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Maths beyond equations

You may be one of the many students for whom maths has been an ordeal, an uphill struggle. Yet, on closer inspection, a mysterious beauty sometimes emerges from equations and geometric shapes...

Family of conics above a straight line, research objects of the Mathematics Research Laboratory in Angers (Larema).
Family of conics above a straight line, research objects of the Mathematics Research Laboratory in Angers (Larema).

© Jean-Claude Moschetti / LAREMA / CNRS Images

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... when mathematics in itself is not a work of art - and besides, is art not infused with ingenious calculations of proportions and perspectives? Maths is everywhere, it can be found in almost every discipline, obviously in physics, but also in resource optimisation, environmental protection and even philosophy. It must also be emphasised that France has nothing to be ashamed of in terms of its achievements, since it has a number of brilliant researchers in mathematics, whose profiles can be seen here.

On World Mathematics Day, immerse yourself in this fascinating world, through the most interesting applications and characters.

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Portrait Anne-Laure Dalibard lauréate de la Médaille de Bronze 2018 du CNRS. Enseignante-chercheuse en mathématiques, spécialiste des phénomènes multi-échelles en océanographie et plus généralement en mécanique des fluides, au Laboratoire Jacques-Louis Lions. Elle bénéficie depuis 2015 d'une bourse ERC Starting Grant pour le projet BLOC qui a pour but d'analyser différents types de couches limites intervenant dans l'analyse des courants océaniques.

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Médaille de Bronze 2018 : Anne-Laure Dalibard, enseignante-chercheuse en mathématiques
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The Youtube channel Zeste de science explores all aspects of scientific research, proving that even the most complicated scientific facts can be explained in less than 5 minutes, and that even the most seemingly trivial events of everyday life, if thoroughly studied, can contribute to the biggest technological advances. Episode 8: You are in the mood to tile your bathroom with pentagonal tiles? Sure, why not, but how do you do it? The question may seem silly, but has…

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A Pentagonal Tiling ZdS#8
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At the Institut Henri Poincaré, the exhibition "Esthétopies, variétés d'espaces sensibles" (esthetopies, varieties of sensitive spaces) has the ambitious goal of sharing the fascinating beauty of non-Euclidian geometry with the general public. This project originated from the initiative of Pierre Berger, a former student of Decorative Arts, now a mathematician specialising in three-dimension spaces. Inspired as much by Man Ray's writings as by the work of William Thurston, he designed a…

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When maths turn into art
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Nearly one out of every four Netflix online video is viewed on a mobile phone. But even in this case, broadcasting comes in high definition. Delivering 4K images despite low telephone bit rate throughput (100KB/s) is the feat that Netflix was able to achieve thanks to researchers at the LS2N (Laboratoire des Sciences du Numérique/digital sciences laboratory) in Nantes. After interviewing numerous users of the American platform, the scientists developed an algorithm that allowed them to…

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VMAF
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Pas de cession par extrait

The Youtube channel Zeste de science explores all aspects of scientific research, proving that even the most complicated scientific facts can be explained in less than 5 minutes, and that even the most seemingly trivial events of everyday life, if thoroughly studied, can contribute to the biggest technological advances. Episode 25: Can we predict the behaviour of a crowd evacuating a room? To understand this phenomenon, scientists have created mathematical…

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How to Use Maths to Model a Crowd ZdS#25
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On the occasion of the 2017 CNRS innovation medal award ceremony, this film is a look back on Raphaèle Herbin's career, a mathematician specialized in the numerical analysis of partial differential equations who heads the Marseille Mathematics Institute (a joint research unit between CNRS/École centrale de Marseille/University of Aix-Marseille). The research she conducted with her colleagues on the theoretical analysis of finite volume methods and computerized simulation of compressible flow…

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2017 CNRS Innovation Medal laureate: Raphaèle Herbin
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The 2016 CNRS Gold Medal was awarded to the mathematician Claire Voisin. This distinction came as recognition for her major contributions to Complex Algebraic Geometry. Famous for her original and multifarious research, she won numerous rewards and has achieved exceptional international credit. In this portrait, Claire Voisin takes a look back on her career and enthuses over the endless questions raised by mathematics. As a CNRS researcher for more than thirty years and rewarded on many…

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Claire Voisin and the strength of abstraction
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As a specialist in image analysis and processing, the 61 year-old mathematician Jean-Michel Morel would never have reckoned when starting his research career that it would change the life of industrialists and the public at large. Since then, his powerful image denoising algorithms (to filter out disturbances, aka noise) have improved the miniaturisation of video cameras in cell phones, especially those produced by the DxO Labs Company. Additionally, in partnership with the CNES, his research…

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2015 CNRS Innovation Medal laureate: Jean-Michel Morel
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Stéphane Mallat, mathematician and professor at the École Normale Supérieure de Paris, winner of the 2013 CNRS innovation medal, looks back on his research. He is one of the pioneers who introduced orthogonal wavelet bases and parsimonious representations. This theory has been applied in many scientific and industrial fields. In particular, he introduced wavelet image representation and compression algorithms, which led to the international JPEG-2000 standard. Stéphane Mallat subsequently…

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2013 CNRS Innovation Medal laureate: Stéphane Mallat
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At the occasion of the bicentenary of Evariste Galois ' s birth, this film evokes the life and the work of one of the greatest mathematics genius, whose theory has revolutionized modern mathematics and physics. Born in 1811, he died at the age of 21 following a duel. He discovered the world of mathematics at the age of 16 and his papers were refused by the French Académie des Sciences. His theory started to be recognized and understood only 30 years later.

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Evariste Galois

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