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Based on the above consideration, it is done to improve and complement the previous theory.

在上述考虑问题的基础上对现有的理论进行了修改和完善。

The left inverse perfect shuffle, right perfect shuffle and the right inverse perfect shuffle are discussed complementally based on some reports on left perfect shuffle in previous papers.

针对目前已经采用的实现左混洗变换方法的不足，提出了利用微光学衍射元件实现全混洗变换的方法。

This video is complementary to the previous chapter.

此视频是相辅相成的上一章。

It has some advantages over the previous methods, for instance, simplicity in complementation and high accuracy in estimation.

其次提出了基于基础矩阵的三线性约束关系估计方法，该方法与以往的三线性估计方法相比，具有简单易实现，且估计精度比较高的优点。

Using bi-imaginary number representation, complex multiplication is simplified into two multiplication, instead of four ones in the previous method.

为克服空间带宽积的限制，提出了利用有限的外积乘法单元，通过矩阵分块和矢量循环流动进行任意维数矩阵与矢量运算算法，处理器利用率高。

To personage of chief foreign nationality of Aobama selected, the reason that Baidu gives out is: This African descendants black of 47 years old, with the one's previous experience of complex, careless root, 2008 in American general election, with the attitude of an a dark horse, have his moment quickly, obtain include Chinese netizen inside the eager attention of whole world netizen.

对于首位外籍人士奥巴马的入选，百度给出的理由是：这位47岁的非洲裔黑人，以复杂、草根的出身，在2008年美国大选中，以一匹黑马的姿态，迅速走红，获得包括中国网民在内的全世界网民的热切关注。

Is because unit complex procedures, many of the previous purchase of residential housing reform policy although residents have lived for many years, but did not permit the timely processing of property.

据悉，因为单位手续复杂，许多以前按房改政策购买的住宅虽然居民已居住多年，但并没有及时办理产权证。

China's regional economic growth disparity has received much attention. Previous studies focus on the evolution law, composition and underlying forces of the regional economic growth disparity.

中国地区经济增长差距是近些年经济界密切关注的一个热点问题，迄今的研究涉及到地区经济增长差距的演变发展规律、差距构成以及产生原因等多个角度。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

There are some obvious shortcomings in the previous studies of computer vision.

在以往的人工视觉计算中存在这样几个显著的不足。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。