• Title/Summary/Keyword: Connecting space

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TRAVELING WAVE SOLUTIONS FOR A SHALLOW WATER MODEL

  • Jung, Soyeun
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.649-654
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    • 2017
  • In this note, we seek traveling wave solutions of a shallow water model in a one dimensional space by a simple but rigorous calculation. From the profile equation of traveling wave solutions, we need to investigate the phase portrait of a one dimensional ordinary differential equation $\tilde{u}^{\prime}=F(\tilde{u})$ connecting two end states of the traveling wave solution.

NOTES ON THE MINKOWSKI MEASURE, THE MINKOWSKI SYMMETRAL, AND THE BANACH-MAZUR DISTANCE

  • Huang, Xing
    • Journal of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.695-704
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    • 2018
  • In this paper we derive some basic inequalities connecting the Minkowski measure of symmetry, the Minkowski symmetral and the Banach-Mazur distance. We then explore the geometric contents of these inequalities and shed light on the structure of the quotient 𝔅/Aff of the space of convex bodies modulo the affine transformations.

INTERPOLATION FOR HILBERT-SCHMIDT OPERATOR AND APPLICATION TO OPERATOR CORONA THEOREM

  • Kang, Joo-Ho;Ha, Dae-Yeon;Baik, Hyoung-Gu
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.341-347
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    • 2002
  • Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_i = Y_i$, for i = 1,2…, n. In this paper, we investigate Hilbert-Schmidt interpolation problems in tridiagonal algebra by connecting the classical corona theorem.

A self-consistent model for the formation and eruption of a solar prominence

  • Magara, Tetsuya
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.47.2-47.2
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    • 2021
  • The present study is focused on origins of the flow and magnetic structure involved in the formation and eruption of a solar prominence. To clarify them, we performed an MHD simulation based on the 3-dimensional emerging flux tube (3DEFT) model, in which self-consistent evolution of a flow and magnetic field passing freely through the solar surface was obtained by seamlessly connecting subsurface dynamics with surface dynamics. By analyzing Lagrangian displacements of magnetized plasma elements, we demonstrate the flow structure which is naturally incorporated to the magnetic structure of the prominence formed via dynamic interaction between the flow and magnetic field.

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A Study on Characteristics of Spatial Composition of Japanese Contemporary Detached House - Focused on Family Composition - (가족형태에 따른 일본단독주택 공간구성의 특징 - 일본건축학회 작품선집(作品選集)(건축잡지(建築雜誌) 증간(增刊): 2006-2010)에 수록된 주택을 중심으로 -)

  • Lee, Jeong-Mee
    • Journal of the Korean housing association
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    • v.23 no.6
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    • pp.39-47
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    • 2012
  • In this study, it was analyzed that, the way of securing publicity and privacy in family and type of public space of the Japanese contemporary detached house, by the composition type of family from one person home to four generation family home. Mostly the living room is made as open plan of LDK type. Mostly, the entrance hall is separate with living room. Even if the case of the entrance hall is connected with living room, it is planned to be recognized as entrance hall, by making entrance poach or connecting it with stair hall. In many case, the public space is designed as traditional Japanese style, such as wellhole style space (吹拔け), courtyard, and Japanese style room (和室). The Japanese style room is adjacent to living room, and used as the space of receiving guests. The wellhole style space and courtyard are recognized as the center of the house, and used as buffer space for ensuring privacy of each generation. The most different point between bachelor house and multi generation family house is another LDK space, living room or kitchen for parents' generation is made separately. Particularly there are many case of making separate small kitchen space, therefore it can be known that, the separation of kitchen space is recognized more importantly than that of living room. And there are many case of making separate entrance hall, two houses under one roof. The spatial composition like this can said as rational method of ensuring the privacy of each generation, and using the public space together as necessary.

A Study on the Hierarchical Organization of the Exterior Space in the Multi-Family Housing Complexes in the Urban Area - By Analysing the Exterior Space in Korean Traditional Architecture - (도시 집합주거의 외부공간의 위계적인 구성방식에 관한 연구 - 한국 전통건축의 공간구성기법을 응용하여 -)

  • Park, Chang-Geun
    • Journal of Industrial Technology
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    • v.26 no.A
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    • pp.29-38
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    • 2006
  • Efficiency and universality which was the spirit of the modern age, had also an enfluence on our living environment. Various types of individual housing unit were developed and mass-produced. However, the exterior space in our city is a place for our social life and intermediate place to connect the private life of each individual to our society. For the people to adapt themselves well to their environment, it should be well organized which means it is clearly divided and integrated in a hierarchical order. To realize these conditions, adequate boundaries to divide each territory and entrances to connect each territory are two essential elements. One of the possible methods to realize these conditions can be found in korean traditional architecture where the exterior space has the same figural quality like buildings and is the center of the whole composition. Buildings, walls and colonnades are the elements to define space. Gates, pavilions, gabs between buildings and posts are the elements to symbolize the entrance connecting each space. Each exterior space is integrated to a whole composition. One is the gradual differentiation along the axis which is unique in korean traditional architecture. The other is the rectangular connection which is also found in the other area in the world. The results of this thesis are as follows. The exterior space in the housing area should have the figural quality. The elements to make boundaries defining exterior space are classified into horizontal elements such as low buildings and walls, and vertical elements such as tower-shape buildings which define space in a different way. The position of openings in a housing block affects the characteristic and openness of a exterior space. Various types of gates are used to decide the relationship between spaces.

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Changes in Use and Functions of Second Doors in Detached Houses of Rural Area (농촌 단독주택 부출입문의 기능 및 이용변화에 대한 사례조사)

  • Byun, Kyeonghwa;Lee, Yunjeong;Kwon, Young-Gyu
    • Journal of the Korean Institute of Rural Architecture
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    • v.17 no.4
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    • pp.57-65
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    • 2015
  • In contrast to apartments, detached houses offer the possibility of more than one entrance connecting interior and exterior spaces. This study examines the location, function, and use of second doors in detached houses in rural areas. The study employs survey and interviews conducted in 2015, focusing on 18 detached houses among 40 houses previously surveyed in 1995. In 1995, 21 second doors were found, while in 2015, 19 were found. The study led to the following conclusions. First, most houses did have second doors installed by 1995 or 2015. Second doors tended to be installed in kitchen and utility rooms. The function of second doors was most closely connected to the kitchen because utility rooms were placed adjacent to kitchens. Secondly, changes in the use and number of second doors were changes in family life cycle and composition, the need for new equipment facilities, the use of new architectural materials, and the installation of new second doors for extension of space. Finally, exterior spaces accessed by second doors tend to be a meeting of semi-interior or semi-exterior space and exterior space only. Those spaces tended to be designed for kitchen fixtures or to support kitchen activities.

Green network analysis in coastal cities using least-cost path analysis: a study of Jakarta, Indonesia

  • Kim, Jae-Eun
    • Journal of Ecology and Environment
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    • v.35 no.2
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    • pp.141-147
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    • 2012
  • The rapid urbanization in developing countries is accelerating both the depletion and fragmentation of urban green space, despite the known positive effects of green spaces on the environmental conditions in cities and the quality of life of residents. Consequently, there is a need for practical tools that can support the development of networks of urban green spaces. This article presents a study that used a GIS-based least cost path (LCP) analysis to identify the best alternative for developing an urban green space network in the coastal city of Jakarta, Indonesia, which was based on the evaluation of topography and land use characteristics. Pair-wise analysis was used to reduce the sensitivity in the LCP model. The results showed that the coastal wetlands in the northern part of Jakarta and the agricultural fields in the suburban areas of Jakarta play an important role in connecting the green space network. On the other hand, some green spaces in the central part of Jakarta could not be connected by the LCP model. The method used in this study can serve as a tool to support the identification of networks of potential urban green spaces. It can also provide useful information for sustainable urban landscape planning and management in urban ecosystems. However, the inclusion of socio-economic criteria would further improve the model.

Collision-Free Path Planning for a Redundant Manipulator Based on PRM and Potential Field Methods (PRM과 포텐셜 필드 기법에 기반한 다자유도 머니퓰레이터의 충돌회피 경로계획)

  • Park, Jung-Jun;Kim, Hwi-Su;Song, Jae-Bok
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.4
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    • pp.362-367
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    • 2011
  • The collision-free path of a manipulator should be regenerated in the real time to achieve collision safety when obstacles or humans come into the workspace of the manipulator. A probabilistic roadmap (PRM) method, one of the popular path planning schemes for a manipulator, can find a collision-free path by connecting the start and goal poses through the roadmap constructed by drawing random nodes in the free configuration space. The path planning method based on the configuration space shows robust performance for static environments which can be converted into the off-line processing. However, since this method spends considerable time on converting dynamic obstacles into the configuration space, it is not appropriate for real-time generation of a collision-free path. On the other hand, the method based on the workspace can provide fast response even for dynamic environments because it does not need the conversion into the configuration space. In this paper, we propose an efficient real-time path planning by combining the PRM and the potential field methods to cope with static and dynamic environments. The PRM can generate a collision-free path and the potential field method can determine the configuration of the manipulator. A series of experiments show that the proposed path planning method can provide robust performance for various obstacles.

Connecting the Inner and Outer Product of Vectors Based on the History of Mathematics (수학사에 기초한 벡터의 내적과 외적의 연결)

  • Oh, Taek-Keun
    • Journal of Educational Research in Mathematics
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    • v.25 no.2
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    • pp.177-188
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    • 2015
  • In this paper, I investigated the historical development process for the product of two vectors in the plane and space, and draw implications for educational guidance to internal and external product of vectors based on it. The results of the historical analysis show that efforts to define the product of the two line segments having different direction in the plane justified the rules of complex algebraic calculations with its length of the product of their lengths and its direction of the sum of their directions. Also, the efforts to define the product of the two line segments having different direction in three dimensional space led to the introduction of quaternion. In addition, It is founded that the inner product and outer product of vectors was derived from the real part and vector part of multiplication of two quaternions. Based on these results, I claimed that we should review the current deployment method of making inner product and outer product as multiplications that are not related to each other, and suggested one approach for connecting the inner and outer product.