getdoc802f. 162KB Jun 04 2011 12:04:35 AM
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We illustrate how the technique articulated here gives an easy way to produce an elliptic curve containing a length 12 progression and an infinite family of elliptic curves containing
A sequence of non-negative integers is exactly realizable as the fixed point counts sequence of a dynamical system if and only if it gives rise to a sequence of non-negative
Incidentally, note that a corollary of Theorem 3.1 (see the corollary below) allows the elegant solution of classical problems of analytical geometry, such as finding the parametric
Walsh’s theory of martingale measures in order to deal with stochastic partial differential equations that are second order in time, such as the wave equation and the beam equation,
An open path in the oriented percolation is a finite alternating sequence e i , v i of edges and vertices, all of which are “open” (that is, the attached Bernoulli random variables
We prove a finite volume lower bound of the order √ log N on the delocalization of a disordered continuous spin model (resp.. The interaction is assumed to be massless,
The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a
Theorem 1.3 establishes the relationships among the dual Hardy inequality (1.7), the first Dirichlet eigenvalue λ 0 and the first eigenvalue λ 0,T of transient diffusion
