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arXiv 0710.0689math.FAmath.HO
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凸性与锥-顶点

Convexity and Cone-Vexing

S. Kutateladze

摘要:

凸性的概念滋养了生成、分离、微积分和近似。生成表现为对偶性;分离表现为最优性;微积分表现为表示;近似表现为稳定性。这是一个概述的起源,演变和趋势的凸性。Sobolev研究所的凸性研究是由Leonid Kantorovich(1912- 1986)和Alexandr Alexandrov(1912- 1999)发起的。这是他们记忆的一部分。

英文摘要:

The idea of convexity feeds generation, separation, calculus, and approximation. Generation appears as duality; separation, as optimality; calculus, as representation; and approximation, as stability. This is an overview of the origin, evolution, and trends of convexity. Study of convexity in the Sobolev Institute was initiated by Leonid Kantorovich (1912--1986) and Alexandr Alexandrov (1912--1999). This talk is a part of their memory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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