• Title/Summary/Keyword: Function space

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ANALYTIC OPERATOR-VALUED FUNCTION SPACE INTEGRAL REPRESENTED AS THE BOCHNER INTEGRAL:AN$L(L_2)$ THEORY

  • Chang, Kun-Soo;Park, Ki-Seong;Ryu, Kun-Sik
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.599-606
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    • 1994
  • In [1], Cameron and Storvick introduced the analytic operator-valued function space integral. Johnson and Lapidus proved that this integral can be expressed in terms of an integral of operator-valued functions [6]. In this paper, we find some operator-valued Bochner integrable functions and prove that the analytic operator-valued function space integral of a certain function is represented as the Bochner integral of operator-valued functions on some conditions.

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Poisson integrals contained in harmonic bergman spaces on upper half-space

  • Yi, Heung-Su
    • Communications of the Korean Mathematical Society
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    • v.12 no.1
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    • pp.51-58
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    • 1997
  • On the setting of the upper half-space, H of the euclidean n-space, we consider the question of when the Poisson integral of a function on the boundary of H is a harmonic Bergman function and here we give a partial answer.

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A Formula for Calculating Dst Injection Rate from Solar Wind Parameters

  • Marubashi, K.;Kim, K.H.;Cho, K.S.;Rho, S.L.;Park, Y.D.
    • Bulletin of the Korean Space Science Society
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    • 2009.10a
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    • pp.36.3-37
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    • 2009
  • This is an attempt to improve a formula to predict variations of geomagnetic storm indices (Dst) from solar wind parameters. A formula which is most widely accepted was given by Burton et al. (1975) over 30 years ago. Their formula is: dDst*/dt = Q(t) - Dst*(t)/$\tau$, where Q(t) is the Dst injection rate given by the convolution of dawn-to-dusk electric field generated by southward solar wind magnetic field and some response function. However, they did not clearly specify the response function. As a result, misunderstanding seems to be prevailing that the injection rate is proportional to the dawn-to-dusk electric field. In this study we tried to determine the response function by examining 12 intense geomagnetic storms with minimum Dst < -200 nT for which solar wind data are available. The method is as follows. First we assume the form of response function that is specified by several time constants, so that we can calculate the injection rate Q1(t) from the solar wind data. On the other hand, Burton et al. expression provide the observed injection rate Q2(t) = dDst*/dt + Dst*(t)/$\tau$. Thus, it is possible to determine the time constants of response function by a least-squares method to minimize the difference between Q1(t) and Q2(t). We have found this simple method successful enough to reproduce the observed Dst variations from the corresponding solar wind data. The present result provides a scheme to predict the development of Dst 30 minutes to 1 hour in advance by using the real time solar wind data from the ACE spacecraft.

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Change of Spatial Form according to Spatial Function at ㄱ-shaped Corner Spaces of Houses in Early·Middle Joseon Dynasty (조선 전·중기 주택의 ㄱ자 꺾음부에서 공간기능에 따른 공간형식의 변화)

  • Kwon, Ah-Song;Jeon, Bong-Hee
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.34 no.7
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    • pp.79-88
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    • 2018
  • In the late Koryo Dynasty~early Joseon Dynasty, nationwide distribution of Ondol prompted the formation of ㄱ-shaped corner space. From this background, the spatial form changed according to the space function. In the case where the ondol is located in the bent portion, it would have formed a similar spatial form nationwide at the beginning of the 16th century. Until the middle of the 16th century the receptionists and the family rituals were carried out in the inner of the house, so ㄱ-shaped corner space gradually expanded. Also a special structure type using fultile rafters was used to cover the upper structure of the extended folded space. From the 17th century, ㄱ-shaped corner space was varied from wide and high to narrow and low. In addition to this, the space function of ㄱ-shaped corner is a small hall, a wooden floored room, and the kitchen. And Their spatial form also changes over time.

Numerical calculation of contrast transfer function for periodic line-space patterns (주기적인 선물체에 대한 Contrast Transfer Function의 수치계산)

  • 김형수;전영세;이종웅;김성호
    • Korean Journal of Optics and Photonics
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    • v.9 no.6
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    • pp.396-402
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    • 1998
  • The measurement of OTF(optical transfer function) is used for evalution of imaging performance of optical system as a standard method. In the mass-production, the contrast measurement of projected patterns is also popular because of its simplicity. In this study, a computer program which evaluates the CTF(contrast transfer function) of optical system for periodic line-space patterns is developed by using the diffraction imaging theory. The MTF(modulation transfer function) and CTF of an aberrated system are evaluated and analyzed for the third order aberrations expressed by the C-coefficients and the Zemike polynomials.

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A Study on the Resident Recognition of Common Space in Apartment (공동주택 거주자의 공유공간 인식에 대한 조사 연구)

  • Han, Min-Seung;Whang, Hee-Joon
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.35 no.4
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    • pp.45-52
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    • 2019
  • The most ordinary form of residential type in Korea is a plate-type apartment, and the common space in these apartment is attracting as an important factor for enhancing social exchanges among neighbors and forming community consciousness. In addition, it provides a sense of psychological security by enabling natural exchanges and communication in contemporary society. It is desirable to plan the flow of space in such a way that private, semi-private, semi-public, and public spaces are linked. Semi-private and semi-public spaces can be defined as common spaces. Semi-private spaces are strongly recognized in the order of unit household entrance, main entrance, elevator, corridor, staircase, playground, bench, trail, walkway and parking lot, exercise space, main/back gate, the ability to gratify is increased sense of belonging, ownership consciousness formation, defensive function. Semi-public space is strongly recognized in the order of playground, bench, exercise space, trail, main entrance, walkway and parking lot, unit household entrance, main/back gate, corridor, staircase, elevator, the ability to gratify is increase of social contact, Secondary activity space function. In addition, the function to gratify in the common space differs according to gender and age group among resident characteristics, and differs according to corridor type, parking lot type and main entrance type. Therefore, differentiated planning of common space is needed in consideration of these differences in the design of common space in future.

The Function of the Living Room and Anbang through the Activities of Daily Living and Family Rituals (일상 및 가정행사 공간을 통해 본 거실과 안방의 기능 -1992년과 2002년의 자녀성년기 가정의 비교를 중심으로-)

  • 장상옥;신경주
    • Journal of the Korean housing association
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    • v.14 no.5
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    • pp.83-94
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    • 2003
  • The aim of this study was to investigate the trend of the room where activities of daily living and family rituals(activities of non-daily living) were performed between 1992 and 2002. Research data was collected in 1992 and 2002 from households living in Seoul that have university student by using questionnaire surveys. Data was analyzed using the SPSS package program. The major findings of this study were as follows: 1) Living room was a multi-function space for various activities: receiving guests, family communication, ironing, sewing and dining as well as a kitchen. Anbang(master bed room) is the place where the couple sleeps. Anbang's function has changed from a multi-function space to a private space. 2) Most of the families performed the majority of the family rituals in the living room and Anbang. In 1992, traditional events and birthday parties were performed in Anbang, but in 2002, the trend has changed. This would mean that with time the majority of the family rituals were held in the living room. 3) Space planning is required to meet the dwellers' use of living room and Anbang.

RELATIONSHIPS BETWEEN INTEGRAL TRANSFORMS AND CONVOLUTIONS ON AN ANALOGUE OF WIENER SPACE

  • Cho, Dong Hyun
    • Honam Mathematical Journal
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    • v.35 no.1
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    • pp.51-71
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    • 2013
  • In the present paper, we evaluate the analytic conditional Fourier-Feynman transforms and convolution products of unbounded function which is the product of the cylinder function and the function in a Banach algebra which is defined on an analogue o Wiener space and useful in the Feynman integration theories and quantum mechanics. We then investigate the inverse transforms of the function with their relationships and finally prove that th analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions, can be expressed in terms of the product of the conditional Fourier-Feynman transforms of each function.

ON SOME PROPERTIES OF THE FUNCTION SPACE M

  • Lee, Joung-Nam
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.677-685
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    • 2003
  • Let M be the vector space of all real S-measurable functions defined on a measure space (X, S, $\mu$). In this paper, we investigate some topological structure of T on M. Indeed, (M, T) becomes a topological vector space. Moreover, if $\mu$, is ${\sigma}-finite$, we can define a complete invariant metric on M which is compatible with the topology T on M, and hence (M, T) becomes a F-space.