高阶线性微分方程解的角域增长性

假设A0,A1,…,Ak-1在某个角域内解析,讨论高阶线性微分方程,f(k) Ak-1f (k-1) … A1f' A0f=0在特定角域内解的增长性和渐近性,改进了一些结果.     

Image recovery from double amplitudes in fractional Fourier domain

The classical Gerchberg--Saxton algorithm is introduced into the image recovery in fractional Fourier domain after adaptation. When this algorithm is applied directly, its performance is good for smoothed image, but bad for unsmoothed image. Based on the diversity of fractional Fourier transform on its orders, this paper suggests a novel iterative algorithm, which extracts the information of the original image from amplitudes of its fractional Fourier transform at two orders. This new algorithm consists of two independent Gerchberg--Saxton procedures and an averaging operation in each circle. Numerical simulations are carried out to show its validity for both smoothed and unsmoothed images with most pairs of orders in the interval [0, 1].     

The non—local implementation of a CNOT gate and single—qubit rotation

We show how a CNOT gate and single-qubit rotation can be implemented non-locally,We also report on the quantitative relations between these quantum actions,entanglement and classical communication resources required in the implementation.     

Directed Evolution of L-Aspartase by Mobility of Domains

To enhance the relative movement of domains, we inserted a random sequence of fifteen-peptide into the three domains of L-aspartase. By means of directed screening, the three isoforms of monomeric, dimmeric and tetrameric enzymes were obtained. Compared to the wild-type tetrameric L-asparease, these mutants remained 19. 7%, 42.3%, and 92% of the enzyme activity, respectively. Moreover, the examination of enzyme properties revealed that their kcat, and KM changed in varying degrees, and the optimum pH shifted towards acidic pH, while the dependence of the activity of enzyme on Mg^2 concentration and thermostability increased. Therefore this strategy provides a novel approach to directed evolution of enzymes.     

HIGH ACCURACY NUMERICAL METHOD OF THIN－FILM PROBLEMS IN MICROMAGENETICS

In this paper,a new high accuracy numerical method for the thin-film problems of micron and submicron size ferromagnetic elements is proposed,For the computaion of stray field,we use the finite element method(FEM) by introducing a semi-discrete artificial boundary condition [1,2],In our numerical experiments about the domain patterns and their movement,we can see that the results are accordant to that of experments and other numerical methods.Our method are very conveient to deal with arbitrary shape of thin films such as a polygon with high accuracy.     

第三类典型域的Busemann函数

本文利用第三类典型域测地线的矩阵形式算出其Busemann函数。     

有界对称域上的对角映射

文研究加权Bergman空间     

A~2(Ω,dV_α)空间上Schatten类复合算子

让Ａ２（Ω,ｄＶα）表示Ｌ２（Ω,ｄＶα）中的解析函数的全体,它是Ｌ２（Ω,ｄＶα）的闭子空间．本文研究了Ａ２（Ω,ｄＶα）上的具有符号ｂ的复合算子Ｃｂ．得到了这种复合算子属于Ｓｃｈａｔｔｅｎ－Ｖｏｎ Ｎｅｕｍａｎｎ理想Ｓｐ的几个充要条件．     

表特殊线性群中元素为平延换位子之积

考虑元素了数大于3的域F上的特殊线性群SLnF.对GLnF中任一矩阵A,记resA为A－I的秩,称矩阵A为平延,如果resA=I并且 detA=1,对n≥2,本文证明SLnF中任一矩阵都可写成不超过[resA/2] 2个平延换位子之积。     

解等式约束优化的既约Hessian依赖域方法

本文提出了解等式约束优化的一个信赖域方法,该方法以既约Hessian逐步二次规划为基础,它享有信赖域方法与既约Hessian方法的优点,在通常条件下,证明了算法的全局收敛性。