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Search: id:A125847
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| A125847 |
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Denominators of maximal symplectic packing densities when packing 9 or fewer 4-dimensional balls into a larger ball. |
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+0
2
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OFFSET
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1,2
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COMMENT
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Explanation, figure, table, references in Traynor. McDuff and Polterovich's existence proof of these packings in nonexplicit; they result from the symplectic blow-up operation. Explicit constructions fot n = 8 and n = 9 are still unknown. Biran showed that A125846(n) = A125847(n) = 1 for all n>9.
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REFERENCES
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See A125846 for references.
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FORMULA
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A125846(n)/A125847(n) is maximal symplectic packing density with n balls, as calculated by McDuff and Polterovich.
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EXAMPLE
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For n = 1..9, densities are: 1, 1/2, 3/4, 1, 4/5, 24/25, 63/64, 288/289, 1.
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CROSSREFS
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Cf. A125846.
Adjacent sequences: A125844 A125845 A125846 this_sequence A125848 A125849 A125850
Sequence in context: A124037 A090285 A047908 this_sequence A078886 A095247 A007734
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KEYWORD
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hard,nonn,frac
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 11 2006
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