查询词典 hyperbolic automorphism

Moreover, some subgroups of Aut are obtained, such asthe inner automorphism group, the central automorphism group, the involutional automorphism group, the first and the second extremal automorphism group.

证明了：当n=0时，Aut中每个元素都是内自同构，且Aut≌C(定理1.12)。n=1时，Aut中每个元素都是有限个内自同构，中心自同构，对合自同构和第一类外自同构的乘积(定理1.13)。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

If let H be a complex separable Hilbert space ,dimH ≥ 3, we prove that every approximately 2- local automorphism of P B_s(H,E is an automorphism. Every real linear approximately local automorphism of B_s is an automorphism.

另外本章还证明了对于可分的Hilbert空间H，当dimH≥3时，P，B_s和E的近似2—局部自同构是自同构，B_s的实线性近似局部自同构是自同构。

A new generalized fuzzy hyperbolic model is proposed, which can be seen as the generalization of common fuzzy hyperbolic model. The generalized fuzzy hyperbolic model is proven to be a universal approximator. Two identification algorithms are put forward to identify the model from input/out data.

通过对模糊双曲正切模型的改进，提出一种广义模糊双曲正切模型，证明了此模型可以以任意精度逼近紧集上的连续非线性函数，即此模型具有全局逼近性，并给出其辨识算法。

In this paper we introduce the hyperbolic cosine function and construct the new hyperbolic cosine penalty function and algorithms, further more, we construct the new hyperbolic cosine multipier penalty function .

本文在传统形式的罚函数基础上引入双曲余弦函数做罚项，构造了新的对于一般约束优化问题的双曲余弦罚函数和求解迭代公式；进一步地，又提出了求解具有等式约束优化问题的双曲罚函数乘子法。

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

This paper defines j-dual automorphism and anti- automorphism of de Bruijn Good graph Gn over F2+vF2 ring.

文章定义了F2+vF2环上的de Bruijn Good图Gn的j对偶自同构及反自同构，并给出了在F2+vF2环上移位寄存器非奇异的充要条件，以及非奇异反馈函数与其自同构函数的表达式。

Dade made enormous researches on Coleman automorphism of a finite group and obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent.

E.C.Dade通过对有限群的Coleman自同构的大量研究得到了一系列开创性的结果，最重要的是证明了Coleman外自同构群是幂零群。

On the basis of that, a finite group G satisfying |Aut: Paut|=1, p or pq is successfully classified, where p, q are distinct primes, Aut is the automorphism group of G and Paut is the power automorphism group of G.

然后在此基础上综合运用多方面的知识，进一步给出了满足条件|Aut∶Paut|=1，p或pq的有限群的完全分类，其中Aut是群G的自同构群，Paut是G的幂自同构群，p，q仍是不同的素数。

In the paper,Coleman automorphism is further researched and some properties of Coleman automorphism are obtained.

本文首先对Coleman自同构做了更深入的研究，得到了Coleman自同构的一些性质。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切