This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which h...This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions.展开更多
The determination of material formula needs try-and-error experiment,and consumes large amount of time and fund.In order to solve the problem,a comprehensive method is established,via the experiment of artificial-simi...The determination of material formula needs try-and-error experiment,and consumes large amount of time and fund.In order to solve the problem,a comprehensive method is established,via the experiment of artificial-similar material formula of a mine slope.We controlled the samples by the compactness,and arranged the formula of the test group with the method of the uniform formula experiment.The physical and mechanical parameters of these samples were analyzed using the method of the partial least-squares regression(PLS).And a mathematical model of the indexes of physical and mechanics parameters relating to the factors of formulation constituents was established eventually.We used the model to analyze the effect of each formulation constituent on physical and mechanics parameters of samples.The experiment results and analysis illustrates that1)in the formulation of similar material,the effect of raw materials on the internal friction angleφand cohesion C is opposite;2)The method can highly facilitate the process of the of preparing artificial-similar materials,more economic and effective.展开更多
【目的】基于协方差估计的多因变量回归(multivariate regression with covariance estimation,MRCE)模型进行多性状QTL定位分析,为动植物数量性状基因定位提供理论参考。【方法】构建适用QTL定位的MRCE模型,设计3个模拟试验对模型进行...【目的】基于协方差估计的多因变量回归(multivariate regression with covariance estimation,MRCE)模型进行多性状QTL定位分析,为动植物数量性状基因定位提供理论参考。【方法】构建适用QTL定位的MRCE模型,设计3个模拟试验对模型进行检验,通过计算机生成基因型和2个相关性状的表型值,并用2组数据对模型进行实际应用,其中一组为水稻DH群体数据,选自qtlnetwork软件;另一组为水稻永久F群体数据,由珍汕97×明恢63,含有210个株系的重组自交系(RIL)群体随机交配生成,分析MRCE模型在以上2组数据多性状QTL定位中的应用效果。【结果】用MRCE模型进行QTL定位的模拟试验结果表明,遗传变异所占方差比越大,相关系数绝对值越大,遗传率越大,则功效越好,估计值越接近效应值。MRCE的QTL定位应用结果显示,从水稻DH群体中识别出8个QTL与ph6性状有关,6个QTL与ph8性状有关;从1998年水稻永久F群体数据中识别出3个QTL与穗粒数相关,10个QTL与粒质量相关;从1999年数据识别出3个QTL与穗粒数相关,6个QTL与粒质量相关。【结论】利用MRCE模型进行多性状QTL定位是可行的。展开更多
文摘This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions.
基金Projects(41372312,51379194)supported by the National Natural Science Foundation of ChinaProject(CUGL140817)supported by the Fundamental Research Funds for the Central Universities of China University of Geosciences(Wuhan)+1 种基金Project(2014CFB894)supported by the Natural Science Foundation of Hubei Province of ChinaProject(2014M552113)supported by the China Postdoctoral Science Foundation
文摘The determination of material formula needs try-and-error experiment,and consumes large amount of time and fund.In order to solve the problem,a comprehensive method is established,via the experiment of artificial-similar material formula of a mine slope.We controlled the samples by the compactness,and arranged the formula of the test group with the method of the uniform formula experiment.The physical and mechanical parameters of these samples were analyzed using the method of the partial least-squares regression(PLS).And a mathematical model of the indexes of physical and mechanics parameters relating to the factors of formulation constituents was established eventually.We used the model to analyze the effect of each formulation constituent on physical and mechanics parameters of samples.The experiment results and analysis illustrates that1)in the formulation of similar material,the effect of raw materials on the internal friction angleφand cohesion C is opposite;2)The method can highly facilitate the process of the of preparing artificial-similar materials,more economic and effective.
文摘【目的】基于协方差估计的多因变量回归(multivariate regression with covariance estimation,MRCE)模型进行多性状QTL定位分析,为动植物数量性状基因定位提供理论参考。【方法】构建适用QTL定位的MRCE模型,设计3个模拟试验对模型进行检验,通过计算机生成基因型和2个相关性状的表型值,并用2组数据对模型进行实际应用,其中一组为水稻DH群体数据,选自qtlnetwork软件;另一组为水稻永久F群体数据,由珍汕97×明恢63,含有210个株系的重组自交系(RIL)群体随机交配生成,分析MRCE模型在以上2组数据多性状QTL定位中的应用效果。【结果】用MRCE模型进行QTL定位的模拟试验结果表明,遗传变异所占方差比越大,相关系数绝对值越大,遗传率越大,则功效越好,估计值越接近效应值。MRCE的QTL定位应用结果显示,从水稻DH群体中识别出8个QTL与ph6性状有关,6个QTL与ph8性状有关;从1998年水稻永久F群体数据中识别出3个QTL与穗粒数相关,10个QTL与粒质量相关;从1999年数据识别出3个QTL与穗粒数相关,6个QTL与粒质量相关。【结论】利用MRCE模型进行多性状QTL定位是可行的。
