Báo cáo toán học: "Extremal subsets of {1, , n} avoiding solutions to linear equations in three variables" doc

... results to provide examples, and in some cases precise clas- sifications, of extremal subsets of { 1, , n} containing no solutions to a wide class of non-invariant, homogeneous linear equations in three ... electronic journal of combinatorics 14 (2007 ), #R74 17 Extremal subsets of { 1, , n} avoiding solutions to linear equations...

Ngày tải lên: 07/08/2014, 15:23

... sufficiently large, and S is a k-sum-free subset of { 1, 2, ,n} of size f(n, k ), then S is the union of three strings of consecutive integers. Such a set has an analogue k-sum-free subset of ( 0, 1] of the ... k-sum-free subset of { 1, 2, ,n} one takes the integers within the three intervals ob- tained by multiplying each real number in S 3 ( 3, 1...

Ngày tải lên: 07/08/2014, 06:20

... enough to show that the 3-decks of A∩ 1 in  and B ∩ 1 in , restricted to multisets of form {0,k,α }, are equal. Now if a + {0,k,α}⊂A then a ∈ X A ,andso a + {0,k,α}⊂A ∩ 1 in  ⇐⇒ a + α ∈ 1 in  ⇐⇒ ... 3-deck, d A,3 : indeed, let n =diamA := max A − min A;then A {0 ,n} {r : d A,3 ({0,r ,n}) > 0}. The 2-deck is not, however, in general enough. For instance, if A and...

Ngày tải lên: 07/08/2014, 06:20

... reducing the zero-point energy of the oscillators. An increase in the number of Mn atoms in the lattice seems to lead to an increase in the effective mass of the bound trap complex, and thus to ... Institute, University of Ulsan, Ulsan, 680-74 9, South Korea 2 Department of Physics, University of Ulsan, Ulsan, 680-74 9, South Korea 3 Department of Semicondu...

Ngày tải lên: 20/06/2014, 20:20

... joined to u in P . Assume, for a co ntradiction, that θ is a root of µ(G, x) and µ(H, x). By Theorem 1. 2, mult( , G) = 1 = mult( , H). This implies that u is θ-neutral in G. By induction, µ(H, ... and µ(H, x ), respectively. Then (a) µ(G ∪ H, x) = µ(G, x)µ(H, x ), (b) µ(G, x) = µ(G − e, x) − µ(G \ uv, x) where e = {u, v} is an edge of G, (c) µ(G, x) = xµ(G \ u, x) −...

Ngày tải lên: 08/08/2014, 12:23

... charge- relay system of carboxypeptidase Y. Protein Sci. 4, 2433–2435. 4. Liao,D I.,Breddam,K.,Sweet,R.M.,Bullock,T.&Remington, S.J. (1992) Refined atomic model of wheat serine carboxy- peptidase ... having a reactive serine residue. J. Biochem. (Tokyo) 7 7, 1313–1318. 3. Jung, G ., Ueno, H ., Hayashi, R. & Liao, T H. (1995) Identifi- cation of the catalytic histidine...

Ngày tải lên: 08/03/2014, 23:20

... generalization of the Hyers’ theorem for additive mappings, and in 197 8, Th.M. Rassias [4] succeeded in extending the result of H yers for linear mappings by allowing the Cauchy difference to be unbounded ... min{N  (5δz 0 , t ), N  (5δz 0 , s) } (2:6) for all x, y Î X and positive real numbers t, s. Letting x =0(y = 0) in (2.6 ), we get N  2f  y 2  − g(0)...

Ngày tải lên: 20/06/2014, 22:20

... the possibility of hybridization between spe- cies (Schwarz, 1936; Cousens, 1965; Rushton, 197 4, 197 8, 1983; Olsson, 1975; Wigston, 1975; Dupouey, 1983; Aas, 198 8, 1990; letswaart ... defined according to Rushton (1983 ), who gave a detailed description. The auricle development and basal shape of lamina were scored according to an in...

Ngày tải lên: 08/08/2014, 19:21

... following result : If |F i | = 1, then i = 6, 7, 2 2, 2 3, 4 6, 4 7, 4 9, 5 1, 5 4, 5 5, 5 7, 5 9, 6 1, 7 0, 7 1, 7 3, 7 5, 7 7, 8 6, 8 7, 89 the electronic journal of combinatorics 12 (2005 ), #R19 12 If |F i | =1 1, ... if i = 9, 1 1, 1 3, 2 5, 2 7, {J 8 (s  ),J 9 (s  )} if i =4 8, 5 0, 5 6, 5...

Ngày tải lên: 07/08/2014, 08:22

... added to an aqueous solution (80 mL) containing 0.1 M of Na 2 MoO 4 ·2H 2 O. This resulting solution was transferred into a Teflon-lined stainless steel autoclave, sealed, and maintained at ... F, Aymard L, Dupont L, Tarascon JM: Effect of mechanical grinding on the lithium intercalation process in graphites and soft carbons. J Electrochem Soc 199 6, 143:3959. 2. Disma F, Lenai...

Ngày tải lên: 20/06/2014, 21:20