• Title/Summary/Keyword: extreme point

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On the Relationship between $\varepsilon$-sensitivity Analysis and Sensitivity Analysis using an Optimal Basis

  • Park, Chan-Kyoo;Kim, Woo-Je;Park, Soondal
    • Management Science and Financial Engineering
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    • v.10 no.2
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    • pp.103-118
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    • 2004
  • $\epsilon$-sensitivity analysis is a kind of methods for performing sensitivity analysis for linear programming. Its main advantage is that it can be directly applied for interior-point methods with a little computation. Although $\epsilon$-sensitivity analysis was proposed several years ago, there have been no studies on its relationship with other sensitivity analysis methods. In this paper, we discuss the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using an optimal basis. First. we present a property of $\epsilon$-sensitivity analysis, from which we derive a simplified formula for finding the characteristic region of $\epsilon$-sensitivity analysis. Next, using the simplified formula, we examine the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using optimal basis when an $\epsilon$-optimal solution is sufficiently close to an optimal extreme solution. We show that under primal nondegeneracy or dual non degeneracy of an optimal extreme solution, the characteristic region of $\epsilon$-sensitivity analysis converges to that of sensitivity analysis using an optimal basis. However, for the case of both primal and dual degeneracy, we present an example in which the characteristic region of $\epsilon$-sensitivity analysis is different from that of sensitivity analysis using an optimal basis.

Spatial Interpolation of Rainfall by Areal Reduction Factor (ARF) Analysis for Hancheon Watershed

  • Kar, Kanak Kanti;Yang, Sung Kee;Lee, Junho
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.427-427
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    • 2015
  • The storm water management and drainage relation are the key variable that plays a vital role on hydrological design and risk analysis. These require knowledge about spatial variability over a specified area. Generally, design rainfall values are expressed from the fixed point rainfall, which is depth at a specific location. Concurrently, determine the areal rainfall amount is also very important. Therefore, a spatial rainfall interpolation (point rainfall converting to areal rainfall) can be solved by areal reduction factor (ARF) estimation. In mainland of South Korea, for dam design and its operation, public safety, other surface water projects concerned about ARF for extreme hydrological events. In spite of the long term average rainfall (2,061 mm) and increasing extreme rainfall events, ARF estimation is also essential for Jeju Island's water control structures. To meet up this purpose, five fixed rainfall stations of automatic weather stations (AWS) near the "Hancheon Stream Watershed" area has been considered and more than 50 years of high quality rainfall data have been analyzed for estimating design rainfall. The relationship approach for the 24 hour design storm is assessed based on ARF. Furthermore, this presentation will provide an outline of ARF standards that can be used to assist the decision makers and water resources engineers for other streams of Jeju Island.

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Transformerless Three-Level DC-DC Buck Converter with a High Step-Down Conversion Ratio

  • Zhang, Yun;Sun, Xing-Tao;Wang, Yi-Feng;Shao, Hong-Jun
    • Journal of Power Electronics
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    • v.13 no.1
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    • pp.70-76
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    • 2013
  • For high power high step-down dc-dc conversion applications, conventional three-level dc-dc converters are subject to extreme duty cycles or increased volume and cost due to the use of transformers. In this paper, a transformerless three-level dc-dc buck converter with a high step-down conversion ratio is proposed. The converter comprises two asymmetrical half bridges, which are of the neutral point clamped structures. Therefore, the output pulse voltage of the converter can be obtained in terms of the voltage difference between the two half bridges. In order to realize harmonious switching of the converter, a modulation strategy with capacitor voltages self balance is presented. According to the deduced output dc voltage function, transformerless operation without extreme duty cycles can be implemented. Experimental results from a 1kW prototype verify the validity of the proposed converter. It is suitable for ship electric power distribution systems.

On the Critical Behavior of Phase Changes of a Forward-Scattered Light in a Nonpolar Binary Liquid Mixture

  • Kim, Kyoung-Ran;Kang, Young-Soo;Lee, Dong-J.
    • Bulletin of the Korean Chemical Society
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    • v.23 no.12
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    • pp.1749-1753
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    • 2002
  • The effect of concentration fluctuations on the changes of azimuth and ellipticity are analytically obtained in a binary chiral liquid mixture, when the incident light is completely linearly polarized above (or below) the horizontal at 45°. The important results are as follows;(1) When the binary liquid is in the critical region far from the cr5itical point, the ellipticity change is proportional to isothermal compressibility factor and the fifth order of frequency and shows the logarithmic divergence. (2) In the case that the system is in the critical region far from the critical point, the azimuth change is solely due to the molecular contribution. As the system approaches to the critical point, the effect of fluctuations becomes important. If it is in the extreme close to the critical point, the term due to the concentration fluctuations is comparable to or larger than the molecular contribution.

Estimating on the Erosion and Retreat Rates of Sea-cliff Slope Using the Datum-point in Pado-ri, the Western Coast of Korea (침식기준목을 이용한 파도리 해식애 사면의 침식·후퇴율 산정)

  • JANG, Dong-Ho;PARK, Ji-Hoon
    • Journal of The Geomorphological Association of Korea
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    • v.19 no.3
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    • pp.71-82
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    • 2012
  • This research was carried out to estimate annual erosion and retreat rates by using datum-point and to identify the characteristics and causes of seasonal variations of sea-cliff slope in Pado-ri, Taean-gun. In the result, the erosion and retreat rates of sea-cliff were increased from spring to summer. The rates were increased rapidly between August and October, caused by the effects of extreme weather events such as severe rainstorms and typhoons, etc. Since then, the erosion and retreat rates of sea-cliff were decreased gradually, but the rates were increased again in winter due to the storm surge and mechanical weathering resulting from the repeated freezing and thawing actions of bed rocks. The factors that affect erosion and retreat rates of sea-cliff include the number of days with antecedent participation and daily maximum wave height. In particular, it turned out that the erosion is accelerated by strong wave energy during storm surges and typhoons. The annual erosion and retreat rates of study area for the past two years(from May 2010 to May 2012) were approximately 44~60cm/yr in condition of differences in geomorphological and geological characteristics at each point. These erosion and retreat rates were found to be higher than results of previous researches. This is caused by coastal erosion forces strengthened by extreme weather events. The erosion and retreat process of sea-cliff in the study area is composed by denudation of onshore areas in addition to marine erosion(wave energy).

A Study on the Incroyables and Merveilleuses Costume after the French Revolution (프랑스혁명 이후의 Incroyables와 Merveilleuses 복식에 대한 연구)

  • 이유경
    • The Research Journal of the Costume Culture
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    • v.12 no.3
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    • pp.429-440
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    • 2004
  • The age after the French Revolution was the period of experiment and change in dress for both men and women. Directly after the close of the Reign of Terror, Directoire(1795-1799) became the extreme fashion known as incroyables and merveilleuses which mean 'impossible' or 'unimaginable'. This study aimed to investigate the sociocultural phenomena which affect to clothing change through the French Revolution period and clothing analysis of incroyables and merveillues. Furthermore, this study will contribute to establishing the theory of clothing culture and help predicting clothing change in accordance with social circumstances. Incroyables and merveilleuses represent extreme opposites in sleekness of attire and grooming. Incroyables required an unkempt, wrinkled appearance and a contrived carelessness. Merveilleuseses show the exaggerated transparency and simplicity in the fashions of female. Also, they devoted to the worship of the antique and the masculine fashions. This fashion madness appeared as the result of revolutionary social change. Their costume showed characteristics of the transition period between French Revolution and Classic period. However, they simply carried existing tendencies to the point of caricature by an enthusiastic overstatement.

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Convex hulls and extreme points of families of symmetric univalent functions

  • Hwang, J.S.
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.1-16
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    • 1996
  • Earlier in 1935[12], M. S. Robertson introduced the class of quadrant preserving functions. More precisely, let Q be the class of all functions f(z) analytic in the unit disk $D = {z : $\mid$z$\mid$ < 1}$ such that f(0) = 0, f'(0) = 1, and the range f(z) is in the j-th quadrant whenever z is in the j-th quadrant of D, j = 1,2,3,4. This class Q contains the subclass of normalized, odd univalent functions which have real coefficients. On the other hand, this class Q is contained in the class T of odd typically real functions which was introduced by W. Rogosinski [13]. Clearly, if $f \in Q$, then f(z) is real when z is real and therefore the coefficients of f are all real. Recently, it was observed by Y. Abu-Muhanna and T. H. MacGregor [1] that any function $f \in Q$ is odd. Instead of functions "preserving quadrants", the authors [1] have introduced the notion of "preserving sectors".

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Effects of Variable Guide Vane Setting Angle on the Performance of Multi-Stage Axial Compressor (가변안내깃 설치각이 다단 축류압축기 성능에 미치는 영향)

  • Park, JunYoung;Seo, JeongMin;Lim, HyungSoo;Choi, Bumseok;Choi, Taewoo;Choi, Jaeho
    • Journal of the Korean Society of Propulsion Engineers
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    • v.20 no.5
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    • pp.9-18
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    • 2016
  • Generally the variable guide vane is used to secure the sufficient operating point in the off-design condition. In this study the inlet guide vane, 1st and 2nd stators in a multi-stage axial compressor are movable to obtain the operating range. So the effects of variable guide vane setting angle on the performance of 2.5 stage axial compressor were investigated at 70 % and 90 % conditions of nominal rotating speed in this paper. The steady-state and unsteady numerical analyses were conducted at each operating condition. The performance map, lost efficiency and flow fields were compared.

Future drought assessment in the Nakdong basin in Korea under climate change impacts

  • Kim, Gwang-Seob;Quan, Ngo Van
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.458-458
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    • 2012
  • Climate extreme variability is a major cause of disaster such as flood and drought types occurred in Korea and its effects is also more severe damage in last decades which can be danger mature events in the future. The main aim of this study was to assess the effectives of climate change on drought for an agriculture as Nakdong basin in Korea using climate change data in the future from data of General Circulation Models (GCM) of ECHO-G, with the developing countries like Korea, the developed climate scenario of medium-high greenhouse gas emission was proposed of the SRES A2. The Standardized Precipitation Index (SPI) was applied for drought evaluation. The drought index (SPI) applied for sites in catchment and it is evaluated accordingly by current and future precipitation data, specific as determined for data from nine precipitation stations with data covering the period 1980-2009 for current and three periods 2010-2039, 2040-2069 and 2070-2099 for future; time scales of 3month were used for evaluating. The results determined drought duration, magnitude and spatial extent. The drought in catchment act intensively occurred in March, April, May and November and months of drought extreme often appeared annual in May and November; drought frequent is a non-uniform cyclic pattern in an irregular repetitive manner, but results showed drought intensity increasing in future periods. The results indicated also spatial point of view, the SPI analysis showed two of drought extents; local drought acting on one or more one of sites and entire drought as cover all of site in catchment. In addition, the meteorology drought simulation maps of spatial drought representation were carried out with GIS software to generate for some drought extreme years in study area. The method applied in this study are expected to be appropriately applicable to the evaluation of the effects of extreme hydrologic events, the results also provide useful for the drought warning and sustainable water resources management strategies and policy in agriculture basins.

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A Study on the Material Characteristics of the HSA800 Steel and Homogeneity of Strength (HSA800 강재의 소재특성 및 강도의 균질성에 관한 연구)

  • Kim, Jong Rak;Lee, Eun Taik;Choi, Young Han;Kim, Sang Seup
    • Journal of Korean Society of Steel Construction
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    • v.28 no.3
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    • pp.173-183
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    • 2016
  • Various material characteristics of HSA800 steel were examined and a quantitative criteria about the homogeneity of the strength was proposed. Whether HSA800 steel is satisfied the criteria for homogeneity of the strength or not was also examined. From the test results, the material characteristics of 1/4 point from the extreme fiber in the Z-direction satisfied the KS requirements. The excellent directional properties and impact resistance at low temperatures were also showed from the test results. HSA800 steel satisfied the criteria of homogeneity for the strength of the steel. However, it showed that some structures were banded together at 2/4 point from extreme fiber in the Z-direction from the microscopic tests and attention is needed to be paid in that point.