翻訳と辞書 Words near each other ・ Nimishillen Creek ・ Nimishillen Township, Stark County, Ohio ・ Nimism ・ Nimit ・ Nimit Malavia ・ Nimitala ・ Nimitta Thaveesupsoonthorn ・ Nimitz ・ Nimitz Class (novel) ・ Nimbavali ・ Nimbaye River ・ Nimbeluk ・ Nimbeluk District ・ Nimbeluk Rural District ・ Nimbeolo ・ Nimber ・ Nimberg ・ Nimberga ・ Nimbhi jodhan ・ Nimbhore Budruk ・ Nimbi ・ Nimbia ・ Nimbia occlusa ・ Nimbic ・ Nimbin ・ Nimbin (chemical) ・ Nimbin Rocks ・ Nimbin, New South Wales ・ Nimbit ・ Nimbkar Agricultural Research Institute 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 Nimber ： ウィキペディア英語版 Nimber In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of nim heaps. They arise in a much larger class of games because of the Sprague–Grundy theorem. The nimbers are the ordinal numbers endowed with a new nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. ==Properties== The Sprague–Grundy theorem states that every impartial game is equivalent to a nim heap of a certain size. Nimber addition (also known as nim-addition) can be used to calculate the size of a single heap equivalent to a collection of heaps. It is defined recursively by :$\backslash alpha\; \backslash oplus\; \backslash beta\; =\; \backslash operatorname(\backslash \; \backslash cup\; \backslash ),$ where for a set ''S'' of ordinals, mex(''S'') is defined to be the "minimum excluded ordinal", i.e. mex(''S'') is the smallest ordinal which is not an element of ''S''. 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「Nimber」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.