Aurel Vlaicu University of Arad Editing House: Journals
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Modeling Evolution by Evolutionary Machines: A New Perspective on Computational Theory and Practice
Get PDFThe main goal of this paper is the further development of the foundations of evolutionary computations, connectingclassical ideas in the theory of algorithms and the contemporary state of art in evolutionary computations.To achieve this goal, we develop a general approach to evolutionary processes in the computational context, buildingmathematical models of computational systems, called evolutionary machines or automata. We introduce twoclasses of evolutionary automata: basic evolutionary automata and general evolutionary automata. Relations betweencomputing power of these classes are explored. Additionally, several other classes of evolutionary machines are investigated,such as bounded, periodic and recursively generated evolutionary machines. Dierent properties of theseevolutionary machines are obtained
On a New BV_sigma I-Convergent Double Sequence Spaces
No full textIn this article, we study z_0(BV_sigma^I (M)), BV_sigma^I (M), z_alpha(BV_sigma^I (M)) double sequence spaces with the help of BV_sigma space and an Orlicz function M. The BV_sigma space was introduced and studied by (Mursaleen, 1983). We study some of its properties and prove some inclusion relations
Introduction to Non-Diophantine Number Theory
Get PDFIn the 19th century, non-Euclidean geometries were discovered and studied. In the 20th century, non-Diophantinearithmetics were discovered and studied. Construction of non-Diophantine arithmetics is based on more generalmathematical structures, which are called abstract prearithmetics, as well as on the projectivity relation betweenabstract prearithmetics. In a similar way, as set theory gives a foundation for mathematics, the theory of abstractprearithmetics provides foundations for the theory of the Diophantine and non-Diophantine arithmetics. In this paper,we use abstract prearithmetics for developing fundamentals of non-Diophantine number theory, which can be alsocalled non-Diophantine higher arithmetic as the conventional number theory is called higher arithmetic. In particular,we prove the Fundamental Theorem of Arithmetic for a wide range of abstract prearithmetics
THE PARADOX OF DIGITAL CONNECTIVITY: GROUP - CENTERED EDUCATION AS A PATHWAY FOR DEVELOPING ESSENTIAL LIFE AND CIVIC SKILLS: 10.24250/jpe/1/2025/RRV/
No full textIn an era defined by unprecedented digital connectivity,individuals appear closer than ever; yet, true connection andsocial interaction remain elusive. This paradox of digitalconnectivity reveals that, while technology promises ease andconnection, it often deepens our reliance on comfort, creating abarrier to genuine interpersonal interactions (Warschauer,2003). Education today faces the immense challenge ofequipping the current generation with essential life and civicskills in a digital landscape that offers minimal support fordeveloping qualities like empathy, collaboration, and resilience(Guerrero Elecalde et al., 2024). Group-centered educationemerges as a response to these limitations, redefining theclassroom into a shared, socially interactive space thatprioritizes group dynamics, empathy, and teamwork overindividualistic learning paths (Desjardins & Wiksten, 2022).Embracing technological evolution is essential, yet educationremains the key to a balanced world, where group-centerededucation can act as a pillar for harmonious and balanceddevelopment, fostering social and civic engagement critical fortoday's learners (CERL Georgetown University, 2024). Thiswork demonstrates that a skilled educator can harness thegroup’s potential remarkably, encouraging collaboration andengagement that foster socially resilient individuals (Fink,2014). By fostering cooperative learning and emphasizing civicengagement, group-centered education reimagines theclassroom as a foundational community for cultivating criticallife and civic skills essential for students to thrive both personallyand socially. Research indicates that when effectively managed,group-centered settings allow students to overcomeindividualistic barriers and promote robust civic engagementand collaborative problem-solving skills (Barron, 2003)
PREMISES FOR SUSTAINABLE ENTREPRENEURIAL DEVELOPMENT OF EASTERN PARTNER COUNTRIES
Get PDFCulture and entrepreneurship are complex and interrelated social concepts. The paper aims todetermine the importance of national culture for entrepreneurship progress in the Eastern Partnership (EaP) region. Thearticle focuses on a meta-analysis of the inputs integrated into a European Union Policy Index. It aimed to underline thenature of specific interrelation mechanisms of the cultural dimensions that could contribute to developing a performantentrepreneurial environment. The correlation analysis used in the paper detects the most ”sensitive” pairs of variablesrelated to national culture and entrepreneurship activities. Results show a highly significant relationship between theMotivation Towards Achievement and Success index and a large part of the dimensions of the sustainable entrepreneurialdevelopment of EaP countries, especially Internationalization and Support Services for Small and Medium EnterprisesSMEs and start-ups. Another significant relationship is between Individualism and the Development of EntrepreneurialActivities in the analyzed countries
How many SU(4)L x U(1)Y Gauge models?
Get PDFWe prove in this letter that the general method of solving gauge models with high symmetries proposed byCotaescu several years ago can predict precisely two distinct classes of SU(4)L x U(1)Y electroweak models. Theirfermion representations with respect to this gauge group are exactly obtained in rach case
The Scale-Curvature Connection and its Application to Texture Segmentation
Get PDFIn this work we establish a theoretical relation between the notions of scale and a discrete Finsler-Haantjes curvature.Based on this connection we demonstrate the applicability of the interpretation of scale in terms of curvature, tosignal processing in the context of analysis and segmentation of textures in images. The outcome of this procedure isa novel scheme for texture segmentation that is based on scaled metric curvature. The presented method proves itselfto be efficient even when the multiscale analysis is done up to scales of 19 and more. Our main conclusions are thatthe discrete curvature calculated on sampled images can give us an indication on the local scale within the image, andtherefore can be used for many additional tasks in image analysis
Third Order Boundary Value Problem with Integral Condition at Resonance
Get PDFThis paper deals with a class of third order boundary value problem with integral condition at resonance. Someexistence results are obtained by using the coincidence degree theory of Mawhin
Possibility of Hypercomputation from the Standpoint of Superluminal Particles
Get PDFIn mathematics and computer science, an accelerated Turing machine is a hypothetical computational modelrelated to Turing machines, which can perform the countable infinite number of computational steps within a finitetime. But this machine cannot be physically realized from the standpoint of the Heisenberg uncertainty principle,because the energy required to perform the computation will be exponentially increased when the computational stepis accelerated and it is considered that it is mere a mathematical concept and there is no possibility for its realizationin a physical world. However, by using superluminal particles instead of subluminal particles including photons, itcan be shown that the hypercomputation system which can perform infinite steps of computation within a finite timelength and energy can be realized
Fractional Order Differential Equations Involving Caputo Derivative
Get PDFIn this paper, the Banach contraction principle and Schaefer theorem are applied to establish new results for theexistence and uniqueness of solutions for some Caputo fractional dierential equations. Some examples are alsodiscussed to illustrate the main results