Mathematika
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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 ...
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#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 ...
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#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...
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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.
„L’Arc de Triomphe empaque“ – so der Titel fur die letzte Aktion von Christo mit seiner Frau Jeanne-Claude, welche im Herbst 2021 in Paris verwirklicht wird.
Mit dem Thema „Umfang, Flacheninhalte und Rauminhalte“ wird der Mathe-Unterricht angebunden an eine Reise um die Welt, in der untersucht wird, wie Tiere und Menschen in verschiedenen Klimazonen leben.
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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