A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero: the differential counterpart of the still open Schanuel's conjecture about the exponential function over the field of complex numbers [11, page 30].
Kuhlmann, Salma +2 more
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Divergence-free polynomial derivations [PDF]
In this paper we present some new and old properties of divergences and divergence-free ...
Nowicki, Andrzej
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Algorithms yield upper bounds in differential algebra
Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing.
Li, Wei +3 more
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Classical nonintegrability of a quantum chaotic SU(3) Hamiltonian system
We prove nonintegrability of a model Hamiltonian system defined on the Lie algebra $\mathfrak{su}_3$ suitable for investigation of connections between classical and quantum characteristics of chaos.Comment: 17 ...
Adam Sawicki +30 more
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Castanea sativa mill. flowers as a source of bioactive phenolic compounds [PDF]
In the Trás-os-Montes region of Portugal and across a good part of the Mediterranean countries, chestnut trees are a considerable part of the landscape.
Barros, Lillian +5 more
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Nonautonomous Hamiltonian Systems and Morales-Ramis Theory I. The Case $\ddot{x}=f(x,t)$
In this paper we present an approach towards the comprehensive analysis of the non-integrability of differential equations in the form $\ddot x=f(x,t)$ which is analogous to Hamiltonian systems with 1+1/2 degree of freedom.
Morales-Ruiz J. J. +3 more
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj +1 more source
Analyses physico-chimiques des eaux de la Lagune Ebrié effectuées de 1979 à 1981 au cours des programmes "Variabilité interannuelle" et "Baie de Biétri" [PDF]
Physico-chemical data collections aimed to assess the interannual variability of the lagoon hydroclimate and the impact of an airport dam on the water quality of the Ebrié ...
Chantraine, J.M., Djedje, R., Guiral, D.
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Créer les conditions de possibilité de la réussite de tous les élèves [PDF]
National ...
Guével, Marie-Renée +3 more
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Extensions of differential representations of SL(2) and tori
Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which LDAGs are Galois groups.
Alexey Ovchinnikov +5 more
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