• Title/Summary/Keyword: Sequence spaces

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An Exploratory Study on Urban Parks and Green Space System in Terms of the Open Space Network - Focused on the City of Daejeon - (오픈스페이스 네트워크 측면에서의 도시공원녹지체계에 관한 탐색적 연구 - 대전광역시를 대상으로 -)

  • Lee, Shi-Young;Lim, Byong-Ho;Shim, Joon-Young
    • Journal of the Korean Institute of Landscape Architecture
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    • v.37 no.5
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    • pp.53-63
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    • 2009
  • This study aims at presenting a plan to build an open space network system in the city of Daejeon, assuming that parks and the green space system as a broad concept are to make a network by connecting open spaces such as parks, green spaces, squares, pedestrian roads, historical spots, etc. In the case of old downtown in Daejeon, this study examined the possibility of applying an open space network in the city of Daejeon and categorize them according to the findings from examining the case area, which enables to make a plan for building an open space network system in Daejeon. As a result, public offices and business buildings as an active open space have public open spaces in front of buildings and these front public open spaces are connected to pedestrian roads(gray open space). Since these pedestrian roads are consequently connected to large parks and rivers(green or blue open space), this overall spatial sequence can form an open space system. In addition, parks and green spaces, which have been fundamental elements so far, exist in relatively small and scattered areas at the center of the city. Hence, more parks and green space are needed to improve a park and green space system. However, it is very difficult to create new parks and green spaces in downtown, especially in old downtown areas. Therefore making an open space network system which spreads out over the whole city will form a healthy open space network in the downtown area.

COMPLEX BORDISM OF CLASSIFYING SPACES OF THE DIHEDRAL GROUP

  • Cha, Jun Sim;Kwak, Tai Keun
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.185-193
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    • 1997
  • In this paper, we study the $BP_*$-module structure of $BP_*$(BG) mod $(p,v_1,{\cdots})^2$ for non abelian groups of the order $p^3$. We know $grBP_*(BG)=BP_*{\otimes}H(H_*(BG);Q_1){\oplus}BP^*/(p,v_1){\otimes}ImQ_1$. The similar fact occurs for $BP_*$-homology $grBP_*(BG)=BP_*s^{-1}H(H_*(BG);Q_1){\oplus}BP_*/(p,v)s^{-1}H^{odd}(BG)$ by using the spectral sequence $E^{*,*}_2=Ext_{BP^*}(BP_*(BG),BP^*){\Rightarrow}BP^*(BG)$.

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SEQUENCES IN THE RANGE OF A VECTOR MEASURE

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.15 no.1
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    • pp.13-26
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    • 2007
  • We prove that every strong null sequence in a Banach space X lies inside the range of a vector measure of bounded variation if and only if the condition $\mathcal{N}_1(X,{\ell}_1)={\Pi}_1(X,{\ell}_1)$ holds. We also prove that for $1{\leq}p<{\infty}$ every strong ${\ell}_p$ sequence in a Banach space X lies inside the range of an X-valued measure of bounded variation if and only if the identity operator of the dual Banach space $X^*$ is ($p^{\prime}$,1)-summing, where $p^{\prime}$ is the conjugate exponent of $p$. Finally we prove that a Banach space X has the property that any sequence lying in the range of an X-valued measure actually lies in the range of a vector measure of bounded variation if and only if the condition ${\Pi}_1(X,{\ell}_1)={\Pi}_2(X,{\ell}_1)$ holds.

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Subnormality and Weighted Composition Operators on L2 Spaces

  • AZIMI, MOHAMMAD REZA
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.345-353
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    • 2015
  • Subnormality of bounded weighted composition operators on $L^2({\Sigma})$ of the form $Wf=uf{\circ}T$, where T is a nonsingular measurable transformation on the underlying space X of a ${\sigma}$-finite measure space (X, ${\Sigma}$, ${\mu}$) and u is a weight function on X; is studied. The standard moment sequence characterizations of subnormality of weighted composition operators are given. It is shown that weighted composition operators are subnormal if and only if $\{J_n(x)\}^{+{\infty}}_{n=0}$ is a moment sequence for almost every $x{{\in}}X$, where $J_n=h_nE_n({\mid}u{\mid}^2){\circ}T^{-n}$, $h_n=d{\mu}{\circ}T^{-n}/d{\mu}$ and $E_n$ is the conditional expectation operator with respect to $T^{-n}{\Sigma}$.

A Study on Hygienic Space Planing of a University Student Restaurant - Focused on the customer space in E University Student Restaurant in Seoul Applying HACCP - (대학 학생 식당의 위생적 공간 계획에 관한 연구 - 서울 E 대학 학생 식당 고객 공간에 HACCP 적용 중심으로 -)

  • Lee, Jong-Ran
    • Korean Institute of Interior Design Journal
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    • v.20 no.3
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    • pp.182-189
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    • 2011
  • This research suggests a way of hygienic space planing of the customer space in the university student restaurant of E University in Seoul. For this study. the behavior observation in the restaurant was conducted in order to analyze the sequence of customer behavior related space planing applying HACCP (Hazard Analysis And Critical Control Point). Also the survey was conducted to analyze opinions of customers about hygiene of the space. The results of the analyses of the observation and the survey were similar in terms of hygiene. In conclusion, for hygienic space planing of the customer space in restaurant, the space circulation should be planned according to the hygienic sequence of customer behavior. The spaces in restaurant should be divided into two areas: the clean area and the contaminated area to prevent cross-contamination. The clean area, such as spaces preparing dishes and food including water and table hall where customers eat, should be separated from the contaminated area such as the spaces where waste is handled and where dirty dishes are kept. In order to prevent cross-contamination, hygiene facility to remove contamination should be located before going to the clean area. More specifically, the hygiene facility should be located between a cash counter and a space preparing dishes so that customers can wash their hands before they touch dishes. Space arrangement with feed-back process to check the possible points of cross-contamination and correct space arrangement until the possibility of cross-contamination is removed in the restaurant.

Study on Effective Sensing Algorithm for Distinction between DTV and CR Systems (DTV와 CR 시스템의 구별을 위한 효과적 알고리즘)

  • Lee, So-Young;Kim, Yoon-Hyun;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.9 no.6
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    • pp.37-42
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    • 2009
  • Cognitive radio (CR), which is proposed as a technology that utilizes the frequency resources effectively, has studied to relive scarcity of the frequency resources. Also, FCC revises the regulation to reuse the TV white spaces for applying CR system and allows to use the TV white spaces by CR devices and use of CR device may be regularized after conversion by DTV in 2009. If CR system's signal appeared in pilot's position, pilot sensing performs false alarm detection because pilot sensing scheme confuse DTV signal and CR system. In order to improve false alarm detection, we propose distinction scheme between DTV and CR system using PN511 sequence in this paper.

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A Study on Changes in the Relationship of Spaces with a New Structural Concept of Body (새로운 몸의 구조적 개념에 따른 공간의 관계성 변화에 관한 연구)

  • Lee, Jong-Se;Kim, Joo-Yun
    • Korean Institute of Interior Design Journal
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    • v.16 no.1 s.60
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    • pp.48-55
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    • 2007
  • Proceedings in a new field of sciences and technologies like genetic engineering challenge to conventional concepts. It demonstrates a certain disappearance in conventional concepts that dominants our perceptions, such as organic, mechanical, and dichotomic concept of informative materials, and that is to be extended as a potential possibility. Then, what is a new space where our bodies that feel and cherish in their mind should live in these days as well as it makes senses by itself and should affect the principle that makes worlds? In addition, this study proposes a frame in the analysis in order to understand a section of modern designs with the question of 'what is the change in the relationship between relative structures in spaces and objects from a design point of view according to new structural concepts of body?' The major point of this analysis can be realized based on the assumption of the extension of the characteristics in the change of structural relationship in the aspect of post structuralism that includes non-structuralized relationship represented in modern philosophy, arts, and architectural works. Then, it can be accomplished as positive ideas in the foundation of space designs in future including the understand of 'new structural relationship' that can't be expressed as rationality and causal sequence by considering how the experiment conducted using several topics on body can be projected onto spaces through the process applied in the experiment.

MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES

  • Alam, Aftab;Imdad, Mohammad
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.61-81
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    • 2016
  • In this paper, we prove some existence and uniqueness results on coincidence points for g-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. 132 (2004), no. 5, 1435-1443) and Nieto and $Rodr{\acute{i}}guez$-$L{\acute{o}}pez$ (Acta Math. Sin. 23 (2007), no. 12, 2205-2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.

GENERAL NONLINEAR VARIATIONAL INCLUSIONS WITH H-MONOTONE OPERATOR IN HILBERT SPACES

  • Liu, Zeqing;Zheng, Pingping;Cai, Tao;Kang, Shin-Min
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.263-274
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    • 2010
  • In this paper, a new class of general nonlinear variational inclusions involving H-monotone is introduced and studied in Hilbert spaces. By applying the resolvent operator associated with H-monotone, we prove the existence and uniqueness theorems of solution for the general nonlinear variational inclusion, construct an iterative algorithm for computing approximation solution of the general nonlinear variational inclusion and discuss the convergence of the iterative sequence generated by the algorithm. The results presented in this paper improve and extend many known results in recent literatures.

A SYSTEM OF NONLINEAR PROJECTION EQUATIONS WITH PERTURBATION IN HILBERT SPACES

  • Zhou, Li-Wen;Cho, Yeol-Je;Huang, Nan-Jing
    • East Asian mathematical journal
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    • v.24 no.2
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    • pp.191-199
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    • 2008
  • In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approximating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the algorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions.

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