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Patterns are structured regularities that emerge from underlying mathematical or informational rules, revealing order within apparent chaos. They serve as the foundation for prediction, modeling, and understanding complex systems—from probabilistic inference to deterministic chaos, and from information theory to visual design. At their core, patterns transform randomness into meaningful structure, enabling systems to evolve, communicate,

1. Introduction: Understanding Risk and Chance in Nature and Games Risk and chance are fundamental elements that influence both the natural world and human-designed activities such as games. In essence, risk involves exposure to potential loss or harm, while chance refers to the probability of an event occurring, often unpredictable. Recognizing these concepts is crucial

Greek mythology, with its rich tapestry of gods, heroes, monsters, and epic tales, has long served as a profound source of inspiration across various art forms. Today, this ancient mythological universe continues to influence contemporary game design, shaping narratives, characters, visual motifs, and gameplay mechanics. By examining how these timeless stories are woven into modern

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1. Introduction aux chaînes de Markov : comprendre la clé de la modélisation probabiliste moderne a. Définition et importance des chaînes de Markov dans la science contemporaine Les chaînes de Markov représentent un modèle probabiliste permettant de prévoir l’évolution d’un système en se basant uniquement sur son état actuel, sans tenir compte de son passé.

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Table des matières Introduction : La perception du succès dans le contexte de Sugar Rush 1000 et ses implications éducatives La psychologie de la réussite : comment la perception du succès façonne l’état d’esprit des participants La motivation intrinsèque versus extrinsèque : influence de la perception du succès sur la persévérance La construction de l’identité