{"title":"用路径连接凸域上两对点的可能性","authors":"Oleksandr Dovhopiaty","doi":"10.37069/10.37069/1683-4720-2023-37-1","DOIUrl":null,"url":null,"abstract":"This article is devoted to the possibility of joining of two pairs of points of a convex domains by curves. We are interested in the case when these curves are not farther from each other than the distance between their end points, possibly, up to some absolute multiplicative constant. We have obtained some upper and lower bounds for the modulus of families of paths joining curves mentioned above.","PeriodicalId":484640,"journal":{"name":"Trudy Instituta prikladnoj matematiki i mehaniki","volume":"111 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the possibility of joining two pairs of points in convex domains using paths\",\"authors\":\"Oleksandr Dovhopiaty\",\"doi\":\"10.37069/10.37069/1683-4720-2023-37-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is devoted to the possibility of joining of two pairs of points of a convex domains by curves. We are interested in the case when these curves are not farther from each other than the distance between their end points, possibly, up to some absolute multiplicative constant. We have obtained some upper and lower bounds for the modulus of families of paths joining curves mentioned above.\",\"PeriodicalId\":484640,\"journal\":{\"name\":\"Trudy Instituta prikladnoj matematiki i mehaniki\",\"volume\":\"111 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Trudy Instituta prikladnoj matematiki i mehaniki\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37069/10.37069/1683-4720-2023-37-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Trudy Instituta prikladnoj matematiki i mehaniki","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37069/10.37069/1683-4720-2023-37-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the possibility of joining two pairs of points in convex domains using paths
This article is devoted to the possibility of joining of two pairs of points of a convex domains by curves. We are interested in the case when these curves are not farther from each other than the distance between their end points, possibly, up to some absolute multiplicative constant. We have obtained some upper and lower bounds for the modulus of families of paths joining curves mentioned above.
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