查询词典 lie around

In section 1.1. we define the mapping a on circle in double quiver Q of a quiver Q, and give a strict defition of bracket operation in Lie algebra,then prove it is a Lie bracket.

循环上的映射σ，用它给出了项链李代数括号运算的一个严格定义，并用此定义证明了这是一个李运算。

Every here and there, a doorway gives a glimpse of a sunlit courtyard, perhaps before a mosque or s caravanserai, where camels lie disdainfully chewing their hay, while the great bales of merchandise they have carried hundreds of miles across the desert lie beside them.

随处走到哪儿，你都能透过某个门口瞥见洒满阳光的庭院，或许是一座清真寺的门口，或许是一家商旅客栈的门前。在那些庭院里，骆驼趾高气扬的咀嚼着干草，旁边堆放着它们从几百英里以外的沙漠驼回来的大捆大捆的货物。

Every here and there, a doorway gives a glimpse of a sunlit courtyard, perhaps before a mosque or a caravanserai , where camels lie disdainfully chewing their hay, while the great bales of merchandise they have carried hundreds of miles across the desert lie beside them.

随便走到哪儿，你都有可能透过某个门洞瞥见一个洒满阳光的庭院，那也许是个清真寺的院子，也许是个商旅客栈的院子。在那儿，总会有几头骆驼旁若无人地卧着嚼草料，而在骆驼的身边则总是堆放着它们穿越沙漠，从几百英里以外的地方驮运而来的大捆大捆的货物。

The white has chastely, innocent, good and so on the meanings, if the bride puts on the white formal clothes at the wedding ceremony, represents love chaste and the marital pure and chaste; In addition white day expression auspicious day; a white lie white lie.

白色。白色具有纯洁、无辜、善良等含义，如新娘在婚礼上穿白色礼服，代表爱情的纯洁和婚姻的贞洁；此外white day 表示吉日；a white lie善意的谎言。

Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.

李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。

First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.

首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。

Not only baroclinic instability and conditional symmetry instability lie in the middle-low level, but also lie in the middle-upper level of DMMCS. At the west of DMMCS, there lies negative MPV2 column.

深湿对流系统的中低层不仅有对流不稳定，而且还有斜压不稳定、条件对称不稳定，而中高层必须有湿斜压不稳定和条件对称不稳定。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本质上是Happel关于重复代数的稳定模范畴和导出范畴的三角等价的一个几何实现及其应用，使用这种几何实现，我们可以证明在重复代数的稳定模范畴上定义的李代数同构于相应的导出范畴上实现的李代数。

Chapter two proposes the unified form of Hojman"s conservation law and Lutzky"s conservation law. Firstly, the author introduces the general Lie group of transformations that the variations of both the time and the generalized coordinates are considered, derives the determining equation of Lie symmetry for the system, presents a new conservation law, which contains the Hojman"s and the Lutzky"s conservation law as two special cases, and obtains a condition to exclude trivial Hojmans conserved quantities.

第二章，Hojman定理和Lutzky定理的统一形式：首先，引入一般意义下的Lie变换群(即位型变量q_s和时间变量t同时变换)，给出系统的Lie对称性确定方程，提出一个新的守恒律，Hojman定理与Lutzky定理则分别是这个新守恒律在两个特殊情况下的推论，导出一个可排除平凡Hojman守恒量的定理，并分别讨论了Birkhoff系统和非完整系统的Lie对称性和Hojman守恒量，最后，讨论了Hamilton系统的梅对称性与Lie对称性的关系，给出了由梅对称性求Hojman守恒量的方法。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。