Báo cáo toán học: " For each α 2 there is an infinite binary word with critical exponent α" docx

... Krieger and Shallit by showing that for each α > 2 there is an infinite binary word with critical exponent α. Keywords: Combinatorics on words, repetitions, critical exponent 1 Introduction If α is ... numbers α in the interval (2, 7/3]. In this note we resolve the question completely by demonstrating that for every real number α > 2, there...

Ngày tải lên: 07/08/2014, 15:22

... nk 2 (m)) + i− k 2 −1  j=1 j (2 + 2 2 + · · · + 2 m+1 )2 m+1 = S B (k, nk 2 (m)) + (2i − k − 2) (2i − k)4 m + o(4 m ) =  3k 2 − 10 3 k + (2i − k − 2) (2i − k)  4 m + o(4 m ). By Proposition 2. 4 ... k2 j by 2 j ⊗ {1, 2, . . . , k}. Below are the first three blocks of the sequence A: 1|1 |2| 2|. . .|k|k    1|1|1|1 |2| 2 |2| 2|. . .|k|k|k|k    1|1|1|1|1|1|1|1 |2| 2...

Ngày tải lên: 07/08/2014, 15:23

... additional vertices is less than  (1 − γ 2 /n 2 ) βn  ((µ−1)k + /2) 2 ≤ exp  − γ 2 n 2 βn  µ − 1 2 n 2/ 3   2  ≤ exp  − µ(µ − 1) 2 4 O(n 1/3 )  = o(1/n 2 ). That is, with probability ... 1)(n − 2) [1 − 2( 1 − p 2 ) m + (1 − p 2 (2 − p)) m ], and with n  and n  as in the lemma we can deduce E[D(n  , n  , γ/n)] = µ + o(1) = O(1), where µ :=...

Ngày tải lên: 07/08/2014, 15:23

... l.bazzichi@int.med.unipi.it Received: 20 Apr 20 04 Revisions requested: 24 Jun 20 04 Revisions received: 22 Oct 20 04 Accepted: 26 Oct 20 04 Published: 10 Dec 20 04 Arthritis Res Ther 20 04, 7:R189-R195 (DOI 10.1186/ar1468) http://arthr ... A dis- ease severity scale for systemic sclerosis: development and testing. J Rheumatol 1999, 26 :21 59 -21 67. 20 . Boyum A: Isolation of m...

Ngày tải lên: 09/08/2014, 06:22

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Ngày tải lên: 05/08/2014, 15:20

... 7 729 23649 1615303 3 727 43 628 159 9618478 − 9164 122 = 9164 122 − 8709766 19 829 23 3931985606853 122 491576 − 121 56 920 2 = 648 529 0 − 55 629 16 19 829 23 49771969707 122 491576 − 121 56 920 2 = 648 529 0 − 55 629 16 Table ... − 29 = 613 523 − 1 22 99 52 498 427 3 9 − 2= 8− 1 318089 14454418573 20 94691 − 1306617 = 10363 02 − 24 822 8 636479 9 421 073347 166476 − 23 = 166454 − 1...

Ngày tải lên: 07/08/2014, 06:20

... G 1 =(V 1 ,E 1 )andG 2 =(V 2 ,E 2 ) is the graph with vertex set V 1 ∩ V 2 (V 1 ∪ V 2 )andedgesetE 1 ∩ E 2 (E 1 ∪ E 2 ). If C 1 and C 2 are cycles of a plane graph G,wesaythatC 1 is within (surrounds) C 2 if ... Properties 1, 2 and 4 hold for C 1 , C 2 , C 3 and e.By planarity and Property 2 we have C 1 ∩ C 3 ⊂ C 2 , hence C 1 ∩ C 3 =(C 1 ∩ C 2 ) ∩ (C 2 ∩...

Ngày tải lên: 07/08/2014, 06:20

... triangle need not exist). If x 2 = y then there is a K 3 -path joining x and y, a contradiction. If x 2 = y then x 2 is incident with the edge of E 1 , otherwise there exists a (K 1 ,2 ,K 3 )-decomposition, ... papers dealing with the problem of determining the set R(F, H). For example, Burr, Erd˝os and Lov´asz [1] proved that R(2K 2 , 2K 2 )={3K 2 ,C 5 } and R(K 1...

Ngày tải lên: 07/08/2014, 08:22

... Accepted: Jul 12, 20 06; Published: Jul 28 , 20 06 Mathematics Subject Classification: 51E 22 Abstract A line in (Z/nZ) 2 is any translate of a cyclic subgroup of order n. A subset X ⊂ (Z/nZ) 2 is a cap ... bx  2 = g. It therefore follows that the matrix  x  1 −b x  2 a  is in GL 2 (Z/nZ), and the corresponding automorphism of (Z/nZ) 2 takes (n/d, 0) to x. With the...

Ngày tải lên: 07/08/2014, 13:21

... ax 2 a 2 xy + ax 2 a 2 y + ax 4 + a 2 xa 2 y + x 3 y + a 2 y + axa 2 + a 2 xa 2 x + a 2 + axa 2 x 2 y + xa 2 xay + a + x 2 ay + axa 2 xa 2 y + a 2 x 3 + xy + ax 3 a 2 y + a 2 x 2 + y by a 2 y and ... + axaza 2 + a 2 za 2 + a 2 xa 2 + xz+ axa 2 z + axa + a 2 xa + aza + aza 2 w + a 2 xzaw + axa 2 zw+ axaza 2 w + a 2 x + axw + x...

Ngày tải lên: 07/08/2014, 13:21