1 / 9

國立台灣海洋大學

國立台灣海洋大學. 機械與機電工程學系. 我們可以聽出鼓的形狀嗎 ?. 指導教授 : 陳正宗 終身特聘教授 報告人 : 郭柏伸 日期 : 100/5/17. 大綱. 文獻回顧 我們可以聽出鼓的形狀嗎 ?( 流程圖 ) 我們可以聽出鼓的形狀嗎 ?(Case 2) 找出 Case 2 的節點座標 Reference. 文獻回顧. Hendrik Antoon Lorentz. David Hilbert. Hermann Klaus Hugo Weyl. Mark Kac. Gordon 等人. 我們可以聽出鼓的形狀嗎 ?( 流程圖 ).

destiny-butler
Download Presentation

國立台灣海洋大學

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 國立台灣海洋大學 機械與機電工程學系 我們可以聽出鼓的形狀嗎? 指導教授: 陳正宗 終身特聘教授 報告人: 郭柏伸 日期: 100/5/17

  2. 大綱 • 文獻回顧 • 我們可以聽出鼓的形狀嗎?(流程圖) • 我們可以聽出鼓的形狀嗎?(Case 2) • 找出Case 2的節點座標 • Reference

  3. 文獻回顧

  4. Hendrik Antoon Lorentz David Hilbert Hermann Klaus Hugo Weyl Mark Kac Gordon 等人

  5. 我們可以聽出鼓的形狀嗎?(流程圖)

  6. 我們可以聽出鼓的形狀嗎?(Case 2)

  7. 找出Case 2的節點座標

  8. Reference • [1] M. Kac, Can one hear the shape of a drum?, American Mathematical Monthly, 73 part II (1966), pp.1-23. • [2] C. Gordon, D. Webb and S. Wolpert, One cannot hear the shape of a drum, Bulletin of the American Mathematical Society, 27(1992), pp.134-138. • [3] H. P. McKean, Jr. and I. M. Singer, Curvature and the eigenvalues of the Laplacian, 1(1967), pp.43-69. • [4] P. Buser, J. Conway, P. Doyle and K. Semmler, Some planar isospectral domains, International Mathematics Research Notices, (1994), pp.391-400. • [5] T. A. Driscoll, Eigenmodes of isospectral drums, SIAM Review, 39(1997), pp.1-17.

  9. Thanks for your attentions

More Related