查询词典 Hamilton

In Chapters 4, 5, using coset representatives, we obtain the existence spectrums for large setsof Hamilton cycle and path decompositions ofλK_, and large sets of directed Hamilton cycle and path decompositions ofλK_~*.

第四、五章中，利用陪集代表元理论得到了λK_的Hamilton圈和路分解大集的存在谱，以及λK_~*的有向Hamilton圈和路分解大集的存在谱。

Q. Kang [31] completed the existence spectrum forlarge sets of almost directed Hamilton cycle decompositions of K_v~*, and gave some results aboutlarge sets of directed Hamilton cycle and path decompositions of K_v~*.

康庆德在[31]中得到了K_v~*的几乎有向Hamilton圈分解大集的存在谱，以及K_v~*的有向Hamilton圈和路分解大集的若干结果。

Hamilton Function represents overall profit prospect decided by all kinds of policies and it takes account the present and future effects, that mean Hamilton Function actually considers the balance of present and future profits.

Hamilton函数代表了各种政策所决定的总利益前景，它同时考虑到了当前效应与未来效应，也就是说，Hamilton函数实质上考虑到了当前利益与长远利益的权衡。

Hamilton modeling and generating function method for relative motion were introduced. Approximation of Hamilton function for relative motion of satellite formation and its impact on modeling accuracy were interviewed.

采用分析力学方法研究DSS卫星间的相对运动，讨论了DSS相对运动的Hamilton力学建模与生成函数近似求解方法，分析了相对运动的Hamilton函数近似阶数对求解精度的影响。

First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing.

首先以较低的计算代价，获得最优控制Hamilton系统生成函数的低阶近似，得到一条近似的最优轨线，然后将最优控制Hamilton系统相对于近似最优轨线求"相对运动"，该"相对运动"仍具有Hamilton性质，利用这一"相对运动"的生成函数低阶近似，可以对近似最优轨线进行迭代修正，从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。

Examples of different non-conservative systems were studied based on quasi-Hamilton principle and quasi-complementary Hamilton principle, and the uniform forms were obtained.

应用拟Hamilton原理和拟余Hamilton原理研究不同性质的非保守动力系统的算例，表明不同性质的非保守动力系统的拟Hamilton原理和拟余Hamilton原理均可写成统一的形式。

Hamilton principle can be used in holonomic system and intrinsical linear nonholnomic system. The formulas of them are unified. Hamiltonian action is stability in intrinsical linear nonholnomic system.

本文将Hamilton原理应用到本质线性非完整系统，首次证明了在本质线性非完整系统中，Hamilton作用量为稳定的作用量；将完整系统和本质线性非完整系统的Hamilton原理从形式和本质上统一起来。

Considering that body forces and surface forces were both non-conservative force, the quasi-Hamilton principle and the quasi-complementary Hamilton principle of non-conservative elasto-dynamics systems were established.

按照广义力和广义位移之间的对应关系，将弹性动力学的基本方程乘上相应的虚量，然后积分，代数相加，并考虑到体积力和面积力均为非保守力，建立了非保守弹性动力学系统的拟Hamilton原理和拟余Hamilton原理。

Based on the eigen theory of elastic mechanics , the Hamilton density functions for various deformation process are obtained by defining the normal conjugate momentum density , and the Hamilton normal equations for elastic body are also given .

Hamilton体系由于其方程具有对称性，在经典力学和量子力学及其场论等领域中发挥了重要作用。Hamilton体系与Lagrange体系的不同之处体现在：它是在相空间，以对偶变量的形式描述系统的运动规律。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。