Based on the duncan - chang e - b model , which can simulate earth - rock dam ' s non - linear mechanics behavior well , the paper introduced the nature coordinate system to the stress space . in this way , hydrostatic stress and stress deviator were decomposed each other . therefore , a partial derivative formulation about displacement and parameter in finite element evaluation was derived in a closed form 论文以能较好模拟土石坝非线性力学行为的duncan - change - b模型为基础，通过引入应力空间下的自然坐标系，分解应力球量与应力偏量，从而导出一个在有限元计算中，位移对参数偏导数的闭合形式公式。
At first , we took the kdv equation and the kdv - burgers equation as examples to point out the fact that it is not necessary to obtain the value of the order of solitary wave solutions by equating the highest nonlinear term and the highest - order partial derivative term in this method . meanwhile , we obtained some exact solitary wave solutions of the kdv - burgers equation 首先以kdv方程和kdv - burgers方程为例，指出在该方法中，孤立波解的阶数通过平衡非线性方程的非线性项和最高阶导数项得到是不必要的，同时也得到了kdv - burgers方程的两组精确解。
Secondly , according to the requirement of the parametric sensitivity analysis , the method based on orthogonal experiment is chosen to cope with the difficulty of obtaining the sensitivity analysis through the partial derivative of explicit function . and it also overcomes the traditional single factor cyclical method ' s shortcoming ? impossibility to analysis interactional factors . furthermore , some significative conclusions are acquired from the sensitivity analysis 其次根据轨迹优化问题灵敏度分析的需要,选取基于正交试验的灵敏度分析方法,解决了轨迹优化问题没有显函数,无法通过求其偏导数获得灵敏度的难点,同时克服了传统的单因素轮换法对该类问题进行灵敏度分析带来的弊端? ?无法对有相互作用的因素进行灵敏度分析,并通过对轨迹优化问题进行灵敏度分析,得出了一些有益的结论。
Some theoretical extensions are first made in this paper , with the following concepts , theorems and models presented - partial derivative and high - order partial derivative of waveform polynomial for describing the relation between input transitions and output transitions and redefining circuit sensitization ; the concept of waveform polynomial vector for describing a circuit with multiple inputs and outputs , especially for the unified description of circuit modules ; a sensitization theorem for sequential circuits for the purpose of exact timing ; theorems for transition numbers in circuits used to solve problems on noise , power consumption and etc ; waveform polynomial description for sequential circuits used to give a unified form for the function and timing behavior of a sequtial circuit ; and a data structure of generalized list for the representation and manipulation of waveform polynomial 波形多项式偏导和高阶偏导的新概念，用来精确描述输出跳变与输入跳变之间的关系，并在本文中用来重新定义了电路的敏化和冒险；波形多项式向量的概念，用于形式化描述实际中的多输入多输出的电路，特别是用于统一描述电路模块的功能及定时行为；时序电路的敏化定理，用于时序电路精确定时分析；波形多项式描述跳变及跳变数的定理，用于噪声、功耗等问题的描述；时序电路的完整波形多项式描述，用于时序电路功能和定时行为的统一描述；波形多项式的多项式符号表示和运算的模型以及数据结构，用来实现对波形多项式比较有效的描述和运算。
According to the characteristics of tv - guided bombs , we put forward tv - guided image tracking algorithms and adaptive updating algorithms for templates based on partial derivative correlation function - then we designed a partial derivative correlation tracker and carried out simulation test for a group of gray - scale images 摘要针对电视制导炸弹的特点，提出一种基于偏导相关函数的电视图像跟踪算法和模板自适应更新算法，在此基础上设计出偏导相关跟踪器并对一组灰度图像进行仿真试验。
Besides , i also bring forward a kind of variable vector distance membership function ? auss distance membership function . for the convenience of using the distance membership function , i also get the general formula of partial derivative according to the parameter . chapter 5 : using nts fis to model the cart - pole system and compare the result when using anfis 作为对ntsfis建模的补充，提出了一种基于变量向量的距离隶属函数? ?高斯距离隶属函数mgaussmf ( ； ， _ 0 ， ) ，并推导出了高斯距离隶属函数mgaussmf ( ； ， _ 0 ， )对其参数求偏导的一般公式。
Abstract : in order to solve the double parameters enveloped in the geartooth flank generating , the complicated double parameter envelope is simplified to the generating process between work - piece and imaginary crown generating gear by means of mathematical transformation . the equation of the imaginary crown generating surface and the partial derivatives are deduced , so the differential geometric parameters of the generating surface can be obtained . by analyzing the generating motion between the imaginary crown generating gear and the work - piece , all the first to third order geometric parameters of the generated tooth flank at any given point can be calculated 文摘:为了解决直接求解展成法加工中存在的复杂双参数包络问题时的困难，提出通过数学变换，将此包络问题转化为假想平面产形轮与工件之间的展成问题来进行研究.推导了假想产形面的方程和各阶偏导矢，于是可获得产形面的微分几何参数.通过分析假想平面产形轮与工件之间的展成运动，即可得到被展成齿面上任意指定点的全部一至三阶微分几何参数
To the large - scale atmosphere , we separate the terms of the horizontal vorticity converting into the vertical vorticity , which considered as the baroclinic terms , from the terms that not including horizontal vorticity by the rules of the p coordinate transforming to the z coordinate in the traditional vorticity equation , and carry out the scale analysis , and then conclude that the baroclinic terms are able to reach the same magnitude grade as the partial derivative of the vertical vorticity to time when it takes place the large scale precipitation in the summer monsoon period in china . by analyzing the game reanalysis data from april to august in 1998 in the region of chinese continent , we found that the baroclinic terms is important to the large - scale cyclone developing above the 600hpa , and the magnitude changing of the baroclinic terms is nearly in - phase as the monsoon movement , so which imply exactly that the magnitude changing of the baroclinic terms is the one of the natural characters of the summer monsoon evolution and equivalent to the movement rule of the subtropical high of the western pacific 在p坐标垂直涡度方程中，利用p坐标向z坐标转换的公式将水平涡度向垂直涡度转化的所有项分离出来，这些项具有明显的斜压特征，对其进行尺度分析后，得出在可以忽略潜热释放对涡度影响的对流层中、高层，此转化项是大尺度斜压涡度发展的重要项。通过对1998年48月的game再分析资料进行实际计算也发现，转化项在东亚夏季风上升支的600hpa及以上层次对垂直涡度的局地变化贡献很大，不能忽略。同时发现水平涡度向垂直涡度的转化在南海季风爆发时和江淮梅雨入梅及发展过程中均有指示性意义，在南海季风爆发以后，在中国东南部地区，转化项的大小与夏季风的活跃和中断等活动有着几乎一致的变化规律，这从侧面也指出了，此转化项的变化是夏季风演变所具有的本质特征，并且它反映出了西太平洋副高在中国大陆的活动情况。
