• 제목/요약/키워드: M space

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SOME FIXED POINT THEOREMS AND EXAMPLE IN $\cal{M}$-FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제17권3호
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    • pp.205-209
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    • 2010
  • We introduce the concept of semi-compatible and weak-compatible in $\cal{M}$-fuzzy metric space, and prove some fixed point theorem for four self maps satisfying some conditions in $\cal{M}$-fuzzy metric space.

A GENERALIZATION OF DIFFERENTIAL FORMS AND ITS APPLICATION

  • Shikata, Yoshihiro;Hong, Suk-Ho
    • 대한수학회보
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    • 제28권2호
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    • pp.225-229
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    • 1991
  • Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.

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Performance Analysis for Mirrors of 30 cm Cryogenic Space Infrared Telescope

  • Park, Kwi-Jong;Moon, Bong-Kon;Lee, Dae-Hee;Jeong, Woong-Seob;Nam, Uk-Won;Park, Young-Sik;Pyo, Jeong-Hyun;Han, Won-Yong
    • Journal of Astronomy and Space Sciences
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    • 제29권3호
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    • pp.321-328
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    • 2012
  • We have designed a 30 cm cryogenic space infrared telescope for astronomical observation. The telescope is designed to observe in the wavelength range of 0.5~2.1 ${\mu}m$, when it is cooled down to 77 K. The result of the preliminary design of the support structure and support method of the mirror of a 30 cm cryogenic space infrared telescope is shown in this paper. As a Cassegrain prescription, the optical system of a 30 cm cryogenic space infrared telescope has a focal ratio of f/3.1 with a 300 mm primary mirror (M-1) and 113 mm secondary mirror (M-2). The material of the whole structure including mirrors is aluminum alloy (Al6061-T6). Flexures that can withstand random vibration were designed, and it was validated through opto-mechanical analysis that both primary and secondary mirrors, which are assembled in the support structure, meet the requirement of root mean square wavefront error < ${\lambda}/8$ for all gravity direction. Additionally, when the M-1 and flexures are assembled by bolts, the effect of thermal stress occurring from a stainless steel bolt when cooled and bolt torque on the M-1 was analyzed.

ANALOGUE OF WIENER INTEGRAL IN THE SPACE OF SEQUENCES OF REAL NUMBERS

  • Ryu, Kun Sik
    • 충청수학회지
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    • 제25권1호
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    • pp.65-72
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    • 2012
  • Let T > 0 be given. Let $(C[0,T],m_{\varphi})$ be the analogue of Wiener measure space, associated with the Borel proba-bility measure ${\varphi}$ on ${\mathbb{R}}$, let $(L_{2}[0,T],\tilde{\omega})$ be the centered Gaussian measure space with the correlation operator $(-\frac{d^{2}}{dx^{2}})^{-1}$ and ${\el}_2,\;\tilde{m}$ be the abstract Wiener measure space. Let U be the space of all sequence $<c_{n}>$ in ${\el}_{2}$ such that the limit $lim_{{m}{\rightarrow}\infty}\;\frac{1}{m+1}\;\sum{^{m}}{_{n=0}}\;\sum_{k=0}^{n}\;c_{k}\;cos\;\frac{k{\pi}t}{T}$ converges uniformly on [0,T] and give a set function m such that for any Borel subset G of $\el_2$, $m(\mathcal{U}\cap\;P_{0}^{-1}\;o\;P_{0}(G))\;=\tilde{m}(P_{0}^{-1}\;o\;P_{0}(G))$. The goal of this note is to study the relationship among the measures $m_{\varphi},\;\tilde{\omega},\;\tilde{m}$ and $m$.

SELF-MAPS ON M(ℤq, n + 2) ∨ M(ℤq, n + 1) ∨ M(ℤq, n)

  • Ho Won Choi
    • 충청수학회지
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    • 제36권4호
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    • pp.289-296
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    • 2023
  • When G is an abelian group, we use the notation M(G, n) to denote the Moore space. The space X is the wedge product space of Moore spaces, given by X = M(ℤq, n+ 2) ∨ M(ℤq, n+ 1) ∨ M(ℤq, n). We determine the self-homotopy classes group [X, X] and the self-homotopy equivalence group 𝓔(X). We investigate the subgroups of [Mj , Mk] consisting of homotopy classes of maps that induce the trivial homomorphism up to (n + 2)-homotopy groups for j ≠ k. Using these results, we calculate the subgroup 𝓔dim#(X) of 𝓔(X) in which all elements induce the identity homomorphism up to (n + 2)-homotopy groups of X.

The Properties of M33 Star Cluster System

  • Park W -K.;Lee M.S.;Park H.S.;Kim S. C.;Park J. -H.;Lee S. -G.;Oh S.J;Lee Y.-W.;Sohn Y. -J.;Rey S. -C.;Yuk I. -S.;Kim H. -I.;Han W
    • 천문학회보
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    • 제30권1호
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    • pp.38.2-38.2
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    • 2005
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Study on the Preliminary Design of ARGO-M Operation System

  • Seo, Yoon-Kyung;Lim, Hyung-Chul;Rew, Dong-Young;Jo, Jung-Hyun;Park, Jong-Uk;Park, Eun-Seo;Park, Jang-Hyun
    • Journal of Astronomy and Space Sciences
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    • 제27권4호
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    • pp.393-400
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    • 2010
  • Korea Astronomy and Space Science Institute has been developing one mobile satellite laser ranging system named as accurate ranging system for geodetic observation-mobile (ARGO-M). Preliminary design of ARGO-M operation system (AOS) which is one of the ARGO-M subsystems was completed in 2009. Preliminary design results are applied to the following development phase by performing detailed design with analysis of pre-defined requirements and analysis of the derived specifications. This paper addresses the preliminary design of the whole AOS. The design results in operation and control part which is a key part in the operation system are described in detail. Analysis results of the interface between operation-supporting hardware and the control computer are summarized, which is necessary in defining the requirements for the operation-supporting hardware. Results of this study are expected to be used in the critical design phase to finalize the design process.

공간구문론을 이용한 단독주택 공간배치 변화 - 1980년 이후 단독주택 중 유명건축가의 작품과 수상작품을 중심으로 - (The Change of Space Arrangement of Korea Detached House by Space Syntax - A Focusing on the Detached Houses which were Designed by Famous Architects after 1980s' -)

  • 황용운
    • 한국실내디자인학회논문집
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    • 제26권3호
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    • pp.63-70
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    • 2017
  • The purpose of this study is to analyze the inner space of detached houses from 1980 to 2016. It was used 'space syntax program' for analysis and analyzed with intervals of 10 years as 1980~1990, 1990~2000 and so on. The research results will be summarized as follows: 1) Overall, all inner space that was examined shows a trend that integration space tends to increase while segregating space tends to decrease. 2) In the case of the master bedrooms(M B) in 1980s, these were composed of 2 rooms as a front room(F R) and a master bedroom type, but as time went by, the F R which was attached room to the M B disappeared. While inside space of M B attached powder-room and wardrobe instead of the F R of the M B. And F R was an integrated space at first in 1980s, but it began to change to a segregating space to protect personal privacy. 3) The dining(D) and kitchen(K) spaces were strictly separated in the 1980s but began to change to D+K and L+D+K types after 1990. 4) In the 2000s, the most typical living space in every house is continuing to change from an separate space in the other space to an integrated space where it is clearly seen from the kitchen and the dining room in the types as L+D and L+D+K.

METALLICITIES OF GLOBULAR CLUSTRES M3 AND M5 FROM VI CCD PHOTOMETRY

  • Sohn, Young-Jong;Lee, Hyun-Chul
    • Journal of Astronomy and Space Sciences
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    • 제17권1호
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    • pp.1-10
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    • 2000
  • To derive the metallicities of M3 and M5, we used the shape of red giant branch, horizontal branch magnitude, and red giant branch bump on the (V-I)-V color magnitude diagrams. [Fe/H] values ranging -1.46 ∼ -1.69 for M3, and -1.00 ∼ -1.49 for M5 are estimated. These values are in good agreements with the previously determined ones. This result leads the morphologies of red giant and horizontal branches on the (V-I)-V color magnitude diagrams can be good indirect metallicity indicators of galactic globular clusters.

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전용면적 60 m2, 85 m2 아파트 평면 유형에서 실 치수의 통계적 특성에 관한 연구 (A Study on Statistical Characteristics of Space Dimension of 60 m2, 85 m2 Size Apartment Plan Types in Seoul)

  • 김민경;윤재신
    • 한국주거학회논문집
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    • 제21권1호
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    • pp.53-65
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    • 2010
  • Apartment buildings represent the most typical patterns of housing in Korea. The present plans are very different from the previous ones when they appeared for the first time. Although apartment unit plans has changed drastically, they can be classified into several categories. Apartment unit plans reflects the demands of living activities and space dimensions of unit plans have the characteristics of diachronic continuity and carry the values of living culture. Thus this study aims to provide the statistical dimensional data of each room that can be actually used for the design of unit plans by sub-grouping typical unit plans. The statistical data of this study showed that apartment unit plans are shifting from 2bay/3room type to 3bay/3room type in 1990s. It is very peculiar that the typical unit plan of $60\;m^2$ area becomes to resemble that of $85\;m^2$ area. The space arrangement of typical unit plans of both $60\;m^2$ and $85\;m^2$ area is almost identical while only their space dimensions differ slightly. As the mean/mode/median values of space dimensions in a typical unit plan are converging into a range of narrow margin, space dimensions of typical unit plan are contended to be strictly regular. The statistical numeric data of various space dimensions provided in this paper can be applied practically to the design of apartment unit plans for low income class people who are disprivileged in the society.