tsikouras67. 269KB Jun 04 2011 12:09:38 AM
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in the worst case, cause a quadratic increase in the number of bends, which is potentially very dangerous. To circumvent the danger, we focus on turns , which are bends where the
We generalize this statistic and derive an explicit formula for the number of Dyck paths of length 2 n according to the statistic “number of uu · · · udu ’s” (“number of udud ·
As pointed out in [2], an x-equilibrium stress exists if every interior edge lies on some x-monotone path, whose endpoints are boundary vertices.. Let us assume that we have
If there are not any other interpolation polynomial subspaces of degree less than the degree of the poly- nomials in P , then the subspace P is a minimal interpolation spaceD.
In the final section, Section 4 , we give two related sequences σ ( n ) and δ ( n ) which are permutations of the nonnegative integers, and a second downward-sloping sequence which
In this paper we study “generalized” Dyck paths, starting and ending at arbitrary points in the non-negative half-plane, “touching” the x -axis any predetermined number of times,
In the next section basic properties on subexponentiality are presented and a new result (Lemma 2.4) on the limiting behavior of the convolution of an subexpo- nential and a
The notions of convexity and convex polytopes are in- troduced in the setting of tropical geometry.. Combinatorial types of tropical polytopes are shown to be in bijection with
