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» A Tour with Constructive Real Numbers
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TYPES
2000
Springer
13 years 8 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
STORYTELLING
2007
Springer
13 years 11 months ago
Narrative Construction in a Mobile Tour Guide
Storytelling capabilities are vital aspect of a tour guide. In this paper, we present a mobile tour guide that emulates a real guide’s behaviour by presenting stories based on th...
Mei Yii Lim, Ruth Aylett
COR
2000
129views more  COR 2000»
13 years 4 months ago
Heuristics for the multi-vehicle covering tour problem
The multi-vehicle covering tour problem is de"ned on a graph G"(<6=, E), where = is a set of vertices that must collectively be covered by up to m vehicles. The probl...
Mondher Hachicha, M. John Hodgson, Gilbert Laporte...
JCT
2008
103views more  JCT 2008»
13 years 4 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
AAECC
2007
Springer
143views Algorithms» more  AAECC 2007»
13 years 11 months ago
Constructions of Orthonormal Lattices and Quaternion Division Algebras for Totally Real Number Fields
Abstract. We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We...
B. A. Sethuraman, Frédérique E. Oggi...