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A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. The aim of this paper is to present some interesting weak metrics and to study some of their properties. In particular, we introduce a ...
Plasma edge turbulence plays a fundamental role in determining the performance of fusion devices. In the Scrape-Off-Layer (SOL), the plasma dynamics is the result of the interplay between the plasma outflow from the core, perpendicular transport and parall ...
David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain Ω in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...
2009
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The effect of geometry variations on the engulfment regime in micromixers is investigated. The engulfment regime is a steady flow regime resulting from a symmetry-breaking pitchfork bifurcation as the Reynolds number (based on the hydraulic diameter and bu ...
Inverse problems have only been known in spatial audio for a very short time; their only solution, called "inverse coding" in literature, is essentially based on time-level modeling. Inverse problems, however, unlike parametric coding, require only an init ...
We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...
Local theory extensions provide a complete and efficient way for reasoning about satisfiability of certain kinds of universally quantified formulas modulo a background theory. They are therefore useful in automated reasoning, software verification, and syn ...
