算子代数

Ringrose began to study nest algebras in the 1960s, many people have devoted themselves to the study of non-selfadjoint and reflexive operator algebras including nest algebras, commutative subspace lattice algebras, completely distributive subspace lattice algebras and so on, and obtain a lot of beautiful achievements.

自从60年代J.Ringrose开始研究套代数以来，人们对套代数、交换子空间格代数和完全分配子空间格代数等非自伴自反算子代数进行了深入研究，并且取得了大量出色的研究成果。

By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form.

同时本文利用SU(1，1)代数将二维、三维情况下的谐振子同加了反平方势的氢原子分别表示成具有相同形式的两算符下的本征值方程，从而得出

Finally, complex orthomorphism which is intimate with complex f -algebra is fully studied.

最后，研究了和复f-代数密切相关的一类算子：复正交射。

Petre Hajek have proposedBL algebra based on the three continues triangle norms and construct Basic Logicsystems correspondingly.

Hajek便针对这三种连续的三角模所对应的蕴涵算子而提出了BL-代数，并建立了相应的Basic Logic系统。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

According to the relevant fuzzy algebraic method, operator of compution more contributing factors is defined, given a funtion for measuring quality of Web service on unweighted factor.

根据模糊代数的相关方法，定义了计算多个因素联合贡献的算子，给出了一种无加权因子的Web服务质量计算函数。

In Chapter Seven, This chapter established on the comparison of the Fibonacci's Liber Abaci, al-Khwārizmī'algebra and al-Karajī's al-Fakhrī.

本章建立在对斐波那契《计算之书》、花拉子米《代数》、以及凯拉吉的《奇妙之事》中代数学比较研究基础之上，分析他们在代数技巧、代数方法有效性的证明方法、未知数设定、二次方程分类、算题选择和设置形式等方面的异同。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。