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Hausdorff convergence; almost nonnegative Ricci curvature; Betti number; harmonic 1-form; nilpotency; splitting theorem; positive sectional curvature; gradient curve

基础科学,数学,几何、拓扑Hausdorff收敛;几乎非负Ricci曲率;贝蒂数;调和1-形式;幂零指标;分裂定理;正截面曲率;梯度曲线

The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got.

通过半直积的性质来研究有限群的幂零性,并得到一些好的结果。

Chapter 4 mainly deals with the nilpotency of table algebras.

本文第4节对表代数的幂零性问题做了深入研究。

In the end of this chapter,weprove a local nilpotency property of operators on modules(Theorem 2.3.3)whichis one of the main theorems of this work.

这一章的最后主要证明算子作用在模上的一个局部幂零性质(定理2.3.3),它是本工作的主要结果之一。

We obtain some results on solvability and nilpotency of finite groups by the 9— pairs of 2—maximal subgroups.

利用2-极大子群的θ-子群偶得到了一系列有限群可解,幂零的结果。

By using Turull's methods, we get some better positive answers to the nilpotency length conjecture for odd order groups.

结合Turull的方法,对奇数阶情形时的幂零长猜想做了较好的正面回答。

Nilpotency of a table algebra depends on that of their table subsets and quotient subsets, which is not fully corresponding to extension problems of nilpotent groups.

同时会发现该条件在表代数幂零性的判别方面并不完全对应于幂零群的中心扩张。

In this paper we give the concept ob approximation nilpotent alternate algebra,and sduty the relation ot nipotency and solvability to the approximation nilpotency .

在这篇文章中给出了交错代数的近似幂零性的概念。并且,讨论了交错代数的幂零性、可解性与近似幂零性之间的关系。

Finally, we study the PLDP(n, 2) and strongly nilpotent Jacobian matrices, and we prove that if the nilpotency index of JH for a power-linear map H of degree 2 is less than 4, then JH is strongly nilpotent, and consequently the rows of JH are linearly dependent.

此外,我们特别对线性多项式2次幂映射的相关性问题进行了讨论,为此,对强幂零的Jacobi矩阵进行了研究,刻画了Gorni-Zampieri对的幂零指数之间的关系,并证明了Gorni-Zampieri对保持强幂零性。

Kasymov2J discussed the solvability and nilpotency of n-Lie alge...

Kasymov[2]研究了n-李代数的可解性和幂零性。

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However, as the name(read-only memory)implies, CD disks cannot be written onorchanged in any way.

然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

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A single payment file can be uploaded from an ERP system to effect all pan-China RMB payments and overseas payments in all currencies.

付款指令文件可从您的 ERP 系统上传到我们的电子银行系统来只是国内及对海外各种币种付款。