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We've found that on symplectic manifolds there exists a series of Euler-Lagrange cohomology groups different from both de Rham and harmonic cohomology in general and proposed a set of general volume-preserving equations that contain the Hamiltonian equations as a special case.

中文摘要:我们发现在作为经典力学中的相空间的辛流形上有可能存在不同于de Rham上同调和调和形式的上同调,称之为Euler-Lagrange上同调;提出相空间上保体积的一般方程,通常的正则方程是其特殊形式;进而推广了经典力学中著名的刘维定理;同时把Noether定理与上同调联系起来。

Most, however, fall somewhere in between the stalwart supporters and the

罹患过白血病、淋巴瘤或者骨髓瘤的病人都有这样的感受,白血病的治疗不仅影响到自己同至亲密友间的关系,也会影响到与其他远亲、朋友、熟知间的联系。

The choice of fingering in piano performance, which is closely related with our knowledge about the nature of music, plays an important role in piano pedagogy, and also exists as the most complicated problem.

钢琴演奏的指法选择是钢琴教学中的一个重要部分,也是最复杂的问题之一,同我们对音乐本质的认识有密切的联系。

That our environment have less, if anything, to do with our abilities, characteristics and behavior is central to the theory.

这种理论的核心是,咱们的环境同咱们的才能、性格特征和行为即使有什么联系的话,也是微不足道的。

I have been in correspondence with her for years.

我多年来一直同她有通信联系。

When a difficulty came for opinion before the jurisconsult, there was nothing to prevent a person endowed with a nice perception of analogy from at once proceeding to adduce and consider an entire class of supposed questions with which a particular feature connected it.

当有一种困难提交法学专家征求意见时,决没有东西会阻止一个赋有很好类比力的人立即进而援引和考虑同它有些联系的全部假设问题。

Historically, the instability of northern nation on horse outside of Great Wall origins from the labilization of northern atmosphere, while the stability of southern nation origins from the plantation.

认为这一现象同历史上的南北生产形态有潜在的联系,历史上长城以外的北方民族在马背上的流动性源自于北方自然地理环境的多变性,而南方的农耕形式决定了其居住、生产形式的固定性。

If in doubt about the functionality of any part of the liquid container, please contact Air Products for assistance.

如果对液体容器的任何部分的功能性有怀疑,请同Air Products联系,以获得帮助。

I had a good pen pal when I was in university but lose track of her.

大学时我有一个笔友可现在同她失去了联系。

Adams argued for a definition of civilization as a society with functionally interrelated sets of social institutions: class stratification based on the ownership and control of production, political and religious hierarchies complementing each other in the central administration of territorially organized states and lastly, a complex division of labor, with skilled workers, soldiers and officials existing alongside the great mass of peasant producers.

Adams 提出"文明"的定义应当是把它看成是一个社会,在其中有一套相互之间有机联系着的社会结构:基于产品所有者和控制者的等级阶层,在国家的核心管理上相互配合的政治阶层和宗教阶层,由技术工人、士兵和同绝大多数的农业生产者生存在一条水平线上的公务员所组成的复杂的劳动者联合体。

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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。

Articulate the aims, objectives and key aspects of a strategic business plan.

明确的宗旨,目标和重点战略业务计划。