Báo cáo toán học: "Unbounded regions of Infinitely Logconcave Sequences" docx

... region. the electronic journal of combinatorics 14 (2007), #R72 3 Unbounded regions of Infinitely Logconcave Sequences David Uminsky and Karen Yeats ∗ Department of Mathematics and Statistics Boston ... The values of a i may then be determined for each face by solving the systems of equations arising from matching the coefficients of the leading terms in L(s) with the coefficient...

Ngày tải lên: 07/08/2014, 15:23

... The set of partial latin squares of order n is denoted by PLS(n), and the set of latin squares of order n by LS(n). We say that P 1 ∈ PLS(n) contains P 2 ∈ PLS(n) if every filled cell of P 2 agrees ... Cayley table of G is invariant with the enumeration chosen for G, so to complete the proof of the theorem it suffices to exhibit a 2-partition of L. We do this by first arguing that...

Ngày tải lên: 07/08/2014, 06:23

... prefix of A n+1 by induction. Certainly A 0 is a prefix of A 1 . Assume that A n−1 is a prefix of A n . Since A n = 0 r−2 C n and A n+1 = 0 r−2 C n+1 , A n is a prefix of A n+1 if C n is a prefix of ... C n is a prefix of C n+1 if B n−1 is a prefix of B n . By Lemma 1, B n−1 is a prefix of B n if A n−1 is a prefix of A n , which is our inductive assumption. We conclude that A n is a...

Ngày tải lên: 07/08/2014, 13:21

... colouring of U can be extended to a U-proper (L, 2) ∗ -colouring of G 1 , and that the resulting colouring of X can be extended to an X-pro per (L, 2) ∗ -colouring of G 2 , and the union of these ... G such that one endvertex of P is an internal vertex of P ab , the other endvertex is a vertex of H ′ that is not in P ab , and no other vertex of P i s in H ′ . Proof. If there...

Ngày tải lên: 08/08/2014, 01:20

... the proof of the above case 5 since f (S) = |A|  |G| − 9  4 × 6 − 9. The case that n = 5 follows from Theorem 1.1 since f (S)  3 × 5 − 4 = 11 = 4 × 5 − 9. ✷ Proof of Theorem 1.3: Proof. If ... will be used in the proof of the main Theorems. The proofs of Theorems 1.1 to 1.3 are given in Section 4. In section 5 we will prove Theorem 1.4 and give some applications of Theorems 1.1 a...

Ngày tải lên: 08/08/2014, 01:20

... hard as the proof of Theorem 1.2.) For although every element C of C(G) is a sum of a thin family of circuits (even of finite circuits, see [7, Corollary 8.5.9]), representations of all the circles ... of cycles (drawn thick), whose limit X is not a circle (but the edge-disjoint union of two circles). Lemma 4.7. The limit of a chain of cycles is a continuous image of S 1...

Ngày tải lên: 08/08/2014, 01:20

... efficients of F are negligible compared to those of A because of Comment 2 above. We will use these ideas without explicit mention when considering error bounds. 4 Proof of Theorem 1 The value of A g (r) ... pieces) and the genus of G is the sum of the genera of all blocks [2]. We divide all connected graphs of genus g > 0 into two classes according to whether there is a bl...

Ngày tải lên: 08/08/2014, 12:23

... The calculation of the contents of the Al 2 O 3 in the composite thick films: (a) the Hashin-Shtrikman bounds of contents of Al 2 O 3 in composite thick films as a function of measured relative ... dielectric properties of the films. Figure 1 shows the XRD patterns of deposited films with different mixing ratios of the Al 2 O 3 starting powder. The α-Al 2 O 3 phase o...

Ngày tải lên: 20/06/2014, 20:20

... and size of the areas, the configuration of the RSUs and ARs, etc. 9 coverage of the RSUs deployed on the roadside. One of the main challenges that VANETs pose is the minimum degree of technology ... length of a multi-hop connected chain of n + 1 vehicles (Y ) can be represented as the sum of n inde- pendent exponential truncated variables. The PDF of Y can be obtained by the...

Ngày tải lên: 20/06/2014, 20:20

... age of 74 years (SD = 15.0). A study of the TOAST classification of the type of strokes revealed an unusually high number of cardio-embolic strokes in our cohort (50.3%). The median number of ... dBP cutoff of 70 mmHg. Sixty-five percent of the cohort had dBP<70 mmHg sometime during the stay in ED. When this group was compared to those with dBP>70 mmHg, there The i...

Ngày tải lên: 20/06/2014, 20:20