翻訳と辞書 Words near each other ・ Generalized quadrangle ・ Generalized quantifier ・ Generalized randomized block design ・ Generalized relative entropy ・ Generalized Riemann hypothesis ・ Generalized second-price auction ・ Generalized selection ・ Generalized semi-infinite programming ・ Generalized signal averaging ・ Generalized singular value decomposition ・ Generalized spectrogram ・ Generalized star height problem ・ Generalized suffix tree ・ Generalized symmetric group ・ Generalized System of Preferences ・ Generalized taxicab number ・ Generalized Timing Formula ・ Generalized Tobit ・ Generalized tree alignment ・ Generalized trichoepithelioma ・ Generalized trigonometry ・ Generalized TTL security mechanism ・ Generalized vaccinia ・ Generalized valence bond ・ Generalized vector space model ・ Generalized Verma module ・ Generalized Wiener filter ・ Generalized Wiener process ・ GeneralizedTime ・ Generalkommandoen Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Generalized taxicab number ： ウィキペディア英語版 Generalized taxicab number In mathematics, the generalized taxicab number ''Taxicab''(''k'', ''j'', ''n'') is the smallest number which can be expressed as the sum of ''j'' ''k''th positive powers in ''n'' different ways. For ''k'' = 3 and ''j'' = 2, they coincide with taxicab numbers. :$\backslash mathrm(1,\; 2,\; 2)\; =\; 4\; =\; 1\; +\; 3\; =\; 2\; +\; 2.$ :$\backslash mathrm(2,\; 2,\; 2)\; =\; 50\; =\; 1^2\; +\; 7^2\; =\; 5^2\; +\; 5^2.$ :$\backslash mathrm(3,\; 2,\; 2)\; =\; 1729\; =\; 1^3\; +\; 12^3\; =\; 9^3\; +\; 10^3$ - famously stated by Ramanujan. Euler showed that :$\backslash mathrm(4,\; 2,\; 2)\; =\; 635318657\; =\; 59^4\; +\; 158^4\; =\; 133^4\; +\; 134^4.$ However, ''Taxicab''(5, 2, ''n'') is not known for any ''n'' ≥ 2; no positive integer is known which can be written as the sum of two fifth powers in more than one way.〔 〕 ==See also== *Cabtaxi number 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Generalized taxicab number」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.