查询词典 embedding operator

We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

In the six chapter, we use the methods of reproducing kernel and Carleson measure charactering the pointwise multipliers on the Hardy space, Bergman space on the polydiscs, we also obtain a necessary condition for a composition operator to be a compact operator, and a addition result on the range of composition operator on the Hardy space.

在第六章中，我们利用再生核与Carl e Son测度刻画了多圆Hardy空间到Bergman空间，以及Bergman空间到Bergman空间的点乘子，得到Hardy空间与Bergman空间上复合算子为紧的一个必要条件，以及在Hardy空间上关于复合算子值域的一个结果。

In the synthesis operation operator choice, through the value and the related function type comparison, points out the operator the deficiencyof M, and recommendation use the operator of M .

在合成运算算子的选择中，通过数值及有关函数类型比较，指出M算子的不足之处，并推荐使用M算子。

In this algorithm, first, a crowed comparison operator is used to sort and select individuals according to the characteristics of multi-objective optimization. Then, a non-uniform mutation operator is applied to the observation populations to preserve the convergency of the solutions and to improve the precision of local search. Finally, a diversity-preserving operator is employed to delete the observation populations for the purpose of preserving the solution diversity.

首先，根据多目标优化特点，使用多目标密度比较算子对量子种群进行排序和筛选；然后，应用非均匀变异算子对观测种群进行变异以保持解的收敛性并提高局部搜索的能力；最后，使用多样性保持算子对观测种群进行删减以保持解的多样性。

Except that the specifications of the single-objective real-valued quantum-inspired evolutionary algorithm are kept, the proposed algorithm has three main features to enhance the RQIEA. First, the crowed comparison operator is used to sort and select individuals in multi-objective sense. Second, the non-uniform mutation operator is applied to improve the precision for local search and to preserve the convergency for the solutions. Third, the diversity preserve operator is proposed to maintain the diversity.

该算法除保留求解单目标优化问题的实值量子演化算法的特点外，还有三个主要特征：首先，根据多目标优化特点，使用多目标密度比较算子对种群进行排序和筛选；其次，应用非均匀变异算子保持解的收敛性和提高局部搜索能力；再次，使用多样性保持算子来保持解的多样性。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

Chapter 3 studies the compactness of product operators of a composition operator C〓 with the adjoint C〓 of another composition operator C〓 on weighted Bergman spaces A〓. We give some conditions in terms of angular derivatives of the inducing maps ψ and ψ for the operator C〓C〓 or C〓C〓 to be compact.

第三章研究了加权Bergman空间上的一个复合算子C〓与另一个复合算子C〓的共轭算子C〓的乘积C〓C〓与C〓C〓的紧性问题，我们用φ与ψ在〓D上的角导数的某种关系给出了C〓C〓与C〓C〓在A〓上为紧算子的一些判据。

Invariant theorem of the operator series multiplier convergent. Using operator series multiplier convergent,AK-space of concept ,we obtained the theorem of operator series multiplier convergent invariant and the old theorem of general series multiplier convergent invariant is looked as special case.

第三章 算子级数乘数收敛的不变性：利用算子级数乘数收敛、AK—空间的定义，得到了算子级数乘数收敛的不变性定理，从而将以往的普通级数乘数收敛的不变性定理作为特殊情况。

The idea creator's optimal choice on residual claims is positively correlated with both how he anticipates the operator's ability and how efficient he could monitor the operator. The returns to the idea creator and the operator are negatively correlated with the degree of information symmetry and the amount of insolvency remnant, but are positively correlated with the levels of asset prices.

就企业家合约生成而言，创意者和经营者的结合形成一个联体企业家，创意者对剩余索取权的最优要求随自己对经营者才干的预期以及对经营者的监管效率的增加而提高，经营者、投资者对其资产报酬的要求与信息对称程度、失败残值大小呈反向关系，而与资产价格指数呈正向关系。

The results of study show that operator and consumer have different value cognitive structure, in other words, operators and consumers have different link relations in "attribute - result ","result – value", and "attribute – value". At the same time the results of compare means in "attribute ","result " and "value " also show the difference between operator and consumer for "service content attribute " and "price attribute". There are cognitive differences between operator and consumer for "interpersonal relationship and novelty" and "life entertainment", and for "belonging "and "stimulus" of value.

研究结果显示业者及消费者具有不同的价值认知结构，换句话说，业者及消费者在「属性-结果」、「结果-价值」、和「属性-价值」三种链结关系中表现出不同的链结关系；同时个别在「属性」、「结果」和「价值」的差异检定中亦显示，业者及消费者对於「服务内容属性」、「价格属性」等产品属性有认知上的差异；在消费结果中「人际关系及新奇」和「生活娱乐」有认知差异；最后在「归属感」、「刺激」等价值感受有认知上的差异。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。