• Title/Summary/Keyword: type of representation

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IDENTITIES AND RELATIONS ON THE q-APOSTOL TYPE FROBENIUS-EULER NUMBERS AND POLYNOMIALS

  • Kucukoglu, Irem;Simsek, Yilmaz
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.265-284
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    • 2019
  • The main purpose of this paper is to investigate the q-Apostol type Frobenius-Euler numbers and polynomials. By using generating functions for these numbers and polynomials, we derive some alternative summation formulas including powers of consecutive q-integers. By using infinite series representation for q-Apostol type Frobenius-Euler numbers and polynomials including their interpolation functions, we not only give some identities and relations for these numbers and polynomials, but also define generating functions for new numbers and polynomials. Further we give remarks and observations on generating functions for these new numbers and polynomials. By using these generating functions, we derive recurrence relations and finite sums related to these numbers and polynomials. Moreover, by applying higher-order derivative to these generating functions, we derive some new formulas including the Hurwitz-Lerch zeta function, the Apostol-Bernoulli numbers and the Apostol-Euler numbers. Finally, for an application of the generating functions, we derive a multiplication formula, which is very important property in the theories of normalized polynomials and Dedekind type sums.

Representation of Excellency on Hongul Seabul type (한글 세벌체의 우수성 표현)

  • Joon, Han-Jae
    • Annual Conference on Human and Language Technology
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    • 1992.10a
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    • pp.301-308
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    • 1992
  • 이 글은 요즘들어 쓰임새가 많아지고 있는 탈네모틀 글자의 하나인 세벌체의 출현배경을 밝히고, 세벌체의 우수성과 가치를 정확히 알리고자 하는데에 목적을 두고 있다. 따라서 글의 작성방법도 필자가 직접 개발한 세벌체를 사용하여, 많은 사람들이 직접 눈으로 보고 느끼도록 하였다.

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A Study on the Characteristics of Spatial Representation of Memorials Considering Participants' Experience (관람자 체험을 고려한 메모리얼의 공간 표현 특성 연구)

  • Moon, Eun-Mi
    • Korean Institute of Interior Design Journal
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    • v.21 no.5
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    • pp.372-380
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    • 2012
  • This study investigates the examples of memorials in which participants can communicate and interact. Memorials as an urban public space provide various information and experiences to the visitors. The purpose of this study is to investigate the types of participants' experience and the characteristics of memorial space. The 9 examples of the memorials are selected and analyzed by the experience type of participants. This study summarizes the characteristics of spatial representation of memorials as follow; first, the interactions and communications of participants are main considerations in designing memorials. This study defines three types of participants' experience in memorials as educational, emotional and daily urban experiences. Second, the memorial space providing educational experience has narrative characteristics which are explanatory, representational, hierarchical and figurative. Memorials represent historical events and individuals in figurative ways. Participants in memorials learn the event, mourn for the dead and cure the grief through walking the guided route. Third, the memorial space providing emotional experience is indeterminate and open-ended characteristics which are contemplative, symbolic, and abstractive. While participants try to find the way to walk through and understand the meaning of the abstract forms by themselves, they interface the event and the victims in private and individual ways. Fourth, the memorial space providing daily urban experience is the familiar urban facilities embedded remembrance such as memorial square, bridge and fountain. Symbolism of memorials and effectiveness of urban facilities are engaged into the memorial design. They have functional, participatory, interactive and recreational characteristics. People experience the memorials involuntarily and casually during their daily lives. The memorials with urban facilities can be related to the present and the future of the city as well as the past of the city.

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Study on the estimation and representation of disparity map for stereo-based video compression/transmission systems (스테레오 기반 비디오 압축/전송 시스템을 위한 시차영상 추정 및 표현에 관한 연구)

  • Bak Sungchul;Namkung Jae-Chan
    • Journal of Broadcast Engineering
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    • v.10 no.4 s.29
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    • pp.576-586
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    • 2005
  • This paper presents a new estimation and representation of a disparity map for stereo-based video communication systems. Several pixel-based and block-based algorithms have been proposed to estimate the disparity map. While the pixel-based algorithms can achieve high accuracy in computing the disparity map, they require a lost of bits to represent the disparity information. The bit rate can be reduced by the block-based algorithm, sacrificing the representation accuracy. In this paper, the block enclosing a distinct edge is divided into two regions and the disparity of each region is set to that of a neighboring block. The proposed algorithm employs accumulated histograms and a neural network to classify a type of a block. In this paper, we proved that the proposed algorithm is more effective than the conventional algorithms in estimating and representing disparity maps through several experiments.

Automated Algorithm to Convert Coordinates of Space Representation using IFC-based BIM Data (IFC기반 공간형상정보의 좌표 변환 자동화 알고리즘)

  • Kim, Karam;Yu, Jungho
    • Journal of the Korea Institute of Building Construction
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    • v.15 no.3
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    • pp.317-327
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    • 2015
  • Many construction projects have extensively adopted building information modeling (BIM), and various institutions and standards have been developed domestically in Korea. However, the current process that is used to calculate building space area has a significant shortcoming in that there are two different laws to apply the method of measurement considering space boundaries for building element guidelines. For example, space area can be calculated by a polygon, which is modeling using a BIM-based computer aided design program, such that the space polygon is always exported as an inner-edge type. In this paper, we developed an automated algorithm to convert coordinates of space representation using industry foundation classes based BIM data. The proposed algorithm will enable engineers responsible for space management to use a BIM-based model directly in the space programming process without having to do additional work. The proposed process can help ensure that space area is more accurately and reliably.

Typology as Form Generating Process in Contemporary Architecture (현대건축 형태생성 과정으로써의 유형학적 특성)

  • Kim, Jong-Myeong;Kim, Dong-Jin
    • Korean Institute of Interior Design Journal
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    • v.23 no.5
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    • pp.3-13
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    • 2014
  • Typology in Contemporary Architecture wants to escape from the classical typology that has the problems about specific program of structuralism, typical repeatation of customary form. As visible and non-visible things are appeared in contemporary architecture through the analysis of the inner system involving development process of changing itself, typology of contemporary is utilized at a tool of form generation in the process of architect. And it notes that the structural properties of the building system. The form of contemporary architecture has the new connecting strucure not reduced to existing ones. It carries out generative access as a device in order to solve the complexity of society. From this perspective, we analyze the process of projects of contemporary architects that can be typological strategy not representation of post geometric form but a tool of form generation in architectural process. As a result, we can find four characteristics of typology as a tool of form generation; 'interference and mix of program', 'continous slabs', 'rearrangement through relationship setting', 'transformation of multi-layers'. These are expanding to the process that reflect history and context or infer from morphology. Therefore, typology as architectural process of form generation overcomes morphological typology of classical typology and suggests that the different architectural approach having potential possibility.

3D FE modeling considering shear connectors representation and number in CBGB

  • Abbu, Muthanna A.;Ekmekyapar, Talha A.;Ozakca, Mustafa A.
    • Steel and Composite Structures
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    • v.17 no.3
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    • pp.237-252
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    • 2014
  • The use of composite structures is increasingly present in civil building works. Composite Box Girder Bridges (CBGB), particularly, are study of effect of shear connector's numbers and distribution on the behavior of CBGBs is submitted. A Predicti structures consisting of two materials, both connected by metal devices known as shear connectors. The main functions of these connectors are to allow for the joint behavior of the girder-deck, to restrict longitudinal slipping and uplifting at the element's interface and to take shear forces. This paper presents 3D numerical models of CBGBs to simulate their actual structural behavior, with emphasis on the girder-deck interface. Additionally, a Prediction of several FE models is assessed against the results acquired from a field test. A number of factors are considered, and confirmed through experiments, especially full shear connections, which are obviously essential in composite box girder. A good representation for shear connectors by suitable element type is considered. Numerical predictions of vertical displacements at critical sections fit fairly well with those evaluated experimentally. The agreement between the FE models and the experimental models show that the FE model can aid engineers in design practices of box girder bridges. Preliminary results indicate that number of shear studs can be significantly reduced to facilitate adoption of a new arrangement in modeling CBGBs with full composition. However, a further feasibility study to investigate the practical and economic aspects of such a remedy is recommended, and it may represent partial composition in such modeling.

A Study on the Characteristics of Representation on 'The new hierarchy' that Appear in the SANAA's Space Configuration of Museum (SANAA의 뮤지엄 공간구성에서 나타나는 '새로운 위계성'의 표현 특성)

  • Shin, Somyung;Yoon, Sang-Young;Yoon, Jae-Eun
    • Korean Institute of Interior Design Journal
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    • v.22 no.4
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    • pp.149-157
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    • 2013
  • As a period of pluralism, today's museum architecture has been expanding social and cultural meaning. So, Various expressions are appearing in museum architecture. Accordingly, the museum must be very reproducible and comply with aesthetic requirements. At the same time, museum construction in urban design and features must satisfy professional requirements. SANAA is one of contemporary architects has been decisively deleted existing fixed and functional layout type of program through 'The new hierarchy'. Thus, the experience of the space will vary. Now, museum space is urgently needed than ever before crustal movements. Thus, this study aims to contribute an alternative to the museum space configuration according to the trend of the times through 'The new hierarchy' of SANAA. This paper is limited to the cases of the SANAA's museum architecture. We analyze the characteristics of representation on 'The new hierarchy' appear in the museum space configuration and then, examine the value of the spatial. SANAA's 'New Hierarchy' is going to set the cognitive boundary by expression targeting plane and the surface. It is completely different than the previous boundaries. Characteristics of the expression represents non-centrality, decentrally, non-oriented, uncertainty, non-territorialization, uniformity. It is steady that identity of Space, Human, Environment in Museum. They have a relationship each concept of Independence, autonomy, equality.

A Study on the Artistic Representation of the Cellular-Phone Addiction and the Personal Data Leakage of Modern Society

  • Lee, Joohun;Baek, Jiseon
    • International Journal of Internet, Broadcasting and Communication
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    • v.7 no.2
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    • pp.65-72
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    • 2015
  • Although the development of digital technology and network has brought great convenience in modern lives, amongst the aggravated complexity in the contemporary society, modern minds who have failed to create genuine relationships undergo a sense of alienation and solitude that may appear as a type of social pathology called cellular-phone addiction. Also, while the emergence of the information age seemingly brings about benefits including diverse acquisition regarding knowledge and broader communication, underneath exists side effects involving leakage of private information. Especially, being excessively addicted to relationship network may induce one to become insensitive towards leakage of private information without recognizing, and thereby instigating yet another social problem. Media art is very practical in terms of suggesting a critical perspective concerning social phenomena and elevating them into a work of art by rendering them artistically. Particularly, when social problems of the modern days are expressed through digital technology, media art provides the audience with a foundation that will enable them to sympathize without hostility. This dissertation calls attention to the contemporary problems regarding cellular-phone addiction and possible hazards of information leakage based on media art, while at the same time proposing the production process of a media art work that attempts to raise awareness and sympathy on such social issues.

GROSSBERG-KARSHON TWISTED CUBES AND BASEPOINT-FREE DIVISORS

  • HARADA, MEGUMI;YANG, JIHYEON JESSIE
    • Journal of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.853-868
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    • 2015
  • Let G be a complex semisimple simply connected linear algebraic group. The main result of this note is to give several equivalent criteria for the untwistedness of the twisted cubes introduced by Grossberg and Karshon. In certain cases arising from representation theory, Grossberg and Karshon obtained a Demazure-type character formula for irreducible G-representations as a sum over lattice points (counted with sign according to a density function) of these twisted cubes. A twisted cube is untwisted when it is a "true" (i.e., closed, convex) polytope; in this case, Grossberg and Karshon's character formula becomes a purely positive formula with no multiplicities, i.e., each lattice point appears precisely once in the formula, with coefficient +1. One of our equivalent conditions for untwistedness is that a certain divisor on the special fiber of a toric degeneration of a Bott-Samelson variety, as constructed by Pasquier, is basepoint-free. We also show that the strict positivity of some of the defining constants for the twisted cube, together with convexity (of its support), is enough to guarantee untwistedness. Finally, in the special case when the twisted cube arises from the representation-theoretic data of $\lambda$ an integral weight and $\underline{w}$ a choice of word decomposition of a Weyl group element, we give two simple necessary conditions for untwistedness which is stated in terms of $\lambda$ and $\underline{w}$.