{"title":"关于缩放和规则变化","authors":"N. Bingham","doi":"10.2298/PIM140202002B","DOIUrl":null,"url":null,"abstract":"We survey scaling arguments, both asymptotic (involving regular variation) and exact (involving self-similarity), in various areas of mathemat- ical analysis and mathematical physics. 1. Scaling and Fechner's law There is a sizeable body of theory to the effect that, where two related physically meaningful functions f and g have no natural scale in which to measure their units, and are reasonably smooth, then their relationship is given by a power law: (F)","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"ON SCALING AND REGULAR VARIATION\",\"authors\":\"N. Bingham\",\"doi\":\"10.2298/PIM140202002B\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey scaling arguments, both asymptotic (involving regular variation) and exact (involving self-similarity), in various areas of mathemat- ical analysis and mathematical physics. 1. Scaling and Fechner's law There is a sizeable body of theory to the effect that, where two related physically meaningful functions f and g have no natural scale in which to measure their units, and are reasonably smooth, then their relationship is given by a power law: (F)\",\"PeriodicalId\":416273,\"journal\":{\"name\":\"Publications De L'institut Mathematique\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Publications De L'institut Mathematique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/PIM140202002B\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM140202002B","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We survey scaling arguments, both asymptotic (involving regular variation) and exact (involving self-similarity), in various areas of mathemat- ical analysis and mathematical physics. 1. Scaling and Fechner's law There is a sizeable body of theory to the effect that, where two related physically meaningful functions f and g have no natural scale in which to measure their units, and are reasonably smooth, then their relationship is given by a power law: (F)
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
