Results 111 to 120 of about 477 (143)
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Ordinal Operations on Surreal Numbers
Bulletin of the London Mathematical Society, 1994An open problem posed by \textit{J. H. Conway} [in: ``All numbers, great and small'', Res. Pap. No. 149, Calgary, Alberta, Can.: The Univ. of Calgary, Dept. Math. Stat. (1972; Zbl 0334.00002)] was whether one could, on his system of numbers and games, ``\dots define operations of addition and multiplication which restrict on the ordinals to give their ...
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2006
Surreal Numbers form a totally ordered (commutative) Field, containing copies of the reals and (all) the ordinals. I have encoded most of the Ring structure of surreal numbers in Coq. This encoding relies on Aczel's encoding of set theory in type theory.
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Surreal Numbers form a totally ordered (commutative) Field, containing copies of the reals and (all) the ordinals. I have encoded most of the Ring structure of surreal numbers in Coq. This encoding relies on Aczel's encoding of set theory in type theory.
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Chapter 4 Introduction to the Surreal Number Field No
North-Holland Mathematics Studies, 1987exaly +2 more sources
Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
Oberwolfach Reports, 2017New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered and exploited. The aim of the workshop was to bring quickly together experts and young researchers, to articulate and investigate
Berarducci, Alessandro +2 more
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Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
2016Workshop ...
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An Introduction to the Theory of Surreal Numbers
1986The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal introduction to the theory in a clear and lucid style.
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2022
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
openaire +1 more source