國立成功大學 統計與資料科學學系

Abstract

In this talk, the following important subjects relating geometrical problems and the involved concepts to their corresponding possible statistical solutions will be presented:

1. There can be examples to show practical real-life problems on finding size of length, area, and volume in the natural environment of Euclidean world that cannot be solved by a mathematics professor but may be solved by an elementary school student using simple statistical techniques.
2. There are geometrical phenomena in Euclidean space that cannot be expressed in form of mathematical terms, but they can only be expressed in form of statistical terms.
3. How philosophically and religiously we observe that the created Nature operates in two ways including fission and fusion, where a well-known example is that fusion produces thousands of times of power than fission does in nuclear explosion. We can see that mathematics is a science with fission, while statistics is a science with fusion. Fission is in form of separation, while fusion is in form of combination.
4. The role and effect of randomness that leads to the power of fusion.