nilpotent
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adj.
幂（为）零的；
英英释义
nilpotent[ 'nil,pəutənt ]
adj.equal to zero when raised to a certain power
双语例句
用作名词(n.)
In this note we describe explicitly the subalgebras of nilpotent matrices and obtain some interesting results.
摘要本文较详细地描述了幂零矩阵子代数，并且获得了一些有趣的结果。
权威例句
Nilpotent orbits in semisimple Lie algebrasNilpotent Orbits In Semisimple Lie Algebra: An Introduction
Nilpotent and High-Order Approximations of Vector Field Systems
UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
Unique Normal Forms for Nilpotent Planar Vector Fields
Nilpotent connections and the monodromy theorem: Applications of a result of turrittin
Hypoelliptic differential operators and nilpotent groups
Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals ☆
Subelliptic estimates and function spaces on nilpotent Lie groups
Representations of nilpotent Lie groups and their applications. Part 1: Basic theory and examples
1. By researching nilpotent matrix rank, a solution is obtained for general matrix power rank.
通过对幂零矩阵的秩的研究，给出了一般方阵幂的秩的求法。
dict.cnki.net
2. It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
dict.cnki.net
3. The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
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4. Moreover, we shall discuss some properties of nilpotent exponents.
此外，本文还讨论了幂零指数的若干性质。
dict.cnki.net
5. Filiform Lie algebras are a class of special nilpotent Lie algebras.
线状李代数是一类重要的幂零李代数。
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6. In this paper, we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.
主要对定义在一般数域上的3-幂零矩阵的相似等价类的个数问题进行探讨。
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7. In this paper, the finite non-nilpotent group with every non-abelian subgroup being subnormal is investigated.
研究了每一非交换子群皆为次正规的有限非幂零群的结构。
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8. In this paper, conjugate separability problem in a finitely generated nilpotent group is researched.
研究了有限生成的幂零群中元素的共轭分离问题。
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9. In this note, a characterization of the graded nilpotent radical of general group graded rings was established.
本文给出了一般群分次环的分次幂零根的一个刻划。
dict.cnki.net
10. In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
dict.cnki.net
11. This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.
本文先给出幂零矩阵的定义，然后讨论了它的若干性质。
danci.911cha.com
12. Let L be transitive on V (G) and nilpotent , then G has two disjoint maximal independent sets .
设L在V（G）上可迁且为幂零群，则G有两个不相交的极大独立点集。
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13. Using the concept, C-normal subgroups and M-normal Subgroups, we get some interesting result about the solvability, P-closed and nilpotent of finite groups.
本文利用C正规子群及M正规子群的性质刻划有限群的可解性、P闭性、幂零性。
dict.cnki.net
14. Burnside asserts, if any sylow p-subgroup P of a finite G lies in the center of its normalizer, then G isp-nilpotent.
群论研究的一个重要问题是对有限群的p—幂零性对有限群结构的影响。
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15. A class of cubic differential system is studied in this paper, in which origin is nilpotent singular point.
研究了一类原点为三次幂零奇点的三次微分系统。
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16. By the feature of the nilpotent matrix, the simple method for solving the inverse matrix of some special matrix is given in the present paper.
利用幂零矩阵的特性，给出了求一些特殊矩阵逆矩阵的简单方法。
dict.cnki.net
17. In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。
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18. We reprove the following theorem with a simpler means:Theorem: let A is the solvable algebra, then A is the local nilpotent algebra.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
zuci.chaziwang.com
19. This article discussed the nilpotent matrix related nature from the matrix different angle.
本文从矩阵的不同角度讨论了幂零矩阵的相关性质。
shiwt.com
20. What is nilpotent structure on Riemannian manifold?
黎曼流形上的幂零结构指什么？
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21. However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix.
在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的乘法运算时给出了幂零矩阵的定义，但对其性质研究很少。
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22. In the chapter 2, the author introduce two methods that method a sign pattern matrix is spectrally arbitrary, the structure method and Nilpotent-Jacobi method with examples.
第二章通过举例介绍了两种证明符号模式矩阵是谱任意的方法----构造法和幂零-雅可比方法。
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23. In this paper, we investigate the solvability of finite groups by using some semi normal nilpotent subgroups.
本文利用某些幂零子群的半正规性，讨论有限群的可解性，所得结果统一推广了王品超、赵耀庆的若干结果。
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24. The Nature And Application Of Nilpotent Matrix Summary: Nilpotent matrix is a special type of matrix that has an important place in matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
shiwt.com
25. The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
shiwt.com
26. In this paper, we present a new minimal spectrally arbitrary pattern by using the Nilpotent-Jacobian method.
作者在文中给出了一个新的极小谱任意符号模式。
danci.911cha.com
27. I analyse some conclusions of spectrum arbitrary and give two sign patterns. then I prove two classes sign pattern matrix that are spectrally arbitrary using Nilpotent-Jacobi method.
分析了谱任意的相关结论并给出了两类符号模式，然后运用幂零雅可比方法证明了两类符号模式矩阵的谱任意性。
www.fabiao.net
28. I analyse some conclusions of spectrum arbitrary and give two sign patterns. then I prove two classes sign pattern matrix that are spectrally arbitrary using Nilpotent-Jacobi method.
分析了谱任意的相关结论并给出了两类符号模式，然后运用幂零雅可比方法证明了两类符号模式矩阵的谱任意性。
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29. principal nilpotent element
主幂零元素
-- 来源 -- 英汉 - 翻译参考[网络]
30. And element X=A is nilpotent.
元素X＝A是幂零的。
-- 来源 -- 英汉 - 辞典例句
31. nilpotent linear transformation
幂零线性变换
-- 来源 -- 英汉 - 翻译参考[网络]
32. connected nilpotent
连通幂零
-- 来源 -- 英汉 - 翻译参考[网络]
33. nilpotent component
幂零分量
-- 来源 -- 英汉 - 翻译参考[网络]
34. generalized nilpotent element
广义幂零元素
-- 来源 -- 英汉 - 翻译参考[网络]
35. nilpotent element
幂零元素
-- 来源 -- 英汉 - 翻译参考[网络]
36. proper nilpotent element
真幂零元素，根元素
-- 来源 -- 英汉 - 翻译参考[网络]
37. almost nilpotent element
殆幂零元素
-- 来源 -- 英汉 - 翻译参考[网络]
38. locally nilpotent
局部幂零的
-- 来源 -- 英汉 - 翻译参考[网络]
nilpotent
