查询词典 integration operator

In the third chapter, based on the second chapter, we will study the boundedness of fractional intergral operator and maximal fractional operator with rough kernal on the weighted Herz-Morrey space.

在第三章中，我们研究了加权齐次Herz-Morrey空间MK_~(ω_1，ω_2)上另一类算子带粗糙核的分数次极大算子和分数次积分算子的有界性问题。

Pisier\'s results,under tree martingale valued space X is isomorphic toan a-uniformly convex space (2≤a＜∞),some quasi-normal or normal inequalitiesof a-variation maximal operator and a-conditional variation maximal operator of X-valued predictable tree martingales are identified.

同时，用G.Pisier's结果在树鞅取值空间X同构于a一致凸Banach空间条件下，证明了几个X-值树鞅α-方极大算子和a-条件方极大算子的拟范数不等式与范数不等式。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The * symbol is used as the dereference operator and as the multiplication operator. The uses of the symbol are independent; it can be helpful to think of them as two different symbols.

例如，符号*既可以作为解引用操作符，也可以作为乘法操作符，这两种用法相互独立、各不相关，如果将其视为两个不同的符号可能会更容易理解些。

It also introduces the concept of function module and a new kind of coding way, crossover operator and mutational operator.

提出了功能块的概念，介绍了一种新的编码方式、交叉算子和突变算子。

It is now possible to integrate annunciation of device alarms, such as radar level transmitters, on operator stations and allow the operator to call up detailed diagnostics as suggested in the NAMUR NE 91 recommendation.

现在，可以整合各类设备警告，例如雷达液位计，人机对话站，并按照 NAMUR NE 91的建议，允许操作人员调用详细的诊断信息。

This paper proposes a clonal selection algorithm with negative selec- tion operator and genetic operator .

本文提出了一种含有否定选择算子和遗传算子的克隆选择算法，通过克隆选择算法产生多样子代检测器，并且从中选择比其父代更优的检测器去取代父代检测器，这样一代一代循环，使检测系统具有更好的覆盖空间。

Firstly the fuzzy entropy in quadratic form is modified by substituting standard negative operator of Zadeh with generalized negative operator of Sugeno, and the generalized fuzzy entropy formula is obtained.

首先将Sugeno广义否定算子替代二次型模糊熵公式的Zadeh标准否定算子，得到了参数型的广义模糊熵表达式；其次，将其应用于构造图像阈值化分割的准则函数；最后，给出了图像阈值化分割新算法中的广义模糊熵参数自动选取方法。

It is based on a update lifting operator and a nonlinear prediction lifting operator according with certain local characteristic and statistical information of an image.

摘要基于图像的局部特性和统计信息，该文提出一种新的二维自适应提升小波变换方法。

When resolving the use of an operator, it is possible for both nonmember and member versions of the operator to be candidates.

而确定操作符的使用时，操作符的非成员和成员版本可能都是候选者。

He got into race cars, while my father liked go-karts more, so I didn't really pay attention to what Diego was doing, as I was just racing karts.

叔叔开的是跑车，而我父亲更喜欢越野卡丁车，所以我并不太关注Diego在做什么，我仅仅在跑我的卡丁车而已。

She is at present gone to look for the best nectar and ambrosia to regale me this evening.

她今晚为款待我，现在又去准备美酒佳肴去了。