Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx

... proved by examining the considerations in Step 5 and Step 6 of the proof of Theorem 2 in more detail. 4. Another two-parameter family of determinants. The goal of this section is to evaluate the determinant ... inequality being an assumption in the statement of the Theorem. The product in the numerator of the right-hand side of (3.25) consists of factors o...

Ngày tải lên: 07/08/2014, 06:20

... lines are parallel if they are parallel to the same λ parallel classes. It is well known and easy to prove that a line L has at most m points; and L has exactly m points if and only if each block ... − 1) parallel classes that are parallel to L.NowΓhasr =(µm 2 − 1)/(m − 1) parallel classes and so has r −λ = µm not parallel to L. Choose Y from any of the µm − 1 parallel classes...

Ngày tải lên: 07/08/2014, 06:22

... slightly, in an obvious way, from one of the two original proofs [8] of the MacWilliams identity, and from Kløve’s proof [6] of Theorem 6. ProofofTheorem2. Let χ be a non-trivial character of q and define ... obtain two theorems which turn out to be equivalent to each other and to the ‘Critical Theorem’ by Crapo and Rota [4]. The main tool is a generalisation of...

Ngày tải lên: 07/08/2014, 06:23

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Ngày tải lên: 05/08/2014, 09:46

... 0, so the hypotheses of the above claim are satisfied, and hence x(µ)  x(ν). On the other hand, bearing in mind that µ and ν are in the interior of the same Weyl chamber C,andwµ = µ + and wν ... tightness. The first involves the “stratification” of an orbit relative to the action of a parabolic subgroup, and the second involves confining a face of the do...

Ngày tải lên: 07/08/2014, 08:22

... For historical accuracy, [10] described the proof of Lemma 3 in this special setting. The manuscript [14] available on the web gives a detailed proof to Lemma 3. A variant of Lemma 3 has been proved ... place of A i simulta- neously, for any permutation π of [n]. Lemma 5 Assume that the events A 1 , A 2 , , A n are symmetric, and let p i denote Pr (A 1 ∧ A 2...

Ngày tải lên: 07/08/2014, 15:23

... same idea as in the proof of Theorem 1. Let G be a graph, S a γ a (G)-set, W a maximal independent set of G and B a maximal independent set of N V \S (S)\N V \S (W ). Then W ∪B is a maximal independent ... set and that in every graph, γ(G) ≤ i(G) ≤ β(G) where γ(G) and i(G) are respectively the minimum cardinality of a dominating set and of an independent do...

Ngày tải lên: 07/08/2014, 21:20

... 1). Alterna- tively, a partial (Figure 2) or normal cementation of the spacer into the femoral canal provides the advan- tage of rotational and axial stability [3]. A normal ce- mentation has the ... mantle and a spacer head is an elegant method that treats both the fracture and the infection (Figure 8). At the time of prosthesis reimplantation, the spacer...

Ngày tải lên: 26/10/2012, 09:53

... disambiguation systems, one trained on bilingual material (the Canadian Hansards) and the other trained on monolingual material (Roget's Thesaurus and Grolier's Encyclopedia). After ... vegetation A~ aAL are more closely related to cranes and rails .SB They range ANIMAL low trees .PP At least five crane species are in danger of ! AN~t~ After using both the mo...

Ngày tải lên: 17/03/2014, 08:20

... Sec pathway, has changed during the past decade: the Tat pathway was considered as an achievement of higher plants until its occurrence in (cyano)bacteria was dem- onstrated [5]. On the other hand, the ... primer was designed using a peptide sequence (EGLTYDQ) obtained via Edman-sequencing [25]. psbU: forward primer: 5¢-AAGAATTCACGAGGCAGAAATG GCGTTC-3¢, reverse primer: 5¢-AAGGATCC...

Ngày tải lên: 30/03/2014, 15:20