查询词典 addition operator

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子，并且证明了Toeplitz算子有界等价于它的符号是有界的。

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。

This paper gives definitions of the closure operator, interior operator and complement operator in poset matroids, of which the underlying posets have an order-reversing involution, and then studies some properties of these operators.

本文将主要研究偏序集拟阵和模糊拟阵中的这些生成运算，要点及主要内容如下：一、给出了限制和收缩作用相等的一个充要条件，显示了秩函数在研究偏序集拟阵中的重要作用。

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 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。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。