Báo cáo toán học: "Sets in the Plane with Many Concyclic Subsets" pps

... round 20-set in a set with R(20, 10) having 374 points, in a set with R(13, 6) having 766 points and in a set with R(13, 7) having 330 points. These results are poor compared with the cardinalities ... of points in the Euclidean plane contains a concyclic 4-subset, then all points of V with the exception of at most two are on a circle. The same then must hold if...

Ngày tải lên: 07/08/2014, 13:21

... hypergraph obtained from H  2,4 by including the vertices {7, ,t+2} and placing them in region ∗. Also include the C-edges {367, 368, ,36(t+ 2)}. If we have a 2-coloring on H  2,4 , then this only ... this only extends to a 2-coloring of the larger graph, whereas from the 4-coloring we obtain all other values in the spectrum. It remains to prove the necessity of the condit...

Ngày tải lên: 07/08/2014, 06:22

... of factors including an increase in the coating diameter upon addition of the PEG moiety [33], thus increasing the stability of the nanoparticles and further shielding the cells from the iron ... centrifugation (removing cellular debris) could eliminate the interference in reading from the nanostructure. With these additional steps, the interference was reduced, but...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 05/08/2014, 09:46

... one with the short edge of the β angle on the extended edge containing the split, as in Figure 25a; for if it is located as in Figure 25b,c, then there is, as shown, another split of the required ... greater than the number of β angles. Thus none of these triangles (including those with c  =8, 12) tile using (0, 4, 3) as the sole β source. The only remaining possibili...

Ngày tải lên: 07/08/2014, 13:21

... tile the sphere. Figure 18: The tiling fails to close up. The configuration at the poles is illustrated in Fig. 18. However, 28γ = 1080 ◦ ;soif we continue the tiling around the poles beyond the ... and 8 provide the remaining two β angles at O; by Lemma 2, they must either be as in Figure 11a or b. In the first case triangle 9 is forced; there is an overhang at E, requi...

Ngày tải lên: 07/08/2014, 13:21

... t]. Let C i be the set of edges of H with one endpoint in V i and the other in K (i ∈ [1, q + t]). Finally, let E(K) denote the set of edges in F with both end-points in K. Using the assumption ... multigraphs with χ  > (13∆ + 10)/12; the latter is based on the Tashkinov’s result from [15]. The GS-conjecture motivates the study of the multigraphs with Γ &...

Ngày tải lên: 07/08/2014, 15:22

... reflection, then, there are nine distinct continuous families of tilings (with some special cases in common). There are also two distinct tilings without a great circle in the union of the tile ... continuous families of tilings, not necessarily distinct. There are also other tilings, including some with no great circle in the union of the boundaries. We conjecture that any ti...

Ngày tải lên: 07/08/2014, 15:22

Ngày tải lên: 05/08/2014, 15:20