• Title/Summary/Keyword: normal vector

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SEMI-INVARINAT SUBMANIFOLDS OF CODIMENSION 3 SATISFYING ${\nabla}_{{\phi}{\nabla}_{\xi}{\xi}}R_{\xi}=0$ IN A COMPLEX SPACE FORM

  • Ki, U-Hang
    • East Asian mathematical journal
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    • v.37 no.1
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    • pp.41-77
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    • 2021
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (��, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ = R(·, ξ)ξ and A(i) be Jacobi operator with respect to the structure vector field ξ and be the second fundamental form in the direction of the unit normal C(i), respectively. Suppose that the third fundamental form t satisfies dt(X, Y ) = 2��g(��X, Y ) for certain scalar ��(≠ 2c)and any vector fields X and Y and at the same time Rξ is ��∇ξξ-parallel, then M is a Hopf hypersurface in Mn(c) provided that it satisfies RξA(1) = A(1)Rξ, RξA(2) = A(2)Rξ and ${\bar{r}}-2(n-1)c{\leq}0$, where ${\bar{r}}$ denotes the scalar curvature of M.

Modified Component Mode Synthesis Method Using Ritz Vectors (Ritz 벡터를 이용한 수정 분할구조해석법)

  • 이인원;김동옥
    • Journal of KSNVE
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    • v.3 no.1
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    • pp.77-82
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    • 1993
  • In general, the dynamic analysis with FEM(Finite Element Method) of large structures requires large computer memory space and long computational time. For the purpose of economical dynamic analysis of large structures, most of engineers want to use an efficient solution algorithm. This paper reports the modified CMS(Component Mode Synthesis) method which uses more efficient algorithm than the classical CMS method. In this paper, it is shown that Ritz vector sets can play the role of normal mode vector sets of substurctures in the CMS algorithm. The modified CMS method has good convergence performance compared with that of the classical CMS method.

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A compensated algorithm for dirction-of-arrival estimationof the linear array with faulty sensors (결함센서를 갖는 선형 어레이의 방향 추정을 위한 보정 알고리듬)

  • 김기만;윤대희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.7
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    • pp.1574-1578
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    • 1997
  • In this paper, some problems that occur from faulty elements in a direction finding system composed of the linear array are studied and the method which improves the performance is proposed. The faulty element means the sensor that has no output or highly reduced gain than other normal sensors. In the presence method, the ocrrecting vector is calculated by maximizing the spatial spectrum subject to a constraint. The compensated spatial spectrum is obtained by this vector. The computer simulations have been performance to study the performance of the proposed method.

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Improvement of the Modified James-Stein Estimator with Shrinkage Point and Constraints on the Norm

  • Kim, Jae Hyun;Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.6 no.4
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    • pp.251-255
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    • 2013
  • For the mean vector of a p-variate normal distribution ($p{\geq}4$), the optimal estimation within the class of modified James-Stein type decision rules under the quadratic loss is given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}{\theta}-\bar{\theta}1{\parallel}$ it known.

SUBMANIFOLDS OF CODIMENSION 2 OF ODD-DIMENSIONAL SPHERES

  • Shin, Yong-Ho
    • East Asian mathematical journal
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    • v.16 no.2
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    • pp.383-390
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    • 2000
  • This paper is to show that a submanifold of codimension 2 of an odd-dimensional sphere with an almost contact metric structure is an intersection of a complex cone with generator as a normal vector and a sphere.

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In vitro Propagation of Transgenic Ginsengs Introduced with Ferritin Light Heavy Chain Gene through Single Embryo Culture (Ferritin Light Heavy Chain 유전자가 도입된 인삼형질전환체의 단일배발생을 통한 식물체의 기내증식)

  • 윤영상;김종학;김무성;양덕춘
    • Korean Journal of Plant Resources
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    • v.17 no.2
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    • pp.161-168
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    • 2004
  • Optimal regeneration conditions of ginseng transformants were studied. It has been known that Ferritin Light Heavy Chain (FLHC) gene remove the several heavy metal by combination, store and transport. To obtain the ginseng tolerant to heavy metal, binary vector was introduced in Agrobacterium by tri-parental mating and then Agrobacterium tumefaciens MP90/FLHC was selected on the AB media and MS media containing kanamycin. Explants were co-cultured with Agrobacterium tumefaciens MP90/FLHC, which contained NPT II as a selectable marker, tadpole ferritin heavy chain (FLHC) gene and human ferritin light chain gene and then a number of embryos were induced. The induced embryo transferred to shooting media consisting of MS medium supplemented with GA 10 mg/L. As a result of examination that induced the normal growth of transfomants, transformants showed the equivalent growth in both root and shoot on the media containing the 1/3 MS.

Indoor environment recognition based on depth image (깊이 영상 기반 실내 공간 인식)

  • Kim, Su-Kyung;Choi, Hyung-Il
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.11
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    • pp.53-61
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    • 2014
  • In this paper, we propose a method using an image received by the depth camera in order to separate the wall in a three-dimensional space indoor environment. Results of the paper may be used to provide valuable information on the three-dimensional space. For example, they may be used to recognize the indoor space, to detect adjacent objects, or to project a projector on the wall. The proposed method first detects a normal vector at each point by using the three dimensional coordinates of points. The normal vectors are then clustered into several groups according to similarity. The RANSAC algorithm is applied to separate out planes. The domain knowledge helps to determine the wall among planes in an indoor environment. This paper concludes with experimental results that show performance of the proposed method in various experimental environment.

Real Hypersurfaces with Invariant Normal Jacobi Operator in the Complex Hyperbolic Quadric

  • Jeong, Imsoon;Kim, Gyu Jong
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.551-570
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    • 2020
  • We introduce the notion of Lie invariant normal Jacobi operators for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SOom,2/SOmSO2. The invariant normal Jacobi operator implies that the unit normal vector field N becomes 𝕬-principal or 𝕬-isotropic. Then in each case, we give a complete classification of real hypersurfaces in Qm∗ = SOom,2/SOmSO2 with Lie invariant normal Jacobi operators.

Comparative study on dynamic analyses of non-classically damped linear systems

  • Greco, Annalisa;Santini, Adolfo
    • Structural Engineering and Mechanics
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    • v.14 no.6
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    • pp.679-698
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    • 2002
  • In this paper some techniques for the dynamic analysis of non-classically damped linear systems are reviewed and compared. All these methods are based on a transformation of the governing equations using a basis of complex or real vectors. Complex and real vector bases are presented and compared. The complex vector basis is represented by the eigenvectors of the complex eigenproblem obtained considering the non-classical damping matrix of the system. The real vector basis is a set of Ritz vectors derived either as the undamped normal modes of vibration of the system, or by the load dependent vector algorithm (Lanczos vectors). In this latter case the vector basis includes the static correction concept. The rate of convergence of these bases, with reference to a parametric structural system subjected to a fixed spatial distribution of forces, is evaluated. To this aim two error norms are considered, the first based on the spatial distribution of the load and the second on the shear force at the base due to impulsive loading. It is shown that both error norms point out that the rate of convergence is strongly influenced by the spatial distribution of the applied forces.

Dynamic Obstacle Avoidance of a Mobile Robot Using a Collision Vector (충돌 벡터를 이용한 이동로봇의 동적 장애물 회피)

  • Seo, Dae-Geun;Lyu, Eun-Tae;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.7
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    • pp.631-636
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    • 2007
  • An efficient obstacle avoidance algorithm is proposed in this paper to avoid dynamic obstacles using a collision vector while a tele-operated mobile robot is moving. For the verification of the algorithm, an operator watches through a monitor and controls the mobile robot with a force-reflection joystick. The force-reflection joystick transmits a virtual force to the operator through the Inter-net, which is generated by an adaptive impedance algorithm. To keep the mobile robot safe from collisions in an uncertain environment, the adaptive impedance algorithm generates the virtual force which changes the command of the operator by pushing the operator's hand to a direction to avoid the obstacle. In the conventional virtual force algorithm, the avoidance of moving obstacles was not solved since the operator cannot recognize the environment realistically by the limited communication bandwidth and the narrow view-angle of the camera. To achieve the dynamic obstacle avoidance, the adaptive virtual force algorithm is proposed based on the collision vector that is a normal vector from the obstacle to the mobile robot. To verify the effectiveness of the proposed algorithm, mobile robot navigation experiments with multiple moving obstacles have been performed, and the results are demonstrated.