Báo cáo toán học: "Dumont’s statistic on words" pptx

... similarly.Question 6.4. For what conditions on a poset P are the statistics des and dmc equidis-tributed on the set of linear extensions of P?One might apply another variation of the method ... followingequidistribution result involving the statistics inv (inversions) and maj (major index).These two statistics belong to the class of Mahonian statistics. (See [8] for further infor-mation.)Theorem ... =[m]L be the set of non-excedance positions of v and v, and consider the cor-responding subsequences of biletters (zi)i∈Tand (zi)i∈T. By condition (3) of Deﬁnition 2.1,the codes of...

Báo cáo toán học: "A New Statistic on Linear and Circular r-Mino Arrangements" potx

... forstatistics on binary words [1], lattice paths [4], and linear and circular domino arrange-ments [6]. Generalizations of F(r)nand/or L(r)nhave arisen similarly in connection withstatistics on ... Knuth’s contention [5] that Gaussian coeﬃcients should be denoted bynkq,ratherthan by the traditional notationnk.Remark 2. Cigler [3] has studied the generalized Carlitz-Fibonacci ... paper.References[1] L. Carlitz, Fibonacci notes 3: q-Fibonacci numbers, Fibonacci Quart. 12 (1974),317–322.[2] J. Cigler, A new class of q-Fibonacci polynomials, Electron. J. Combin. 10 (2003),#R19.[3]...

Báo cáo toán học: " Indoor positioning based on statistical multipath channel modeling" doc

... K Witrisal, On impact of topology and cost function on LSEposition determination in wireless networks, inProceedings of the Workshop on Positioning, Navigation, and Communication, 129–138 (2006)33. ... computational complexity becomesprohibitive. However, only the first path delay, τ0,isrequired for location estimation purpose. Therefore, wefocus the ML estimation on the TOA only, assuming astatistical ... pro-posed direct algorithm are demonstrated through com-puter simulations. Finally, conclusions are presented inSection 6.2 ML-TOA estimationOne OFDM symbol duration is T + TG,whereTGis theguard...

Báo cáo toán học: " UWB system based on energy detection of derivatives of the Gaussian pulse" potx

... study on performance of an IR-UWBreceiver based on energy detection. in IEEE International Conference on WiCOM, Dalian, China 1–5 (2008)3. N He, C Tepedelenlioglu, Performance analysis of non-coherent ... notched band forthe rejection of 5 GHz WLAN using hexagonal multiple mode resonator. inIEEE International Conference on Communication Control and Technologies,Ramanathapuram, India 21–24 (2010)26. ... on Wireless Communications and Networking 2011 2011:206.Submit your manuscript to a journal and beneﬁ t from:7 Convenient online submission7 Rigorous peer review7 Immediate publication on...

Báo cáo hóa học: " Rodé’s theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces" pdf

... continuous, and(iv) T(0)x = x for all x Î C.Proposition 3.13. Let C be a closed convex subset of a Hilbert space H. Let S =(ℝ+∪{0}, + ),S(S)be a continuous nonexpa nsive semigroup on ... Applications 2011, 2011:34http://www.fixedpointtheoryandapplications.com/content/2011/1/34Page 9 of 14RESEARC H Open AccessRodé’s theorem on common fixed points ofsemigroup of nonexpansive ... metric space, calledstrong Δ-convergence. In [2], Kirk and Panyanak introduced a concept of co nvergencein a CAT(0) space, called Δ-convergence (see Section 2 for the definition). Moreover,they...

Báo cáo toán học: "The Weak Topology on the Space of Probability Capacities in Rd" pot

... thatfdTn−fdT<for a ll n ≥ n0,i.e., Tnconverges weakly to T .The following prop osition shows that the convergence on compact sets im-plies the weak convergence.Proposition 3.10. Let {Tn}∞n=1be ... metrizable, and contains Rdtopologically.2. Notation and ConventionWe first recall some definitions and facts used in this paper. Let K(Rd), F(Rd),∗This work was supported by the National Science ... and containsRdtopologically.1. IntroductionNon-additive set functions plays an important role in several areas of appliedsciences, including Artificial Intelligence, Mathematical Economics...

Báo cáo toán học: "RAMANUJAN’S METHOD IN q-SERIES CONGRUENCES" potx

... ≡ (p − 1)/2(modp)which make the exponent on q congruent to zero mod p irrespective of cp(a, b).Consequently one would have to invoke special conditions on the αmto producecoefficients that ... parameters.1. Introduction.Ramanujan [11] is the discoverer of the surprising fact that the partition function,p(n), satisfies numerous congruences. Among the infinite family of such congru-ences, the ... Congruences for pr(n) and Ramanujan’s τ function,Amer.Math.Monthly70(1963), 265–274.8. J.M. Gandhi, Generalization of Ramanujan’s congruences p(5m+4) ≡ 0(mod5)and p(7m+5) ≡ 0 (mod 7), Monatsch....

Báo cáo toán học: "NEW UPPER BOUNDS ON THE ORDER OF CAGES1" pps

... group-theoretical construction of combinatorialschemes and their application to the design of expanders and concentrators,Journal of Problems of Information Transmission (1988), 39-46.17. H. L. Montgomery, ... constructions actually meet the upper bound in(2) for q odd follows from [13]. The constructions we introduce in this paper areindependent of the relative magnitudes of k and g.Constructions. ... without explicit construction, a much smallergeneral upper bound on v(k, g). (As was pointed by Alon in [1, p. 1752], althoughtheir proof does supply a polynomial time algorithm for constructing...

Báo cáo toán học: "Escher''''s Combinatorial Patterns" pot

... four or more squares andtranslated it in a diagonal direction (a composition of one vertical and one horizontal move).Several of his woven ribbon patterns were produced this way. Two of these ... products of disjoint transpositions of the set {1, 2, 3, 4}; these permutationscorrespond to the horizontal, vertical, and diagonal translations of the translation block thatgenerates a given ... permutation that interchanges columns of the translationblock, but the periodic pattern has only translation symmetry (group p1). The period of thepattern in the horizontal direction is half...

Báo cáo toán học: "Dodgson’s Determinant-Evaluation Rule Proved by" pptx

... is preserved.It is obvious that T : A(n) → B(n) ∪ C(n) is one-to-one. If it were onto, we would be done. Sinceit is not, we need one more paragraph.Call a member of B(n) ∪ C(n) bad if it is ... Pagehttp://www.math.temple.edu/~zeilberg.Reference[D] C.L. Dodgson, Condensation of Determinants, Proceedings of the Royal Society of London15(1866), 150-155.2 ... relationships (m1, w1), (m2, w2), . . . , (mr, wr)from marriages to aﬀairs (i.e. Mr. miand Ms. wiget divorced and become lovers, i = 1, . . . , r), andchange the relationships...

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