Báo cáo toán học: "Counting peaks and valleys in k-colored Motzkin paths" doc

... enumeration of k-colored Motzkin paths with a fixed number of (left and right) peaks and valleys. Further enumeration results are ob- tained when peaks and valleys are counted at low and high level. ... 2-colored Motzkin path and its corresponding word Throughout this paper we denote by M the set of all k-colored Motzkin words (or equivalently k-colored Motzkin p...

Ngày tải lên: 07/08/2014, 08:22

... imaginary s-axis maps into a line at v= +jπ/2, which goes from minus inf ini ty to plus inf ini ty as r is varied from zero to plus infinity. Continuing around a contour with radius infinity in ... from plus infinity to minus infinity. Closing the contour in the s-plane by going around the origin on a semi-circle of radius zero, gives an upward vertical line at v equal to minus infinity....

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

... employ combinatorial arguments involving the β j . We note that the added information that α j detects zeros on the critical line is of no use in improving our result. Everything below is phrased in ... that M ≤n (T ) β n−1 N(T ), rendering their bound invalid. Our second method eliminates the loss inherent in the first method. We start with this Counting distinct zeros of the Riemann ze...

Ngày tải lên: 07/08/2014, 06:20

... varieties, and related results,” in Commutative Algebra and Combinatorics (M. Nagata and H. Matsumura, eds.), Advanced Studies in Pure Mathematics 11,Kinokuniya,Tokyo, and North-Holland, Amsterdam/New ... Section 3, and al- gebraic shifting in Section 4. In Section 5, we prove our main result. Finally, Section 6 con- tains two corollaries concerning nonpure shellability and...

Ngày tải lên: 07/08/2014, 06:20

... I.Obviously,ifT(S 0 N ,W 0 I )isastapling covering, then S 0 N is a stapled sequence. Lemma 3.1. If S 0 N is a stapled SSN and T (S 0 N ,W 0 I ) is the corresponding stapling covering, there exists stapling covering T([1,N],W I ) ... )=ε u(T ) and an algorithm that allows us to transform astaplingcoveringofagivenexpenseintoastaplingcoveringwiththe cutoff u(T )=f(ε)? 2. Do there exist const...

Ngày tải lên: 07/08/2014, 06:20

... trees in the decomposition. Only one of those two trees can continue on to the next higher cycle in the direction of increasing indices, so a new tree must start within that cycle. In traversing ... are nondecreasing. The subgraph of G consisting of P i and P j and the chords joining them has this form. Process the chords in H in the order L. If the next chord shares an endpoint...

Ngày tải lên: 07/08/2014, 21:20

... point (moving along the real line), so we can record a string of length 2n consisting of n symbols S and n symbols E giving the or der along the real line in which the starts and ends of intervals ... parentheses indicating the beginning and the end of the interval. The record now consists o f a list of vertices in the lower part, a separator, and a list of vertices in the upper...

Ngày tải lên: 07/08/2014, 21:21

... solutions. Picky combines the standard chart parsing data structures with existing bottom-up and top-down parsing operations, and includes a probabilistic version of top-down filtering and over-the-top ... noun, find one, and introduce a new edge consisting of a completed NP. The edge predicted by the noun will look to the left for a determiner, find one, and also intro- duce...

Ngày tải lên: 31/03/2014, 06:20

... stimulate insulin secretion [1]. DPP IV promotes hyperglycemia by rapidly inactivating these peptides. However, inhibition of DPP IV maintains the incretins at physiological levels that can increase insulin secretion. DPP ... the winter and resolved within a week of stopping sitagliptin. Anterior and/ or posterior rhinorrhea, fatigue, cough and the sensation of wheezing or dyspnea develo...

Ngày tải lên: 08/08/2014, 21:20