{"title":"“A分形特征向量”中的vi<e:1>公式","authors":"R. Robinson","doi":"10.5206/mt.v1i2.14367","DOIUrl":null,"url":null,"abstract":"This paper explores a relationship of the asymptotic behavior ofthe leading element of eigenvectors belonging to the dominant eigenvalueof a recursively-constructed family of Mandelbrot matrices toViète's formula, helping to explain the appearance of π in thiselement.","PeriodicalId":355724,"journal":{"name":"Maple Transactions","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Viète's formula in \\\"A Fractal Eigenvector\\\"\",\"authors\":\"R. Robinson\",\"doi\":\"10.5206/mt.v1i2.14367\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper explores a relationship of the asymptotic behavior ofthe leading element of eigenvectors belonging to the dominant eigenvalueof a recursively-constructed family of Mandelbrot matrices toViète's formula, helping to explain the appearance of π in thiselement.\",\"PeriodicalId\":355724,\"journal\":{\"name\":\"Maple Transactions\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Maple Transactions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5206/mt.v1i2.14367\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Maple Transactions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5206/mt.v1i2.14367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper explores a relationship of the asymptotic behavior ofthe leading element of eigenvectors belonging to the dominant eigenvalueof a recursively-constructed family of Mandelbrot matrices toViète's formula, helping to explain the appearance of π in thiselement.
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