{"title":"关于离散断层摄影中的唯一性问题","authors":"Golden Sun, Vladyslav Yaskin","doi":"10.1080/00029890.2024.2311446","DOIUrl":null,"url":null,"abstract":"Let A be a subset of the integer lattice Zn contained inside a sphere S in Rn. Suppose that for each u∈S we know the number of points of A visible from u. Does this information determine the set A ...","PeriodicalId":517373,"journal":{"name":"American Mathematical Monthly","volume":"34 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Uniqueness Problem in Discrete Tomography\",\"authors\":\"Golden Sun, Vladyslav Yaskin\",\"doi\":\"10.1080/00029890.2024.2311446\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let A be a subset of the integer lattice Zn contained inside a sphere S in Rn. Suppose that for each u∈S we know the number of points of A visible from u. Does this information determine the set A ...\",\"PeriodicalId\":517373,\"journal\":{\"name\":\"American Mathematical Monthly\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Mathematical Monthly\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00029890.2024.2311446\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2024.2311446","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
设 A 是整数网格 Zn 的一个子集，包含在 Rn 中的球面 S 内。假设对于每个 u∈S 我们都知道从 u 可见的 A 点的个数。这些信息是否决定了集合 A ...
Let A be a subset of the integer lattice Zn contained inside a sphere S in Rn. Suppose that for each u∈S we know the number of points of A visible from u. Does this information determine the set A ...
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