• Title/Summary/Keyword: Space Convergence

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IMPLICIT DIFFERENCE APPROXIMATION FOR THE TWO-DIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION

  • Zhuang, Pinghui;Liu, Fawang
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.269-282
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    • 2007
  • In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique.

Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.11-22
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    • 2014
  • The sequence spaces $c^F$(M), $c^F_0$(M) and ${\ell}^F$(M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space

  • Suwannaut, Sarawut;Kangtunyakarn, Atid
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.69-88
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    • 2022
  • In this work, the three-step intermixed iteration for two finite families of nonlinear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading mapping in a Hilbert space. Some additional results are obtained. Finally, a numerical example in a space of real numbers is also given and illustrated.

U-City Service Space Realization Strategies in Digital Convergence Era (디지털융합시대의 U-City서비스 공간화 방안)

  • Cho, Chun-Man;Chung, Moon-Sub
    • Spatial Information Research
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    • v.18 no.2
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    • pp.77-88
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    • 2010
  • It is possible to evaluate hi-tech spatial services such as U-City services as part of the visible results from more than 10 years of public efforts and budgets on Korea National Digitalization. The U-City services are mainly based on ICT(Information and Communication Technology), but in the aspect of giving intelligence to the existing physical space, in principle, they are to be inter-connected with both spatial information and spatial plan. But, still there are few shared concepts for linking U-City services with spatial information and spatial plan. Therefore, under the proposition of the realization of Ubiquitous National Territory in the Digital Convergence Era, the purpose of the current study is to facilitate the balanced development among U-City services, national spatial data and spatial plan by proposing a new concept of Digital Convergence Space. Then, for its realization, regarding laws and policy arrangements are suggested.

A Study on the Space Composition of Dong-gok Jaesa (동곡재사(東谷齋舍)의 공간구성에 관한 연구(硏究))

  • Yoo, In-Ho;Ha, Heon-Jeong
    • Journal of the Korean Society of Industry Convergence
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    • v.12 no.3
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    • pp.121-128
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    • 2009
  • This study is for getting sacrificial service, discussing process of sacrificial rituals and understanding the composition of space in Dong-gok Jaesa. For these things, we're arranged for exact blueprint through actual survey and analyzed the architectural features. Dong-gok Jaesa has features which show centripetal space organization with strong closing sparsely. This is intended for sincerity during ritual which is processed without obstruction. This is a mixed form which is unified both straight dwelling and Jung Dang Hyeop Sil type. And this is for all functions which is necessary for Jaesa architecture in only one building. And this is used with organizing technique for space utility with connection of compartments and various enlargement and partition. Through these things, even though it is not a big Jaesa, it shows that this is Korea traditional composition of space technique according to several purposes.

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A research on Characteristics of the Spatial Compositions in Kindergarten -The Case Study of Kindergarten in Daegu Area- (피유치원의 공간구성적 특성에 관한 연구 -대구지역 유치원 사례를 중심으로-)

  • Jeong, Chang-Won
    • Journal of the Korean Society of Industry Convergence
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    • v.16 no.3
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    • pp.75-83
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    • 2013
  • The purpose of this study was to investigate its characteristics of the spatial compositions at several kindergartens in Daegu area. Through this, the study is intended to provide the basic data of the efficient building planning and facility operations in the kindergarten. The results of this study are as follows. 1) Recently, the spatial compositions of kindergarten was classified as education, educational aids, educational support, teacher / administration, and public service area. 2) The concept of special classroom space was set up in all the surveyed facilities. This space was used for small-scale events, meals, and game features. 3) Support staff, including teachers, are insufficient for the service space. 4) The size of total land area of the facility's public service area was affecting. 5) The Lobby and aisle space of the surveyed facilities was used as a multipurpose space. 6) In response to diverse educational content, the direction to plan should be seperated by multi-space.

PRETOPOLOGICAL CONVERGENCE QUOTIENT MAPS

  • Park, Sang-Ho
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.33-40
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    • 1996
  • A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

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A Multi-Sensor Module of Snake Robot for Searching Survivors in Narrow Space (협소 공간 생존자 탐색을 위한 뱀형 로봇의 다중 센서 모듈)

  • Kim, Sungjae;Shin, Dong-Gwan;Pyo, Juhyun;Shin, Juseong;Jin, Maolin;Suh, Jinho
    • The Journal of Korea Robotics Society
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    • v.16 no.4
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    • pp.291-298
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    • 2021
  • In this study, we present a multi-sensor module for snake robot searching survivors in a narrow space. To this end, we integrated five sensor systems by considering the opinions of the first responders: a gas sensor to detect CO2 gases from the exhalation of survivors, a CMOS camera to provide the image of survivors, an IR camera to see in the dark & smoky environment, two microphones to detect the voice of survivors, and an IMU to recognize the approximate location and direction of the robot and survivors. Furthermore, we integrated a speaker into the sensor module system to provide a communication channel between the first responders and survivors. To integrated all these mechatronics systems in a small, compact snake head, we optimized the positions of the sensors and designed a stacked structure for the whole system. We also developed a user-friendly GUI to show the information from the proposed sensor systems visually. Experimental results verified the searching function of the proposed sensor module system.

Comparison and Convergence of the Blank Space in Chinese and Japanese Graphic Design -Focusing on the Expression of Blank Space in Poster Design (중국과 일본 그래픽 디자인에서의 여백의 비교 및 융합연구 -포스터 디자인에서 여백 표현을 중심으로-)

  • Xie, Wenqian;Kim, Won-Seok
    • Journal of the Korea Convergence Society
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    • v.8 no.6
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    • pp.153-162
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    • 2017
  • Comparison and Convergence of the Blank Space in Chinese and Japanese Graphic Design This study discusses the philosophical foundation in Chinese and Japanese aesthetics. Most of the contemporary graphic designs in China lack influence or individual philosophy on aesthetics. In analyzing and comparing the use of blank-leaving in graphic design works showed that the traditional artistic sense of the blanks can enrich the cultural connotations of design and raise the artistic creation of the works. This paper used "convergence" to create a new approach on Chinese contemporary graphic design, especially on poster design. The application of blank-leaving in the graphic design has positive impact in the creation of excellent graphic design works that provide references and inspiration to develop a new blank on my own design.

A Study on the Ontological Meaning of Architectural Space of Suwon Hwaseong from the Viewpoint of Culture-Technology Convergence (문화기술 융합적 관점으로 본 수원 화성 건축공간의 존재론적 의미 연구)

  • Kim, Ji-Eun;Park, Eun-Soo
    • Korean Institute of Interior Design Journal
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    • v.23 no.3
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    • pp.100-107
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    • 2014
  • Traditional architectural space, which is a historical cultural heritage must be connected mutually as a organic flow of various elements such as the environment of the time, political background and values, rather than approaching with fragmentary point of view. The Silhak Philosophy, the basis of late Chosun society developed equity thoughts on the basis of ideology of humanism, and it asserted the promotion of technology and industry as a measure to realize the pursuit of truth which is practically useful. Thus, we could verify the possibility of convergent interpretation of cultural technology of Hwaseong architectural space through the humanistic viewpoint of pioneer spirit of Silhak Philosophy which regards human as a main agent of desire of life, and the pursuit of truth which is useful for reality, and the realization of ethical value by aesthetic practicalism. Based on this, the ontological meaning and value of Suwon Hwaseong by the viewpoint of convergence of culture and technology have been drawn as the construction of planned new town by the practice of filial duty, the plan of city space based on rational values, the realization of a metropolis where self-sufficient economic activities are possible, the introduction of thorough construction management system, the introduction of advanced culture and its creative application, and the application of scientifical knowledges and cutting-edge technology.