tsuzuki.dm. 276KB Jun 04 2011 12:09:39 AM
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We finish this section showing that G-3-quasigroups are connected with the functional equation of generalized associativity.. Let (A, α) be
So, either an infinite square-free word can be split into words with densities greater than or equal than ρ or there exist two basic words one after another. In the first case
Height pairings attached to other p -adic linear functionals can be degenerate; in fact, given an elliptic curve defined over Q with good ordinary reduction at p , and K a
(Indeed, if the residue class field k has characteristic 0, and hence K ′ /K can only be tamely ramified, the proof of Theorem 2.2 is relatively easy.) Recent work of Lehr and
In discrete time, studies of quantitative convergence rates have been motivated largely by Markov chain Monte Carlo algorithms (see Gelfand and Smith, 1990; Smith and Roberts,
A class of discrete renewal processes with exponentially decaying inter-arrival distributions coincides with the infinite volume limit of general homogeneous pinning models in
It is achieved by similarity reduction of equations of the so-called extended discrete KP (edKP) hierarchy [ 18 , 19 , 20 ], which itself is proved to be a basis for construction
The Taub-NUT space has a special geometry where the covariantly constant K-Y tensors exist by virtue of the metric being self-dual and the Dirac-type operators generated by them
