Time: 16:10-17:00

venue: Mathematics Building Room 527

Speaker: Prof.  Chung-siung Kao (Department of Mathematics, National Chung Cheng University)

Title: The Enormous Advantage of Ease And Liberty of Statistical Geometry on Euclidean Measurement over the known Mathematical Treatments

Abstract:

There are so many facts and views that we can see on length, area and volume of Euclidean objects with statistical geometry initiated and promoted by the speaker. in recent years. However, Suck facts and views cannot be obtained with any mathematical treatment so far. The measurement problems on length, area and volume of an Euclidean object are solved with data of practically available straight-line length, size of planary and cubic angles. In the real world, the shape of the considered Euclidean object is usually irregular and cannot be expressible in mathematical form, However, the object is clearly visible. There is obviously no way to use calculus for finding an answer to the measurement problem. Rather, only sampling with measuring tools for straight-line lengths and angle he sizes upon the considered abject can give us no need for expressing the shape of the object in functional forms. In addition, with this approach of statistical geometry , We have ease and liberty on the starting points and the orientations of the sampling procedure based on the aforesaid facts and views reflected in the statistical theorems that can be derived, and to show a virtue of invariance upon statistical geometry.

Several examples of real problems will be given for detailed illustration.