Second , based on genetic algorithm the design of the metric valve was optimized . in this way the problem that classic method ca n ' t be used because of the lack of analytic expression was solved 其次，应用遗传算法对计量强制阀进行了优化设计，解决了在不能建立解析模型，而只能求出数值解时无法应用传统优化设计方法的问题。
Drive the inverse position equation . based on the differentiation to the inverse position equation , we get the analytic expression of the inverse jacobian matrix " j - 1 " , the expression is the foundation of the research in many performance indexes 建立了机构的位置反解方程，并利用对反解方程进行求导的方法，得到了机构的逆雅可比矩阵j ~ ( - 1 )的解析表达式，这个表达式是分析机构各种性能指标的基础。
4 . the system makes use of spatial analytic expression to analyze pipe - line ' s spatial data and build pipe - line spatial information topology relation . it implements the spatial data to be obtained effectively and to be organized scientifically 利用空间解析式分析结点、管线段的空间几何位置，以及诸元素之间的邻接、关联与包含关系，系统构建出管线空间拓扑关系，实现了空间数据的有效获取和科学组织。
Using this method not only the necessary condition of existence and the approximate analytic expressions of the periodic solutions for primary - harmonic , super - harmonic and sub - harmonic resonances can be obtained , but the criteria of stability for these solutions can also be gained 该方法给出了二阶强非线性非自治系统主谐波共振和超谐波、次谐波共振周期解存在的必要条件，求得了这些周期解的近似解析表达式，并且得出了解的稳定性判据。
This paper deals mainly with some aspects of the latter : the classification of the synthetic experience verb , its experiencer - raising to the subject slot from the object slot , and its meaning - link to the counterparts both with the experiencer as the subject and of the analytic expression 本文主要探讨与后者有关的几个方面：综合型心理动词的分类、感事由宾语位置向主语位置的提升以及这种动词跟感事做主语的动词和分析型表达在语义上的相关性。
At first , according to the fundamental q - switch equation , we analyze the q - switch system , including active q - switch and passively q - switch . we have derived simple analytic expression for all of the parameters of optimally coupled laser by using the mathematical technique of lagrange multipliers 首先我们从速率方程出发对调q激光器的理论进行了分析研究，建立了主动调q和被动调q的理论和q参数的优化设计，并对声光调q以及被动饱和调q的特性和模型进行了优化。
We derive an analytic expression of the group velocity dispersion ( gvd ) induced chirp and the self - phase modulation ( spm ) induced chirp in the normal dispersionregion of non - kerr - like optical fibers with saturable nonlinarity . the evolution of chirp is simulated by numerical methods . the studied results show that the more powerful saturable effects , the smaller is chirp and the gently is chirp . the net chirp is zero in the central region of the pulse 从理论上推导出具有饱和非线性的非克尔光纤正常色散区内，群速度色散效应导致的啁啾和自相位调制效应导致的啁啾解析表达式.利用数值解法模拟了非克尔光纤正常色散区啁啾演变过程.研究结果表明：当非克尔光纤的饱和非线性增强时，净啁啾不断减小，而且，越来越平缓，脉冲中心附近区域净啁啾接近零
In the case that there is only one island that contains an excess electron , we can get the single charge soliton solution of potential distribution in a finite array from the analytic expression we have got . and we find that in the limit of the junction number our result will naturally reduce to the result in the infinite array approximation 当结链中只有一个岛上有剩余电子时，由所得的解析表达式可以得到有限长链中电势分布的单电荷孤子解，并发现当结的数目趋于无穷大时，这个解将自然过渡到无限长链近似下的结果。
Again , the cop of a ferroelectric ericsson refrigeration cycle is calculated in detail and the analytic expressions of the cop for some special dielectric materials which obey curie law , curie - weiss law and other laws are obtained . in chapter iii , the optimal performance of the regenerative ferromagnetic refrigeration cycles is studied 并对铁电埃里克森制冷循环的性能系数进行了详细的计算分析，导出满足居里定律、居里-外斯定律和其它特殊关系的电介质的埃里克森制冷循环的性能系数的解析表达式。
Taking erectophile type continuous vegetation as a example , authors had done many monte carlo simulations , and established empirical analytic expressions of radiances with component temperature , soil emissivity and leaf area index . empirical analytic expressions were used to construct objective function and genetic algorithm was employed to synchronously retrieve 5 parameters , such as component temperature , soil emissivity and lai , from thermal infrared 2 channels and 2 angles data . many experiments of genetic algorithm inversion from simulated data were conducted , results show that it is very robust to retrieve component temperature using genetic algorithm ; genetic algorithm can cope with uncertainty inversion problem pretty well if full advantage of priori knowledge was taken . comparison between inversion results and ground - truth data has been done . this paper offers a new example to retrieve component temperature from multi - channel , multi - angle thermal infrared data based on the model of directionality of thermal radiance 在热辐射方向性规律的基础上，以喜直型连续植被为例，进行了大量的monte carlo模拟，建立了辐射亮度和组分温度植被叶面积指数及土壤比辐射率之间的经验函数关系。采用遗传算法，从热红外2个波段2个角度数据中，同时反演混合像元组分温度土壤比辐射率和叶面积指数等5个参数。通过对模拟的观测数据进行大量的遗传算法反演试验，结果表明，遗传算法反演组分温度非常稳健，在宽松的先验知识条件下，遗传算法可以解决不确定性反演问题。
