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Considering the special case of rank one yields the corre- sponding results for the conventional colored Motzkin numbers for which in addition a recursion relation is given..
After some algebraic manipulation we found ourselves with a new expression for the Bell number ̟ m + n , one that generalizes the two most common expressions for
Moreover one can use the Hodge realisation to see that if the Hodge numbers of a rank 2 “motive” are distinct then the associated system of l -adic representations is regular in
Abstract A multi-point boundary value problem involving the one dimensional p -Laplacian and.. depending on a parameter is studied in this paper and existence of positive solutions
The envelope of this 1-parameter family is composed of circles which are represented by the tangent lines to the curve which do not intersect the Pedoe paraboloid.. Moreover, a point
For instance, if one calculates the one parameter fam- ily of minimal surfaces given by symmetry (3.12) and a simply connected minimal surface, does the topology always change from
By using of the left-invariant vector fields of top spaces and their one-parameter subgroups, a relation between the Lie algebras of a class of top spaces and the Lie algebras of
a concrete utility and that one attribute can a ! ect di ! erent utility areas. Nevertheless, there is not normally a ` one-to-one a relationship between the features and the
