Results 31 to 40 of about 21,674,610 (304)
A closedness theorem and applications in geometry of rational points over Henselian valued fields [PDF]
The Journal of Singularities, 2017 We develop geometry of algebraic subvarieties of $K^{n}$ over arbitrary Henselian valued fields $K$. This is a continuation of our previous article concerned with algebraic geometry over rank one valued fields.
K. Nowak
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Analytic functions over valued fields
International Journal of Mathematics and Mathematical Sciences, 1990 Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective ...
R. Bhaskaran, V. Karunakaran
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Quantum-Classical Decomposition of Gaussian Quantum Environments: A Stochastic Pseudomode Model
PRX Quantum, 2023 We show that the effect of a Gaussian bosonic environment linearly coupled to a quantum system can be simulated by a stochastic Lindblad master equation characterized by a set of ancillary bosonic modes initially at zero temperature and classical ...
Si Luo +3 more
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On the Complex-Valued Distribution Function of Charged Particles in Magnetic Fields
Mathematics, 2021 In this work, we revisit Boltzmann’s distribution function, which, together with the Boltzmann equation, forms the basis for the kinetic theory of gases and solutions to problems in hydrodynamics.
Andrey Saveliev
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Real closed valued fields with analytic structure [PDF]
Proceedings of the Edinburgh Mathematical Society, 2018 We show quantifier elimination theorems for real closed valued fields with separated analytic structure and overconvergent analytic structure in their natural one-sorted languages and deduce that such structures are weakly o-minimal.
Pablo Cubides Kovacsics, Deirdre Haskell
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Multiplicative valued difference fields [PDF]
The Journal of Symbolic Logic, 2012 AbstractThe theory of valued difference fields (K, σ, υ,) depends on how the valuation υ interacts with the automorphism σ. Two special cases have already been worked out - the isometric case, where υ(σ(x)) = υ(x) for all x Є K, has been worked out by Luc Belair, Angus Macintyre and Thomas Scanlon; and the contractive case, where υ(σ(x)) > nυ(x) for
openaire +3 more sources
Key polynomials over valued fields [PDF]
Publicacions matemàtiques, 2018 Let K be a field. For a given valuation on K[x], we determine the structure of its graded algebra and describe its set of key polynomials, in terms of any given key polynomial of minimal degree.
E. Nart
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Prime valued polynomials and class numbers of quadratic fields
International Journal of Mathematics and Mathematical Sciences, 1990 It is the purpose of this paper to give a survey of the relationship between the class number one problem for real quadratic fields and prime-producing quadratic polynomials; culminating in an overview of the recent solution to the class number one ...
Richard A. Mollin
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The cgeostat Software for Analyzing Complex-Valued Random Fields
Journal of Statistical Software, 2017 Given a vectorial data set in two dimensions, a representation on a complex domain is often convenient. This representation is rarely considered in geostatistics, although interesting applications can be found in environmental sciences and meteorology (e.
Sandra de Iaco
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On the continuity of the vector valued and set valued conditional expectations
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we study the dependence of the vector valued conditional expectation (for both single valued and set valued random variables), on the σ–field and random variable that determine it. So we prove that it is continuous for the L1(X) convergence
Nikolaos S. Papageorgiou
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