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Results tagged with surreal-numbers
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user 3621
For questions about the surreal numbers, which are a real-closed ordered proper-class-sized field that contains both the real numbers and the ordinal numbers. Thus they contain both infinite numbers (including the ordinals, but also infinite numbers like ω-1 and sqrt(ω)) and infinitesimal numbers (like 1/ω). They can also be identified with a subclass of two-player partisan games.
9
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3
answers
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Uniformizing the surcomplex unit circle
Is the multiplicative Group of surcomplex numbers of modulus 1 isomorphic to the additive Group of the surreal numbers modulo the sub-Group of surreal integers? And, do Norman Alling's surreal extens …
- 19.7k
34
votes
5
answers
6k
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Where do surreal numbers come from and what do they mean?
I know about Conway's original discovery of the surreal numbers by way of games,
as well as Kruskal's way of viewing surreal numbers in terms of asymptotic behavior
of real-valued functions, leading …
- 19.7k
18
votes
2
answers
1k
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Nice sign-expansions of special surreal numbers
What is the "right" surreal generalization of the fact that a real number $r$ is rational if and only if its sign-expansion is eventually periodic?
I can think of more than one natural way to general …
- 19.7k
28
votes
3
answers
6k
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Surreal numbers vs. non-standard analysis
What is the relationship between the surreal numbers and non-standard analysis?
In particular, is there a transfer principle for surreal numbers they way there is for NSA?
A specific situation in wh …
- 19.7k