Báo cáo toán học: "omputation of the vertex Folkman numbers F (2, 2, 2, 4; 6) and F (2, 3, 4; 6)" pdf

... ,a r )-free coloring of V (G), a contradiction. 3 Proof of Theorem D. According to the lemma, it follows from G → (2, 3, 4) that G → (2, 2, 2, 4). Therefore F (2, 2, 2, 4; 6) ≤ F( 2, 3, 4; 6) and ... [15]); F (3, 4; 5) = 13 [10]; F (2, 2, 4; 5) = 13 [11]; F (4, 4; 6) = 14 [14]. In this note we determine two additional numbers of...

Ngày tải lên: 07/08/2014, 06:23

... involved in the FE-SEM, EDX, and IMVS analyses of TiO2 films and TN- and ATN-doped TiO2 films. J-YP participated in the preparation of TN and ATN, and in the analyses of XRD and FE-SEM results. ... of TiO 2 film with different amounts of TN. Figure 5. Photocurrent-voltage characteristics of TiO 2 film with different amounts of ATN. Figure 6. Photocurr...

Ngày tải lên: 20/06/2014, 20:20

... are the uncoded 2DH 1 and encoded 2DM 1 EDR packets. 5.3. The mobility effects on the audio transmission performance This section is devoted for studying the effects of the mobility of the ... mobility. So, these results indicate the mobility effects on the different metric of the perfromance evaluation. The previous results reveal that it should be finding...

Ngày tải lên: 20/06/2014, 20:20

... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Refinements of the Heinz inequalities Journal of ... verify the inequality 1 4  f( a) + 2f  a + b 2  + f( b)  ≤ f( a) + f( b ) 2 . Next, we will prove the following inequality. 1 b − a  b a f( t)dt ≤ 1 4  f( a)...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... denote the number of such k-tableaux. It is well known that s k (λ)is the degree of a corresponding irreducible character of GL(k, C) (or of SL(k, C)). The numbers w(k, ; n) are given by Theorem ...  n Remark. 1!···(−1)! (k−)!···(k−1)! =  k!! !!(k−)!!  −1 ,wherem!! def =1!2!···(m −1)! Standard and Semistandard Tableaux. Let λ  n (i.e. λ is a partition of n). A tab...

Ngày tải lên: 07/08/2014, 06:22

... L of order p and any g ∈ G.LetRbe any set of representatives of the orbits of G in FDLS(p), and let S be a set of representatives of those orbits of size not divisible by p.Then fdels(p) − fdols(p)=  L∈FDLS(p) sgn(L), ... and columns are permu- tations of n symbols, say 0, 1, ,n−1. Rows and columns will also be indexed by 0, 1, ,n−1. The sign sgn(L)ofLis the pro...

Ngày tải lên: 07/08/2014, 06:22

... morphism of algebras by induction on the bidegrees of t and s. We will show that ϕ transforms the products t  λ s of B and t ∗ λ s of  B into the products ϕ(t)ϕ(s)ofA and ϕ(t) ∗ϕ(s )of  A,where  A ... s 2 ···s k−1 and start reading it from left to right. Using Table 3, the first time that one of the patterns listed in the left column of the table is fou...

Ngày tải lên: 07/08/2014, 13:21