dekoninck47. 156KB Jun 04 2011 12:08:35 AM
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The problem of finding a Morse function on M arises from the problem of constructing a cellular decomposition of M in a sum of minimal number of cells.. Because (Q,+) is
As the mas- sive number of data from the warehouse is represented within circumstances, the circumstantial tables can get very large, compared to the dimensional ta- bles.. For
We first prove two results which both imply that for any sequence B of asymptotic density zero there exists an infinite sequence A such that the sum of any number of distinct
Before stating the main theorem about the existence of canonical cut-and-projection schemes associated with the beta- integers when β is a general (non-integer) Perron number, let
Theorem 1. ., be an arbitrary sequence of elements of Ω i.e.. The result in b) suggest an obvious algorithm for generating perfect samples from the common row-distribution of M ω
(ii) the p -th mean exponential convergence of the solution to zero (for all p > 0), and (iii) the exponential integrability of the entries of the kernel K , the exponential
But since there are 3N stationary finite-intensity Poisson processes, with probability one, for almost all ω there is an interval [s(ω), s(ω) + 1] in the past of t such that there is
An impressive number of examples have by now established the fact that both partial differential and difference equations integrable through spectral methods possess the
