{"title":"网络模型","authors":"D. Yen, W. Davis","doi":"10.1201/9781420049107.ch52","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":243054,"journal":{"name":"The Information System Consultant’s Handbook","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Network models\",\"authors\":\"D. Yen, W. Davis\",\"doi\":\"10.1201/9781420049107.ch52\",\"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\":243054,\"journal\":{\"name\":\"The Information System Consultant’s Handbook\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Information System Consultant’s Handbook\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781420049107.ch52\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Information System Consultant’s Handbook","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781420049107.ch52","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.