Báo cáo toán học: "A simple proof for the existence of exponentially balanced Gray codes" ppsx
Báo cáo toán học: " A NEW CONSTRUCTION FOR CANCELLATIVE FAMILIES OF SETS" doc
... the union of any element of F1with any element of F2.It is easy to see that the product of two cancellative families is also a cancellative family ( (A 1 ,A 2) ∪(B1,B2)= (A 1 ,A 2) ∪(C1,C2) ... ask how large cancellative families can be. We define f(n) to be the size of the largestpossible cancellative family of subsets of a n-set and f(k,n) to be the size of the largestpossible cancellative ... Classification. 05C65We will look at families of subsets of a n-set with the property that A B = A C ⇒B = C for any A, B, C in the family. Frankl and Făuredi [2] call such families cancellative. We...
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Báo cáo toán học: "A Simple Method for Constructing Small Cubic Graphs of Girths 14, 15, and 16" pptx
... 1996AbstractA method for constructing cubic graphs with girths in the range 13 to 16 is described. The method is used to construct the smallest known cubic graphs for girths 14, 15 and 16.IntroductionWe ... JournalofGraphTheory,6, 1982, 1-22. A Simple Method for Constructing Small Cubic Graphs of Girths 14, 15, and 16Geoffrey ExooDepartment of Mathematics and Computer ScienceIndiana State UniversityTerre ... requirement thatT be a tree, and also considered cubic forests. And we tried replacing the single values of hiby sets of values (we tried sets of size two). Neither of these modifications produced...
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Báo cáo toán học: "A simple algorithm for constructing Szemer´di’s Regularity Partition e" pps
... A simple algorithm for constructing Szemer´edi’s Regularity Partition Alan FriezeDepartment of Mathematical Sciences,Carnegie ... combinatorics 6 (1999), #R17 3A partition satisfying the second criterion is called equitable. V0is called theexceptional class.Following [9], for every equitable partition P into k +1classes ... (ˆx+)TWˆy−≥ ˆγ√pq/4. (The proof for the other cases is similar.) We define random subsets S, T as follows: For each i ∈ R, put i in S with probability ˆx+i√p/β. For each j ∈ C,putj in T with...
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Báo cáo toán học: "A construction method for complete sets of mutually orthogonal frequency squares" pdf
... survey of frequency squares.A set of (n − 1)2/(m − 1) mutually orthogonal frequency squares (MOFS) of typeF (n; λ)isacomplete set of type F (n; λ).We shall describe a construction for complete ... 2000.AbstractA construction is described for combining affine designs with complete sets of mutually orthogonal frequency squares to produce other complete sets. Key words: Matrices, orthogonal arrays, ... A construction method for complete sets of mutually orthogonal frequency squaresVCMavronDepartment of Mathematics,University of Wales,Aberystwyth, SY23 3BZU.K.vcm@aber.ac.ukSubmitted:...
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Báo cáo toán học: "An Asymptotic Expansion for the Number of Permutations with a Certain Number of Inversions" docx
... referee for numerous comments andsuggestions which have led to a substantially improved paper. An Asymptotic Expansion for the Number of Permutations with a Certain Number of InversionsLane ClarkDepartment ... Eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, New York, 1966.[2] E .A. Bender, Central and Local Limit Theorems Applied to Asymptotic Enumeration, ... expansion of the integral. Among the consequences, we have a complete asymptotic expansion for b(n, k)/n!forarange of k including the maximum of the b(n, k)/n!.AMS Subject Classification: 0 5A1 6, 0 5A1 5,...
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Báo cáo toán học: "A LOWER BOUND FOR THE NUMBER OF EDGES IN A GRAPH CONTAINING NO TWO CYCLES OF THE SAME LENGTH" pptx
... v(G) denote the number of vertices, and (G) denote the number of edges. In thispaper, we construct a graph G having no two cycles with the same length which leads to the following result.Theorem. ... Chunhui Lai, On the size of graphs with all cycle having distinct length, DiscreteMath. 122(1993) 363-364.[6] Chunhui Lai, The edges in a graph in which no two cycles have the same length, J.Zhangzhou ... Acknowledgment The author thanks Prof. Yair Caro and Raphael Yuster for sending reference [7]. The author also thanks Prof. Cheng Zhao for his advice.References[1] J .A. Bondy and U.S.R....
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Báo cáo toán học: "A simple proof for the existence of exponentially balanced Gray codes" ppsx
... is the number of times the integer i occurs in the sequence T . Note that the sum of all b(i), 1 ≤ i ≤ n,isequaltol, the length of T .3 A simple proof for the existence of exponentially balanced ... two, or are two successive powers of two. A proof for the existence of exponentially balanced Gray codes is derived. The proof is much sim-pler than an earlier proof presented by van Zanten and ... A simple proof for the existence of exponentially balanced Gray codesI Nengah Suparta∗Department of Applied MathematicsFaculty of Electrical Engineering, Mathematics and Computer...
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Báo cáo toán học: "A Simple Proof of the Aztec Diamond Theorem" potx
... 1986. the electronic journal of combinatorics 12 (2005), #R18 8 Theorem 2.3 (Aztec diamond theorem) The number of domino tilings of the Aztec diamond of order n is 2n(n+1)/2.Remark: The proof of ... between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given bymeans of Hankel determinants of the large and small Schrăoder ... A domino tiling of a region R is a set of non-overlapping dominoes the union of which is R. Figure 1 shows the Aztec diamond of order 3 and a domino tiling. The Aztec diamond theorem, first proved...
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Báo cáo toán học: "A sharp bound for the reconstruction of partitions" ppt
... agree above row r and to the left of column c (and the definitions of r and c) we see that the only possibility for /à is (r, c), completing the proof of this case and the theorem.Acknowledgements. ... 308, 9 (2008), 1524–1530. the electronic journal of combinatorics 15 (2008), #N23 4 A sharp bound for the reconstruction of partitionsVincent VatterDepartment of MathematicsDartmouth CollegeHanover, ... ).Finally, recall that the conjugate of a partition λ is the partition λobtained by flipping the diagram of λ across the NW-SE axis; it follows that λicounts the number of entries of λ which are...
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Báo cáo toán học: "A closed formula for the number of convex permutominoes" pot
... interpretation of the closed formula (10) for the number of con-vex permutominoes. We remark that the expression of fnresembles the expression(1) for the number cn of convex polyominoes of semi-perimeter ... : the uppermost cell of the rightmost column of the polyomino has the maximalordinate among all the cells of the polyomino;U2 : the lowest cell of the rightmost column of the polyomino has the ... parameters, using the simple remark that the number fn of convex permutominoes of size n is given by the number of objects at level n of the generatingtree of Ω, n ≥ 1, assuming without loss of generality...
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Báo cáo toán học: "A natural series for the natural logarithm" pot
... that those formulae yield interesting power series expansions for the logarithm function. This generalizes an infinite series of Lehmer for the natural logarithm of 4.1 The abelian case: the Mahler ... fundamental group of the knot complement. For a square matrixM with entries in CG the trace trCG(M) denotes the coefficient of the unit element in the sum of the diagonal elements. The matrix A∗= ... a)2j=n≥11nnj=0nj−1k2jjl=02j2j − 2l, l, l,where the terms in the inner most sum are multinomial coefficients. the electronic journal of combinatorics 15 (2008), #N5 4 A natural series for the natural logarithmOliver...
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Báo cáo toán học: "A normalization formula for the Jack polynomials in superspace and an identity on partitions" pps
... bi in P[k]j,i. the electronic journal of combinatorics 16 (2009), #R70 18 A normalization formula for the Jack polynomials in superspace and an identity on partitionsLuc Lapointe∗Instituto ... where σj and ∂jare respectively the interchang e and divided difference operators on the variables aj and aj+1(see for instance [6]). The main step in this approach is to the electronic journal ... P[k],+j−1,i−1 The first equality comes from Lemma 12, the second by induction on i for ∆[k],+j,i−1 and by the induction hypothesis for ∆[k−1],+j−1,i−1. We then recognize P[k+1]j,i on the right hand...
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Báo cáo toán học: "A Colorful Involution for the Generating Function for Signed Stirling Numbers of the First Kind" pps
... Beissinger, who was the first to explore [1]combinatorial proofs using colored permutations, for their assistance.References[1] Janet Beissinger. Colorful proofs of generating function identities. ... follows for (π, f ) ∈ Sn,A: If R(π,f)= ∅, let φ((π, f)) = (π, f).Otherwise, let (i, j) ∈ R(π,f)be minimal under the lexicographic ordering of R(π,f). Let˜π = (i, j) ◦ π, the product of the ... of CambridgeStudies in Advanced Mathematics. Cambridge University Press, Cambridge, 1997.With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original. the electronic journal of...
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Báo cáo toán học: "A recurrence relation for the “inv” analogue of q-Eulerian polynomials" ppsx
... A recurrence relation for the “inv” analogue of q-Eulerian polynomialsChak-On ChowDepartment of Mathematics and Information Technology,Hong Kong Institute of Education,10 Lo ... relation algebraically. In the final section, we givea combinatorial proof of this recurrence relation. 2 The recurrence relation We derive in the present section the recurrence relation by algebraic ... denote, resp ectively, the descent number and inversion number of σ in the symmetric group Sn of degree n. We give an algebraic proof and acombinatorial proof of the recurrence relation. 1 IntroductionLet...
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Báo cáo toán học: "A short proof for the number of permutations containing pattern 321 exactly once" ppt
... a short proof for the result of Noonan [3] that the number of permutations of length n containing exactly one occurence of pattern 321 is3n2nn−3.(To be precise, Noonan considered permutations ... A short proof for the number of permutations containing pattern 321 exactly onceAlexander BursteinDepartment of MathematicsHoward UniversityWashington, ... Published: Sep 2, 2011Mathematics Subject Classification: 05A05, 05A15AbstractWe give a short proof for J. Noonan’s result on the number of permutations containing pattern 321 exactly once.In this...
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Từ khóa: các báo cáo toán học haybáo cáo toán học haya simplified method for the determination of bulldozing resistancemobile ad hoc routing protocols survey for the design of vanet applicationsa shell system for the generation of clinical documents2 specifying a time delay for the application of archived redo log filesuse a defined constant for the size of an arraycumulative specificity a universal mechanism for the initiation of protein synthesisa mutagenesis approach for the study of the structure function relationship of human immunodeficneuronal insulin receptor signaling a potential target for the treatment of cognitive and moodtesting for the existence of a rowa new system for the integration of medical imaging processing algorithms into a web environmentactivity theory as a pedagogical framework for the delivery of technology education— a basic element for the construction of thermal hydraulic models and codesprosthesis for flow control in the esophagus as a new technique for the treatment of obesityBáo cáo thực tập tại nhà thuốc tại Thành phố Hồ Chí Minh năm 2018Báo cáo quy trình mua hàng CT CP Công Nghệ NPVNghiên cứu tổ chức pha chế, đánh giá chất lượng thuốc tiêm truyền trong điều kiện dã ngoạiGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitPhối hợp giữa phòng văn hóa và thông tin với phòng giáo dục và đào tạo trong việc tuyên truyền, giáo dục, vận động xây dựng nông thôn mới huyện thanh thủy, tỉnh phú thọTrả hồ sơ điều tra bổ sung đối với các tội xâm phạm sở hữu có tính chất chiếm đoạt theo pháp luật Tố tụng hình sự Việt Nam từ thực tiễn thành phố Hồ Chí Minh (Luận văn thạc sĩ)Phát triển du lịch bền vững trên cơ sở bảo vệ môi trường tự nhiên vịnh hạ longPhát hiện xâm nhập dựa trên thuật toán k meansNghiên cứu, xây dựng phần mềm smartscan và ứng dụng trong bảo vệ mạng máy tính chuyên dùngNghiên cứu về mô hình thống kê học sâu và ứng dụng trong nhận dạng chữ viết tay hạn chếĐịnh tội danh từ thực tiễn huyện Cần Giuộc, tỉnh Long An (Luận văn thạc sĩ)Tìm hiểu công cụ đánh giá hệ thống đảm bảo an toàn hệ thống thông tinTăng trưởng tín dụng hộ sản xuất nông nghiệp tại Ngân hàng Nông nghiệp và Phát triển nông thôn Việt Nam chi nhánh tỉnh Bắc Giang (Luận văn thạc sĩ)Giáo án Sinh học 11 bài 14: Thực hành phát hiện hô hấp ở thực vậtGiáo án Sinh học 11 bài 14: Thực hành phát hiện hô hấp ở thực vậtGiáo án Sinh học 11 bài 14: Thực hành phát hiện hô hấp ở thực vậtBÀI HOÀN CHỈNH TỔNG QUAN VỀ MẠNG XÃ HỘIHIỆU QUẢ CỦA MÔ HÌNH XỬ LÝ BÙN HOẠT TÍNH BẰNG KIỀMMÔN TRUYỀN THÔNG MARKETING TÍCH HỢPTÁI CHẾ NHỰA VÀ QUẢN LÝ CHẤT THẢI Ở HOA KỲ