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In this paper well use this covariant theory to discuss the prolongation structure of the integrable the inhomogeneous equation of the reaction-diffusion type: By establishing SL(2,R)principal bundle and its associated bundle and finding both 1-dimensional realization and 2-dimensional realization of its algera ,we can successfully give its AKNS-equations and Backlund transformation.

本文就是利用这套协变的延拓结构方法讨论了可积的非其次反应扩散型方程的延拓结构。通过建立SL(2，R)主丛及其伴丛，并找到其李代数的1维和2维实现，我们成功得到了其反散射方程和Backlund变换。

In this dissertation principal component analysis is adopted to bring down input variable dimensions and eliminate the relativities among them.

在本文中，采用主成分分析达到降维和消除变量之间相关性的目的。

I encountered multidimensional and intergalactic beings from different time eras.

我遇到的多维和星系间人类从不同的时间看今朝。

In particular,the C-Autoencoder provides such a bi-directional mapping between the high-dimensional data space and the low-dimensional manifold space and is not only able to overcome the inherited deficiency of most nonlinear dimensionality reduction methods that do not have an inverse mapping but also especially suitable for dimensionality reduction and reconstruction of high-dimensional continuous data.

特别地，这种连续自编码网络可以提供高维连续数据空间和低维嵌套结构的双向映射，不仅有效解决了大多数非线性降维方法所不具备的逆向映射问题，而且特别适用于高维连续数据的降维和重构。

Blair est revenu sur les principaux événements de sa carrière politique, notamment l'intervention britannique au Kosovo et la participation du royaume dans la mission de maintien de la paix en Sierra Leone, ainsi que la participation du pays dans la guerre d'Irak.

在天空电视台直播他的政治讲话时，布莱尔回顾了自己的政治生涯，尤其是英国对科索沃的干涉和英国在塞拉利昂维和任务以及参与伊拉克战争。

This article uses the Fractal and Lyapunov-Bxponent to analyze and discuss the Iterated Function System. Some fractal pictures were drawn using Matlab.

本文利用分形维和李雅普诺夫特征指数对迭代函数系统进行了分析和探讨，并利用Matlab绘制了一些分形图形。

Former President Jimmy Carter found himself on the wrong side of security forces in Darfur.

83岁的美国前总统吉米。卡特发现自己在达尔福尔地区选错了支持的安全部队（惹恼了达尔富尔地区的维和部队）。

Among the dead is the top Burundian military officer in Somalia and deputy commander of the peacekeeping force , General Juvenal Niyoyunguruza .

死亡人种包括来自索马里的首席军士长官尼永央古鲁扎将军，他同时是维和部队的副指挥官，以及一名来自乌干达的主要军事长官穆革杀将军在袭击中受伤。

The deputy commander of the African Union peacekeeping forces in Somalia, Major General Juvenal Niyonguruza, has been killed in Mogadishu.

非洲联盟索马里维和部队副指挥官，Juvenal Niyonguruza少将在摩加迪沙遇难。

The UN maintains its biggest peacekeeping force in the world in Congo, 17,000 strong, but has struggled to impose order on chaotic North and South Kivu.

联合国在刚果维持着它在世界上最为强大的17，000名维和力量，但要在混乱的南北基伍省实行强制的秩序仍十分艰难。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。