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交叉数字：从艺术和电路设计到结和数论Crossing Numbers: From Art and Circuit Design to Knots and Number Theory |
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| 课程网址: | http://videolectures.net/8ecm2021_mohar_crossing_numbers/ |
| 主讲教师: | Bojan Mohar |
| 开课单位: | 卢布尔雅那大学 |
| 开课时间: | 2021-07-06 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | In 1864, Sylvester asked what is the probability that four randomly chosen points in the plane form a convex quadrilateral. During World War II, Paul Tur´an asked about an optimal design of railroads connecting n factories with m warehouses. In 1950s, the British painter Anthony Hill asked how to draw a network of n interconnected nodes with fewest number of crossings. All these questions are still unresolved. The speaker will overview mathematical foundations of the common theme — the theory of crossing numbers of graphs — and will show some surprising relations with other branches of mathematics. |
| 关 键 词: | 交叉数理论; 数学基础; 数学历史 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2022-03-29：hqh |
| 最后编审: | 2022-03-29：hqh |
| 阅读次数: | 37 |