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The basic equations of structure are derived from Hamilton variational principle and the constitution of material utilizes the increment theory.

基于Hamilton变分原理导出圆柱壳的运动方程，本构关系采用增量理论，借助增量数值算法求解动力方程组。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

So the symplectic and energy preserving method for Hamilton system was obtained.

实现了Hamilton系统即保辛又保能量的算法。

Based on Hamilton variation principle, the equations of motion for the moderately thick rectangular plate with transverse surface penetrating crack on two-parameter foundation are established.

基于Hamilton变分原理，考虑板的横向剪切变形和地基耦合效应，建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。

Using the way of Dirac left and right vector, this paper shows the representation s of Hamilton operator for cyciooctateraene and the relation of the representation and unit vector when taking different unit vector of cy-clooctateraene molecule.

用Dirac左、右矢量符号，讨论了环辛四烯分子采用原子轨道为基矢量，原子轨道两两组合为基矢量时，其Hamilton算符H的表象及基矢量之间的关系。

To study the influence of this damper configuration to aeromechanical stability, some work has been done in this thesis. First, dynamic equation of the rotor-hub system was modeled with the generalized Hamilton principle, which can be used to analyze the stability problem in different conditions like on-ground, hovering and flight. When fastening the fuselage, the model can also be used to analyze the stability problem of isolated rotor system.

为了研究这种新型布置减摆器对直升机稳定性的影响，本文所作研究工作如下：首先，本文利用广义的Hamilton原理建立了适用于不同状态的旋翼/机体耦合系统的动力学模型，该模型中将机体固定可以用来分析孤立旋翼的稳定性问题。

Pushed by Hamilton's theory, some botanists have discovered and testified aposematic coloration do exist in plants such as autumn leaves, young leaves of tropical rainforests, some thorny plants and reproductive organs of plants whereas some of them are still obscure or controversial.

起源于猎物－捕食者关系的警戒色理论在动物界得到了充分研究，但植物警戒色却不为人所知，直到2001年Hamilton关于秋季树叶颜色的信号假说公开发表后，才引起人们对植物警戒色的初步研究。

Michael Curry's eventual benching of Hamilton in favor of Iverson only compounded the problems in the locker room.

Michael Curry's把放入 Hamilton 替补而启用Iverson出任先发的做法使更衣室里矛盾复杂化。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Everyone at the ground is incredibly helpful and friendly, and Diddy David Hamilton is the PA announcer.

这里的每个人都很友善，Diddy David Hamilton是PA播报员。

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。