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Tag Archives: game infinitesimals
Combinatorial Game Theory XII
Lesson 12 Recall the following Domineering configuration in lesson 10: The above game has a nice theory behind it. Definition : For any game G, the game –G (called miny–G) is defined to be: The game +G (called tiny–G) is defined … Continue reading
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Tagged combinatorial game theory, computer science, domineering, game infinitesimals, impartial games, intermediate, minies, tinies, toads and frogs
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Combinatorial Game Theory VIII
Lesson 8 In this lesson, we will further familiarise ourselves with games involving numbers. At the end of the lesson, we will encounter our first positive infinitesimal: the “up” ↑. Here, an infinitesimal is a value which is strictly between –r and r … Continue reading