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Submitted by IMAGINARY on
Friezes have occured as architectural ornaments for many centuries. In this snapshot, we consider the mathematical analogue of friezes as introduced in the 1970s by Conway and Coxeter. Recently, infinite versions of such friezes have appeared in current research. We are going to describe them and explain how they can be classified using some nice geometric pictures.
Submitted by IMAGINARY on
Very simple mathematical equations can give rise to surprisingly complicated, chaotic dynamics, with behavior that is sensitive to small deviations in the initial conditions. We illustrate this with a single recurrence equation that can be easily simulated, and with mixing in simple fluid flows.
Submitted by Jean Constant on
Random processes and visual perception.
After Dr. E Porteus demonstration: “The shortest route problem in optimisation models” - Fondations of stochastic inventory theory - Stanford University Press. 2002.
Submitted by IMAGINARY on
Communication forms the basis of biological interactions. While the use of a single communication mechanism (for example visual communication) by a species is quite well understood, in nature the majority of species communicate via multiple mechanisms. Here, I review some mathematical results on the unexpected behaviors that can be observed in biological aggregations where individuals interact with each other via multiple communication mechanisms.
Submitted by Aubin Arroyo on
Une promenade sur un polytope chiral de petite dimension
Submitted by IMAGINARY on
Leonhard Euler (1707–1783) – un des plus grands mathématiciens du dix-huitième siècle et de tous les temps – a entretenu une correspondance fréquente avec un de ses amis, Christian Goldbach (1690–1764), un amateur et esprit universel vivant et travaillant en Russie, tout comme Euler. Dans une lettre datée de juin 1742, Goldbach établit une conjecture – c’est-à-dire, une supposition éclairée – à propos des nombres premiers :
“Es scheinet wenigstens, dass eine jede Zahl, die größer ist als 2, ein aggregatum trium numerorum primorum sey.”
Submitted by IMAGINARY on
Ce qui suit est un court abrégé sur le thème de la factorisation de matrices. Nous expliquerons pourquoi ce concept très simple mène à des cheminements de pensée étonnamment profonds et trouve dans la physique théorique moderne d’importantes applications.
Submitted by IMAGINARY on
Les mathématiciens sont très intéressés par les nombres premiers. Dans cet instantané, nous traiterons de certains problèmes concernant la distribution des nombres premiers et présenterons des séries infinies particulières pour les étudier.
Submitted by Aubin Arroyo on
Des nœuds sauvages
Description of Hero´s method that probably was used for Samos tunnel digging
