报告题目：与数学科技互动

主讲人： Shuo-Yen Robert LI

Distinguished University Professor

University of Electronic Science & Technology of China

报告时间：2024年12月3日（星期二）10:00-11:30

报告地点：yl8cc永利官网翔安校区yl8cc永利官网1号楼108会议室

报告摘要：

  A mini theme park on mathematical science & technology is under planning. Visitors to the park will interact hands-on with abstract mathematics. Items that are so far planned have been extracted from the electronic book “数学之窗” at:https://book.yunzhan365.com/vmxl/omhk/mobile/index.html

  All institutions are welcome to join the collaboration in the reproduction, refinement, and expansion of the park.The present talk previews several items as exemplified below.

① 隔壁的草皮比较绿

X是未知数。一个盒子藏着￥X, 另一个藏着￥2X. 随机选一个盒子。一旦打开，另一个盒子就必然有较高的期望值。数学真理有时候比量子力学还奇怪。

② 网络编码的快速解码、解密

百年来A major theme in commutative algebra revolves around the question: What can be done in the absence of 除法? 同样地，为了加速计算，网络解码与解密避得开除法吗？可以借助费马小定理 (Fermat’s little theorem) 来解决这个问题。

③ 真假对称性

圆周上取两个随机点将圆断开成两道弧。包含极右点的那道弧姑且称为 “东半”. 试问东半的平均长度是否等于半个圆？如果不是的话，那是多大？

④ 龟兔赛跑, 龟长胜

龟先生跑百米的平均记录是20秒，兔先生则是18秒。两者赛跑时胜算比却一面倒向龟先生。科学真理与童话故事吻合！背后的数学理论是Martingales of patterns.

报告人简介：

     Prof. Li is the founder of network coding theory, algebraic switching theory, and martingales of patterns. He now serves as the Distinguished University Professor as well as Director of Li Institute of Mathematical Technology at UESTC. He is a lifetime Honorary Professor at Xidian University, Harbin Engineering University, UESTC, Southwest Jiaotong University, and Xiamen University. He is also a member of (US) National Academy of AI Science. Previously he has taught at MIT, UI Chicago, and CUHK during 1974-2014 and received various awards from IEEE, ACM, The Chinese Institute of Electronics, and ITRI (Hsinchu, Taiwan). He holds 35 US patents. Along with the lifetime endeavour of bridging between mathematics and engineering, he currently advocates 科教文藝 with a series of electronic books.

邀请人：信息与通信工程系 付立群教授