Results 1 to 10 of about 71 (42)
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.
H. Farsi +7 more
doaj +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
A partial factorization of the powersum formula
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 58, Page 3075-3101, 2004., 2004 For any univariate polynomial P whose coefficients lie in an ordinary differential field 𝔽 of characteristic zero, and for any constant indeterminate α, there exists a nonunique nonzero linear ordinary differential operator ℜ of finite order such that the αth power of each root of P is a solution of ℜzα = 0, and the coefficient functions of ℜ all lie ...
John Michael Nahay
wiley +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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Differential resolvents of minimal order and weight
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 54, Page 2867-2893, 2004., 2004 We will determine the number of powers of α that appear with nonzero coefficient in an α‐power linear differential resolvent of smallest possible order of a univariate polynomial P(t) whose coefficients lie in an ordinary differential field and whose distinct roots are differentially independent over constants.
John Michael Nahay
wiley +1 more source
Completeness of Finite-Rank Differential Varieties
Bulletin of Symbolic Logic, 2019 In this dissertation, I focus on a program in the philosophy of mathematics known as neo-logicism that is a direct descendant of Frege’s logicist project.
William D. Simmons
semanticscholar +1 more source
Powersum formula for polynomials whose distinct roots are differentially independent over constants
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 12, Page 721-738, 2002., 2002 We prove that the author′s powersum formula yields a nonzero expression for a particular linear ordinary differential equation, called a resolvent, associated with a univariate polynomial whose coefficients lie in a differential field of characteristic zero provided the distinct roots of the polynomial are differentially independent over constants.
John Michael Nahay
wiley +1 more source
Rings and fields of constants of cyclic factorizable derivations
Analytic and Algebraic Geometry 3, 2019 We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero. 1.
J. Zieliński
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Multivariable dimension polynomials and new invariants of differential field extensions
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 4, Page 201-214, 2001., 2001 We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin′s theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.
Alexander B. Levin
wiley +1 more source
Divergence-free polynomial derivations
, 2017 In this paper we present some new and old properties of divergences and divergence-free derivations. Throughout the paper all rings are commutative with unity. Let k be a ring and let d be a k-derivation of the polynomial ring k[X] = k[x1, . . .
A. Nowicki
semanticscholar +1 more source