Results 131 to 140 of about 625 (166)
Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
Oberwolfach Reports, 2017 New 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
, 2016 Workshop ...
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An Introduction to the Theory of Surreal Numbers
, 1986 The 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.
Gonshor, Harry
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Advances in Applied Mathematics, 2002 In this paper we use Conway's surreal numbers to define a refinement of the box-counting dimension of a subset of a metric space. The surreal dimension of such a subset is well-defined in many cases in which the box-counting dimension is not.
Ted Chinburg
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The Surreal Numbers and Combinatorial Games
, 2019 In the first half of this paper we study John H. Conway’s construction of the Surreal Numbers, showing it is a proper class that forms the totally ordered Field No that extends the real and ordinal numbers, and then explore some of these novel numbers ...
Holden, Daniel
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Practically surreal: Surreal arithmetic in Julia
SoftwareX, 2019 This paper presents an implementation of arithmetic on Conway’s surreal numbers. It also provides tools for visualising complicated surreals in the form of graph visualisations, and illustrates their use through several examples, and a small contribution
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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.
openaire +2 more sources