基于低温量热器的无中微子双贝塔衰变探测实验国内外研究进展

无中微子双贝塔衰变过程能够揭示中微子的粒子属性,打破标准模型的轻子数守恒,并且是目前获得中微子有效质量的重要途径. 本文通过对国内外无中微子双贝塔衰变探测实验的最新研究进展进行详细调研,重点对基于低温量热器的无中微子双贝塔衰变实验设计方案进行深入研究,并以意大利格兰萨索地下实验室（cryogenic underground observatory for rare events,CUORE）实验方案为例,详细地阐述了低温量热器技术的系统组成、工作原理以及现阶段所面临的关键难点,将要解决的问题主要包括极低温环境的搭建、核素种类的选取与探测塔的搭建、本底的甄别和微弱信号的前置放大.      

原子核衰变与原子核反应的统一

提出把原子核的衰变视为一种特殊的核反应，则衰变能就是这种特殊的核反应过程的反应能．而原子核衰变中的出射粒子动能与衰变能之间的定量关系，就是这种特殊的核反应过程的Q方程；并提出了原子核衰变与原子核反应两部分内容的教学建议．     

空间交互网络研究进展

 空间交互网络是人、商品和信息等在地点之间流动而形成的嵌入在空间中的有向流网络。典型的空间交互网络包括国际贸易网络、人口迁移网络、人群出行网络及电话通信网络等。理解和预测空间交互网络中的流量分布模式不仅是区域科学、交通科学、经济地理学等很多领域长期以来的一个重要研究主题,在城市和交通规划、疾病传播防控、商业服务等领域也具有广泛应用价值。本文在简要介绍引力模型、介入机会模型等经典空间交互模型的基础上,着重对近年来复杂系统研究领域在空间交互网络建模方面的研究成果进行介绍,包括辐射模型、人口权重机会模型及空间交互网络上的随机游走模型等,并且对空间交互网络研究中存在的挑战性问题进行探讨,包括个体多样性行为建模、群体空间交互决策行为实验、数据驱动的活动-出行行为研究等。     

双重Hermite矩阵的性质

通过对Hermite矩阵的研究,给出了次Hermite矩阵、反Hermite矩阵、Hermite矩阵、反次Hermite矩阵、双重Hermite矩阵、反双重Hermite矩阵的基本概念,得到了双重Hermite矩阵、反双重Hermite矩阵的线性运算的封闭性,判定次Hermite矩阵的充要条件,以及双重Hermite矩阵、反双重Hermite矩阵之积是双重Hermite矩阵的充要条件;还得出了反双重Hermite矩阵的主、次对角线元素的特征等。     

船体曲面造型研究进展

船体曲面用数学方法表示的重要意义在于其能利用曲面模型进行性能分析计算及为后续的CAM提供所需数据,提高效率与精度。从曲面造型数学工具的发展过程及各种数学方法应用于船体曲面造型两个方面,总结了近几十年来国内外曲面造型与船体曲面造型的应用研究进展,指出了船体曲面NURBS造型的关键技术,并探讨了需要进一步研究的难点问题,为更加合理有效地表达船体曲面提供一些借鉴作用。     

矩阵元素不等式的证明

论述了矩阵中各行(或各列)元素之间的算术平均值、几何平均值、调和平均值存在的一种不等式关系,并给出它们之间的不等式关系的一个证明。     

Advances in the study of hybrid finite elements

Some new concepts and research progress in hybrid finite elements advanced in recent years are in troduced. On the basis of incompatible energy consistency analysis, the optimal condition of hybrid elements is derived and the formulation for fulfilling this condition is given. A post-processing penalty equilibrium optimization technique of hybrid element is presented to create high quality hybrid model. For incompressible problems, a method of deviatoric hybrid element is proposed and unification of computation between compressible and incompressible media is achieved.     

Advances in the study of hybrid finite elements

Some new concepts and research progress in hybrid finite elements advanced in recent years are in troduced. On the basis of incompatible energy consistency analysis, the optimal condition of hybrid elements is derived and the formulation for fulfilling this condition is given. A post-processing penalty equilibrium optimization technique of hybrid element is presented to create high quality hybrid model. For incompressible problems, a method of deviatoric hybrid element is proposed and unification of computation between compressible and incompressible media is achieved.     

Interactions between the nuclear matrix proteins and the 5′-flankingcis-acting elements of the human ε-globin gene

An erythroid-specific nuclear matrix protein (termed ε-NMP_k) in K562 cells, which can specifically bind to the positive stage-specific regulatory element (ε-PRE II, - 446 - 419 bp) upstream of the human ε-globin gene, has been identified by using gel mobility shift assay. Meanwhile, Southwestern blotting assay showed that the nuclear matrix protein ε-NMP_k in K562, cells may be composed of two polypeptides (∼ 40 ku). In addition, it is observed in the gel mobility shift assay that the nuclear matrix proteins from K562, HEL and Raji cells can bind to the silencer DNA (- 392 - 177 bp) in the 5′-flanking sequence of human ε-globin gene respectively. However, the shift band K detected in K562 cells is different from shift band H/R in HEL and Raji cells, suggesting that a common nuclear matrix protein may exist in HEL and Raji cells. Results show that the nuclear matrix protein may play an important role in the regulation of the human ε-globin gene expression.     

2-重伴随矩阵的探讨

应用矩阵运算的一些性质和技巧,证明了一般阶方阵的伴随矩阵的性质,并对一些作了丰富和推广的结论,使其伴随矩阵的性质进一步完善,利用这些结论可使一些相关的计算和证明有繁琐变的相对简短.     

核反应堆功率模糊动态矩阵控制

为了提高核电机组功率控制器的负荷跟踪性能,基于T-S模糊模型,针对点堆中子动力学方程设计了模糊动态矩阵控制器.利用改进型的动态矩阵控制算法在工作点附近设计局部控制器.在强非线性的全局控制范围内,利用并行分布补偿(PDC)方法,将各工作点处的局部控制器统一起来,从而扩大了反应堆功率控制中动态矩阵控制器的适用范围.计算机仿真结果表明,对于所选取的3种典型的运行工况,所设计的控制器都能在保证安全的前提下,在全局范围内表现出良好的负荷跟随能力.     

塞曼哈密顿在|~3 PJM_J〉表象中的矩阵元

以多电子原子塞曼哈密顿的球张量形式为基础,借助单体和双体算符在Slater表象中的矩阵元公式,利用不可约张量理论和角动量耦合理论推导出了包含磁场二次项的塞曼哈密顿在|3PJMJ〉表象中矩阵元的一般表达式。以氦原子1s4p组态为例,计算了氦原子43P态的精细结构裂距,并绘出了能级分裂图。     

中子星壳层中强磁场与β衰变

 基于原子核壳层模型,分析了在强磁场作用下中子星壳层中的β衰变率,并以反应⁶³Co(β^-)⁶³Ni为例作详细计算.结果表明:弱磁场对中子星壳层中的β衰变几乎没有影响,强磁场(B>10⁸T)使β衰变率显著增大;同时在相同的磁场强度下,基态的β衰变比激发态的β衰变所受影响更大.这些结论对进一步研究中子星晚期演化和双中子星系统快中子俘获过程的核合成是有意义的.     

一类次三对角矩阵逆元素的估计式

给出了严格次对角占优次三对角矩阵逆元素的估计式.并通过实例说明,该估计式是简单、可行的.     

一个基于统计方法的OD矩阵求解算法

在传统的OD矩阵估计模型的基础上,并在路段分配概率是随机变量这一假设的前提下,给出了一个统一的OD矩阵模型基本形式,针对该OD矩阵估计模型给出了一个基本求解算法--混合遗传算法.该算法是在传统的数学规划方法和遗传算法的基础之上给出的.同时通过算例的求解,分析了算法的优缺点.     

一个基于统计方法的OD矩阵求解算法

在传统的OD矩阵估计模型的基础上,并在路段分配概率是随机变量这一假设的前提下,给出了一个统一的OD矩阵模型基本形式,针对该OD矩阵估计模型给出了一个基本求解算法———混合遗传算法。该算法是在传统的数学规划方法和遗传算法的基础之上给出的。同时通过算例的求解,分析了算法的优缺点。     

Advances in simulated modeling of vibration systems based on computational intelligence

Computational intelligence is the computational simulation of the bio-intelligence, which includes artificial neural networks, fuzzy systems and evolutionary computations. This article summarizes the state of the art in the field of simulated modeling of vibration systems using methods of computational intelligence, based on some relevant subjects and the authors' own research work. First, contributions to the applications of computational intelligence to the identification of nonlinear characteristics of packaging are reviewed. Subsequently, applications of the newly developed training algorithms for feedforward neural networks to the identification of restoring forces in multi-degree-of-freedom nonlinear systems are discussed. Finally, the neural-network-based method of model reduction for the dynamic simulation of microelectromechanical systems (MEMS) using generalized Hebbian algorithm (GHA) and robust GHA is outlined. The prospects of the simulated modeling of vibration systems using techniques of computational intelligence are also indicated.     

一类三对角矩阵逆元素的估计式

研究了严格对角占优三对角矩阵逆元素的估计问题.利用严格对角占优和三对角矩阵的某些特性,推导出严格对角占优三对角矩阵逆元素的统一估计式.在这个估计式中,严格对角占优三对角矩阵不必是非负矩阵,因而,这个结论的应用范围更加广泛.     

Advances in biomolecular surface meshing and its applications to mathematical modeling

In the field of molecular modeling and simulation, molecular surface meshes are necessary for many problems, such as molecular structure visualization and analysis, docking problem and implicit solvent modeling and simulation. Recently, with the developments of advanced mathematical modeling in the field of implicit solvent modeling and simulation, providing surface meshes with good qualities efficiently for large real biomolecular systems becomes an urgent issue beyond its traditional purposes for visualization and geometry analyses for molecular structure. In this review, we summarize recent works on this issue. First, various definitions of molecular surfaces and corresponding meshing methods are introduced. Second, our recent meshing tool, TMSmesh, and its performances are presented. Finally, we show the applications of the molecular surface mesh in implicit solvent modeling and simulations using boundary element method (BEM) and finite element method (FEM).