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Enveloping norms of regularly P-operators in Banach lattices
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2024-07-01)
The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the operator norm. We investigate the enveloping norm ‖S‖r-P=inf{‖T‖:±S≤T∈P} o...
Generating the level 2 subgroup by involutions
Altunöz, Tülin; Monden, Naoyuki; Pamuk, Mehmetcik; Yıldız, Oğuz (2024-04-15)
We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
Noncoprime action of a cyclic group
Ercan, Gülin; Güloğlu, İsmail Ş. (2024-04-01)
Let A be a finite nilpotent group acting fixed point freely on the finite (solvable) group G by automorphisms. It is conjectured that the nilpotent length of G is bounded above by ℓ(A), the number of primes dividing the or...
Nilpotent residual of a finite group
Rodrigues, Eliana; de Melo, Emerson; Ercan, Gülin (2024-03-01)
Let F be a nilpotent group acted on by a group H via automorphisms and let the group G admit the semidirect product FH as a group of automorphisms so that CG(F)=1. We prove that the order of γ∞(G), the rank of γ∞(G) are bo...
Application of Genetic Algorithms for Periodicity Recognition and Finite Sequences Sorting
Zhassuzak, Mukhtar; Akhmet, Marat; Amirgaliyev, Yedilkhan; Buribayev, Zholdas (2024-03-01)
Unpredictable strings are sequences of data with complex and erratic behavior, which makes them an object of interest in various scientific fields. Unpredictable strings related to chaos theory was investigated using a gen...
LS-14 test suite for long sequences
Akcengiz, Ziya; Aslan, Melis; Doğanaksoy, Ali; Sulak, Fatih; Uğuz, Muhiddin (2024-02-29)
Random number sequences are used in many branches of science. Because of many technical reasons and their practicality, pseudo random sequences are usually employed in place of true number sequences. Whether a sequence gen...
Unpredictable solutions of compartmental quasilinear differential equations
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type o...
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct
Tezer, Münevver; Türk, Önder (2024-01-01)
We consider the effect of time dependent magnetic field on the natural convection magnetohydrodynamic flow in a rectangular duct. The flow is two-dimensional, unsteady, laminar and the fluid is electrically conducting and ...
Cohen-Grossberg neural networks with unpredictable and Poisson stable dynamics
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In this paper, we provide theoretical as well as numerical results concerning recurrent oscillations in Cohen-Grossberg neural networks with variable inputs and strengths of connectivity for cells, which are unpredictable ...
Duality and norm completeness in the classes of limitedly Lwc and Dunford–Pettis Lwc operators
ALPAY, Ã–mer Åžafak; Emelyanov, Eduard; GOROKHOVA, Svetlana (2024-01-01)
We study the duality and norm completeness in the new classes of limitedly L-weakly compact and Dunford–Pettis L-weakly compact operators from Banach spaces to Banach lattices.
Asymptotic solutions of differential equations with singular impulses
Aviltay, Nauryzbay; Akhmet, Marat; Zhamanshin, Akylbek (2024-01-01)
The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied ...
Involution generators of the big mapping class group
Altunöz, Tülin; Pamuk, Mehmetcik; Ylldlz, Oǧuz (2024-01-01)
Let S = S(n) denote the infinite-type surface with n ends, n ? N, accumulated by genus. For n = 6, we show that the mapping class group of S is topologically generated by five involutions. When n = 3, it is topologically g...
Geography of surface bundles over surfaces
Baykur, R. İ. Nanç; Korkmaz, Mustafa (2024-01-01)
We construct symplectic surface bundles over surfaces with positive signatures for all but 19 possible pairs of fiber and base genera. Meanwhile, we determine the commutator lengths of a few new mapping classes.
Protecting the Future of Information: LOCO Coding With Error Detection for DNA Data Storage
İrimağzı, Canberk; Uslan, Yusuf; Hareedy, Ahmed (2024-01-01)
From the information-theoretic perspective, DNA strands serve as a storage medium for 4-ary data over the alphabet A,T,G,C. DNA data storage promises formidable information density, long-term durability, and ease of replic...
Graphs of schemes associated to group actions
Kişisel, Ali Ulaş Özgür; Özkan, Engin (2023-12-01)
Let X be a proper algebraic scheme over an algebraically closed field. We assume that atorus T acts on X such that the action has isolated fixed points. The T-graph of X canbe defined using the fixed points and the one-dim...
Contact Symplectic Fibrations and Bundle Contact Structures
Arıkan, Mehmet Fırat (2023-12-01)
We consider a certain type of fiber bundles with odd dimensional connected contact base, exact symplectic fibers, and the structure group contained in the group of exact symplectomorphisms of the fiber. We call such fibrat...
Impacts of Human Activities and Climate Change on Freshwater Fish—Volume II
De Santis, Vanessa; Jeppesen, Erik; Volta, Pietro; Korkmaz, Mustafa (2023-12-01)
ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS
Zheltukhın, Kostyantyn; Zheltukhina, Natalya (2023-12-01)
The problem of discretization of Darboux integrable equations is considered. Given a Darboux integrable continuous equation, one can obtain a Darboux integrable differential-discrete equation, using the integrals of the co...
Deferred correction method for the continuous data assimilation model
AĞGÜL, MUSTAFA; Çıbık, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (2023-10-01)
This paper presents a numerical assessment of a continuous data assimilation (CDA) model for incompressible Navier–Stokes equations. The proposed model employs the deferred correction method, which is an approach to increa...
DRBEM solution of singularly perturbed coupled MHD flow equations
Arslan, Sinem; Tezer, Münevver (2023-10-01)
In this study, the numerical solution of singularly perturbed magnetohydrodynamic (MHD) flow in a square duct with no-slip, and insulated or perfectly conducting walls is investigated by using the Dual Reciprocity Boundary...
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