本文第一章介绍可积系统的哈密顿方法。
In chapter one, we give a brief introduction to the Hamiltonian method of integrable system.
可积局部鞅有正则修正。
The local martingales of Llog +L-integrals possess cadlag modifications.
特别地，许多可积方程都自然地产生于曲线和曲面运动。
In particular, many integrable equations arise naturally from motions of curves and surfaces.
另外，利用马格式求得了上面已知可积系之一的非等谱流。
In addition, the nonisospectral flows of one of the above known hierarchies are given by the use of Ma scheme.
作为应用，利用屠格式得到了TC方程族的一个新的可积耦合。
As the applications, a new integrable coupling of TC hierarchy by using the Tu scheme.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
本文研究的内容主要包括两个方面：可积方程族的生成和可积耦合。
The major contents in this paper include: the formulation of integrable hierarchies and the integrable couplings.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
结果推广了该问题可积的一些原有结果，并给出了通解的参数表示式。
Results Original integrable results of this problem are generalized and parametric expression of the general solution is given.
微商非线性薛定谔方程(DNLSE)是有众多物理应用的可积方程。
The derivative nonlinear Schrodinger equation (DNLSE) is an integrable equation of many physical applications.
本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。
Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.
采用将圆电流磁矢势表达式中一部分展成级数，使被积函数变成可积分的函数。
A part of results on magnetic vector potential of circular loop are expanded, so the integral function is transformed to integrable series.
分析了诸多积分概念的共性，抽象出黎曼积分的定义，给出了黎曼可积的条件。
This paper sums up the common character of the concept of many integrals, abstracts the concept of Riemann integral and gives the integral conditions of the Riemann integral.
描述了一类平面2r机械臂的模型，利用哈密顿系统理论证明了该系统的可积性。
A 2r Planar Robot Manipulator system is described, whose integrability is proved by the theory of Hamilton system.
其次，运用2+1维的零曲率方程和屠格式得到了一类2+1维的多分量的可积系。
Secondly, a type of (2+1)-dimensional multi-component integrable hierarchy is obtained with the help of a (2+1)-dimensional zero-curvature equation and Tu scheme.
文章利用达布和理论，讨论了黎曼积分的可积性问题，给出了一个可积的充分必要条件。
Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
分析了证明拓扑空间有限可积性的一般方法及所依据的定理，并对一些具体的性质加以证明。
This paper analyses the general method of proving the productive property and the theorems on which it bases.
利用可积系统的方法研究3维球空间中的常中曲率(CMC)曲面，并给出了曲面的谱变换。
It is studied that the CMC surfaces in the sphere space of dimension 3 by means of integrable system and its spectral transformation is given.
给出一类特殊阿贝尔方程新的可积条件，实现了计算机对该类方程可积性及其精确解的自动判定。
A new integrable condition in a kind of special Abel equation is given in this paper. We can realize the special Abel equation integrability and accurate solution by computer.
摘要本文利用次线性项在零点附近的凹性和可积性，用移动平面法给出了一类次线性椭圆方程正解的对称性。
With the concavity and integrability of sublinear terms near zero, the symmetry results for a class of sublinear elliptic equations are given by making use of the moving-plane method.
自从1992年以来，人们在各种物理实现和量子完全可积模型的研究方面取得了重要的进展，并给出新的物理理解和理论结果。
People have made great progress both in different kinds of realizations of and in the studies on quantum integrable models since 1992, and have given new physics understanding and theoretical results.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
按企业会计制度规定，资本公积可转增资本，盈余公积也可转增资本，利润分配还可以发放股票股利，这三者既有一致的地方，又有区别。
According to the enterprise system, capital surplus can be turned to increase capital, reserve surplus also can be turned to increase capital, and profits distribution can distribute stock dividends.
这些积点可存在时间银行里，在你需要别人帮你完成某事时，再领取出来花用。
These credits can be saved in a time bank and spent when you need something done for you.
轴矢量自身可参与矢积。
按照沉积结构，构造和岩性特征，可划分出四种浊积岩相类型。
According to the sedimentary structure and lithology, the turbidite may be divided into the four types of turbidite facies.
按照沉积结构，构造和岩性特征，可划分出四种浊积岩相类型。
According to the sedimentary structure and lithology, the turbidite may be divided into the four types of turbidite facies.
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