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Surreal number

  • 超现实数(超现实数是一种连续统,包括实数和无穷量,具有全序关系和算术运算,构成有序域。它是可能出现的有序域中最大的,包含所有超限序数。由康威定义和构造,名称由高德纳提出。在《研究之美》中提出,是一种新的数学概念。康威在《论数字与博弈》中使用它进行博弈分析)

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  超实数

... supremum:上确界; surreal number超实数; symmetric difference:对称差; ...

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surreal number detail 超实数

Surreal number

  • abstract: In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share many properties with the reals, including a total order ≤ and the usual arithmetic operations (addition, subtraction, multiplication, and division); as such, they form an ordered field.

以上来源于: WordNet

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