Let a be a vector of real numbers. By an integer relation for a we mean a non-zero integer vector c such that caT = 0. We discuss the algorithms for nding such integer relations f...
Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptogra...
Pina Bergamo, Paolo D'Arco, Alfredo De Santis, Lju...
Abstract-- We introduce a new way of looking at fuzzy intervals. Instead of considering them as fuzzy sets, we see them as crisp sets of entities we call gradual (real) numbers. Th...
The problem of radio channel assignments with multiple levels of interference depending on distance can be modeled using graph theory. The authors previously introduced a model of...
We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one cons...
Since 1996, some models of recursive functions over the real numbers have been analyzed by several researchers. It could be expected that they exhibit a computational power much g...
Recently, using a limit schema, we presented an analog and machine independent algebraic characterization of elementary functions over the real numbers in the sense of recursive a...
This is an extended version of an essay with the same title that I wrote for the workshop Algebraic Process Calculi: The First Twenty Five Years and Beyond, held in Bertinoro, Ita...
Linear interpolation is the standard image blending method used in image compositing. By averaging in the dynamic range, it reduces contrast and visibly degrades the quality of co...
Mark Grundland, Rahul Vohra, Gareth P. Williams, N...
We study the problem of computing the k maximum sum subsequences. Given a sequence of real numbers x1, x2, . . . , xn and an integer parameter k, 1 k 1 2 n(n - 1), the problem in...