Báo cáo toán học: "Profile classes and partial well-order for permutations" doc

... matrix and G(M) is a forest then the strong completion of (Prof(M), ≤) is partially well-ordered. 4 When profile classes are not partially well-ordered We have half of Theorem 2.2 left to prove, and ... m× n matrix and (i, j) ∈ [m]×[n], we denote by M i,j the entry of M in row i and column j.ForI ⊆ [m]andJ ⊆ [n], we let M I×J stand for the submatrix (M i,j ) i∈I,j∈J . We write M t...

Ngày tải lên: 07/08/2014, 07:21

... depositions are simulated for wet etching: a–d are for 3D conformal gold deposition, e–h are for non-conformal gold deposition with h c =-10°, and i–l are for non-conformal evaporation with h c = ... non-conformal part is calculated as a tangent cylindrical surface to the conformal part with Eq. 3; and finally the wet etching is calculated by Eq. 9 for the conformal part and Eq...

Ngày tải lên: 22/06/2014, 00:20

... Otago, New Zealand mike@cs.otago.ac.nz M. M. Murphy and N. Ruˇskuc School of Mathematics and Statistics University of St Andrews, Scotland, KY16 9SS nik@mcs.st -and. ac.uk and max@mcs.st -and. ac.uk Submitted: ... on the t i and the automaton M and not on E(σ(i)). Therefore the sequence t 1 ,t 2 , is ultimately periodic. So, for some P>0andN we have t j = t j+P for all j ≥ N....

Ngày tải lên: 07/08/2014, 13:21

... positive integer and let σ denote the golden ratio ( √ 5 −1)/2. Then ∞  m=1 m (2m +1) n−1 σ m+2 = σ −2n n  k=1 b nk σ k ,(1) where the numbers b nk are defined by b 1,1 =1,b nk =0fork ≤ 0andfork>n ,and the ... polynomial identity, it suffices to verify it for all integers p and q such that q is divisible by p. Given one color for plus signs and q p colors for minus signs, split...

Ngày tải lên: 07/08/2014, 06:20

... case c > 0 and 0 < θ < 1. For fixed z inside the unit disk, the summands have a peak at some n and then decrease rapidly, which makes the Laplace method a natural approach for estimating ... functions. SIAM Journal on Algebraic and Discrete Methods 3, 2 (1990), 216–240. [12] Flajolet, P., and Sedgewick, R. Mellin transforms and asymptotics: finite differences and Rice’s...

Ngày tải lên: 08/08/2014, 11:20

... vertices and edges defined in the usual way for graphs. For a thorough study of clutters and hypergraphs from the point of view of combina torial optimization and commutative algebra see [6, 25] and ... of G, and the columns o f [A| −I n ] that are active in F γ are precisely the columns of A and they form a Hilbert basis. (b) By Lemma 3.7 (parts (ii) and (iii)), cones preser...

Ngày tải lên: 08/08/2014, 12:22

... ement, input, and patience of Ed Swartz. Thanks also to the anonymous referee for numerous helpful suggestions. References [1] Anders Bj¨orner. The homolo gy and shellability of matroids and geometric ... interchanging of σ(i) and σ(i + 1) in σ a switch. Recall that the weak order on S d , for which we write < w , is the partial order given by the following property: σ < w...

Ngày tải lên: 08/08/2014, 12:23

... 19 where R, G, P , Q,andR g are the formal power series defined and calculated for the rule Ω  , and, for any formal power series Z on the alphabet Σ, ξ(Z) is defined as the formal power series ... A a,b , B a,b , A r , B r , A g ,andB g . In practice, all the equations in (33) can be easily deduced from the equations (31) and (32) for the series A and B. For instance the equati...

Ngày tải lên: 07/08/2014, 08:20

... called rule classes, each of which handles some linguistic phenomenon. These rule classes are subdivided into transformation classes and meaningful rule classes. A meaningful rule class handles ... ce = [ce, l and ((D~ = D and u = t and A = false) or (D2, u, true) • CF_,-PARSER(GI, ce,, D, t) and A = true) } U { (D~, u, A) I B ce,: ce = {ce,} and ((D~ = D and...

Ngày tải lên: 22/02/2014, 10:20

... cross document coreference and conclude in Section 5. 2 Methods 2.1 Document Level and Profile Based CDC We make distinctions between document level and profile based cross document coreference. Docu- ment ... and geo- locations for disambiguation. Simple IR based CDC approaches (e.g. (Gooi and Allan, 2004)), on the other hand, may simply use all the terms and this can be detrimen...

Ngày tải lên: 08/03/2014, 00:20