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Then, combing with the two lemmas above, we can compute the critical groups at infinity of the original functional precisely.

于是结合上面的两个引理,我们能精确地计算原泛函在无穷远处的临界群。

This dissertation is mainly about the scalar field in curved black hole spacetime backgrounds assumed to be asymptotic de Sitter space at infinity.

本文的主要内容是关于黑洞视界外部时空中的标量场,我们选择的黑洞时空在无穷远处是渐近de Sitter时空。

Then, we consider the Lyapunov-Schmidt reduction method from the Morse theoretical point of view. We prove that the critical groups at infinity of the reduced functional are isomorphic to those of the original functional.

接下来,我们从Morse理论的角度来考察著名的Lyapunov-Schmidt约化方法,证明了原泛函与约化后的泛函在无穷远处的临界群是同构的。

Moreover, a example is also included to illustrate the main result obtained when f has suplinear growth at zero and at infinity in z.

另外,当f在原点处和无穷远处关于z超线性增长的情况下举例验证了所得到的主要结论。

At this point, the distance suddenly there was a vague person.

就在这时,远处突然出现了一个模模糊糊的人。

I am restless,I am athirst for farway things.my soul goes out in loning to touch the skirt of the dim distance.

我心绪不定,我渴望这遥远的事物。灵魂在极想中走出,想要去触摸幽暗的远处的边缘。

Thus he contemplated himself, so to speak, face to face, and at the same time, athwart this hallucination, he perceived in a mysteri depth a sort of light which he at first took for a torch.

我们 可以这样说,他正望着他自己,面面相觑,并且同时通过那种幻景,在一种神妙莫测的深远处看见一点光,起初他还以为是什么火炬

Thus he contemplated himself, so to speak, face to face, and at the same time, athwart this hallucination, he perceived in a mysterious depth a sort of light which he at first took for a torch

我们可以这样说,他正望着他自己,面面相觑,并且同时通过那种幻景,在一种神妙莫测的深远处看见一点光,起初他还以为是什么火炬

But this time, when I stood on the shore of the place where Changjiang river infloods the sea, when I heard the howling sea breeze, and when I saw the beach overgrown with green grass and also farther yellow seawater stretched to the horizon, I was totally affected.

但是,这一次,当我站在长江入海口的岸边,耳畔是呼啸而过的海风,眼前是一大片长满青草的滩涂,以及更远处一望无际的浑黄的海水,我还是无法不动容。

I heard the mission bell. and I was thinking to myself

我听到远处教堂的钟声,我在心里对自己说

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推荐网络例句

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。