• 제목/요약/키워드: Space Properties

검색결과 3,205건 처리시간 0.03초

GEOMETRIC CHARACTERIZATIONS OF CANAL SURFACES IN MINKOWSKI 3-SPACE I

  • Fu, Xueshan;Jung, Seoung Dal;Qian, Jinhua;Su, Mengfei
    • 대한수학회보
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    • 제56권4호
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    • pp.867-883
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    • 2019
  • The canal surfaces foliated by pseudo spheres $\mathbb{S}_1^2$ along a space curve in Minkowski 3-space are studied. The geometric properties of such surfaces are shown by classifying the linear Weingarten canal surfaces, the developable, minimal and umbilical canal surfaces are discussed at the same time.

BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

  • Fu, Xi;Qiao, Jinjing
    • 대한수학회보
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    • 제58권2호
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    • pp.481-495
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    • 2021
  • In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in ℝn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space ��kγ. Secondly, we characterize Bloch space ��αω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

FIXED POINT THEOREMS FOR MӦNCH TYPE MAPS IN ABSTRACT CONVEX UNIFORM SPACES

  • Kim, Hoonjoo
    • 충청수학회지
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    • 제34권4호
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    • pp.345-353
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    • 2021
  • In this paper, first, we present new fixed point theorems for Mönch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for Mönch type multimaps in Hausdorff KKM L𝚪-spaces. Second, we show that Mönch type multimaps in the better admissible class defined on an L𝚪-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on 𝔎ℭ-maps whose ranges are 𝚽-sets.

ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS

  • Kim, Ju Myung
    • 대한수학회보
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    • 제50권1호
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    • pp.161-173
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    • 2013
  • This paper is concerned with the space $\mathcal{K}_{w^*}(X^*,Y)$ of $weak^*$ to weak continuous compact operators from the dual space $X^*$ of a Banach space X to a Banach space Y. We show that if $X^*$ or $Y^*$ has the Radon-Nikod$\acute{y}$m property, $\mathcal{C}$ is a convex subset of $\mathcal{K}_{w^*}(X^*,Y)$ with $0{\in}\mathcal{C}$ and T is a bounded linear operator from $X^*$ into Y, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\{S{\in}\mathcal{C}:{\parallel}S{\parallel}{\leq}{\parallel}T{\parallel}\}}^{{\tau}_{\mathcal{c}}}$, where ${\tau}_{\mathcal{c}}$ is the topology of uniform convergence on each compact subset of X, moreover, if $T{\in}\mathcal{K}_{w^*}(X^*, Y)$, here $\mathcal{C}$ need not to contain 0, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\mathcal{C}}$ in the topology of the operator norm. Some properties of $\mathcal{K}_{w^*}(X^*,Y)$ are presented.

Differences between N-PDFs derived from Continuum and Molecular Emission Toward the Orion A Molecular Cloud

  • Lee, Yong-Hee;Lee, Jeong-Eun;Yun, Hyeong-Sik;Kim, Jongsoo;Choi, Yunhee;Mairs, Steve;Johnstone, Doug
    • 천문학회보
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    • 제43권1호
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    • pp.66.2-66.2
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    • 2018
  • The probability distribution function of column density (N-PDF) has been used for studying the characteristics of molecular clouds. In particular, the properties of N-PDF can reveal the nature of turbulence and gravity inside the molecular cloud. We use the dust continuum emission at $450{\mu}m$ and $850{\mu}m$ observed as part of the JCMT Gould Belt Survey (GBS) (Mairs et al. 2016), the 12CO J=1-0 line observed with the 45 m telescope at Nobeyama Radio Observatory (NRO) (Shimajiri et al. 2011), 13CO, C18O and HCO+ J=1-0 observed with the 13.7 m telescope at Taeduk Radio Astronomy Observatory (TRAO), as part of the TRAO key science project, "mapping Turbulent properties In star-forming MolEcular clouds down to the Sonic scale" (TIMES; PI: Jeong-Eun Lee). We here present the N-PDFs derived from the continuum and the molecular line emission toward the Orion A molecular cloud and compare their behaviors in order to investigate the chemical and optical depth effects on the N-PDF.

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문화적 현상으로의 대중문화와 공간디자인의 관계성 연구 (A Study on Relationship of Popular Culture and Space Design by Cultural Phenomenon)

  • 민슬기;이찬
    • 한국실내디자인학회논문집
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    • 제20권4호
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    • pp.46-53
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    • 2011
  • Popular culture in modem society is that research is to understand the lives of the public. Since post-modem ism, in a clear perspective of the rapidly developing modern society, and the appearance of various societies have been drawn. Of the phenomenon is playing a large role in the admission of the public can see this was: strange places for the properties in the popular culture to analyze and find the meaning makes carry through their own perspective. It also dominates the field of spatial design for the public to understand cultural perspectives and positions should be aware of the importance of thinking. The relationship between spatial design and popular culture, modern society has become an essential point is changed popular culture that has more space, the design characteristics of the new changes will affect their position. In this study, playing a large role in the modern of culture properties, spatial design, looking at areas of social and cultural positions that are clearly focused. Therefore, the cultural phenomenon here in the popular culture of the design characteristics of the space, according to the visual design direction of modern society present in the space is presented.

건축공간요소를 활용한 인터페이스 사례 분석 - 2011년 이후 디지털아트 작품 사례의 인터페이스 특성 분석 - (Properties of the Interface using Elements of the Architectural Space - Analyzing Properties of the Interface on the Digital Artwork Practices since 2011 -)

  • 김미연;서동조
    • 한국멀티미디어학회논문지
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    • 제17권12호
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    • pp.1511-1520
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    • 2014
  • After 2011, with the spread of smart devices, large interfaces using the architectural space elements here and there in the cities. Recently the desire for the data has increased, and, following the increase of the range of use by the users, the communication utilizing various forms of interfaces is expected to become more active. In the past, certain range of architecture or parts of the facilities were as the interfaces, but, recently, the development of media technology and the display of various contents forced the utilization of many elements of architectural space in the interface aspects that were not used in the past. Accordingly, the research compare the relationship of the purpose, media environments, interface technology, data form and so on and consider the characteristic of what elements of architectural space are used in order to analyze the characteristic of interfaces used in digital art works. Especially,the research will consider the possibility of commercializing the trends in the interfaces of digital art works in the mediation region of city information services, and propose how to apply such possibility.

Photometry of dwarf galaxies in the Leo HI gas ring

  • 김묘진;정애리;이준협;임성순;김민진;이종철;고종완;양성철
    • 천문학회보
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    • 제38권1호
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    • pp.40.1-40.1
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    • 2013
  • The HI ring serendipitously found in the Leo I galaxy group is unique in size in the Local Universe. It is ~200kpc in diameter with MHI~$1.67{\times}109M{\odot}$, surrounding a pair of early type galaxies M105 and NGC 3384. Its origin is still under debate whether it is the remnant of formation of a galaxy group (primordial) or formed from stripped material during galaxy-galaxy interaction (tidal origin). Intriguingly a number of dwarf galaxies have been identified along the gas ring (with or without optical counterpart). Various properties of these dwarf galaxies such as dark matter content, color, and/or metallicity will allow us to pin down the origin of this large scale HI ring. We have obtained a mosaicked CFHT MegaCam image and the EVLA HI cube of the large scale gas ring. In this work we present optical and gas properties of dwarf galaxies identified in the CFHT data.

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Fabry-Perot Filter Constructed with Anisotropic Space Layer and Isotropic Mirrors

  • Qi, Hongji;Hou, Yongqiang;Yi, Kui;Shao, Jianda
    • Journal of the Optical Society of Korea
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    • 제17권1호
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    • pp.33-37
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    • 2013
  • In this study a new design concept of the Fabry-Perot filter, constructed with an anisotropic space layer and a couple of isotropic mirrors, was proposed based on the Maxwell equations and the characteristic matrix method. The single- and double-cavity Fabry-Perot filters were designed, and their optical properties were investigated with a developed software package. In addition, the dependence of the transmittance and phase shift for two orthogonal polarization states on the column angle of the anisotropic space layer and the incidence angle were discussed. We demonstrated that the polarization state of electromagnetic waves and phase shifts can be modulated by exploiting an anisotropic space layer in a polarization F-P filter. Birefringence of the anisotropic space layer provided a sophisticated phase modulation with varied incidence angles over a broad range, resulting in a wide-angle phase shift. This new concept would be useful for designing optical components with isotropic and anisotropic materials.

Spectral Deconvolution Analysis of Mafic Mineral in Irregular Mare Patches on the Moon

  • Hong, Ik-Seon;Yi, Yu;Park, Nuri
    • Journal of Astronomy and Space Sciences
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    • 제39권4호
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    • pp.127-139
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    • 2022
  • Irregular mare patches (IMPs), recently discovered on the Moon, are eruptions of magma on the lunar surface, and their origins are still in question. While prior studies on IMPs have mainly focused on optical image analysis, in this study, an analysis of the characteristics of minerals is performed exemplary for the first time. Modified Gaussian model (MGM) deconvolution was applied to the infrared spectrum to confirm the properties of the mafic mineral. Mafic minerals were analyzed for 6 olivine-rich (Ol-rich) IMPs out of 91 currently reported, and only 4 of them yielded results of significance. All four sites showed more abundance of Fe than Mg, and manifested a weak relationship with Mg-suite rock. However, a problem was discovered during the MGM application process due to pilot implementation. In order to solve this problem, it is required to adjust the MGM initial condition settings more precisely and to increase the signal to noise ratio of the observation data. Moreover, it is necessary to analyze the mineral properties for all IMPs considering minerals other than Ol and utilize them to deduce the origin of the IMPs.