康威数字 - 正式介绍

IF 1 Q1 MATHEMATICS
Karol Pąk
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引用次数: 0

摘要

摘要 超实数是约翰-康威提出的一个引人入胜的数学概念,因其独特的性质而备受关注。在本文中,我们将超实数的基本概念形式化,使其接近于组合博弈论领域中最初的康威约定。我们定义了米扎(Mizar)系统中带有前序的超实数,它满足以下条件:x ⩽ y iff Lx ≪ {y}Λ {x} ≪ Ry。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Conway Numbers – Formal Introduction
Summary Surreal numbers, a fascinating mathematical concept introduced by John Conway, have attracted considerable interest due to their unique properties. In this article, we formalize the basic concept of surreal numbers close to the original Conway’s convention in the field of combinatorial game theory. We define surreal numbers with the pre-order in the Mizar system which satisfy the following condition: x ⩽ y iff Lx ≪ {y} Λ {x} ≪ Ry.
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来源期刊
Formalized Mathematics
Formalized Mathematics MATHEMATICS-
自引率
0.00%
发文量
0
审稿时长
10 weeks
期刊介绍: Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.
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