{"title":"四点条件：托勒密不等式的基本热带化","authors":"Mario Gómez, Facundo Mémoli","doi":"10.1080/00029890.2023.2285695","DOIUrl":null,"url":null,"abstract":"Ptolemy’s inequality is a classic relationship between the distances among four points in Euclidean space. Another relationship between six distances is the 4-point condition, an inequality satisfi...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Four Point Condition: An Elementary Tropicalization of Ptolemy’s Inequality\",\"authors\":\"Mario Gómez, Facundo Mémoli\",\"doi\":\"10.1080/00029890.2023.2285695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ptolemy’s inequality is a classic relationship between the distances among four points in Euclidean space. Another relationship between six distances is the 4-point condition, an inequality satisfi...\",\"PeriodicalId\":501497,\"journal\":{\"name\":\"The American Mathematical Monthly\",\"volume\":\"13 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The American Mathematical Monthly\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00029890.2023.2285695\",\"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 American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2023.2285695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Four Point Condition: An Elementary Tropicalization of Ptolemy’s Inequality
Ptolemy’s inequality is a classic relationship between the distances among four points in Euclidean space. Another relationship between six distances is the 4-point condition, an inequality satisfi...
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