sigma06-037. 239KB Jun 04 2011 12:09:51 AM
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Keywords: binomial coefficient, maximal exponent of a prime dividing an integer, p-ary expansion of integer, Kummer’s theorem.. (Concerned with
In Section 2.2, we briefly explain the lace expansion for the discretized contact process, and state the bounds on the lace expansion coefficients in Section 2.3.. In Section 2.4,
We have found that the profiles of the vortex filaments show quite different behaviour, but for the local stretch, both of the two equations give the same results in such a way that
The method of approximate conditional symmetries for partial differential equations with a small parameter was suggested by Mahomed and Qu [ 8 ] (point symmetries), Kara, Mahomed and
For a description of transitive and indecomposable systems of two subspaces of a Hilbert space, as well as for transitive and indecomposable triples of a finite dimensional
Using the constructed algebras we have obtained new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.. Further, more
We prove that the relevant B¨acklund transformation preserves the reality of the n -soliton potentials and establish their pole structure with respect to the broadening parameter..
This divergence is exactly the same which is found in the perturbative calculation for the quantum theory defined in the Groenewold–Moyal plane [ 22 ], therefore in this case
