Báo cáo toán học: "Sets in the Plane with Many Concyclic Subsets" pps
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...
Báo cáo toán học: "Gaps in the chromatic spectrum of face-constrained plane graphs" pot
... 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...
Báo cáo toán học: " Dilemmas in the reliable estimation of the in-vitro cell viability in magnetic nanoparticle engineering: which tests and what protocols?" doc
... 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...
Báo cáo toán học: "Tilings of the sphere with right triangles I: The asymptotically right families" ppsx
... 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...
Báo cáo toán học: "Tilings of the sphere with right triangles II: The (1, 3, 2), (0, 2, n) subfamily" ppt
... 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...
Báo cáo toán học: "Clusters in a multigraph with elevated density" potx
... 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 &...
Báo cáo toán học: "Tilings of the sphere with right triangles III: the asymptotically obtuse families" ppsx
... 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...
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