transformations

Integrable systems: solitons and transformations

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Integrable systems embody a fascinating branch of physics and mathematics, revealing phenomena of rare elegance. Rooted in rigorous mathematical structures, these systems allow for the study of nonlinear waves and stable, recurrent solutions called solitons, which are observed in contexts as diverse as the propagation of light in optical fibers, ocean waves, or even quantum … Read more

Geometric transformations in advanced mathematics

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Les transformations géométriques en mathématiques avancées

IN BRIEF Geometric transformations: Mechanisms for modifying figures in the plane. Main types: Translation, Rotation, Reflection, Homothety. Bijectivity: Unique association between original points and image points. Conservations: Lengths, angles, areas, and alignments preserved during transformations. Varied applications: Used in various fields such as physics and computer science. Pedagogical approach: Presentation and exercises in student textbooks. … Read more