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This work introduces a novel extension of the 0/1 Knapsack Problem in which we consider the existence of so-called forfeit sets. A forfeit set is a subset of items of arbitrary cardinality, such that including a number of its elements that exceeds a predefined allowance threshold implies some… |
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This paper investigates a simple one-dimensional model of incommensurate harmonic crystal in terms of the spectrum of the corresponding Schrödinger equation. Two angles of attack are studied: the first exploits techniques borrowed from the theory of quasi-periodic functions while the second… |
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A model consisting of a kinetic equation for \run-and-tumble" biased bacteria motion,
coupled with two reaction-diusion equations for chemical signals, is studied. It displays time-
asymptotic propagation at constant velocity, i.e., aggregated travelling (exponential) layers. To
capture them for… |
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A Boundary Element Method (BEM) hydrodynamics combined with a flow-alignment technique to evaluate blades shed
vorticity is presented and applied to a marine propeller in open water. Potentialities and drawbacks of this approach in capturing
propeller performance, slipstream velocities, blade… |
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Small amounts of liquid deposited on a substrate are an everyday phenomenon. From a
theoretical point of view this represents a modelling challenge, due to the multiple scales
involved: from the molecular interactions among the three phases (solid substrate, liquid
film and surrounding vapor) to… |
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Implantation of drug eluting stents following percutaneous trans-
luminal angioplasty has revealed a well established technique for treating occlusions caused by the atherosclerotic plaque. However, due to the risk of vascular
re-occlusion, other alternative therapeutic strategies of drug delivery… |
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We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black hole's spin. Both the particle's mass and spin length are… |
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In this paper the phase behavior and pattern formation in a sheared nonideal fluid under a periodic potential is studied. An isothermal two-dimensional formulation of a lattice Boltzmann scheme for a liquid-vapor system with the van der Waals equation of state is presented and validated. Shear is… |
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Colorectal cancer is among the leading causes of cancer death worldwide. Despite numerous molecular characterizations of the phenomenon, the exact dynamics of its onset and progression remain elusive. Colorectal cancer onset has been characterized by changes in DNA methylation profiles, that, owing… |
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In this paper we present algorithms for approximating real band-limited signals by multiple Gaussian Chirps. These algorithms do not rely on matching pursuit ideas. They are hierarchial and, at each stage, the number of terms in a given approximation depends only on the number of positive-valued… |
