• 제목/요약/키워드: Principle planes

검색결과 20건 처리시간 0.026초

사면체에서 지렛대의 원리를 이용한 선분들 및 평면들의 교차에 관한 성질 연구 (A Study on Tetrahedron's Properties related with Intersection of Segments and Planes Using the Principle of the Lever)

  • 이광록;손진오;송아롬;백수현;정기영;한인기
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제21권4호
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    • pp.663-676
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    • 2007
  • 지렛대의 원리 및 무게중심의 개념은 아르키메데스 이래로 많은 수학자들, 물리학자들에 의해 연구, 발전되어 왔으며, 지금도 물리학, 화학, 건축학 등의 분야에서 폭넓게 활용되고 있다. 본 연구에서는 지렛대의 원리를 이용하여 사면체에서 선분들, 평면들의 교차에 관련된 몇몇 성질들을 탐구하여, 지렛대의 원리를 이용한 사면체의 성질 탐구의 예들과 방법을 제시하였다.

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SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS

  • Zeng, Fanqi
    • 대한수학회지
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    • 제58권4호
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    • pp.1001-1017
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    • 2021
  • In this paper, we first apply parabolic inequalities and a maximum principle to give a new proof for symmetry and monotonicity of solutions to fractional elliptic equations with gradient term by the method of moving planes. Under the condition of suitable initial value, by maximum principles for the fractional parabolic equations, we obtain symmetry and monotonicity of positive solutions for each finite time to nonlinear fractional parabolic equations in a bounded domain and the whole space. More generally, if bounded domain is a ball, then we show that the solution is radially symmetric and monotone decreasing about the origin for each finite time. We firmly believe that parabolic inequalities and a maximum principle introduced here can be conveniently applied to study a variety of nonlocal elliptic and parabolic problems with more general operators and more general nonlinearities.

SEM에서 접속 렌즈 1 의 특성에 대한 간단한 분석 (Simple Analysis of the Properties of Condenser Lens 1 in SEM)

  • 임선종
    • 한국생산제조학회지
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    • 제19권5호
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    • pp.705-709
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    • 2010
  • It is quite complex to draw the geometry of electron trajectories in electron optics because such trajectories have various aberrations that cannot be easily calculated. However, if we need to know roughly the geometry, the focal length and the principal planes in order to understand the properties of column, a simple numerical solution can be a useful method. We are developing the electron beam machining system based on SEM. In this paper, we show rough geometry, focal length and principal planes by a numerical solution for electron lens I in our column. These results will be utilized in developing a simulation program for electron optics.

원주의 등분할에 의한 전통구조물의 평면구성기법분석에 관한 연구 (An Analysis on Techniques of Moulding of Korean Traditional Structure and Architectures through Equal Subdividing Circumference Methods)

  • 이주원;정기호
    • 한국조경학회지
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    • 제28권3호
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    • pp.97-104
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    • 2000
  • Studies on the principle of traditional moulding techniques of architecture or structure are very important in the point of the work could accomplish succession to modern design. As an attempt of these work, this study tried to examine traditional moulding techniques applied in planes of ancient architecture and structure closely. The major findings of this study are summarized as follows; It was verified that planes of ancient Korean architectures and structures analyzed in this study was moulded by its multiple partitions with the six or eight partitions of circumference as the fundamental form. The well unearthed in kyong-bok palace recently was moulded by a concentric circle assumed form of 4 circle which was extended with equal interval and divided into multiple of 8 partition of circumference. Chon-duk-jung in chang-duk palace also was moulded by a concentric circle assumed form of 3 circle extended with equal interval, but circle were divide by 6 partitions. It was also found that 6$^{\circ}$§8 partitions of circumference(or its multiple partition) was applied to not only above structures but also the moulding planes of ancient architecture, and as a results, figures revealed in architectures analyzed is classified into three classes. And, this study analyzed arrangements of two temples. As a results, it is discovered that the Grid used in moulding planes of each building fixed the arrangement of buildings. Therefore, moulding by equal partition of circumference decided the form of each building and the relation of element at the same time.

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입방체경화재료의 삼차원거동 및 강도특성 (Three-dimensional Behavior and Strength Characteristics of Cubical Hal-dening Materials.)

  • 강병선
    • 한국지반공학회지:지반
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    • 제5권3호
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    • pp.19-28
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    • 1989
  • 본문은 전단과정에서 경화되는 모래와 같은 재료의 구성식을 연구하기 위하여 그 기초실험으로서 이미 경화된 콘크리트를 대상으로 3주응력을 독립적으로 제어할 수 있는 입방체삼축추축실험기를 통해 여러가지 응력경로 실험을 실시한 것이다. 실험으로서는 HC, CTC, TC, TE, SS 등 5종이고 그 들의 응력-변형률관계와 강도특성을 8면체면에서 고찰한 것이다. 이들을 통한 주요 결론은 다음과 같다. 1. 경화재료에 대한 전단강도의 크기는 CTC, TC, SS, TE의 순서이다. 2. 8면체전단강도는 응력경로에 의존하고 3. 또한 등방응력이 클수록 좋다. 4. 8면체면에서 극한포락선은 원추형상이다. 5. 마찰성재료인 경화재료에 대해서는 인장강도의 영향을 고려해야 한다.

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콘크리트의 점진적(漸進的) 파괴(破壞)에 대한 비선형(非線型) 구성(構成)모델확립연구(硏究) (A Nonlinear Constitutive Model for Progressive Fracturing of Concrete)

  • 오병환
    • 대한토목학회논문집
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    • 제4권2호
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    • pp.55-64
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    • 1984
  • 본(本) 논문(論文)에서는 콘크리트의 점진적(漸進的) 인장파괴현상(引張破壞現象)을 해석(解析)할 수 있는 증분형(增分形)이며, 진로종속적(進路從屬的)이고, 텐서적으로 불변성(不變性)인 비선형구성(非線型構成)모델이 제안(提案)되었다. 전(全) 변형도(變形度)는 탄성성분(彈性成分)과 비탄성성분(非彈性成分)의 합(合)으로 표시(表示)된다. 콘크리트내부(內部)에는 미세균열(微細龜裂)의 근원(根源)이 되는 약(弱)한 면(面)들이 모든 방향(方向)으로 좌우(左右)하며, 이 약(弱)한 면(面)에서의 법선응력(法線應力)은 법선변형도(法線變形度)의 함수라고 가정된다. 이와 같은 근본개념(根本槪念)아래 가상(假想)일의 원리(原理)로부터 콘크리트의 접선강도(接線剛度)가 유도된다. 본(本) 이론(理論)은 비비례하중(非比例荷重)이나 주응력(主應力)의 방향(方向)이 변(變)하는 경우 등의 일반적(一般的)인 하중상태(荷重狀態)에 적용할 수 있으며, 이것이 본(本) 모델의 주요(主要)한 목적이 될 수 있다. 본(本) 이론(理論)을 변형연화현상(變形軟化現象)을 보이는 직접인장실험자료(直接引張實驗資料)와 비교한 결과 좋은 일치를 얻었다.

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Determination of Surface Currents on Circular Microstrip Antennas

  • Godaymi, Wa'il A.;Mohammed, Abdul-Kareem Abd Ali;Ahmed, Zeki A.
    • Journal of electromagnetic engineering and science
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    • 제12권4호
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    • pp.260-270
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    • 2012
  • This work aims to present a theoretical analysis of the electric and magnetic surface current densities of a circular microstrip antenna (CMSA) as a body of revolution. The rigorous analysis of these problems begins with the application of the equivalence principle, which introduces an unknown electric current density on the conducting surface and both unknown equivalent electric and magnetic surface current densities on the dielectric surface. These current densities satisfy the integral equations (IEs) obtained by canceling the tangential components of the electric field on the conducting surface and enforcing the continuity of the tangential components of the fields across the dielectric surface. The formulation of the radiation problems is based on the combined field integral equation. This formulation is coupled with the method of moments (MoMs) as a numerical solution for this equation. The numerical results of the electric and magnetic surface current densities on the outside boundary of a CMSA excited by $TM_{11^-}$ and $TM_{21^-}$ modes are presented. The radiation pattern is calculated numerically in the two principle planes for a CMSA and gives a good results compared with measured results published by other research workers.

반경방향-축방향 일체형 4극 전자기 베어링의 설계 (II) - 바이어스 자속 공유형 - (Design of Combined Radial and Axial 4-pole Electromagnetic Bearing (II) - with Coupled Bias Flux -)

  • 김하용;김승종
    • 대한기계학회논문집A
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    • 제29권12권
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    • pp.1567-1573
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    • 2005
  • This paper introduces a new active magnetic bearing(AMB) that can provide both radial and axial control functions in one bearing unit without axial disk. It has a structure of double four-pole AMB or a four-pole AMB where each core is split into two axially. The cores have two kinds of coil winding; they independently generate fluxes on the planes perpendicular or parallel to the shaft. For the radial control action, it works just like a conventional four-pole AMB. Meanwhile, for the axial control, it uses the Lorentz force generated by the interaction of the bias flux for radial control and the axial control flux. In this paper, the proposed structure, principle, and design process based on magnetic flux analysis are introduced, and its feasibility is experimentally verified by using a simple PD control algorithm with a feedforward loop to compensate the coupled flux effect.

A Human Action Recognition Scheme in Temporal Spatial Data for Intelligent Web Browser

  • Cho, Kyung-Eun
    • 한국멀티미디어학회논문지
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    • 제8권6호
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    • pp.844-855
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    • 2005
  • This paper proposes a human action recognition scheme for Intelligent Web Browser. Based on the principle that a human action can be defined as a combination of multiple articulation movements, the inference of stochastic grammars is applied to recognize each action. Human actions in 3 dimensional (3D) world coordinate are measured, quantized and made into two sets of 4-chain-code for xy and zy projection planes, consequently they are appropriate for applying the stochastic grammar inference method. We confirm this method by experiments, that various physical actions can be classified correctly against a set of real world 3D temporal data. The result revealed a comparatively successful achievement of $93.8\%$ recognition rate through the experiments of 8 movements of human head and $84.9\%$ recognition rate of 60 movements of human upper body. We expect that this scheme can be used for human-machine interaction commands in a web browser.

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서보계설계에 대한 쌍선형 변환법의 응용 및 카트의 위치제어 (Application of bilinear Transformation Method to Servo Sysstem Design and Position Control for a Cart System)

  • 김상봉;오세준;정용길;김환성
    • 대한전기학회논문지
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    • 제40권3호
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    • pp.290-298
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    • 1991
  • In the paper, the bilinear transformation method is applied to the design of servo system adopting the use of the internal model principle and the pole assignment method in a specified region. The pole assignment problem for the augmented system has been solved by using Tustin's function. The properties of Tustin's function have been shown in relation to the s-plane and z-planes, and the feedback law relationship between the original system and the transformed system has been cleared. The effectiveness of the proposed approach is proved via application for the cart system and the designed cart system is implemented by digital control with microcomputer and A-D/D-A converter.