几何学者

Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

In 1943 - 1945, he worked in the Institute for Advanced Study at Princeton. Having arrived in the United States for two months, he finished his famous paper entitled "A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds", which inspired other differential geometers.

抵美两个月后，即完成其著名的论文──《闭曲面流形高斯--博内公式(Gauss-Bonnet Formula)的一个简单的内蕴证明》，对於后来微分几何的发展和微分几何学者的研究影响深远。

The major purpose of this article was to illustrate the innovating instruction of the topic-"triangle" for the third graders. From the experience of the classrooms, it is considered that the curriculum is only to instill into children some geometric nouns, such as the sides, the apexes and the angles. A closed graph with three angles is usually to be named as a triangle without thinking about children's understanding of the real meaning.

本文的主要目的乃是针对教学者本身以往在教国小三年级学童的「三角形」这个单元时，自觉只是在灌输孩子一些几何的名词，例如：这个就是边、顶点和角；有三个角的封闭图形就是三角形，并没有去考虑到孩子是否真正的理解这些语词的涵意。

"A geometer like Riemann might almost have foreseen the more important features of the actual world.

"，"一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特徵。

A geometer like Riemann might almost have foreseen the more important features of the actual world.

一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特征。

The queueing system with pure limited and single vacation, besides the queueing systems with feedback times having geometric distribution have been studied by many researchers and a lot of results have been obtained.

具有纯有限服务单假时间排队模型和反馈次数服从几何分布的排队模型已经得到许多学者的研究，获得了不少成果。

Mercury signifies Clerks, Philosophers, Astrologers, Geometricians,Arithmeticians, Latine writers, and Painters, and all subtil Artists,as well men as women, and their Arts.

水星象征着职员/店员/办事员、哲学家、占星家、几何学者、算术家、拉丁文写作者、画家，以及所有微妙的艺术家，包括男人、女人，及他们的艺术品。

In order todiscuss the structure of operator algebra, in recent years, many scholars have focusedon linear maps and various multiplieative maps on opcrator algebras, and studied thealgebraic and geomrtrial properties and the problem of classification of these mapsMany deep and intercepting results have been achieved, and many new ideals and meanswas introduced.

为了进一步探讨算子代数的结构，近年来国内外许多学者对算子代数上的线性映射和各种可乘映射进行了系统研究，探讨这些映射的代数和几何性质以及刻画分类问题，取得丰富成果并不断提出新的思路和方法。

Some of the seventeenth -century geometers undertook to answer these questions.

十七世纪的一些几何学者就开始寻找这些问题的答案。

"A geometer like Riemann might almost have foreseen the more important features of the actual world.

&，&一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特徵。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。