{"title":"欧几里得平面r2上光滑严格凸集的边界","authors":"H. Kramer","doi":"10.4236/OJDM.2017.72008","DOIUrl":null,"url":null,"abstract":"We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2 based on the existence and uniqueness of inscribed triangles.","PeriodicalId":61712,"journal":{"name":"离散数学期刊(英文)","volume":"07 1","pages":"71-76"},"PeriodicalIF":0.0000,"publicationDate":"2017-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R 2\",\"authors\":\"H. Kramer\",\"doi\":\"10.4236/OJDM.2017.72008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2 based on the existence and uniqueness of inscribed triangles.\",\"PeriodicalId\":61712,\"journal\":{\"name\":\"离散数学期刊(英文)\",\"volume\":\"07 1\",\"pages\":\"71-76\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"离散数学期刊(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/OJDM.2017.72008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"离散数学期刊(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/OJDM.2017.72008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R 2
We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2 based on the existence and uniqueness of inscribed triangles.
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