非线性回归模型参数估计的一个新算法

近年来,非线性回归的研究受到极大的重视.Ratkowsky(1983)总结了非线性回归分析的近代发展,著成专著.韦博成从微分几何的观点对非线性回归分析作了处理.究其原因,一方面因为线性回归分析的研究已臻完善;另一方面因为在实际应用时,非线性情形遇到最多,如由物理,化学,生物,地学等学科的实验所得到的模型几     

利用重要不等式求函数最值应注意的几个问题

利用重要不等式求函数最值应注意的几个问题４３００６１湖北省武昌实验中学张天雄利用重要不等式求函数的最大（或最小）值，同学们常常犯下述五个方面的错误：１忽视了正数这一条件例１求函数的值域．错解．函数的值域是［２，＋∞）．分析不等式成立的条件是ｘ＞０，而...     

基于频域方法的三维物体分层重现

基于频域方法实现了数字记录和再现三维物体离轴全息图.通过频谱对应关系求得各个面的频谱分布,使用数字滤波方法,成功地消除了零级衍射和共轭像;通过改变再现距离,分别获取了三维物体各个截面的再现像.     

Duration-Dependent Asymmetry in Photoionization of H atoms in Few-Cycle Laser Pulses

The photoionization of H atoms irradiated by few-cycle laser pulses is studied numerically. The variations of the total ionization, the partial ionizations in opposite directions, and the corresponding asymmetry with the carrier-envelope phase in several pulse durations are obtained. We find that besides a stronger modulation on the partial ionizations, the change of pulse duration leads to a shift along carrier-envelope （CE） phase in the calculated signals. The phase shift arises from the nonlinear property of ionization and relates closely to the Coulomb attraction of the parent ion to the ionized electron. Our calculations show good agreement with the experimental observation under similar conditions.     

High Power One- and Two-Order Cascaded Raman Lasers Based on Home-Made Phosphosilicate Fibre

One- and two-order cascaded Raman fibre lasers are demonstrated by using home-made P-doped Raman fibres.An output power of 2.8 W at 1245 nm with a slope efficiency of 33.4% and an output power of 2.0 W at 1495 nm with a slope efficiency of 23.5% are obtained with the pump source at 1069. 7nm.     

Transmission Properties of THz Radiation Pulses through Very Deep Zero-Order Metallic Gratings

Very deep zero-order metallic grating structures are processed to study the transmission properties of THz radiation pulses. The experiments have been performed with two samples. The delay of the THz pulses and the corresponding resonantly enhanced transmission spectra through the samples are observed. To explain the extraordinary transmission we have treated the samples as Fabry-Perot resonators through resonant excitation of the coupled surface plasmon polaritons filled in the cavities between the metal slats. The experimental results are in reasonable agreement with the numerical simulation. Our results show that THz-time-domain spectroscopy may be an effective technique for studying the optical properties of various THz microstructured devices.     

Elimination of Spiral Waves and Competition between Travelling Wave Impulses and Spiral Waves

The interaction between travelling wave impulses and spiral waves is studied and the results of their competition are related to the exciting period. From the results, it is known that the formation and development of spiral waves in cardiac tissue depend on the period by which the travelling wave impulses are excited. A method is proposed to eliminate spiral waves, which is easily operated.