve the tracking performance. The designed controller is applied 3-axis machining center model and the cutting accuracy is simulated in case of corner cutting, circular and involute interpolation. Simulation results show that $H_{\infty}$ TDF controller designed in this paper has a good effect to improve tracking performance in CNC system.

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Wave Character of the Timber Line on Paektusan (白頭山 森林限界線의 波動性에 관한 硏究)

  • Chang, Nam-Kee
    • The Korean Journal of Ecology
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    • v.13 no.4
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    • pp.321-329
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    • 1990
  • An investigation was performed to elucidate wave character of the timber line on the middle slope of the west side of Paektusan. The Betula ermanii forest, which composes the timber line on about 2, 060m elevation of sea level, is the pure community of B. ermanii. Diffraction pattern of wave distribution of B. eramnii due to boundary condition of alpine temperature gradient was found out on the timber line. Interference patterns of waves of B. ermanii communities produced by environment conditions such as soil layers, whids, snow and relief were shown on a specific area. These facts indicate that the B. ermanii individuals have wave and particle duality, the complementarity principle.

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THREE CONVEX HULL THEOREMS ON TRIANGLES AND CIRCLES

  • Kalantari, Bahman;Park, Jong Youll
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.787-794
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    • 2014
  • We prove three convex hull theorems on triangles and circles. Given a triangle ${\triangle}$ and a point p, let ${\triangle}^{\prime}$ be the triangle each of whose vertices is the intersection of the orthogonal line from p to an extended edge of ${\triangle}$. Let ${\triangle}^{{\prime}{\prime}}$ be the triangle whose vertices are the centers of three circles, each passing through p and two other vertices of ${\triangle}$. The first theorem characterizes when $p{\in}{\triangle}$ via a distance duality. The triangle algorithm in [1] utilizes a general version of this theorem to solve the convex hull membership problem in any dimension. The second theorem proves $p{\in}{\triangle}$ if and only if $p{\in}{\triangle}^{\prime}$. These are used to prove the third: Suppose p be does not lie on any extended edge of ${\triangle}$. Then $p{\in}{\triangle}$ if and only if $p{\in}{\triangle}^{{\prime{\prime}}$.

Resource Allocation for Multiuser OFDM Systems (다중사용자 OFDM 광대역 무선인터넷 시스템의 자원할당 방법)

  • Jeong Yong-Ju;Baek Cheon-Hyeon;Kim Hu-Gon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1647-1655
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    • 2006
  • 본 연구는 무선 및 사용자요구사항 등 환경의 변화에 따라 부반송파(subcarrier) 할당, 변조방식 및 전력량을 조절하는 적응형 다중사용자 OFDM 시스템을 다룬다. 먼저 사용자별 전송요구 비트수 및 전체 사용가능한 전력량에 대한 제약 조건하에서 총 데이터 전송량(Throughput)을 최대화하는 최적화 문제를 모형화한다. 이 문제는 대부분의 기존 연구들을 포함할 수 있을 정도로 포괄적이지만 미분이 불가능한 비선형 최적화 문제이면서도 빠른 계산시간을 요구한다. 본 연구는 쌍대간격(Duality Gap)이 0이라는 제안 문제의 특성을 바탕으로 하여 Subgradient 쌍대최적화(Dual Optimization) 기법을 적용한다. 또한 이러한 접근법은 사용자 또는 무선환경의 변화에 적극적으로 적응하는 무선자원 할당 메커니즘을 제시한다.

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A Study on the Application of the Qualify Function Deployment in Organizations - a methodical approach for TQC -

  • Lee, Hoe-Sik;Hwang, Eui-Cheol
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.13 no.22
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    • pp.79-85
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    • 1990
  • An important problem to be carried into a plan on the occasion for introduction of TQC is to establish the clear-cut policy and workable system on QC. In connection with escalation the product liability in recent days, especially, a point to he considered in relation the real state of enterprise, it seems likely to be difficult an effective performance without distribution of the definite duality function to each departments in the company, and to define the quality function, it should be educed and coordinated under agreement organization wide participation and conciliation. In this paper, we have tried to have a more effective graft the European style QC on the oriental enterprise, by means of presenting a model that manages synthetically a way of deployment the fundamental factors affecting quality, and establishing the control subject in each function unit.

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심부지하수 수질 보호를 위한 천부포획정 공법

  • 김강주;박성민;염병우
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.09a
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    • pp.511-514
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    • 2003
  • Nowadays, wells tapping the deep aquifers become general because water quality of the shallow groundwater has been gradually degraded over the last 30 years as a result of rapid industrialization and intensive agricultural activities. However, many of the deep wells also suffer problems of water-quality degradation in several years after the well installation, nevertheless those were properly completed and managed. It is believed that the heavy pumping from deep wells causes the doward movement of the contaminated, shallow groundwaters and introduces them into the deep aquifers. In this study, we introduces a shallow capture well system, which could effectively prevent the shallow groundwaters of poor water duality from moving into the deep aquifers by pumping of deep production wells. Even though additional costs are required to apply this system, we believe that this method could be appropriate for the deep wells that are important for the public health.

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Efficient Equivalent Fault Collapsing Algorithm for Transistor Short Fault Testing in CMOS VLSI (CMOS VLSI에서 트랜지스터 합선 고장을 위한 효율적인 등가 고장 중첩 알고리즘)

  • 배성환
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.12
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    • pp.63-71
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    • 2003
  • IDDQ testing is indispensable in improving Duality and reliability of CMOS VLSI circuits. But the major problem of IDDQ testing is slow testing speed due to time-consuming IDDQ current measurement. So one requirement is to reduce the number of target faults or to make the test sets compact in fault model. In this paper, we consider equivalent fault collapsing for transistor short faults, a fault model often used in IDDQ testing and propose an efficient algorithm for reducing the number of faults that need to be considered by equivalent fault collapsing. Experimental results for ISCAS benchmark circuits show the effectiveness of the proposed method.

DIMENSIONS OF MEASURES ON PERTURBED CANTOR SET

  • Baek, In-Soo
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.397-403
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    • 2004
  • Cutler showed some duality results about Hausdorff and packing dimensions of a measure on a compact set in Euclidean space if its s-dimensional Hausdorff measure or packing measure is positive. We show that the similar results in a perturbed Cantor set hold according to its quasi s-dimensional Hausdorff measure or packing measure and we find concrete measures in this case while Cutler showed the existence of such measures. Finally under some strong condition, we give a concrete measure whose Hausdorff and packing dimensions are the same as those of the perturbed Cantor set without the condition that it has positive s-dimensional Hausdorff or packing measures.

Conservative Quadratic RSM combined with Incomplete Small Composite Design and Conservative Least Squares Fitting

  • Kim, Min-Soo;Heo, Seung-Jin
    • Journal of Mechanical Science and Technology
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    • v.17 no.5
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    • pp.698-707
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    • 2003
  • A new quadratic response surface modeling method is presented. In this method, the incomplete small composite design (ISCD) is newly proposed to .educe the number of experimental runs than that of the SCD. Unlike the SCD, the proposed ISCD always gives a unique design assessed on the number of factors, although it may induce the rank-deficiency in the normal equation. Thus, the singular value decomposition (SVD) is employed to solve the normal equation. Then, the duality theory is used to newly develop the conservative least squares fitting (CONFIT) method. This can directly control the ever- or the under-estimation behavior of the approximate functions. Finally, the performance of CONFIT is numerically shown by comparing its'conservativeness with that of conventional fitting method. Also, optimizing one practical design problem numerically shows the effectiveness of the sequential approximate optimization (SAO) combined with the proposed ISCD and CONFIT.

HIGHEST WEIGHT VECTORS OF IRREDUCIBLE REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA μq(gl(m, n))

  • Moon, Dong-Ho
    • Journal of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.1-28
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    • 2003
  • The Iwahori-Hecke algebra $H_{k}$ ( $q^2$) of type A acts on the k-fold tensor product space of the natural representation of the quantum superalgebra (equation omitted)$_{q}$(gl(m, n)). We show the Hecke algebra $H_{k}$ ( $q^2$) and the quantum superalgebra (equation omitted)$_{q}$(gl(m n)) have commuting actions on the tensor product space, and determine the centralizer of each other. Using this result together with Gyoja's q-analogue of the Young symmetrizers, we construct highest weight vectors of irreducible summands of the tensor product space.