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PARA
2004
Springer
14 years 24 days ago
A Domain Theoretic Account of Euler's Method for Solving Initial Value Problems
Abstract. This paper presents a method of solving initial value problems using Euler’s method, based on the domain of interval valued functions of a real variable. In contrast to...
Abbas Edalat, Dirk Pattinson
JSAC
2006
157views more  JSAC 2006»
13 years 7 months ago
Traffic grooming in path, star, and tree networks: complexity, bounds, and algorithms
We consider the problem of traffic grooming in WDM path, star, and tree networks. Traffic grooming is a variant of the well-known logical topology design, and is concerned with the...
Shu Huang, Rudra Dutta, George N. Rouskas
TPHOL
2005
IEEE
14 years 1 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
CPM
2006
Springer
107views Combinatorics» more  CPM 2006»
13 years 11 months ago
Tiling an Interval of the Discrete Line
We consider the problem of tiling a segment {0, . . . , n} of the discrete line. More precisely, we ought to characterize the structure of the patterns that tile a segment and thei...
Olivier Bodini, Eric Rivals
EJC
2010
13 years 7 months ago
On the distance between the expressions of a permutation
Abstract. We prove that the combinatorial distance between any two reduced expressions of a given permutation of {1, ..., n} in terms of transpositions lies in O(n4), a sharp bound...
Patrick Dehornoy, Marc Autord