查询词典 lie under

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Huge fields of gas shale are believed to lie under the Appalachian Mountains, Michigan and the southcentral states.

大面积的天然气页岩聚集在阿巴拉契亚山脉，密西根州和中南部的各州。

Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kernal and P as their cokernal are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML and the homogeneous components of degree zero of H~3.

从交叉模的定义出发，对于给定的Lie color代数L，P以及阶化P模M，考虑所有以M为核、以P为余核的L的交叉模，在这些交叉模之间定义了一个等价关系，由此得到交叉模的等价类集CML，证明了CML与三维上同调群H~3的零次齐次部分之间存在一一对应，从而可以利用三维上同调群对Lie color代数的交叉模进行分类。

He is the author of a factual novel, Lie Under the FigTrees (1966), a flash chapbook, Under the Steinbeck Oak 2005

他看到我的个人资料在国际笔友名单中，因为他已经打算来台湾教书，所以他就写信给我了啊

Secondly,the condition under which the Noether symmetry is a Lie symmetry is obtained.Finally,a generalization of Hojman theorem is given and two examples are given to illustrate the application of the result. analytical mechanics ; holonomic system ; symmetry ; conserved quantity

新近出现的形式不变性理论也取得进展[6～8]，文献[9]研究了完整力学系统由Lie对称性导致的Hojman守恒量，本文继文献[9]，研究完整力学系统由Noether对称性导致的Hojman守恒量。1 系统的Noether对称性与守恒量完整力学系统的运动微分方程为 Es=Qs (s=1，…，n)(1)其

The main purpose of this dissertation is to study the problems of symmetries and conserved quantities of controllable nonholonomic systems and mechanico-electrical dynamical systems, based on the invariance of the Hamilton action under the infinitesimal Lie group transformation.

本文基于Hamilton作用量在无限小Lie群变换下的不变性，研究可控非完整系统与机电动力系统的对称性和守恒量问题。

The necessary and sufficient conditions under which the form invariance is a Lie symmetry is presented.

建立了系统的运动微分方程，给出了系统在特殊无限小变换下的形式不变性的定义和判据以及系统的形式不变性是Lie对称性的充分必要条件。

Well, I want to get a tan and I haven't time to lie in the sun, so I lie under the sun lamp every night for five minutes.

嗯，我想晒晒黑，但又没有时间躺在阳光下，只能每天晚上在紫外线灯下躺五分钟。

Well, I want to get a tan and I haven't time to lie in the sun, so I lie under the sun lamp every night for five minutes.A: That's finr, as long as you don't fall asleep.

嗯，我想晒晒黑，但又没有时间躺在阳光下，只能每天晚上在紫外线灯下躺五分钟。A：那不错，只要你不睡着。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了