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- National Research Council CanadaCA185 papers
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12 papers · 1 filter
A Gel'fond type criterion in degree two
Benoit Arbour, Damien Roy
We establish a criterion for a complex number to be algebraic over Q of degree at most two. It requires that, for any sufficiently large real number X, there exists a non-zero poly…
Indexing schemes for similarity search: an illustrated paradigm
Vladimir Pestov, Aleksandar Stojmirovic
We suggest a variation of the Hellerstein--Koutsoupias--Papadimitriou indexability model for datasets equipped with a similarity measure, with the aim of better understanding the s…
Approximation simultanée d'un nombre et de son carré [Simultaneous approximation to a real number and its square]
Damien Roy
In 1969, H. Davenport and W. Schmidt established a measure of simultaneous approximation for a real number ξand its square by rational numbers with the same denominator, assuming o…
Approximation to real numbers by cubic algebraic integers II
Damien Roy
It has been conjectured for some time that, for any integer n\ge 2, any real number ε>0 and any transcendental real number ξ, there would exist infinitely many algebraic integers α…
Versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of ve…
A model for gelation with explicit solvent effects: Structure and dynamics
Michael Plischke, D. C. Vernon, Bela Joos
We study a two-component model for gelation consisting of -functional monomers (the gel) and inert particles (the solvent). After equilibration as a simple liquid, the gel parti…