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At the heart of modern computing lies a quiet mathematical force: the Poisson distribution, a cornerstone of stochastic modeling. Originally developed to describe rare events—from radioactive decay to call arrivals—its principles underpin algorithmic reliability and randomness sources in software design. This article explores how discrete combinatorial structures, binomial sampling, and deterministic algorithms converge in systems […]

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1. Introduction : L’entropie, un concept fondamental sans mystère L’entropie, bien plus qu’une notion abstraite, est une mesure physique du désordre dans un système isolé. En thermodynamique, elle quantifie la tendance naturelle des systèmes vers un état d’équilibre plus désordonné. Pourtant, cette loi — ΔS ≥ 0 — est à la fois intuitive et profondément

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