{"title":"对称的一维细胞空间","authors":"Helge Szwerinski","doi":"10.1016/S0019-9958(85)80033-4","DOIUrl":null,"url":null,"abstract":"<div><p>It is shown that every one-dimensional cellular space with von Neumann neighborhood (each cell connected to its two immediate neighbors) can be simulated in real-time by a cellular space with a symmetrical local transition function with the same neighborhood, and starting with the same configuration. Symmetrical means that the individual cells cannot distinguish between left and right.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":"67 1","pages":"Pages 163-172"},"PeriodicalIF":0.0000,"publicationDate":"1985-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80033-4","citationCount":"15","resultStr":"{\"title\":\"Symmetrical one-dimensional cellular spaces\",\"authors\":\"Helge Szwerinski\",\"doi\":\"10.1016/S0019-9958(85)80033-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>It is shown that every one-dimensional cellular space with von Neumann neighborhood (each cell connected to its two immediate neighbors) can be simulated in real-time by a cellular space with a symmetrical local transition function with the same neighborhood, and starting with the same configuration. Symmetrical means that the individual cells cannot distinguish between left and right.</p></div>\",\"PeriodicalId\":38164,\"journal\":{\"name\":\"信息与控制\",\"volume\":\"67 1\",\"pages\":\"Pages 163-172\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1985-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80033-4\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"信息与控制\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0019995885800334\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995885800334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
It is shown that every one-dimensional cellular space with von Neumann neighborhood (each cell connected to its two immediate neighbors) can be simulated in real-time by a cellular space with a symmetrical local transition function with the same neighborhood, and starting with the same configuration. Symmetrical means that the individual cells cannot distinguish between left and right.
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