Báo cáo toán học: "Higher Chain Formula proved by Combinatorics" ppsx

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... A Plethysm Formula for p à (x) h (x) William F. Doran IV Department of Mathematics California Institute of Technology Pasadena, CA 91125 doran@ cco.caltech.edu Submitted: ... ) are given in Table 1. So, p (2) (x) ◦ h (2,1) (x)= s (6) (x) − s (5,1) (x)+ 2s (4,2) (x) − 2s (3,3) (x) − s (4,1,1) (x)+ s (2,2,2) (x)+ s (3,1,...

Ngày tải lên: 07/08/2014, 06:20

... interpretation of the closed formula (10) for the number of con- vex permutominoes. We remark that the expression of f n resembles the expression (1) for the number c n of convex polyominoes of semi-perimeter ... : the uppermost cell of the rightmost column of the polyomino has the maximal ordinate among all the cells of the polyomino; U2 :...

Ngày tải lên: 07/08/2014, 15:22

... Since no x 3 , x 4 are the electronic journal of combinatorics 16 (2009), #N21 3 Higher Chain Formula proved by Combinatorics Tsoy-Wo Ma ∗ School of Mathematics and Statistics, University of Western ... p k ! p k1 +ÃÃÃ+p k y i x p k1 Ã Ã Ã x p k m ki . (6.1) 7. We shall prove this formula by interpretation rather than by formal argument. L et us examine the special case when...

Ngày tải lên: 07/08/2014, 21:21

... b i 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 partitions Luc Lapointe ∗ Instituto ... where σ j and ∂ j are respectively the interchang e and divided difference operators on the variables a j and a j+1 (see for instance [6]). The main st...

Ngày tải lên: 07/08/2014, 21:21

... t). The basic idea of the proof of Theorem 3.1 is to show F à (q, t) and G à (q, t) satisfy the same recursion in the hook case. Proof. We first note the Garsia-Haiman recursion for the Hilbert series ... to the product of the weights of each of its entries, here the weight of entry s in T is taken to be the weight of the corner square containing s in...

Ngày tải lên: 08/08/2014, 12:22

... journal of combinatorics 17 (2010), #R107 20 A conjectured formula for Fully Packed Loop configurations in a triangle Paul Zinn-Justin ∗† LPTMS (CNRS, UMR 8626), Univ Paris-Sud 91405 Orsay Cedex, ... “MISGAM” and ANR program “GIMP” ANR- 05-BLAN-0029-01. † The author wants to thank R. Langer for her participa tio n in the early stages of this project, J. Thap- per for...

Ngày tải lên: 08/08/2014, 12:22

... if i = N, π i if i = N. the electronic journal of combinatorics 18 (2011), #P28 15 A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of the Symmetric Group Tom Denton Submitted: ... automorphism of the un- derlying graph of a Dynkin diagram induces an auto morphism of the Hecke algebra. For the Dynkin diagram of S N , ther...

Ngày tải lên: 08/08/2014, 12:23