• Title/Summary/Keyword: Ideal Function

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A Study on the Architectural Characteristics of Godin's Social Palace System of Modern Ideal Housing (근대 이상주거 고댕의 사회궁전에 나타나는 건축특성 연구)

  • Baek, Seung-Kwan
    • Journal of the Korean housing association
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    • v.25 no.1
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    • pp.1-13
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    • 2014
  • This study analyzes the architectural characteristics of Godin's Social Palace system of ideal housing for laborers during the 19th century. Utopian socialists in the first half of the 19th century proposed different solutions to reform their chaotic capitalist society, in response to the maladies of the Industrial Revolution. Fourier designed an ideal housing referred to as the Phalanstere, in which residences coexisted in a cooperative society. His disciples tried in vain to make this ideal housing system real. The only realization of this type of ideal housing was called Godin's Social Palace, which was constructed in Guise, France. The main architectural characteristics of Godin's Social Palace are as follows: dwelling units in consideration of function and expansion are applied basically in the housing. Further, a natural ventilation system is applied between housing and courtyard, and water supply is established in the housing. In Particular, natural lighting and artificial illumination are used in the entire building appropriately. In addition, a device which promotes a community between inhabitants is established. As for such modern facilities and social devices, inhabitants were able to live a more comfortable life. Hence, it is confirmed to have been one of the important factors for sustaining the Social Palace for more than 100 years.

Decomposition of fuzzy ideal continuity via fuzzy idealization

  • Zahran, Ahmed M.;El-Baki, S. Ahmed Abd;Saber, Yaser Mohammed
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.83-93
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    • 2009
  • Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

ON COVERING AND QUOTIENT MAPS FOR 𝓘𝒦-CONVERGENCE IN TOPOLOGICAL SPACES

  • Debajit Hazarika;Ankur Sharmah
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.267-280
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    • 2023
  • In this article, we show that the family of all 𝓘𝒦-open subsets in a topological space forms a topology if 𝒦 is a maximal ideal. We introduce the notion of 𝓘𝒦-covering map and investigate some basic properties. The notion of quotient map is studied in the context of 𝓘𝒦-convergence and the relationship between 𝓘𝒦-continuity and 𝓘𝒦-quotient map is established. We show that for a maximal ideal 𝒦, the properties of continuity and preserving 𝓘𝒦-convergence of a function defined on X coincide if and only if X is an 𝓘𝒦-sequential space.

Genus numbers and ambiguous class numbers of function fields

  • Kang, Pyung-Lyun;Lee, Dong-Soo
    • Communications of the Korean Mathematical Society
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    • v.12 no.1
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    • pp.37-43
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    • 1997
  • Some formulas of the genus numbers and the ambiguous ideal class numbers of function fields are given and these numbers are shown to be the same when the extension is cyclic.

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Application of Fuller's ideal curve and error function to making high performance concrete using rice husk ash

  • Hwang, Chao-Lung;Bui, Le Anh-Tuan;Chen, Chun-Tsun
    • Computers and Concrete
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    • v.10 no.6
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    • pp.631-647
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    • 2012
  • This paper focuses on the application of Fuller's ideal gradation curve to theoretically design blended ratio of all solid materials of high performance concrete (HPC), with the aid of error function, and then to study the effect of rice husk ash (RHA) on the performance of HPC. The residual RHA, generated when burning rice husk pellets at temperatures varying from 600 to $800^{\circ}C$, was collected at steam boilers in Vietnam. The properties of fresh and hardened concrete are reviewed. It is possible to obtain the RHA concrete with comparable or better properties than those of the specimen without RHA with lower cement consumption. High flowing concrete designed by the proposed method was obtained without bleeding or segregation. The application of the proposed method for HPC can save over 50% of the consumption of cement and limit the use of water. Its strength efficiency of cement in HPC is 1.4-1.9 times higher than that of the traditional method. Local standards of durability were satisfied at the age of 91 days both by concrete resistivity and ultrasonic pulse velocity.

The Fashion Communication Media and the Beauty of Ideal Body (I) - Focusing on the Fashion Communication Media - (패션커뮤니케이션 매체와 이상적 신체미 (제l보) - 패션 커뮤니케이션 매체를 중심으로 -)

  • 김소영;양숙희
    • Journal of the Korean Society of Costume
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    • v.52 no.7
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    • pp.139-154
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    • 2002
  • This study selects mannequins. fashion models. and fashion photographs as communication media to express the beauty of an ideal body. Each medium is discussed by the denotative and connotative aspects through the semiology. First, the mannequins are the most concrete medium which can form women's ideal body types and reproduce images in which the idealistic human body are coded in various figures. It embodies such various figures of the modem society by being replaced with the symbolic representation of our intrinsic·extrinsic forms. From a denotative view, the mannequins can be explained by ideal body types and expressive tools. The mannequin has implied connotative meanings of the similarity and dissimilarity between the actual body and itself. Second, fashion models have played a role in transmitting fashion images and presenting the ideal body. As fashion has adopted the body as its object fashion models have been used to express an ideal body. The development of the mass media in the 20th century has defined the standard of the beauty, Both the relationship between fashion designers and fashion models. and the standardization of beauty and fashion models are reviewed from a denotative view. Fashion models imply connotative meanings of the figurative and the controlled property. Third, fashion photographs are historical documents presenting us with the evidence of the ideal body types and culture throughout time. The photographs could be adopted as proper means to express fashion. having realistic and practical expressional functions, and it can be said that the realistic and practical expressional function of photographs has served as a suitable means for express fashion, and fashion photographs are discussed. The fashion photograph has the reproducible and the symbolic property.

CYCLOTOMIC UNITS AND DIVISIBILITY OF THE CLASS NUMBER OF FUNCTION FIELDS

  • Ahn, Jae-Hyun;Jung, Hwan-Yup
    • Journal of the Korean Mathematical Society
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    • v.39 no.5
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    • pp.765-773
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    • 2002
  • Let $textsc{k}$$F_{q}$(T) be a rational function field. Let $\ell$ be a prime number with ($\ell$, q-1) = 1. Let K/$textsc{k}$ be an elmentary abelian $\ell$-extension which is contained in some cyclotomic function field. In this paper, we study the $\ell$-divisibility of ideal class number $h_{K}$ of K by using cyclotomic units.s.s.

ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS

  • Bae, Sung-Han;Jung, Hwan-Yup
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.49-67
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    • 2012
  • In this paper we give asymptotic formulas for the number of ${\ell}$-cyclic extensions of the rational function field $k=\mathbb{F}_q(T)$ with prescribe ${\ell}$-class numbers inside some cyclotomic function fields, and density results for ${\ell}$-cyclic extensions of k with certain properties on the ideal class groups.