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lie-in的中文,翻译,解释,例句

lie-in

lie-in的基本解释
n.

懒觉, 躺卧示威

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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。

Develop the formulation of the the Lie group, Lie algebra and Riemannian manifolds and spatial operator algebra.

建立了Lie群和Lie代数、Riemannian流形与空间算子代数理论联系的模型。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示,即套代数上的任何一个Lie导子都是内导子与广义迹之和;给出了Lie同构和同构及反同构之间的关系,即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和;引入了Banach代数上线性映射的Lie不变子空间,并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画,同时也表明在模去数乘恒等映射的意义下,以导子空间为Lie不变子空间的线性映射就是Lie导子。

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simple Lie group:单纯Lie群

单层 simple layer | 单纯Lie群 simple Lie group | 单纯Lie环 simple Lie ring

simple Lie ring:单纯Lie环

单纯Lie群 simple Lie group | 单纯Lie环 simple Lie ring | 单振子 simple oscillator

solvable Lie ring:可解Lie环

可解Lie群 solvable Lie group | 可解Lie环 solvable Lie ring | 解答核 solving kernel