由此

Early in the 1950s, in algebraic topology, the concept of graded Hopf algebras was derived from an axiomatization of the works of H. Hopf relating to topological properties of Lie groups. Hence the name,'Hopf algebra'.

50年代初，H.Hopf在研究李群的拓扑性质这一代数拓扑领域的理论工作中引入了分次Hopf代数的概念，"Hopf代数"由此而得名。

People comes olfactory of the desire on infatuation to this city of angel, the life is sought in lead a wandering life, in sadness angle dreams, days from this does backdate arrive of great flat period on century 30 time... Atuluo of writer of Italy descendants youth?

迷恋上欲看味道的人们来到这座天使之城，在漂泊中寻找生活，在忧伤中追逐梦想，时光由此回溯到大萧条时期的上世纪30年代……意大利裔青年作家阿图罗？

And Satan made them backslide therefrom and drove them out from what they were in, and we said,'Go down, one of you the enemy of the other, and in the earth there is an abode and a provision for a time.

和撒旦使他们倒退，并由此将它们从什麼他们在，我们说，'去，你一敌对方，并在地球上有一个居留权，并规定了一段时间。

The results of prediction agree well with the experimental ones. It proves that the thermo-mechanical analysis、the neural network models of flow stress and microstructure as well as the numerical simulation system developed combining coupled thermal-mechanical rigid-viscoplastic FEM with BP neural networks are reliable to describe the hot back extrusion process of Ti15-3 alloy truly. The simulation system has good prediction capacity for the microstructure evolution of Ti-15-3 alloy during hot backward extrusion and after solution treatment. It can be used to replace the experiments for predicting the flowing laws and the distribution of microstructure.

由此证明，本文的热力耦合理论分析、流变应力及显微组织的神经网络预测模型以及采用三维热力耦合刚粘塑性有限元与三层向后传播的人工神经网络相结合的方法开发的Ti-15-3合金筒形件热反挤成形的显微组织数值模拟系统是可靠的，能够真实地描述Ti-15-3合金热反挤工艺过程，并对其反挤成形及固溶处理后的显微组织具有很好的预测能力，可以被用来代替预测其反挤成形规律和组织分布情况的试验。

This can then imagine the baggage car through the section from time to time how difficult, how dangerous.

由此可想像出当年的辎重车通过这段路时有多么艰难、多么危险。

China is one of the few global suppliers of ballistic missiles. and can charge a heavy price.

中国是世界上极少的几个弹道导弹供应商，由此可以索要大价钱。

Finally, typological evidence from English, Baluchi and Greek proves that the grammaticalization cline proposed in Chinese from weak obligation modality to probability modality also applies in some other languages, and these two modalities are conceptually closely related.

最后，本文为从弱义务性情态语法化为或然性认识情态的语法化路径提供了类型学的证据，证明同样的语法化路径存在于英语、俾路支语和希腊语中，由此证明二者在概念上是密切关联的。

Firstly,a involution on Universal Clifford algebra 〓 is introduced.then we equip a inner product and the corresponding two equivalent norms onUniversal Clifford algebra 〓,and then we prove that Universal Cliffordalgebra 〓 is a Banach algebra with one of the above norms,these resultsare very important for further study in this field.

第一，本文创造性地准确地给出了在少Clifford代数〓上的一个对合运算表示，由此，我们给出了在泛Clifford代数〓上的一个内积，然后给出了相应的在泛Clifford代数〓上的两个等价的范数，并证明了若在〓上赋予其中的一个范数，则〓是一个Banach代数，这为在泛Clifford分析中进一步开展工作奠定了初步的基础。

We say distribution has become so glaringly ridiculous that there are only two people out of the 47,000,000 people in this country who approve of the present www.pdf365.com system of distribution-one is the Duke of Northumberland and the other is Lord Banbury.

明白无误的社会主义理论指出，你们必须注意的问题是你们的分配我们必须由此着手，而如果私有财产妨碍公正的分配，就必须予以废除。

We say distribution has become so glaringly ridiculous that there are only two people out of the 47,000,000 people in this country who approve of the present www.tingroom.com 在线英语听力室 system of distribution-one is the Duke of Northumberland and the other is Lord Banbury.

明白无误的社会主义理论指出，你们必须注意的问题是你们的分配我们必须由此着手，而如果私有财产妨碍公正的分配，就必须予以废除。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。