The geometry of information: metrics on probabilities

In the field of applied mathematics to statistics and data science, information geometry emerges as a central discipline, where probability modeling exceeds simple calculations and enters a spatial dimension. In 2025, a deep understanding of the geometric structures associated with probability distributions not only sheds light on the foundations of the metrics used but also … Read more

The calculation of probabilities in games of chance

Le calcul des probabilités dans les jeux de hasard

IN BRIEF Probabilities and games of chance: Introduction to the basic concepts. Calculation of probabilities: Strategies to increase winning chances. The role of combinatorial calculation in evaluating options. Examples of modeling related to well-known games. Importance of laws of chance: Failures and successes in games. Specific strategies for games like poker and lottery. History of … Read more

Combinatorics and Its Practical Applications

La combinatoire et ses applications pratiques

IN BRIEF Combinatorics studies the configurations of finite collections of objects. Essential in many research sectors. Analytic combinatorics: a fusion of analysis and combinatorics for counting. Counting: a process for tallying the outcomes of experiments. Varied applications in computer science, biology, and physics. Mathematical tools: probabilities, graphs, and discrete structures. Combinatorics is an essential branch … Read more