摘要
In this paper we discuss some basic criteria and theories for sequences to be uniformly distributed. Specic examples of uniformly distributed sequences are described throughout this paper. Some simple generalizations can be found in later section.
關鍵字
均勻分佈參考文獻
[1] Kuipers, L. and Niederreiter, H., Uniform distribution of sequences. Wiley-
[2] Weyl, H. Uber ein Problem aus dem Gebiete der diophantischen Approximationen,
[3] Van der Corput, J. G., Zahlentheoretische Abschatzungen. Math. Ann. 84, 53-79,
[4] Van der Corput, J. G., Diophantische Ungleichunge I. Zur Gleichverteilung modulo
[5] Koksma, J.F., Ein mengentheoretischer Satz uber die Gleichverteilung modulo Eins.
延伸閱讀
- 余長義、林真真（2013）。應用離散型褶積公式計算離散均勻分配和之機率函數。智慧科技與應用統計學報，11(2)，29-35。https://www.airitilibrary.com/Article/Detail?DocID=1812433x-201312-201401080024-201401080024-29-35
- 林劭旻（2020）。基於不平衡資料分類方法之研究〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu202000680
- 謝正義、陳明志、許志揆、賴進松（2009）。非均勻地形風場之數值模擬研究。農業工程學報，55(1)，81-91。https://doi.org/10.29974/JTAE.200903.0008
- Jiang, J., Shu, L., & Tian, X. (2011). On Generalized Transitive Matrices. Journal of Applied Mathematics, 2011(), 211-226-013. https://doi.org/10.1155/2011/164371
- Bin, Y. (2010). Semidefinite Programming Problems [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2010.00422