Báo cáo toán học: "† Pairs of disjoint q-element subsets far from each other" pot

... G 0 =(V,E 0 )andG 1 =(V,E 1 )thatsatisfytherequirementsof Theorem 1.3. The vertex set V consists of the q-element subsets of X, |V | =  n q  = N. Two q-element subsets are adjacent in G 0 if their intersection is empty, while two q-element subsets ... Y 1 be the set of all disjoint pairs {A, B} of q-element subsets of an n-element X. δ 1 ({A 1 ,B 1 }, { A 2 ,B...

Ngày tải lên: 07/08/2014, 06:23

... induction of Relative intensity of gene expression level 1 2 3 0 pb-1 pb-2 pb-3 Figure 5 Effect of exposure to Co-PCBs and TCDD on transcription levels of CYPs from 26 Fig. 5 P. brevispora. Each ... length of 2871 bp, and pb-3 had 16 exons and 15 introns, with a length of 2595 bp. As shown in Table 3, the number, size and order of exons was the same in pb-1 and pb-3,...

Ngày tải lên: 20/06/2014, 20:20

... properties, 131 Iiswidely usedinvariousdiagnosticexaminationsaswellasin radion uclide therapy of many different kinds of disorders [15-18]. The aim of this study was to investigate the effects of an internal exposure of 131 I of low absorbed doses on the gene ... regulation of cell adhesion Negative regulation of enzyme activity Positive regulation of actin filament polymeri...

Ngày tải lên: 20/06/2014, 21:20

... v is disjoint from the set of labels on the rising chain from v to w; each of these sets is also disjoint from the set of labels on the rising chains from ˆ 0tou and from w to ˆ 1. This is possible ... set of labels on the unique rising chain from ˆ 0tou isthesameasthesetoflabelsonthe unique rising chain from w to ˆ 1. Second, the set of labels on the rising chai...

Ngày tải lên: 07/08/2014, 06:20

... additive group of (F q ) 4 , while we can view the additive group of (F q ) 6 as (GF (q 3 )) 2 , taking the q 3 + 1 hyperplanes. Each of the sets D i will consist of a union of q 3 +1 q+1 of these ... p 2 rows. Each of the D i except for D 0 and D p will consist of taking only those elements of order p 2 (elements in G  − pG  ) from p −1 of the rows and combining t...

Ngày tải lên: 07/08/2014, 21:20

... a minor of one of these graphs (obtained from Σ n by deletion/contraction of edges). In particular the response matrix of any planar graph on n nodes is the same as that for a minor of the standard ... is then a global sign of (−1) σ where the sign of the pairing σ is the sign of sign of the permutation of the even elements when the parts are arranged in increasing order...

Ngày tải lên: 08/08/2014, 01:20

... those of the native and recombinant wild-type forms of CgPAD. This result suggests that Met57 is one of the substrate-binding residues in the catalysis of CgPAD. In support of our view, one of ... (filled triangle) of the untreated enzyme as 100%. Figure 5 Gel-filtration chromatography of ultrafiltrate. One ml of the ultrafiltrate prepared from the cell-free extract...

Ngày tải lên: 20/06/2014, 21:20

... 2413. See the proofofClaim2.2(c). the electronic journal of combinatorics 13 (2006), #R31 10 [6] I. Le, Wilf classes of pairs of permutations of length 4, Electronic Journal of Combi- natorics ... journal of combinatorics 13 (2006), #R31 1 π are of form 1A except the one resulting from inserting n to the left of π 1 , which is of form 2A. Proof. Inserting n anywhere to t...

Ngày tải lên: 07/08/2014, 13:21

... G| = m. The number of ways of choosing at most k sets in G must be at least the number of subsets of [n], i.e.: k  i=0  m i  ≥ 2 n For fixed k, the number of subsets of [n] of size a t most k ... Alon, N., Frankl, P., The Maximum Number of Disjoint Pairs in a Family of Subsets, Graphs an d Combinatorics 1 (1985), pp. 13-2 1 [3] Erd˝os, P., On the number of comp...

Ngày tải lên: 07/08/2014, 21:21

... definition of the quantum yield as follows: # of emitted photons # of absorbed photons Φ ≡ , (3) the number of emitted photons indicates the multiplication of the quantum yield and the number of ... morphologies of HeLa cells cultured on a flat PDMS surface. Quantification of Aβ peptides via detection of FITC We investigated the applicability of our p-FET sensor t...

Ngày tải lên: 20/06/2014, 20:20