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The 32nd Mathematical and Logical Games Championship, organized by the Fédération française des jeux mathématiques, is under way. Tangente brings you an exclusive look at the eighteen problems from the individual quarterfinals.
Harmonic analysis, born of functional analysis, studies how functions can be represented as superpositions of basis functions. In signal theory, these basis functions, often polynomials, lie at the heart of sound and image processing in our digital world.
How does the Earth, of mass m, move around the Sun, of mass M, under gravity alone? To answer this question with something more than philosophical assertions, Newton proposed a synthetic method inspired by the description of motion.
