منابع مشابه
Hamel-isomorphic images of the unit ball
In this article we consider linear isomorphisms over the field of rational numbers between linear spaces R and R. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly non-measurable subset of the real line, which is strongly non-similar to any classical nonmeasurable subset of reals. We also show the consistency and independence of the proposition that a...
متن کاملHamel bases and well–ordering the continuum
In ZF, the existence of a Hamel basis does not yield a well–ordering of R. Throughout this paper, by a Hamel basis we always mean a basis for R, construed as a vector space over Q. We denote by E the Vitali equivalence relation, xEy iff x− y ∈ Q for x, y ∈ R. We also write [x]E = {y : yEx} for the E–equivalence class of x. A transversal for the set of all E–equivalence classes picks exactly one...
متن کاملNon - separable Banach spaces with non - meager Hamel basis
We show that an infinite-dimensional complete linear space X has: • a dense hereditarily Baire Hamel basis if |X| ≤ c; • a dense non-meager Hamel basis if |X| = κ = 2 for some cardinal κ. According to Corollary 3.4 of [BDHMP] each infinite-dimensional separable Banach space X has a non-meager Hamel basis. This is a special case of Theorem3.3 of [BDHMP], asserting that an infinite-dimensional Ba...
متن کاملTemporal stability of small disturbances in MHD Jeffery-Hamel flows
In this paper, the temporal development of small disturbances in magnetohydrodynamic (MHD) Jeffery–Hamel flows is investigated, in order to understand the stability of hydromagnetic steady flows in convergent/divergent channels at very small magnetic Reynolds number Rm . A modified form of normal modes that satisfy the linearized governing equations for small disturbance development asymptotica...
متن کاملModeling Mechanisms with Nonholonomic Joints Using the Botzmann-Hamel Equations
School of Mechanical Engineering Georgia Institute of Technology Atlanta, Georgia 30332 This paper describes a new technique for deriving dynamic equations of motion for serial chain and tree topology mechanisms with common nonholonomic constraints. For each type of nonholonomic constraint, the Boltzmann-Hamel equations produce a concise set of dynamic equations. These equations are similar to ...
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ژورنال
عنوان ژورنال: ADLFI. Archéologie de la France - Informations
سال: 2006
ISSN: 2114-0502
DOI: 10.4000/adlfi.4430