查询词典 linear operator

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

Based on the concepts of bounded operator, positive bounded operator and possible bounded operator their connections are discussed such that the contents are deeper.

在有界算子，肯定有界算子以及可能有界算子这些概念的基础上，进一步讨论它们之间的联系，使得关于这方面的内容更全面深刻。

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。

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 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。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。