证明

And we also give the concept of equitable degree of a matrix game and prove some interesting results about it.

本文证明了最优对策解集的一些性质，然后给出矩阵对策公平度的概念并证明了它的一些有趣的性质。

Moreover, the equivalance between regularity of a ring and a full matrix ring is proved with a new method.

当 R是一个有单位元的环时，本文引进并刻划了Mm× n的正则性并由此重新证明了环 R与全矩阵环 Mn正则的等价性，这种方法比原有的证明方法简

Also, it is deduced from the conclusions of maximum likelihood estimator that the performance of estimators is independent on source number if the number of snapshots used in estimator is large enough.

证明了它们在低信噪比情况下仍具有渐近无偏的估计性能；另外，利用最大似然估计器的相关结论，证明了在快拍数足够大的情况下，估计器的估计性能与信源数目的多少无关。

It is related with an artificial problem, called the maximum simple sharing problem.

证明了最大简单共享问题是NP-hard的，给出了一种简单的贪心算法，并证明该贪心算法的近似度为3。

This mean value theorem of the introduction and in the example on the other the application of proven methods to illustrate the mean value theorem to prove some of the infinitive is very simple.

本文将通过对中值定理的介绍和在例题上的与其他证明方法的比较应用，来说明中值定理对一些不定式的证明是相当简单的。

This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

He will not do so for long, for mercifully the public has the good sense not to buy the inferior article more than once.

如果你看到一个商品一直在做广告，这就是名副其实的最好证明，证明它的质量很好。

Finally, we argue that CRM builders that make use of PWM libraries will benefit greatly from future advances and will prove to be most instrumental for the annotation of regulatory regions in metazoan genomes.

最后，我们证明使用PWM库的CRM生成器将通过未来的进步而获益，并将证明对多细胞基因组中调控区域注释是最有用的。

Based on theoretical research and empirical evidence, the new patch-clamp micropipette electrode system has been good at displacement controlling and gigasealing for cells, but it is necessary to do more experiments for automatically sucking and breaking the plasma membrane and recording the currents of cellular ionic channels.

经过理论研究和实验证明，自行设计的新型膜片钳微管电极系统能很好地实现细胞位移控制和吉欧封接，其细胞自动吸破和记录还有待更多的实验证明。

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！