分析6000组人类DNA序列的碱基分布

分析了 6 0 0 0组人类DNA序列的碱基分布 ,根据DNA碱基的立方体和它的内接正四面体的对称性结构和三维塞尔宾斯基铺垫的一级结构补形的共同点 ,提出了人类DNA序列的碱基分布为边长是 6 4的正八面体 ,并且和Zhangetal.以前提出的半径为 1 4的球分布作了详细的比较 ,证明了本文的结论具有一定的合理性     

菲波那契数列建模与高等数学教学

从数学建模角度分析了菲波那契数列的形成过程,并对模型进行了推广.分析了此数列的单调性、具体表达式、极限、与幂级数的关系,以及菲波那契数列的数学美特征.论述了菲波那契数列在高等数学教学中的方法论价值.     

Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres

Six exact solutions (related to the conservation of number, energy and momentum) of the linearized Boltzmann equations for a binary mixture of rigid spheres, for the case of isotropic scattering in the center-of-mass system, are reported. The verification of the reported exact solutions (collisional invariants) is based on a recently reported explicit formulation of the linearized Boltzmann equation for a binary mixture of rigid spheres. Elementary analysis is used also to establish a basic flow condition.     

水声通信中的编解码及其快速算法的研究

本文针对在水声通信中使用m序列作为编码形式的扩频通信系统进行研究。分析扩频码的产生和序列特点，给出的编码序列搜索，信息解码的解码方法。对其中相关运算给出了快速算法，解决了运算中的瓶颈问题，极大的提高了运算速度，并对长序列的快速相关进行初步探索。     

The relativistic energy spectrum of hydrogen

The exact eigenfunctions of the spin‐orbit‐coupling operators for a relativistic binary system are calculated. Concerning the eigenvalue problem and the radial part of the wavefunction of the bound state, we provide corrections for our previous calculations [1] that contained some sign errors.     

Study of superconducting state parameters of alkali–alkali binary alloys by a pseudopotential

A detailed study of the superconducting state parameters (SSP) viz. electron–phonon coupling strength λ, Coulomb pseudopotential μ^*, transition temperature T_C, isotope effect exponent and effective interaction strength N_OV of ten alkali–alkali binary alloys i.e. Li_1−xNa_x, Li_1−xK_x, Li_1−xRb_x, Li_1−xCs_x, Na_1−xK_x, Na_1−xRb_x, Na_1−xCs_x, K_1−xRb_x, K_1−xCs_x and Rb_1−xCs_x are made within the framework of the model potential formalism and employing the pseudo-alloy-atom (PAA) model for the first time. We use the Ashcroft’s empty core (EMC) model potential for evaluating the superconducting properties of alkali alloys. Five different forms of local field correction functions viz. Hartree (H), Taylor (T), Ichimaru–Utsumi (IU), Farid et al. (F) and Sarkar et al. (S) are used to incorporate the exchange and correlation effects. A considerable influence of various exchange and correlation functions on λ and μ^* is found from the present study. Reasonable agreement with the theoretical values of the SSP of pure components is found (corresponding to the concentration x = 0 or 1). It is also concluded that nature of the SSP strongly depends on the value of the atomic volume Ω₀ of alkali–alkali binary alloys.     

On the weak uniform convexity of

We will discuss the geometry of the unit sphere in the Banach space of integrable holomorphic quadratic differentials on a Riemann surface and answer some questions posed by L.R. Goldberg (Proc. Amer. Math. Soc. 118 (1993), 1179--1185).

     

一类无穷矩阵代数的乘法序列连续性

设λ，μ是两个序列空间并有符号弱滑脊性，（λ，μ）是变换λ进入μ的无穷矩阵算子所成的无穷矩阵代数，本文研究了这类代数的强，Mackey、弱乘法序列连续性问题。     

基于二次剩余序列的扩散吸声体的研究

本文对基于二次剩余序列的声学结构的吸声性能进行实验研究，并定性分析了它的吸声机理．研究表明，除了结构振动所产生的损耗之外，更重要的吸收源是结构表面由于声干涉所形成的附加声阻抗的影响．     

电子商务安全要求及安全中的时间认证问题

论述了电子商务系统安全要求、安全中的时间认证、电子商务系统安全的三个基本要求，提出了一种加入时间量的安全认证体系，讨论了新出现的问题，及解决方法.