Results 1 to 10 of about 733 (56)
Validation of locomotion scoring as a new and inexpensive technique to record circadian locomotor activity in large mammals. [PDF]
Heliyon, 2018 Background: The locomotor activity (LA) rhythm, widely studied in rodents, has not been fully investigated in large mammals. This is due to the high cost and the brittleness of the required devices.
Farsi H +7 more
europepmc +2 more sources
Triviality of differential Galois cohomology of linear differential algebraic groups. [PDF]
Commun Algebra, 2019 Minchenko A, Ovchinnikov A.
europepmc +2 more sources
Free Proalgebraic Groups [PDF]
Épijournal de Géométrie Algébrique, 2020 Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems.
Michael Wibmer
doaj +1 more source
Galoisian and qualitative approaches to linear Polyanin-Zaitsev vector fields
Open Mathematics, 2018 In this paper we study a particular parametric family of differential equations, the so-called Linear Polyanin-Zaitsev Vector Field, which has been introduced in a general case in [1] as a correction of a family presented in [2].
Acosta-Humánez Primitivo B. +2 more
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Some definable Galois theory and examples [PDF]
, 2016 We make explicit certain results around the Galois correspondence in the context of definable automorphism groups, and point out the relation to some recent papers dealing with the Galois theory of algebraic differential equations when the constants are ...
Pillay, Anand, Sanchez, Omar Leon
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Galois correspondence theorem for Picard-Vessiot extensions [PDF]
, 2015 In this paper, we generalize the definition of the differential Galois group and the Galois correspondence theorem established previously for Picard-Vessiot extensions of real differential fields with real closed field of constants to any Picard-Vessiot ...
Crespo, Teresa +2 more
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Differential Invariants of Conformal and Projective Surfaces [PDF]
, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Hubert, Evelyne, Olver, Peter J.
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Algebraic and qualitative remarks about the family yy′ = (αxm+k–1 + βxm–k–1)y + γx2m–2k–1
Open Mathematics, 2019 The aim of this paper is the analysis, from algebraic point of view and singularities studies, of the 5-parametric family of differential ...
Rodríguez-Contreras Jorge +2 more
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A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
, 2012 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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Algorithms yield upper bounds in differential algebra
, 2020 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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