Results 1 to 10 of about 447 (113)
Duality, Matroids, Qubits, Twistors, and Surreal Numbers [PDF]
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
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]
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
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Transfinite Function Iteration and Surreal Numbers
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beyer, W.A., Louck, J.D.
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Some Mathematical and Physical Remarks on Surreal Numbers
19 pages, Latex, to be published in Journal of Modern ...
Juan Antonio Nieto
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The semiotics of the title in Saadi Yousef's Layali-e-Kolha anthology based on Saussure's semiotic approach [PDF]
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]
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
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Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers
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
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Conway’s field of surreal numbers [PDF]
Conway introduced the Field N o {\mathbf {No}}
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Surreal numbers as hyperseries
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
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