• 제목/요약/키워드: hyperbolic structure

검색결과 100건 처리시간 0.021초

A Robust Principal Component Neural Network

  • Changha Hwang;Park, Hyejung;A, Eunyoung-N
    • Communications for Statistical Applications and Methods
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    • 제8권3호
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    • pp.625-632
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    • 2001
  • Principal component analysis(PCA) is a multivariate technique falling under the general title of factor analysis. The purpose of PCA is to Identify the dependence structure behind a multivariate stochastic observation In order to obtain a compact description of it. In engineering field PCA is utilized mainly (or data compression and restoration. In this paper we propose a new robust Hebbian algorithm for robust PCA. This algorithm is based on a hyperbolic tangent function due to Hampel ef al.(1989) which is known to be robust in Statistics. We do two experiments to investigate the performance of the new robust Hebbian learning algorithm for robust PCA.

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이상유동에서의 충격파 전파 특성 (Propagation of Shock Waves in the Two-Phase Media)

  • 염금수;장근식
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 추계 학술대회논문집
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    • pp.215-220
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    • 2004
  • A mathematical formulation based on two-phase, two-fluid hyperbolic conservation laws is developed to investigate propagation of shock waves in one- and two-dimensions. We used a high resolution upwind scheme called the split-coefficient matrix method. Two extreme cases are computed for validation of the computer code: the states of a pure gas and a pure liquid. Computed results agreed well with the previous experimental and numerical results. It is studied how the shock wave propagation pattern is affected by the void fraction in the two-phase flow. The shock structure in a two-phase flow turned out, in fact, much deviated from the shape well known in the gas only phase.

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The deformation space of real projective structures on the $(^*n_1n_2n_3n_4)$-orbifold

  • Lee, Jungkeun
    • 대한수학회보
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    • 제34권4호
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    • pp.549-560
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    • 1997
  • For positive integers $n_i \geq 2, i = 1, 2, 3, 4$, such that $\Sigma \frac{n_i}{1} < 2$, there exists a quadrilateral $P = P_1 P_2 P_3 P_4$ in the hyperbolic plane $H^2$ with the interior angle $\frac{n_i}{\pi}$ at $P_i$. Let $\Gamma \subset Isom(H^2)$ be the (discrete) group generated by reflections in each side of $P$. Then the quotient space $H^2/\gamma$ is a differentiable orbifold of type $(^* n_1 n_2 n_3 n_4)$. It will be shown that the deformation space of $Rp^2$-structures on this orbifold can be mapped continuously and bijectively onto the cell of dimension 4 - \left$\mid$ {i$\mid$n_i = 2} \right$\mid$$.

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Passive p-y curves for rigid basement walls supporting granular soils

  • Imad, Elchiti;George, Saad;Shadi S., Najjar
    • Geomechanics and Engineering
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    • 제32권3호
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    • pp.335-346
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    • 2023
  • For structures with underground basement walls, the soil-structure-interaction between the side soil and the walls affects the response of the system. There is interest in quantifying the relationship between the lateral earth pressure and the wall displacement using p-y curves. To date, passive p-y curves in available limited studies were assumed elastic-perfectly plastic. In reality, the relationship between earth pressure and wall displacement is complex. This paper focuses on studying the development of passive p-y curves behind rigid walls supporting granular soils. The study aims at identifying the different components of the passive p-y relationship and proposing a rigorous non-linear p-y model in place of simplified elastic-plastic models. The results of the study show that (1) the p-y relationship that models the stress-displacement response behind a rigid basement wall is highly non-linear, (2) passive p-y curves are affected by the height of the wall, relative density, and depth below the ground surface, and (3) passive p-y curves can be expressed using a truncated hyperbolic model that is defined by a limit state passive pressure that is determined using available logarithmic spiral methods and an initial slope that is expressed using a depth-dependent soil stiffness model.

동해 해역 원거리 해양탄성파 탐사자료의 이방성 분석을 이용한 전산처리 (Data Processing using Anisotropic Analysis for the Long-offset Marine Seismic Data of the East Sea, Korea)

  • 주용환;김병엽
    • 지구물리와물리탐사
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    • 제23권1호
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    • pp.13-21
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    • 2020
  • 해양 탄성파 탐사 시 깊은 심도의 지하구조를 영상화하기 위해서는 원거리 벌림자료의 취득 및 처리가 필수적이다. 이러한 원거리 벌림자료에 대해 일반적인 자료처리를 적용하게 되면 탄성파 이방성으로 인해 과도한 수직 시간차 늘어짐과 비쌍곡선 무브아웃 현상이 발생하여 정확한 지하구조를 도출하기가 어렵다. 한국지질자원연구원은 2017년 울릉분지 해역의 심부 지질구조 파악을 위하여 5.7 km 스트리머와 해저면 지진계를 이용해서 2차원 해양·해저면 복합 탄성파 탐사를 수행하였다. 이 연구에서는 스트리머를 이용해 취득된 원거리 벌림자료에 대해 속도와 이방성 변수의 순차 반복적인 갱신을 통해 실제 지질구조를 반영한 속도 및 이방성 변수를 최종적으로 획득하고 이를 이용하여 이방성 참반사보정을 수행하였다. 그 결과 등방성 참반사보정과 달리 탄성파 이방성의 영향으로 인해 긴 벌림거리 트레이스에서 비쌍곡선 무브아웃을 보이던 반사파 에너지가 수평으로 잘 정렬되는 것을 확인하였다. 또한 반사에너지의 늘어짐이 줄어들어 반사면 모양 및 위치 왜곡 문제가 해소되어 보다 정밀하고 정확한 참반사보정 단면을 획득할 수 있었다.

매설흄관의 설계하중 결정에 관한 연구 (A Study on the Determination of Design Load for Buried Hume Pipeline)

  • 오치남;정성교;장기태
    • 한국지반공학회지:지반
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    • 제5권2호
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    • pp.19-32
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    • 1989
  • 매설흄관의 거동을 해석하기 위하여 흙의 쌍곡선 모델, 비선형 이력모델 및 흙-구조체 접촉면 모 델을 사용한 유한요소법에 의하여 흄관에 작용하는 연직(설계)하중을 계산하였으며, 이를 고전이론 인 Marston-Spangler이론 등과 비교·분석하였다. 수치해석을 통하여 고전이론에서 고려되지 못했 던 각종 토질상수와 터파기 형태별의 영향을 포함하여 흙덮개, 터파기 폭 등의 영향을 관찰하였다. 부가적으로 철장 실무자들이 쉽게 이용할 수 있도록 설계하중을 구하는 방법을 제안하였다.

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Spill-over 억제를 위한 X-band 카세그레인 안테나 설계 연구 (The Design of X-band Cassegrain Antenna for Spill-over Suppression)

  • 이우상;장원;이병무;양기주;이상흔;윤영중
    • 한국전자파학회논문지
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    • 제17권9호
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    • pp.829-835
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    • 2006
  • 본 논문에서는 초고출력용 X-band 카세그레인 반사판 안테나 시스템에서 반사판의 표면 형상을 변형시켜 spill-over가 효과적으로 감소하는 현상에 대하여 이론적인 고찰을 수행하였다. 이러한 구조는 이중의 쌍곡면 부 반사판을 적용함으로써 주 반사판의 크기를 확장하지 않고 급전 혼 안테나에서 방사된 전파 패턴의 확장각을 증가시켜 spill-over특성이 감소되도록 설계하였다. 결과적으로 본 논문에서 제안된 카세그레인 반사판 안테나가 기존의 설계 방법에 의한 반사판 안테나에 비해 약 9 %의 효율 향상과 10 dB의 부엽 레벨 감소가 구현됨을 이론적으로 확인하였다.

Trajectory Tracking Control of a Real Redundant Manipulator of the SCARA Type

  • Urrea, Claudio;Kern, John
    • Journal of Electrical Engineering and Technology
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    • 제11권1호
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    • pp.215-226
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    • 2016
  • Modeling, control and implementation of a real redundant robot with five Degrees Freedom (DOF) of the SCARA (Selective Compliant Assembly Robot Arm) manipulator type is presented. Through geometric methods and structural and functional considerations, the inverse kinematics for redundant robot can be obtained. By means of a modification of the classical sliding mode control law through a hyperbolic function, we get a new algorithm which enables reducing the chattering effect of the real actuators, which together with the learning and adaptive controllers, is applied to the model and to the real robot. A simulation environment including the actuator dynamics is elaborated. A 5 DOF robot, a communication interface and a signal conditioning circuit are designed and implemented for feedback. Three control laws are executed in: a simulation structure (together with the dynamic model of the SCARA type redundant manipulator and the actuator dynamics) and a real redundant manipulator of the SCARA type carried out using MatLab/Simulink programming tools. The results, obtained through simulation and implementation, were represented by comparative curves and RMS indices of the joint errors, and they showed that the redundant manipulator, both in the simulation and the implementation, followed the test trajectory with less pronounced maximum errors using the adaptive controller than the other controllers, with more homogeneous motions of the manipulator.

Purification and Biochemical Characterization of Sucrose Synthase from the Cytosolic Fraction of Chickpea (Cicer arietinum L. cv. Amethyst) Nodules

  • Lee, Hoi-Seon
    • Journal of Applied Biological Chemistry
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    • 제42권1호
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    • pp.12-18
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    • 1999
  • Sucrose synthase (EC 2.4.1.13) has been purified from the plant cytosolic fraction of chickpea (Cicer arietinum L. cv. Amethyst) nodules. The native enzyme had a molecular mass of $356{\pm}15kD$. The subunit molecular mass was $87{\pm}2kD$, and a tetrameric structure is proposed for sucrose synthase of chickpea nodule. Optimum activities in the sucrose cleavage and synthesis directions were at pH 6.5 and 9.0, respectively. The purified enzyme displayed typical hyperbolic kinetics with substrates in cleavage and synthesis reactions. Chickpea nodules sucrose synthase had a high affinity for UDP ($K_m$, $8.0{\mu}M$) and relatively low affinities for ADP ($K_m$, 0.23 mM), CDP ($K_m$, 0.87 mM), and GDP ($K_m$, 1.51 mM). The $K_m$ for sucrose was 29.4 mM. In the synthesis reaction, UDP-glucose ($K_m$, $24.1{\mu}M$) was a more effective glucosyl donor than ADP-glucose ($K_m$, 2.7 mM), and the $K_m$ for fructose was 5.4 mM. Divalent cations, such as $Ca^{2+}$, $Mg^{2+}$, and $Mn^{2+}$, stimulated the enzyme activity in both the cleavage and synthesis directions, and the enzyme was very sensitive to inhibition by $HgCl_2$ and $CuSO_4$.

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Self-terminated carbonation model as an useful support for durable concrete structure designing

  • Woyciechowski, Piotr P.;Sokolowska, Joanna J.
    • Structural Engineering and Mechanics
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    • 제63권1호
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    • pp.55-64
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    • 2017
  • The paper concerns concrete carbonation, the phenomena that occurs in every type of climate, especially in urban-industrial areas. In European Standards, including Eurocode (EC) for concrete structures the demanded durability of construction located in the conditions of the carbonation threat is mainly assured by the selection of suitable thickness of reinforcement cover. According to EC0 and EC2, the thickness of the cover in the particular class of exposure depends on the structural class/category and concrete compressive strength class which is determined by cement content and water-cement ratio (thus the quantitative composition) but it is not differentiated for various cements, nor additives (i.e., qualitative composition), nor technological types of concrete. As a consequence the selected thickness of concrete cover is in fact a far estimation - sometimes too exaggerated (too safe or too risky). The paper presents the elaborated "self-terminated carbonation model" that includes abovementioned factors and enables to indicate the maximal possible depth of carbonation. This is possible because presented model is a hyperbolic function of carbonation depth in time (the other models published in the literature use the parabolic function that theoretically assume the infinite increase of carbonation depth value). The paper discusses the presented model in comparison to other models published in the literature, moreover it contains the algorithm of concrete cover design with use of the model as well as an example of calculation of the cover thickness.