Báo cáo toán học: "On the twin designs with the Ionin–type parameters" doc

... covering designs. Covering designs with the 2-overlap property were first introduced in statistical designs by [10] and are also mentioned in [2], [6] and [11]. Covering designs with the 1-intersection ... of B).WecallsuchapairofedgesD π -bad if they both appear in the same member of D π .Weshall the electronic journal of combinatorics 4 (1997), #R10 2 is the greatest comm...

Ngày tải lên: 07/08/2014, 06:20

... of ∆ − ℓI and A, then the terms appearing in both expansions, regardless their signs, are the same. To prove the claim, we determine the sign of each term in both expansions. In the expansion of ... if  n i=0 (−1) i a i λ n−i and  n i=0 (−1) i b i λ n−i are the characteristic polynomials of the signless Laplacian and the Laplacian matrices of G, r espectively, then a i  b i...

Ngày tải lên: 08/08/2014, 12:22

... (¯x, ¯y). Thus, the proof of the theorem is complete.  Theorem 3.7. Let D, K, S, T, C i ,Y i ,i =1, 2 be as the same in Theorem 3.6. Then System (B) has a solution provided that the following ... S(¯x, ¯y). In [7] the author gave some existence theorems on the above problems and their systems. But, he presented some rather strong conditions. For example: The polar cone C  of...

Ngày tải lên: 06/08/2014, 05:20

... (X n (ω)) a.s. in E. Then by the Krein-Smulian theorem and the first conclusion of the lemma, it follows that there exists a subset Ω 0 of Ω with P(Ω 0 ) = 1 satisfying a) the closed cirled convex ... that by the Mackey theorem ([12, IV. 3. 3, p. 132]), the closed convex subsets of E ∗ are the same for the weak-star topology σ(E ∗ , E)and for the Mackey topology τ(E ∗ , E)o...

Ngày tải lên: 06/08/2014, 05:20

... sets F ∈ F that contain both the heavy vertices. Proof of Theorem 1.3. We observe that Theorem 3.2 together with Theorem 1.2 yields Theorem 1.3 (i). For the rest of the proof, we assume that λ ... will use Theorem 1.2 to prove Theorem 1.3 in Section 3. Proof of Theorem 1.2. When λ = 1, the proof of Theorem 1.2 is trivial because |∂ 2 F| equals the left hand side of (1.1). We there...

Ngày tải lên: 08/08/2014, 14:22

... 1  (π)−1  i=1  e j ⊂S i t e j . Proof. The set S 0 and the term (q − p) |S 0 | corresponds to picking a subset of vertices, and coloring them with the non-primary colors. The rest of the set composition and the term  p (π)−1  comes ... once with the appropriate weight. If a coloring f has any primary edges, then f(n) ∈ [p]. Let S be the color class of the vertex n...

Ngày tải lên: 08/08/2014, 14:23

... right with the integers from 0 to n − des X,Y (σ) and then label the remaining po sitions from right to left with the integers from n − des X,Y (σ) + 1 to n. If n + 1 ∈ X, then we label the positions ... then we first label positions which are between an X, Y -descent from left to right with the integers from 0 to des X,Y (σ) − 1 and then label the remaining positions from ri...

Ngày tải lên: 08/08/2014, 01:20

... note that there is a similarity between the way that we get twin designs from Bush–type Hadamard matrices and the way that the twin designs with the Ionin–type parameters are obtained from the weighing ... M is the matrix of lemma 3, obtained from H by replacing all the diagonal blocks with the zero matrix. On the twin designs with the Ionin–type para...

Ngày tải lên: 07/08/2014, 06:20

... [20]. The temporal behavior of the instantaneous channel capacity can be studied with the help of the LCR and ADF of the channel capacity. The LCR of the instantaneous channel capacity describes the ... that increasing the relay gains increases the received SNR at the DMS, however the received SNR at the DMS is always less than or equal to the SNR at the first m...

Ngày tải lên: 20/06/2014, 20:20

... section is to establish the following result with the proof. Theorem 3.1. Let (A) and (B) be satisfied and assume that the initial vector x 0 belongs to the set S. Then the solution x(n; x 0 ), ... 6.5 below. To the best of our knowledge, this is the first article dealing with the boundedness property of the solutions of a linear inhomogeneous Volterra difference system wi...

Ngày tải lên: 20/06/2014, 20:20