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We discussthe propertiesofthe adjoint operator of unilateral weightedshift,prove that is astrongly irreducible Cowen- Douglas operator, and compute the 0 group of the commutant algebra of .

算了代数я={f:f在开圆D盘上解析,在■上连续}的K_0群,讨论了内射单边加权移位算子的伴随算子的性质,证明了是强不可约的Cowen-Douglas算子,然后计算出的换位代数的K_0群

Firstly, a new two-tuples hybrid weighted averaging operator based on uncertain information processing is proposed. Properties of the operator are also analyzed. A method for group decision making with linguistic information based on T-HWA operator is presented.

首先提出了一种基于不确定信息处理的二元语义混合加权平均算子,并对该算子的性质进行了分析,然后给出了一种基于T-HWA算子的语言群决策方法。

Based on the and density weighted averagingmiddle operator and density weighted geometric averagingmiddle operator, a new density weighted harmonic averaging middle operator is proposed.

文章根据已有的密度加权平均中间算子和密度加权几何平均中间算子的形式提出了密度加权调和平均中间算子并与已有的其它算子进行合成得到合成算子。

Based on these operational laws, some aggregation operators, including pure interval-valued intuitionistic fuzzy weighted arithmetric averaging operator and pure interval-valued intuitionistic fuzzy ordered weighted averaging operator, are proposed.

论文摘要:对纯区间直觉模糊信息的集结算子进行了进一步研究,引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数,并基于这些运算法则,提出了一些新算子:纯区间直觉模糊数加权算术平均算子和纯区间直觉模糊数有序加权平均算子。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中,对于H_0~1中的有界线性算子,用微分算子插值样条函数的方法给出了H_0~1空间中的再生核,利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式,并证明了其收敛性。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是,本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果,而且进一步弄清了不同空间之间的复合算子的性质,同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况,基本空间扩展至向量值解析函数空间的情形等等。

By introducing the general notion of nonwandering operator semigroup T and utilizing a basic result in normed linear space,the nonwandering property of T=e~ is investigated with the constructive method.

通过给出一般算子半群T的非游荡性概念,利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T=etA在适当的条件下是非游荡的;另外,通过对C-半群T概念的引进,定义了一个无界算子半群etA,进一步证明了这二者关于非游荡性的联系;最后给出了一个无界算子半群etP关于非游荡性理论的刻画,其中P是微分多项式。

Finally,a simplified case of BOFL,i.e.Boolean Operator Propositional Logicestablished on a Boolean algebra,is further discussed.A complete algorithmfor finding the true level and false level of a formula in BOPL,which subsumes the re-lated work by Wang H.in the propositional logic,is also provided.

对布尔算子模糊逻辑的简化情形一布尔算子命题逻辑作了进一步讨论,放宽了对真值域的要求,将布尔算子命题逻辑建立在布尔代数上,并推广了命题逻辑中的王浩算法,给出了一个完备的求给定公式恒真水平和恒假水平的机械推导算法。

A single machine scheduling problem with batchs setup time depending on sequence is proposed. The math model to minimize setup times is upbuilt. An improved adaptive hybrid genetic algorithm is brought up for solving this scheduling problem. Several operators are redesigned according to the characteristic of this scheduling problem. Follow job optimization recombination crossover is advanced for transmitting the good character to the offspring. To improve the mountain climbing ability of the genetic algorithm, the mutation is replaced by a local optimization algorithm.

提出了一种具有序依赖setup time的单机器批量生产调度问题,以总的setup time最小为目标建立了该生产调度问题的数学模型,设计了一种改进的自适应混合遗传算法求解该生产调度问题,对遗传算法的交叉和变异算子均按照该调度问题的特点进行了改进,提出一种&紧后任务选优重组交叉算子&,该算子能将调度排序上的优良性状很好地遗传到下一代群体中。

Madhouses are large and only too numerous; yet surely it is strange they are not larger, when we think of how many helpless wretches must beat their brains against this hopeless persistency of the orderly outward world, as compared with the storm and tempest, the riot and confusion within:--when we remember how many minds must tremble upon the narrow boundary between reason and unreason, mad to-day and sane to-morrow, mad yesterday and sane to-day.

疯人院是大大的,数量也实在太多了;然而,说也奇怪,疯人院又不算大了,当我们想到有多少无可奈何的可怜人必定要用他们的脑袋去撞那秩序井然的外部世界的毫无希望的固执之墙,同他们内心的暴风骤雨、骚动混乱互相比较起来,疯人院又不算大了——当我们想到有多少心灵,必定在理智和非理智、今天的疯狂和明天的健康正常、昨天的疯狂和今天的健康正常的狭隘边界上颤抖,疯人院又不算大了。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。