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The visible perimeter of an arrangement of disks

Publications associées (39)

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An improvement on the number of simplices in F-q(d)

Van Thang Pham

Let epsilon be a set of points in F-q(d). Bennett et al. (2016) proved that if \epsilon\ >> [GRAHICS] then epsilon determines a positive proportion of all k-simplices. In this paper, we give an improvement of this result in the case when epsilon is the Car ...

Elsevier Science Bv2017

How many factors are there in vision?

Michael Herzog, Aline Françoise Cretenoud, Gregory Francis, Lukasz Grzeczkowski

Common factors are ubiquitous in cognition, audition, and somato-sensation. Surprisingly, there seems to be no common factor in vision, i.e., visual tasks correlate very weakly with each other. Here, we show that there are likely many very specific factors ...

2017

Bisector Energy and Few Distinct Distances

Frank de Zeeuw

We define the bisector energy E(P) of a set P in R-2 to be the number of quadruples (a, b, c, d) is an element of P-4 such that a, b determine the same perpendicular bisector as c, d. Equivalently, E(P) is the number of isosceles trapezoids determined by P ...

Springer2016

Measurement and characterization of room impulse responses

Thomas Batschelet

Room acoustics refers to the audio capture of an enclosed room. It can be seen as its color and fully describes the characteristics of the room, including the shape, size or the population. The goal of the project is to set up a database of Room impulse re ...

2016

An Improved Upper Bound for the ErdAs-Szekeres Conjecture

Let ES(n) denote the minimum natural number such that every set of ES(n) points in general position in the plane contains n points in convex position. In 1935, ErdAs and Szekeres proved that ES. In 1961, they obtained the lower bound , which they conjectur ...

Springer2016

Search for the decay B-0 -> phi gamma

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Ho Ling Li, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We have searched for the decay B-0 -> phi gamma sing the full Belle data set of 772 x 10(6) B (B) over bar pairs collected at the gamma(4S) resonance with the Belle detector at the KEKB e(+)e(-) collider. No signal is observed, and we set an upper limit on ...

Amer Physical Soc2016

Method for assessing the quality of various cells including induced pluripotent stem cells

Didier Trono, Marc Samuel Friedli

The present invention relates to a method for assessing the quality, utility and applicability of a cell according to the said method comprising the following steps: a) analyzing the expression of the TEs of said cell in order to set up an expression profi ...

2016

Remarks on Schur's conjecture

János Pach, Filip Moric

Let P be a set of n > d points in for d >= 2. It was conjectured by Zvi Schur that the maximum number of (d-1)-dimensional regular simplices of edge length diam(P), whose every vertex belongs to P, is n. We prove this statement under the condition that any ...

Elsevier Science Bv2015

A note on coloring line arrangements

János Pach, Rom Pinchasi

We show that the lines of every arrangement of n lines in the plane can be colored with O(root n/log n) colors such that no face of the arrangement is monochromatic. This improves a bound of Bose et al. by a circle minus(root/log n) factor. Any further imp ...

Electronic Journal Of Combinatorics2014

Tolerating permanent and transient value faults

André Schiper, Martin Hutle, Zarko Milosevic

Transmission faults allow us to reason about permanent and transient value faults in a uniform way. However, all existing solutions to consensus in this model are either in the synchronous system, or require strong conditions for termination, that exclude ...

Springer Verlag2014