查询词典 operator function

In this space, we construct two kinds independent phase operators by improving supersymmetric annihilation operator and supersymmetric creation operator, and then obtain their eigenstates.

我们进一步将它推广到用超对称谐振子的产生算符和湮灭算符来构造适用于超对称谐振子的双摸相位空间里的二类独立的相位算符并相应地求出了其归一化的本征态。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

There are mainly four innovations in this dissertation. It's the first time that the minimal operator was introduced into martingale theory, and a series of -type inequalities for the minimal operator on martingales and supermartingales are established.

特别地，在证明中新定义了一个算子—几何极小算子，最终利用几何极大算子和极小算子序列的收敛关系以及前面所得的有关极小算子的结果使得本章中有关几何极大算子的结论证明显得简洁明了。

Prof. Long-Ruilin mentioned that if we want to study weighted inequalities for martingales, such as the maximal inequalities, the inequalities for the square operator and so on, the condition imposed on weights are mainly A〓 and S, but we don't know whether this condition is superfluous in all problems we consider. Since the condition can not be weakened for the known operators, now we consider a new operator to discuss its L〓-boundedness, then another problem arises, under what condition can we get it?

龙瑞麟先生曾经提到要讨论关于可测的鞅的极大算子、均方根算子以及条件均方根算子的L〓有界性，或它们之间的〓有界性时，所设的主要条件是A〓与条件S，有了这两个条件在讨论加权问题时基本上没有什么困难，但是要想用更弱的条件来代替它们，即使在古典情况下（此时S条件是自然满足的）也恐怕还不到时候。

Simulated anneal and Tabu are extensively applied in the field, in which, Genetic Algorithms is most general one. In the former study of the optimizing for motor, people often focused on cross operator and variation operator, which was based on the G.A.

在以往的以遗传算法为优化设计主要算法的研究中，偏向于对交叉算子与变异算子进行改进以提高遗传算法的效率，即对遗传算法的本身进行改进，从而产生了很多种类的混合遗传算法。

In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

为了在继承拉普拉斯算子高实时性的前提下提高图像分割质量，设计了一个可与拉普拉斯算子差分计算同步进行滤波工作的空间滤波器。

In this paper, we treat the composition operators on several analytic function spaces. The study of analytic composition operators links analytic-function theory and operator theory.

本文主要从事解析函数空间上的复合算子的研究而未涉及可测函数空间上的复合算子。

From our results, it can be known that the weakly asymptotic order of the information-based algorithm whose recover function is the classical Bernstein interpolation sequence is below that of the corresponding minimal information radius whose permissible information operator is function value.

通过我们的结果可以知道，以经典的Bernstein多项式算子列作为计算恢复函数的信息基算法，其在Wiener空间(或1-重积分Wiener空间)下的的平均误差的弱渐近阶均低于相应的以函数值计算为可允许信息算子的最小平均信息半径的弱渐近阶。

We utilize the intuitionistic fuzzy weighted arithmetric averaging operator to aggregate the intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one according to the score function and accuracy function.

然后对权重信息不完全的直觉模糊数的多属性决策方法进行了研究，基于正理想方案和算子，给出了一个具有最小偏差的目标规划模型，从而获得相应的属性权重，基于IFWAA算子对直觉模糊信息进行集结，进而根据得分函数和精确函数对方案进行排序。

We utilize the interval-valued intuitionistic fuzzy weighted arithmetic averaging operator to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one according to the score function and accuracy function.

然后对权重信息未知的区间直觉模糊数的多属性决策方法进行了研究，给出了一个基于最大偏差的目标规划模型，从而获得相应的属性权重，基于IIWAA算子对区间直觉模糊数信息进行集结，进而根据得分函数和精确函数对方案进行排序。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样