Results 21 to 30 of about 304 (49)
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 đœ of characteristic zero, and for any constant indeterminate α, there exists a nonunique nonzero linear ordinary differential operator â of finite order such that the αth power of each root of P is a solution of âzα = 0, and the coefficient functions of â all lie ...
John Michael Nahay
wiley +1 more source
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 αâpower 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
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 authorâČs 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
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 KolchinâČs 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
On the canonical connection for smooth envelopes
, 2013 A notion known as smooth envelope, or superposition closure, appears naturally in several approaches to generalized smooth manifolds which were proposed in the last decades. Such an operation is indispensable in order to perform differential calculus.
Moreno, Giovanni
core +2 more sources
FREE ACTIONS OF SEMIPRIME RINGS WITH INVOLUTION INDUCED BY A DERIVATION
, 2005 Let R be an associative ring. An element a G R is said to be dependent of a mapping F : R â> R in case F (x)a = ax holds for all x ⏠R. A mapping F : R â> R is called a free action in case zero is the only dependent element of F.
J. Vukman
semanticscholar +1 more source
A Note About the Nowicki Conjecture on Weitzenböck Derivations [PDF]
, 2009 2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant ...
Bedratyuk, Leonid
core
, 2020 Every subarrangement of Weyl arrangements of type $ B_{\ell} $ is represented by a signed graph. Edelman and Reiner characterized freeness of subarrangements between type $ A_{\ell-1} $ and type $ B_{\ell} $ in terms of graphs.
Torielli, Michele, Tsujie, Shuhei
core +1 more source
Fineâscale reconstruction of pelagic fish migration by isoâlogging of eye lens
Methods in Ecology and Evolution, Volume 17, Issue 1, Page 77-84, January 2026.Abstract Understanding lifetime space use by pelagic animals is pivotal for ecology and fisheries management, but electronic tags are costly, labourâintensive and rarely able to capture juvenile movement. We implemented an isoâlogging workflow that converts stable isotope chronologies in eye lenses into continuous migration tracks, and demonstrate its ...
Jun Matsubayashi +8 more
wiley +1 more source
Hasse--Schmidt derivations versus classical derivations
, 2020 In this paper we survey the notion and basic results on multivariate Hasse--Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under the
NarvĂĄez-Macarro, L.
core +1 more source