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  • 06A23  (1)
  • Springer  (1)
  • American Association for the Advancement of Science (AAAS)
  • Periodicals Archive Online (PAO)
  • 1985-1989  (1)
  • 1935-1939
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  • Springer  (1)
  • American Association for the Advancement of Science (AAAS)
  • Periodicals Archive Online (PAO)
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  • 1985-1989  (1)
  • 1935-1939
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  • 1
    Electronic Resource
    Electronic Resource
    Dimension versus size (1988)
    Springer
    Order 5 (1988), S. 17-20 
    Details
    ISSN: 1572-9273
    Keywords: 06A10 ; 06A23 ; Lattice ; order dimension ; least size
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We investigate the behavior of f(d), the least size of a lattice of order dimension d. In particular we show that the lattice of a projective plane of order n has dimension at least n/ln(n), so that f(d)=O(d) 2 log2 d. We conjecture f(d)=θ(d 2 ), and prove something close to this for height-3 lattices, but in general we do not even know whether f(d)/d→∞.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00143893
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