翻訳と辞書 Words near each other ・ Proparabosca ・ Proparachaetopsis ・ Proparamenia ・ PROPARCO ・ Propargite ・ Proofing (baking technique) ・ Proofpoint ・ Proofpoint Systems, Inc ・ Proofpoint, Inc. ・ Proofreading ・ Proofreading (biology) ・ Proofs and Refutations ・ Proofs from THE BOOK ・ Proofs involving covariant derivatives ・ Proofs involving ordinary least squares ・ Proofs involving the addition of natural numbers ・ Proofs involving the Laplace–Beltrami operator ・ Proofs involving the Moore–Penrose pseudoinverse ・ Proofs of convergence of random variables ・ Proofs of elementary ring properties ・ Proofs of Fermat's little theorem ・ Proofs of Fermat's theorem on sums of two squares ・ Proofs of quadratic reciprocity ・ Proofs of trigonometric identities ・ Proofs related to chi-squared distribution ・ Prooftext ・ Proomphe ・ Proopiomelanocortin ・ Prooppia ・ Proornis 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 Proofs involving the addition of natural numbers ： ウィキペディア英語版 Proofs involving the addition of natural numbers Mathematical proofs for addition of the natural numbers: additive identity, commutativity, and associativity. These proofs are used in the article Addition of natural numbers. ==Definitions== This article will use the Peano axioms for the definitions of addition of the natural numbers, and the successor function S(a). In particular: For the proof of commutativity, it is useful to define another natural number closely related to the successor function, namely "1". We define 1 to be the successor of 0, in other words, :1 = S(0). Note that for all natural numbers ''a'', 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「Proofs involving the addition of natural numbers」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.