Báo cáo toán học: "Trees and Meta-Fibonacci Sequences" pdf

... m, Λ 1 (p) = 1 if and only if Λ(p − j) = 0 and Λ(p − s − A(p − j)) = 1, and Λ 2 (p) = 1 if and only if Λ(p − 2j) = 0 and Λ(p − s − j − A(p − 2j)) = 1. Equivalently, Λ 1 (p) = 0 if and only if Λ(p−j) ... 2007. [17] F. Ruskey, S. Chandran, A. Das, and B. Jackson, Isoperimetric sequences for infinite complete binary trees and their relation to meta-Fibonacci sequences and sign...

Ngày tải lên: 08/08/2014, 01:20

... common prefix of ϕ (x )and (y) has the same length as the maximal common prefix of x and y. In particular, the vertices x and y are adjacent (have distance 1) if and only if k = l +1andy = x 0,i 1 , ... |z| where z is the maximal common prefix of x and y. With this distance, we find that two vertices x and y are connected by an edge if and only if d Γ (x, y) = 1, and in this case, w...

Ngày tải lên: 07/08/2014, 08:22

... combinatorics 17 (2010), #R117 9 [4] A. Brandt, A generalization of a combinatoria l theorem of Sparre Andersen about sums of random variables, Math. Scand. 9 (1961), 352-358. [5] D. Callan, Pair ... #R117 11 (1) What are necessary and sufficient conditions for M(r) = [n] and P(r) = [n] if s > 0? (2) What are necessary and sufficient conditions for M(r) = [n] − 1 and P(r) = [n] − 1...

Ngày tải lên: 08/08/2014, 12:22

... supported, and it is 21 We have a few assumptions on f(u, x) and w(x). There are four assumptions F1, F2, F3, F4 on f, and two W1, W2 on w. As one can find out soon, they are general enough, and have ... right-continuous, and thus, is continuous. By (11) and (14), we have ηk ≤ f u (0, x) ≤ k, and so −(1 −η) k ≤ f u (0, x) −k ≤ 0 for every 10 Figure 1: Infinite beam on nonlinear a...

Ngày tải lên: 20/06/2014, 20:20

... Remark 2, the lower solution α and the upper solution β satisfy, respectively, inequalities (7) and (8) and, conversely, if α and β satisfy (7) and (8) then they are lower and upper solutions in the ... ∈ I − and β  (t) = m ≥ max y ≤max I β(t) f(y) for all t ∈ I 0 . (25) So we deduce from (24) and (25) that α and β are lower and upper solutions for problem (13).  16 Rub´...

Ngày tải lên: 20/06/2014, 20:20

... subbands of uniform bandwidth by two level wavelet packet transform. Then, the prediction coefficients were estimated from the subbands of uniform decomposition similar to first type and were ... considered the 21 coefficients in LPCC and MFCC feature vectors (7 LPC/MFCC coefficients and their first and second derivatives). The performances of LPCC, MFCC, and WLPC (UWLPC/ DWLP...

Ngày tải lên: 20/06/2014, 20:20

... signal x with a random waveform and randomly under-sample the result in time-domain. The random convolution is performed through a random pre-modulation in the Fourier domain and the signal thus ... value. 16 Universal and efficient compressed sensing by spread spec- trum and application to realistic Fourier imaging techniques Gilles Puy ∗1,2 , Pierre Vandergheynst 1 , R´emi Gribonval 3...

Ngày tải lên: 20/06/2014, 20:20

... with diluted hydrochloric acid (1:3), and the precipitate was filtered and recrystallized from DMF and water. A mixture of the acids 3a–k and 4a–c (1 mmol), and phosphorus oxychloride (5 mL) was ... precipitated was filtered, dried, and recrystallized from a mixture of ethanol and water. The compounds obtained 5a–k and 6a–c were reacted with 10 mL NaOH (20%) and 10 mL o...

Ngày tải lên: 20/06/2014, 20:20

... designed and carried out the experiments and wrote the first draft of the manuscript. JHA analyzed the properties and helped draft the manuscript. KNH and KSH detailed the original idea and modified ... non-toxic and environmentally safe handling as well as its ability to provide better lattice matching to CIGS absorbers hav ing energy band gaps in the range of 1.3 to 1.5 eV compa...

Ngày tải lên: 20/06/2014, 21:20

... study and participated in its design and coordination. CY participated in the revision of the manuscript. LPS and YW participated in the preparation of the TiO 2 /ZrO 2 bilayer thin film. JQZ and ... 22(4):1342. 19. Zhao X, Vanderbilt D: Structural and dielectric properties of amorphous ZrO 2 and HfO 2 . Phys Rev B 2006, 74:12108. 20. Wong H, Iwai H: On the scaling issues and hi...

Ngày tải lên: 20/06/2014, 21:20