Jordan algebraic technique provides a useful tool for describing and analyzing symmetric cone optimization problem , and the jordan frame plays an important role in euclidean jordan algebras 摘要若当代数技术是描述和分析对称锥优化的一个有效工具，若当基底的欧几里德若当代数中具有重要的作用。
Mathematical laws are universal and have remained unchanged since the beginning of time . euclid , euler and all the others discovered and put into words things that were already there 数学规律，从古至今，放之四海而皆准。欧几里德、欧拉，以及其他数学家们，发现了这些规律，然后用文字表达出来。
Mathematical laws are universal and have remained unchanged since the beginning of time . euclid , euler and all the others discovered and put into words things that were already there 数学规律从古至今是放之四海而皆准的普遍真理。欧几里德、欧拉等等数学家们，只不过把这些规律发现了然后用文字表述出来罢了。
Mathematical laws are universal and have remained unchanged since the beginning of time . euclid , euler and all the others discovered and put into words things that were already there 数学法则，从古至今，放之四海而皆准，亘古不变。欧几里德、欧拉，以及其他数学家们，只不过是发现了这些规律，加以文字表述而已。
We conclude the thesis with chapter 5 by proposing some problems for further research on the euclidean 2 - connected steiner network problem and also other generalized steiner problems 在第五章中，我们对欧几里德2 -连通steiner网络问题，广义欧几里德steiner问题和其他广义steiner问题提出了一些可以进一步研究的问题。
In chapter 1 , after an introduction on the terminology and notations , we provide a survey on the euclidean 2 - connected steiner network problem and a general introduction of the main results of the thesis 论文的第一章介绍了关于欧几里德2 -连通steiner网络问题的一些基本概念和最新研究进展，并且介绍了本论文的主要创新之处。
In this paper , a new architecture of hardware decoder based on the modified euclidean algorithm ( mea ) is provided , and it is called the fprme ( fully - pipelined recursive modified euclidean ) decoder 本文基于修正的欧几里德算法( mea )设计了一种新的硬件解码器实现结构,称其为fprme ( fully - pipelinedrecursivemodifiedeuclidean )解码器。
