• Title/Summary/Keyword: Property of Space

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WEAKLY DENSE IDEALS IN PRIVALOV SPACES OF HOLOMORPHIC FUNCTIONS

  • Mestrovic, Romeo;Pavicevic, Zarko
    • Journal of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.397-420
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    • 2011
  • In this paper we study the structure of closed weakly dense ideals in Privalov spaces $N^p$ (1 < p < $\infty$) of holomorphic functions on the disk $\mathbb{D}$ : |z| < 1. The space $N^p$ with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in $N^p$ is a principal ideal generated by an inner function. Consequently, a closed subspace E of $N^p$ is invariant under multiplication by z if and only if it has the form $IN^p$ for some inner function I. We prove that if $\cal{M}$ is a closed ideal in $N^p$ that is dense in the weak topology of $N^p$, then $\cal{M}$ is generated by a singular inner function. On the other hand, if $S_{\mu}$ is a singular inner function whose associated singular measure $\mu$ has the modulus of continuity $O(t^{(p-1)/p})$, then we prove that the ideal $S_{\mu}N^p$ is weakly dense in $N^p$. Consequently, for such singular inner function $S_{\mu}$, the quotient space $N^p/S_{\mu}N^p$ is an F-space with trivial dual, and hence $N^p$ does not have the separation property.

Path Space Approach for Planning 2D Shortest Path Based on Elliptic Workspace Geometry Mapping

  • Namgung, Ihn
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.92-105
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    • 2004
  • A new algorithm for planning a collision-free path based on algebraic curve is developed and the concept of collision-free Path Space (PS) is introduced. This paper presents a Geometry Mapping (GM) based on two straight curves in which the intermediate connection point is organized in elliptic locus ($\delta$, $\theta$). The GM produces two-dimensional PS that is used to create the shortest collision-free path. The elliptic locus of intermediate connection point has a special property in that the total distance between the focus points through a point on ellipse is the same regardless of the location of the intermediate connection point on the ellipse. Since the radial distance, a, represents the total length of the path, the collision-free path can be found as the GM proceeds from $\delta$=0 (the direct path) to $\delta$=$\delta$$\_$max/(the longest path) resulting in the minimum time search. The GM of elliptic workspace (EWS) requires calculation of interference in circumferential direction only. The procedure for GM includes categorization of obstacles to .educe necessary calculation. A GM based on rectangular workspace (RWS) using Cartesian coordinate is also considered to show yet another possible GM. The transformations of PS among Circular Workspace Geometry Mapping (CWS GM) , Elliptic Workspace Geometry Mapping (EWS GM) , and Rectangular Workspace Geometry Mapping (RWS GM), are also considered. The simulations for the EWS GM on various computer systems are carried out to measure performance of algorithm and the results are presented.

Implementation of a spaceborne GPS signal processing device and its performance analysis (우주용 GPS 수신기를 위한 신호 처리부 구현과 성능 분석)

  • Jin, Hyeun-Pil;Park, Seong-Baek;Kim, Eun-Hyouek;Yun, Ji-Ho;Lee, Hyun-Woo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.12
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    • pp.1065-1072
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    • 2014
  • We developed a GPS digital signal processing FPGA IP, SIGP-1001 to replace the obsolete GP2021 device, which has been used for many space-borne GPS receivers. From a series of tests, we verified that SIGP-1001 has equivalent performance to the GP2021 device under the same operating condition and concluded that SIGP-1001 can replace the GP2021 device. The reliability of a GPS receiver can be improved by using a space-grade FPGA with SIGP-1001 instead of the GP2021 device and its performance is expected to be improved by increasing the number of search channels.

A Study on Temporality of 'Phenomenology of music' in Rem Koolhaas's space (렘 콜하스 공간의 음악현상학적 시간성에 대한 연구)

  • Kang, So-Yeon;Yoon, Sang-Young;Yoon, Jae-Eun
    • Korean Institute of Interior Design Journal
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    • v.22 no.1
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    • pp.115-123
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    • 2013
  • Today, the views on Temporality of space have been changed not only to be based on the concept of time, but also to identify the space with a body adapted to the new circumstances. The study suggests that the actions of performers in space have been important by changes of views and are connected to the music phenomenology mixed with music whose tempo is the phenomenology related with of human consciousness itself, and derives the temporal property by putting them into Rem Koolhaas space with the fluid quality. According to Clifton's Phenomenology of Music, an understanding of music is made in both human body and consciousness as two ways to listen to sounds and enjoy music. Though a correlation between the characteristics of Clifton's Phenomenology of Music and one of resulted from uncertainty and immateriality of modern space Temporality, we could work out four kinds of characters which are the continuity of the fluidity from temporal programs, contrasting changes or synchronicity, the multidimensionality from synesthesia of line and face, ventilation by quality of the material and immaterial circumstances of sound effects, the implication in events resulted from cognition for information and unexpected actions, and the autonomy of the route of a variety of experiences including intimate connection of inter-related events and temporary and diverse external conditions. Hereby Temporality of musical phenomenology in Rem Koolhaas's space can be experienced by systems base oh the importance of host's motion, changes of programs according to the motion as well as uncertainty and immaterial changes. Due to the changes user's emotion and motion is undergone as Temporality that changes automatically.

A Study on the Characteristics of Organic Design Applied to Interior - Centering on Organic Design by Zaha Hadid, Karim Rshid, Fabio Nobembre and Nox - (실내공간에 나타난 유기적 디자인 표현 특성에 관한 연구 - 자하 하디드, 카림 라시드, 파비오 노벰브레, 녹스의 유기적 디자인 작품을 중심으로 -)

  • Lee, Yeon-Sil;Lee, Chang-No
    • Korean Institute of Interior Design Journal
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    • v.19 no.3
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    • pp.46-56
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    • 2010
  • The nature is the foundation of human life and arts, and human beings have found order and principle amid ceaseless change and harmonization of the nature and diversified patterns and directly or indirectly applied the nature to interior through discovered principles. Interior space to which the organic factors of the nature is an expression of the vitality of the nature and expresses live forms as seen in change, development and growth of living organisms in addition to human feelings. The study aims to recognize the necessity of studies on interior space to which organic expressive characteristics of the nature are applied in uniformed space, suggest expressive characteristics and propose needed basic data required at a time of designing interior space. In this regard, the study has examined works by five contemporary designers including Zaha Hadid, Karim Rashid, Fabio Novembre and Nox with an aim to analyze expressive characteristics of interior design and figure expressive characteristics of organic design found in interior space. According to analyses on preceding literary studies and case studies (14 places), it has been found that organic expressive characteristics in interior space include vision, tactile sensation and auditory sense in terms of sensitivity, immateriality in terms of a property of matter, metaphor and abstraction in terms of the form of natural objects and non-linear curves and free curves in organic design. Organic spaces were characterized by symbolism, directionality, continuity, pattern and superimposition. This conclusion is expected to be useful in subsequent studies on the application of organic expressive characteristic factors at a time of planning interior space in the future.

An Implementation of the Disaster Management Systems on the Space and Terrestrial System Damages by Solar Maximum (태양폭풍 영향 우주 및 육상시스템 피해에 관한 재난안전정보시스템 구현)

  • Oh, Jongwoo
    • Journal of the Society of Disaster Information
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    • v.8 no.4
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    • pp.419-431
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    • 2012
  • This paper takes precautions proposals against prospective disasters from the space weather maximum in 2013. A geomagnetic space storm sparked by a solar maximum like the one that flared toward earth is bound to strike again and could wreak havoc across the modern world. The purpose of the study is that the disaster reduction and safety service implementation study on the ultimate space weather systems by the information systems of the space weather. The process methods of the study are that an implementation of preparation for the smart IT and GIS based disaster management systems of the solar maximum deal with analysis on the flare, solar proton event, and geomagnetic storm from space blasters, These approach and methods for the solar maximin display national policy implementation of the pattern of the radio wave disasters from the protection and preparation methods. This research can provide affective methods for the saving lives and property protections that implementation of the disaster prediction and disaster prevention systems adapts the smart IT systems and converged decision making support systems using uGIS methodology.

Study on mapping of dark matter clustering from real space to redshift space

  • Zheng, Yi;Song, Yong-Seon
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.38.2-38.2
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    • 2016
  • The mapping of dark matter clustering from real to redshift spaces introduces the anisotropic property to the measured density power spectrum in redshift space, known as the Redshift Space Distortion (hereafter RSD) effect. The mapping formula is intrinsically non-linear, which is complicated by the higher order polynomials due to the indefinite cross correlations between the density and velocity fields, and the Finger-of-God (hereafter FoG) effect due to the randomness of the peculiar velocity field. Furthermore, the rigorous test of this mapping formula is contaminated by the unknown non-linearity of the density and velocity fields, including their auto- and cross-correlations, for calculating which our theoretical calculation breaks down beyond some scales. Whilst the full higher order polynomials remains unknown, the other systematics can be controlled consistently within the same order truncation in the expansion of the mapping formula, as shown in this paper. The systematic due to the unknown non-linear density and velocity fields is removed by separately measuring all terms in the expansion using simulations. The uncertainty caused by the velocity randomness is controlled by splitting the FoG term into two pieces, 1) the non-local FoG term being independent of the separation vector between two different points, and 2) the local FoG term appearing as an indefinite polynomials which is expanded in the same order as all other perturbative polynomials. Using 100 realizations of simulations, we find that the best fitted non-local FoG function is Gaussian, with only one scale-independent free parameter, and that our new mapping formulation accurately reproduces the observed power spectrum in redshift space at the smallest scales by far, up to k ~ 0.3 h/Mpc, considering the resolution of future experiments.

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DEEP-South: Photometric Study of NPA rotators 5247 Krolv and 14764 Kilauea

  • Lee, Hee-Jae;Kim, Myung-Jin;Moon, Hong-Kyu;Park, Jintae;Kim, Chun-Hwey;Choi, Young-Jun;Yim, Hong-Suh;Roh, Dong-Goo;Oh, Young-Seok
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.55.2-56
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    • 2016
  • The spin states of asteroids is regarded as an important clue to understand not only the physical property of an individual object but also the dynamical evolution of the of the population as a whole. Single asteroids can be broadly classified into two separate groups according to their rotational states; Principal Axis (PA) and Non-Principal Axis (NPA) rotators. To date, lightcurve observations have been carried out mostly for PA asteroids. However, discovery of NPA objects has recently been increased due to new observing techniques, and this is the reason why rotational properties of NPA rotators became an issue. As a DEEP-South pilot study for NPA, we selected two targets, 5247 Krolv (1982 UP6) and 14764 Kilauea (7072 P-L) considering their Principal Axis Rotation (PAR) code and visibility. Observations were made between Jan. and Feb. 2016 for 17 nights employing Korea Microlensing Telescope Network (KMTNet) 1.6 m telescopes installed at SSO and SAAO using DEEP-South TO (Target of Opportunity) mode. To obtain lightcurves, we conducted time-series photometry using Johnson-Cousins R-filter. Multi-band photometry was also made with BVRI filters at the same time, for taxonomy. Their preliminary lightcurves and approximate mineralogy will be presented.

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The compensation for damage by space accidents (우주손해배상법에 관한 약간의 고찰)

  • Kim, Sun-Ihee
    • The Korean Journal of Air & Space Law and Policy
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    • v.22 no.2
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    • pp.3-25
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    • 2007
  • In 2002 Republic of Korea successfully launched a self-made mined proportion rocket and it is expected that she will be able to have own space launching system by 2010. According to Article 14 of the Space Exploration Promotion Act, a new law should be established to impose the limit of compensation for the damage by space accident. Therefore, The Space Accident Liability Act was passed in Korean Congress on Nov. 22, 2007 and it will be enforced in six months. The purpose of this Act is to provide reparation for the damage of the third parties that a launch causes; and the Commonwealth should be insured against any possible space accidents to pay for such a damage. Here space accident means the damages to our life, body, and properties from the launching of space objects. There should be an actual loss to establish the compensation of Liability Act. Article 2 in Liability Act defines "damage" as follows: the term "damage" means loss of life, personal injury or loss of or damage to property of persons. Physical and material damages are included in the conception of damage. The meaning of a launching includes any test launch and launch for a real arrangement which will ultimately provides a wide range of compensation. Article 4 indicates that absolute liability should be imposed in compensating for damage by space accidents. Article 4 also indicates that a launching party should be absolutely liable to compensate for the damage caused by its space object on the surface of the Earth. In general, liability stands where fault is. But if the activity is ultra-hazardous and causes serious harm, the individual needs to compensate for the damage unlimitedly. Because of the many launchings for the Seattleite launching, a launching organization is obligated to the liability insurance in preparation for the space accidents. According to the Article 6 of Space Accident Liability Act, to be insured for the compensation for damage is obligatory. It says: "In accordance with Article 11 in the Space Exploration Promotion Act, the person who wants to receive an approval f3r launching needs to be insured in compensation for the possible damage by space accidents.

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SPECIFIC ANALYSIS OF WEB CAMERA AND HIGH RESOLUTION PLANETARY IMAGING (웹 카메라의 특성 분석 및 고해상도 행성촬영)

  • Park, Young-Sik;Lee, Dong-Ju;Jin, Ho;Han, Won-Yong;Park, Jang-Hyun
    • Journal of Astronomy and Space Sciences
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    • v.23 no.4
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    • pp.453-464
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    • 2006
  • Web camera is usually used for video communication between PC, it has small sensing area, cannot using long exposure application, so that is insufficient for astronomical application. But web camera is suitable for bright planet, moon, it doesn't need long exposure time. So many amateur astronomer using web camera for planetary imaging. We used ToUcam manufactured by Phillips for planetary imaging and Registax commercial program for a video file combining. And then, we are measure a property of web camera, such as linearity, gain that is usually using for analysis of CCD performance. Because of using combine technic selected high quality image from video frame, this method on take higher resolution planetary imaging than one shot image by film, digital camera and CCD. We describe a planetary observing method and a video frame combine method.