Results 21 to 30 of about 517,569 (314)
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
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Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]
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]
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
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The growth of the maximal term of Dirichlet series
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
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
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]
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]
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
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]
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

