二項係数
□記事を途中から表示しています
[最初から表示]
^ Munarini, Emanuele (2011), “Riordan matrices and sums of harmonic numbers”, Applicable Analysis and Discrete Mathematics 5 (2): 176-200, doi:10.2298/AADM110609014M, MR2867317 .
参考文献.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-100{font-size:100%}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}
Ash, Robert B. (1990) [1965]. Information Theory. Dover Publications, Inc.. ISBN 0-486-66521-6. http://www.amazon.com/Information-Theory-Dover-Books-Mathematics/dp/0486665216
Benjamin, Arthur T.; Jennifer, Quinn (2003). Proofs that Really Count: The Art of Combinatorial Proof. Mathematical Association of America. ISBN 978-0-88385-333-7. https://www.maa.org/press/books/proofs-that-really-count-the-art-of-combinatorial-proof
Bryant, Victor (1993). Aspects of Combinatorics. Cambridge University Press. ISBN 0-521-41974-3
Flum, Jorg; Grohe, Martin (2006). ⇒Parameterized Complexity Theory. Springer. ISBN 978-3-540-29952-3. ⇒http://www.springer.com/east/home/generic/search/results?SGWID=5-40109-22-141358322-0
Fowler, David (1996-01). “The binomial coefficient function”. The American Mathematical Monthly (Mathematical Association of America) 103 (1): 1-17. doi:10.2307/2975209. JSTOR 2975209
Goetgheluck, P. (1987). “Computing binomial coefficients”. American Math. Monthly 94: 360-365. doi:10.2307/2323099.
Graham, Ronald L.; Knuth, Donald E.; Patashnik, Oren (1994). Concrete Mathematics (Second ed.). Addison-Wesley. pp. 153-256. ISBN 0-201-55802-5
Higham, Nicholas J. (1998). Handbook of Writing for the Mathematical Sciences. SIAM. p. 25. ISBN 0-89871-420-6
Knuth, Donald E. (1997). The Art of Computer Programming, Volume 1: Fundamental Algorithms (Third ed.). Addison-Wesley. pp. 52-74. ISBN 0-201-89683-4
Singmaster, David (1974). “Notes on binomial coefficients. III. Any integer divides almost all binomial coefficients”. Journal of the London Mathematical Society 8 (3): 555-560. doi:10.1112/jlms/s2-8.3.555.
Shilov, G. E. (1977). Linear Algebra. Dover Publications. ISBN 978-0-486-63518-7
外部リンク
『二項係数の有名公式一覧と2つの証明方針』 - 高校数学の美しい物語
『二項係数の和，二乗和，三乗和』 - 高校数学の美しい物語
Hazewinkel, Michiel, ed. (2001), “Binomial coefficients”, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Binomial_coefficients
Andrew Granville (1997). ⇒“Arithmetic properties of binomial coefficients I. Binomial coefficients modulo prime powers”. CMS Conf. Proc 20: 151-162. ⇒http://www.cecm.sfu.ca/organics/papers/granville/Binomial/toppage.html.
記事の検索おまかせリスト▼オプションを表示暇つぶしWikipedia
Size:157 KB
出典: フリー百科事典『ウィキペディア（Wikipedia）』
担当:undef