Results 1 to 10 of about 447 (113)

Duality, Matroids, Qubits, Twistors, and Surreal Numbers [PDF]

open access: yesFrontiers in Physics, 2018
We show that via the Grassmann-Plücker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors, and surreal numbers are, in fact, deeply connected. Moreover, we conjecture the possibility that these concepts may be
J A Nieto
exaly   +5 more sources

Practically surreal: Surreal arithmetic in Julia

open access: yesSoftwareX, 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

exaly   +3 more sources

The Exponential-Logarithmic Equivalence Classes of Surreal Numbers [PDF]

open access: yesOrder, 2014
In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. Subsequently, L. van den Dries and P. Ehrlich showed that it is a model of the elementary theory of the field of real numbers with the exponential function.
Mickael Matusinski   +2 more
exaly   +4 more sources

Transfinite Function Iteration and Surreal Numbers

open access: yesAdvances in Applied Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beyer, W.A., Louck, J.D.
exaly   +3 more sources

Some Mathematical and Physical Remarks on Surreal Numbers

open access: yesJournal of Modern Physics, 2016
19 pages, Latex, to be published in Journal of Modern ...
Juan Antonio Nieto
exaly   +4 more sources

The semiotics of the title in Saadi Yousef's Layali-e-Kolha anthology based on Saussure's semiotic approach [PDF]

open access: yesنقد ادب معاصر عربی, 2022
and analyzing the relationship between signs and their meanings. Semiotic analysis is a useful for practicing a new way of reading. In modern poetry, naming poems is one of its structural dimensions, is considered as a complementary element for the poem ...
Abbas Najafi, Khodadad Bahri
doaj   +1 more source

The surreal numbers as a universal $H$-field [PDF]

open access: yesJournal of the European Mathematical Society, 2019
We show that the natural embedding of the differential field of transseries into Conway’s field of surreal numbers with the Berarducci–Mantova derivation is an elementary embedding. We also prove that any Hardy field embeds into the field of surreals with the Berarducci–Mantova derivation.
Aschenbrenner, Matthias   +2 more
openaire   +3 more sources

Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers

open access: yesJournal of Logic and Analysis, 2014
Summary: The class \textbf{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 \textbf{No}.
Simon Rubinstein-Salzedo   +1 more
openaire   +3 more sources

Conway’s field of surreal numbers [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
Conway introduced the Field N o {\mathbf {No}}
openaire   +2 more sources

Surreal numbers as hyperseries

open access: yes, 2023
Surreal numbers form the ultimate extension of the field of real numbers with infinitely large and small quantities and in particular with all ordinal numbers. Hyperseries can be regarded as the ultimate formal device for representing regular growth rates at infinity. In this paper, we show that any surreal number can naturally be regarded as the value
Bagayoko, Vincent, van der Hoeven, Joris
openaire   +2 more sources

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