Modified Cauchy Problem with Impulse Action for Parabolic Shilov Equations by Galina Unguryan

“…For parabolic Shilov equations with continuous coefficients, the problem of finding classical solutions that satisfy a modified initial condition with generalized data such as the Gelfand and Shilov distributions is considered. …”
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Cubical Sets and Trace Monoid Actions by Ahmet A. Husainov

“…We prove that the category of trace monoids is isomorphic to the category of generalized tori and it is a reflective subcategory of the category of cubical sets. …”
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The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation by Farah M. Al-Askar, Wael W. Mohammed, M. El-Morshedy

“…Our goal in this paper is to find the analytical solutions for SFSBs’E via the G′/G-expansion method. Also, we generalize some previously results where this equation was not studied before with fractional space and multiplicative noise in the itô sense. …”
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Acute Inferior Wall Myocardial Infarction due to Occlusion of the Wrapped Left Anterior Descending Coronary Artery by Thottuvelil Narayanan Sunil Roy, Jafar Saeed Nagham, Rajappan Anil Kumar

“…Acute occlusion of the left anterior descending coronary artery (LAD) generally results in ST segment elevations in precordial leads and reciprocal ST segment depression in inferior leads. …”
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A note on the support of right invariant measures by N. A. Tserpes

“…It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to generalize a theorem of A. Mukherjea and the author (with a new proof) to the effect that the support of an r*-invariant measure is a left group iff the measure is right invariant on its support.…”
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3D Winding Number: Theory and Application to Medical Imaging by Alessandro Becciu, Andrea Fuster, Mark Pottek, Bart van den Heuvel, Bart ter Haar Romeny, Hans van Assen

“…It is based on a topological number, which is the generalization to three dimensions of the 2D winding number. …”
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REGULATORY TRANSCRIPTION FACTORS MAY PARTICIPATE IN POST-INITIATION CONTROL OF TRANSCRIPTION by V. M. Merkulov, T. I. Merkulova

“…Recruitment of the RNA-polymerase II transcription initiation apparatus to promoters by regulatory transcription factors is generally recognized as the key mechanism responsible for transcription control by these proteins. …”
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Thermodynamics in f(T) Gravity with Nonminimal Coupling to Matter by Tahereh Azizi, Najibeh Borhani

“…In the present paper, we study the thermodynamics behavior of the field equations for the generalized f(T) gravity with arbitrary coupling between matter and the torsion scalar. …”
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Nearly Derivations on Banach Algebras by M. Eshaghi Gordji, H. Khodaei, G. H. Kim

“…We investigate the Hyers-Ulam stability of derivations on Banach algebras related to the following generalized Cauchy functional inequality ‖∑1≤𝑖<𝑗≤𝑛1≤𝑘𝑙≠𝑖,𝑗≤𝑛𝑓((𝑥𝑖+𝑥𝑗∑)/2+𝑛−2𝑙=1𝑥𝑘𝑙∑)+𝑓(𝑛𝑖=2𝑥𝑖)+𝑓(𝑥1∑)‖≤‖𝜆𝑓(𝑛𝑖=1𝑥𝑖)‖.…”
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Stability Analysis of Distributed Order Fractional Chen System by H. Aminikhah, A. Refahi Sheikhani, H. Rezazadeh

“…We first investigate sufficient and necessary conditions of stability of nonlinear distributed order fractional system and then we generalize the integer-order Chen system into the distributed order fractional domain. …”
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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials by Fatma Taşdelen, Rabia Aktaş, Abdullah Altın

“…We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. …”
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The responsibility of news organizations in the use of algorithms by David Parra, Concha Edo, Almudena Rodríguez

“…The information industry began to use algorithms in its production processes as a result of the generalization of this kind of tools in the large corporations dominating the current digital economy ; and in the areas of content search, social networks or electronic commerce. …”
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Willmore-Like Tori in Killing Submersions by Manuel Barros, Óscar J. Garay, Álvaro Pámpano

“…The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a Killing submersion. A connection with generalized elastica in the base surface of the Killing submersion is found, which is exploited to analyze Willmore tori in Killing submersions and to construct foliations of Killing submersions made up of Willmore tori with constant mean curvature.…”
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A Weak Comparison Principle for Reaction-Diffusion Systems by José Valero

“…We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay. …”
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Exponentially Convex Functions on Hypercomplex Systems by Buthinah A. Bin Dehaish

“…The definition of such functions is a natural generalization of that defined on semigroup.…”
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Combinatorial polarization, code loops, and codes of high level by Petr Vojtechovský

“…We then simplify and generalize a certain construction, due to Chein and Goodaire, that was used in characterizing code loops as finite Moufang loops that possess at most two squares. …”
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Fixed points of a certain class of mappings in spaces with uniformly normal structure by Jong Soo Jung, Balwant Singh Thakur, Daya Ram Sahu

“…A fixed point theorem is proved in a Banach space E which has uniformly normal structure for asymptotically regular mapping T satisfying: for each x,y in the domain and for n=1,2,⋯,‖Tnx−Tny‖≤an‖x−y‖+bn(‖x−Tnx‖+‖y−Tny‖)+cn(‖x−Tny‖+‖y−Tny‖), where an,bn,cn are nonnegative constants satisfying certain conditions. This result generalizes a fixed point theorem of Górnicki [1].…”
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Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces by Poom Kumam, Thanyarat Jitpeera

“…Strong convergence of the proposed iterative algorithm is obtained. Our results generalize, extend, and improve the results of Peng and Yao, 2009, Qin et al. 2010 and many authors.…”
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L’apport du diagnostic archéologique pour la lecture d’un bâti « ordinaire » : l’église de Nozières (Cher) by Victorine Mataouchek

“…This study shows how useful it would be to generalize the archaeological investigation of these so-called « minor elements » which, however, constitute the bulk of the monumental landscape.…”
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Multisource Thermal Model Describing Transverse Momentum Spectra of Final-State Particles in High-Energy Collisions by Fu-Hu Liu, Jia-Yu Chen, Qiang Zhang

“…The concrete mode of contribution is generally determined by the difference of azimuthal angles of contributor partons in their emissions.…”
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