• Title/Summary/Keyword: metric structure

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ON GENERIC SUBMANIFOLDS OF MANIFOLDS EQUIPPED WITH A HYPERCOSYMPLECTIC 3-STRUCTURE

  • Kim Jeong-Sik;Choi Jae-Dong;Tripathi Mukut Mani
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.321-335
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    • 2006
  • Generic submanifolds of a Riemannian manifold endowed with a hypercosymplectic 3-structure are studied. Integrability conditions for certain distributions on the generic submanifold are discussed. Geometry of leaves of certain distributions are also studied.

STRUCTURE JACOBI OPERATORS AND REAL HYPERSURFACES OF TYPE(A) IN COMPLEX SPACE FORMS

  • Ki, U-Hang
    • East Asian mathematical journal
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    • v.37 no.1
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    • pp.97-107
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    • 2021
  • Let M be a real hypersurface with almost contact metric structure (��, ξ, ��, g) in a nonflat complex space form Mn(c). We denote S and Rξ by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field ξ respectively. In this paper, we prove that M is a Hopf hypersurface of type (A) in Mn(c) if it satisfies Rξ�� = ��Rξ and at the same time satisfies $({\nabla}_{{\phi}{\nabla}_{\xi}{\xi}}R_{\xi}){\xi}=0$ or Rξ��S = S��Rξ.

Analysis of Luminance distribution of Illuminated Bridges by View (조망의 변화에 따른 교량경관조명의 휘도특성분석)

  • Choi, Yoon-Seok;Jeong, In-Young;Ahn, Hyun-Tae;Kim, Jeong-Tai
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.20 no.6
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    • pp.1-8
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    • 2006
  • The study is to analyze the surface luminance of the illuminated bridges according to the change of view point using luminance measurements with instrument CS-100 and ProMetric 1400. For the purpose the illuminated bridges of the structure type were sleceted. Also, the view points were classified the three types which are a perspective view, a building view, a driver view. The luminance of the surrounding sky, surface of river, upper structure or bridge, girder side, and pier or the objects was measured. As a result of this study, The Kwangjin and Dongho Bridge showed the luminance distribution of a perspective view was high. And the Olympic and Dongjac bridge the luminance distribution of building view was high. The luminance effect of the girder bridge that has no upper structure was distinguished for the perspective view, and the cable-stayed girder bridge and the arch bridge were characterized as the building view.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 OF A COMPLEX PROJECTIVE SPACE IN TERMS OF THE JACOBI OPERATOR

  • HER, JONG-IM;KI, U-HANG;LEE, SEONG-BAEK
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.1
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    • pp.93-119
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    • 2005
  • In this paper, we characterize some semi-invariant sub-manifolds of codimension 3 with almost contact metric structure ($\phi$, $\xi$, g) in a complex projective space $CP^{n+1}$ in terms of the structure tensor $\phi$, the Ricci tensor S and the Jacobi operator $R_\xi$ with respect to the structure vector $\xi$.

MAGNETIC CURVES IN ℍ3 × ℝ

  • Erjavec, Zlatko;Inoguchi, Jun-ichi
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1501-1511
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    • 2021
  • In this paper we study magnetic trajectories on ℍ3 × ℝ with respect to the strictly almost Kähler structure. We find three types of magnetic curves which correspond to the almost complex structure compatible to the product metric on ℍ3 × ℝ.

Certain Characterization of Real Hypersurfaces of type A in a Nonflat Complex Space Form

  • Ki, U-Hang
    • Kyungpook Mathematical Journal
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    • v.61 no.1
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    • pp.181-190
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    • 2021
  • Let M be a real hypersurface with almost contact metric structure (ϕ, ��, η, g) in a nonflat complex space form Mn(c). We denote S and R�� by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field �� respectively. In this paper, we prove that M is a Hopf hypersurface of type A in Mn(c) if it satisfies R��ϕ = ϕR�� and at the same time R��(Sϕ - ϕS) = 0.

Study on Dynamic Tip-over Analysis of Foldable Electric Wheelchair (접이식 전동휠체어의 동적 전도해석 연구)

  • Jang, Dae-Jin;Kim, Yong-Cheol;Kim, Shin-Ki;Mun, Mu-Sung;Park, Jong-Cheol
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.10 no.2
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    • pp.133-139
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    • 2016
  • An electric wheelchair is a assistive device to maneuver on the ground. Tip-over of an electric wheelchair is increasing every year. Dynamic stability metric test item in KS P 7176 has not ensured safety of electric wheelchair on the slope. This study presents design the foldable electric wheelchair that can load in the car and analysis of tip-over measurement which is easily computed for electric wheelchair. Wheelchair frame is designed with a four-bar link mechanism for a foldable structure, and seat module, battery and power driving module can be separated. This analysis is performed during a maneuver on the ground by force-moment stability metric. Several elements, center of gravity position, rotational radius and acceleration, were evaluated how to affect stability metric. This stability metric can reduce tip-over of wheelchair and provide a clue to make of dynamic stability test item.

A Study on the Analysis of Combined Strip by Multiple Method (Multiple Method에 의한 Strip 조합해석(組合解析)에 관한 연구(硏究))

  • Kang, Joon Mook;Oh, Won Jin;Han, Seung Hee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.89-95
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    • 1989
  • As most structures need all sided analysis, development of precise and ideal analytical techniques are required. In non-metric camera alone or metric and non-metric camera can be used for the purpose of measurement, the object will be analyzied economically and quickely. The purposes of this study are to suggest possibility of analysis of circular strip by means of Bundle Adjustment and to investigate efficiency of analytical method by combination of metric and non-metric camera. For these purposes, cylindrical structure was taken as the object and multiple convergent photographs changing ${\omega}$ and ${\phi}$, by which circular strip was formed, were analysed.

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K-Hop Community Search Based On Local Distance Dynamics

  • Meng, Tao;Cai, Lijun;He, Tingqin;Chen, Lei;Deng, Ziyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.7
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    • pp.3041-3063
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    • 2018
  • Community search aims at finding a meaningful community that contains the query node and also maximizes (minimizes) a goodness metric. This problem has recently drawn intense research interest. However, most metric-based algorithms tend to include irrelevant subgraphs in the identified community. Apart from the user-defined metric algorithm, how can we search the natural community that the query node belongs to? In this paper, we propose a novel community search algorithm based on the concept of the k-hop and local distance dynamics model, which can naturally capture a community that contains the query node. The basic idea is to envision the nodes that k-hop away from the query node as an adaptive local dynamical system, where each node only interacts with its local topological structure. Relying on a proposed local distance dynamics model, the distances among nodes change over time, where the nodes sharing the same community with the query node tend to gradually move together, while other nodes stay far away from each other. Such interplay eventually leads to a steady distribution of distances, and a meaningful community is naturally found. Extensive experiments show that our community search algorithm has good performance relative to several state-of-the-art algorithms.

Resource Metric Refining Module for AIOps Learning Data in Kubernetes Microservice

  • Jonghwan Park;Jaegi Son;Dongmin Kim
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.6
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    • pp.1545-1559
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    • 2023
  • In the cloud environment, microservices are implemented through Kubernetes, and these services can be expanded or reduced through the autoscaling function under Kubernetes, depending on the service request or resource usage. However, the increase in the number of nodes or distributed microservices in Kubernetes and the unpredictable autoscaling function make it very difficult for system administrators to conduct operations. Artificial Intelligence for IT Operations (AIOps) supports resource management for cloud services through AI and has attracted attention as a solution to these problems. For example, after the AI model learns the metric or log data collected in the microservice units, failures can be inferred by predicting the resources in future data. However, it is difficult to construct data sets for generating learning models because many microservices used for autoscaling generate different metrics or logs in the same timestamp. In this study, we propose a cloud data refining module and structure that collects metric or log data in a microservice environment implemented by Kubernetes; and arranges it into computing resources corresponding to each service so that AI models can learn and analogize service-specific failures. We obtained Kubernetes-based AIOps learning data through this module, and after learning the built dataset through the AI model, we verified the prediction result through the differences between the obtained and actual data.