系统函数

A predator model with refuge and toxicity is studied. By constructing a suitable Dulac function, it is shown that there is no limit cycle in the first quadrant, thus the globally stability of the equilibrium is proved. Further more, the paper analyzes the influence of refuge, toxicity and harvesting. It is amazing that ① if the death rate of predator is big or the harvesting effort is big, the existence of the predator is unrelated with refuge; if the death rate of predator and the harvesting effort are small, and the refuge is small enough, the population of both species is increased as the increase of refuge;② if d2=0, the increase of d1 has no influence on the prey population, while the population of predator is decreased.

研究一类有避难所、毒素作用和外界捕获影响的捕食系统，通过构造恰当的Dulac函数，证明系统在第一象限没有极限环，从而证明了平衡点的全局稳定性；分析了避难所、毒素、捕获作用对该系统最终种群数量的影响，发现：①当捕食者的死亡率大或其被捕获得多时，两种群的绝灭与避难所的存在无关；当捕食者的死亡率小、被捕获得多且避难所足够小时，随着食饵避难所的增加，捕食者种群数量也随之增加；②当毒素d2=0时，毒素d1的增加对食饵种群最终数量没有影响，而使捕食者种群数量下降。

In the second part, we have considered the polariton system described by the model effective Hamiltonian involving single mode photon field interacting with a transverse optical phonon in a more realistic form. On this basis, we have discussed the dynamical evolution of the wave function , the dynamical variables and the non-classical properties for the system in a analytic form for the first time.

第二部分将极化激元系统约化成模型单模光子—横向声子有效相互作用系统，在此基础上以解析形式首次讨论了系统的波函数、力学量和压缩态、亚泊松分布等非经典效应的动力学演化行为。

The singular distributed parameter system can be converted to a singular system by using the eigenvector function method.

首次研究了广义分布参数系统的不变性条件，利用特征向量函数法将广义分布参数系统化为一广义系统，证明了它们的不变性条件是等价的，同时也指正了某些文献个别结论和证明

Choosing reliability simulation data as a sample, the parameter confidence interval as coding space and the reciprocal of errors between empirical distribution function and acquired distribution function as a fitness function, the point estimation model of age distribution is established based on the genetic algorithm, and the reliability function of complex systems is acquired.

以可靠性仿真数据为寿命样本，待估计参数的置信区间为编码空间，以经验分布与所求分布误差倒数为适应度函数，建立了基于遗传算法的寿命分布参数点估计模型，求得了复杂系统可靠度函数。

Mathematica definition of the entire system function all, it function is of such a nature.

所有Mathematica系统内部定义的整函数、实函数也具有这样的性质。

This paper describes a feasible calibration method, its basic principle for calibrating is: A certain function relationship is existed in equivalent inductance L of coil and the distance x between the object to be measured and the sensor coil, the measurements can be conducted with this function relationship by using frequency modulation. The calibrating system consists of measuring electric circuit, high stable voltage power supply, digital frequency meter, the conductor to be measured and the calibrated displacement sensor.

文中叙述了一种较为可行的标定方法，其标定的基本原理为：线圈的等效电感L和被测物体与传感器线圈的距离x存在一定的函数关系，利用这种函数关系用调频法进行测量，标定系统由测量电路、高稳定度稳压电源、数字频率计、被测导体及被校位移传感器组成。

Power system ; Harmonic analysis ; Artificial neural network ; Convergence theorem ; Fast Fourier transformation ; Triangle base functions ; Window functions

电力系统；谐波分析；人工神经网络；收敛定理；快速傅立叶变换；三角基函数；窗函数

Firstly,the filiation Markov iterated function systems is defined,and a MIFS system is broken down into several filiation systems.

首先提出了分支Markov迭代函数系统的概念并将MIFS系统分解成若干分支系统，给出和证明了几个相关定理。

The product of Fourier series and a finite sum of complex Gaussian functions is used to approximate the window function of a hard-edged aperture, an improved algorithm for the beam propagation through a paraxial ABCD optical system with hard-edged aperture is proposed.

使用傅里叶级数与有限个复高斯函数之和的乘积作为硬边光阑的窗口函数的近似式，提出了含硬边光阑近轴ABCD光学系统对光束变换的改进算法。

With aperture expanded as the sum of finite complex Gaussian terms, a more practical approximate analytical solution of fractional Fourier transform of Gaussian beam in an apertured paraboloid refracting system is obtained and also numerical investigation is presented.

通过将孔径函数展开为有限项复高斯函数之和，得到了高斯光束在受孔径约束的抛物面折射系统中分数傅里叶变换较符合实际的近似解析表达式，并进行了数值模拟。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。