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First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念,给出了可极化Carnot群上齐次模的若干性质,然后构造了一类非散度型次椭圆方程及其非平凡解,由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一,进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

These contemporary observations and descriptions present Tubman at once in her ordinariness and her extraordinariness, render her as both real and impossibly heroic, and offer us the best opportunity to begin to understand how and why Harriet Tubman ''rocked the world.

这些当代的评论和描述同时呈现了塔布曼的平凡和不凡,使她显得既真实又难以置信地英雄化,并为我们提供了最好的机会,让我们开始了解哈丽雅特·塔布曼是怎样去"震撼世界"的,以及她为何会"震撼世界"。

Living the dream Something in between a trade fair, a funfair and a template for global do...

做你自己的主人,成为拯救自己的英雄。。。11岁的尼姆·鲁索不是那种你通常会见到的平凡女孩,她和科。。。

Greeley' s roots were in fact extremely modest, and his youth was spent on a run-down farm.

要追根溯源的话,格利雷的家庭背景的确是平凡之至,他的青年时代是在一个破败衰落的农场里度过的。

While many of China's homespun heroes are the creation of the Government's propaganda machine, second right brother's celebrity appears to be entirely organic.

正如许多中国的平凡英雄是政府宣传机器的产物,右二哥哥的八卦显然完全是有组织的。

Their life consisted of the humdrum activities of everyday existence.

他们的生活由日常生存的平凡活动所构成。2。单调的;无聊的

In the second part, we study the attractor of Iterated Function Systems on Rd with non-constant contractive ratios, which generalizes the classical result.

在第二部分我们研究Rd上的迭代函数系的不变集,特别我们考虑了压缩系数不是常数的情形,所得结果给出了经典结果的一个非平凡推广。

We may want to go reread some of her more lapidary work, now appreciating the vulnerable soul that shared a body with that radical will.

桑塔格,她和每个平凡人一样也带有瑕疵。我们会想去重读她的那些更经典的作品,品味这脆弱的灵魂如何塑造了这一具蕴含激进思想的身躯。

Mathieu[17] discribe the form of Lie derivations on primitive ring whose charater is not 2 and which has no non-trivial idempotent. After that, Miers[18],Mathieu and Villena[19] also study Lie derivations on Von Neumann algebra and algebra.

Martindale[17]首先讨论了特征不等于2且含非平凡幂等元的本原环上的Lie导子的表达形式,随后Miers[18],Mathien和Villena[19]也分别对VN代数,C~*-代数上的Lie导子进行了刻画。

However they are intended to reinforce a mindset of simplicity which leads directly to the creation of maintainable, quality software.

支柱似乎是显而易见的,甚至有点平凡,但他们的目的是加强一个简单的心态直接导致的维护,建立优质软件。

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With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐,因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。