• Title/Summary/Keyword: space forms

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Survey of the Arithmetic and Geometric Approach to the Schottky Problem

  • Jae-Hyun Yang
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.647-707
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    • 2023
  • In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the André-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

ON THE BEHAVIOR OF L2 HARMONIC FORMS ON COMPLETE MANIFOLDS AT INFINITY AND ITS APPLICATIONS

  • Yun, Gabjin
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.205-212
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    • 1998
  • We investigate the behavior of $L^2$ harmonic one forms on complete manifolds and as an application, we show the space of $L^2$harmonic one forms on a complete Riemannian manifold of nonnegative Ricci curvature outside a compact set with bounded $n/2$-norm of Ricci curvature satisfying the Sobolev inequality is finite dimensional.

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THE UNIT BALL OF THE SPACE OF BILINEAR FORMS ON ℝ3 WITH THE SUPREMUM NORM

  • Kim, Sung Guen
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.487-494
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    • 2019
  • We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ which leads to a complete formula of ${\parallel}f{\parallel}$ for every $f{\in}{\mathcal{L}}(^2l^3_{\infty})^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ is exposed.

A Study on the perception of time in Contemporary Architecture (현대 건축의 시간성 지각에 관한 연구)

  • Byun, Dae-Joong;Lee, Young-Soo
    • Korean Institute of Interior Design Journal
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    • v.20 no.3
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    • pp.3-12
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    • 2011
  • The purpose of this study is to analyse the diagrammatic design approaches and programmatic design approaches in contemporary architecture, so that this reveals the sequential systems of circulation in the space and liberal movement of the visitors in the buildings of those diagrammatic and programmatic architecture. Contemporary architecture generates the new forms and meanings through the dynamic visions and perspectives. Such a variation of sequential vistas and dynamic visions produce a perception of time and a potential movements of axis in the perspective. This study give the systematic body to the relations among visions, movements, sequences, forms, circulations and time. Diagrammatic and programmatic design approaches show the heterogeneous spaces and the informal architectures in contemporary architecture. Therefore, movements of various view points, differrentiations of objects in the perspectives, and multiple view frames appears in the designs of initiative architects. In conclusion, this study systemizes the concepts of time, sequential movements, and perceptions of events in contemporary architecture through the analyse of 18 architectural works of important architects in 2000s. And this shows details of the transitional movement of space and the perception of time in contemporary Architecture. The Being of the active time constructs formal transformations, spacial differentiations, accumulations of human behaviors, and movements of circulations involved with experiences of the field of senses. Therefore, Zeitlichkeit is perceived through concepts of the sequences of those spaces, forms, behaviors, and memories.

A Study on Architectural Expressive Characteristic of 'Structure & Skin Integration' Type in Contemporary Architecture - Focused on the Architecture cases after 2000 - (현대건축에서 구조와 표피 일체화 유형의 건축적 표현특성 - 2000년 이후 건축 사례를 중심으로 -)

  • Lee, Sang-Ho;Ban, Ja-Yuen
    • Korean Institute of Interior Design Journal
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    • v.25 no.4
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    • pp.43-50
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    • 2016
  • This study tries to categorize trends of "structure and skin integration" and understand the expressive characters of each architectural type. To do so, we listed up 8 architects who are quoted twice or more in related researches, then analyzed their 25 contemporary buildings which integrated structure and skin since 2000. As a result, this study defined four types based on the way of building tectonic system of structure and skin. Key feature of "linear structure-two dimensional skin" type is the communication with the surroundings as a result of .geometric architectural forms, patterned surface and reflection. Characters of "linear-three dimensional" type are organic architectural forms, sculptural skin, and the mysterious space. "Planar-two dimensional" type is a transformational geometry form to express the dramatic images through the skin, therefore gives a sense of rhythm and dynamics to space. "Planar structure-three dimensional" type highlights the texture, and exposes boundary of the inside and outside. In architectures we studied, the structure is the way to make a creative forms and space, and the skin to express various meanings. That said, the "structure and skin integration" is the means of aggressive design expression.

A Study on Module Furniture Design -Focus on Reiteration and Expansion- (모듈(Module) 가구디자인에 대한 연구 -반복(Reiteration)과 확장(Expansion)을 중심으로-)

  • Lee, Hyun-Jung
    • Journal of the Korea Furniture Society
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    • v.19 no.1
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    • pp.55-65
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    • 2008
  • The forms made by repeated arrangements of basic units defined as Simulakre are recomposed into organic, geometric or multi-functional forms by diverse combinations and arrangements and the space expanded by reiterated compositions will have the meaning of active space expansions representing speeds, rhythms or time by reiterations instead of a limited and fixed place shown by a work. The module design that can create new roles and functions of spaces that are variability and fluidity and that can be assembled and transformed into the shapes, sizes and functions desired by users will be analyzed applying the concepts of reiteration and expansion. The module designs emerging in 21th century are in diverse organic forms and geometric forms and their methods for expansion are also diversified. And instead of having a function, they have diverse functions such as storages, partitions, walls, curtains and soundproofing. The development of module designs are first to satisfy the diversified needs, individualities and desires to posses of modem people and second the development, finding and application of new materials. In the future spaces that will continuously develop and will be nomadic, the flexible and individualized module designs will become more diversified and will have their significances.

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The Precariousness Employment in the Eurasian Economic Space: Measurement Problems, Factors and Main Forms of Development

  • Kaliyeva, Saule A.;Alzhanova, Farida G.;Meldakhanova, Marziya K.;Sadykov, Ilyas М.;Adilkhanov, Murat А.
    • The Journal of Asian Finance, Economics and Business
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    • v.5 no.3
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    • pp.157-167
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    • 2018
  • This research aims to generalize the conceptual basis of precariousness of employment, study the factors and scale of unsustainable of employment in the countries of the Eurasian Economic Union (EAEU). The concept of precariousness of employment is formed in social and economic studies about 40 years ago, but objective and subjective conditions and forms of unsustainable employment existed before. This study proposes a classification of forms of precariousness of employment on 16 criteria: the duration and timing of agreements, contract terms, the nature of income; the degree of labor autonomy; the level of formality; the level of openness; the level of vulnerability; the conditions of growth of qualification; the level of flexibility; the level of stability; regularity; the severity of the danger of work; in relation to the workplace; the quality of employment, the level of social security. In this research highlighted factors (globalization, demography, migration, structure factors, shadow and informal economy, social development and living standards, unemployment), and systematized certain trends of precariousness of employment, channels and means, forms of manifestation. The empirical analysis identified of the labor potential of the Eurasian countries and new quantitative estimates of the levels of unsustainable employment in the Eurasian Economic Space.

On real hypersurfaces of a complex hyperbolic space

  • Kang, Eun-Hee;Ki, U-Hang
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.173-184
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    • 1997
  • An n-dimensional complex space form $M_n(c)$ is a Kaehlerian manifold of constant holomorphic sectional curvature c. As is well known, complete and simply connected complex space forms are a complex projective space $P_n C$, a complex Euclidean space $C_n$ or a complex hyperbolic space $H_n C$ according as c > 0, c = 0 or c < 0.

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City Development and Green Space Protection

  • Li, Jun-hong
    • Journal of the Korean Institute of Landscape Architecture International Edition
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    • no.1
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    • pp.28-32
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    • 2001
  • The author has analyzed the ecological problems caused by city development and the comprehensive benefits of green space(e.g. ecological, social and economic benefits). The important role of green space in city sustainable development was discussed. Through benefits analysis of green space in city development in Kunming City, the author offered specific measures for green space protection in Kunming: strengthen plant management according to law; enhance nation awareness of plant protection; rationally plan city green land system;and use scientific forms of green land.

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A Study on the Deconstructive Characteristics of Interior Spaces of Ron Arad (론 아라드의 실내공간에 나타난 해체주의적 특성에 관한 연구)

  • Lee, Jin-Young
    • Korean Institute of Interior Design Journal
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    • v.15 no.5 s.58
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    • pp.95-103
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    • 2006
  • Ron Arad, the master of contemporary design in the U.K., is one of representative leaders of this age who has left distinguished achievements in the history of contemporary design through innovative design. Analyzing and understanding the Deconstructive design concept and the deconstructive characteristics of interior space of Ron Arad will contribute to finding directions for today's design and laying the ground for explaining the development pattern of design in the 21st century. After analyzing the deconstructive characteristics of each selected space, One Off and Ron Arad Associates have shown a deconstructive design trend of a creative formula by using methods that shed conventional processes and material while a space composition and form of new concept was attempted in the resting space of the New Tel Aviv Opera House, offering not only the establishment of a new circulation system, but also diverse experiences of space to visitors. Likewise, a temporal experience and communication between the user and the space was attempted in Belgo Noord and Belgo Central by partially applying a narrative space composition that sheds existing design concepts. At the Millennium House, they have produced an interior space for future house developed by breaking off from existing typical design development work and material through computer operation, and made various forms of space and atmosphere possible by attempting variable elements and the use of ultramodern material. Y's fashion shop has granted variability to the form and volume of space according to time by presenting display elements that have shed existing form and function. Hotel Puerta America as well, with a curved structure that has broken off with existing forms and maximized space variability through structures that have utilized ultramodern materials and instruments. Through this study, it has been verified that Ron Arad has been unraveling connections between interior space and its user, its requirements, and the original unique principles of space by applying deconstructive design concepts, and that through the mediation of these spaces, he is attempting indirect communication with the user. Eventually, he is taking part in the harmony and development of all elements of space connected with human beings by applying deconstructive design concepts.