目标约束下的投资选择

根据 Markowitz投资组合理论和传统的期望效用理论 ,在效用函数相同的情况下 ,所有的理性投资者都将采用相同的最优投资策略 .但在现实中 ,不同的投资者往往采用不同的投资策略 ,依据传统理论只能认为他们并不都是理性投资者 .本文引入了目标约束后 ,说明了由于不同的投资者具有不同的目标约束 ,所以用传统的期望效用理论无法解释的看似非理性的行为其实却是理性的最优选择 .     

利用杨辉三角形对称性推导高阶运动微分方程

利用Mathematica数学软件计算函数r=r(q(t),t)各变量之间偏导和高阶导数的关系，发现具有杨辉三角形对称性.结合杨辉三角形的对称性规律和牛顿第二定律推导出了高阶运动微分方程，并讨论了理想约束系统下的高阶运动微分方程. 关键词： 杨辉三角形 牛顿第二定律 高阶运动微分方程 高阶力变率 高阶速度能量 理想约束     

超声-硝酸联合法提取褐煤腐植酸工艺

实验考察了超声、硝酸预处理、酸化程度、碱液浓度、反应温度、液固比、反应时间等对腐植酸提取率的影响,并通过正交设计选择最佳预氧化条件和褐煤腐植酸的最佳提取条件.结果表明;超声硝酸联合氧化法提取腐植酸的最佳条件为：超声频率80kHz,氧化温度50℃,硝酸液固比（mL/g）为5∶1,氧化时间90min,硝酸浓度1.5mol/L.     

西兰花种子提取萝卜硫素的酶解体系

以提取萝卜硫素主要酶解因素:pH、催化缓冲液类型、Zn2+浓度、Vc的浓度为4个考察因素,分别设立3个水平,采用L9(34)正交试验设计,优化提取酶解体系.结果表明,各因素的重要性顺序为:pH＞催化缓冲液类型＞Vc的浓度＞Zn2+浓度.西兰花种子生产萝卜硫素的最佳条件为:pH 5.0、Zn2+浓度为0.1mol/L、Vc的浓度为0.5mg/mL、以0.1mol/L醋酸-醋酸钠萝卜汁缓冲液为酶解缓冲体系.验证结果显示优选的缓冲液体系高效、稳定,可以作为西兰花种子提取萝卜硫素的酶解体系.     

Mechanical Constraint Effect on DNA Persistence Length

Persistence length is a significant criterion to characterize the semi-flexibility of DNA molecules. The mechanical constraints applied on DNA chains in new single-molecule experiments play a complex role in measuring DNA persistence length; however, there is a difficulty in quantitatively characterizing the mechanical constraint effects due to their complex interactions with electrostatic repulsions and thermal fluctuations. In this work, the classical buckling theory of Euler beam and Manning’s statistical theories of electrostatic force and thermal fluctuation force are combined for an isolated DNA fragment to formulate a quantitative model, which interprets the relationship between DNA persistence length and critical buckling length. Moreover, this relationship is further applied to identify the mechanical constraints in different DNA experiments by fitting the effective length factors of buckled fragments. Then, the mechanical constraint effects on DNA persistence lengths are explored. A good agreement among the results by theoretical models, previous experiments, and present molecular dynamics simulations demonstrates that the new superposition relationship including three constraint-dependent terms can effectively characterize changes in DNA persistence lengths with environmental conditions, and the strong constraint-environment coupling term dominates the significant changes of persistence lengths; via fitting effective length factors, the weakest mechanical constraints on DNAs in bulk experiments and stronger constraints on DNAs in single-molecule experiments are identified, respectively. Moreover, the consideration of DNA buckling provides a new perspective to examine the bendability of short-length DNA.     

Deterministic joint remote preparation of arbitrary multi-qudit states

In this Letter, we put forward a new nontrivial three-step strategy for joint remote preparation of arbitrary two-qudit states (JRSP) in a deterministic manner from a spatially separated multi-sender to one receiver. The scheme is then extended to the arbitrary multi-qudit case. In our schemes, various partially entangled GHZ-like states with arbitrary complex parameters are used as the quantum channels. It overcomes state preparation failure leading to the loss of valuable quantum channel resource and ensures the prepared data available for the remote terminals under extreme conditions such as limited number of quantum channels and limited quantum information processing technologies.     

基于正交小波包的茶叶近红外光谱特性分析

针对茶叶近红外光谱数据中存在着高度的共线性和高维数,根据小波包变换具有的去相关能力。通过引入保留能量和置零系数来定量描述茶叶近红外光谱小波包变换后的特性;分析与实验表明,正交小波包对近红外光谱具有较强的压缩能力,压缩后保留的能量为99．98％,而置零系数百分比高达95．87％;这一结果对近红外光谱图的存储、检索及快速处理都有着十分重要的意义。     

水化磷脂层中蛋白质和多肽的高分辨固体核磁共振波谱学

有序样品的固体核磁共振(NMR)已快速发展成测定蛋白质和多肽在“仿真”水化磷脂层中高分辨结构的重要谱学方法. 由于与膜相连的蛋白质和多肽的结构、动力学和功能往往都和其周边自然环境密切相关,因此人们把蛋白质和多肽有序排列于水化磷脂层中进行固体NMR测量, 从而获得与取向相关的各向异性自旋相互作用. 这些取向约束可作为结构参数重构蛋白质在水化磷脂层中的高分辨三维结构. 近十年来在样品制备,NMR探头和实验方法方面的显著发展,极大地促进了有序样品的固体NMR的发展,并使之成为测定与膜相连的蛋白质和多肽结构的有效方法. 该综述介绍有序样品的固体NMR谱学方法,并总结此领域里的最新研究进展.     

统计模型中均方误差的区间估计

本文研究了带线性约束条件的线性统计模型（Ⅰ）与（Ⅱ）中参数β的估计量βＨ的均方误差ＭＳＥ（βＨ）,并分别给出了其１—ａ置信区间．