查询词典 algebraic closure operator

On the other hand, we make certain study to the nonwandring property of bounded, unbounded operator semigroups ,and give out concrete application.By the theory of semigroups, we establish if {T_n}_(n≥1) is a bounded linear operator sequence onBanach space X_n converging in the sense of Kato to a bounded operator T on theBanach space X , then their nonwandering property can be inherited by each other under the appropriate conditions.

另一方面，本文对有界和无界算子半群的非游荡性也作了特别的研究，并给出了一些具体的应用；利用半群理论，还证明了算子在Kato意义下逼近时，二者之一的非游荡性可被另一个所保持；并得到了几个相应的结果。

If a claim pursuant to this Act is brought against the operator of a facility, he may demand from the injured person or from the operator of another facility information or an opportunity to review documents or demand information from the agencies named in § 9, insofar as this is needed to determine the scope of his liability to the injured person or of his claim for indemnity against the other operator.

如果受害人依本法对设备所有人提起诉讼，设备所有人可以请求受害人和其他设备所有人提供必要的接收到的信息，或者查询必要的证据材料，也可以请求行政机关提供第9条所列的必要信息，以确定设备所有人对受害人赔偿责任的范围，或者应从其他设备所有人处获得赔偿之抗辩的范围。

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 shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。