Báo cáo toán học: " How Many Squares Must a Binary Sequence Contain" pptx

... q. a 1 a 2 a 1 a 2 a 1 a 2 a 3 a 1 a 2 a 4 a 3 a 1 a 1 a 2 a 4 a 2 a 1 a 3 a 3 a 1 a 3 a 5 a 2 a 1 a 1 a 3 a 5 a 2 a 4 a 3 a 3 a 5 a 2 a 5 a 2 a 4 (3) Define C(q)by C (a 1 ) = 011 000 111 001 C (a 2 ) ... of Mathematics, Curtin University, Perth WA 6001, Australia. Email: tsimpsonr@cc.curtin.edu.au Table 1. Possible pair...

Ngày tải lên: 07/08/2014, 06:20

... ternary alphabet {a 1 ,a 2 ,a 3 } toawordW 5 over the quinary alphabet {a 1 ,a 2 ,a 3 ,a 4 ,a 5 },andthen by applying to W 5 a morphism to the binary alphabet {0, 1}. The first step is such that the ... 2003 Abstract Every binary word with at least four letters contains a square. A. Fraenkel and J. Simpson showed that three distinct squares are necessary and sufficient t...

Ngày tải lên: 07/08/2014, 07:21

... database contains a document an image, and its caption. ples like the ones shown in Table 1. During test- ing, we are given a document and an associated image for which we must generate a caption. Our ... divergence similarity function). Evaluation We evaluated the performance of our models automatically, and also by eliciting hu- man judgments. Our automatic evaluation was based on T...

Ngày tải lên: 30/03/2014, 21:20

... 1byLemma1andthetotal score of U is ab− (a+ 1− a )−(b+1−b). Then we have N  <ab− (a+ 1− a )−(b+1−b) for any factor λ −1 < 1, i.e., ν (a, b) <ab− (a +1− a ) −(b +1−b), as required. A square ... from the fact that each unit square consumes at least area 1 from the entire square R,whereR can be regarded as an unavoidable set from which unit square takes score 1. In the xy-plane...

Ngày tải lên: 07/08/2014, 13:21

... that have a minimal sum of distances to all other vertices. They are also useful in mathematical chemistry. For example, bipartite distance-balanced graphs have the maximal Szeged index among all ... term distance-balanced but in fact use the equivalent definition of self-median. Distance-balanced graphs are relevant in the area of facility location problems [4] because the median of a gra...

Ngày tải lên: 08/08/2014, 12:23

... electronic journal of combinatorics 8 (2001), #R7 11 How to find overfull subgraphs in graphs with large maximum degree, II Thomas Niessen Institute of Statistics, RWTH Aachen, 52056 Aachen, Germany niessen@stochastik.rwth-aachen.de Submitted: ... referee. References [1] R.K. Ahuja, T.L. Magnanti and J.B. Orlin. Network flows. Prentice Hall (1993). [2] A. G. Chetwynd and A. J.W. Hilton. The...

Ngày tải lên: 07/08/2014, 06:22

... only a mathematical genius, but also a very talented pianist and erudite talmid khacham. He was also very versatile in his mathematical interests, and did both pure ‘Radical Calculus’, that he ... in collaboration with Alan Sloan, and very applied math, consulting for industry. He was also “Black-Scholes when Black-Scholes wasn’t yet cool”, and gave a fascinating series of talks about u...

Ngày tải lên: 07/08/2014, 06:23

... New families of atomic Latin squares and perfect one-factorisations, J. Combin. Theory Ser. A, toappear. [4] J. D´enes and A. D. Keedwell, Latin squares and their applications,Akad´emiai Kiad´o, Budapest, ... cyclic order down each broken diagonal, and such squares have been called diagonally cyclic. See [18] for a survey of the many important applications of diagonally cyclic lat...

Ngày tải lên: 07/08/2014, 08:22

... F  outside I, as well. Note that A is not empty, since F 1 ,F 2 A. Now for any A ∈Alet f (A) = (A \ I) ∪{1}. (Observe that for any A A there is A  A F 0 with A ∩ A  = I, A \ I = A \ A  ,sof (A) ∈ 1 ... (A) ∈ 1 +∆F 0 as required!) As all A ∈Acontain I, f is injective restricted to A. To show that ρ F  (f (A) ) ≥ ρ F (A) , observe that f (A) ⊂ A ∪{1}. Therefore...

Ngày tải lên: 07/08/2014, 08:22

... Published: May 5, 2008 Mathematics Subject Classification: 9 1A2 4 Abstract The graph (non-)planarity game is played on the complete graph K n between an Enforcer and an Avoider, each of whom take one ... rounds. Hefetz al. [7] gave a strategy for Avoider that allowed him to keep his graph planar for at least 3n −28 √ n turns. In this paper we provide a better strategy for Avoider and obta...

Ngày tải lên: 07/08/2014, 15:22