退化时滞差分系统的通解

讨论具有时滞的退化差分系统，给出其初始函数的相容性条件，并给出其通解，最后举例说明之．     

由路段交通量推算OD矩阵的一种有效方法及其应用

针对现有OD矩阵估计方法的不足，本讨论了一种新的有效的估计方法，它包括一个路段流量的预处理过程，以消除路段观测流量的不相容，然后经过流量加载和卸载两个逆过程，进行反复迭代，最终得到再现路段交通量的OD矩阵，中例证了该方法的有效性。     

Alternating-Sign Matrices and Domino Tilings (Part II)

We continue the study of the family of planar regions dubbed Aztec diamonds in our earlier article and study the ways in which these regions can be tiled by dominoes. Two more proofs of the main formula are given. The first uses the representation theory of GL(n). The second is more combinatorial and produces a generating function that gives not only the number of domino tilings of the Aztec diamond of order n but also information about the orientation of the dominoes (vertical versus horizontal) and the accessibility of one tiling from another by means of local modifications. Lastly, we explore a connection between the combinatorial objects studied in this paper and the square-ice model studied by Lieb.     

非对称Abel逆变换研究及其在等离子体辐射功率分析中的应用

一、引言 在实验等离子体物理中,常遇到测量量是待求物理量沿等离子体截面弦的线积分值,为待求量,L为弦长。从测量到的I(x)值,求出i r值的Abel逆变换,在等离子体诊断的数据处理中得到了广泛应用。 在假定等离子体截面为中心对称的前提条件下,人们对Abel逆变换方法做了很多的研     

GaAs体材料及其量子阱的光学极化退相特性

采用飞秒时间分辨瞬态简并四波混频技术，在室温下测量了GaAs体材料及其量子阱材料GaAs/Al_0.3Ga_0.7As的光学极化超快退相时间，当激光中心波长为785nm，受激载流子浓度为10¹¹cm^-2时，它们的退相时间分别为28fs和46fs.量子阱材料的退相时间比体材料的长，这是由于量子阱中的载流子在垂直于GaAs/AlGaAs界面的运动受到限制，运动呈现二维特性，大大减小了载流子的散射概率.实验中观察到瞬态简并四波混 关键词： 时间分辨简并四波混频 飞秒激光脉冲 退相 密度矩阵     

恰有t行含对称正元的布尔方阵的幂敛指数的估值

设Ｄｎ，２（ｔ）为恰有ｔ行含对称正元的ｎ阶布尔方阵的集合，２≤ｔ≤ｎ。本文证明了，对于任给Ａ∈Ｄｎ，２（ｔ），幂敛指数ｋ（Ａ）≤∫（ｎ－ｔ－１）＾２＋１，３ｎ－ｔ－２，当ｔ≤ｎ－［３＋√８ｎ－７／２］当ｔ〉ｎ－［３＋√８ｎ－７／２］，这里［ｘ］表示不小于ｘ的最小整数。同时，我们还证明了这个界是可以达到的，并且对Ｄｎ，２（ｔ）的极矩阵集合作了部分刻划。     

Asymptotic Spectra of Dense Toeplitz Matrices Are Unstable

The paper is concerned with the limiting set of the eigenvalues of the truncations of an infinite Toeplitz matrix whose symbol is continuous but not rational. This limiting set is shown to be unstable with respect to small perturbations of the symbol in the uniform norm, which reveals that the numerical computation of the asymptotic spectra of dense Toeplitz matrices is a genuine mathematical challenge.     

一类n维非球谐振子势的精确解

严格求解一类n维非球谐振子势的定态薛定谔方程，获得了归一化径向波函数和能谱的 精确解.在此基础上导出径向矩阵元r,L_n｜r^s｜n′ ₄,L′_n>的通项公式. 关键词： n维非球谐振子 精确解 径向矩阵元 通项公式     

云纹的矩阵分析

本文定义了三类光栅的光线变换矩阵，并用所给矩阵分析了云纹.所得结果和文献所给出的结果一致.     

Correspondence Between Bell Bases and Oriented Links in Knot Theory

From the comparison of correlation tensor in the theory of quantum network, the Alexander relation matrix in the theory of knot crystals and the identical inversion relations under the action of Pauli matrices, we show that there is a one to one correspondence between four Bell bases and four oriented links of the linkage 41 in knot theory.