Results 11 to 20 of about 11,618,175 (381)
Rationalizability of field extensions with a view towards Feynman integrals [PDF]
Journal of Geometry and Physics, 2022 In 2021, Marco Besier and the first author introduced the concept of rationalizability of square roots to simplify arguments of Feynman integrals. In this work, we generalize the definition of rationalizability to field extensions.
Dino Festi, Andreas Hochenegger
exaly +4 more sources
Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation
IEEE Symposium on Computer Arithmetic, 2009 A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook method together with field extensions.
Murat Cenk +2 more
exaly +3 more sources
Distances of elements in valued field extensions [PDF]
Manuscripta mathematica, 2019 We develop a modification of a notion of distance of an element in a valued field extension introduced by F.-V. Kuhlmann. We show that the new notion preserves the main properties of the distance and at the same time gives more complete information ...
Blaszczok, Anna
core +2 more sources
Field Extensions and Kronecker’s Construction [PDF]
Formalized Mathematics, 2019 Summary This is the fourth part of a four-article series containing a Mizar [3], [2], [1] formalization of Kronecker’s construction about roots of polynomials in field extensions, i.e. that for every field F and every polynomial p ∈
Christoph Schwarzweller
openaire +2 more sources
Dimension-8 SMEFT analysis of minimal scalar field extensions of the Standard Model [PDF]
Journal of High Energy Physics, 2023 We analyze the constraints obtainable from present data using the Standard Model Effective Field Theory (SMEFT) on extensions of the Standard Model with additional electroweak singlet or triplet scalar fields.
John Ellis +2 more
doaj +2 more sources
Revisiting Kneser’s theorem for field extensions [PDF]
Comb., 2017 A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all extensions.
Bachoc, Christine +6 more
core +3 more sources
Stability of ranks under field extensions
Discrete AnalysisStability of ranks under field extensions, Discrete Analysis 2025:27, 29 pp. There are several notions of complexity associated with tensors, each capturing different aspects of their algebraic or geometric structure. These notions depend sensitively on
Qiyuan Chen, Ke Ye
doaj +2 more sources
A Database for Field Extensions of the Rationals [PDF]
LMS Journal of Computation and Mathematics, 2001 AbstractThis paper announces the creation of a database for number fields. It describes the contents and the methods of access, indicates the origin of the polynomials, and formulates the aims of this collection of fields.
Jürgen Klüners, Gunter Malle
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The structure of inseparable field extensions
, 1975 The goal of this paper is to introduce some structural ideas into the hitherto chaotic subject of infinite inseparable field extensions. The basic discovery is that the theory is closely related to the well-developed study of primary abelian groups. This
William C. Waterhouse
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Conditions for matchability in groups and field extensions [PDF]
Linear and multilinear algebra, 2021 The origins of the notion of matchings in groups spawn from a linear algebra problem proposed by E. K. Wakeford [On canonical forms. Proc London Math Soc (2).
M. Aliabadi +4 more
semanticscholar +1 more source