Papers 2,747
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#1Narissara Khaochim (A&M: Texas A&M University)H-Index: 2
#2Riad Masri (A&M: Texas A&M University)H-Index: 9
Last. Wei-Lun Tsai (UVA: University of Virginia)H-Index: 2
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#1Francesco Amoroso (UNICAEN: University of Caen Lower Normandy)H-Index: 12
#2David Masser (University of Basel)H-Index: 25
Last. Umberto ZannierH-Index: 26
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#1Jean-François Marckert (University of Bordeaux)H-Index: 14
#2Saïd Rahmani (University of Bordeaux)
Pick npoints Z_0,...,Z_{n-1}uniformly and independently at random in a compact convex set Hwith non empty interior of the plane, and let Q^n_Hbe the probability that the Z_is are the vertices of a convex polygon. Blaschke 1917 \cite{Bla} proved that Q^4_T\leq Q^4_H\leq Q^4_D where Dis a disk and Ta triangle. In the present paper we prove Q^5_T\leq Q^5_H\leq Q^5_D One of the main ingredients of our approach is a new formula for Q^n_Hof independent interest.\par null ...
#1B. Malcolm Brown (Cardiff University)H-Index: 5
#2Karl Michael Schmidt (Cardiff University)H-Index: 15
Last. Ian Wood (UKC: University of Kent)H-Index: 10
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#1Rui Han (LSU: Louisiana State University)H-Index: 8
#2Michael T. Lacey (Georgia Institute of Technology)H-Index: 33
Last. Fan Yang (Georgia Institute of Technology)H-Index: 5
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We prove a Roth type theorem for polynomial corners in the finite field setting. Let \phi_1and \phi_2be two polynomials of distinct degree. For sufficiently large primes p any subset A \subset \mathbb F_p \times \mathbb F_pwith \lvert A\rvert > p ^{2 - \frac1{16}} contains three points (x_1, x_2) , (x_1 + \phi_1 (y), x_2), (x_1, x_2 + \phi_2 (y)) The study of these questions on \mathbb F_pwas started by Bourgain and Chang. Our Theorem adapts the argument of Dong, Li and ...
#1Christos A. Athanasiadis (UoA: National and Kapodistrian University of Athens)H-Index: 22
#2Eleni Tzanaki (UoC: University of Crete)H-Index: 8
Polynomials which afford nonnegative, real-rooted symmetric decompositions have been investigated recently in algebraic, enumerative and geometric combinatorics. Branden and Solus have given sufficient conditions under which the image of a polynomial under a certain operator associated to barycentric subdivision has such a decomposition. This paper gives a new proof of their result which generalizes to subdivision operators in the setting of uniform triangulations of simplicial complexes, introd...
Eines der ersten Themen in der Klasse 8 sind die linearen Funktionen. Um den Schulerinnen und Schulern gleich ein anschauliches Beispiel zu prasentieren, messen sie die Auslenkung einer Feder.
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Die Frage „Burger! Hack oder Veggi?“ bildet den Ausgangpunkt fur facherubergreifendes Unterrichtsprojekt, in welchem sich die Lernenden als Konsumenten mit Themen der globalisierten Welt beschaftigen.
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