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Column response curves of nonlinear chromatography for equilibrium isotherms with inflection points

西北大学学报(自然科学版) 1999年第2期29卷 27-32页

作者： Yu Qiming (School of Environmental Engineering,Griffith University,Nathan Campus, Brisbane, Queensland 4111,Australia) Griffith University 澳大利亚

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关键词： nonlinear chromatography equilibrium isotherms inflection points column response carve

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Global variations in critical drought thresholds that impact vegetation

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National Science Review 2023年第5期10卷 180-193页

作者： Xiangyi Li Shilong Piao Chris Huntingford Josep Pe?uelas Hui Yang Hao Xu Anping Chen Pierre Friedlingstein Trevor F.Keenan Stephen Sitch Xuhui Wang Jakob Zscheischler Miguel D.Mahecha Laboratoire de Météorologie Dynamique Institut Pierre-Simon LaplaceCNRS-ENS-UPMC-XDépartement de GeósciencesEcole Normale Superieure Earth and Environmental Sciences Area Lawrence Berkeley National Laboratory Department of Environmental Science Policy&ManagementUniversity of California Berkeley Department of Geography College of Life and Environmental SciencesUniversity of Exeter Department of Computational Hydrosystems Helmholtz Centre for Environmental Research—Ufz Remote Sensing Centre for Earth System Research Leipzig University Sino-French Institute for Earth System Science College of Urban and Environmental SciencesPeking University Key Laboratory of Alpine Ecology and Biodiversity Institute of Tibetan Plateau ResearchCenter for Excellence in Tibetan Earth ScienceChinese Academy of Sciences UK Centre for Ecology and Hydrology CSIC Global Ecology Unit CREAF-CSIC-UAB CREAF Cerdanyola de Vallès Department of Biogeochemical Integration Max Planck Institute for Biogeochemistry Department of Biology Colorado State University Graduate Degree Program in Ecology Colorado State University Department of Mathematics College of Engineering Mathematics and Physical SciencesUniversity of Exeter

Identifying the thresholds of drought that,if crossed,suppress vegetation functioning is vital for accurate quantification of how land ecosystems respond to climate variability and change.We present a globally applicable framework to identify drought thresholds for vegetation responses to different levels of known soil-moisture deficits using four remotely sensed vegetation proxies spanning 2001-2018.The thresholds identified represent critical inflection points for changing vegetation responses from highly resistant to highly vulnerable in response to drought stress,and as a warning signal for substantial vegetation impacts.Drought thresholds varied geographically,with much lower percentiles of soil-moisture anomalies in vegetated areas covered by more forests,corresponding to a comparably stronger capacity to mitigate soil water deficit stress in forested ecosystems.Generally,those lower thresholds are detected in more humid climates.State-of-the-art land models,however,overestimated thresholds of soil moisture(i.***.overestimating drought impacts),especially in more humid areas with higher forest covers and arid areas with few forest covers.Based on climate model projections,we predict that the risk of vegetation damage will increase by the end of the twenty-first century in some hotspots like East Asia,Europe,Amazon,southern Australia and eastern and southern Africa.Our data-based results will inform projections on future drought impacts on terrestrial ecosystems and provide an effective tool for drought management.

关键词： drought threshold inflection points vegetation response soil moisture drought impacts

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Planar cubic hybrid hyperbolic polynomial curve and its shape classification

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Progress in Natural Science:Materials International 2004年第1期14卷 42-47页

作者： WANG Guozhao 1,2 * and YANG Qinmin 1,2 (1. Institute of Computer Graphics and Image Processing, 2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China) Zhejiang Univ Inst Comp Graph & Image Proc Hangzhou 310027 Peoples R China Zhejiang Univ Dept Math Hangzhou 310027 Peoples R China

The planar cubic hybrid hyperbolic polynomial curves and cubic H Bézier curves are presented. The conditions leading to inflection points and singularities (cusps and loops) are investigated and the shape of these curves is classified. The conclusions enable us to detect inflection points and singularities and get an idea of how to preserve the fair shape when designing such curves.

关键词： hybrid hyperbolic polynomial curve H-Bézier curve shape classification inflection points singularities

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平面F-Bézier曲线奇拐点的检验及控制

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高等学校计算数学学报 2008年第3期30卷 213-226页

作者：邬弘毅柏丽娟合肥工业大学数学系安徽新华学院公共课程部巢湖学院数学系

1引言过去十年里在CAGD中引入了几类新的著名的曲线和曲面,其中之一是Zhang Ji—wen提出的C-曲线.不久前Zhang et al.利用复分析的方法将C-Bézier曲线(三角型)和H-Bézier曲线(双曲型)统一成F-Bézier曲线(函数型).C-Bézier曲线是由基

关键词： Bézier curve singular points inflection points discriminants distribution graphs

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