Results 11 to 20 of about 625 (166)

Decomposing the automorphism group of the surreal numbers

We study the automorphism group of the field of surreal numbers. Our main structure theorem presents a decomposition of this group into a product of five significant factors. Using the representation of surreal numbers as generalized power series via their Conway normal form, we apply results on Hahn fields and groups from the literature in order to ...
Kaplan, E. ; https://orcid.org/0000-0002-5542-2863, Krapp, L., Serra, M.   +2 more
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The continuum of the surreal numbers revisited.The surreal numbers defined through transfinite Cauchy fundamental sequences

, 2021
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,that the three different techniques and hierarchies of the continuums of the transfinite real numbers of Glayzal A. (1937) defined through transfinite power series , of the surreal numbers of J.H.
Kyritsis, Konstantinos E.
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Inverse Element for Surreal Number [PDF]

Formalized Mathematics
Summary Conway’s surreal numbers have a fascinating algebraic structure, which we try to formalise in the Mizar system. In this article, building on our previous work establishing that the surreal numbers fulfil the ring properties, we construct the inverse element for any non-zero number.
Pąk, Karol
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Hyperseries subfields of surreal numbers

31 ...
Bagayoko, Vincent
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Meta‐Virtuality: Strategies of Disembeddedness in Virtual Interiorities

Journal of Interior Design, EarlyView., 2022
ABSTRACT To reclaim their seat in the rapidly growing market of virtual space, designers of the built environment can benefit from reevaluating theories that see the virtual as a mere extension/reflection of the physical. By claiming ontological autonomy from external worlds, the virtual is liberated from the hegemonic control of the physical.
Vahid Vahdat
wiley   +1 more source

The hyperserial field of surreal numbers

, 2021
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) on the class No^(>,≻) of positive infinitely large surreal numbers.
Bagayoko, Vincent, van der Hoeven, Joris
core   +1 more source

Recursive surreal numbers.

Notre Dame Journal of Formal Logic, 1990
This paper considers effectivizations of the two standard developments of the surreal number system, viz. via cuts and via sign sequences. Properties of both versions of «computable surreals» are investigated, and it is shown that the two effectivizations in fact yield different sets of ...
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Analysis on Surreal Numbers

, 2013
The class $\mathbf{No}$ of surreal numbers, which John Conway discovered while studying combinatorial games, possesses a rich numerical structure and shares many arithmetic and algebraic properties with the real numbers. Some work has also been done to develop analysis on $\mathbf{No}$.
Rubinstein-Salzedo, Simon, Swaminathan, Ashvin   +1 more
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Between soft power and suspicion: Chinese international students as diasporic actors in U.S.‐China geopolitical tensions

British Educational Research Journal, EarlyView.
Abstract This study examines the under‐theorized political role and identity of Chinese international students, who emerge as significant actors caught between U.S. soft power ambitions and rising geopolitical suspicion. Amid escalating U.S.‐China tensions, these students are forced to confront environments shaped by competing geopolitical discourses ...
Jing Yu
wiley   +1 more source

The hyperserial field of surreal numbers

, 2023
44 pages, comments are ...
Bagayoko, Vincent, van der Hoeven, Joris
openaire   +2 more sources