Results 61 to 70 of about 625 (166)

The secret to a successful career in science-according to Magritte. [PDF]

Proc Natl Acad Sci U S A, 2023
Goldstein JL.
europepmc   +1 more source

An Analysis of The Surreal Number System

, 2017
The surreal numbers are an enormous and extensive class of numbers. The surreals contain familiar numbers such as integers and real numbers, along with less familiar numbers such as ordinals or strictly surreal numbers.
Brown, Aaron C
core  

Surreal Numbers: A Study of Square Roots

Formalized Mathematics
Summary This paper sets out to formalize the concept of the square root as proposed by Clive Bach in the section entitled Properties of Division in Conway’s book. The proposed construction extends the classical approach to the square root of real numbers to include both ...
openaire   +1 more source

Recursive definitions on surreal numbers

, 2006
Let No be Conway's class of surreal numbers. I will make explicit the notion of a function f on No recursively defined over some family of functions. Under some "tameness" and uniformity condition, f must satisfy some interesting properties; in particular, the supremum of the class of element greater or equal to a fixed d in No is actually an element ...
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Surreal substructures

International audienceConway's field No of surreal numbers comes both with a natural total order and an additional "simplicity relation" which is also a partial order.
Bagayoko, Vincent, van der Hoeven, Joris
core   +1 more source

Surreal numbers, exponentiation and derivations

We give a presentation of Conway’s surreal numbers focusing on the connections with transseries and Hardy fields and trying to simplify when possible the existing ...
Alessandro Berarducci
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Surreal numbers, Transseries and Omega maps

, 2019
We prove the ordered abelian group of monomials of the field of logarithmic exponential transseries is isomorphic to the additive reduct of the field itself and describe such an isomorphism (omega map); then discuss its relation with Conway's omega map ...
FRENI, PIETRO
core  

Art in an age of artificial intelligence. [PDF]

Front Psychol, 2022
Chatterjee A.
europepmc   +1 more source

Conway names, the simplicity hierarchy and the surreal number tree

Journal of Logic and Analysis, 2011
Each surreal number has a unique Conway name (or normal form) that is characteristic of its individual properties. The paper answers the following two questions that are naturally suggested by the surreal number system's structure as a lexicographically ordered full binary tree.
openaire   +3 more sources

Surreal substructures

, 2019
Conway's field No of surreal numbers comes both with a natural total order and an additional "simplicity relation" which is also a partial order. Considering No as a doubly ordered structure for these two orderings, an isomorphic copy of No into itself ...
Bagayoko, Vincent, Van Der Hoeven, Joris
core