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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Continuous spatial automaton ： ウィキペディア英語版 Continuous spatial automaton Continuous spatial automata, unlike cellular automata, have a continuum of locations, while the state of a location still is any of a finite number of real numbers. Time can also be continuous, and in this case the state evolves according to differential equations. One important example is reaction-diffusion textures, differential equations proposed by Alan Turing to explain how chemical reactions could create the stripes on zebras and spots on leopards. When these are approximated by CA, such CAs often yield similar patterns. Another important example is neural fields, continuum limit neural networks where average firing rates evolve based on integro-differential equations.〔H R Wilson and J D Cowan. Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical Journal, 12:1–24, 1972.〕〔H R Wilson and J D Cowan. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik, 13:55–80, 1973.〕 Such models demonstrate spatiotemporal pattern formation, localized states and travelling waves.〔S Amari. Dynamics of pattern formation in lateral inhibition type neural fields. Biological Cybernetics, 27:77–87, 1977.〕〔http://www.scholarpedia.org/article/Neural_fields〕 They have been used as models for cortical memory states and visual hallucinations.〔G B Ermentrout and J D Cowan. A mathematical theory of visual hallucination patterns. Biological Cybernetics, 34:137–150, 1979.〕 MacLennan () considers continuous spatial automata as a model of computation, and demonstrated that they can implement Turing-universality.〔David H. Wolpert and Bruce J. MacLennan, A Universal Field Computer That is Purely Linear, University of Tennessee, Knoxville, Department of Computer Science Technical Report CS-93-206, September 14, 1993, 28 pp. http://web.eecs.utk.edu/~mclennan/papers/ut-cs-93-206.pdf〕 ==References== 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「Continuous spatial automaton」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.