• Title/Summary/Keyword: Space Convergence

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Analysis on Space and Architecture Examples of Toyo Ito from the Viewpoint of Functionalism - Focusing on Small-Sized Residental Spaces - (기능주의 관점에서의 이토 토요의 공간 및 건축 사례 분석 - 소규모 주거 공간 사례를 중심으로 -)

  • Han, Hyun Suk
    • Design Convergence Study
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    • v.16 no.6
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    • pp.59-74
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    • 2017
  • Louis Sullivan insisted, "Form follows function." Functionality is one of the most fundamental elements for users to use product or space, and "function" in space and architecture has the meaning of the most important factor in determining its form. In this way, from the viewpoint of "Functionalism," the research selected Toyo Ito to see how important elements pursued by Functionalism are related to his forms of creation. Small residential space projects of Toyo Ito from the early 1970s to the present are selected, so that the structure, material and space type of space and architecture can easily grasped and analyzed. Space and architectural structures and surfaces were classified into the characteristics of materials and classified according to the strength of openness of space. As a result, the space and architecture that pursue the function use a method that can maximize the efficiency of the function while excluding the whole decoration in order to highlight the function. The characteristics found in Toyo Ito's small-scale residential space can be defined as the formalization and simplification of the form, the openness of space, and the versatility of each element.

Interference Alignment Based Transceiver Design in OSG mode of HetNets

  • Niu, Qin;Zeng, Zhimin;Zhang, Tiankui;Hu, Zhirui
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.6
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    • pp.2014-2034
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    • 2015
  • This paper focuses on solving co-channel interference (CCI) issues arising in the open subscriber group (OSG) mode of heterogeneous networks (HetNets). Considering a general framework consisting of arbitrary number of picocells within a macro cell, where the inter-user interference (IUI) is the main CCI to macro user equipments (UEs), while the the inter-cell interference (ICI) is the major CCI to pico UEs. In this paper, three IA based transceiver design schemes are proposed. For macro cell, we uniformly use block diagonalization (BD) scheme to eliminate the IUI. And for picocells, three IA schemes are proposed to mitigate the ICI. The first scheme, named as zero forcing IA (ZF-IA) scheme, aligns the inter picocell interference onto an arbitrary sub-space of the cross-tier interference using ZF scheme. Considering the channel state information (CSI) of the desired channel of pico UEs, the second scheme, named as optimal desired sub-channel selected IA (ODC-IA) scheme, aligns the inter picocell interference onto a certain sub-space of the cross-tier interference, which guarantees the largest channel gain of the desired signal of pico UEs. The third IA scheme, named as maximum cross-tier interference selected IA (MI-IA) scheme, is designed for the system with less receive antennas. The inter picocell interference is aligned onto the space of the strongest cross-tier interference and only the interference on this space is nullified. The complexity analysis and simulations show that the proposed transceiver design schemes outperform the existing IA schemes in the OSG mode of HetNets, and the MI-IA scheme reduces the requirement of the receive antennas number with lower complexity.

Expanded Characteristics of JUUN. J's Fashion Design (준지(JUUN. J) 패션 디자인에 나타난 확장의 특성)

  • Yoon Joo Park;Gee Yun Hwang;Younhee Lee
    • Journal of the Korea Fashion and Costume Design Association
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    • v.25 no.3
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    • pp.165-184
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    • 2023
  • The purpose of this study is to analyze the expanded characteristics that can be found in the fashion designs of JUUN. J. For the study, the concept and discourse related to theme expansion have been theoretically reviewed, and various types of expansive characteristics were derived by reviewing prior research related to the keyword expanded characteristics. Photo data required for the analysis were collected through the official website of JUUN. J and Vogue, a worldwide fashion magazine. The scope of the survey was limited to 983 photographs collected from 28 collections from 2009 S/S through 2022 F/W. The results are as follows. First, the expansion of the human body, which is achieved by adding an empty space between the body and the clothing or using various materials to express the volume of the body, is expressed through two different forms in the designs of JUUN. J. Second, the expansion of time expresses the combination of different timelines, the meeting of the past and present or awe toward the unpredictable future. Third, the expansion of style, which is expressed by reinterpreting existing costumes or styles, is a type of expansion' that appears individually in the fashion designs of JUUN J. Such expansion of style can be found in the military inspired designs. Fourth, the expansion of space, which diversifies our perception of space by re-recognizing the concept of space, was implemented into the works and designs of JUUN. J through the convergence of different cultural aspects. Fifth, the expansion of gender, which is expressed through the continuous exploration of the borders of gender and the delivery of social messages, has appeared in the works of JUUN J. in the form of genderless design.

WEAK AND STRONG CONVERGENCE CRITERIA OF MODIFIED NOOR ITERATIONS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE

  • Banerjee, Shrabani;Choudhury, Binayak Samadder
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.493-506
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    • 2007
  • In this paper weak and strong convergence theorems of modified Noor iterations to fixed points for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces are established. In one theorem where we establish strong convergence we assume an additional property of the operator whereas in another theorem where we establish weak convergence assume an additional property of the space.

SUBSERIES CONVERGENCE AND SEQUENCE-EVALUATION CONVERGENCE

  • Cho, Min-Hyung;Hwang, Hong Taek;Yoo, Won Sok
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.331-339
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    • 1998
  • We show a series of improved subseries convergence results, e.g., in a sequentially complete locally convex space X every weakly $c_0$-Cauchy series on X must be $c_0$-convergent. Thus, if X contains no copy of $c_0$, then every weakly $c_0$-Cauchy series on X must be subseries convergent.

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Limits and Colimits in Fibrewise Convergence Spaces

  • Lee, Seok Jong;Lee, Seung On;Lee, Eun Pyo
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.75-84
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    • 1991
  • In this paper, we introduce the concept of the fibrewise convergence space as a generalization of both the notion of fibrewise topology and that of convergence. Furthermore we observe the adjoint ness and Galois correspondence between the category of fibrewise topological spaces and the category of fibrewise convergence spaces. Finally we investigate the limit and colimit structures in these categories.

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STRONG CONVERGENCE THEOREM OF FIXED POINT FOR RELATIVELY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Qin, Xiaolong;Kang, Shin Min;Cho, Sun Young
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.3
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    • pp.327-337
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    • 2008
  • In this paper, we prove strong convergence theorems of Halpern iteration for relatively asymptotically nonexpansive mappings in the framework of Banach spaces. Our results extend and improve the recent ones announced by [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006), 2400-2411], [X. Qin, Y. Su, Strong convergence theorem for relatively nonexpansive mappings in a Banach space, Nonlinear Anal. 67 (2007), 1958-1965] and many others.

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SOME GENERAL CONVERGENCE PRINCIPLES WITH APPLICATIONS

  • Zhou, H.Y.;Gao, G.L.;Guo, G.T.;Cho, Y.J.
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.3
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    • pp.351-363
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    • 2003
  • In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

INVARIANTS WITH RESPECT TO ALL ADMISSIBLE POLAR TOPOLOGIES

  • Cho, Min-Hyung;Hwang, Hong Taek
    • Korean Journal of Mathematics
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    • v.7 no.1
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    • pp.45-51
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    • 1999
  • Let X and Y be topological vector spaces. For a sequence {$T_j$} of bounded operators from X into Y the $c_0$-multiplier convergence of ${\sum}T_j$ is an invariant on topologies which are stronger (need not strictly) than the topology of pointwise convergence on X but are weaker (need not strictly) than the topology of uniform convergence on bounded subsets of X.

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BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES

  • Galperin, Anatoly M.
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.43-65
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    • 2015
  • We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.