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PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS

JP Journal of Algebra, Number Theory and Applications, 2019
Summary: A number field is called a Pólya field if the module of integer-valued polynomials over its ring of integers has a regular basis. A cubic field is a \(S_3\)-field if the Galois group of its splitting field is isomorphic to the symmetric group \(S_3\). In this paper, we characterize Pólya fields that are splitting fields of \(S_3\)-fields.
Kientéga, Gérard   +2 more
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The number fields that are $${O}^{*}$$-fields

Algebra universalis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Random Field, Interval Field, Fuzzy Field and Mixed Field

2022
Material properties are assumed to be random parameters, interval parameters and fuzzy parameters. If the variation range is large, they are not assumed to be constants. Two improved methods of the random field are developed. The midpoint method, local average method, interpolation method and improved interpolation method of interval field are ...
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On the hyperfield or field-of-field concept

International Journal of Geographical Information Science, 2013
This article introduces the concept of hyperfield as a recursive field-of-field structure using a Unified Modelling Language UML modelling approach in two different variants, the hyperfield instance and hyperfield template models. The recursive property defines a hyperfield of degree n as a representation of a relation between n locations in ...
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An android in the field

Proceedings of the 6th international conference on Human-robot interaction, 2011
Since most robots are not easily displayable in real-life scenarios, only a few studies investigate users' behavior towards humanoids or androids in a natural environment. We present an observational field study and data on unscripted interactions between humans and the android robot "Geminoid HI-1".
Rosenthal-von der Pütten, Astrid   +3 more
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Fields of Experts

International Journal of Computer Vision, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan Roth 0001, Michael J. Black
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Fields with Exceptional Tangent Fields

Journal of Theoretical Probability, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Electric Field in a Gravitational Field

Foundations of Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal fields

Journal of Symbolic Logic, 2000
AbstractA minimal field of non-zero characteristic is algebraically closed.
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