1.Gauss assigned to Riemann the subject of the foundations of geometry as the one on which he should deliver his qualifying lecture.
Gauss给Riemann指定把几何基础作为他应该发表的就职演说的题目。
2.Manuel Riemann: Disappointment is the main emotion at the moment, because we were so close to a miracle.
此时此刻，失望是主要的情绪，因为我们曾经离奇迹那么近。
3.This paper discusses number of equivalent propositions and characteristics for integrable in the sense of Riemann.
本文这种讨论了R（黎曼）可积的若干等价命题及其特征。
4.This article discusses the analyzing nature of Dirichlet function and Riemann function .
本文讨论了狄利克雷函数、黎曼函数的分析性质。
5.Analytic number theory is fortunate to have one of the most famous unsolved problems, the Riemann hypothesis.
解析数论非常幸运还有一个最为有名的未解决的问题，即黎曼假设。
6.Sometimes we were unlucky, and sometimes we were denied by an outstanding Manuel Riemann.
有时是我们缺少运气，有时是被表现突出的守门员里曼化解。
7.Christoffel's major concern was to reconsider and amplify the theme already treated somewhat sketchily by Riemann.
Christoffel主要关心的是重新考虑和详细论述Riemann已经稍为粗略地讨论过的题目。
8.The paper points out finally that the study of the idea of Riemann for geometry should be considered thoroughly.
研究黎曼几何思想不能把各学科分开考虑，必须全面考虑其间关系。
9.It will also be capable of evaluating definite integrals and Riemann sums.
同时，它还可处理定积分和黎曼积分。
10.Music logic is an intrinsic nature which realizes music existence and embodies Riemann's understanding about music essence.
音乐逻辑是音乐得以存在的一种内在的规定性，体现着里曼关于音乐本质的认识。