{"title":"网络模型","authors":"S. Sen","doi":"10.29172/6f3f5cf1363e4d04ac63ca4ae90b47fc","DOIUrl":null,"url":null,"abstract":"The steady flow of electrical current through a network of conductors has served as a suggestive model for a variety of mathematical theories. This paper describes electrical models related to the following theories: series-parallel graphs, parallel addition of matrices, lattice theory, generalized inverses, Grassmann algebra, Wang algebra, matroids, extremal length, Rayleighfe reciprocal relation and the width-length inequality.","PeriodicalId":375483,"journal":{"name":"Fieldbus and Networking in Process Automation","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Network Models\",\"authors\":\"S. Sen\",\"doi\":\"10.29172/6f3f5cf1363e4d04ac63ca4ae90b47fc\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The steady flow of electrical current through a network of conductors has served as a suggestive model for a variety of mathematical theories. This paper describes electrical models related to the following theories: series-parallel graphs, parallel addition of matrices, lattice theory, generalized inverses, Grassmann algebra, Wang algebra, matroids, extremal length, Rayleighfe reciprocal relation and the width-length inequality.\",\"PeriodicalId\":375483,\"journal\":{\"name\":\"Fieldbus and Networking in Process Automation\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fieldbus and Networking in Process Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29172/6f3f5cf1363e4d04ac63ca4ae90b47fc\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fieldbus and Networking in Process Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29172/6f3f5cf1363e4d04ac63ca4ae90b47fc","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The steady flow of electrical current through a network of conductors has served as a suggestive model for a variety of mathematical theories. This paper describes electrical models related to the following theories: series-parallel graphs, parallel addition of matrices, lattice theory, generalized inverses, Grassmann algebra, Wang algebra, matroids, extremal length, Rayleighfe reciprocal relation and the width-length inequality.