一类积分方程的极小模最小二乘解稳定性的讨论

设Ｈ为Ｈｉｌｂｅｒｔ空间,Ａ为Ｈ上的有界线性算子,简记为Ａ∈Ｂ（Ｈ）．Ａ的值域Ｒ（Ａ）为闭时,则记为Ａ∈ＢＣ（Ｈ）．我们熟知对任意Ａ∈ＢＣ（Ｈ）,存在唯一有界线性算子Ａ＋∈Ｂ（Ｈ）,使得：１）ＡＡ＋＝ＰＲ（Ａ）,２）Ａ＋Ａ＝ＰＲ（Ａ＊）,３）Ｎ（Ａ＋...     

生长曲线模型中协差阵的一致最小方差非负二次无偏估计

在准椭球等高分布下给出了生长曲线模型中ｔｒ（ＣＶ）的一致最小方差非负二次无偏估计存在及任一个非负二次估计成为一致最小方差非负二次无偏估计的充要条件。     

海南省若干树木中的微量元素

海南地处热带地区,土壤富铝化作用强烈,元素生物小循环迅速,但树木中Ｃｄ,Ｎｉ,Ｃｕ,Ｚｎ,Ｐｂ,Ｈｇ的质量分数在正常范围值,其ｗＢ因树木种类不同而有明显差异,荔枝的ｗＢ一般较高,Ｃｄ,Ｎｉ,Ｐｂ居各树木之首;而南亚松ｗＢ通常较低,Ｃｄ,Ｎｉ,Ｃｕ,Ｚｎ,Ｐｂ为各树木最低．树木对必需元素Ｚｎ,Ｃｕ的吸收量明显高于非必需元素Ｐｂ,Ｃｄ,Ｎｉ,Ｈｇ,大多数树木的化学组成（ｗＢ）是：Ｚｎ＞Ｃｕ＞Ｐｂ＞Ｃｄ＞Ｎｉ＞Ｈｇ．Ｈｇ,Ｃｄ,Ｎｉ的质量分数大多叶高于枝,而ｗ（Ｃｕ）大多数是枝高于叶．同种树木的ｗＢ还与生态环境有关     

利用最小作用量原理建立比拟关系的研究

利用最小作用量原理建立了理想流体平面势流与保守力场中质点平面运动之间的比拟关系。     

一类卡诺制冷机的最小附加功率

讨论含有热阻和热漏损失的不可逆卡诺制冷机的损失．导出制冷机在给定制冷率下的最小附加功率,并作些讨论,所得结论为卡诺制冷机的优化设计提供理论依据．     

关于Van der Waerden猜想的一个注记

给出了（ｘｉｊ）ｎ×ｎ＝（１／ｎ）ｎ×ｎ为ＶａｎｄｅｒＷａｅｒｄｅｎ猜想对应多元函数的一个极小值点的改进证明．     

化学法清洗硅片过程中清除颗粒的机理(英文)

对化学法清洗硅片过程中消除颗粒的机理作了定量的探讨。颗粒的清除是由于化学蚀刻和颗粒与表面排斥力共同作用的结果。首次提出了最浅蚀刻深度和最小蚀刻速度的概念。最浅蚀刻深度可通过颗粒与表面间作用能的关系进行计算。是小蚀刻速度则可通过蚀刻侧形进行计算。研究结果对于优化化学法清洗过程和设计高性能清洗液都具有重要意义。     

苦楝果实活性物质对植物生长调节作用

应用生物活性鉴定技术,ＴＬＣ及化学成分检验法,论证了苦楝果实中含有对植物生长促进的活性性质,并初步证明这些活性物质为极性较大的萜类化合物,笔者将这些活性物质为“苦楝生长素类”。     

The least element property of center location on tree networks with applications to distance and precedence constrained problems

In the classicalp-center location model on a network there is a set of customers, and the primary objective is to selectp service centers that will minimize the maximum distance of a customer to a closest center. Suppose that thep centers receive their supplies from an existing central depot on the network, e.g. a warehouse. Thus, a secondary objective is to locate the centers that optimize the primary objective as close as possible to the central depot. We consider tree networks and twop-center models. We show that the set of optimal solutions to the primary objective has a semilattice structure with respect to some natural ordering. Using this property we prove that there is ap-center solution to the primary objective that simultaneously minimizes every secondary objective function which is monotone nondecreasing in the distances of thep centers from the existing central depot.Restricting the location models to a rooted path network (real line) we prove that the above results hold for the respective classicalp-median problems as well.     

The breakdown of the minimum polarizability principle in vibrational motions as an indicator of the most aromatic center

The vibrational motions that disobey the minimum polarizability principle (MPP) in pi-conjugated molecules are distortions of the equilibrium geometry that produce a reduction in the polarizability due to the localization of pi electrons. For aromatic species, this electronic localization is responsible for the subsequent reduction in the aromaticity of the system. In the present work, we diagonalize the Hessian matrix of the polarizability with respect to the vibrational nontotally symmetric normal coordinates, to calculate the nontotally symmetric distortions that produce the maximum breakdown of the MPP in a series of twenty polycyclic aromatic hydrocarbons. It is shown that the nuclear displacements that break the MPP have larger components in those rings that possess the highest local aromaticity. Thus, these vibrational motions can be used as an indicator of local aromaticity.