翻訳と辞書 Words near each other ・ List of replicas of Noah's Ark ・ List of reported lake monsters ・ List of reported UFO sightings ・ List of reportedly haunted locations ・ List of reportedly haunted locations in Canada ・ List of reportedly haunted locations in Colombia ・ List of reportedly haunted locations in France ・ List of reportedly haunted locations in La Candelaria ・ List of reportedly haunted locations in Mexico ・ List of reportedly haunted locations in Romania ・ List of reportedly haunted locations in the United States ・ List of reporters for ITV News ・ List of reporting software ・ List of repositories ・ List of representation theory topics ・ List of representations of e ・ List of representative offices of Nagorno-Karabakh ・ List of representative offices of Somaliland ・ List of Representatives and Senators of Arizona Legislature by Districts ・ List of representatives elected in the Philippine House of Representatives elections, 2010 ・ List of Representatives on Mission ・ List of Reprise Records artists ・ List of reproductive issues ・ List of reptiles ・ List of reptiles and amphibians in the Aegean ・ List of reptiles in Madagascar ・ List of reptiles of Afghanistan ・ List of reptiles of Africa ・ List of reptiles of Alabama ・ List of reptiles of Australia 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 List of representations of e ： ウィキペディア英語版 List of representations of e The mathematical constant can be represented in a variety of ways as a real number. Since is an irrational number (see proof that e is irrational), it cannot be represented as a fraction, but it can be represented as a continued fraction. Using calculus, may also be represented as an infinite series, infinite product, or other sort of limit of a sequence. ==As a continued fraction== Euler proved that the number is represented as the infinite simple continued fraction : :$e\; =\; (1,\; \backslash textbf,\; 1,\; 1,\; \backslash textbf,\; 1,\; 1,\; \backslash textbf,\; 1,\; 1,\; \backslash textbf,\; 1,\; 1,\; \backslash ldots,\; \backslash textbf,\; 1,\; 1,\; \backslash ldots).\; \backslash ,$ Its convergence can be tripled by allowing just one fractional number: :$e\; =\; (1\; ;\; \backslash textbf\; ,\; 12\; ,\; 5\; ,\; 28\; ,\; 9\; ,\; 44\; ,\; 13\; ,\; 60\; ,\; 17\; ,\; \backslash ldots\; ,\; \backslash textbf\; ,\; \backslash textbf\; ,\; \backslash ldots).\; \backslash ,$ Here are some infinite generalized continued fraction expansions of . The second is generated from the first by a simple equivalence transformation. :$$ e= 2+\cfrac}}}} = 2+\cfrac}}}} :$e\; =\; 2+\backslash cfrac\}\}\}\}\; =\; 1+\backslash cfrac\}\}\}\}$ This last, equivalent to (0.5, 12, 5, 28, 9, ... ), is a special case of a general formula for the exponential function: :$e^\; =\; 1+\backslash cfrac\; \}\}\}\}$ 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「List of representations of e」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.