Anisotropic effect on the vibronic reduction factors

The reduction factors p and q defined by Ham in the Ee JT system and their relation 2q-p=1 have been well accepted and the concept of reduction factors is widely used in the studies of vibronic coupling. However, when the system is under the anisotropic conditions, the reduction factors and their relation will change accordingly. The first-order reduction factors p and q of Ee system were further studied using the method of unitary transformation here. The relation between p and q proposed by Ham was investigated under both conditions of the linear coupling and the anisotropic effects. The result demonstrated that the relation of 2q-p=1 was only correct for the linear vibronic coupling, but not correct when the anisotropic effect was considered. This result suggested that the anisotropic effect influence considerably the reduction factors, and hence the physical properties of materials. Our method could be also applied to other JT systems, especially the highly symmetric JT systems involving C60 molecules.     

Asymptotic normality of multi-dimension quasi maximum likelihood estimate in generalized linear models with adaptive design

0Introduction Considerthemodel:y=h(x′β)+e wherey=y(1)y(q),h(t)=h(1)(t)h(q)(t),e=e(1)e(q),h(i),i=1,2,…,qisaknownboundedinjection:Rq→R1,h′isapositive matrixwith h(i)(t)tjasits(i,j)elementj=1,2,…,q,t=(t1,t2,…,tq),thepartialderivativesof2thorderofhexistandcontinuous.eistherandomerror.βisthep×1unknowparameterandxiisthefixedknownp×qmatrix,i=1,…,n,η=x′βiscalledpredictor,andthismodeliscalledgeneralizedlinearmodel.Supposetheindependentobservationsy1,…,ynaregetfromq dimensionrespons…     

B-Valued Dyadic Derivative

The principles of the new maximal operator H＊ we defined are discussed. We prove that it is bounded from martingale Hardy-Lorentz L^Xp.q[0,1） to the Lorentz L^Xp.q[0,1） for 1/2〈 p〈∞, 0〈~ q ≤ ∞, where X is any Banach space. When the Banach space X has the RN property, the sequence dnHnf converges to f a.e. Meanwhile the convergence in L^Xp norm for 1≤p〈∞ is a consequence of that the family functions K （n∈N） is an approximate identity.     

Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems

The existence of nontrivial homoclinic orbits of periodic Hamiltonian systems: q + Vq(t,q) = 0 is proved, where q = (q1, q2,…,qn), n > 2; V(t, q) R1 × Rn \ {e}→ R1 is a potential with a singularity, i.e. - V(t, q)→+∞, as q→e. The main assumptions are Gordon-strong force condion and the uniqueness of a global maximum of V( t, q).     

基于特征方程的某些图双概率可靠性的统一形式

设灾难发生时,图G=(V,E)的各顶点以独立概率p_1幸存,失效的顶点灾后以概率p2独立恢复功能(p_1p_2).定义了双概率可靠性,利用减缩边递推公式得到路图、正则q-树和圈图的迭代式满足二阶特征方程,并利用它们各自的初值,计算得到它们的统一形式的通项表达式.     

Davis’s inequalities for two-parameter Banach space valued strong martingales and geometrical properties of Banach spaces

In this paper we investigated theL ₁ norm inequalities of theP square and the maximal functions of two-parameterB-valued strong martingales, which can be applied to characterizep-smoothness andq-convexity of Banach spaces. Foundation item: Supported by the National Natural Science Foundation of China Biography: YE Chen (1974-), male, Master candidate, Research interest is in stochastic processes.     

A sufficient condition fork′(z)(k(z)∈H q,q≥1) to be ofH 1

We proved ifk(z)∈H ^q (q≥1),g(z) is analytic on |z|=1, , thenk′(z)∈H ¹, especially, ifq=1, thenk(z) is an analytic function on the closed unit disk |z|≤1. Peng Zhigang: born in June 1970, Ph. D     

中学生体育锻炼与自尊、目标取向和久坐行为的研究

目的:探讨积极参加体育锻炼与不积极参加体育锻炼的初中学生在自尊水平、目标取向、久坐行为时间与体质健康指标的差异性,为开发学生体质健康促进方案和心理辅导工作提供参考.方法:以200名中学男生为研究对象(100名积极参加体育锻炼的,100名不积极参加体育锻炼的),借助罗森博格的自尊量表及杜达和怀特海德完成的目标取向量表,对学生的久坐行为和身体素质进行测量.采用SPSS16.0对数据进行描述性统计和独立样本t检验和卡方检验.结果:积极锻炼组与不积极锻炼组学生在自尊(t=9.43,p0.05)、目标取向(t=6.85,p0.05)、自我取向(t=1.80,p0.05)、平时久坐(t=18.50,p0.05)、周末久坐(t=21.47,p0.05)、肌肉力量(t=5.19,p0.05)、肌肉耐力(t=7.03,p0.05)、心肺功能(t=3.50,p0.05)、柔韧(t=4.10,p0.05)、体质量(t=3.93,p0.05)方面存在明显的统计学意义.结论:积极参与体育活动的学生有更高的自尊表现与目标取向,不积极参与体育活动的学生表现出较低的自尊和较高的目标取向水平,其久坐时间明显较长,体质健康水平指标也低于积极参与锻炼的中学生.积极参与体育锻炼对于促进学生自尊水平、目标取向和改善体质健康水平有着积极的作用.     

Two-parameter vector-valued martingales and geometrical properties of Banach spaces

We obtained a number of inequalities and laws of large numbers for two-parameter vector-valued martingales. In the other direction we characterizedp-smoothness andq-convexity of Banach spaces by using these inequalities and laws of large numbers for two-parameter vector-valued martingales. Biography: CHENG Ri-yan (1968-), male, Master, now works in Department of Mathematics, Fujian Normal University, Fuzhou 350007, China, His current research interest is in random processes.     

Atomic Decompositions of Weak Hardy Spaces of B-Valued Martingales

The atomic decompositions of weak Hardy spaces of Banach-space-valued martingales are given. With the help of the atomic decompositions, some inequalities for B-valued martingales are established in the case 0〈r≤1. Here the results are connected closely with the p-uniform smoothness and q-uniform convexity of Banach spaces which the martingales take values in.     

基于美国高加索人群瘦体重的全基因组关联研究

为了寻找与瘦体重相关的单核苷酸多态性(SNP)位点及易感基因,在2 283名不相关的美国高加索人群中对瘦体重指数(LMI)进行全基因组关联分析(GWAS),并在1 000名不相关的美国高加索人群中验证,将研究结果与验证结果进行荟萃分析。研究发现,位于19p13.3区域的UQCR, MBD3和TCF3基因与LMI相关联。UQCR基因上rs8697(合并p=4.94×10~(-3))和rs56122285(合并p=2.59×10~(-3))具有eQTL效应,MBD3基因上rs8110543(合并p=6.88×10~(-3))和rs7252741(合并p=1.22×10~(-2))具有eQTL效应,DB得分分别为1b和1f。本研究进一步证实了UQCR,MBD3和TCF3基因在瘦体重变异中的作用,对肌少症的认识提供新的理论依据。     

Real-space renormalization group approach of the Potts model on the octagonal quasi-periodic tiling

A one-step real-space renormalization group (RSRG) transformation is used to study the ferromagnetic (FM) Potts model on the two-dimensional (2D) octagonal quasi-periodic tiling (OQT). The critical exponents of the correlation length in theq=1,2,3,4 cases and the crtitical surface of the Ising model are obtained. The results are discussed by comparing with previous results on the OQT and the square lattice (SQL). Supported by the National Natural Science Foundation of China (No. 19334011-C) Xiong Gang: born in 1973, Ph.D graduate student     

复对称鞅的q均方函数与复拟Banach空间的PL一致凸性

在通常的概率空间上考虑一种复对称鞅,应用它的ｑ均方函数的ａ．ｅ．有限性,弱（１,１）型,强（ｐ,ｐ）型,Φ函数不等式,以及它的增长速度给出值空间的ＰＬ一致凸性的刻划。     

Some clifford martingale spaces

We study the spaces Hp, Sp, Kp, ∑p and ,p of martingales with measure du=ψdυ,where ψ is a function with Clifford algebra values and satisfies bp+-condition. We proved they are equivalent and isomorphic to the corresponding spaces of martingales with real measure dυ, respectively(1≤p＜∞). In the end,we give a martingale f such that f=(fn) ∞∈1K∞ but f=(E(ψ| n)fn)n≥ ∈1K∞.     

The structure of one type of non-abelian group

By the property of the solvable group and the extending theorem of group, the authors acquired the structure of one type of Non-Abelian group. And we proved that when order is 10p ⁿ (p#2,5) and the sylowp-subgroup is cyclic, the group has twenty types. Whenp#3, it has 12 types and whenp=3, it has 8 types. Foundation item: Supported by the Natural Science Foundation of Hubei Province (No. 99J165) Biography: Huang Ben-wen (1948-), male, Professor, research direction: theory of groups.     

Blowup rate of positive solution of a semilinear parabolic system

It is dealt with positive solutions to the systems: u-t-u- XX =v+p, v-t-v XX =u+q in Ω×(0, T) subject to either initial conditions or boundary_value conditions. The exact blowup rate estimates of solution are established under some monotonicity assumptions on the initial values.     

具p-Laplacian非线性奇异边值系统正解的存在性

研究了下面带有p-Laplacian算子的非线性奇异边值系统:(ф_p(u'_i))'+a_i(t)f_i(u₁,u₂)=0, 0＜t＜1,α_iф_p(u_i(0))-β_iф_p(u'_i(0))=0, γ_iф_p(u_i(1))+δ_iф_p(u'_i(1))=0,(i=1,2)正解的存在性。其中ф_p(s)为p-Laplacian 算子,即ф_p(s)=|s|^p-2s, p>1, (ф_p)^-1=ф_q,1/p+1/q=1, α_i＞0, β_i≥0, γ_i＞0, δ_i≥0, i=1,2.这里f_{i是下半连续函数(i=1,2). 通过使用锥上的不动点定理,在相当弱的条件下, 获得了这类奇异边值系统正解的存在性.}     

Research on a Class of Equations over Finite Fields

Let F_q stand for the finite field of odd characteristic p with q elements(q=p~n,n∈N)and F_q~* denote the set of all the nonzero elements of F_q.In this paper,by using the augmented degree matrix and the result given by Cao,we obtain a formula for the number of rational points of the following equation over F_q:f(x _1,x _2,...,x _n)=(a_1 x_1 x_2~d+a_2 x_2 x_3~d...+a_(n-1)x_(n-1)x_n~d+a_n x_n x_1~d)~λ-bx_1~(d1)x_2~d2...x_n~(dn),with a_i,b∈F_q~*,n≥2,λ0 being positive integers,and d,d_i being nonnegative integers for 1≤i n.This technique can be applied to the polynomials of the form h_1~λ=h_2 with λ being positive integer and h_1,h_2∈F_q[x _1,x _2,...,x _n].It extends the results of the Markoff-Hurwitz-type equations.     

Methods and Effects of Hongshan Cock Spermatozoa Cryopreservation

0Introduction Afterthecarryingoutofopen doorpolicies,espe ciallyinthelatesttenyears,livestockandpoul try’sraisingbusinessdevelopedveryfastinChina,whichhelpeduscompletelyshrugofftheembarrassed situationofsevereshortagesofanimalproteininthepastlongperiodandgreatlyexcitedandencouraged us.Meanwhilewemustclearlyrealizethepotentialdangersbehindthepresentprosperities.Ourbreeds arebecominglessandless,manynativebreedswithlowperformancedisappearedcompletely,thetendency oftheirextinctionisincreasinginth…     

Thermostatistic properties of the relativistic <Emphasis Type="Italic">q</Emphasis>-deformed ideal Fermi gas at high temperature

The q-deformed Fermi-Dirac distribution is used to study the high-temperature(T TF) ∨behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the system are discussed,and then,the example of the neutrinos near the surface of the earth is used to calculate approximately. It shows that the q-deformation increases the total energy but decreases the chemical potential and heat capacity,whereas mc 2 ε F0increases the chemical potential and total ...