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Let's get surreal : a consistent conception of the geometric linear continuum as a collection of surreal numbers

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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Hyperseries and surreal numbers

Hyperséries et Nombres surréels Les hyperséries sont des transsériesgénéralisées construites à partir d’exponentielleset de logarithmes log x d’une variable positive et infinimentgrande x, ainsi que d’itérateurs transfinisde l'exponentielle et du logarithme. Par exemple, les premiers itérateurs peuvent être vus comme des avatars formels
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Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers

Journal of Symbolic Logic, 2001
Introduction. In his monograph On Numbers and Games [7], J. H. Conway introduced a real-closed field containing the reals and the ordinals as well as a great many other numbers including ω, ω, /2, 1/ω, and ω − π to name only a few. Indeed, this particular real-closed field, which Conway calls No, is so remarkably inclusive that, subject to the proviso
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Surreal Numbers.

The American Mathematical Monthly, 1975
Kenneth O. May, D. E. Knuth
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Surreal Numbers

Math Horizons, 1996
John Conway, Richard Guy
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Towards a Surreal Spin Theory: Surreal Superstrings?

Journal of Applied Mathematics and Physics, 2022
Juan Antonio Nieto
exaly  

Real surreal trajectories in pilot-wave hydrodynamics

Physical Review A, 2022
Valeri Frumkin   +2 more
exaly  

Introduction to surreal numbers

Physica D: Nonlinear Phenomena, 1987
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