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Kapcsolat
Popular distances in 3-space |
Tartalom: | http://dx.doi.org/10.1016/S0012-365X(98)00328-8 |
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Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Published
Type = Article |
Cím: |
Popular distances in 3-space
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Létrehozó: |
Erdős, Paul
Harcos, Gergely
Pach, János
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Kiadó: |
Elsevier
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Dátum: |
1999
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Téma: |
QA Mathematics / matematika
QA71 Number theory / számelmélet
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Tartalmi leírás: |
Let m(n) denote the smallest integer m with the property that any set of n points in Euclidean 3-space has an element such that at most m other elements are equidistant from it. We have that cn(1/3) log log n less than or equal to m(n) less than or equal to n(3/5) beta(n), where c>0 is a constant and beta(n) is an extremely slowly growing function, related to the inverse of the Ackermann function.
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Típus: |
Article
PeerReviewed
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Formátum: |
application/pdf
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Azonosító: |
Erdős, Paul and Harcos, Gergely and Pach, János (1999) Popular distances in 3-space. Discrete Mathematics, 200 (1-3). pp. 95-99. ISSN 0012-365X
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Kapcsolat: |
http://dx.doi.org/10.1016/S0012-365X(98)00328-8
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