Results 11 to 20 of about 21,674,610 (304)
The domination monoid in henselian valued fields [PDF]
Pacific Journal of Mathematics, 2021 We study the domination monoid in various classes of structures arising from the model theory of henselian valuations, including RV-expansions of henselian valued fields of residue characteristic 0 (and, more generally, of benign valued fields), p ...
M. Hils, Rosario Mennuni
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ARTIN–SCHREIER EXTENSIONS AND COMBINATORIAL COMPLEXITY IN HENSELIAN VALUED FIELDS [PDF]
Journal of Symbolic Logic (JSL), 2021 We give explicit formulas witnessing IP, IP $_{\!n}$ , or TP2 in fields with Artin–Schreier extensions. We use them to control p-extensions of mixed characteristic henselian valued fields, allowing us most notably to generalize to the NIP $_{\!n ...
Blaise Boissonneau
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Spherically complete models of Hensel minimal valued fields [PDF]
Mathematical Logic Quarterly, 2021 We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hensel minimality we use is 0‐hmix‐minimality (which, in equi‐characteristic 0,
David Bradley-Williams +1 more
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The Gaussian entropy map in valued fields [PDF]
, 2021 We exhibit the analog of the entropy map for multivariate Gaussian distributions on local fields. As in the real case, the image of this map lies in the supermodular cone and it determines the distribution of the valuation vector.
Y. Maazouz
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Some Results on Single Valued Neutrosophic Bi-ideals in Ordered Semigroups [PDF]
Neutrosophic Sets and Systems, 2021 The importance of the theory of neutrosophy is due to its connections with several fields of sciences, engineering, and technology. So, the aim of this paper is to relate neutrosophy with some algebraic structures mainly the ordered semigroups.
H. Al-Akara, M. Al-Tahan, J. Vimala
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Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi +3 more
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Quantifier elimination for quasi-real closed fields
Comptes Rendus. Mathématique, 2021 We prove quantifier elimination for the theory of quasi-real closed fields with a compatible valuation. This unifies the same known results for algebraically closed valued fields and real closed valued fields.
Matusinski, Mickaël, Müller, Simon
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Interpretable fields in various valued fields
Advances in Mathematics, 2022 Let $\mathcal{K}=(K,v,\ldots)$ be a dp-minimal expansion of a non-trivially valued field of characteristic $0$ and $\mathcal{F}$ an infinite field interpretable in $\mathcal{K}$. Assume that $\mathcal{K}$ is one of the following: (i) $V$-minimal, (ii) power bounded $T$-convex, or (iii) $P$-minimal (assuming additionally in (iii) generic ...
Halevi, Yatir +2 more
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A New Framework of Interval-valued Neutrosophic in Ẑ -algebra [PDF]
Neutrosophic Sets and Systems, 2023 This article deals about an interval-valued neutrosophic Ẑ-algebra is a mathematical framework which incorporates the concepts of interval-valued neutrosophic sets, Ẑ-algebra and algebraic operations.
K. P. Shanmugapriya, P. Hemavathi
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Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning [PDF]
Mathematical programming, 2019 Modern problems in AI or in numerical analysis require nonsmooth approaches with a flexible calculus. We introduce generalized derivatives called conservative fields for which we develop a calculus and provide representation formulas.
J. Bolte, Edouard Pauwels
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