• Title/Summary/Keyword: 상수학(象數學)

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The Characteristics of Zhu Xi's Theory of I-Qing in Yi Xue Qi Meng(易學啓蒙) (『역학계몽』에 나타난 주자역학의 특징 - 소강절 역학의 수용과 변용을 중심으로 -)

  • Yi, Suhn Gyohng
    • The Journal of Korean Philosophical History
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    • no.28
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    • pp.387-415
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    • 2010
  • This article examines Zhu Xi(朱熹)'s theory of I-Qing(易經) present in Yi Xue Qi Meng. Zhu Xi aims to establish a novel Confucian theory of I-Qing, examining the study of I-Qing in Han Dynasity and the Taoist theory of I-Qing. To this end, he embraces Shao Yong(邵雍)'s theory of Xian Tian. Adapting the notion of Xian Tian(先天) as developed by Shao, he completes the Image-Number(象數) Theory of Hetu-Luoshu(河圖洛書). While discussing Hetu Luoshu, Zhu Xi argues that the Image and Number are not merely a form of prognostication, but a medium that reveals the principles of the nature and the sagely ways of mind. In addition, by studing I-Zhuan(易傳) in authoring Yi Xue Qi Meng, Zhu Xi maintains that the notions of Image and Number as he understands were to be approved by Confucius. This leads to the unification of Sho Yong's Tai-Ji(太極), Zou Dun Yi(周 敦頤)'s Tai-Ji, and Tai-Ji in Hetu. Through this work, Zhu Xi attempts to construct a systematic philosophy that straddles ontology and value theory, while identifying Li (理) with Xiang (象) and Shu (數). The Image-Number Theory of Hetu-Luoshu has replaced numerous theories of Image and Number at the time of Zhu Xi. Based on this theory, he restores the method of divination as presented in Xi CI Zhuan(繫辭傳). By successfully applying his theory of Image and Number to interpreting a number of recorded examples of divination during the Spring and Autumn period and the Warring States period, Zhu Xi demonstrates that his theory is not only an abstract metaphysical theory, but also can function as an adaptable method of divination.

Complex Dielectric Constant of Soil Contaminated by Landfill Leachate with Measured Frequency (매립지 침출수로 오염된 토양의 측정주파수에 따른 유전특성 변화)

  • Oh Myoung-Hak;Bang Sun-Young;Park Jun-Boum;Lee Ju-Hyung;Lee Seock-Heon;Ahn Kyu-Hong
    • Journal of Soil and Groundwater Environment
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    • v.9 no.3
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    • pp.1-11
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    • 2004
  • To evaluate the applicability of dielectric constant measurement method on the geoenvironmental investigation of subsurface contaminated by landfill leachate, the analysis on dielectric characteristics of sand containing contaminated pore water by landfill leachate was performed. The separate real and imaginary parts of dielectric constant were investigated in the frequency range of 75kHz to 12MHz. The real part of dielectric constant increased at the lower frequency wherea the real part of dielectric constant decreased at the higher frequency as the concentration of leachate increased. These results can be explained by the frequency dependence of space charge polarization and orientation polarization. The imaginary part of dielectric constant on the contaminated sand with leachate increased with their concentration for whole frequency range. These results are caused by the increase of energy loss due to the enhancement of conduction in soil with leachate concentration. The results in this study indicate that the dielectric constant measurement method has potential in evaluating the contaminated soil and pore water by landfill leachate.

A History and Meaning of the Number ${\varrho}$ (${\varrho}$의 역사적 기원과 의의)

  • 김성숙
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.33-42
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    • 2004
  • ${\varrho}$ is the real constant number that appears not only in calculus but also in a real life. The concept of the number ${\varrho}$ first appeared in an appendix of Napier's work on logarithms in 1618. The early developments on the logarithm became part of an understanding of the number ${\varrho}$. In 1727, the number ${\varrho}$ was studied by Euler explicitly. It ton14 almost 100 years to understand the number ${\varrho}$ which we learn in high school nowadays. By studying the origin of the number ${\varrho}$, we can guess that many mathemetician's research in our time will have significant meaning in the future although it looks like just some calculations of cohomology or K-theory etc.

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Applicability of Permittivity Measurement Method for Investigating the Heavy Metal Contamination of Subsurface (지반의 중금속 오염도 조사를 위한 흙의 유전상수 측정기법의 적용성 평가)

  • Oh, Myoung-Hak;Kim, Yong-Sung;Yoo, Dong-Ju;Park, Jun-Boum
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.499-506
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    • 2005
  • 지반오염조사에 대한 유전상수 측정기법의 적용성을 평가하기 위하여 중금속 오염도에 따른 흙의 유전특성 변화를 분석하였다. 유전상수의 실수부와 허수부 모두 체적함수비에 따른 증가경향을 나타내었으며, 특히 MHz 범위에서 유전상수 실수부는 쌍극자모멘트에 비례하기 때문에 흙의 유전상수는 체적함수비에 따른 선형적인 증가경향을 나타내었다. 중금속 용액은 50kHz 이하의 저주파영역에서 전극 분극효과에 의해 농도 증가에 따라 유전상수 실수부가 증가하는 경향을 나타내었으나, 고주파 영역에서는 이온의 수화작용에 의한 물분자의 배향분극 발현 감소로 인하여 유전상수 실수부가 감소하였다. 유전상수 허수부의 경우에는 모든 주파수 영역에서 중금속 농도 증가에 따른 전도손실에 의하여 증가하는 경향을 나타내었다. 흙과 중금속 혼합시료의 경우 함수비가 큰 시료에서는 중금속 용액 자체의 유전특성이 그대로 발현되었으나, 함수비가 작은 시료에서는 공간전하분극의 영향이 우세하여 유전상수 실수부가 10-20%정도 증가하는 경향을 나타내었다. 유전상수 허수부의 경우에는 중금속 농도 증가에 따른 뚜렷한 증가경향을 확인할 수 있었다. 본 연구의 결과에 의하면 중금속의 오염감지에 대해서는 유전상수 실수부보다는 허수부의 적용성이 높은 것으로 나타났으며, 현장에서의 정확한 오염도 평가를 위해서는 함수비에 대한 평가가 선행되어야 할 것으로 판단된다.

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Low-k plasma polymerized cyclohexan: single layrer and double layer

  • 최자영;권영춘;여상학;정동근
    • Proceedings of the Korean Vacuum Society Conference
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    • 2000.02a
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    • pp.74-74
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    • 2000
  • 낮은 유전상수(k$\leq$3)와 높은 열적안정성(>4$25^{\circ}C$)은 초고집적회로(ULSI)기술에서 RC 지연을 해결하기 위한 금속배선의 중간 절연층으로서의 2개의 가장 중요한 특성이다. 본 연구에서는 cyclohezane을 precursor로 사용하여 plasma enhanced chemical vapor deposition(PECVD)방법으로 유기박막을 성장시켰으며 낮은 유전상수와 높은 열적안정성을 동시에 확보하기 위하여 열적안정성은 좋지 않지만 유전상수가 낮은 박막(soft layer)위에 유전상수는 다소 높지만 열적안정성이 좋은 박막(hard layer)을 얇게 증착하여 hard layer/soft layer의 2층 구조를 형성하여서 구조적, 전기적 특성을 조사하였다. 유기박막은 5$0^{\circ}C$로 유지된 reactor 내부에서 argon(Ar) plasma에 의해 증착되었으며 platinum(Pt)기판과 silicon 기판위에 동시에 증착하였다. Pt 기판위에 증착한 시편으로 유전상수, I-V 등 전기적 특성을 측정하였고, silicon 기판위에 증착한 시편으로 열적안정성과 구조적 특성등을 분석하였다. 증착압력 0.2Torr에서 plasma power를 5W에서90W로 증가할 때 유전상수는 2.36에서 3.39로 증가하였으며 열적안정성은 90W에서 180W로 증가하였을 때 유전상수는 2.42에서 2.79로 증가하엿고 열적안정성은 모두30$0^{\circ}C$이하였다. 단일층 구조에서는 유전상수가 낮은 박막은 열적으로 불안정하고 열적 안정성이 좋은 박막은 유전상수가 다소 높은 문제가 나타났다. 이런 문제를 해결하기 위하여 2 Torr, 120W에서 증착한 유전상수가 2.55이고 열적으로 불안정한 박막을 soft layer로 5150 증착하고 그 위에 0.2Torr, 90W에서 증착한 유전상수가 3.39이고 열적으로 45$0^{\circ}C$까지 안정한 박막을 hard layer로 360 , 720 , 1440 증착하였다. 증착된 2층구조 박막의 유전상수는 각각 2.62, 2.68, 2.79이었으며 열적안정성 측정에서는 40$0^{\circ}C$까지 두께 감소가 보이지 않았다. 그러나 SEM 측정에서 열처리 후 표면이 거칠어지는 현상이 발견되었다.

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The Relation of the Cosmology and Xiangshuxue of Jang, Hyeon-Guang (장현광 우주론의 상수학적 성격에 대한 검토)

  • Kim, Moon-yong
    • (The)Study of the Eastern Classic
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    • no.33
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    • pp.7-29
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    • 2008
  • Jang, Hyeon-Guang is one of the representative natural philosophers of Joseon Korea. This article aims to investigate the meaning of the factors of Xiangshuxue(象數學) contained in his cosmology. Xiangshuxue applies Image(Xiang), Numeral(Shu) and In-Yang to present the distinctions, inter-relations and time-series orders of things. Jang's cosmology, combined with Xiangshuxue, insisted that Li(Principle) is infinite in time and space, the cosmos is finite on the other side. This assures that the moral principle is absolute and eternal. Jang emphasized the book I-ching as the criterion and the model in understanding the nature. This restrained the objectivizm of Shaoyong and made his concept 'natural law' difficult to change itself as the experience and the knowledge expand. None the less, his cosmology is appraised in that it strengthened natural philosophical basis of neo-confucianism and preceded the cosmological investigations since mid-Joseon dynasty.

A Development of Pipe Safety Management System by GIS (GIS를 이용한 상수도관의 안전도 관리시스템 개발)

  • 최병길;조영호;전왕규
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.311-317
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    • 1998
  • GIS is the system that has ability of integrating, managing, and analyzing the voluminous graphic and text data, which is adequate system to manage complex network of the underground utilities of urban area. A development of pipe safety management system is accomplished to construct efficiently a database of pipe line network and topographic data, create safety managing model, and estimate openly its safety by GIS. This system is constructed to evaluate easily pipe deterioration by the establishment of the geographic output system on it, search damaged objectives near surrounding area in a situation of destruction, and offer the information by which one can take quickly emergency. And also, it is constructed to prevent from accident occurring under work by presenting underground utilities and states of work.

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파이겐바움 분기도를 그리는 과정에서 엑셀의 활용

  • An, Dae-Yeong
    • Communications of Mathematical Education
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    • v.15
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    • pp.255-260
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    • 2003
  • 1980년을 전후하여 카오스연구가 물리학에서 왕성하게 이루어졌다. 미국의 물리학자 파이겐바움(M. J. Feigenbaum)이 보편상수를 발견한 것이(1978) 중요한 계기가 되었다. 파이겐바움의 보편상수는 카오스현상에서 공통적으로 발견할 수 있다. 보편상수를 탐구하기 위해서는 주기, 배가, 파이겐바움 분기도에 대한 이해가 필요하다. 프로그래밍을 통하여 일반적으로 소개하고 있으므로, 프로그래밍에 대한 깊은 이해없이는 분기도를 탐구하기 어렵다. 프로그래밍을 통해서는 나타나는 결과만을 이해할 수 있다. 이 논문에서는 학습자가 프로그래밍 이전에 엑셀의 기능을 이용하여 파이겐바움 분기도를 그릴 수 있는 방법을 제시하고, 파이겐바움의 주기에 대해 엑셀을 이용하여 시각적으로 이해할 수 있도록 한다.

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Complex Permittivity of Sand at Low Frequency (저주파수 영역에서 측정된 사질토의 유전특성)

  • Oh Myoung Hak;Kim Yong Sung;Park Jun Boum;Yoon Hyun Suk
    • Journal of the Korean Geotechnical Society
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    • v.21 no.2
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    • pp.93-103
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    • 2005
  • This study was performed to identify the presence of measurement distortions such as electrode polarization and to investigate the influence of soil water content on complex permittivity at low frequency. In low frequency measurement using two-terminal electrode system, electrode polarization effect was observed at frequencies less than approximately 100 HBz. The analysis for real permittivity should be performed at frequencies above 100 kHz in order to exclude electrode polarization effect in the analysis of real permittivity at low frequency measurements. For a given soil, both of real and effective imaginary permittivity of wet soil increased continuously with volumetric water content. This is evidenced by the facts that the real permittivity is proportional to the number of dipole moments per unit volume and effective imaginary permittivity is effected by the conduction due to water. However, proportional relation between real permittivity and volumetric water content is valid at upper MHz frequencies.

Study on Availability about the Dielectric Constant of SiOC Thin Film (SiOC 박막의 허용 가능한 유전상수 설정에 대한 연구)

  • Oh, Teresa
    • Journal of the Korean Vacuum Society
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    • v.19 no.5
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    • pp.347-352
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    • 2010
  • To research the reduction of the dielectric constant depending on the ionic and electronic effects, the dielectric constant of SiOC film was obtained by C-V measurement using the structure of metal/SiOC film/Si, and $n^2$ calculated by the refractive index. The dielectric constant of SiOC film consists with dipole, ions and electrons. However, the dipole moment is ignored in the effect of dielectric constant in SiOC film. THe SiOC film was deposited by the plasma energy, and the gas precursor was dissociated and recombined. Therefore, the dielectric constant of the deposited film consisted of the polarity with ions. THe dielectric constant decreased after annealing process, because of the evaporation of OH hydroxyl group with polarity. The ideal SiOC film as low-k materials was annealed film with lowering the polarity, which is suitable for physical-chemical and electrical properties as an inter layer dielectric materials.