算子函数

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

In this paper, we study the oscillations of the eigenfunction of Sturm-Liouville problem with indefinite coefficients and general separated boundary conditions on (0,l).

本文研究了定义在有限区间上的具有一般分离型边条件的左定Sturm-Liouville算子的特征函数的振荡问题。

As an application, the completeness of the eigenfunction system of the infinite dimensional Hamiltonian operator corresponding to a wave equation is given.

作为应用，还给出了波动方程导出的无穷维Hamilton算子特征函数系的完备性。

When A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

Wh.en. A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

By means of adjusting the grade of membership's valve a and the error limit δ,we can get the result of different bound exactitudes.

如何在已有的数据库中查询这些模糊信息，这就需要通过定义隶属函数、选择语气算子、确定系统阈值和误差限，对结构化的查询语言SQL进行模糊化处理，形成模糊化

In the C language, this callback function is called functor, which is ubiquitous in event driven programs.

在C语言中，这种回调函数被称作算子，在事件驱动类程序中普遍存在。

In Chapter 3, we study the semilocal convergence for the method appeared in Chapter 2 under Lipschitz continuous condition of the second Frechet derivative, and get the corresponding error estimation by majoriz-ing function technique. And also, an application of the theorem to a non- linear equation is given.

在第三章中，研究了复合型Newton-Steffensen迭代方法在算子的二阶导数满足Lipschitz连续条件时的半局部收敛性，并利用优函数技巧得到了其在该条件下的误差估计，最后给出了这个定理的一个应用。

In or-der to keep the form of the Lax operator for AKNS hierarchy,there are twochoices for each type of gauge transformations,which just results in two classesof functions used to trigger the gauge transformation.

为了保持AKNS系列的Lax算子形式，两种类型规范变换都存在两种选择，这正好导致用于制作规范变换的两类函数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。