Results 21 to 30 of about 517,569 (314)

Generators of maximal orders

open access: yesJournal of Algebra, 2015
Let R be the ring of algebraic integers in a number field K and let L be a maximal order in a semisimple K-algebra B. Building on our previous work, we compute the smallest number of algebra generators of L considered as an R-algebra. This reproves and vastly extends the results of P.A.B. Pleasants, who considered the case when B is a number field.
Kravchenko, Rostyslav   +2 more
openaire   +2 more sources

Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]

open access: yes, 2018
Fractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional ...
Cao, Jinde   +11 more
core   +1 more source

Generalization of Proximate Order and Applications [PDF]

open access: yesComputational Methods and Function Theory, 2021
We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order of growth are different. We prove an existence theorem of a quasi proximate order, i.e. a counterpart of Valiron's theorem for a proximate order.
Chyzhykov, Igor   +2 more
openaire   +2 more sources

The growth of the maximal term of Dirichlet series

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Let $\Lambda$ be the class of nonnegative sequences $(\lambda_n)$ increasing to $+\infty$, $A\in(-\infty,+\infty]$, $L_A$ be the class of continuous functions increasing to $+\infty$ on $[A_0,A)$, $(\lambda_n)\in\Lambda$, and $F(s)=\sum a_ne^{s\lambda_n}$
P.V. Filevych, O.B. Hrybel
doaj   +1 more source

Corner Detection Using Second-Order Generalized Gaussian Directional Derivative Representations

open access: yes, 2021
Corner detection is a critical component of many image analysis and image understanding tasks, such as object recognition and image matching. Our research indicates that existing corner detection algorithms cannot properly depict the difference between ...
Sun, Changming, Zhang, Weichuan
core   +1 more source

Acceptability with General Orderings

open access: yes, 2002
To appear in "Computational Logic: From Logic Programming into the Future"
De Schreye, Danny, Serebrenik, Alexander
openaire   +3 more sources

On the generalized Jacobi equation. [PDF]

open access: yes, 2008
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
core   +1 more source

The Möbius function of generalized subword order [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
Let $P$ be a poset and let $P^*$ be the set of all finite length words over $P$. Generalized subword order is the partial order on $P^*$ obtained by letting $u≤ w$ if and only if there is a subword $u'$ of $w$ having the same length as $u$ such that ...
Peter R. W. McNamara, Bruce E. Sagan
doaj   +1 more source

Perturbations of general relativity to all orders and the general nth order terms

open access: yesJournal of High Energy Physics, 2023
Abstract We derive all-order expressions for perturbations of the Einstein-Hilbert action and the Einstein equation with the general n-th order terms. To this end, we employ Cheung and Remmen’s perturbation conventions both in tensor density and the usual metric tensor formalisms, including the Einstein-dilaton theory.
Cho, Kyoungho   +2 more
openaire   +4 more sources

On generalized hyperharmonic numbers of order r, Hʳₙ,ₘ(σ) [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this paper, we define generalized hyperharmonic numbers of order r, Hₙₘʳ(σ), for m∈ℤ⁺ and give some applications by using generating functions of these numbers.
Sibel Koparal   +2 more
doaj   +1 more source

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