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Lastly we consider the perturbation bound on Hermitian positive semidefinte factors for unitrary polar decomposition (see 5.1), whichimprove and extend the corresponding results in other papers.

第五章讨论了在矩阵酉极分解中Hermite半正定因子的扰动(见§5.1)，对以往的结果做了改进。

The papers show ministers expect national protests similar to the poll tax rebellions of the Thatcher era, with millions prepared to risk criminal prosecution.

文件显示，部长们期望国家的抗议类似人头税的反叛的撒切尔时代，拥有数以百万计的风险准备刑事起诉。

And newspaper publishers pontificate about free-trade theory, as they see their advertisers flee and their papers shrink.

而且报纸出版商大肆吹擂自由贸易理论，当他们注意到他们的广告客户逃走的时候和他们的报纸减少。

Your name have pop up from time to time in the papers.

你的名字不时在报纸上出现。

Your name has popped up from time to time in the papers.

你的名字不时在报纸上出现。

At last, this papers provides some reseaches and the fuction of the realization of Portrait-sketching to most programmers and scholars in machine vision domain.

为广大程序员和科研学者提供了一些研究结果和实现人物头像素描化的数学模型。

For the Ricci flow on n-dimensional (n ≥ 4) manifolds, if the initial metric possess positive curvature operator and strong pinching conditions, then we can get the similiar results, consult the reference papers , and .

对于维数n≥4的黎曼流形，如果初始的度量的正曲率算子加上足够强的拼挤条件，也能够得到类似的结果，参见[Hu1]，和。

All but one of the papers submitted for consideration adopted an essentially positivist approach.

所有除了其中一张纸为考虑递交了本质上采取了一种实证主义者方法。

Hithreto, television narrative research has already become an important region in postclassical narratology. Yet the research achievement on television advertisiment which is one of the most common television programmes is still very rare. In spite of the sporadic papers of television advertisiment narrative research, it has not form an integrity subject system at all.

迄今为止，电视的叙事学研究己经成为了后经典叙事学中的一个重要领域，但对于电视节目中一个最常出现的节目形态——电视广告，其叙事学研究理论成果还非常稀少，虽有零星研究论作的出现，却远远没有形成一个完整独立的学科体系。

Professor Kuang has been working in nanostructured materials and dye-sensitized solar cells. He has published a series of good papers in nanomaterials, mesoporous materials and dye-sensitized solar cells. Professor Kuang has been worked with Professor Graetzel, who is the inventor of dye-sensitizedsolar cell, for more than three years as a postdoctorate.

匡老师一直从事功能性纳米材料及染料敏化太阳电池的研究，在纳米材料、中孔材料、染料敏化太阳电池方面发表了一系列高水平的文章，曾在染料敏化太阳电池创始人Graetzle教授研究有过3年多的博士后研究经历。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新