Analytic intermediate dimensional elliptic tori for the planetary many-body problem

In our context,the planetary many-body problem consists of studying the motion of(n+1)-bodies under the mutual attraction of gravitation,where n planets move around a massive central body,the Sun.We establish the existence of real analytic lower dimensional elliptic invariant tori with intermediate dimension N lies between n and 3n-1 for the spatial planetary many-body problem.Based on a degenerate KolmogorovArnold-Moser(abbr.KAM)theorem proved by Bambusi et al.(2011),Berti and Biasco(2011),we manage to handle the difficulties caused by the degeneracy of this real analytic system.     

Some Triple Block Intersection Numbers of Paley 2-Designs of QN-type

We determine here some possible values for thecardinality of the intersection of three blocks from Paley2-(2q+1, q, (q-1)/2) designs where qis a prime power such that (mod 4).     

高压下金属锂的电子结构

 本文采用正交化平面波方法和近自由电子模型计算了金属锂在压强分别为0、2、4 GPa时的能带、电子状态密度和费米能，讨论了压强对金属锂的电子结构的影响。     

Thermochemical investigations of nearly idial binary solvents. 6. Solubilities of iodine and benzil in systems of nonspecific interactions

Solubilities have been determined at 25°C for iodine in binary mixtures of carbon tetrachloride with cyclohexane, n-hexane, n-heptane, and octamethylcyclotetrasiloxane (OMCTS) and in mixtures of cyclohexane with n-hexane and OMCTS; and for benzil in binary mixtures of carbon tetrachloride with cyclohexane, n-hexane, and n-heptane, mixtures of n-hexane with cyclohexane and n-heptane, and mixtures of benzene with cyclohexane and toluene. With the exception of the benzene+cyclohexane system, the nearly ideal binary solvent model predicts these solubilities with a maximum deviation of 6% and an overall standard deviation of 2.4%. The model correctly predicts minima for solubility (mole fraction) of iodine in the OMCTS systems, and predicts solubilities within 4% for benzil in the carbon tetrachloride+n-hexane system, in which the solubility changes by a factor of 14. The failure of the model for predicting solubilities of benzil in mixtures of benzene and cyclohexane (maximum error of 25% for and 18-fold range of solubilities) is possibly due to specific interactions between benzil and benzene.     

几乎等长T形树的匹配唯一性

讨论简单无向图G的匹配唯一性,研究T形树T(m,n,s)匹配唯一的充分条件.利用匹配多项式根的信息,根据其定义以及图的度序列和匹配多项式的性质推导.若T形树T(m,n,s)是几乎等长的,则其是匹配唯一的.找到了T形树T(m,n,s)匹配唯一的一个充分条件,并得到了图的匹配多项式根的一些性质.     

隐格式近似不可压四面体4节点大变形单元

由于在处理体积自锁方面的优势,近似不可压问题的大变形求解多采用六面体单元/网格,但对于复杂工程问题,由于网格剖分上的限制,往往更需要一种可以很好解决体积自锁的四面体单元。Bonet和Burton的平均节点压力4节点四面体单元是为数不多能够较好处理体积自锁问题的四面体单元之一,但是该单元目前主要用于显式计算。利用单元平均压力对位移增量的精确方向导数,得到了严格的一致切线阵,保证了Newton-Raphson迭代的二阶收敛,从而使得该单元可以用于隐式计算。该单元的压力平均计算会耦合相邻单元的节点自由度,从而增加切线刚度阵的非零带宽,但不增加自由度总数。分别采用线性六面体选择缩减积分单元、标准线性四面体单元和本文的单元计算了3个近似不可压的典型算例。算例表明,本文推导的单元可以有效克服体积自锁,达到与常用六面体单元相近的效果,使得四面体网格可以方便地用于不可压问题的大变形隐式求解。     

Synthesis and Crystal Structure of 2-Hydroxybenzoic Acid [1-（3,5-Dibromo-2-hydroxyphenyl）methylidene]hydrazide Methanol

A new Schiff base compound, 2-hydroxybenzoic acid [1-(3,5-dibromo-2-hydroxy- phenyl) methylidene]hydrazide methanol (C14H10Br2N2O3·CH3OH), has been synthesized by the condensation of equimolar 3,5-dibromosalicylaldehyde and 2-hydroxybenzoic acid hydrazide in a methanol solution. The compound was characterized by elemental analysis, IR spectra, and single- crystal X-ray diffraction. The compound consists of a Schiff base moiety 2-hydroxybenzoic acid [1-(3,5-dibromo-2-hydroxyphenyl)methylidene]hydrazide and a lattice methanol molecule. The crystal belongs to the monoclinic system, space group P21/n with a = 7.183(1), b = 15.673(2), c = 15.001(2) , β = 98.345(2)o, Z = 4, V = 1670.9(4) 3, Dc = 1.773 g/cm3, Mr = 446.10, λ(MoKα) = 0.71073 , μ = 4.872 mm-1, F(000) = 880, R = 0.0458 and wR = 0.0963. A total of 3445 unique reflections were collected, of which 2236 with I > 2σ(I) were observed. As expected, the molecule adopts a trans configuration about the C=N double bond. The two benzene rings are nearly coplanar (mean deviation from the combined plane is 0.061(4) ), with the dihedral angle of 7.9(3)o. The preliminary biological tests show that the compound has moderate antibacterial activities.     

基于坐标变换精确计算近奇异积分的双向sinh变换法

提出一种与坐标变换相结合的双向sinh变换方法用于精确计算近奇异积分.首先利用坐标变换法对近奇异积分进行双向分离,再针对分离出的两个方向的积分形式,根据复变函数极点理论,构造双向sinh变换.与传统结合环向变换和极坐标变换的单向sinh变换以及迭代sinh变换方法相比,双向sinh变换法的计算精度更高,并且最近点的位置...     

重图的均匀边染色

图G的一个边染色称为是均匀的,如果对G的每个顶点v,与v关联的染任意两种颜色的边数至多相差一,我们给出了重图均匀边染色的一个充分条件。     

S6中具有常数K(a)hler角和常数曲率的极小曲面

本文给出了近Ｋａｈｌｅｒ球面Ｓ６中具有常数Ｋａｈｌｅｒ角和常数曲率的极小曲面的例子,同时证明了两个唯一性定理．