查询词典 nonlinear equation

2Based on the nonlinear theory, we found the reservoir seismic nonlinearprediction and evaluation method technology, it is constituted by three nonlinearmethods and the technologys of the fracture prediction, the seismic inversion and thereservoir synthesis prediction evaluation: The seismic nonlinear prediction ofreservoir fracture is one new method which is composed with the phase spacereconstruction, the nonlinear parameters pick-up technology and the syntheticprediction evaluation method. The reservoir seismic high resolution nonlinearinversion is a new seismic inversion way which the BP algorithm is embeded in theauto-adapted genetic algorithms interior to have the predominances of neural networktechnology and genetic algorithms, it adopts the new embedded GA-BP mixalgorithms and the nonlinear mapping technology, and realizes the inversionautomatically, obtains the high resolution seismic inversion profile. The reservoirseismic nonlinear synthesis prediction and evaluation is a new method which iscombined organically of genetic algorithms and adaptive neural fuzzy inferencesystem, it will optimize the new seismic attribute space which are processed to take the input, uses the new adaptive mix algorithm which GDand LSE(least-square estimation) mix algorithms of ANFIS network insert to the GAinterior and taboo search algorithms is added to the intercrossed operation place,the simulation of the evaluation parameters is used quantitative evaluation guide lineto the reservoir quality and oil-gas distribution.

2基于非线性理论，创建了储层地震非线性预测与评价方法技术，它是由裂缝预测、地震反演和储层综合预测与评价等三大非线性方法与技术组成：储层裂缝地震非线性预测是由相空间重建、非线性参数提取与预测技术及综合评价方法组成的一种新型裂缝预测方法；储层地震高分辨率非线性反演是将BP算法嵌入自适应遗传算法内部所构成的集遗传算法和神经网络技术优势于一体的新的地震反演方法，它采用嵌入式新的混合算法及非线性映射技术，自动实现反演，获得高分辨率地震反演剖面；储层地震非线性综合预测与评价是由遗传算法与自适应神经网络—模糊推理系统有机地相结合而产生的储层预测与评价的新方法，它将优化处理所形成的新地震属性参数空间作为输入，采用将ANFIS网络中的混合算法嵌入到GA算法内部与禁忌搜索算法加在交叉操作处产生新的自适应混合算法，将综合评价参数作为储层品质和含油气性的定量评价指标。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

At the beginning of 1990"s, backstepping was developed by Kokotovic and his copartners, it is a kind of circulative nonlinear design method that uses systematic way to construct feedback method and simultaneous correlative control Lyapunov function and so more and more scholars pay attention to it. Because it has very good flexibility, people can use "good" nonlinear item through introducing nonlinear damping to control "bad nonlinear item. Now backstepping design method is one of the most effective methods to settle control problems in nonlinear system with uncertainty.

20世纪90年代初，出现了以Kokotovic及其合作者发展起来的backstepping设计方法，它是一种运用系统化的方式同时构造反馈控制律和相关联的控制李雅普诺夫函数的循环非线性设计方法，近年来引来了越来越多的学者的高度重视，它具有很好的设计柔韧性，设计者可利用&好的&非线性项，通过增加非线性阻尼来控制&坏的&非线性项，是目前解决不确定非线性系统控制问题的最有效途径之一。

Our study addresses the following topics:A conception of relative nonlinear measure on the equilibrium manifold parameter has been derived based on the definitions of equilibrium manifold and nonlinear measure about nonlinear system.And the nonlinear measure curve of a material boiler-turbine CCS model has been drawn.From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions.

本文的研究内容集中在如下几个方面：根据非线性系统平衡流型和非线性测度的定义，提出了关于平衡流型参数的相对非线性测度的概念，据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线，对此协调控制系统非线性模型进行了线性化，并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

The equation for item level from item slot is a logarithmic equation and the equation from item level to weapon DPS would require an exponential equation, therefore an equation from item slot value, the value prior to item level, to weapon DPS would be a linear equation.

武器DPS是物品等级中一个很有趣的属性，因为它似乎有多种计算方法。最近加入的传家宝物品可以提出和回答这个问题。物品等级在57以前的时候，它的计算方法和蓝装的线形公式一样，传家宝武器不是线形增长的，似乎是介于线形和多项式增长之间。在58-67的时候，传家宝武器的DPS随物品等级成指数增长。在68-80的时候，武器DPS也是成指数增长，但是速度不同。在100-226之间的史诗物品成相同的指数增长。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

A quasi one-dimensional, time dependent system model based on the parallel compressor theory was used to compute the effect of inlet distortion on turbine engine stability; Through Modifying steady state continuum equation, momentum equation and energy equation, the effect of power extraction and additional bleed on turbine engine running line was computed. Unsteady state continuum equation, momentum equation and energy equation were solved for computing the effect of acceleration on turbine engine running line.

其中，进气畸变对发动机气动稳定性影响的计算采用平行压气机模型，基于李亚普诺夫理论的方法完成；附加引气、功率提取对发动机气动稳定性的影响采用通过对发动机转子间质量、动量、能量守恒方程进行修正的方法进行；加速过程对发动机气动稳定性的影响采用欧拉方法求解动态的质量、动量、能量守恒方程的方法完成；最后采用&层迭&的方法进行各种降稳因素的综合评估。

According the connection between the solution of linear fractional differential equation and nonlinear fractional differential equation, the expression of the solution of the nonlinear fractional differential equation is formed.

在一定的条件下，建立了非线性分数阶微分方程在边值条件下有解存在。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面，本文基于Morino等人的工作，作了如下几方面的改进：（1）在计算定常跨音速流场（作为非定常绕流计算的初场）时，本文采用松驰迭代法直接求解跨音速定常非线性积分方程，而不是采用时间相关法求解非定常非线性积分方程，这样大大节省了计算机时；（2）将以体积分形式出现的影响系数化为面积分，并获得解析公式，这样便于分析和编写程序；（3）对运动的激波，本文通过在每一个时间步长上采用激波捕捉法而得到，而不是在积分方程中附加激波运动项，因而处理起来简单方便得多。

By utilizing the expansion expression of equilibrium point of the system, the homogeneous equation s solution was obtained, and then the nonlinear differential equation was equivalent to its nonlinear Volterra's integral equation of the second kind by the constant variation method.

首先将系统在平衡点附近进行展开，求得其齐次方程的解，然后利用常数变易法将非线性微分方程变为等价的第二类非线性Volterra积分方程。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。