Characteristics of the brief but bright discharges that often occur along the trails of positive leaders

Key words and phrases: Optimal lower bound, infimum spectrum Schr˝odinger operator, Sobolev inequality.. 2000 Mathematics

Classical Sturm oscillation theory states that the number of oscillations of the fundamental solutions of a regular Sturm-Liouville equation at energy E and over a (possibly

We prove that for some form of the nonlinear term these simple modes are stable provided that their energy is large enough.. Here stable means orbitally stable as solutions of

In this paper we study certain properties of Dobrushin’s ergod- icity coefficient for stochastic operators defined on noncommutative L 1 -spaces associated with semi-finite von

The aim of the present section is to prove that the Orthogonality Logic is complete (for all classes of morphisms) in all locally presentable categories iff the following

But in fact we can very quickly bound the axial elbows by the simple center-line method and so, in the vanilla algorithm, we will work only with upper bounds on the axial elbows..

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