论文标题

温度理论基础

Foundations of Temperature Theory

论文作者

Bando, Katsuyuki, Ken, Eitetsu, Morikawa, Kota

论文摘要

自康威(Conway)建立现代组合游戏理论以来,组合游戏的温度已经长期进行了研究,并且概念有几种变化。在本文中,我们专注于温度的经典版本之一,并为温度的基本主张提供了确切的证据,即存在,订单保存和同态。此外,研究了游戏的价值与热量计学之间的一般关系。

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.

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