正规数 (整数)
正规数()是指可以整除60的乘幂的整數,也就是60乘幂的的因數,例如602 = 3600 = 48 × 75,48和75都可以整除60的平方,也都是正规数。
在許多數學及應用的領域會用到60乘幂的因數,在不同的領域中其名稱也有所不同。
注释
- Inspired by similar diagrams by Erkki Kurenniemi in "Chords, scales, and divisor lattices".
参考资料
- Aaboe, Asger, , Journal of Cuneiform Studies (The American Schools of Oriental Research), 1965, 19 (3): 79–86, JSTOR 1359089, MR 0191779, doi:10.2307/1359089.
- Asmussen, Robert, (PDF), Ph.D. thesis, Univ. of Leeds, 2001 [2012-12-27], (原始内容 (PDF)存档于2016-04-24).
- Barton, George A., , Journal of the American Oriental Society (American Oriental Society), 1908, 29: 210–219, JSTOR 592627, doi:10.2307/592627.
- Bruins, E. M., , Finet, André (编), , Comité belge de recherches en Mésopotamie: 99–115, 1970.
- Conway, John H.; Guy, Richard K., , Copernicus: 172–176, 1996, ISBN 0-387-97993-X.
- Dijkstra, Edsger W., (PDF), 1981, Report EWD792. Originally a privately-circulated handwitten note.
- Eppstein, David, , 2007, (原始内容存档于2011-07-21).
- Gingerich, Owen, , Transactions of the American Philosophical Society (American Philosophical Society), 1965, 55 (8): 3–38, JSTOR 1006080, doi:10.2307/1006080.
- Habens, Rev. W. J., , Proceedings of the Musical Association (Royal Musical Association), 1889, 16: 16th Session, p. 1, JSTOR 765355.
- Halsey, G. D.; Hewitt, Edwin, , American Mathematical Monthly (Mathematical Association of America), 1972, 79 (10): 1096–1100, JSTOR 2317424, MR 0313189, doi:10.2307/2317424.
- Hemmendinger, David, , ACM SIGPLAN Notices, 1988, 23 (4): 81–86, doi:10.1145/44326.44335.
- Heninger, Nadia; Rains, E. M.; Sloane, N. J. A. . 2005. arXiv:math.NT/0509316..
- Honingh, Aline; Bod, Rens, , Journal of New Music Research, 2005, 34 (3): 293–303, doi:10.1080/09298210500280612.
- Knuth, D. E., , Communications of the ACM, 1972, 15 (7): 671–677, doi:10.1145/361454.361514. Errata in CACM 19(2), 1976. Reprinted with a brief addendum in Selected Papers on Computer Science, CSLI Lecture Notes 59, Cambridge Univ. Press, 1996, pp. 185–203.
- Longuet-Higgins, H. C., , Music Review, 1962, (August): 244–248.
- McClain, Ernest G.; Plato, , Journal of Music Theory (Duke University Press), 1974, 18 (2): 242–272, JSTOR 843638, doi:10.2307/843638.
- Sachs, A. J., , Journal of Cuneiform Studies (The American Schools of Oriental Research), 1947, 1 (3): 219–240, JSTOR 1359434, MR 0022180, doi:10.2307/1359434.
- Silver, A. L. Leigh, , American Mathematical Monthly (Mathematical Association of America), 1971, 78 (4): 351–357, JSTOR 2316896, doi:10.2307/2316896.
- Størmer, Carl, , Skrifter Videnskabs-selskabet (Christiania), Mat.-Naturv. Kl., 1897, I (2).
- Temperton, Clive, , SIAM Journal on Scientific and Statistical Computing, 1992, 13 (3): 676–686, doi:10.1137/0913039.
- Yuen, C. K., , ACM SIGPLAN Notices, 1992, 27 (8): 71–75, doi:10.1145/142137.142151.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.