查询词典 associated equation

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

Chapter 4 mainly deals with the mechanical calculation of determine equations associated with classical and nonclassical Lie symmetries for differential equation.

第四章考虑微分方程对称确定方程组的机械化计算。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点，通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性，但当我们在无界域上考虑该椭圆方程解的存在性时，Sobolev空间H_0~(1，2)到L~(2*)的嵌入非紧，从而导致所对应的能量泛函失去紧性，本章在非光滑临界点理论的基础上，应用周期逼近的方法证明该问题非平凡解的存在性。

Firstly, the average equation under first,and second order of Van der pol-Mathieu-Duffing system are obtained through theatric methods. According to the stability criteria, the physical parameter plane is divided into different regions, associated with different types of steady state solutions, which are proved by employing numerical methods.

本文首先通过理论分析得到了Van der pol-Mathieu-Duffing方程在一、二阶近似下的定常解，分析了平均方程在不同参数平面内的幅值响应曲线，根据解的稳定性判据得到了物理参数平面上的分岔集以及定常运动在相应平面的分布情况，详细分析了该系统在各个区域内的动力学特性。

Furthermore, the experimental k values were used to determine the associated activation energy, Ea, for the formation of La2/3TiO3-type phase using the Arrhenius plot and the following least-square equation, ln =-Ea/RT + A, where T is the annealing temperature, R is the universal gas constant, and A is a constant, resulting in Ea ~ 607 ?

第二部分则是以微观的方式来解析Pb2+离子与La4Ti9O24陶瓷以及La2/3TiO3-type相晶格之间的关系；利用化学共沉法来合成不同Pb2+离子添加量的La4Ti9O24陶瓷起始粉体，再以900 oC /1h的条件热处理；藉由选区电子绕射图谱以及X-ray绕射分析所生成之La2/3TiO3-type相结构；结果显示La2/3TiO3-type相之结晶结构为斜方晶之钙钛矿结构，符合空间群IbmmNo。

In the first part, it was investigated the interaction between Pb2+ and La4Ti9O24 ceramic bulk. The result shows that a significant Pb2+ diffusion into La4Ti9O24 ceramic bulk and a significant crystallization of the La2/3TiO3-type phase is clearly observed in the Pb2+ diffusion layer. The reacted zone consists of the La2/3TiO3-type phase exhibits the linear dependence of the square of the thickness, x, on the heat-treated time, t, in excellent agreement with the parabolic law x2 = kt, where k is the growth rate coefficient. The kinetic study thus indicates that the Pb2+/La4Ti9O24 interaction strictly obeys the theory of the reactive diffusion. Furthermore, the experimental k values were used to determine the associated activation energy, Ea, for the formation of La2/3TiO3-type phase using the Arrhenius plot and the following least-square equation, ln =-Ea/RT + A, where T is the annealing temperature, R is the universal gas constant, and A is a constant, resulting in Ea ~ 607 ?b 60 kJ/mol.

首先， 以巨观的方式观察PbO与La4Ti9O24陶瓷体介面的反应现象；利用X-ray绕射分析以及扫描式电子显微镜来观察不同的热处理温度以及不同的持温时间所制作的样品，研究结果发现， Pb2+离子会渗入到La4Ti9O24陶瓷内，同时在Pb2+离子所渗入的区域内会产生新的La2/3TiO3-type钙钛矿斜方晶相；藉由量测不同温度与时间之样品，其因Pb2+离子渗入而产生之La2/3TiO3-type相层厚度之关系，符合反应式扩散机制中 x2 = kt 之关系式(其中 x：扩散层厚度； k：反应速率常数； t：反应时间)；进一步将不同实验条件所得到之反应速率常数值代入Arrhenius方程式ln (k =-Ea/RT + A ，其中Ea：活化能； T：绝对温度； R：气体反应常数； A：常数，可以求得Pb2+离子与La4Ti9O24陶瓷发生反应式扩散所需之活化能为607 ± 60 kJ/mol。

This paper studies some complex analysis problems associated with differiential equationa and obtains a series of conclusions,these conclusions will be the key point in the studying of variational equation s.

讨论了一些有关微分方程的复杂的分析问题并得到一系列结论，这些结论在变分方程的研究中起关键作用。

This paper is devoted to the study of a control problem associated to a nonlinear second order vector differential equation with pointwise state constraints.

本文主要研究一类具有状态约束的由向量微分方程所支配的光滑和非光滑利普希茨控制问题。

N-soliton solutions is constructed in the terms of Wronskian and is verified by direct substitution to satisfy the bilinear equation and the associated B〓cklund transformation respectively.

得到了该方程的双线性形式以及B〓cklund变换的双线性形式及普通形式；构造了该方程Wronskian形式下的孤子解，并从双线性方程和双线性B〓cklund变换两个角度对解进行了直接验证。

The Associated Press reported on 18 June 1999, that a comma in the wrong place of a sales contract cost Lockheed Martin Corp.$70 million:"An international contract for the U.S.-based aerospace group's C-130J Hercules had the comma misplaced by one decimal point in the equation that adjusted the sales price for changes to the inflation rate."

据美联社1999年6月18日的报道，一个逗号放错了地方让洛克希德马丁公司损失了七千万美元：&在一个标的为美国宇航集团的&大力神&C-130J型军用运输机的国际合同中，有一个针对通货膨胀而调整销售价格的方程式，但不幸的是，一个逗号被弄成了小数点。。。。。。&

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。