Báo cáo toán học: "Counting words by number of occurrences of some patterns" pps

... positions of the last q − 1 copies of k do not affect the number of occurrences of the pattern), a nd we let A = a b−(q− 1) . The number of occurrences of 1 ′ 2 p,q that the k’s of σ are part of is seen ... 1)! . the electronic journal of combinatorics 18 (2011), #p143 8 Counting words by number of occurrences of some patterns Zhicheng Gao ∗ Andrew MacFi...

Ngày tải lên: 08/08/2014, 14:23

... number of simple critical pairs in perfect squares of length 2m equals the number of pairs that are critical only in a prefix or a suffix of an unbordered word of length m. To illustrate ideas of ... while abaabb is unbordered. The numbers of primitive and bordered words of a fixed length over an alphabet of a fixed size are well known, the number of primitive words b...

Ngày tải lên: 08/08/2014, 14:23

... path of L 2 (n) the number of VH’s plus the number of VV’s is n, while the number of HV’s plus the number of VV depends on the path. On the other hand, on any path of A 2 (n) the number of HV ... HV ’s plus the number of VV’s is n, while the number of VH’s plus the number of VV’s depends on the path.) We have a bijection G : A  2 (n) −→ A 0 3 (n) the elect...

Ngày tải lên: 07/08/2014, 06:20

... The number of partitions H with V (H)=[n] is the Bell number b n .Theweight of a set system H is w(H)=  v∈V (H) deg(v)=  E∈H |E|. H is normalized if V (H)=[m] for some m. In the proof of Proposition ... edges. Proof of the Theorem. We prove that, for n →∞, h  n =  1 log 2 + o(1)  n b n =(1.44269 + o(1)) n b n . Let i n be the number of interval partitions Q of [n], w...

Ngày tải lên: 07/08/2014, 08:22

... obtain the number of quivers in the mutation class of a quiver of Dynkin type D n . This formula was first determined in [5]: Corollary. The number of quivers of type D n , for n ≥ 5, is given by ˜a(0, ... the number of a rr ows i → k in Q equals a, the number of arrows k → j equals b and the number of ar r ows j → i equals c ∈ Z. Then we have c −ab arrows j → i in...

Ngày tải lên: 08/08/2014, 14:23

... spectrum of the carrier of [ 18 F]FE-DTBZ-d4 was compared to that of the reference compound FE-DTBZ-d4 using LC-ESI-MS/MS-TOF. The ion spectrum of the labeled product was identical to that of the ... maintained by 2.5% sevofluran. Normoglycemia was confirmed by determining blood glucose content (plasma glucose concentration 4.4 to 7.6 mM). The animal experiments were approve...

Ngày tải lên: 20/06/2014, 21:20

... CA of the wild-type enzyme. The activity toward CA of the M57L mutant enzyme was too low to evaluate the effect of L-cysteine. Activation of FA decarboxylation activity by ultrafiltrate of ... recombinant wild-type forms of CgPAD. This result suggests that Met57 is one of the substrate-binding residues in the catalysis of CgPAD. In support of our view, one of subs...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... other words, if our lower bounds for the β j were actually equalities, then the lower bound given by (6) is sharp. We will accomplish this by showing that the M n (T), the number of zeros of ξ(s) ... distinct zeros of the Riemann zeta-function David W. Farmer Submitted: December 1, 1994; Accepted: December 13, 1994. Abstract. Bounds on the number of simple zeros of the deri...

Ngày tải lên: 07/08/2014, 06:20