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Tag Archives: up game
Combinatorial Game Theory XI
Lesson 11 In this lesson, we will cover more on canonical forms. First recall that for m↑ + (*n) with m > 0, this game is positive except when (m, n) = (1, 1). Let’s consider the canonical forms of … Continue reading
Combinatorial Game Theory Quiz 2
This quiz lasts 70 minutes and covers materials from lessons 19. Use the simplicity rule to compute the values of the following games. (10 points) {1/2  } {1/4  } {1/8  3/8} {0  7/8} {1/8  9/16} … Continue reading
Posted in Homework
Tagged combinatorial game theory, computer science, game numbers, intermediate, partial games, up game
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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