Mn掺杂CuCrO2纳米粉体的室温铁磁性

利用固相反应与球磨相结合的方法,制备了(Cu_1-xMn_x)CrO₂ (0≤x≤6 at%) 和 Cu(Cr_1-yMn_y)O₂ (0≤y≤6 at%)两个系列的纳米粉体.结果表明,所有样品都具有3R-CuCrO₂铜铁矿单相结构.晶格膨胀说明Mn离子已分别固溶到(Cu_1-xMn_x)CrO₂的Cu亚晶格中和Cu(Cr_1-yMn_y)O₂的Cr亚晶格中,这在X射线光电子能谱的分析中得到了进一步的证实.B位Mn掺杂样品具有室温铁磁性,磁性源于Cr³⁺-Mn³⁺离子对间以空穴为媒介的双交换相互作用.CuMO₂(M=Cr,Mn)铜铁矿纳米粉体的饱和磁化强度比文献值高出约一个数量级,并随着Mn含量的增大而逐渐减小,主要受到3个因素的共同影响:M-M离子对数目、M-M离子间距及空穴浓度.     

带有临界指数和奇性的椭圆方程正解的存在性

考虑了一类带权的有狄里克莱边界条件的椭圆方程：－div(|x|^－2au)－λ/|x|^2(a+1)u=|x|^－bpu^p－1+μu^－q,其中0∈ΩR^N(N≥3),0≤a－2/2,a≤b,p=2N/N－2(1+a－b),0<λ<(N－2－2a/2)²,0<q<1. 并利用变分方法,在适当μ的情况下,证明方程至少存在两个正的弱解.     

一类非线性中立型微分方程的振动定理

 一类非线性混合中立型泛函微分方程(dⁿ/dtⁿ)(x(t)±ax(t-τ)bx(t +τ))(q(t)f(x(t-ρ))+p(t)g(x(t+σ)))=0,被讨论,得到了各种解的振动性的充分条件.     

地磁太阴日变化L的O1分量的变化特征

 用Winch提出的地磁太阴日变化分析方法确定佘山地磁台的地磁太阴日变化的O₁分量L(O₁).首先把佘山台 196 0～1988年D,H和Z各分量的时均值资料做为整体分析年平均变化,然后按季节和太阳活动性细分后进行计算分析.讨论了L(O₁)的基本特征和季节变化、电离层和海洋发电机效应对L(O₁)的影响以及太阳活动对L(O₁)的贡献,并与国外一些地磁台的结果进行了对比分析.     

光分组交换的最小开销调度法

在光交换机中调度光分组时%其核心问题是找到一种调度算法以使分组在交换机中的时延最小（其时延包 括业务实际通过交换机所需要的时间以及配置交换矩阵所用的开销）。针对上述问题%提出了一种基于漏桶的新 算法--业务穷尽匹配（traffic exhaust matching,TEM）算法,其时间复杂度为O（N²）,并能实现!100%的吞吐量。 与已有的ADJUST和DOUBLE算法比较,仿真表明TEM在时间复杂度及传输时延方面更具有优越性。     

一般有限域GF(pm)上线性码的自同构群

 对单式阵群作一个较详细的研究,并将GF(2^m)上线性码的自同构群的一些结论推广到最一般的有限域GF(p^m)上去,这里的p是任意的素数.     

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.     

利用树状数组的两区域电路线交叉分布

在两区域电路线交叉分布中计算交叉点的数目,目前采用线性表或者动态规划的方法,其算法时间复杂性均为O(n²). 为有效降低现有算法的时间复杂性,给出一种时间复杂性为O（nlogn）、利用树状数组的计数算法,并且可以找到每条布线的所有交叉线. 理论分析和相应实验结果证实了该算法的有效性.     

RN中一类非局部问题基态解的存在性

利用变分方法研究了一类R^N上带有非局部项的分数阶椭圆型偏微分方程基态解的存在性。首先证明了对应泛函在Nehari流形上强制且下有界，因而得到有界极小化序列的存在性，其次应用Ekeland变分原理证明该序列是(PS)_c序列，并且结合假设条件证明泛函满足(PS)_c条件，最终得到该类方程基态解的存在性。     

基于压缩感知的mMTC系统信道估计

为解决海量机器类通信（massive machine-type communications,mMTC）上行传输中活跃用户设备检测和信道估计问题,提出一种基于分布式多矢量测量的子空间追踪（distributed multiple measurement vector subspace pursuit,DMMV-SP）算法.采用免授权海量随机接入的方案,以降低海量机器类通信的时延和信号开销.考虑多载波传输方案并结合子空间追踪算法,利用接收天线和子载波存在的结构稀疏性,检测活跃用户设备的同时进行信道估计.通过计算检测错误概率以及均方误差对活跃用户设备检测和信道估计性能进行评估.仿真结果显示,提出的DMMV-SP算法相较于传统正交匹配追踪（orthogonal matching pursuit,OMP）算法取得更理想的结果.      

FERE法研究M_xO_y(M=Sc、Ti、V、Cr、Mn、Fe、Co、Ni)形成能

采用密度泛函理论(DFT)中的广义梯度近似法(GGA+U)对氧化物M_xO_y(M=Sc、Ti、V、Cr、Mn、Fe、Co、Ni)进行几何结构优化,然后计算其总能,根据形成能与总能的关系求出它们的形成能,再用FERE(Fitted Elemental-phase Reference Energies)方法对形成能进行修正。结果表明:修正后,每个单胞形成能相对实验值的平均绝对偏差由0.59 eV降低到0.46 eV,其中Ti-O、V-O、Co-O和Ni-O化合物的形成能修正值更接近实验值;而其他元素氧化物的形成能修正值相对于实验值的平均绝对偏差略有增大。     

Efficient broadcast encryption scheme based on number theory research unit

In this paper, a new broadcast encryption scheme is proposed by using the efficient and computationally inexpensive public key cryptosystem NTRU (number theory research unit). In our scheme, we use the idea of RSA and develop this idea from two-party to multi-party, and combine this multi-party public key idea with the multiplication in ring R of NTRU. What we get from this design is extremely efficient encryption and decryption, fast and easy key creation, low memory requirements and revocation property, etc. Moreover, this novel work contains other desirable features, such as traitor tracing. With its complexity only O(log₂ n), the tracing algorithm of this system is more efficient than that of the previous ones.     

二维数组的快速排序算法

在一维数组快速排序算法的基础上，给出了二维数组的快速排序算法，理论分析和大量的数值实验结果表明，其算法的平均计算时间仍然是Ｏ（ｎｌｏｇ２ｎ），一般所需的栈空间仍为Ｏ（ｌｏｇ２ｎ），是有效而可靠的快速排序算法。     

An algorithm for the spectral immunity of binary sequence with period 2<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

To resist the fast algebraic attack and fast selective discrete Fourier transform attacks, spectral immunity of a sequence or a Boolean function was proposed. At the same time, an algorithm to compute the spectral immunity of the binary sequence with odd period N was presented, here N is a factor of 2 ⁿ ? 1, where n is an integer. The case is more complicated when the period is even. In this paper, we compute linear complexity of every orthogonal sequence of a given sequence using Chan-Games algorithm and k - error linear complexity algorithm. Then, an algorithm for spectral immunity of binary sequence with period N = 2 ⁿ is obtained. Furthermore, the time complexity of this algorithm is proved to be O(n).     

符号差类运输问题的多项式时间算法

给出符号差类运输问题的一个多项式时间算法,并证明该算法的时间复杂性是Ｏ（ｍｎ＾２＋ｍ＾２ｎ）。     

基于稀疏谱匹配的高分辨DOA估计方法

针对迭代加权最小二乘类稀疏重构算法性能易受过完备基条件数影响的缺陷,提出了一种基于稀疏谱匹配的高分辨DOA估计新方法.对过完备基进行奇异值分解,采用TSVD方法剔除较小奇异值对应的特征向量,获得一个良态矩阵,并用此矩阵替代的过完备基矩阵,采用l_p范数约束正则化FOCUSS算法进行稀疏重构,解决了因网络划分过细造成的过完备基条件数过大带来的病态问题,并用粗、细两步网格划分来降低算法的复杂度.仿真结果表明,相对于MFOCUSS方法,本文方法不仅具有较低的计算复杂度,而且具有更高的分辨率和噪声鲁棒性.      

Interior-point algorithm for linear optimization based on a new kernel function

In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barrier term. Iteration bounds both for large-and small-update methods are derived, namely, and . This new kernel function has simple algebraic expression and the proximity function has not been used before. Analogous to the classical logarithmic kernel function, our complexity analysis is easier than the other primal-dual interior-point methods based on logarithmic barrier functions and recent kernel functions.     

In situ reaction mechanism of MgAlON in Al-Al2O3-MgO composites at 1700℃ under flowing N2

The Al-Al₂O₃-MgO composites with added aluminum contents of approximately 0wt%, 5wt%, and 10wt%, named as M₁, M₂, and M₃, respectively, were prepared at 1700℃ for 5 h under a flowing N₂ atmosphere using the reaction sintering method. After sintering, the Al-Al₂O₃-MgO composites were characterized and analyzed by X-ray diffraction, scanning electron microscopy, and energy-dispersive X-ray spectroscopy. The results show that specimen M₁ was composed of MgO and MgAl₂O₄. Compared with specimen M₁, specimens M₂ and M₃ possessed MgAlON, and its production increased with increasing aluminum addition. Under an N₂ atmosphere, MgO, Al₂O₃, and Al in the matrix of specimens M₂ and M₃ reacted to form MgAlON and AlN-polytypoids, which combined the particles and the matrix together and imparted the Al-Al₂O₃-MgO composites with a dense structure. The mechanism of MgAlON synthesis is described as follows. Under an N₂ atmosphere, the partial pressure of oxygen is quite low; thus, when the Al-Al₂O₃-MgO composites were soaked at 580℃ for an extended period, aluminum metal was transformed into AlN. With increasing temperature, Al₂O₃ diffused into AlN crystal lattices and formed AlN-polytypoids; however, MgO reacted with Al₂O₃ to form MgAl₂O₄. When the temperature was greater than (1640 ±10)℃, AlN diffused into Al₂O₃ and formed spinel-structured AlON. In situ MgAlON was acquired through a solid-solution reaction between AlON and MgAl₂O₄ at high temperatures because of their similar spinel structures.     

Operational properties and matrix representations of quantum measures

Denoted by M(A), QM(A) and SQM(A) the sets of all measures, quantum measures and subadditive quantum measures on a σ-algebra A, respectively. We observe that these sets are all positive cones in the real vector space F(A) of all real-valued functions on A and prove that M(A) is a face of SQM(A). It is proved that the product of m grade-1 measures is a grade-m measure. By combining a matrix M _μ to a quantum measure μ on the power set A _n of an n-element set X, it is proved that μ ≪ ν (resp. μ ⊥ ν) if and only if M _μ ≪ M _ν (resp. M _μ M _ν =0). Also, it is shown that two nontrivial measures μ and ν are mutually absolutely continuous if and only if μ·ν∈QM(A _n ). Moreover, the matrices corresponding to quantum measures are characterized. Finally, convergence of a sequence of quantum measures on A _n is introduced and discussed; especially, the Vitali-Hahn-Saks theorem for quantum measures is proved.