• Title/Summary/Keyword: Lower bound

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Studies on the Lipid Components of Various Ginsengs ll. Lipid and Fatty Acid Compositions of the Bound Lipids (각국 인삼의 지방질성분에 관한 연구 제2보, 결합 지방질중의 지방질 및 지방산 조성)

  • Choe, Gang-Ju;Kim, Man-Uk;Kim, Dong-Hun
    • Journal of Ginseng Research
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    • v.9 no.2
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    • pp.204-212
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    • 1985
  • Lipid and fatty acid compositions of the bound lipids in Panax quinquefolium (Korea, Japan and China), Panax quinquefolium (America, Canada) and Panax notoginseng (China) were studied by means of silicic acid column chromatography, thin-layer chromatography and gas-liquid chromatography. The could lipid contents in various ginsengs were 0.29 to 0.48%, in which neutral lipid fractions were 63.6 to 67.3%, glycolipid fractions 21.9 to 25.7% and phospholipid fractions 7.7 to 12.4%. The content compositions of neutral lipid fractions were lower and those of glycolipid and phospholipid fractions were higher in the bound lipids than in the free lipids from the various ginseng. The major components were fatty acids, diglycerides and free sterols in neutral lipid fractions, monogalactosyl diglyceride, sterol glucoside and esterified steryl g1ycoside in glycolipid fractions and phosphatidyl glycerol, phosphatidyl ethanolamine and phosphatidic acid in phosphoipid fractions. Seventeen fatty acids were analyzed in the four bound lipid fractions from the various ginsengs and main fatty acids were linoleic acid, palmitic acid and oleic acid. Total saturated fatty acid and palmitic acid contents were higher and total unsaturated fatty acid and linoleic acid contents lower in the total bound lipids than in the total free lipids from the various ginsengs.

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Age-associated Alteration in the Hapatic Superoxide Generation and Antioxidant Activities in the Senescence-accelerated Mice (노화촉진 생쥐에서 노화에 따른 활성산소 생성 및 항산화능의 변화)

  • Chung, Hae-Young;Kim, Yun-Kyung
    • YAKHAK HOEJI
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    • v.36 no.5
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    • pp.460-468
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    • 1992
  • Several bichemical parameters related to free radicals were estimated in senile-prone (P) and resistant(R) strains of male senescence-accelerated mice(SAM) at 2, 5 and 11 months of age. The superoxide generation was increased with age in SAM-R/1 and SAM-P/2. Compared to SAM-R/1, more generation of superoxide was significantly noted in the SAM-P/2 liver. The activities of Cu/Zn-superoxide dismutase and catalase were decreased during aging and these activities in SAM-P/2 were significantly lower than in SAM-R/l liver. The activities of glutathione S-transferase were varied with aging, whereas SAM-P/2 showed lower levels compared to SAM-R/l. The gradual decreases of glutathione, protein bound-SH and nonprotein bound-SH contents were noted with increasing age. SAM-P/2 liver contained lesser amounts of glutathione and nonprotein bound-SH compared to SAM-R. In conclusion, superoxide generation was increased whereas the antioxidant enzyme activities were decreased during aging in SAM-R/1. In addition, SAM-P/2 strain showed more superoxide generation and less antioxidant enzyme activities than SAM-R/1 in the liver, thus we assume that these factors might accelerate the senescence of SAM-P/2 strain.

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An alternative approach to extreme value analysis for design purposes

  • Bardsley, Earl
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.201-201
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    • 2016
  • The asymptotic extreme value distributions of maxima are a natural choice when designing against future extreme events like flood peaks or wave heights, given a stationary time series. The generalized extreme value distribution (GEV) is often utilised in this context because it is seen as a convenient single expression for extreme event analysis. However, the GEV has a drawback because the location of the distribution bound relative to the data is a discontinuous function of the GEV shape parameter. That is, for annual maxima approximated by the Gumbel distribution, the data is also consistent with a GEV distribution with an upper bound (no lower bound) or a GEV distribution with a lower bound (no upper bound). A more consistent single extreme value expression for design purposes is proposed as the Weibull distribution of smallest extremes, as applied to transformed annual maxima. The Weibull distribution limit holds here for sufficiently large sample sizes, irrespective of the extreme value domain of attraction applicable to the untransformed maxima. The Gumbel, Type 2, and Type 3 extreme value distributions thus become redundant, together with the GEV, because in reality there is only a single asymptotic extreme value distribution required for design purposes - the Weibull distribution of minima as applied to transformed maxima. An illustrative synthetic example is given showing transformed maxima from the normal distribution approaching the Weibull limit much faster than the untransformed sample maxima approach the normal distribution Gumbel limit. Some New Zealand examples are given with the Weibull distribution being applied to reciprocal transformations of annual flood maxima, where the untransformed maxima follow apparently different extreme value distributions.

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Identification of hard bound on model uncertainty in frequency domain

  • Kawata, M.;Sano, A.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.372-377
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    • 1993
  • In this paper, we investigate a set-membership identification approach to the quantification of an upper bound of model uncertainty in frequency domain, which is required in the H$_{\infty}$ robust control system design. First we formulate this problem as a set-membership identification of a nominal model error in the presence f unknown noise input with unknown bound, while the ordinary set-membership approaches assume that an upper bound of the uncertain input is known. For this purpose, the proposed algorithm includes the estimation of the bound of the uncertain input. thus the proposed method can obtain the hard bound of the model error in frequency domain as well as a parametric lower-order nominal model. Finally numerical simulation results are shown to confirm the validity of the presented algorithm..

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Branch and Bound Algorithm for Two-Machine Reentrant Flowshop with the Objective of Minimizing Total Flowtime (재투입이 존재하는 2단계 흐름공정에서 총 작업 흐름시간을 최소화하는 분지한계방법)

  • Choi, Seong-Woo;Shim, Sang-Oh
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.4
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    • pp.1-9
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    • 2010
  • In this paper, we consider a two-machine re-entrant permutation flowshop scheduling problem with the objective of minimizing total flowtime, and suggest branch and bound algorithms for the scheduling problem. In this scheduling problem, each job must be processed twice on each machine, that is, each job should be processed on the two machines in the order of machine 1, machine 2 and then machine 1 and machine 2. In this research, based on the results of existing researches for re-entrant permutation flowshop scheduling problems, various dominance properties, lower bound and heuristic algorithm are suggested for the problem, and those are used to develop branch and bound algorithms. In the computational experiments for evaluation of the performance of the algorithms, the suggested branch and bound algorithms are tested on randomly generated test problems and results are reported.

VOLUME PRODUCT FOR PEDAL BODIES

  • Chai, Y.D.;Kim, Yong-Il;Lee, Doo-Hann
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.735-740
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    • 2001
  • Let K be a convex body of constant relative breadth and let $K^*$ be its polar dual with respect to the Euclidean unit circle. In this paper we obtain the lower bound for the volume of the pedal body $PK^*P $K^{*}$ of K^*.$ Using this, we also obtain the lower bound for the volume product V$(PK^*)$V(PK) for planar bodies.s.

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LOWER BOUND OF LENGTH OF TRIANGLE INSCRIBED IN A CIRCLE ON NON-EUCLIDEAN SPACES

  • Chai, Y.D.;Lee, Young-Soo
    • Honam Mathematical Journal
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    • v.34 no.1
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    • pp.103-111
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    • 2012
  • Wetzel[5] proved if ${\Gamma}$ is a closed curve of length L in $E^n$, then ${\Gamma}$ lies in some ball of radius [L/4]. In this paper, we generalize Wetzel's result to the non-Euclidean plane with much stronger version. That is to develop a lower bound of length of a triangle inscribed in a circle in non-Euclidean plane in terms of a chord of the circle.

MIXED VOLUMES OF A CONVEX BODY AND ITS POLAR DUAL

  • Chai, Y. D.;Lee, Young-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.771-778
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    • 1999
  • In this paper, we obtain some geometric inequalities for mixed volumes of a convex body and its polar dual. We also develop a lower bound of the product of quermassintegral of a convex body and its polar dual and give a lower bound for the product of the dual quermassintegral of any index of centrally symmetric convex body and that of its polar dual.

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ESTIMATION OF THE NUMBER OF ROOTS ON THE COMPLEMENT

  • Yang Ki-Yeol
    • The Pure and Applied Mathematics
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    • v.13 no.1 s.31
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    • pp.11-18
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    • 2006
  • Let f : (X, A) ${\rightarrow}$ (Y, B) be a map of pairs of compact polyhedra. A surplus Nielsen root number $SN(f;X\;{\backslash}\;A,\;c)$ is defined which is lower bound for the number of roots on X \ A for all maps in the homotopy class of f. It is shown that for many pairs this lower bound is the best possible one, as $SN(f;X\;{\backslash}\;A,\;c)$ can be realized without by-passing condition.

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