查询词典 kernel of integral operator

In this space, we construct two kinds independent phase operators by improving supersymmetric annihilation operator and supersymmetric creation operator, and then obtain their eigenstates.

我们进一步将它推广到用超对称谐振子的产生算符和湮灭算符来构造适用于超对称谐振子的双摸相位空间里的二类独立的相位算符并相应地求出了其归一化的本征态。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

There are mainly four innovations in this dissertation. It's the first time that the minimal operator was introduced into martingale theory, and a series of -type inequalities for the minimal operator on martingales and supermartingales are established.

特别地，在证明中新定义了一个算子—几何极小算子，最终利用几何极大算子和极小算子序列的收敛关系以及前面所得的有关极小算子的结果使得本章中有关几何极大算子的结论证明显得简洁明了。

Prof. Long-Ruilin mentioned that if we want to study weighted inequalities for martingales, such as the maximal inequalities, the inequalities for the square operator and so on, the condition imposed on weights are mainly A〓 and S, but we don't know whether this condition is superfluous in all problems we consider. Since the condition can not be weakened for the known operators, now we consider a new operator to discuss its L〓-boundedness, then another problem arises, under what condition can we get it?

龙瑞麟先生曾经提到要讨论关于可测的鞅的极大算子、均方根算子以及条件均方根算子的L〓有界性，或它们之间的〓有界性时，所设的主要条件是A〓与条件S，有了这两个条件在讨论加权问题时基本上没有什么困难，但是要想用更弱的条件来代替它们，即使在古典情况下（此时S条件是自然满足的）也恐怕还不到时候。

Simulated anneal and Tabu are extensively applied in the field, in which, Genetic Algorithms is most general one. In the former study of the optimizing for motor, people often focused on cross operator and variation operator, which was based on the G.A.

在以往的以遗传算法为优化设计主要算法的研究中，偏向于对交叉算子与变异算子进行改进以提高遗传算法的效率，即对遗传算法的本身进行改进，从而产生了很多种类的混合遗传算法。

In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

为了在继承拉普拉斯算子高实时性的前提下提高图像分割质量，设计了一个可与拉普拉斯算子差分计算同步进行滤波工作的空间滤波器。

In this paper, We study the spectral counting function for one dimensional p-Laplace operator. We prove the existence of a two term Weyl-type asymptotic with mixed and periodic boundary-value conditions. This is the generalization of Laplace operator with mixed and periodic boundary-value conditions.

本文研究一维p-Laplace算子谱点的计数函数，在混合边值及周期边值条件下得到一个精确到第二项的Weyl型渐近式，它是Laplace算子在这两种边值条件下的推广。

The mathematical models of minimal object function and tabu mutation operator for the performance index of error absolute value time integral were established.

该方案建立了误差绝对值时间积分性能指标的最小目标函数和禁忌变异算子的数学模型。

Applied Green's function, the differential equations will be transformed into the equivalent of integral equations, sufficient conditions for existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous boundary value problems with p-Lapacian operator are obtained.

文中，利用格林函数，将微分方程转化成等价解的积分方程，给出了该奇异非线性四阶p-Lapacian微分方程边值问题的正解的存在及惟一性的一个充要条件。

Finally we show that the discrete fra-ctional integral operator〓is bounded on〓.

本章还证明了离散分数次积分算子〓在〓上的有界性。

The role of the environment is very important.

的作用，环境是非常重要的。

At that time, the High Court of England and Wales Court of Queen's Bench president of William Murray, Lord Mansfield in June 22, 1772 ruling:"No matter then there is the inconvenience, but there must be a decision, I can not say that this case under the law in England are permitted or authorized; are so black should be released."

当时的英格兰及威尔士高等法院王座法庭院长William Murray， Lord Mansfield于1772年6月22日宣判：「无论有那麽不便，但总要有个决定，我不能说这件案在英格兰法律之下是准许或认可；所以黑人是应该被释放。