温度理论基础
Foundations of Temperature Theory
摘要:
自Conway创立现代组合对策论以来,人们对组合对策的温度问题进行了长期的研究,并出现了几种不同的概念。在这篇文章中,我们专注于一个经典版本的温度,并给出精确的证明的基本要求,即温度的存在性,序保持,同态。此外,还研究了对策的价值与热图之间的一般关系。
英文摘要:
Temperature of combinatorial games have been long studied since when Conway established the modern combinatorial game theory, and there are several variations of the concepts. In this article, we focus on one of the classical versions of temperature, and give precise proofs to the fundamental claims on temperature, namely, the existence, order-preservation, and homomorphism. Besides, a general relationship between the value and the thermograph of a game is investigated.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。