• Title/Summary/Keyword: unit circle

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Active Control of Noise in Ducts Using Stabilized Multi-Channel Recursive LMS Algorithms (안정화된 다중채널 RLMS 알고리즘을 이용한 덕트의 능동소음제어)

  • Nam, Hyun-Do;Nam, Seung-Uk;Seo, Sung-Dae;Ahn, Dong-Jun
    • Proceedings of the KIEE Conference
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    • 2006.04a
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    • pp.30-32
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    • 2006
  • An adaptive IIR filter in ANC(Active Noise Control) systems is more effective than an adaptive FIR filter when acoustic feedback exists, in which cause an order of an adaptive FIR filter must be very large if some of poles of the ideal control filter are near the unit circle. But the IIR filters may have stability problems especially when the adaptive algorithm for adaptive filters is not yet converged. In this paper, a stabilized multi-channel recursive LMS (MCRLMS) algorithm for an adaptive multi-channel IIR filter is presented. RLMS algorithms usually diverge before the algorithm is not yet converged. So, in the beginning of the ANC system, the stability of the RLMS algorithms could be Improved by pulling the poles of the IIR filter to the center of the unit circle, and returning the poles to their original positions after the filter converges. Computer simulations and experiments for dipole ducts using a TMS320C32 digital signal processor have performed to show the effectiveness of a proposed algorithm.

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3D Linear and Circular Interpolation Algorithm for CNC Machines (CNC 공작기계의 3차원 직선 및 원호 보간 알고리즘에 관한 연구)

  • Yang, Min-Yang;Hong, Won-Pyo
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.172-178
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    • 1999
  • 3D linear and circular interpolations are a basic part for the machining of complex shapes. Until now, because of the absence of appropriate algorithms for the generation of 3D lines and circles, a full accomplishment for available machine tool resolution is difficult. this paper presents new algorithms for 3D linear and circular interpolation in the reference pulse technique. In 3D space, the line or circle is not expressed as an implicit function, it is only defined as the intersection of two surfaces. A 3D line is defined as the intersection of two planes, and a 3D circle is defined as the intersection of a plane and the surface of a sphere. Based on these concepts, interpolation algorithms are designed to follow intersection curves in 3D space, and a real-time 3D linear and circular interpolator was developed in software using a PC. The algorithm implemented in a PC showed promising results in interpolation error and speed performance. It is expected that it can be applied to the next generation computerized numerical control systems for the machining of 3D lines, circles and some other complex shapes.

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TOPOLOGICAL CONJUGACY OF DISJOINT FLOWS ON THE CIRCLE

  • Cieplinski, Krzysztof
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.333-346
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    • 2002
  • Let $F={F^v:S^1->S^1,v\in\; V$ and $g={G^v:S^1->S^1,v\in\; V$ be disjoint flows defined on the unit circle $S^1$, that is such flows that each their element either is the identity mapping or has no fixed point ((V, +) is a 2-divisible nontrivial abelian group). The aim of this paper is to give a necessary and sufficient codition for topological conjugacy of disjoint flows i.e., the existence of a homeomorphism $\Gamma:S^1->S^1$ satisfying $$\Gamma\circ\ F^v=G^v\circ\Gamma,\; v\in\; V$$ Moreover, under some further restrictions, we determine all such homeomorphisms.

A study on the effective approach model improvement of QC circle activity for active TQC application in korea (TQC활성화를 위한 한국의 품질관리 분임조활동 현황문제점과 개선방향)

  • 신용백
    • Journal of the Korean Professional Engineers Association
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    • v.25 no.4
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    • pp.52-58
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    • 1992
  • In korea, since November 1982 these two small group activity (QC circle convension and Factory Saemaul activity small group convension) has been united, many problems have been disclosed that are aganist the basic principle more or less. Worker's small group within their working place to improve the surroundings creatively. In practice, however, many group are so typical and impetuous of the material effect that it is worried to be inclined to outform rather than contents. Effective small group activities are presumed to be successful only with labour management cooperation on the basis of human-orient management philosophy. The small group activities are also prevalent in service sector. More derivative methods have been developed and more members are willingly participation in training programs. The small group which is basically a horizontal organization unit, promptes communication within the whole organization, In consideration of social circumstances and traditions, the flexible model of the small group activities suitable to the corporate environment, will contribute to industrial development.

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Resident's Requirement and Facilities Planning on the Shared Facilities and Space in the Multi-family Housing (아파트 단지내에서 생활시설과 공간에 대한 주민요구고아 설치계획연구)

  • 손세욱
    • Journal of the Korean housing association
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    • v.12 no.2
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    • pp.25-34
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    • 2001
  • In this study, the shared facilities and space in the multi-family housing which residents could maintain contacts with their neighbors were investigated and analyzed. It could find the shared facilities and space so that residents could maintain to contact with their neighbors after surveying the dwellers requirements. Also it could specify the importance of the neighborhood common spaces and the conditions for the planning of the shared facilities. Analyzing residents requirement of set-up location, this study lead to the following suggestions concerning the facilities design: In the first neighborhood-circle, it require to be related the household affairs of housewives on the adjacent space to a dwelling-unit. In the second neighborhood-circle, it require especially the facilities for children play, study, reading, hobby etc. These facilities need establish each 4-5 floor in high-rise building estates. The roof & underground floors has been recognized in important & essential place for living facilities. Therefore, it is needed to improve to get ready to receive the various facilities.

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BLASCHKE PRODUCTS AND RATIONAL FUNCTIONS WITH SIEGEL DISKS

  • Katagata, Koh
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.151-170
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    • 2009
  • Let m be a positive integer. We show that for any given real number ${\alpha}\;{\in}\;[0,\;1]$ and complex number $\mu$ with $|\mu|{\leq}1$ which satisfy $e^{2{\pi}i{\alpha}}{\mu}^m\;{\neq}\;1$, there exists a Blaschke product B of degree 2m + 1 which has a fixed point of multiplier ${\mu}^m$ at the point at infinity such that the restriction of the Blaschke product B on the unit circle is a critical circle map with rotation number $\alpha$. Moreover if the given real number $\alpha$ is irrational of bounded type, then a modified Blaschke product of B is quasiconformally conjugate to some rational function of degree m + 1 which has a fixed point of multiplier ${\mu}^m$ at the point at infinity and a Siegel disk whose boundary is a quasicircle containing its critical point.

Ship Manoeuvring Performance Experiments Using a Free Running Model Ship

  • Im, Nam-Kyun;Seo, Jeong-Ho
    • Journal of Navigation and Port Research
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    • v.33 no.9
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    • pp.603-608
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    • 2009
  • In this paper, a 3m-class free running model ship will be introduced with its manoeuvring performance experiments. The results of turning circle test and zig-zag test will be explained. The developed system are equipped with GPS, main control computer, wireless LAN, IMU (Inertial Measurement Unit), self-propulsion propeller and driving rudder. Its motion can be controlled by RC (Radio Control) and wireless LAN from land based center. Automatic navigation is also available by pre-programmed algorithm. The trajectory of navigation can be acquired by GPS and it provides us with important data for ship's motion control experiments. The results of manoeuvring performance experiment have shown that the developed free running model ship can be used to verify the test of turning circle and zig-zag. For next step, other experimental researches such as ship collision avoidance system and automatic berthing can be considered in the future.

Biomechanics of the Lumbar Intervertebral Disk (요추디스크의 생체역학)

  • Park Ji-Whan
    • The Journal of Korean Physical Therapy
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    • v.2 no.1
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    • pp.103-112
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    • 1990
  • The intervertebral disc in the anterior portion of the function unit gives the spine its flexibility. The disc is attached closely to the vertebral endplates. Between these endplates and the annulus fibrosus, the nucleus pulposus of the lumbar disc is enclosed in a circle of unyielding tissues. Compressive pressure placed on the disc is dissipated circumferentially in a passive manner In response to the greater axial forced exerted on the lumbar spine in comparison to the cervical and thoracic spines, the nucleus pulposus has its greatest surface area in the lumbar spine. The intervertebral disc is not only structure that helps diss pate stresses placed on the spine. With flexion, extension, rotation, or shear stress, the load distribution on the function unit is shared by the intervertebral disc, anterior and posterior longitudinal ligaments, the facet joints and capsules, and other ligamentous structures like the ligamentum flavum, interspinous and supraspinous ligaments, which attach to the posterior elements of the functional unit.

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VOLUME PRODUCT FOR PEDAL BODIES

  • Chai, Y.D.;Kim, Yong-Il;Lee, Doo-Hann
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.735-740
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    • 2001
  • Let K be a convex body of constant relative breadth and let $K^*$ be its polar dual with respect to the Euclidean unit circle. In this paper we obtain the lower bound for the volume of the pedal body $PK^*P $K^{*}$ of K^*.$ Using this, we also obtain the lower bound for the volume product V$(PK^*)$V(PK) for planar bodies.s.

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