
TL;DR
The paper discusses a fundamental property of three natural numbers where one is always at least as large as the Nim sum of the other two, highlighting its significance and applications.
Contribution
It formalizes and explores a key inequality involving triples of natural numbers and their Nim sums, revealing new insights and applications.
Findings
Proves the inequality for all triples of natural numbers.
Identifies multiple applications in combinatorial game theory.
Provides new perspectives on Nim sum properties.
Abstract
Among three natural numbers there is always one which is larger than or equal to the Nim sum of the remaining two numbers. This amazing fact has many applications.
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Taxonomy
TopicsArtificial Intelligence in Games · Evolutionary Algorithms and Applications
