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.
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.
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.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
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.
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.
眼前房的损伤可破坏支持虹膜及睫状体的血管结构从而引起前房积血。
Injury to the anterior chamber that disrupts the vasculature supporting the iris or ciliary body results in a hyphema.
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.
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.
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.
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.
本文主要贡献是，得到了包括突触联接在内的树突树系统的冲激响应及其绝对可积性；
The main contributions in this paper are the impulse response of dentric tree including synaptic connection is obtained and absolutely integral.
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.
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.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
给出了直接求可积耦合的一种方法。
A direct method for finding the integrable couplings is proposed.
在拉竹龙组中发现规模较大的珊瑚礁体，可细分出礁基、礁格架、礁前塌积角砾及礁间相沉积；
There occur larger-scale coral reefs that may be subdivided into reef base, reef frame, reef-front collapse breccias and inter-reef deposits.
为使系统具有良好的通用性和可扩展性，提出了一种基于积件思想和网络数据库技术的教学系统结构模型，阐述了系统的结构特点。
In order to get the characteristics of common ability and expansibility, a structure model of network teaching system based on integral ware and web database are presented.
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.
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.
在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。
After constrcting the perfective space prove that this space is just the space of lebes gue integratiable function thus explain that lebes gue integral is the form of the perfective riemann integral.
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.
对于其中的可积系统，往往是双线性形式。
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.
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.
应用推荐