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Báo cáo toán học: "Adding layers to bumped-body polyforms with minimum perimeter preserves minimum perimeter" pptx

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Báo cáo khoa học: "Adding Syntax to Dynamic Programming for Aligning Comparable Texts for the Generation of Paraphrases" potx

... 747–754,Sydney, July 2006.c2006 Association for Computational LinguisticsAdding Syntax to Dynamic Programming for Aligning Comparable Texts for the Generation of ParaphrasesSiwei Shen, Dragomir R. ... features. The output matrix is used to guide the align-ment. Starting from the bottom right entry of the matrix, we go to the matrix entry from which the value of the current cell is derived in the ... (Milan Theater) and is not at the beginning of that constituent. Finally, the syntactic depen-dence trace of a word is the path of IOB valuesfrom the root of the tree to the word itself. The last...
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Báo cáo toán học: " An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem" docx

... spaces and a new perspective to the Mazur-Ulam problemJournal of Inequalities and Applications 2012, 2012:14 doi:10.1186/1029-242X-2012-14Choonkil Park (baak@hanyang.ac.kr)Cihangir Alaca (cihangiralaca@yahoo.com.tr)ISSN ... Korea2Department of Mathematics, Faculty of Science and Arts,Celal Bayar University, 45140 Manisa, Turkey∗Corresponding author: cihangiralaca@yahoo.com.trEmail address:CP: baak@hanyang.ac.kr1 ... 2-fuzzy n-normed linear spaces and a new perspective to the Mazur–UlamproblemChoonkil Park1 and Cihangir Alaca∗21Department of Mathematics, Research Institute for Natural Sciences,Hanyang University,...
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Báo cáo toán học: " Exploiting periodicity to extract the atrial activity in atrial arrhythmias" doc

... a main atrial rhythm in the interval 3-12 Hz. It enables us to establish the problem as the separation of the original sources from the instantaneous linear combination of them recorded in the ... still looking for a peri-odic signal in the interval, and the only one is th e atrial activity. Of course, the better the initial estimation, the better the quality of the extraction. In the case ... sources defined by the rows of A, that is, the contri-bution of the atrial component to the observation vectoris defined by the corresponding column ai in the mixingmatrix A. Following this interpretation...
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Báo cáo toán học: " Infinite-Dimensional Ito Processes with Respect to Gaussian Random Measures and the Ito Formula" potx

... D. H. Thang, On Ito stochastic integral with respect to vector stable random measures, Acta Math. Vietnam. 21 (1996) 171–181.12. D. H. Thang, Vector random stable measures and random integrals, ... fordefining the Y -valued Ito process and establishing the Ito formula, in Secs. 3 and 4 we construct the Ito integral of L(X, Y )-valued adapted random func-tions w.r.t. an X-valued symmetric Gaussian ... similar to the proof of Lemma 3.2 and the Ito s methodin [6] we can define the random integralfdZ for random functions f ∈M.Theorem 3.4. Let X, Y be Banach spaces of type 2. Then there exists...
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Báo cáo toán học: "Maximum subsets of (0, 1] with no solutions to x + y = kz" pptx

... integer and y ∈1,k2.Withy fixed, the functionF y (m)=f(m, y) is an increasing linear function of m with root m (y) givenbym (y) =k +3 −k(k − 1) − 2y y(k −2).So the root m (y) ofF y (m) is ... (S [kx 1, 1]) 12[1 (kx −1)]. (3.1)If we now letS = 1kx −1w|w ∈ S ∩(0,kx− 1] then Sis k-sum-free andà(S )= 1kx 1à(S (0,kx1] = 1kx 1(à(S) µ(S ∩ [kx −1, 1]) )≥1kx − 1(kx ... Maximum subsets of (0, 1] with no solutions to x + y = kzFanR.K.ChungDepartment of MathematicsUniversity of PennsylvaniaPhiladelphia, PA 19104John L. GoldwasserWest Virginia UniversityMorgantown,...
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Báo cáo toán học: "From Recursions to Asymptotics" pdf

... functions to provetheir asymptotic formula for p (n), the total number of partitions of n.)“It is very important, in dealing with such a problem as this, to distinguishclearly the various stages to ... found viatheir formal method are observed to be asymptotically correct over a certain rangeby comparison to known results. However, proof of asymptotic correctness is not apart of their method. ... thusmaking approximations like the first in (3.1) still valid; and it is large enough to From Recursions to Asymptotics: On Szekeres’ Formulafor the Number of PartitionsE. Rodney CanfieldDepartment...
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Báo cáo toán học: "A Color-to-Spin Domino Schensted Algorithm" pot

... here is a domino tableau of shape (6, 6, 3, 3, 2):1 2 447 81 2 667 833955910 10.It is clear that the cells occupied by the same value in a domino tableau make up a domino. If D is a domino ... the number of dominoes in D. It is easy to check thatthe result is true if D is empty. Suppose the lemma is true for all D with k dominoes.Let D be a domino tableau with k + 1 dominoes. Let ... Thus, in the construction of (Dd← x), the domino δ will domino bump” the domino containing the z’s. We must therefore verify that theresult of this domino bump” is the same as the two mixed...
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Báo cáo toán học: "An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding" ppsx

... 13 An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding PermutationsJason Bandlow and Kendra KillpatrickMathematics DepartmentColorado State UniversityFort Collins, Coloradobandlow@math.colostate.edukillpatr@math.colostate.eduSubmitted: ... defined by Garsia and Haiman in 1994. In 2000,Garsia and Haglund described statistics a(π)andb(π) on Dyck paths such thatCn(q, t)=qa()tb()where the sum is over all n ì n Dyck paths. Specializingt ... combinatorial objects. In this paper, we define a bijection between Dyck paths and 312-avoiding permutations which takes the area statistic a(π)on Dyck paths to the inversion statistic on 312-avoiding...
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Báo cáo toán học: "An Introduction to q -Species" doc

... not q- counting ordinary combinatorial structuresbut counting structures associated to vector spaces over the field of order q. Second, a q- species is a functor from a category of vector spaces to ... λi∈ F q .ThenD = E ◦ F where F is the q- species definedF[V ]=F q , if dim V =1,∅, otherwise.ThenF(x)= q q − 1xD(x)=exp q q − 1xD(x)=1(1 − x) q .Example 3.14. Let Fì q be ... generating series isP(x)=n≥0[n] q γnxn,where [n] q =1 +q + q 2+ ···+ q n−1is the q- analog of n. (Note that [0] q =0.)the electronic journal of combinatorics 12 (2005), #R62 2 Therefore,ZF...
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Báo cáo toán học: "Adding layers to bumped-body polyforms with minimum perimeter preserves minimum perimeter" pptx

... preservation of min perimeter through half layers) Addinghalf layers to a BB polyomino with min perimeter constructs a BB polyomino with min perimeter. Proof. Let the BB polyomino have min perimeter P0and ... preservation of min perimeter through layers) Adding layers to a BB polyhex with min perimeter constructs a BB polyhex with min perimeter. 7 3D polyominosThis section is somewhat similar to the section ... induction.Theorem 14. (BB polyiamond layers perimeter and area) Adding  ≥ 1 layers to a BBpolyiamond with x extra triangles, perimeter P0, and area A0constructs a BB polyiamond with perimeter P= P0+6...
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Báo cáo toán học: "A counterexample to a conjecture of Erd˝s, Graham and Spencer o" pdf

... A counterexample to a conjecture of Erd˝os, Graham and Spencer Song Guo∗Department of Mathematics, Huaiyin Teachers College,Huaian 223300, The People’s Republic of Chinaguosong77@hytc.edu.cnSubmitted: ... suggestions.References[1] Yong-Gao Chen, On a conjecture of Erd˝os, Graham and Spencer, J. Number Theory119 (2006) 307-314.[2] P. Erd˝os, R.L. Graham, Old and New Problems and Results in Combinatorial NumberTheory, ... < a s and si=11 /a i< 2, then there exists a subset A of {1, 2, . . . , s} such thati A 1 a i< 1,i∈{1, ,s} \A 1 a i< 1?S´andor [3] gave a simple construction to show that...
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Báo cáo toán học: "An Improvement to Mathon’s Cyclotomic Ramsey Colorings" pdf

... Journal of Combinatorics, #R35,11(1) (2004), 24 pages, http://www.combinatorics.org.the electronic journal of combinatorics 16 (2009), #N1 5 An Improvement to Mathon’s Cyclotomic Ramsey ColoringsXiaodong ... led to several best known lower bounds for Ramsey numbers (cf.[4]).Higher order (m ≥ 3) cyclotomic relations beyond the basic Hmpso far seem to benot much exploited in the context of Ramsey ... themaximum monochromatic cliques equal to α and α + 1, respectively.In the case of quadratic (m = 2) cyclotomic relations Mathon’s construction is equiv-alent to the “doubling” of Paley graph described...
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Báo cáo toán học: "On the Structure of Sets with Few Three-Term Arithmetic Progressions" pptx

... combinatorics 17 (2010), #R128 15 On the Structure of Sets with Few Three-Term Arithmetic ProgressionsErnie Croot∗Georgia Institute of TechnologySchool of Mathematics103 SkilesAtlanta, Ga 30332ecroot@math.gatech.eduSubmitted: ... number of cosets of some lar ge-dimensional su bspace of Fnp.1 Introduction Of central importance to the subject of additive combinatorics is that of determining whena subset of the integers ... not bothered to optimize the conclusion of the theorem (to the same extent as we did Theorem 1) given the method of proof, though much more can certainly be proved:Theorem 2 Fix a characteristic...
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Báo cáo toán học: "More Counterexamples to the Alon-Saks-Seymour and Rank-Coloring Conjectures" pps

... counterexamples to the Alon-Saks-Seymour Conjecture and to the Rank-Coloring Conjecture. We computed the eigenvalues of the adjacency matr ices of these graphs and obtained tight bounds for the ... fixed k ≥ 2 and r ≥ 1 and n larg e enough, the graphs G(n, k, r) are counterexamples to both the Alon-Saks-Seymour Conjecture and the Rank-Coloring Conjecture. Our construction extends the constructions ... from the Kasami graphs by Roy and Royle [16]. To our knowledge, Nisan and Wigderson’s construction from [11] yields the largest gap between the chromatic number and the rank at present time. The...
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