• Title/Summary/Keyword: Doubling

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MULTICOMPLEXES, BOUNDED COHOMOLOGY AND ADDITIVITY OF SIMPLICIAL VOLUME

  • KUESSNER, THILO
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1855-1899
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    • 2015
  • We discuss some additivity properties of the simplicial volume for manifolds with boundary: we give proofs of additivity for glueing amenable boundary components and of superadditivity for glueing amenable submanifolds of the boundary, and we discuss doubling of 3-manifolds.

Medium Concentration Influencing Growth of the Entomopathogenic Nematode Heterorhabditis bacteriophora and its Symbiotic Bacterium Photorhabdus luminescens

  • Yoo, Sun-Kyun;Brown, Ian;Cohen, Nancy;Gaugler, Randy
    • Journal of Microbiology and Biotechnology
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    • v.11 no.4
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    • pp.644-648
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    • 2001
  • The biological control potential of entomopathogenic nematodes (EPN) can be enhanced by improved culture efficiency. Optimization of the media is a key factor for improving in vitro mass production of entomopathogenic nematodes. This study reports the effect of medium concentration. The medium is a combination of carbohydrates, lipids, proteins, sats, and growth factors, on the growth of Heterorhabditis bacteriophora and its symbiotic bacterium Photorhabdus liminescens. The overall optimal medium concentration for nematode recovery, hermaphrodite size, bacterial mass, infective juveniles (IJs) yield, and doubling time was 84 g/l. At this concentration rate, the doubling time of IJs production and the biomass of symbiotic bacteria was 1.6 days and 12.8 g/l, respectively. The maximum yield of $2.4{\times}{10^5}IJs/ml$ was attained within a one-generation cycle (eight days). The yield coefficient was $2.8{\times}{10^6}$ IJs/g medium, and the maximum productivity was $3.1{\times}{10^7}$ IJs per day. Medium concentration affected two independent factors, recovery and hermaphrodite size, which in turn influenced the final yield.

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The chaotic motion analysis by hardware implementation of Bonhoeffer Van der Pol oscillation model (Bonhoeffer Van der Pol 오실레이터 모델의 하드웨어 구현에 의한 카오스 운동 해석)

  • Bae, Yeong-Cheol;Seo, Sam-Mun;Im, Hwa-Yeong
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.4
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    • pp.877-882
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    • 1996
  • The effects of periodic and chaotic behaviour in the Bonhoeffer-Van der Pol (BVP) oscillation of the nerve membrane driven by a periodic stimulating current A1 coswtare investigated through hardware implementation.For hardware implementation of the BVP model. real element values were escaled with computer simulation results to determine the parameter real value.As the parameter A1 varied in the range 0 to 1.3, the BVP model showed an ordinary and reversed period-doubling cascade and a chaotic state. At the low driving amplitude ofa1 the period-doubling showed and at the high driving amplitude of A1 the chaotic state occured. To analyse the BVP model for chaotic behaviour Phase Plane, Time series are used to verify that properties.

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Dynamics and instability of the Karman wake mode induced by periodic forcing

  • Mureithi, Njuki W.
    • Wind and Structures
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    • v.7 no.4
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    • pp.265-280
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    • 2004
  • This paper presents some fundamental results on the dynamics of the periodic Karman wake behind a circular cylinder. The wake is treated like a dynamical system. External forcing is then introduced and its effect investigated. The main result obtained is the following. Perturbation of the wake, by controlled cylinder oscillations in the flow direction at a frequency equal to the Karman vortex shedding frequency, leads to instability of the Karman vortex structure. The resulting wake structure oscillates at half the original Karman vortex shedding frequency. For higher frequency excitation the primary pattern involves symmetry breaking of the initially shed symmetric vortex pairs. The Karman shedding phenomenon can be modeled by a nonlinear oscillator. The symmetrical flow perturbations resulting from the periodic cylinder excitation can also be similarly represented by a nonlinear oscillator. The oscillators represent two flow modes. By considering these two nonlinear oscillators, one having inline shedding symmetry and the other having the Karman wake spatio-temporal symmetry, the possible symmetries of subsequent flow perturbations resulting from the modal interaction are determined. A theoretical analysis based on symmetry (group) theory is presented. The analysis confirms the occurrence of a period-doubling instability, which is responsible for the frequency halving phenomenon observed in the experiments. Finally it is remarked that the present findings have important implications for vortex shedding control. Perturbations in the inflow direction introduce 'control' of the Karman wake by inducing a bifurcation which forces the transfer of energy to a lower frequency which is far from the original Karman frequency.

ON POSITIVE DEFINITE SOLUTIONS OF A CLASS OF NONLINEAR MATRIX EQUATION

  • Fang, Liang;Liu, San-Yang;Yin, Xiao-Yan
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.431-448
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    • 2018
  • This paper is concerned with the positive definite solutions of the nonlinear matrix equation $X-A^*{\bar{X}}^{-1}A=Q$, where A, Q are given complex matrices with Q positive definite. We show that such a matrix equation always has a unique positive definite solution and if A is nonsingular, it also has a unique negative definite solution. Moreover, based on Sherman-Morrison-Woodbury formula, we derive elegant relationships between solutions of $X-A^*{\bar{X}}^{-1}A=I$ and the well-studied standard nonlinear matrix equation $Y+B^*Y^{-1}B=Q$, where B, Q are uniquely determined by A. Then several effective numerical algorithms for the unique positive definite solution of $X-A^*{\bar{X}}^{-1}A=Q$ with linear or quadratic convergence rate such as inverse-free fixed-point iteration, structure-preserving doubling algorithm, Newton algorithm are proposed. Numerical examples are presented to illustrate the effectiveness of all the theoretical results and the behavior of the considered algorithms.

CAN WE MEASURE A REMOTE SENSING SCIENCE? BIBLIOMETRIC ANALYSIS OF THE LITERATURE, 1975-2005

  • Nabiullin, Ahat A.;Shoom, Mariya Yu.
    • Proceedings of the KSRS Conference
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    • v.1
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    • pp.340-343
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    • 2006
  • Remote sensing science is a rapidly growing field of Earth sciences. Since emergence and to present day, an extensive literature has evolved which traces the wide application of remote sensing in human activities. According to the ISI Web of Science in the 1975-2005 time span more then 20,000 papers were published on remote sensing. The number of papers grew exponentially with doubling period of about 6 years. Notwithstanding all specialized proceedings, there is a lot more remote sensing papers published in a vast list of source titles (up to 350 proceedings). Only 25% of retrieved papers are published in 10 proceedings which ISI assigns to subject category of remote sensing. In 2005 all these proceedings published 1291 articles and received cca 24,000 citations. Average impact factor of the proceedings is equal to 1.181 and average cited half-life is 7.1. It means that an average paper in remote sensing proceedings is cited more then once per year and half of citations the paper receive within the next 7 years after publication. The time line of remote sensing periodicals issued in 1927-1995 shows an exponential growth with doubling period about 15 years. After 1995 there is a prominent deviation from the exponential curve which shows the demand saturation for specialized proceedings. The features revealed are discussed in terms of dynamics and impact of remote sensing in current Earth sciences development.

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Standardizing and Visualizing Descriptive Summaries of Election Survey Data (선거 여론조사 자료의 표준적 요약과 시각화)

  • Huh, Myung-Hoe;Lee, Yong-Goo
    • The Korean Journal of Applied Statistics
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    • v.21 no.5
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    • pp.845-854
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    • 2008
  • Survey reports of election opinions consist of numerous cross-tabulations between socio-demographic variables and political opinions including preferred candidates. Since socio-demographic variables are related each other, duplicate interpretations arise. The aim of this study is twofold: The first is to separate the effects of socio variables such as education, occupation and income from the effects of demographic variables such as region, sex and age. The second is the visualization of multiple cross-tabulations in low-dimensional space by extended doubling technique of correspondence analysis. Survey researchers may get some help from this study to present their survey results more lucidly and visually.

Precipitation Change in Korea due to Atmospheric $CO_2$ Increase (대기중 $CO_2$ 증가에 따른 한반도 강수량 변화)

  • 오재호;홍성길
    • Water for future
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    • v.28 no.3
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    • pp.143-157
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    • 1995
  • A precipitation change in Korea due to atmospheric $CO_2$ doubling has been estimated with a mixed method(Robinson and Finkelstein, 1991) to represent regional precipitation distribution from the simulated precipitation data by three GCM(general circulation model) (CCC, UI, and GFDL GCM) experiments. As a result of this analysis, the precipitation change by atmospheric $CO_2$ doubling can be summarized as follows: The precipitation increases as much as 25mm/yr during spring season and more than 50mm/yr during summer and autumn. However, it decreases as much as 13mm/yr during winter. In terms of percentage with respect to current precipitation climatology, we may have more rain as much as 10%, 13% and 24%, respectively, for spring, summer and autumn than current precipitation. However, we may have less winter precipitation than current climatological average.

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