• Title/Summary/Keyword: 최소자승

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Site Characterization using Shear-Wave Velocities Inverted from Rayleigh-Wave Dispersion in Wonju, Korea (레일리파 분산을 역산하여 구한 횡파속도를 이용한 원주시의 부지특성)

  • Kim, Chungho;Ali, Abid;Kim, Ki Young
    • Geophysics and Geophysical Exploration
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    • v.17 no.1
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    • pp.11-20
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    • 2014
  • To reveal shear-wave velocities ($v_s$) and site characterization of Wonju, Korea, Rayleigh waves were recorded at 78 sites of lower altitude using 12 to 24 4.5-Hz vertical geophones for 20 days during the period of February to September 2013. Dispersion curves of the Rayleigh waves obtained by the extended spatial autocorrelation method were inverted using the damped least-squares method to derive $v_s$ models. From these 1-D models, the average $v_s$ to a depth of 30 m ($v_s30$), $v_s$ of weathered rocks, depths to these basement rocks, and average $v_s$ of the overburden layer were derived to be $16.3{\pm}0.7m$, $576{\pm}8m/s$, $290{\pm}7m/s$, and $418{\pm}13m/s$, respectively, in the 95% confidence range. To determine adequate proxies for $v_s30$, we computed correlation coefficients of $v_s30$ with topographic slope (r = 0.46) and elevation (r = 0.43). An empirical linear relationship is presented as a combination of individually estimated $v_s30$ with weighting factors of 0.45, 0.45, and 0.1 for topographic slope, elevation, and mapped lithology, respectively. Due to a weak correlation between $v_s30$ obtained from inversion of dispersion curves and the proxy-based estimation (r = 0.50), however, the relatively large error range should be considered for applications of this relationship.

Evolutionally optimized Fuzzy Polynomial Neural Networks Based on Fuzzy Relation and Genetic Algorithms: Analysis and Design (퍼지관계와 유전자 알고리즘에 기반한 진화론적 최적 퍼지다항식 뉴럴네트워크: 해석과 설계)

  • Park, Byoung-Jun;Lee, Dong-Yoon;Oh, Sung-Kwun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.2
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    • pp.236-244
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    • 2005
  • In this study, we introduce a new topology of Fuzzy Polynomial Neural Networks(FPNN) that is based on fuzzy relation and evolutionally optimized Multi-Layer Perceptron, discuss a comprehensive design methodology and carry out a series of numeric experiments. The construction of the evolutionally optimized FPNN(EFPNN) exploits fundamental technologies of Computational Intelligence. The architecture of the resulting EFPNN results from a synergistic usage of the genetic optimization-driven hybrid system generated by combining rule-based Fuzzy Neural Networks(FNN) with polynomial neural networks(PNN). FNN contributes to the formation of the premise part of the overall rule-based structure of the EFPNN. The consequence part of the EFPNN is designed using PNN. As the consequence part of the EFPNN, the development of the genetically optimized PNN(gPNN) dwells on two general optimization mechanism: the structural optimization is realized via GAs whereas in case of the parametric optimization we proceed with a standard least square method-based learning. To evaluate the performance of the EFPNN, the models are experimented with the use of several representative numerical examples. A comparative analysis shows that the proposed EFPNN are models with higher accuracy as well as more superb predictive capability than other intelligent models presented previously.

CCD Photometry of a δ Scuti Variable HR 2707 (=21 Mon) (δ Scuti형 변광성 HR 2707(=21 Mon)의 CCD 측광)

  • Lee, Ho;Kim, Seung-Lee;Cho, Sung-Il;Park, Hong-Suh
    • Journal of the Korean earth science society
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    • v.27 no.6
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    • pp.670-676
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    • 2006
  • We present a B and V band time-series CCD photometry of ${\delta}$ Scuti type variable star HR 2707. The observation was carried out for 45 nights between November 13, 2001 and February 20, 2002 with a 40 cm telescope equipped with a 1K CCD camera at the Korea National University of Education Optical Astronomy Observatory. Through the time-series CCD photometry we obtained 3011 V band and 6562 B band CCD frames. In some of these data, the V band data obtained for seven nights in January of 2002, had been used as a part of a multi-site campaign by Lopez de Coca et al. (2003). To detect pulsational frequencies, we used Discrete Fourier Transformation (DFT) and linear least square method. We have detected eight resonable pulsational frequencies and compare to previous studies we determine $f_1,\;f_2,\;f_3,\;f_4,\;f_5$ of Lopez do Coca et al. (2003) and $f_4$ for derived from this study are real pulsational frequencies of HR 2707.

Solvation in Mixed Solvent (III). Solvatochromic Analysis for the Solvent Effect of Binary Mixed Solvent (혼합용매에서의 용매화 (제3보). 이성분 혼합용매 중에서 용매효과에 대한 분광용매화 분석)

  • Lee, Ik-Choon;La, Sang-Mu;Lee, Bon-Su;Sohn, Se-Chul
    • Journal of the Korean Chemical Society
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    • v.28 no.4
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    • pp.210-216
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    • 1984
  • Solvatochromic comparison methods were applied to determine Taft's solvent parameters, ${\pi}^{\ast}$(solvent polarity-polarizability), ${\alpha}$(solvent hydrogen bond donor acidity) and ${\beta}$ (solvent hydrogen bond acceptor basicity) for MeOH-MeCN solvent mixtures. Swain's solvent parameters A(anion solvation scale) and B(cation solvation scale) were also determined by least square fitting of kinetic data in the same binary solvent mixtures. It was found that: (i)${\beta}$ depends on the basicity of the solvent and increases with the MeOH content owing to the increase in polymeric structure of methanol; (ii) ${\pi}^{\ast}$depends on the dipole moment of the solvent and increases with the MeCN content of the solvent; (iii) ${\alpha}$ increases rapidly with the MeOH content as the hydrogen bond donor acidity of the solvent mixtures increases. Taft's reaction constants a and s and Swain's reaction constants a and b were determined for the reactions reported from our laboratory previously using solvent parameters determined in this work. No meaningful inter-relationship was found between the two set of reaction parameters, but a good linear correlation was found between the ratios a/s and a/b. Solvent effect on the reaction mechanism, substituent effect and leaving group ability were examined in the light of these reaction constants ratios.

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The Crystal and Molecular Structure of p-Phenylenediamine Dihydroperchlorate (p-Phenylenediamine Dihydroperchlorate의 결정 및 분자구조)

  • Ahn Choong Tai
    • Journal of the Korean Chemical Society
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    • v.21 no.5
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    • pp.320-329
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    • 1977
  • p-Phenylenediamine dihydroperchlorate, $C_6H_4N_2H_4{\cdot}2HC1O_4$, crystallizes in space group $P\={1}$ with $a=4.79{\pm}0.02,\;b=9.03{\pm}0.02,\;c=7.12{\pm}0.03{\AA},\;{\alpha}=109.4{\pm}0.2,\;{\beta}=79.6{\pm}0.2,\;r=104.6{\pm}0.2^{\circ},\;Z=1$. The structure has been solved by the Patterson and Fourier methods. The refinement by block-diagonal least-squares cycles gives R = 0.13 for 387 observed reflexions collected on equi-inclination Weissenberg photographs with CuK${\alpha}$ radiation. There are two different types of five hydrogen bonds. The first type consists of one trifurcated N${\cdot}{\cdot}{\cdot}$O hydrogen bond and the second of two normal N${\cdot}{\cdot}{\cdot}$O hydrogen bonds, both of which exist between the amino group and the perchlorate, groups. A p-phenylenediamine group is approximately planar within an experimental error and bonded to twelve perchlorates: ten perchlorates forming hydrogen bonds and two being contacted with the van der Waals forces. A perchlorate group is surrounded by six p-phenylenediamines and four perchlorates; among the six p-phenylenediamines, five of them are hydrogen-bonded, and the rest contacted with the van der Waals force.ce anaysis of our samples and investigated the variarions in the values of parameters obtained through fitting the theoretical impedance to the experimental impedance. The characters of the dielectric constant and the impedance showed abnormal variations for the 0.2 at K-doped NSBN ceramics, which we were able to interpret in terms of the variations in the number A-site vacancies with the K doping ratio. From these results, A-site vacancies are thought to be space charges that influence the ferroelectric properties of NSBN ceramics.

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The Crystal Structure of Thiourea of Derivatives(I) (Thiourea Deirvatives의 결정과 분자구조 (제1보))

  • Park Young Ja;Suh Chung Sun;Koo, Chung Hoe
    • Journal of the Korean Chemical Society
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    • v.21 no.5
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    • pp.307-319
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    • 1977
  • The crystal structure of $N-({\alpha}-dimethyl\;{\beta}-hydroxy)ethyl\;N'-cyclohexyl\;thiourea,\;C_{ll}H_{22}N_2OS)$, has been determined by X-ray diffraction method. The compound crystallizes in the orthorhombic space group Pbca with a = 10.33(3), b = 11.82(3), c = 22.57(4)${\AA}$ and Z = 8. A total of 1414 observed reflections collected by the Weissenberg photographs and was solved by heavy atom method and refined by block diagonal least-squares methods to the R value of 0.13. The cyclohexane ring has a normal chair conformation and the thiourea unit is planar. The primary alcoholic group O-H bonded to C(l) makes an intramolecular hydrogen bond with N(2), which leads to stablize the molecule. There are two independent hydrogen bonds in the structure. One of them is of the type N-H${\cdot}{\cdot}{\cdot}$O intramolecular hydrogen bond with the length 2.71${\AA}$, another is of the type O-H${\cdot}{\cdot}{\cdot}$S intermolecular hydrogen bond with the length 3.21${\AA}$ parallel to the b axis. Apart from the hydrogen bonding system the molecules are held together by van der Waals forces in the crystal.

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The Crystal Structure of a Bromine Sorption Complex of Dehydrated Fully $Ca^{2+}$-Exchanged zeolite A (칼슘이온으로 완전히 치환한 제올라이트 A를 탈수한 후 브롬을 흡착한 결정구조)

  • Jang, Se-Bok;Han, Young-Wook;Moon, Sung-Doo;Kim, Yang
    • Journal of the Korean Chemical Society
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    • v.35 no.6
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    • pp.630-635
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    • 1991
  • The crystal structure of a bromine sorption complex of dehydrated fully $Ca^{2+}$-exchanged zeolite A (a = 12.211(2) ${\AA}$) has been determined by single-crystal X-ray diffraction techniques in the cubic space group, Pm3m at $21(1)^{\circ}C$. The crystal was prepared by dehydration at $360^{\circ}C$ and 2 ${\times}$ $10^{-6}$ Torr for 2 days, followed by exposure to about 180 Torr of bromine vapor at $24^{\circ}C$ for 30 min. In the resulting structure, six $Ca^{2+}$ ions are located on two different threefold axes associated with 6-ring oxygens. A total of six dibromine molecules are sorbed per unit cell. Each $Br_2$ molecule approaches a framework oxide ion axially, with O-Br = 3.12(7) ${\AA}$, Br-Br = 2.64(9) ${\AA}$ and O-Br-Br = $178(2)^{\circ}$, indicating a charge-transfer interaction. Full-matrix least-squares refinement converged to a conventional R index of 0.104 using the 103 independent reflections for which I > 3${\sigma}$ (I).

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Encounter of Lattice-type coding with Wiener's MMSE and Shannon's Information-Theoretic Capacity Limits in Quantity and Quality of Signal Transmission (신호 전송의 양과 질에서 위너의 MMSE와 샤논의 정보 이론적 정보량 극한 과 격자 코드 와의 만남)

  • Park, Daechul;Lee, Moon Ho
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.8
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    • pp.83-93
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    • 2013
  • By comparing Wiener's MMSE on stochastic signal transmission with Shannon's mutual information first proved by C.E. Shannon in terms of information theory, connections between two approaches were investigated. What Wiener wanted to see in signal transmission in noisy channel is to try to capture fundamental limits for signal quality in signal estimation. On the other hands, Shannon was interested in finding fundamental limits of signal quantity that maximize the uncertainty in mutual information using the entropy concept in noisy channel. First concern of this paper is to show that in deriving limits of Shannon's point to point fundamental channel capacity, Shannon's mutual information obtained by exploiting MMSE combiner and Wiener filter's MMSE are interelated by integro-differential equantion. Then, At the meeting point of Wiener's MMSE and Shannon's mutual information the upper bound of spectral efficiency and the lower bound of energy efficiency were computed. Choosing a proper lattice-type code of a mod-${\Lambda}$AWGN channel model and MMSE estimation of ${\alpha}$ confirmed to lead to the fundamental Shannon capacity limits.

A Curve-Fitting Channel Estimation Method for OFDM System in a Time-Varying Frequency-Selective Channel (시변 주파수 선택적 채널에서 OFDM시스템을 위한 Curve-Fitting 채널추정 방법)

  • Oh Seong-Keun;Nam Ki-Ho
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.43 no.3 s.345
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    • pp.49-58
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    • 2006
  • In this paper, a curve-fitting channel estimation method is proposed for orthogonal frequency division multiplexing (OFDM) system in a time-varying frequency-selective fading channel. The method can greatly improve channel state information (CSI) estimation accuracy by performing smoothing and interpolation through consecutive curve-fitting processes in both time domain and frequency domain. It first evaluates least-squares (LS) estimates using pilot symbols and then the estimates are approximated to a polynomial with proper degree in the LS error sense, starting from one preferred domain in which pilots we densely distributed. Smoothing, interpolation, and prediction are performed subsequently to obtain CSI estimates for data transmission. The channel estimation processes are completed by smoothing and interpolating CSI estimates in the other domain once again using the channel estimates obtained in one domain. The performance of proposed method is influenced heavily on the time variation and frequency selectivity of channel and pilot arrangement. Hence, a proper degree of polynomial and an optimum approximation interval according to various system and channel conditions are required for curve-fitting. From extensive simulation results in various channel environments, we see that the proposed method performs better than the conventional methods including the optimal Wiener filtering method, in terms of the mean square error (MSE) and bit error rate (BER).

Crystal Structure of a Methanol Sorption Complex of Dehydrated Partially Cobalt(Ⅱ)-Exchanged Zeolite A (부분적으로 Co(Ⅱ) 이온으로 치환한 제올라이트 A를 탈수한 후 메탄올을 흡착한 결정구조)

  • Jang, Se Bok;Han, Yeong Uk;Kim, Yang
    • Journal of the Korean Chemical Society
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    • v.38 no.5
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    • pp.339-344
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    • 1994
  • The crystal structure of a methanol sorption complex of dehydrated partially Co(II)-exchanged zeolite A, $Co_4Na_4-A{\cdot}6.5CH_3OH$ (a = 12.169(1) $\AA)$, has been determined by single-crystal X-ray diffraction techniques in the cubic space group Pm$\bar3$m at $21(1)^{\circ}C. $Co_4Na_4$-A was dehydrated at $360^{\circ}C\;and\;2{\times}10^{-6}$ torr for 2 days, followed by exposure to about 104 torr of methanol vapor at $22(1)^{\circ}C$ for 1 hr. The structure was refined to final error indices, $R_1$ = 0.061 and $R_2$ = 0.060 with 147 reflections, for which I > $3\sigma(I).$ In this structure, four $Co^{2+}$ ions and 1.5 $Na^+$ ions per unit cell lie at 6-ring positions: the $Na^+$ ions are recessed 0.44 $\AA$ into the sodalite unit and the Co(II) ions extend ca. 0.55 $\AA$ into the large cavity. 2.5 $Na^+$ ions lie in an 8-oxygen ring plane. The 6.5 methanol molecules are sorbed per unit cell. The 6.5 methanol oxygens, all in the large cavity, associate with the 4 $Co^{2+}$ ions and 2.5 $Na^+$ ions.

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