Báo cáo toán học: " On the Functional Equation P(f)=Q(g) in Complex Numbers Field" ppt

... Yang, On the Functional Equation P (f)=Q(g), In: Value Distribution Theory, Kluwer Academic Publishers, 2004, pp. 201 - 207. 2. C. C. Yang and P. Li, Some further results on the functional equation P ... m 1 ,m 2 ≥ 3. Remark. In the case n = m = 2, the equation P (f)=Q(g) has some non- constant meromorphic function solutions. Indeed, in this case we can rewrite the...

Ngày tải lên: 06/08/2014, 05:20

... we are interested in the following question: can we use the functions θ(G),r(G)andd(G )in( 1)insteadofr + (G)? In the common case the answer is negative. The proof is based on the following lemmas. Lemma ... Lov´asz function θ(G) [7], which has many alter- native definitions. One of them is based on the notion of the orthonormal labeling of the graph. Orthonormal labe...

Ngày tải lên: 07/08/2014, 08:20

... Eulerian orientations. Eulerian orientations are exactly the orientations which maximize the bino- Eulerian orienta- tions mial coefficients in equation (1). The lower bound in the next theorem is the best ... which belong to a 4-face in this hexagon. As these edges belong to a triangle in the hexagon on their other side, the cycle flips in any two filled hexagons can...

Ngày tải lên: 07/08/2014, 21:20

... prove the other cases of the theorem by induction on i. Assume that the theorem holds for i ≤ l, where l ≥ 1. Let i = l + 1. Then for j ≥ l + 1 use (2.7) for k ≥ 2 and the induction hypothesis ... in the first version of this paper in Spring 2005. Since then the conjectured were restated in [3, 4] and some progress was made toward validations of these conjectures. We now su...

Ngày tải lên: 07/08/2014, 21:20

... Classifications: 05A19; 05C05 60C05 Abstract By a theorem of Dobrow and Smythe, the depth of the kth no de in very simple families of increasing trees (which includes, among others, binary increasing ... ϕ. The following results are obtained as a consequence. For very simple families of increasing trees, these theorems occur in the aforementioned pap er by Dobrow and Smythe [7]. Ou...

Ngày tải lên: 08/08/2014, 12:22

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Ngày tải lên: 05/08/2014, 10:20

... Huong is the oscillation of solutions of the difference equation x n+1 − x n + p n x n−m =0,n∈ N in [1]; the positive periodic solutions of nonlinear delay functional difference equations x n+1 = a n x n ± ... and  m n i=1 α i =1 then Theorem 4 remains true. The following theorem gives a sufficient condition for the boundedness of every solution of (2.1). Theorem 5. Assume that...

Ngày tải lên: 06/08/2014, 05:20

... which employ the CSI to calculate the relay gains and blind relays with fixed relay gains [13]. In order to characterize the fading in the end-to-end link between the SMS and the DMS in a multihop ... levels r. Furthermore, the variance of the channel capacity decreases by increasing the number of hops, while increase in the severity of fading has an opposite in ue...

Ngày tải lên: 20/06/2014, 20:20

... Volterra equations in both convolution and non-convolution case. Strong interest in these kind of discrete equations is motivated as because they represent a discrete analogue of some integral equations. ... norm on R d . In recent years, there has been an increasing interest in the study of the asymptotic behavior of the solutions of both convolution and non-convolution-type...

Ngày tải lên: 20/06/2014, 20:20

... signal. It can be seen in the figure that (i) the onsets of the power pulses originate at the discontinuities in the second deri- vative of the modulating signal and (ii) the magnitudes of those ... look at the time domain signal t races for the setup shown in Figure 1. The modulating signal is shown in the lower panel, and the observed instantaneous power in...

Ngày tải lên: 20/06/2014, 21:20