暗物质、暗能量对宇宙未来命运的影响

 据实验检测和理论计算,论证了现时中微子的超对称伴子“中性微子”U_e,B⁰(q₂,g)是宇宙暗物质的最佳候选粒子.认为超新星爆炸释放的暗能量,迫使宇宙背景光子热平衡态的温度T、压强p上升.将压强类比为“反引力”,当“反引力”(压强)大于引力,则宇宙将加速膨胀;当“反引力”小于引力,则宇宙将收缩.     

路径直积图的意大利控制数

研究了路径直积图P_n×P_m的意大利控制数。结合计算机构造证明和数学推导证明,确定了P_n×P₁、P_n×P₂和P_n×P₃的意大利控制数,并给出了P_n×P_m （m≥4）意大利控制数的界。     

偶数阶非线性中立型阻尼微分方程的振动性与渐近性

 考虑以下偶数阶非线性中立型阻尼微分方程的振动性与渐近性:[x(t)+ (t)x(τ_i(t))]⁽ⁿ⁾+b(t)[x(t)+ (t)x(τ_i(t))]^(n-1)+q(t)f(x(σ(t)))=0,t≥t0,获得了该类方程所有解振动的2个准则,推广了现有文献的一些结果.此外,还获得了关于该类方程每一个有界解的振动性与渐近性的2个充分条件.     

(C4H5N)n(H2O)m团簇的多光子电离与从头计算

在355nm波长下用激光电离反射式飞行时间质谱装置研究了氢键团簇吡咯/水(C₄H₅N)_n(H₂O)_m的多光子电离,增加分子束混合气体源中吡咯相对浓度,可以观测到较大尺寸的二元团簇离子,非质子化团簇离子(C₄H₅N)_n(H₂O)_m+,质子化团簇离子(C₄H₅N)_n(H₂O)_mH+和脱氢团簇离子(C₄H₄N)_n(C₄H₅N)_n(H₂O)_m+.用从头计算方法得到它们的结构.提出了团簇离子形成的机理可能是团簇电离后发生了解离.     

关于一类高阶齐次线性微分方程解的增长性

 研究了高阶线性齐次微分方程
f ^(k)+A_k－1(z)P_k－1(e ^z)f ^′ +…+A₁(z)P₁(e^z)f ^′ +A₀(z)P₀(e^z)f=0
解的增长性,其中A_j(z)≠0(j=0,1,…,k－1)是整函数,P_j(e^z)(j=0,1,…,k－1)是e^z的非常数多项式,它们的常数项都为零,且次数不相等。证明了该微分方程的每一个非零解有无穷级。     

带有不完全椭球约束的多元回归系数线性估计的泛容许性

 对于带有不完全椭球约束的多指标线性模型Y=XΘ+ε,ε～(0,∑ V),Θ′X′NXΘ≤∑,给出了SΘ的泛容许估计的定义,并在齐次线性估计类(非齐次线性估计类)中给出了SΘ的估计AY(AY+C)泛容许的充要条件,不论SΘ是否可估.     

考虑寒区隧道围岩冻结温度渐变的冻胀力解析解

为考虑寒区隧道围岩单向冻结和径向冻结温度渐变会引起的不同方向和不同冻结深度处的非均匀冻胀变形,通过引入冻胀围岩径向冻结温度Tr和平行与垂直冻结方向的非均匀冻胀系数k反映围岩的非均匀冻胀性,理论推演建立了寒区隧道冻胀力解析解,并进行了案例和影响因素分析。研究表明：忽略冻结温度渐变影响时冻胀力明显偏大,考虑冻结温度渐变可有效提高冻胀力计算的可靠性;考虑冻结温度渐变影响的冻胀力随着非均匀冻胀系数k的增大呈对数函数增大,随冻结与未冻围岩的弹性模量比E_Ⅱ/E_Ⅲ的增大而线性减小,且E_Ⅱ/E_Ⅲ越大时冻胀力产生所需围岩达到的临界k值也越大;隧道冻胀力随围岩冻结圈外径、未冻围岩弹性模量和原岩应力的增大而增大,但随衬砌内径、冻结围岩单位温度冻胀系数的增大而逐渐降低。     

非贵金属新型催化剂催化松香歧化动力学研究

 以醇盐水解法制备的Ni-Al/MnO_x(Ⅱ)为催化剂催化松香歧化反应,研究了反应的动力学特征,得到其动力学方程为:lnw=kt+1.326 7,其中反应速度常数k与反应温度T间的关系为k=0.103 6 e^-8.854/RT.     

疏水缔合阳离子淀粉的制备及其对滇池含藻水的絮凝研究

 采用氧化还原引发体系,通过反相悬浮聚合技术,进行四元St-OA-AM-DMDAAC聚合,合成疏水缔合阳离子淀粉;研究其对滇池含藻水的絮凝.结果表明:在m(St):m(AM):m(DMDAAC):m(OA)=4:8:1.5:0.6时,40℃反应3 h,单体转化率达92.4%,接枝率63.8%,黏均相对分子质量3.26×10⁶,阳离子化度7.3%;在处理pH为6.0的滇池含藻水时,加入量为15 mg/L时,透光率及COD_Cr去除率分别达93.5%,71.3%;市售PAM-C为91.3%及69.2%;同时疏水缔合阳离子淀粉用量在10-25 mg/L,pH在6-10范围内,对滇池含藻水有较好的絮凝效果.     

一类非线性薛定谔方程的孤子解

 研究了具有V(x,t)=f₁(t)x+f₂(t)x²形式的外部势的非线性薛定谔方程的单一孤立子解.结果表明:当孤立子的中心满足带有势V(x,t)的牛顿方程,孤立子的内部结构由"体固定"坐标系决定.孤立子的结构与f₁(t)无关.若f₂(t)与t无关,孤立子是固定的.原则上,若f₂(t)剧烈变化,则孤立子将扩散.但数值计算表明,在一定条件下,孤立子还是经得起f₂(t)的剧烈变化.     

Population-size-dependent branching processes in Markovian random environments

A branching model {Z n} n≥0is considered where the offspring distribution of the population's evolution is not only dependent on the population size, but also controlled by a Markovian environmental process {ξ n} n≥0. For this model, asymptotic behaviour is studied such as limn→∞Z n and limn→∞Z n/m n in the case that the mean m k, θof the offspring distribution converges to m>1 as the population size k grows to ∞. In the case that {ξ n} n≥0is an irreducible positive recurrent Markov chain, certain extinction (i.e. P(Z n=0 for some n)=1) and noncertain extinction (i.e. P(Z n=0 for some n)<1) are studied.     

A new class of harmonic univalent functions by the generalized Salagean operator

A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h ＋ g^-, where h and g are analytic in U. We define and investigate a new class SHPλ（α,β）by generalized Salagean operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class SHPλ（α,β） These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.     

Generalized Galerkin approximations for pseudoinverses and operator equations of the first kind

0 IntroductionLeqtuiliHnebaer afo rHimlbaenrtd sap baoceun.dLeedtlianaenardfufnbceti oan baolu onndeHd ,serse--spectively. Our goal is to seekv∈Hsuchthata(u,v) =f(u) , u∈ H (1)As a rule, we call the expression (1) a variational equationandva solutiontothis equation.By virtue of the Riesz repre-sentationtheorem,there exists a uniquely determined boundedlinear operatorA:H→Hsuchthata(u,v) =〈u,Av〉, u,v∈ H,where〈·,·〉is the inner product onH.If the sesquilinearformais also with posit…     

Magnetic properties and applications of newly-developed-nanocrystalline Fe72Cu1mV2Si14B9 and Fe72CulNblMo1V2Si14B9 alloys

Conclusions  

A local asymptotic behavior for ruin probability in the renewal risk model

Let R（t）=u＋ct-∑ I=1^N（t） Xi,t≥0 be the renewal risk model, with Fx（x）being the distribution function of the claim amount X. Let ψ（u） be the ruin probability with initial surplus u. Under the condition of Fx（x） ∈ S^＊（γ）,y ≥ 0, by the geometric sum method, we derive the local asymptotic behavior for ψ（u,u ＋ z] for every 0 （ z （ oo, On one hand, the asymptotic behavior of ψ（u） can be derived from the result obtained. On the other hand, the result of this paper can be applied to the insurance risk management of an insurance company.     

Additive characters and orthogonal systems of polynomials in several indeterminates over residue class rings

Letm, n andk be positive integers, m> 1 andk≤ n. Let ‰ _m =‰m‰ denote the residue class ring modulom. Let ‰ _m denote the group of additive characters of ‰ _m denote the identity of ‰ _m . A necessary and sufficient condition for the systemf ₁,...,f _k ∈ ‰ _m [x ₁, ...,x _m ] to be orthogonal is given: for all additive characters ψ₁, ..., ψ _k ∈ ‰ _m with ψ_i,≠x₀ forsomei, . As corollaries, the result of Shiue-Sun-Zhang and the result of Sun are obtained.     

玻色型反氢原子结构及氘核PB+1nB0和PF+1nF0结构函数的矩

摘要：根据费米型质子PB^ 1、中子nF^0、电子e^-1的超对称性伴子玻色型PB^ 1nB^0、-↑Ue^-,1↑B粒子,讨论反氢原子的结构,计算费米型氘核PF^ 1nF^0和玻色型氘核PB^ 1nB^0结构函数的矩,结果发现反氢原子的结构与目前观测到费米型反氢原子不同,氘核PB^ 1nB^0结构函数的矩的理论值与实验数据较好相符,PB^ 1nB^0结构函数的矩的计算结果比PB^ 1nF^0要大,增大的值是由于费米型中性矢量反轻子-↑l0F,T结构函数的贡献所致。     

输运理论中原子核初始化研究

基于同位旋相关的量子分子动力学(IQMD)输运理论模型，研究中能重离子碰撞的初始化问题。成功的初始化可以很好地减少碰撞过程中出现的非物理涨落和虚粒子发射，有利于两体碰撞过程顺利进行。计算发现，不同的对称势对原子核的稳定性有一定的影响。选取不同质量数的Fe,Kr,Sn元素及其同位素，通过其在自身平均场中随时间的演化来验证原子核的稳定性，统计出初始化稳定原子核的数量，选取出最为稳定的对称势。发现平方项的对称势U₂最为稳定，其对应的斜率L、不可压缩系数K_sym都在已知的约束范围内，表现出同位旋相关平均场取硬势时，原子核更为稳定的特征。     

Restricted allowable generalized quantum gates

An allowable generalized quantum gate (introduced by Long, Liu and Wang) has the form of U = Σ _k=0 ^d−1 c _k U _k , where U _k’s are unitary operators on a Hilbert space H and |Σ _k=0 ^d−1 c _k |⩽1 and |c _k |⩽1 (0⩽k⩽d−1). In this work we consider a kind of AGQGs, called restricted allowable generalized quantum gates (RAGQGs), satisfying 0 < Σ _k=0 ^d−1|c _k |⩽1. Some properties of the set RAGQG(H) of all RAGQGs on H are established. Especially, we prove that the extreme points of RAGQG(H) are exactly unitary operators on H and that B(H)=R ⁺ RAGQG(H).