• 제목/요약/키워드: space norms

검색결과 92건 처리시간 0.024초

AN EXISTENCE OF LINEAR SYSTEMS WITH GIVEN TRANSFER FUNCTION

  • Yang, Meehyea
    • 대한수학회보
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    • 제30권1호
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    • pp.99-107
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    • 1993
  • A vector space K with scalar product <.,.> is called a Krein space if it can be decomposed as a northogonal sum of a Hilbert space and an anti-space of a Hilbert space. The space K induces a Hilbert space $K_{J}$ in the inner product <.,.> $K_{J}$=<.,.>K, where $J^{2}$=I. the eigenspaces of J are denoted by $K^{+}$$_{J}$, which is a Hilbert space and $K^{-}$$_{J}$, which is an anti-space of a Hilbert space. Then the Krein space K is the orthogonal sum of $K^{+}$$_{J}$ and $K^{-}$$_{J}$. Such a decomposition of K is called a fundamental decomposition. In general, fundamental decompositions are not unique. The norm of the Hilbert space depends on the choice of a fundamental decomposion, but such norms are equivalent. The topology generated by these norms is called the strong or Mackey topology of K. It is used to define all topological notions on the Krein space K with respect to this topology. The Pontryagin index of a Krein space is the dimension of the antispace of a Hilbert space in any such decomposition. the dimension does not depend on the choice of orthogonal decomposition. A Krein space is called a Pontryagin space if it has finite Pontryagin index.dex.yagin index.dex.

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사춘기 청소년의 침실분리규범 달성여부와 개인공간 만족도 (Impact of Normative Deficits for Bedroom Sharing on Housing Space Satisfaction of Adolescents)

  • 정광모;조재순
    • 대한가정학회지
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    • 제39권5호
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    • pp.123-135
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    • 2001
  • The purpose of this paper is to examine bedroom-need norms and the relationship between normative deficits for bedroom sharing and housing space satisfaction of adolescent. Three cases were mainly considered to apply for adolescents to share a bedroom: maximum age and number limits of a child sharing a parents'bedroom, maximum age of an old child sharing a bedroom with its siblings of the opposite sex, and maximum age of an old child sharing a bedroom with its siblings of the same sex. The data were collected 400 eighth grade students in the three different size of regions, June-July, 1999 and 379 cases were finally analyzed. The result showed that the normative deficits for bedroom sharing was a statistically signiticant factor to explain housing space satisfaction of adolescents even though the condition of bedroom sharing was the most influencial variable. This reset supports the family housing adjustment behavior model of Morris and Winter.

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실내디자인 교육의 공간구성 수업사례 (A Case Study on The Space Composition in Interior Design Program)

  • 김혜자
    • 한국실내디자인학회:학술대회논문집
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    • 한국실내디자인학회 2005년도 춘계학술발표대회 논문집
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    • pp.253-254
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    • 2005
  • Space Composition should be understood an aesthetic cognition about the basis of space in different points of view. It establishes the prescribed environment of space through the hypothesis of given geometrical object. Therefore, it makes understand the cause of space composition and conceive the consistency of various elements, orders, norms and forms of space composition, Through this study, the students may build up scenarios-form the beginning to the climax of space -, directions and full stories about the space.

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우주활동과 국제 우주질서에 대한 연구 (A Study on Space Activities and International Norms and Regulations)

  • 황진영
    • 항공우주시스템공학회지
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    • 제16권2호
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    • pp.33-38
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    • 2022
  • 최근들어 우주분야가 빠르게 변화하고 있다. 우주군과 같은 우주의 군사화가 공개적으로 진행되고 있다. 또 한편으로는 정부 자금에 의한 정부 주도의 우주개발에서 뉴스페이스라고 불리는 민간 자본에 의한 우주상업화가 미국을 중심으로 크게 부각되고 있다. 여기에 미국은 아폴로 프로그램 종료이후 50년만에 유인우주 달탐사 사업인 Artemis 사업이 추진되고 있으며, 이에 수반하여 우주자원의 상업적 활용이 적극적으로 논의되고 있다. 비약적으로 발전하고 있는 우주기술로 인해 크게 1967년 제정되어 지금까지 우주활동의 규범을 제시해 온 우주조약은 수명이 다해가는지 모른다. 국제규범의 개정은 여러 국가의 이해관계가 반영되어야 하는 쉽지 않은 과정이다. 그럼에도 불구하고 새로운 우주시대를 맞이하려면 우리나라도 이러한 변화를 맞아들이기 위한 다양한 법적·정책적 연구가 필요하다.

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES

  • Koo, HYUNGWOON;NAM, KYESOOK;YI, HEUNGSU
    • 대한수학회지
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    • 제42권5호
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    • pp.975-1002
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    • 2005
  • On the setting of the upper half-space H of the Eu­clidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < $\infty$ and nonorthogonal projections for 1 $\leq$ p < $\infty$ . Using these results, we show that Bergman norm is equiva­ lent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of b$\_{$^{1}$.

[ $L^p$ ] NORM INEQUALITIES FOR AREA FUNCTIONS WITH APPROACH REGIONS

  • Suh, Choon-Serk
    • East Asian mathematical journal
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    • 제21권1호
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    • pp.41-48
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    • 2005
  • In this paper we first introduce a space of homogeneous type X, and then consider a kind of generalized upper half-space $X{\times}(0,\;\infty)$. We are mainly considered with inequalities for the $L^p$ norms of area functions associated with approach regions in $X{\times}(0,\;\infty)$.

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