Can a solid be built that casts various shadows such as the letters of your name or the profiles of your friends? Yes if, visually, nothing distinguishes the shadow cast from the desired image.

Statisticians identify who, from Lennon or McCartney, is the composer of In My Life, applying to music data analysis techniques commonly used to assign a text to a person from different presumed authors.

A fine analysis of the difference between the arithmetic mean and the median illuminates some aspects of non-transitivity.

Here is a small challenge. A coloring business that does not require any particular artistic talent. It is about combinatorics and logic.

How to emerge global information about a network using only local information? In a relatively simple framework, a solution is based on Toom's cellular automaton.

Mathematics makes it possible to reconstitute the "harmonic filter" that the ear does naturally. Until being able to guide the race of a blind rollerblading champion!

French scientist Stéphane Mallat is a specialist in deep learning algorithms, and is behind the new data sciences chair at the Collège de France. This has also been the topic of his lectures since January, with the aim of deepening the links between mathematics and applications.

In mathematics, the magic lies in the contrast between our perception a priori and the evidence: if many can understand the statement and have fun, it takes a lot of effort and genius to demonstrate it!

The US basketball season is in full swing. Some teams are clocking up good results; others are thinking of transferring players to enhance the team. Unfortunately (or not), transactions are governed by the powerful NBA, which limits the total sum available to pay a team. Directors therefore need to recruit intelligently. So, the teams invest in probability and statistics consultants.

Where should you place a lamp that will light up the whole room? After looking for a while, you decide not to light the room directly. Following the advice of an interior designer, you cover the walls with mirrors to eliminate the dark corners. Yet you still have the impression that you cannot light the whole room. This is a mathematical problem called illumination.

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Photo Bernard Martinez

DR. DOMINIQUE LEGLU

Managing Editor

 

La Recherche, founded in 1970, is a major source of science information in France for science-interested citizens, leading universities and research institutions. The site Researchinfrance.com publishes the English version of a series of articles about the most advanced achievements appearing in our printed French version.

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November 11, 2018

November 11, 2018

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