• 제목/요약/키워드: operators on function spaces

검색결과 55건 처리시간 0.02초

119 안전센터 실내공간요소 중요도 평가에 의한 공간구성연구 (Study on Space Organization Based on Significance Assessment of Interior Space Factors at 119 Safety Center)

  • 김성주;김문덕
    • 한국실내디자인학회논문집
    • /
    • 제23권4호
    • /
    • pp.257-266
    • /
    • 2014
  • This study has been performed to come up with any rational way for responding to the functions of fire-fighting spaces newly required by the changing social paradigms and to seek for the approach to designing fire-fighting spaces by taking into account the psychological and behavioral factors of fire-fighters who are exposed stress of operations. In particular, it is to satisfy any physical and functional requirements as special working-spaces and to reflect the psychological and behavioral approach to the workers who are forced to be at standby for a long time, which is the characteristic of their operation, to designing. Accordingly, for fundamental appreciation of whether or not such space programs as space organization needed for operational function are being practiced actively, the fire-fighting headquarters of Incheon City has been selected for the research. First, in the process of assessing the trend of organizing the space at safety centers for the recent 20 years, those built more than 20 years ago were left out from the space selection for the research. Second, those with less than 20 operators also were excluded. Third, among those completed in the same year, only one was selected, which was to avoid overlapping, with the consideration its regional representative nature for applying the safety centers in the jurisdiction of the headquarters equally. The study was performed through the visits to and the actual inspections by surveys at the selected 119 Safety Centers as well as the reviews of literature based on case studies. And for the assessment of significance, surveys and analysis of reliability and factors were carried out. The actual users of Safety Centers were picked as objects for the assessment of significance of space factors at 119 Safety Centers, which revealed that there are five types of dimensions for factor-analyzing standard with which users estimate any significance, which are "Area of Mobilization Preparation and Return" "Area of Standby" "Area of Working Activities" "Area of Employ Welfare" and "Area of Support".

HADAMARD-TYPE FRACTIONAL CALCULUS

  • Anatoly A.Kilbas
    • 대한수학회지
    • /
    • 제38권6호
    • /
    • pp.1191-1204
    • /
    • 2001
  • The paper is devoted to the study of fractional integration and differentiation on a finite interval [a, b] of the real axis in the frame of Hadamard setting. The constructions under consideration generalize the modified integration $\int_{a}^{x}(t/x)^{\mu}f(t)dt/t$ and the modified differentiation ${\delta}+{\mu}({\delta}=xD,D=d/dx)$ with real $\mu$, being taken n times. Conditions are given for such a Hadamard-type fractional integration operator to be bounded in the space $X^{p}_{c}$(a, b) of Lebesgue measurable functions f on $R_{+}=(0,{\infty})$ such that for c${\in}R=(-{\infty}{\infty})$, in particular in the space $L^{p}(0,{\infty})\;(1{\le}{\le}{\infty})$. The existence almost every where is established for the coorresponding Hadamard-type fractional derivative for a function g(x) such that $x^{p}$g(x) have $\delta$ derivatives up to order n-1 on [a, b] and ${\delta}^{n-1}[x^{\mu}$g(x)] is absolutely continuous on [a, b]. Semigroup and reciprocal properties for the above operators are proved.

  • PDF

[Lp] ESTIMATES FOR A ROUGH MAXIMAL OPERATOR ON PRODUCT SPACES

  • AL-QASSEM HUSSAIN MOHAMMED
    • 대한수학회지
    • /
    • 제42권3호
    • /
    • pp.405-434
    • /
    • 2005
  • We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

An improved parametric formulation for the variationally correct distortion immune three-noded bar element

  • Mukherjee, Somenath;Manju, S.
    • Structural Engineering and Mechanics
    • /
    • 제38권3호
    • /
    • pp.261-281
    • /
    • 2011
  • A new method of formulation of a class of elements that are immune to mesh distortion effects is proposed here. The simple three-noded bar element with an offset of the internal node from the element center is employed here to demonstrate the method and the principles on which it is founded upon. Using the function space approach, the modified formulation is shown here to be superior to the conventional isoparametric version of the element since it satisfies the completeness requirement as the metric formulation, and yet it is in agreement with the best-fit paradigm in both the metric and the parametric domains. Furthermore, the element error is limited to only those that are permissible by the classical projection theorem of strains and stresses. Unlike its conventional counterpart, the modified element is thus not prone to any errors from mesh distortion. The element formulation is symmetric and thus satisfies the requirement of the conservative nature of problems associated with all self-adjoint differential operators. The present paper indicates that a proper mapping set for distortion immune elements constitutes geometric and displacement interpolations through parametric and metric shape functions respectively, with the metric components in the displacement/strain replaced by the equivalent geometric interpolation in parametric co-ordinates.

미디어 재매개적 관점에 의한 증강현실 가상성과 주체성에 대한 연구 (Study on Virtuality and Subjectivity of Augmented Reality in Media Remediation)

  • 김진곤
    • 디지털콘텐츠학회 논문지
    • /
    • 제12권4호
    • /
    • pp.519-530
    • /
    • 2011
  • 본 논문은 증강현실이 일상적 공간위에 표상된 시공간을 새롭게 느낄 수 있도록 맥락적 인식을 가상화시키고 현실과 비현실의 경계를 혼합하는 과정에 내재되어 있는 가상성 개념을 중심으로 주체성을 전통적 미디어 관점에서 해석해내고자 한다. 미디어 재매개 관점의 비매개와 하이퍼매개를 중심으로 현실 반영성이 어떻게 드러나고 있는지를 밝힘을 통해, 증강현실은 기존 미디어와는 달리 스크린을 주체 일부로 기능하게 하고 역할을 부여함으로써 관찰자, 조작자를 포괄하는 완벽한 디지털미디어의 주체로 전환시켜줌을 알 수 있었다.