辛

With the application of the Pro-Hellinger-Reissner variational principle, dual equations in the symplectic space are yielded to present an analytical method for the bending of annular sector plates.

然后应用类 Hellinger-Reissner变分原理，导出了辛几何空间的对偶方程，从而将环扇形薄板弯曲问题导入到辛对偶求解体系。

On the analogy between plane elasticity and plate bending theory, moment functions of plate bending in polar coordinates are introduced as original variables to establish a symplectic space in circumferential direction for the bending of annular sector plate with an appropriate definition of symplectic inner product.

根据平面弹性与薄板弯曲问题的相似性原理，极坐标系板弯曲的弯矩函数被引入作为原变量，并通过恰当的辛内积定义建立了环扇形薄板弯曲问题的一个辛几何空间。

Firstly, kinetic energy and potential energy expressions are obtained by a series of derivation, considering the extrinsic momentum. In the symplectic system, control equations of longitude and transverse coupling vibrations of rotating elastic structures, or Hamilton canonical equations are described. So the solution of the problem is boiled down to the eigenvalues and eigensolutions in the symplectic space.

首先，从能量的观点出发，通过一系列的理论推导，给出旋转结构的动能和势能表达式，并考虑外动量的影响，从而得到在辛体系中描述旋转结构纵向和横向耦合振动的控制方程，即哈密顿正则方程，于是将问题归结为辛几何空间的本征值和本征向量问题。

In the last chapter,we constructa bipartite graph by all 1-dimensional subspaces and all maximal totally isotropicsubspaces of symplectic space,and obtain that this graph is a distance-semiregulargraph,its bipartite half is the complement of symplectic graph.

最后，我们利用辛空间中的所有一维向量子空间及极大全迷向子空间构作了一类二部图，证明了此图是一个距离半正则图，其二部半图是辛图的补图。

Many traditional mechanics problems have been solved successfully, which proves the efficiency of symplectic system.

辛体系自提出以来，已经探讨了许多的传统力学问题，取得了很好的结果，证明了辛体系的有效性。

The future prospects and some challenges as well as some open problems we face with symplectic and multisymplectic algorithms are listed in the end.

就辛和多辛算法未来的发展方向做了简单的展望，并罗列了一些公开问题及其面临的一些挑战。

We consider symplectic and multisymplectic algorithms for some evolution equations in the dissertation.

本文主要研究了一些非线性演化方程和方程组的辛和多辛算法。

This paper creatively introduces symplectic geometry theory to principal component analysis and gives its derivation, algorithm and realization.

本论文创新性地将辛几何理论引入到主分量分析中，推导了辛几何主分量分析原理，给出了相应的算法和实现。

In 1884 with Owen Goldberg and Cecil Turnbull at night on public thoroughfares between Longwood avenue and Leonard's corner and Leonard's corner and Synge street and Synge street and Bloomfield avenue.

12一八八四年，夜间他与欧文。戈德堡和塞西尔。特恩布尔一道沿着这几条大马路边走边谈：从朗伍德大街走到伦纳德街角，又从伦纳德街角走到辛格街，然后从辛格街走到布卢姆菲尔德大街。

"And to Capello, after he made me warm up with Ronaldo for the entire second half in Tarragona, in the locker room I told him 'You are a worthless man, you're as fake as Monopoly money.'"As for Del Neri, I couldn't understand a damn thing he was saying.

与卡斯辛奴吵过的教练还不在少数，卡斯辛奴还曾说过「史巴列堤是乌甸尼斯的没用家伙，这是我的地盘，不是你的」，「最憎恶詹蒂莱」，「不知道德尔内里说的该死的事是什麼东西」等等。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。