• Title/Summary/Keyword: extrema

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A golusin semi-variation

  • David Oates;Lee, Suk-Young
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.643-652
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    • 1995
  • We use a semi-variational method to obtain necessary condition for a linear functional L to attain its extrema at certain elementary products. This is applied to obtain an answer to the long-standing question of determining explicit extreme points of the normalised Spirallike functions of order $\alpha$.

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The Effects of Pressure, Temperature and Solvent Composition on Solvolysis of trans-[Co(N-eten)$_2Cl_2]^+$ in Water-t-butyl Alcohol Mixture

  • Park Yu Chul;Cho Young Je
    • Bulletin of the Korean Chemical Society
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    • v.9 no.1
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    • pp.1-4
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    • 1988
  • Rates of solvolysis of trans-[Co$(N-eten)_2Cl_2$]$^+$ have been investigated using spectrophotometric method at various pressures and temperatures in the mixtures of water with the t-butyl alcohol which possesses a high structure inducing capacity in water. The values of ${\Delta}V^{\neq}$ obtained from pressure effect on the rate constants were 2.55∼ 5.83 $cm^3mol^{-1}$. These values were discussed in terms of dissociative mechanism. Extrema found in the variation of ${\Delta}H^{\neq}$ and ${\Delta}S^{\neq}$ with solvent composition correlated with extrema in the variation of the physical properties of the mixtures. The logarithms of rate constants correlated linearly with both Grunwald-Winstein parameter and the reciprocal of dielectric constant ($Ds^{-1}$). The gradient, m of Grunwald-Winstein plot for the trans-[Co$(N-eten)_2Cl_2$]$^+$ was 0.09, which is significantly lower than those for the other cobalt (Ⅲ)-dichloro complexes. It was suggested that the reaction is an Id mechanism with long extension of Co-Cl bond in the transition state, as found for the C-Cl bond in the transition state for the solvolysis of t-butyl chloride.

Initial State and Transition State Solvation for the Solvolysis of trans-$[Co(N-eten)_2Cl_2]$+ in Binary Aqueous Mixtures: Excess Free Energy, Free Energy Cycle and Reacton Mechanism

  • Park, Yu-Chul;Cho, Young-Je
    • Bulletin of the Korean Chemical Society
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    • v.11 no.4
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    • pp.309-313
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    • 1990
  • The rates of solvolysis of trans-$[Co(N-eten)_2Cl_2)$+ (N-eten; N-ethylethylenediamine) have been investigated using spectrophotometric method in binary aqueous mixtures containing methyl alcohol, isopropyl alcohol, t-butyl alcohol, ethylene glycol and glycerol. The values of ${\Delta}H^{\neq}$ and ${\Delta}S^{\neq}$ obtained from temperature effect on the rate constants were $80{\sim}84 kJmol^{-1}$ and $- 28{\sim} - 45 JK^{-1}mol^{-1}.$ Extrema found in the variation of the enthalpy and entropy of activation with solvent composition correlated very well with extrema in the variation of the physical properties of mixture which relate to sharp change in the solvent structure. The reaction mechanism was discussed in terms of correlation diagrams involving the exess molar Gibbs function of mixing for the binary mixtures. The behavior of this cobalt(Ⅲ) complex was compared with that of t-butyl chloride. The application of free energy cycle to the process initial state to transition state in water and in the mixture showed that the solvation of transition state had dominant effect on the rates in the mixtures. It was found that $S_N1$ character was increased with increasing the content of co-solvent in the mixture.

Recognition of Profile Contours of Human Face by Approximation - Approximation -

  • Yang, Yun-Mo
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.679-682
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    • 1988
  • From the viewpoint of general recognition system, B-spline is introduced for the approximation and recognition of human profile contours. Profile contour is approximated to the cublic B-spline curve by least square fitting so that B-Spline nodes nearly correspond with the curvature extrema of the contour. This method is designed for the spline to be good features in recognition, and also showed good approximation compared with the variants of B-spline appraximation.

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Audio Watermarking Using Empirical Mode Decomposition (경험적 모드 분해법을 이용한 오디오 워터마킹)

  • Nguyen, Phuong;Kim, Jong-Myon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2014.01a
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    • pp.89-92
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    • 2014
  • This paper presents a secure and blind adaptive audio watermarking algorithm based on Empirical Mode Decomposition (EMD). The audio signal is divided into frames and each one is decomposed adaptively, by EMD, into several Intrinsic Mode Functions (IMFs). The watermark and the synchronization codes are then embedded into the extrema of the last IMF. The experimental results show that the proposed method has good imperceptibility and robustness against signal processing attacks.

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Period changes in the Intermediate Polar MU Camelopardalis

  • Park, Jiwon;Yoon, Jho-Na;Kim, Yonggi;Andronov, I.L.
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.89.1-89.1
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    • 2015
  • Period changes found in the 10 years CCD BVR photometry data (2005 - 2014) of the Intermediate Polar MU Cam will be discussed. The timings of extrema of the data are determined and the new ephemeris for the spin period and orbital period have been calculated by using multi-periodic approximation as follows: BJD(orb)=2454085.46(19)+0.19664 $10(26){\cdot}E$ and BJD(spin)=2454085.50725(91)+0.013740942(13) ${\cdot}$ $E-1.51(10){\times}10^{-12}{\cdot}E^2$. The O-C diagram shows an increasing of the spin period as $P=-2.20(14){\cdot}10^{-12}s/s$. It is also found in MU Cam that the white dwarf's rotation seems to be switched from a state of spin-down to spin-up by the white dwarf's equilibrium spin period in 2005.

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High Speed OpenMP Method in SIFT Algorithm for VR Image Stitching (VR 영상 스티칭을 위한 SIFT 알고리즘에서의 OpenMP 고속화 방법)

  • Lee, Yong-Seok;Kang, I-Seul;Seo, Young-Ho;Kim, Dong-Wook
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2016.06a
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    • pp.349-351
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    • 2016
  • 본 논문에서는 VR 영상의 스티칭을 위한 특징점 추출 방식의 하나인 SIFT 알고리즘의 고속화 방법을 제안한다. 이 방법은 SIFT 의 각 단계 모두에 최적화 방법을 적용하여 CPU 에 최적화된 알고리즘을 구축하였다. 그리고 비독립적인 과정들로 이루어진 SIFT 특징점 추출 연산을 병렬화하기 위한 방법으로, 영상 분할 방법을 제시하며 SIFT 의 새로운 병렬화 방법을 제안한다. 특히 최적화 과정을 통해 Scale-space Extrema Detection 과 Orientation Assignment 과정에서 큰 시간 단축 효과를 보여 총 75.5%의 시간을 단축하였다. 이를 OpenMP 와 영상 분할 방법을 활용한 CPU 병렬화로 FullHD($1920{\times}1080$)해상도 영상에서 약 4000 개의 특징점을 추출하는 데 평균 91ms 의 성능을 보이며 기존 GPU 고속화 논문 대비 약 30%의 성능 개선 효과를 보였다.

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Period study of 1RXS J062518.2+733433 from the X-ray and optical data

  • Yun, A-Mi;Kim, Youg-Gi;Choi, Chul-Sung
    • Bulletin of the Korean Space Science Society
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    • 2008.10a
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    • pp.29.3-29.3
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    • 2008
  • 1RXS J062518.2+733433. The X-ray data was obtained in April 6, 2006 with the XMM-Newton and the optical data with CCD R filter at the 1m telescope of the Lemonsan observatory in 2005-2006 for 11 nights. This source is classified as a magnetic cataclysmic variable with a spin period of 1187.3 s in the optical region. We determine the spin period to be $1187.26\pm0.11$ s using the X-ray data, which is well consistent with the optical studies. However, we find that the pulse profile of the data (0.2-10 keV) folded at the period is different from the quasi-sinusoidal optical profile and is dependent on the selected X-ray energy bands. The results of period searching with times of extrema will be also presented.

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THE RELATIVE IMPORTANCE OF NON-NEWTONIAN CHARACTERISTICS OF BLOOD IN THE HEMODYNAMICS OF THE CAROTID BIFURCATION (경동맥 혈류유동에서의 혈액의 비뉴우토니안 특성의 상대적 중요성 해석)

  • Lee, S.W.;Steinman, D.A.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.181-185
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    • 2008
  • In this study, we attempted to quantify the relative importance of assumptions regarding blood rheology. Three patient-specific carotid bifurcation geometries and time-varying flow rates were obtained using magnetic resonance imaging. For each subject, CFD simulations were carried out assuming two different non-Newtonian rheology models Carreau and Ballyk models) and rescaled Newtonian viscosities based on characteristic shear rates to account for the shear-thinning property of blood. The sensitivity of WSS and oscillatory shear index (OSI) were contextualized with respect to the reproducibility of the reconstructed geometry and to assumptions regarding the inlet boundary conditions. We conclude that the assumption of Newtonian fluid is reasonable for studies aimed at quantifying the distribution of WSS-based extrema in an image-based CFD model of carotid bifurcation.

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