• Title/Summary/Keyword: Geometric realization

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ESSENTIAL SPECTRUM OF A WEIGHTED GEOMETRIC REALIZATION

  • Hatim, Khalid;Baalal, Azeddine
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.701-716
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    • 2021
  • In this present article, we construct a new framework that's we call the weighted geometric realization of 2 and 3-simplexes. On this new weighted framework, we construct a nonself-adjoint 2-simplex Laplacian L and a self-adjoint 2-simplex Laplacian N. We propose general conditions to ensure sectoriality for our new nonself-adjoint 2-simplex Laplacian L. We show the relation between the essential spectra of L and N. Finally, we prove the absence of the essential spectrum for our 2-simplex Laplacians L and N.

THE NIELSEN THEOREM FOR SEIFERT FIBERED SPACES OVER LOCALLY SYMMETRIC SPACES

  • RAYMOND, FRANK
    • Journal of the Korean Mathematical Society
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    • v.16 no.1
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    • pp.87-93
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    • 1979
  • In this note the geometric realization of a finite group of homotopy classes of self homotopy equivalences by a finite group of diffeomorphisms is investigated. In order for this to be accomplished an algebraic condition, which guarantees a certain group extension exists, must be satisfied. It is shown for a geometrically interesting class of aspherical manifolds, called injective Seifert fiber spaces over a locally symmetric space, that this necessary algebraic condition is also sufficient for geometric realization.

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A GEOMETRIC REALIZATION OF (7/3)-RATIONAL KNOT

  • D.A.Derevnin;Kim, Yang-Kok
    • Communications of the Korean Mathematical Society
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    • v.13 no.2
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    • pp.345-358
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    • 1998
  • Let (p/q,n) denote the orbifold with its underlying space $S^3$ and a rational knot or link p/q as its singular set with a cyclic isotropy group of order n. In this paper we shall show the geometrical realization for the case (7/3,n) for all $n \geq 3$.

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Engineering Construction With High-Precision Survey Equipment (3D laser scanner, 3D photo scanner, drone) (고정밀 측량장비(3D 레이저 스캐너, 3D 포토 스캐너, 드론)를 활용한 건축 시공단계의 엔지니어링 적용사례)

  • Krchung, Kwang-Ryang;Lee, Byoung-Do;Kim, Tae-Hyuk
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2019.05a
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    • pp.133-134
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    • 2019
  • As information and construction technology increases, the demand for sophisticated geometric design grows. Design of buildings is becoming more larger, higher, and complicated every day, requiring much new construction technology to bring the design into reality. Nonetheless, the speed of construction technology development is not as rapid. This study concerns the difficulties of realization of sophisticated geometric design. It aims to suggest using BIM and precision survey equipment during the construction stage of the project is a way to resolve. The study will list how to use BIM as an engineering platform incorporating a photo scanner, a scanner drone, and a 3D scanner in the construction stage of projects, how these progressive projects were able to benefit from the high-construction technology.

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THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY

  • Park, Jeong-Hyeong
    • Journal of the Korean Mathematical Society
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    • v.41 no.5
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    • pp.875-882
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    • 2004
  • Let (M,g) be a compact m dimensional Einstein manifold with smooth boundary. Let $\Delta$$_{p}$,B be the realization of the p form valued Laplacian with a suitable boundary condition B. Let Spec($\Delta$$_{p}$,B) be the spectrum where each eigenvalue is repeated according to multiplicity. We show that certain geometric properties of the boundary may be spectrally characterized in terms of this data where we fix the Einstein constant.ant.

Goal-oriented Geometric Model Based Intelligent System Architecture for Adaptive Robotic Motion Generation in Dynamic Environment

  • Lee, Dong-Hun;Hwang, Kyung-Hun;Chung, Chae-Wook;Kuc, Tae-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2568-2574
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    • 2005
  • Control architecture of the action based robot engineering can be divided into two types of deliberate type - and reactive type- controller. Typical deliberate type, slow in reaction speed, is well suited for the realization of the higher intelligence with its capability to forecast on the basis of environmental model according to time flow, while reactive type is suitable for the lower intelligence as it fits to the realization of speedy reactive action by inputting the sensor without a complete environmental model. Looking at the environments in the application areas in which robots are actually used, we can see that they have been mostly covered by the uncertain and unknown dynamic changes depending on time and place, the previously known knowledge being existed though. It may cause, therefore, any deterioration of the robot performance as well as further happen such cases as the robots can not carry out their desired performances, when any one of these two types is solely engaged. Accordingly this paper aims at suggesting Goal-oriented Geometric Model(GGM) Based Intelligent System Architecture which leads the actions of the robots to perform their jobs under variously changing environment and applying the suggested system structure to the navigation issues of the robots. When the robots do perform navigation in human life changing in a various manner with time, they can appropriately respond to the changing environment by doing the action with the recognition of the state. Extending this concept to cover the highest hierarchy without sticking only to the actions of the robots can lead us to apply to the algorithm to perform various small jobs required for the carrying-out of a large main job.

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Development of 3D Modeling System to Display the Cutting Shape of H-Beam Used in Ships and Ocean Plants (선박 및 해양 플랜트용 H-빔 절단을 위한 3차원 형상 모델링 구현 시스템 개발)

  • Park, Ju-Yong;Jo, Hyo-Jae;Lee, Ji-Hoon;Park, Ji-Yong
    • Journal of Ocean Engineering and Technology
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    • v.25 no.3
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    • pp.47-52
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    • 2011
  • 3D geometric modeling has a lot of advantages in the field of design and manufacturing. Many manufacturing processes and production lines are using 3D geometric modeling technique. These help reduce the cost and time for manufacturing. The purpose of this study is the realization of a 3D cutting shape for an H-Beam used in ships and ocean plants. The complex 3D cutting shapes could be represented by using the boolean operation of basic figures. Graphic functions with parameters were used to simply define the basic figures. The developed system can show the complex cutting shape of an H-beam simply and quickly. This system can be utilized for the automatic cutting system for an H-beam.

A Study of Future Fashion Image Showed in S.F Movie (S­F 영화속에 표현된 미래패션의 Image에 관한 연구)

  • 이은영;나은강
    • Journal of the Korea Fashion and Costume Design Association
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    • v.2 no.2
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    • pp.19-40
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    • 2000
  • It is supposed that the future fashion could be made by the scientist instead of fashion designer. Because it is so intellectual and avantguard. In addition to this the practical value and a certain identity is needed in this future fashion. Especially, the intention of no acceptance of categorization could be explained through the fashion clud of young people and the extremeness in the street. Paul Hedmus has insited that Tokyo club is closely related the fashion styles depended on the western historical street fashions. Fashion is mixeded contrasted, modified, resembled, reversed and finally it includes the new neaning. Instead of distinguishable logo there are lots of messages in the fashion. There are a few thousand of young people who wear silver max metal shoes. And they craze the neon picture and advertisement implies meaning the drug. It could be applied to the people of 90's. The difference between sex from the stone age is induced basically from the fashion and the part of discussion of sex. In this study we research the images of future fashion showed in SF Movie, Star Wars, Episode, The 5th Elements, Nirvana. Those were geometric and natural, technological expansion of space, corset fashion acessoruy image and geometric expression and these characteristics implied in modern fashion trend and future fashion images. Because it is supposed to the future image of current fashion. The millenium fashion is more realistic, practical, and natural instinct realization of ideal. but it is not the unrealistic, the vague of the regendary image.

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Early Abstract Paintings of Yoo Youngkuk (유영국의 초기 추상, 1937~1949)

  • Chung, Young-Mok
    • The Journal of Art Theory & Practice
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    • no.3
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    • pp.173-192
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    • 2005
  • Yoo Youngkuk started his career as an artist when he entered Bunkagakuin of Tokyo in 1935 he actively participated in the Japanese art scene as a young Korean artist until 1943. In his earliest works, Rhapsody and Work B, Surrealist and abstract influences are manifested as these were prevalent in Japan at the time. With the exception of Rhapsody and Work B, all works available that were executed between 1937 and 1940 are abstract, which points to the fact that Yoo intended abstraction from the beginning. Surviving works in relief suggest his early style was founded on the abstractions similar to Russian Avant-Garde, Neo-plasticism and Bauhaus simplicity. His early abstractions were not the ideational images derived in the process of the abstraction of the representational image, but they arose from the constructive attitude in composing the already stylized non-representational geometries. It is worth noting that his early emphasis was on the pure and absolute geometric abstraction, rather than the images motivated from the figurative representation. Yoo differentiates himself from Kim Whan Ki in the following aspects: one, he eliminated the subject matter i.e. human figures and the nature; two, he maintained the constructivist attitude in creating a strict and absolute abstraction; three, he experimented with different styles without combining them. He manifests direct influences from the prevalent Western art influences, such as Futurism and Russian Avant-Garde, unlike Kim who vaguely references. In both paintings and reliefs, Yoo's attempt in the realization of the pictorial depth and space seems cerebral and conceptualized compared with the other artists of the time who resolved abstraction via the constructive dimension. Uemura, a contemporary critic to the geometric abstractions in Japan, disapproves the stylistic bent in the adaptation of the abstract painting without the comprehension of its spiritual movement. As witnessed in other criticisms as well, contemporary Japanese critics' interest lie mainly in the superficial observation such as the presence of representational elements, composition and use of color. Such formal and superficial understanding of the geometric abstraction resulted in

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