m-continued Fraction Expansions of Multi-Laurent Series

The simple continued fraction expansion of a single real number gives the best solution to its rational approximation problem. A multidimensional generalization of the simple continued fraction expanding procedure is the Jacobi-Perron algorithm (JPA). This algorithm and its     

中国工程概率统计学会2001年学术大会简报

中国工程概率统计学会2001年学术大会于2001年7月22日－25日在苏州举行,来自全国各高校的60多名代表出席了会议。中国现场统计学会副理事长杨振海教授出席了会议,参加这次会议的既有学会的创始者、工程概率的开拓者、德高望重的老一辈专家学者林少宫教授等,也有承上启下、年富力强、目前工作在科研教学第一线的中青年学者,还有充满朝气年轻一代的研究生。     

Cycle of Black Hole Spin due to Disc Accretion Alternating with Magnetic Transfer

The cycle of black hole (BH) spin proposed by Li and Paczynski (henceforth CYCLP) is compared with a more naturad model (henceforth CYC03), in which energy and angular momentum are transferred from a rotating BH to a region of some widths by the closed magnetic field fines. It turns out that the efficiency of converting theaccreted mass into the radiation energy in the CYC03 is less than that estimated in the CYCLP, while the BH mass and entropy in the CYC03 are greater than those in the CYCLP. It is shown that the features of the CYC03 are insensitive to the power-law index indicating the variation of the magnetic field in the disc.     

Resonance-Radiation Force Exerted by a Circularly Polarized Light on an Atomic Wave Packet

We study the behaviour of an atomic wave packet in a circularly polarized light, and especially give the calculation of the radiative force exerted by the circularly polarized light on the atomic wave packet under the resonance condition. A general method of the calculation is presented and the result is interesting. For example, under the condition that the wave packet is very narrow or/and the interaction is very strong, no matter whether the atom is initially in its ground state or excited state, as time approaches to infinity, the resonance-radiation force exerted by the light on the atom approaches to zero. If the atom is initially in its ground state and excited state with the probability 1/2 respectively, and if the momentum density is a even function, then the resonance-radiation force exerted by the light on the atom is equal to zero.     

Forward-backward热方程差分逼近的直接算法

通过利用区域分解技术和并行算法的思想，把原问题分解为几个完全独立的子区域上的问题，并直接并行求解，然后把这些解作适当的线性组合，得到原问题的解，给出了Forward-backward热方程差分逼近的直接算法。     

双向滤波法去除瞬态诱发耳声发射检测中的刺激伪迹

在瞬态诱发耳声发射信号检测中,去除刺激伪迹最传统的方法是“引出的非线性响应”法。但因其赖以成立的假设条件无法精确成立,会造成明显刺激伪迹残留,限制了对与刺激伪迹有重叠的短潜伏期高频耳蜗响应的检测。窗函数法和小波变换方法可在一定程度上减少刺激伪迹残留,但仍未解决对高频响应的检测问题。本文提出了双向滤波法去除刺激伪迹,避免了滤波时刺激伪迹影响后传的趋势。物理模拟实验及106例瞬态诱发耳声发射信号实测结果表明:与现有方法相比,该方法可进一步减少刺激伪迹残留,拓展不受刺激伪迹污染的信号区间;并能检测出潜伏期更短、强度更大的高频瞬态诱发耳声发射信号。同时,该方法简便易行,便于在实时检测系统中实现。     

Manakov型非线性Schrdinger方程的Jacobi椭圆函数包络解

简化了扩展的Jacobi椭圆函数展开法 ,亦即对修正的Jacobi椭圆函数展开法进行了扩展 .把这种方法应用于Manakov型非线性Schr dinger方程 ,得到了Jacobi椭圆函数包络解 .在一定条件下 ,这些解退化成相应的包络冲击波解和包络孤立波解 .     

水中甲磺隆的气相色谱分析研究

采用微量液-液分配技术提取水样中的甲磺隆，气相色谱法进行分析。该方法简便快速、结果准确、节省溶剂，具有很大的实用价值，是检测甲磺隆的重要方法。     

自适应时间比例同步算法

本针对现有的时间比例同步算法具有时间比例固定、系统运行效率低、易导致系统中消息因果关系不正确的特点，运用模糊控制方法来动态调整系统运行的时间比例，设计了一种自适应时间比例同步算法，尽量减少仿真中不合理的现象，提高系统的运行效率。     

银原子团簇在带电硅油基底表面的扩散行为

研究了银原子团簇在均匀带电硅油基底表面扩散的动力学过程.数值求解结果表明:在液体基底中心区域,电场强度大小近似与矢径r值成正比,方向与矢径r相反.在该电场的作用下,带电银原子团簇的径向速度随矢径r近似线性增加,从而求得团簇数密度随时间呈指数规律衰减,所得结果与实验事实相符.通过计算还发现银原子团簇直径在10-6m数量级范围内,其中的银原子对电子的亲和能不随团簇直径的变化而变化.