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We have also found the sufficient and necessary conditions for the solvability of the above boundary value problem.

本文将在文[2]所建立的方程(1)的广义解一般表达式的基础上，讨论边界条件更为一般的斜微商问题，建立这一问题的解的表达式、问题的指标同解

Hence, in order to enlarge the range of the applicable functionals, weakening the restriction of bounded from below is very necessary.

因此为了扩大适用泛函的范围，削弱下方有界性这个条件是非常有必要的。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系，提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件，并且指出它包括了Wilcox提出的离散的可实现条件。

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

From [1], Every transition function is a positive strongly continuous semigroup of contractions on l\, but it isnt a strongly continuous semigroup on l_∞- In fact, the sufficient and necessary condition for a transition function to be a strongly continuous semigroup on l_∞ is that the q—matrix Q is an uniformly bounded q—matrix on l_∞- This is the trivial case.

由Anderson[1]知道转移函数P是l_1空间上正的强连续压缩半群，但P一般来说不是l_∞空间上的强连续半群，而P是l_∞上强连续半群的充要条件是q—矩阵Q是l_∞。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

Ing is necessary - or bounding box intersection may often be all that is needed to provide acceptable results.

例如，首先可能要测试物体碰撞盒子，看是否需要基于测试的多边形，或者碰撞盒子交叉点可能经常成为提供满意结果的唯一来源。

If you want the job done, it's sometimes necessary to call in bounty hunters.

如果你想要让这事做成，有时候必须召来赏金猎人。

It was necessary for us to combat bourgeois Rightists, but we went too far.

反对资产阶级右派是必要的，但是搞过分了。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。