• Title/Summary/Keyword: complex space

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CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A NONFLAT COMPLEX SPACE FORM WHOSE STRUCTURE JACOBI OPERATOR IS ξ-PARALLEL

  • Kim, Nam-Gil
    • Honam Mathematical Journal
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    • v.31 no.2
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    • pp.185-201
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    • 2009
  • Let M be a real hypersurface with almost contact metric structure $({\phi},{\xi},{\eta},g)$ of a nonflat complex space form whose structure Jacobi operator $R_{\xi}=R({\cdot},{\xi}){\xi}$ is ${\xi}$-parallel. In this paper, we prove that the condition ${\nabla}_{\xi}R_{\xi}=0$ characterize the homogeneous real hypersurfaces of type A in a complex projective space $P_n{\mathbb{C}}$ or a complex hyperbolic space $H_n{\mathbb{C}}$ when $g({\nabla}_{\xi}{\xi},{\nabla}_{\xi}{\xi})$ is constant.

New Design for Linear Complex Precoding over ABBA Quasi-Orthogonal Space-Time Block Codes

  • Ran, Rong;Yang, Jang-Hoon;An, Chan-Ho;Kim, Dong-Ku
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.12C
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    • pp.1062-1067
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    • 2008
  • ABBA codes, a class of quasi-orthognal space-time block codes (QoSTBC) proposed by Tirkkonen and others, allow full rate and a fast maximum likelihood (ML) decoding, but do not have full diversity. In this paper, a linear complex precoder is proposed for ABBA codes to achieve full rate and full diversity. Moreover, the same diversity produce as that of orthogonal space-time block code with linear complex precoder (OSTBC-LCP) is achieved. Meanwhile, the size of the linear complex precoder can be reduced by half without affecting performance, which means the same complexity of decoding as that of the conventional ABBA code is guaranteed.

A NOTE ON REAL HYPERSURFACES OF A COMPLEX SPACE FORM

  • Ki, U-Hang;Kim, He-Jin
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.69-74
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    • 1989
  • Recently one of the present authors [2] asserted that a real hypersurface of a complex space form M$^{n}$ (c), c.neq.0, is of cyclic parallel if and only if AJ=JA and he showed also a complete and connected cyclic-parallel real hypersurface of M$^{n}$ (c), is congruent to type $A_{1}$, $A_{2}$ or A according as c>0 or c<0. A real hypersurface of a complex space form M$^{n}$ (c) is said to be covariantly cyclic constant if the cyclic sum of covariant derivative of the second fundamental form is constant. The purpose of the present paper is to extend theorem 3 and 4 in [2] when the hypersurfaces are of coveriantly cyclic constant, that is a real hypersurface of a complex space form M$^{n}$ (c), c.neq.0, is of covariantly cyclic constant if an only if AJ=JA, and a complete and connected covariantly cyclic constant real hypersurface of M$^{n}$ (c) is congruent to type $A_{1}$, $A_{2}$ or a according as c>0 or c<0.

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A Study on the Meme Features Appear in Renewal Space -Focusing on the Renewal Project of the Zollverein Coal Mine Industrial Complex in German- (재생 공간에 나타나는 밈(Meme)적 특성 연구 -독일의 졸페라인 탄광 지구 재생 사업을 중심으로-)

  • Lee, Hyun-Jin;Lee, Sang-Jun;Lee, Chan
    • Korean Institute of Interior Design Journal
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    • v.23 no.6
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    • pp.60-69
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    • 2014
  • The features of the cultural phenomenon, 'Hybrid Culture,' can be analyzed through the concept of 'Meme,' the cultural gene continuously evolves. The architectural meme also has an effect as the cultural symbol on a space. It can be the solution to the urban problems, lack of contextualization caused by reckless development. Therefore, this study aims to examine the characteristics of the sustainable and effective renewal space by applying the concept of Meme. Theoretical analysis, characteristics of expression, and case study are conducted to analyze the Meme features of the renewal space. Particularly, this study focuses on the Meme features appeared in the Zollverein Coal Mine Industrial Complex in German. The results obtained from this study is as written below. First, Meme renewal space is a design that can solve the contextual deficiency of architecture through the cultural renewal. Second, the true renewal space has the characteristics of meme space that organically changes as if an organism. Third, it is possible to conduct a detailed analysis on the organic characteristics according to the evolving phases-Mimesis, Memeplex, and Metameme. Fourth, the true meaning of sustainable renewal space is the Meme space encompasses the scope of urban. Lastly, the Meme space has a circulation system that each evolving phase, and new and old continuously exchange feedbacks.

Layout Plan Analysis of Communal Outdoor Space and Welfare Facilities for Senior Apartment - Focusing on Segok District 4th Complex in Gangnam-gu - (고령자 맞춤 아파트의 옥외 공용공간 및 부대·복리 시설 배치계획 분석 - 강남구 세곡지구 4단지를 중심으로 -)

  • Lee, Jeong-Lim;Hong, Won-Hwa;Kim, Tae-Woo;Choi, Jin-Won
    • Journal of the Korean housing association
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    • v.24 no.1
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    • pp.33-40
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    • 2013
  • This study has examined layout of communal outdoor space and welfare facilities in the nation's very first senior apartment complex in Segok-dong, Gangnam-gu that has been developed by Seoul City. In order for this space to play a role as a center of communication: 1) A center space of community should be created at the point of intersection of main moving lines of pedestrians. 2) Hierarchical area should be set up between main moving lines of walking and communal outdoor space. 3) It should be designed in a way to reflect demands of seniors and be accommodated their activities and behaviors. 4) It should be functionally connected to local infrastructure facilities so that it can promote social exchanges among seniors. Points to be considered in welfare facilities: 1) They should be placed at the center of the complex to provide convenience to all seniors. 2) Area of senior citizen center should be subject to flexible legal regulation in light of the unique characteristics of the Complex. 3) in case that welfare facilities are installed in the same space, intermediate space is required to alleviate collision between private space and public space. 4) Senior assistance facilities should put more emphasis on running programs that make good use of the space than on securing the space itself.

Comparative Analysis of the Design Elements for Public Space in Compact City type Multi-Use Complex - Focused on the Central City, COEX and Western Dome Facility - (디자인 계획요소로 본 컴팩트 시티형 복합용도시설의 공공공간 - 센트럴 시티, 코엑스, 웨스턴돔의 비교연구를 중심으로 -)

  • Kim, Sun-Young
    • Korean Institute of Interior Design Journal
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    • v.19 no.2
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    • pp.126-135
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    • 2010
  • As public space such as plaza and square in the compact city type multi-use complex is a social public space that various communication and cultural exchange take places in city environment. The purpose of this study is to analyse and categorize the design elements as a valuation basis for the public space in the compact city type multi-use complex. The scope of contents of this study is focused on the Central City, COEX and Western Dome facilities in Korea. This study review based on the previous studies and statistical analysis about questionnaires obtained from 131 users of three facilities were conducted for this study. The results of the survey as follows accessibility, comfort, exchange were extracted as the aspects for evaluation for functional activity and connection, openness, hierarchy were extracted as the aspects for evaluation for space formation. The K facility's priority aspect is the accessibility and the S and the W facilities' are the openness.

Multi-Dimensional Complex Emotional Model for Various Complex Emotional Expression using Human Friendly Robot System (인간 친화 로봇의 다양한 복합 감정 표현을 위한 다차원 복합 감정 모델 설계)

  • Ahn, Ho-Seok;Choi, Jin-Young
    • The Journal of Korea Robotics Society
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    • v.4 no.3
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    • pp.210-217
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    • 2009
  • This paper introduces a design of multi-dimensional complex emotional model for various complex emotional expression. It is a novel approach to design an emotional model by comparison with conventional emotional model which used a three-dimensional emotional space with some problems; the discontinuity of emotions, the simple emotional expression, and the necessity of re-designing the emotional model for each robot. To solve these problems, we have designed an emotional model. It uses a multi-dimensional emotional space for the continuity of emotion. A linear model design is used for reusability of the emotional model. It has the personality for various emotional results although it gets same inputs. To demonstrate the effectiveness of our model, we have tested with a human friendly robot.

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A Study on the exterior pedestrian passages evaluation through case studies of multi-family housing complex (공동주택단지 사례분석을 통한 외부보행로 평가 연구)

  • Kim, Sung Yong;Park, Jung Eun;Lee, Hyo-Won
    • KIEAE Journal
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    • v.8 no.1
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    • pp.61-70
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    • 2008
  • This paper is focused on studying a pedestrian passage that forms exterior space of the housing unit on diverse prerequisites and convenience of residential environment regards to plans for Multi-family Housing Complex. The paper explores the actual usage of a pedestrian passage installed in Multi-family Housing Complex and examine whether the nature-friendly space that includes the exterior pedestrian passage of the housing unit is being applied variously on a pedestrian passage. In order to obtain an analysis of the current status on case study unit, the study has prepared an analyzing tool for the environment in use for the exterior pedestrian passage and was able to construction problematic points by applying the obtained data. Thanks for the analysis, a comprehensive evaluation on the plans for the pedestrian passage was implemented through correlation with a green tract of land, living space and the exterior pedestrian passage installed in Multi-family Housing Complex.

NORMAL COMPLEX SYMMETRIC WEIGHTED COMPOSITION OPERATORS ON THE HARDY SPACE

  • Zhou, Hang;Zhou, Ze-Hua
    • Journal of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.799-817
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    • 2021
  • In this paper, we investigate the normal and complex symmetric weighted composition operators W𝜓,𝜑 on the Hardy space H2(𝔻). Firstly, we give the explicit conditions of weighted composition operators to be normal and complex symmetric with respect to conjugations 𝒞1 and 𝒞2 on H2(𝔻), respectively. Moreover, we particularly investigate the weighted composition operators W𝜓,𝜑 on H2(𝔻) which are normal and complex symmetric with respect to conjugations 𝓙, 𝒞1 and 𝒞2, respectively, when 𝜑 has an interior fixed point, 𝜑 is of hyperbolic type or parabolic type.

SOME RESULTS ON p-DISTANCE AND SEQUENCE OF COMPLEX UNCERTAIN VARIABLES

  • Roy, Santanu;Saha, Sangeeta;Tripathy, Binod Chandra
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.907-916
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    • 2020
  • In this paper, we introduce the notion of p-distance in a complex uncertain sequence space. By using the concepts of p-distance, we give some theorems of convergence. Also, in a complex uncertain sequence space, we develope some properties on convergence in measure.