Báo cáo toán học: "Some cyclic solutions to the three table Oberwolfach problem" pptx

... 11) 25 To conclude, we collect together the old and new results on cyclic solutions to OP(r, r, s) for small values of r. Theorem 3.4 Except for the insoluble case OP(3, 3, 5), there is a cyclic ... range 4 ≤ r ≤ 8. Table 2 of [12] gives cyclic solutions for all s in the range 5 ≤ s ≤ N r ,whereN r is taken from Table 1. For r in the range 9 ≤ r ≤ 13, Table 2 of [1...

Ngày tải lên: 07/08/2014, 13:21

... its vectors of the (n - 1)-column (also marked as <n - 1>) is equal to the derivative with respect to the half-edge r of the following vector (<n>) and in the order according to Figure ... or surface, then the cube surface and volume, where there exists only the variable the half-edge r (Figure 1). Having in mind the characteristic that the derivatives wit...

Ngày tải lên: 20/06/2014, 21:20

... medium, provided the original work is properly cited. By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the exis- tence of multiple solutions to the three- point ... thatintheformercaseoneisabletoobtainthe solutions depend only on the initial values, while in the latter case, the boundary conditions at the starting point do not deter...

Ngày tải lên: 21/06/2014, 05:20

... QI M [X n ]. The only missing ingredient is given by the following the electr onic jou rnal of combinatorics 12 (2005), #R20 12 To prove sufficiency, note that the formulas in (3.7) together with the conditions ... S λ is the Schur function corresponding to λ, ST(λ) denotes the collection of stan- dard tableaux of shape λ, co(T ) denotes the cocharge of T and c λ gives the...

Ngày tải lên: 07/08/2014, 08:22

... calculation approach to evaluating the coefficients in the Dyson product, and illustrate this approach through the case of M = x 2 r /x 2 s . The applications of our method to other cases like M = x 2 r x s x t , ... explicitly, we will show that our approach leads to the following theorem. Theorem 1.2 (Theorem 1.2 [7]). Let r and s be distinct integers with 1  r, s  n. The...

Ngày tải lên: 08/08/2014, 11:20

... the lines of the previous section, re- lating the counting of maxima to the length of the longest alternating subsequence and then, through mixing and ergodicity, obtain results on the asymptotic ... . Now, the only difficulty in adapting the proof of Theorem 2.2 t o our current framework is when moving in the direction o f the gradient when trying to modify the altern...

Ngày tải lên: 08/08/2014, 12:23

... mapping which is asympto tically nonexpan- sive in the intermediate sense but not asymptotically nonexpansive. Example 3.1 Let Δ be the Cantor ternary set. Define the Cantor ternary function τ ... In the end, to illustrate our theorem, we give a nonself mapping which is asymptotically nonexpansive in the intermediate sense but not asymptotical ly nonexpansive. Zhu et al. Fixed Poi...

Ngày tải lên: 20/06/2014, 21:20

... limited the estimation interval to [2, 6] because of the observed stabilization of the MS errors for t ≥ 4. Apart from the better perfor- mance of the WL estimator with respect to the SL esti- mator ... extension of the previous problem to the caseinwhichtheadditivenoiseismadeupofthesum of a colored component plus a white one. The handi- caps of both solutions are: i...

Ngày tải lên: 20/06/2014, 22:20

... boxes in the first row is equal to the size of the first part, the number of boxes in the second row is equal to the size of the second part, etc. For example, the Ferrers diagram for the partition ... q-analogues of those theorems. To the best of our knowledge, there exist no combinatorial proofs of q-analogues for powers greater than three. the electronic journal...

Ngày tải lên: 07/08/2014, 08:20

... ord among themselves. The goal of this section is to show that some generating functions related to G(w) also have their matrix entries in L. These results are used in [3] to show the a lgebraicity (under ... and the electronic journal of combinatorics 18 (2011), #P5 9 Let the entries in the first column of the 4 by 4 matrix G = G( w) be a, b, c and d. Examining the en trie...

Ngày tải lên: 08/08/2014, 12:23