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ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
13 years 4 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée
ALENEX
2004
110views Algorithms» more  ALENEX 2004»
13 years 6 months ago
Computation of a Class of COntinued Fraction Constants
There are numerous instances where mathematical constants do not admit a closed form. It is then of great interest to compute them, possibly in an efficient way. So the question i...
Loïck Lhote
AAECC
2006
Springer
120views Algorithms» more  AAECC 2006»
13 years 5 months ago
Continued fraction for formal laurent series and the lattice structure of sequences
Abstract Besides equidistribution properties and statistical independence the lattice profile, a generalized version of Marsaglia's lattice test, provides another quality meas...
Wilfried Meidl
ESA
2006
Springer
125views Algorithms» more  ESA 2006»
13 years 7 months ago
Purely Functional Worst Case Constant Time Catenable Sorted Lists
We present a purely functional implementation of search trees that requires O(log n) time for search and update operations and supports the join of two trees in worst case constant...
Gerth Stølting Brodal, Christos Makris, Kos...