查询词典 evolution equation

Based on the research on the evolution mechanism of information ecological communities,and by the use of the system development view and the related theories of complex systems,this paper redivides the evolution process into formative process,linear evolution process,non-linear evolution process and dissolution process according to the essential characteristics of information ecological communities.

本文在信息生态群落演化机理的研究基础上，运用系统发展观和复杂系统的相关理论，根据信息生态群落演化过程的本质特点，对演化过程进行了重新划分：信息生态群落的结体创生过程、线性常规演化过程、非线性超常规演化过程和分化解体过程。

Based on the research on the evolution mechanism of information ecological communities,and by the use of the system development view and the related theories of complex systems,this paper redivides the evolution process into formative process,linear evolution process,non-linear evolution process and dissolution process according to the essential characteristics of information ecological communities.

李北伟；靖继鹏；王俊敏；刘智喜本文在信息生态群落演化机理的研究基础上，运用系统发展观和复杂系统的相关理论，根据信息生态群落演化过程的本质特点，对演化过程进行了重新划分：信息生态群落的结体创生过程、线性常规演化过程、非线性超常规演化过程和分化解体过程。

From this equation we obtain the evolution equation of the image surface using the connection of the surface evolution and its level lines.

由这个演化方程，利用曲面演化和其水平线演化之间的关系，得到关于图像曲面的演化方程。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解，与已有的辅助椭圆方程法的主要不同是，应用这一新的辅助椭圆方程后降低了平衡次数，减少了所得的代数方程组的个数和方程的项数，从而大大地简化了代数方程组的求解。

In chapter 3, homogeneous balance method is used to deal with some problems of finding solutions of higher dimensional nonlinear evolution equation . By improving some key procedure of the method, the original equation is reduced to a linear equation , hence a great number of exact solutions for this are obtained.

第三章利用齐次平衡法研究了一些高维非线性演化方程和方程组的求解问题，通过对该方法的某些关键步骤的处理，将原方程转化为一线性的微分方程，从而获得了这些方程大量的多种精确解。

Indeed, it is not clear whether one should interpret the Dirac equation as a quantum mechanical evolution equation, like the Schrodinger equation for single particle.

事实上，人们是否应该将Dirac方程解释为量子力学的进展方程也不是清楚的，像单粒子的Schrodinge方程那样。

Waxman-Smits equation is an evolution of Acrhie equation for shaly sands, and it is a nonlinear equation.

Waxman-Smits方程是阿尔奇方程在泥质砂岩地层中的推广，W-S方程为非线性方程。

The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。

In this thesis,we mainly study the following three type of equations under certain non-Lipschitz conditions: stochastic Volterra type integral equation,backward stochastic Volterra type integral equation(including two cases:with jump and in infinite dimensional space),multivalued stochastic evolution equation.

本文将在某些给定的非Lipschitz条件下，依次讨论随机Volterra型积分方程，倒向随机Volterra型积分方程(包括带跳情况和无穷维情况)，多值随机发展方程。

The paper aimed at resolving the question of side value of Laplace equation and Poisson equation in plane angular domain by using integral equation of the solution of mathematic physics equation.

旨在利用数学物理方程解的积分公式，去解决平面角形区域内Laplace方程和Poisson方程的边值问题，而其关键在于构造相应域内的格林函数。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。