Báo cáo toán học: "A point in many triangles" doc

... of points in the plane in general position there is a point lying in 2/9ofallthe triangles determined by these points. Introduction Every set P of n points in R d in general position determines  n d+1  d-simplices. ... concurrent lines that divide the plane into 6 parts each containing at least n/6 − 1 points in its interior. Denote by p the point of intersection of the thre...

Ngày tải lên: 07/08/2014, 13:21

... fixed points S by (a) choosing independently a type for each fixed point, (b) choosing any fixed -point free structure D on n−|S| labels for the rest of the structure and (c) replacing i by a i in ... two fixed points suffice, but r =2n requires at least three fixed points. Thus, the lack of further discontinuities in the graph of f(15,r) may, at first, seem counterintuitive. We discuss it in...

Ngày tải lên: 07/08/2014, 07:21

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

... |r d |  k/2, x ∈ [1, N] d } is contained in an interval of length k 2 N. Therefore fo r such r, vectors in the complex plane corresponding to elements of A in Fourier transform will not cancel each ... O(N − d (d+1)(2k−1) )  . Taking 2k − 1 th roots gives the result. the electronic journal of combinatorics 17 (2010), #R35 10 We can minimise t he error term by choosing u = v = N 1− d 2...

Ngày tải lên: 08/08/2014, 12:22

... F, min) is probabilistic strictly convex then its corresponding (X, {p λ }) is strictly convex. Proof. Putting t = 1 in Definition 7 we get A Fixed Point Theorem for Nonexpansive Mappings in Locally ... F, min) satisfy the following condition: For each fixed t ∈ R, the function F x (t):X → [0, 1] is weakly lower semi- continuous in x ∈ X. (3) A Fixed Point Theorem for Nonexpansive Map...

Ngày tải lên: 06/08/2014, 05:20

... subunit, affecting its trypsin digestion and cross-linking pattern. In addition, a change in the e conformation was previously seen, a gain by trypsin digestion and cross-linking, following dicyclohexylcarbodiimide ... described in [ 36] by rapidly injecting an acidified chromatophores suspension into a l uminometer cuvette containing a basic solution and monitoring the ATP concentration...

Ngày tải lên: 21/02/2014, 03:20

... Seed, Supporting inter-vehicular and vehicle-roadside communications over a cluster- based wireless ad-hoc routing algorithm, in Proceedings of the Winter International Symposium on Information ... that a clustering decision is made periodically every clustering interval (CI) period, and a clustering maintenance is performed in between CI. However, having cluster members make clustering d...

Ngày tải lên: 20/06/2014, 20:20

... line (i.e., line r) as sink. In Figure 6, where both the sink and the node E are located on the line s, node E in cell [2, 0] forwards the packet to the cell [4, 1] according to the rule in line ... condition in line 10 ensures that the packet does not go further on the border line when it reaches the turning point towards the sink. If the packet is still on the border line, I is in...

Ngày tải lên: 20/06/2014, 20:20

... in the exit problem all begin at the fixed point where the linear term in f dominates. Thus, λ −1 represents the stability of the stable fixed point. Conversely, we can think of λ as representing ... are interpreted as representing the initiation and termination of seizures. In this interpretation, then, the expected time until the transition from the basin of attraction of the fixed p...

Ngày tải lên: 20/06/2014, 20:20