退化弱(L1,L2)-BLD映射的正则性

本文给出空间退化的弱(L1,L2)-BLD映射的定义.利用Hodge分解,弱逆Holder不等式等工具,证明了其正则性结果对任意满足0＜L2lnl/2l2n+l×100n2[23l/2.(24l+n+1)](l-q1)＜1的q1,都存在可积指数p1=p1(n,l,q1,L1,L2)＞l,使得对任意退化的弱(L1,L2)-BLD映射f∈W1,q1 loc(Ω,Rn),都有f∈W1,p1 loc (Ω,Rn),即f为通常意义下的退化的(L1,L2)-BLD映射.     

Some new 3-designs from PSL(2, q) with q ≡ 1 (mod4)

We determine the sizes of orbits from the action of subgroups of PSL(2,q) on projective line X = GF(q) ∪ {∞} with q a prime power and congruent to 1 modulo 4.As an example of its application,we construct some new families of simple 3-designs admitting PSL(2,q) as automorphism group.     

Characterization of {(q + 1) + 2, 1;t,q}-min · hypers and {2(q + 1) + 2, 2; 2,q}-min · hypers in a Finite projective geometry

In this paper, we shall characterize all {(q + 1) + 2, 1;t, q}-min · hypers and all {2(q + 1) + 2, 2; 2,q}-min · hypers for any integert 2 and any prime powerq 3. In the next paper [8], we shall characterize all {2(q + 1) + 2, 2;t, q}-min · hypers for any integert 3 and any prime powerq 5 using the results in this paper.     

伴随PГL2(32)的4-(33,k,λ)设计

In the previous paper (reference[3), we have found out all of the Σ₁₆(Ω) orbits under the PГL₂(32), and then given a lot of 4-(33,16,λ), designs. In this note, using the same method, we shall find out the Σ_k(Ω) orbits and 4-(33,k,λ) designs for 5≤k≤15.     

有限特殊射影酉群U4(q)与U5(q)的一个特征性质

设G为有限群,如对每个质数r都有|N_G(R₁)|=|N_(Un(q))(R₂)|,那么G≌U_n(q),此处R₁∈Syl_r(G),R₂∈Syl_r(U_n(q)),n=4或5.     

映入E0(p,q)的紧复合算子

应用复合算子研究E₀（p,q）空间,当p=2时,它就是Q_q,0,当P>0且q>1时,它就是小 Bloch空间B₀.讨论了复合算子的紧性并利用Carleson测度给出复合算子是紧的判别准则.     

NATURALLY REDUCTIVE(α1, α2) METRICS

Letting F be a homogeneous(α₁, α₂) metric on the reductive homogeneous manifold G/H, we first characterize the natural reductiveness of F as a local f-product between naturally reductive Riemannian metrics. Second, we prove the equivalence among several properties of F for its mean Berwald curvature and S-curvature. Finally, we find an explicit flag curvature formula for G/H when F is naturally reductive.     

关于m-HPK(n1,n2,n3,n4)-残差图

本文研究了3-维超平面完备残差图以及m 重3-维超平面完备残差图. 利用容斥原理以及集合的运算性质等方法, 分别获得了3-维超平面完备残差图和m 重3-维超平面完备残差图的最下阶以及二者的唯一极图, 将文献[1] 中定义的残差图从平面推广到超平面上.     

Characterization of L2(16) by Τe(L2(16))

Let G be a group and πe(G) the set of element orders of G.Let k∈πe(G) and m k be the number of elements of order k in G.Letτe(G)={mk|k∈πe(G)}.In this paper,we prove that L2(16) is recognizable byτe (L2(16)).In other words,we prove that if G is a group such that τe(G)=τe(L2(16))={1,255,272,544,1088,1920},then G is isomorphic to L2(16).     

2(n1+n2)-(k1+k2)42混合水平裂区设计包含纯净效应的条件

混水平部分因析裂区设计在各类试验中有广泛应用. 在三因子及更高阶交互作用可以忽略这一很弱的假设下, 试验者可以得到纯净主效应或者纯净两因子交互作用成分的无偏估计. 本文给出了含有两个四水平因子和若干二水平因子的混水平裂区设计包含各类纯净主效应或者纯净两因子交互作用成分的条件以及构造相应设计的方法.     

在L2(Rn)尺度下的Riesz位势空间上的最优恢复

考虑了Ｒｉｅｓｚ位势空间在给定网格上赋值的多元函数的重构问题,并且得到了L₂(Rⁿ)中由Ｒｉｅｓｚ位势确定的一些函数类上的精确结果。     

由分数次导数所确定的L2(T)中的一元周期函数类在Lq(T)中的相对宽度

作者研究了相对宽度K_n(W₂^α(T), MW₂^β(T), L₂(T)), T=[0,2π], 确定了使等式K_n(W₂^α(T), MW₂^β(T), L₂(T))=d_n(W₂^α(T), L₂(T))成立的最小M值, 得到了相对宽度K_n(W₂^α(T), W₂^α(T), L_q(T))的渐近阶, 其中α≥β>0, 1≤q≤∞, K_n(., ., L_q(T)) 和 d_n(., L_q(T))分别表示Kolmogorov意义下L_q(T)尺度下的相对宽度和宽度, MW_p^α(T), 1≤ p≤∞, 表示有如下卷积表达式的2π 周期函数类, f(t)=c+(B_α* g)(t),c∈ R, B_α*g 表示 B_α 和g 的卷积, g∈L_p(T) 满足∫₀^2πg(τ)dτ=0 和||g||_p≤M, B_α∈ L₁(T) 有如下Fourier展开: B_α(t)=1/2π∑' _{k∈ Z}(ik)^-αe^ikt,∑^'表示去掉 k=0的项.     

完全t部图K(n1,n2…nt)的色唯一性

本文使用比较两个色等价图的色划分数的方法,得出了完全t部图的色等价图类仍为完全t部图的一般形式数值条件,进一步得出了K(n₁,n₂,n₃)和K(n₁,n₂,n₃,n₄)为色唯一图的一般形式数值条件。     

Performance of the（BMAP1, BMAP2 ）/（PH1, PH2 ）/N Retrial Queueing System with Finite Buffer

This paper consider the （BMAP1, BMAP2）/（PH1, PH2）/N retrial queue with finite-position buffer. The behavior of the system is described in terms of continuous time multi-dimensional Markov chain. Arriving type I calls find all servers busy and join the buffer, if the positions of the buffer are insufficient, they can go to orbit. Arriving type II calls find all servers busy and join the orbit directly. Each server can provide two types heterogeneous services with Phase-type （PH） time distribution to every arriving call （including types I and II calls）, arriving calls have an option to choose either type of services. The model is quite general enough to cover most of the systems in communication networks. We derive the ergodicity condition, the stationary distribution and the main performance characteristics of the system. The effects of various parameters on the system performance measures are illustrated numerically.     

(YBa2Cu3O7)24/(PrBa2Cu3O7)2多层膜的超导转变展宽和维度 *

测量了(YBa₂Cu₃O₇)₂₄/(PrBa₂Cu₃O₇)₂ 多层膜在强磁场下的超导转变展宽 .这种YBa₂Cu₃O₇层间具有耦合 退耦合的临界绝缘层PrBa₂Cu₃O₇厚度以及由 3D向 2D过渡的YBa₂Cu₃O₇层厚度的多层膜 ,其不可逆场遵守H ∝ ( 1-t)μ关系 ,其 μ值约为1 ,介于3D( μ =3/2 )和2D( μ =1 /2 )之间 .磁通运动的热激活能的结果表明 ,对于H∥c和H⊥J的磁场位形 ,遵守U∝lnH关系 ,即磁通涡旋处于2D区 .而对于H∥ab和H⊥J ,H∥ab和H∥J两种磁场位形 ,激活能U随磁场的增加而线性减小 ,表明磁通涡旋处于3D态 .讨论了上述维度变化的可能物理机制 .     

M?ssbauer study on Sn-doped (Lal1-x,Srx)2Cu1-x,Snx,O4 superconductors under a new concept

¹¹⁹Sn M?ssbauer research is carried out on (La_1-xSr_x),Cu_1-xSn_xO₄(x = 0.075 and 0.110) superconductors which are designed under a new concept. The M?ssbauer spectra results show that Sn occupies Cu position in Sn⁴⁺ state, and there is no Sn²⁺ ion occupying La position. The local lattice deformation near Sn⁴⁺ site is small, but displays an increasing tendency with Sn doping. For La₂CuO₄ matrix, the simultaneous dopings of Sr/Sn induce holes and electrons on CuO₂ layer in a new mechanism which influences superconductivity. Under a new mechanism of extra oxygen, the extra oxygen effect of Sn-doping on superconductivity is discussed     

Sp(2n,F2)中含长根子群的极大子群系

All maximal subgroups in PS_p(2n,F) which contain long root subgroups have been determined in [1] for F≠F₂ and will be determined here for F = F₂. Other than the three types of reducible or imprimitive maximal subgroups listed in[l], we have here the orthogonal groups O(2n,F₂,Q) and the symmetric groups S_2n+2 (n even and ≥4) to complete our list.     

GL2(Z)上的Catalan方程(英文)

本文研究Catalan矩阵方程和另一个类似的矩阵方程在GL₂(Z)上的可解性,并且得到了它们在GL₂(Z)上的所有解.     

R2O3-AIN-AI2O3(R=Ce,Pr,Nd和Sm)系统的相关系

研究了R₂O₃-AIN-AI₂O₃(R=Ce,Pr,Nd和Sm)三元系固相线下的相关系及R₂O₃-AIN-AI₂O₃系统在1700℃的等温截面.发现存有一个组成为RAl₁₂O₁₈N的新相,其结构同β—Al₂O₃.本文对其它轻稀土元素可否形成新相也作了探讨.发现从La到Eu(除了Pm未测外)都能在组成RAl₁₂O₁₈N处形成含N的β-Al₂O₃相.经测定它们的单相区范围为:当R=Nd和Sm时,含Nβ-Al₂O₃相只发生在RAl₁₂O₁₈N组成处;而其它稀土的含Nβ-Al₂O₃相的组成都扩大到纯氧化物一端,即R₂O₃:11Al₂O₃处.经测定RAl₁₂O₁₈N的晶胞常数(a=5.557和c=22.00)几乎不随R而变化.1700℃时,在Nd₂O₃-Nd₂AlO₃N-NdAlO₃三角形区域中存有一个很大液相区.     

Minimal Covers of Q +(2n + 1, q) by (n − 1)-Dimensional Subspaces

A t-cover of a quadric is a set C of t-dimensional subspaces contained in such that every point of is contained in at least one element of C.We consider (n – 1)-covers of the hyperbolic quadric Q ⁺(2n + 1, q). We show that such a cover must have at least q ^{n + 1} + 2q + 1 elements, give an example of this size for even q and describe what covers of this size should look like.