When awg regarded as space unchanged linear system , an analytical solution of out - waveguide field is obtained by using the impulse response function . the crosstalk transformation on account of apertometer and waveguide spacing is also obtained by numerical calculation 本文还将awg视为空间不变线性系统，使用点扩展函数的方法，求出awg系统输出分布的解析式，通过数值计算得到串扰与数值孔径及其波导间距的关系。
I achieve approximately the increment of sound level in sound focusing region relative to sound incidence ( ? lpc ) , and make ascertain the sound pressure level in focusing region accurately . through draw the curve of wrap - up line equation with matlab program of computer software 文章最后总结出本文理论分析所得的几个解析式和避免声聚焦的设计原则，同时在理论和实验上提出今后研究其它构造时的一些方法和方向。
Based on the model of a three - phase hybrid stepping motor , the torque expression is deduced . the effect of subdivided driving on operating performance is analysed . it is illustrated that sine wave subdivided driving can make stepping angle and torque equal 本文以三相混合式步进电动机数学模型为基础，推导出其转矩解析式，分析了细分驱动对于改善步进电动机运行性能的作用，论述了正弦波细分驱动可以实现等步距角、等力矩均匀细分驱动的原理。
In chapter 2 , the frame of the structure system of sustainable development strategies is built up , the logical relation and the process inside the structure system is analyzed , and using the function analysis types , the inherent relation between the chief essential factors and the total ability of the sustainable development of changjiang river basin is explained 第二章建立了长江流域生态经济系统可持续发展战略的结构体系的框架，对结构体系内部流程和逻辑关系进行了分析，并运用函数解析式阐释了长江流域可持续发展的总能力与系统主要要素之间的内在关系。
The influences of thermal effect of an axis on its design precision were discussed and the temperature distribution of a rotating axis was obtained by the conventional heat transfer equations that needed a complex solving procedure and gave a blurry distribution rule 摘要考虑了热对提高轴类件设计精度的影响，并通过传统导热微分方程法和一般传热学理论对主轴在运动时热分布进行了分析，指出了传统热微分方程解法复杂，从解析式中难以看出温度分布规律，运用传热学理论解法简单明? ，结果易于反映各参数关系，精确度较高，实用性强。
Based on this , through a lot of yeast , e - polylysine ferment experiments and analyzing the data , comprehend the universality rule of animalcule ferment ; advanced soft - measure model , estimate the parameter non - measurable online , including the parse model based main - regression analyze , the ann model based ann arithmetic . guide the fed - batch control and environment parameter by the optimized track . to advance the last gain , identify the fermentation phase 在此基础上，经多次酵母发酵实验、聚赖氨酸发酵实验及对大量实验数据的分析，深入了解了微生物发酵的一般性规律；建立了微生物发酵过程的软测量模型，对不可在线测量的生物参数进行估计，包括由主元回归分析得到的解析式模型，由神经网络算法得到的神经网络模型。
First , because pipelines are so complex that controlled object is high order , delay , coupling , nolinear and time - varing , it is difficult to realize closed loop control for it using valid mathematic model . to resolve this problem , the paper presents a fuzzy - pid control algorithm with self - adjusting regulation factor . second , if a moving motor supplied by inverter power is switched to be supplied by power supply , the impact of overload - voltage and overload - current appears 主要针对中、大容量供水系统中，由于供水管网铺设复杂、弯管多、控制对象具有高阶、滞后、耦合、非线性及参数时变的特点，难以利用有效的解析式数学模型进行闭环控制，以及多台水泵并联运行时，水泵电机由变频电源供电向工频电源供电切换过程中产生的过电压过电流冲击这两个难题，提出了可调整因子fuzzy - pid控制算法及利用锁相环控制实现水泵电机由变频电源向工频电源的同频同相平滑切换。
Based on the theoretical expression of the average intensity in the fourier transforming and imaging optical system with variable aperture , an algorithm is developed to change the intensity data versus the aperture radius into the bessel - fourier - transform - and - the - inversion of a function of the height - height correlation function . three samples of gaussian correlation are used for the experimental demonstration 在理论分析和实验测量中，我们采用了变孔径的傅立叶变换和成像系统，由所得到的像面光强的解析式，建立了将平均光强随孔径的数值变化关系转化为正逆傅立叶变换对，从而恢复出表面的高度?高度相关函数。
Quantum capture is a complicated process and capture time computation and experiment test are provided . it is difficult to ascertain carrier ' s transportation and distribution in multiply quantum wels and tunneling time and heating emitting time computations are also provided . optical gain whose formula is complicated is a critical parameter and it is useful for structuring model to obtain a concise formula by means of experiment curve 详细说明了确定半导体激光器速率方程的一些重要参量的方法，如：载流子在三维sch区的输运行为对激光器的调制特性有较大影响；量子阱对载流子的捕获是一个复杂的过程，文中给出了量子捕获时间的计算方法以及实验证明；多量子阱中载流子输运与分布也是相当复杂的问题，文中给出了隧穿时间与热发射时间的计算方法；光增益是关键的参量，它的解析式相当繁琐，由实验曲线拟合其较为简明的经验式，对定模工作是有利的。
And gave priority to the eular - bernonulli beam model , the simply and convenient analytical resolution for the response of the pipelines under dynamical traffic loads through the impulse function and the congruence method of the vibration form and so on . during the analysis of the chanmical results of the pipelines , the randomicity of the output of the pipelines response was taken into accout . so the stochastic process method was applied to describe the probability characters of the pipelines response , which made the results truer , more veracious 本文采用eular - bernonulli梁模型和tomosimko梁模型对动力下kelvin粘弹性地基中管道固有振动性状进行了分析，提出了各力学结果描述的解析式；并以eular - bernonulli梁模型为主，基于脉冲函数、振型迭加法等对管道在动力交通荷载作用下的管道响应问题提出简单便捷的解析算法；在管道受力结果的分析中，考虑管道响应输出的随机性，将管道响应用随机过程来描述其概率特征，使得结果描述更加真实准确。
