Applied Math
Dive into the fascinating world of mathematics with our captivating articles, written by passionate experts. Whether you are a curious amateur or a seasoned mathematician, our articles cover a wide range of topics, from fundamental concepts to the latest discoveries, including practical applications and philosophical reflections.
Hilbert's 6th problem solved: the Newton-Boltzmann-Navier-Stokes link finally proven
A team of mathematicians has finally solved Hilbert's sixth problem, linking the equations of Newton, Boltzmann, and Navier-Stokes after 125 years of research.
Two billion smartphones turned into a seismograph network
Explanation of the Android earthquake alert system that turns the accelerometers of two billion phones into an early earthquake detection network.
Human brain mechanism that's revolutionizing self-driving AI
A team at the University of Valencia transposes a mechanism from the visual cortex into neural networks, improving autonomous driving by 20% in difficult conditions.
Determining the qibla: spherical trigonometry and direction to Mecca
Discover how Muslim tradition inspired elegant mathematical solutions for finding the direction of Mecca, combining spherical geometry and astronomy.
Ace: the math-powered robot beating ping-pong champs
Discover how Ace, a robot that combines reinforcement learning with event-based vision, can beat ping-pong champions. We break down the mathematics behind this feat, published in Nature.
Gabriel Cramer and Cramer's rule in the 18th century
The appendix to Gabriel Cramer's Introduction à l’analyse des lignes courbes algébriques contains the famous rule for solving systems of linear equations and Bézout's theorem.
Econometrics: measuring to understand | Insee
Econometrics uses mathematics and statistics to uncover causal relationships in economic phenomena and inform public policy.
Modélisation des écoulements d'air autour des éoliennes : équations de Navier-Stokes et simulations numériques
The energy sector needs advanced mathematical expertise. In wind energy, modeling airflow means grappling with the formidable Navier–Stokes equations. Numerical simulation draws on a variety of discretization techniques.