• Title/Summary/Keyword: modular function

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GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ 21 (mod 36)

  • Jeon, Daeyeol
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.921-925
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    • 2011
  • A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}21$ (mod 36).

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ -3 (mod 36)

  • Jeon, Daeyeol
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.853-860
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    • 2010
  • A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}-3$ (mod 36).

A Study on the Architectural Paradigms expressed in Fashion since 1990s -Focusing on the Similarity of Spatial Construction Systems- (1990년대 이후 패션에 나타난 건축적 패러다임에 관한 연구 -공간구성 방식의 유사성을 중심으로-)

  • Yang, Hee-Young;Yang, Sook-Hi
    • Journal of the Korean Society of Costume
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    • v.56 no.7 s.107
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    • pp.85-100
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    • 2006
  • Fashion related with architectural paradigms includes concept of the space utilization beyond fashions field. Such a fashions concept is able to enlarge as a spatial system like architecture. Interface between fashion and architecture is originated in thinking of the rhizome, which understands fashions field within various relationships between environment of the city and fashion. The existing construction systems of fashion is not sufficient in fashions roles as the space that wearing changing body continuously. Consequently, accommodation of architectural paradigms in fashion depends on new recognition about function and space. Architectural paradigms expressed in fashion since 1990s was classified as follows: 1 modular system of Le Corbusier & Archigram, 2 deconstruction, 3 reconstruction, 4 nomadic architecture. Such a paradigms has been easy to combination among fashion and architecture and furniture. Deconstruction and reconstruction fashion revealed process toward completion, and reappeared architectural consideration about process of change toward incompletion. There are acknowledged formative characteristics as follows: mobility, changeability, multi-function, mutual combinative, openness, and fluidity. This study shows that fashion is essential device determined city environment construction in 21C, and revels that fashion has been highlighted as a presage of new spatial economy received architectural construction systems.

Development of the Modular PCS for ESS with Hot-swap Function (핫스왑 기능을 가지는 에너지저장시스템용 모듈라 PCS 개발)

  • Ahn, Kang-Soon;Lee, Sang-Taek;Oh, Yong-Seung
    • Journal of the Korea Convergence Society
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    • v.9 no.3
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    • pp.31-37
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    • 2018
  • Energy Storage System(ESS) is a system that maximizes energy efficiency by selectively storing and using the generated power when needed. Therefore, energy must be able to be charged or supplied at any time, and non-operating time should be minimized even in the case of failure or maintenance. However, current large-capacity energy storage systems must be shut down during maintenance due to structural problems. In this paper, we propose a PCS for 1MW ESS by configuring modular for large capacity ESS in parallel and verified of the hot swap technology that can replace, change, and repair the components that make up the system while keeping the system operating.

A Study on Characteristics of Well-being Fashion Design in Digital Environment (디지털 환경의 웰빙 패션 디자인에 관한 연구)

  • Kim, Ji-Eon
    • The Research Journal of the Costume Culture
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    • v.15 no.5
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    • pp.796-809
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    • 2007
  • The viewpoint of growth pursuit is changed to that of life quality's and happiness' pursuit by modern people. Modern people in digital environment, tired of fast-changing and oppressive daily life, prefer well-being trend providing tranquility and relaxation. Well-being is related to digital, because negative influences of digital lead human-oriented, environment-friendly well-being design. Therefore the purpose of this study is to research and analyze the relation of well-being fashion design and digital environment through case study in contemporary well-being fashion design. The results of this study are as follows: 1. This study shows that the attributes of digital environment make up function-intensive, interactivity, mobility & nomad, human & emotion-oriented and environment-friendly. And this study shows the design characteristics of digital environment consist of function-intensive design by digital convergence, open structure design for interactivity, modular design for mobility & nomad, emotion-oriented & multi-sensory design and environment- friendly design. 2. Function-intensive design in modem well-being fashion composed of vogue of caports style(casual+sports), practical use of multi-functional new-healthy textiles, and popularity of many style's mixture at once. Open structure design consist of wrapover design, use of transparent materials. Modular design are layered styling, practical use of zipper and velcro. Emotion-oriented & multi-sensory design are constitute of fad of wrinkle materials, application of bright & vivid tone, personal color and family look. Environment-friendly design in contemporary well-being fashion are comprised in use of natural color, re-advent of natural floral motif and eco-design.

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Intelligent Hybrid Modular Architecture for Multi Agent System

  • Lee, Dong-Hun;Baek, Seung-Min;Kuc, Tae-Yong;Chung, Chae-Wook
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.896-902
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    • 2004
  • The purpose of the study of multi-robot system is to realize multi-robot system easy for the control of robot system in case robot is adapted in the complicated environment of task structure. The purpose of the study of multi-robot system is to realize multi-robot system easy for the control of robot system in case robot is adapted in the complicated environment of task structure. To make real time control possible by making effective use of recognized information in this dynamic environment, suitable distribution of tasks should be made in consideration of function and role of each performing robots. In this paper, IHMA (Intelligent Hybrid Modular Architecture) of Intelligent combined control architecture which utilizes the merits of deliberative and reactive controllers will be suggested and its efficiency will be evaluated through the adaptation of control architecture to representative multi-robot system.

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Development of Modulated Planar Cam-Linkage Mechanism Design Software (평면 캠-링크 복합 기구용 설계 소프트웨어 개발)

  • Yang, Hyun-Ik;Yu, Ho-Yune
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.1 s.94
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    • pp.125-131
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    • 1999
  • For linkage mechanisms driven by a cam, cam profile is the major design factor and is determined by the cam follower motion. If a cam mechanism has additional kinematic linkage besides cam and follower then the follower motion should be specified from the motion of end linkage member so that cam would be able to generate the desired end linkage motion. In this paper, a cam-linkage mechanism is constructed with the combinations of modular linkage elements including cam and follower and as a result, a planar cam-linkage mechanism design software with the cam profile optimization function is developed and presented.

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Seven axis modular type pneumatic manipulator development (7축 모듈라형 공기압 매니퓰레이터 개발)

  • 김동수;김용채;김형의
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.968-973
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    • 1991
  • Seven axis modular type pneumatic manipulator is composed of electro-pneumatic automation system which contributes to factory automation by performing loading & unloading process successively which is simple routine work of dealing item of machine tool, catapult, assembly machine, welding machine and so on. In this study, we obtained soft and quick movement in a large space and good reliability motion of various function by combining several actuators which perform rotation movement as well as linear movement at the same time. Gripper which apply to rotary sensor transmitted a structure to demanded position. This development item of 5kgf load prevent stick-slip phenomena of stroke end by designing high cushion internal. We develope flexible manipulator which conforms to demand of user by applying multiple sequence program.

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Development of Modular DEAS (mDEAS) and its Application to Optimal Trajectory Generation of Biped Walking (최적화 기법인 mDEAS의 개발 및 휴머노이드 이족보행 시 최적 관절궤적 생성에의 적용)

  • Kim, Eun-Su;Kim, Jo-Hwan;Kim, Jong-Wook
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.2
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    • pp.382-390
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    • 2009
  • This paper newly proposes a modular type dynamic encoding algorithm for searches (DEAS) which partitions the whole parameters into several modules and carries out exhaustive DEAS for each module. uDEAS is used to measure parameter sensitivities to the cost function, and the variables whose sensitivities are similar are grouped to make a module. The proposed optimization method is applied to optimal trajectory generation for biped walking of a humanoid. and the optimization result is compared with those of the former versions of DEAS.