186,548 research outputs found

    Wavelets and multiresolution analysis: Nature of epsilon((infinity)) Cantorian space-time

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    In this paper, starting from El Naschic E-infinity Cantorian space-time, we consider the link between the Brownian motion presented by the first author in some earlier papers in the context of cosmology and the multiresolution analysis based on the wavelet transform. We will consider the hypothesis that the present hierarchical segregated Universe is the effect of an expansion, which follows a scaling law. We will give a mathematical method to support El Naschie's picture of the resolution dependence of the observations. In other words, this confirms the vision in which everything we see or measure is resolution dependent

    Hypersingular integral equations, waveguiding effects in Cantorian Universe and genesis of large scale structures

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    In this work we introduce the hypersingular integral equations and analyze a realistic model of gravitational waveguides on a cantorian space-time. A waveguiding effect is considered with respect to the large scale structure of the Universe, where the structure formation appears as if it were a classically self-similar random process at all astrophysical scales. The result is that it seems we live in an El Naschie's is an element of((infinity)) Cantorian space-time, where gravitational lensing and waveguiding effects can explain the appearing Universe. In particular, we consider filamentary and planar large scale structures as possible refraction channels for electromagnetic radiation coming from cosmological structures. From this vision the Universe appears like a large self-similar adaptive mirrors set, thanks to three numerical simulations. Consequently, an infinite Universe is just an optical illusion that is produced by mirroring effects connected with the large scale structure of a finite and not a large Universe

    Eugenia Mastellone Iovane, L'auctoritas di Virgilio nel commento di Porfirione ad Orazio

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    Tordeur Pol. Eugenia Mastellone Iovane, L'auctoritas di Virgilio nel commento di Porfirione ad Orazio. In: L'antiquité classique, Tome 70, 2001. p. 306

    Eugenia Mastellone Iovane. — Paura e angoscia in Tacite, 1989. (Studi Latini, 2)

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    Marache René. Eugenia Mastellone Iovane. — Paura e angoscia in Tacite, 1989. (Studi Latini, 2). In: Revue des Études Anciennes. Tome 93, 1991, n°1-2. p. 176

    Discharging granular material from a rotary kiln in a slumping regime: Theoretical and experimental studies

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    This study developed a theoretical approach to understanding how a set amount of a granular bed is discharged from a tilted rotary kiln (an empty cylinder) once its particle size distribution (PSD) is known and slumping motion occurs. The basis of the study is that the preparation of material for thermal treatment inside a rotary kiln (pyrolysis, gasification, and/or combustion) involves shredding to a desired particle size. Further mechanical stress results from the feeder screws moving material from storage toward the reactor. The most common PSDs found in uniform size reduction processes and mechanical stresses are Gaussian, log-normal, and Rosin-Rammler, of which the latter best fits the PSD in our study. Different particle diameters in the distribution result in an axial segregation when a slumping motion occurs, resulting in particles of different diameters leaving the kiln at different instants. After developing the model, the theoretical data showed good agreement when compared with experimental results obtained from downloading previously shredded carbonaceous material from a rotary kiln at 2 and 4 rpm rotational speeds. The mean residence times at steady state were determined for both rotational speeds and showed good agreement with data provided in the literature. © 2015 Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V. All rights reserved

    The set of prime numbers: Symmetries and supersymmetries of selection rules and asymptotic behaviours

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    In this work we show that the prime distribution is not random. Indeed the set of prime numbers P can be expressed in terms of two maximal subsets of N using three specific selection rules, acting on these sets of prime candidates. The prime candidates are obtained in terms of the first perfect number. The symmetries and supersymmetries of the selections rules as well as the asymptotic behaviour are also considered

    The Set of Primes: Towards an Optimized Algorithm, Prime Generation and Validation, and asymptotic consequences

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    Starting from the result that the prime distribution is deterministic, we show in its maximal reduced form, the set of prime numbers P. This set can be expressed in terms of two subsets of N using three specific selection rules, acting on two sets of prime candidates. The asymptotic behaviour is considered too. We go head towards an optimized algorithm to generate primes, whose computational complexity is C(n) is an element of O(n). In addition a pre-computed algorithm is also considered and its computational complexity C(n) is an element of O(1)
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