application of subwavelength grating in visible range to realize a polarized ingan light emitting diode
OPTIMAL COMPUTING BUDGET ALLOCATION FOR SIMULATION BASED OPTIMIZATION AND COMPLEX DECISION MAKING
... modeling framework In practical aspect, this study may provide clearer guidelines for the application of OCBA in simulation optimization problems by integrating searching algorithms and the application ... these papers, although certain changes to OCBA are made according to different problems, its main idea is still retained All numerical results in these papers show that OCBA can save a lot of computing ... replications for all alternatives Calculate sample mean and sample variance of each alternative LOOP WHILE T n < T DO 27 ALLOCATE Calculate the value of α n ≡ (α1n , α 2n , , α kn ) according to...
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Báo cáo toán học: " A Bijective Proof of Garsia’s q-Lagrange Inversion Theorem" pdf
... [15] C Krattenthaler, Operator methods and Lagrange inversion: a unified approach to Lagrange formulas, Trans Amer Math Soc 305 (1988), 431465 [16] S Ramanujan and L J Rogers, Proof of certain identities ... Gessel, A non-commutative generalization and q-analogue of the Lagrange inversion formula, Trans Amer Math Soc 257 (1980), 455–481 [11] I M Gessel and D Stanton, Applications of q–Lagrange inversion ... Garsia’s operator techniques, which unifies and extends the q-Lagrange inversion theorems of Garsia [7] and Garsia-Remmel [9] Garsia, Gessel and Stanton, and Singer have shown that Rogers-Ramanujan type...
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Báo cáo toán học: "Random Cayley graphs are expanders: a simple proof of the Alon–Roichman theorem" potx
... Recalling that R contains a single copy of the trivial representation and observing that the operator g R(g) has rank (indeed, in the basis above, each entry in the corresponding matrix is a 1), ... dimensional Hilbert space V For A ∈ A( V ), we let A denote the operator norm of A equal to the largest absolute value obtained by an eigenvalue of A The cone of positive operators P(V ) = {A ∈ A( V ... 2001 [2] Noga Alon Eigenvalues and expanders Combinatorica, 6:83–96, 1986 [3] Noga Alon and Vitali D Milman Eigenvalues, expanders and superconcentrators (extended abstract) In 25th Annual Symposium...
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Báo cáo toán học: "A Simple Proof of the Aztec Diamond Theorem" potx
... functions, to evaluate the determinant of a Hankel matrix of large Schr¨der numbers Here we use a combinatorial approach that simplifies the o evaluation of the Hankel determinants of large and small ... interested to hear a purely combinatorial proof of this recurrence relation In a similar manner we derive the determinants of the Hankel matrices of large and small Schr¨der paths of the forms ... Kirkland, Aztec diamonds and diagraphs, and Hankel determinants of Schr¨der numbers, J Combin Theory Ser B, to appear o [3] M Ciucu, Perfect matchings of cellular graphs, J Algebraic Combinatorics...
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Báo cáo toán học: "Proof of an intersection theorem via graph homomorphisms" docx
... journal of combinatorics 13 (2006), #N6 References [1] I Dinur, S Safra, On the importance of being biased (1.36 hardness of approximating Vertex-Cover) Annals of Mathematics, to appear Proc of ... the arc C =ab of length 1/2 that contains the arc xy such that the chord ab is parallel to xy A short reflection shows that replacing all points in I that are not in C by their antipodal points ... assume that I is contained in C, and Ý therefore in xy and so the maximal possible value of µH (I) is obtained by an interval of length p ¾ A special property of H that we will use is that α(H...
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Báo cáo toán học: "On the Proof of a Theorem of P´lfy a" doc
... calculations and not seem to make transparent why the condition gcd(n, ϕ(n)) = is crucial We shall show that Lemma’s 1.2-1.4 of [6] can more or less be replaced by an application of Philip Hall’s ... solvable, and in that case any two Hall π-subgroups of G are conjugate in G Definition Let G be a transitive permutation group of degree mk that admits a complete block system B of m blocks of ... degree k and the electronic journal of combinatorics 13 (2006), #N16 contains a normal regular abelian subgroup of degree k By [3, Corollary 4.2B], we have that Stab x,y (B)|B is isomorphic to the...
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Báo cáo toán học: "Orthogonal art galleries with holes: a coloring proof of Aggarwal’s Theorem" potx
... , to the diagonals of quadrilateralization Q, and to the added internal diagonals of all quadrilaterals, as depicted in Fig Our goal is to 4-color graph GQ the electronic journal of combinatorics ... of P into a set of convex quadrilaterals with pairwise disjoint interiors in such a way that the edges of those quadrilaterals are either edges or internal diagonals of P joining pairs of vertices ... quadrilateralization and a 4-coloring of the resultant quadrilateralization graph Let us recall that a quadrilateralization of an orthogonal polygon P (with or without holes) is a partitioning of...
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Báo cáo toán học: "A quantitative ergodic theory proof of Szemer´di’s e theorem" pot
... Banach algebras: Proposition 5.4 If A is a shift-invariant Banach algebra, then so is U AP [A] Furthermore U AP [A] contains A, and f U AP [A] ≤ f A for all f ∈ A Finally, if A is scale-invariant ... precise we encapsulate it in the following abstract lemma (which has a certain resemblance to Zorn’s lemma, and can be in fact thought of as a “quantitative” version of that lemma; it also resembles ... amount of structural notation (of a somewhat combinatorial nature) in order to compensate for the lack of an existing body of notation such as is provided by the language of ergodic theory In writing...
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Báo cáo toán học: "A short proof of a theorem of Kano and Yu on factors in regular graphs" pot
... containing e and a 1-factor avoiding e, then G has a k-factor containing e and a k-factor avoiding e for every k ∈ {1, 2, , r − 1} Proof Let F and Fe be two 1-factors of G containing e and avoiding ... graph G−e has a 1-factor In addition, G−E(F ) is an (r − 1)-regular factor of G avoiding e, and so G − e has an (r − 1)-factor Applying Theorem 2, we deduce that G − e has all regular odd factors ... statement is valid in this case Case 2: Assume that r = 2m is even In view of Theorem 1, G has all regular even factors containing e or avoiding e, respectively Since G has a 1-factor avoiding...
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Báo cáo toán học: "A Bijective Proof of a Major Index Theorem of Garsia and Gessel" doc
... P(b, a) of partitions containing a parts (some of which may be zero) all less than or equal to b Both of these sets have cardinality a+ b = n In the case of S(θ, π), a a a shuffle is determined ... Matchings, and Signed Words, European Journal of Combinatorics 26, 195-232 (2005) [7] P .A MacMahon, Two Applications of General Theorems in Combinatory Analysis, Proceedings of the London Mathematical ... It remains to show that Φ is indeed a bijection, and the remainder of this section is devoted to proving this fact It is not immediately clear that Φ even maps S(θ, π) into P(b, a) at all To prove...
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Báo cáo toán học: "An entropy proof of the Kahn-Lov´sz theorem a" ppsx
... The key idea of Radhakrishnan’s proof was to introduce a randomized version of the chain rule This idea has been used in other entropy proofs and seems to be a powerful tool when applying entropy ... chain rule, H(X) = H ((XA )A A ) = H(XA |XB , B ≺ A) A We are now ready to present the entropy proof of Theorem due to Radhakrishnan The proof proceeds by applying the randomized chain rule above ... element of I We require |A | = Suppose that is a uniformly random (total) ordering of I We define a random variable XA that we call a uniform random late choice from A by picking an element of x ⋆ Ax...
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English 7 Unit 7 The world of work 3.ppt
... Speak Fill in the grid and practise in pairs Vacations the longest vacation Tet holiday Thanksgiving Christmas Independence Day Easter New Year’s Day Vietnamese Students American Students In the ... have a long summer vacation, too? We don’t have a Tet holiday, but we celebrate the New Year on January 1st Our most important vacations are Easter, 4th of July, Thanks giving and Chirstmas We ... important vacations are New Year’s Day and summer vacation American students usually spend their time with their families on their vacations Vietnamese students have fewer vacations than American...
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Exercises of unit 3
... however, the practice of shaking hands had a more practical purpose Shaking hands originated in medieval times In those days, when a man came on a stranger, he would often automatically reach for his ... complaining _in the rain a for waiting b me about waiting c about having to wait d that they have to wait 27 In the interview, Mr Brown acknowledged that he to be prime minister a wish ... greeted Mary and asked how she was 60 "Please don't leave until I come back," Sarah said a Sarah told us not leave until she comes back b Sarah asked us not leave until she came back c Sarah told...
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solutions to exercises and problems of Introduction of algorithm 3 (Bài giải sách Introduction of algorithm )
... algorithm that was modified to take an element to partition around as an input parameter S ELECT takes an array A, the bounds p and r of the subarray in A, and the rank i of an order statistic, and in ... merge-inversions involving the sentinel in R, since no value in L will be greater than Since we have added only a constant amount of additional work to each procedure call and to each iteration of ... and that method (b) is asymptotically at least as good as (a) (Comparing (c) to (b) is easy, but it is less obvious how to compare (c) and (b) to (a) (c) and (b) are asymptotically at least as...
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Think of Java 3
... adequate to easily solve all programming problems, and advocate the combination of various approaches into multiparadigm programming languages.2 An object has an interface Aristotle was probably ... Scott Callaway who has maintained it This has been an invaluable aid while I was learning about the Web Thanks to Cay Horstmann (co-author of Core Java, Prentice Hall 1997), D’Arcy Smith (Symantec), ... the WHAT of Java (describing the syntax and the libraries) or the HOW of Java (practical programming examples) Thinking in Java is the only book I know that explains the WHY of Java; why it was...
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Tài liệu Golf and the game of leadership 3 ppt
... Motors leaders in Dayton, Ohio I am convinced he was not thinking about the game of golf as he developed his theory of motivation in the workplace But I am equally certain that he was thinking about ... the leader intent on creating and sustaining a motivational organization environment is clear Southwest Airlines, one of the most successful U.S airlines of the past fifteen years, appears to put ... factors than as a leader in the organizational context? Leaders, like golfers, never run out of challenges Leadership offers the ‘‘real leader’’ the internal satisfaction only it can bring: To...
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