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Between 1910 and 1913 Bertrand Russell and Alfred North Whitehead published their three-volume "Principia Mathematica", in which, among other things, they sought to solve certain paradoxes that arose from Cantor's work.

在1910年-1913年间罗素和怀特海发表了他们的三卷作品《数学原理》除了其它内容之外，两人寻求要解决从康托尔工作中产生的某些悖论。

Thomas and Alfred were two best friends.

托马斯和阿尔弗雷德是很要好的朋友。

A research student. I want to learn some complexity theory, mathematics theory such as Computational number theory,Algorithmic Algebra,Algebraic function fields over finite fields and the group thoery.

当我正式进入大学院，成为院生的时候，在修士学习的第一年中，我学习一些算法研究和暗号理论的课程，我将学习一些比较难的暗号算法，比如椭圆曲线暗号，我还将学习电子署名，拟似乱数，电子透かし，认证，键管理，键回复，键预托和zero知识证明等等。

The Todd polynomials were first studied in algebraic geometry and it is surprising that they play this fundamental role in classification of manifolds .

托德 多项式第一次被学习在代数几何并且它惊奇他们充当在多头管的分类的这个根本角色。

A high degree of social mobility has always defined American culture, from the work of Alexis de Tocqueville and Horatio Alger to the remarkable story of Barack Obama himself.

无论是亚力克西德托克维尔和霍雷肖阿尔杰的著作，还是巴拉克奥巴马个人辉煌的传记，都表明，美国文化由高度的社会流动所定义。

A member of the Algonquian people formerly living the Hudson valley and eastward to the Housatonic .

一个从前住在哈德逊河流域和哈斯托内克东部的属于阿尔冈琴语系的民族的人。

Each Native American culture has its own name for this power, but early white settlers learned the Algonquian term manito.

每种美洲土著文化都给这种力量起了不同的名字，但是最早定居在那里的白人学到的是一个阿尔刚奎恩语的名字：玛尼托。

The bracketless invisible aligner technique has been considered as a new developed orthodontic technique since its appearance during the period of late 1990s.

无托槽隐形矫治技术是20世纪90年代后期出现的一种新兴正畸矫治技术。

In the center of innovations are the iROK System, the most advanced Clear Aligner Treatment device with the best clinical efficacy; and OrthoRx digital orthodontic diagnostic and planning software.

正畸领域正面临着前所未有的创新机会。iROK隐形正畸系统是目前世界上最先进的无托槽隐形正畸（CAT，Clear Aligner Treament）体系，具有最好的临床疗效果。

It is found that quaternary ammonium salt and alkylamine can react with montmorillonite and rectorite via cation exchange reaction and the resulting OMMT and OREC can act as nano-scale filler to PPC materials due to its increasingly swollen gallery spacing.

主要研究结果如下：(1)采用阳离子交换法，制备了不同的有机胺改性的有机蒙脱土和有机累托石，用XRD， FTIR， TGA表征了插层效果。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。