Aurel Vlaicu University of Arad Editing House: Journals
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    FROM LOCAL TRADITIONS TO DIGITAL STORIES TO CULTIVATE EMPATHY AND CULTURAL AWARENESS: 10.24250/jpe/1/2025/DRC/

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    Integrating digital storytelling into cultural education is aninnovative approach to cultivating empathy and culturalawareness among students. This study explores how children canbe actively involved in documenting local traditions andtransforming them into creative digital narratives. By combiningstorytelling techniques with accessible digital tools, students areencouraged to interact with community members, discover thevalue of their cultural heritage, and develop essential emotionaland social skills. The results of the research highlight the impactof these activities on empathy, collaboration and appreciation ofdiversity. The findings underscore that such educationalinitiatives not only enrich students' understanding of theircultural roots, but also equip them with transferable skillsneeded in the digital age. The paper emphasizesof integrating active and creative methodologies into culturaleducation in order to ensure a balanced socio-emotionaldevelopment and a deeper connection with cultural identity

    A Short Note Certain New Classes of Analytic and Univalent Functions in the Unit Disk

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    We introduce the classes H(w; a) and K(w; a) of analytic functions with negative coeffcients. In this work we give some properties of functionsin these classes and we obtain coeffcient estimates, neighborhood and integral means inequalities for function f (z) belonging to these classes

    On Some I-Convergent Sequence Spaces Defined by a Modulus Function

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    In this article we introduce the sequence spaces cI0( f ), cI ( f ) and lI1 ( f ) for a modulus function f and study some of theproperties of these spaces

    GPS Satellite Range and Relative Velocity Computation

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    In this work the estimation of a Global Positioning System satellite orbit is considered. The range and relative velocity of thesatellite is computed in the observer’s local reference frame (topocentric system of coordinates) by including the Earth gravitationalperturbations (up to J3 term) and the solar radiation pressure. Gauss perturbation equations are used to obtain the orbital elementsas a function of time, from which the position vector is derived

    Steady Non Isothermal Two-Dimensional Flow of Newtonian Fluid in a Stenosed Channel

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    In this paper, the steady two-dimensional motion of an incompressible Newtonian fluid between two parallelplates with heat transfer in the presence of a cosine shaped stenosis is studied. The governing equations are transformedinto a compatibility and energy equations, which is solved analytically with the help of the regular perturbationtechnique. The solutions obtained from the present analysis are given in terms of streamlines, wall shear stress, separationand reattachment points, pressure and temperature distributions through the stenosed channel. The accuracyof the results are verified from available literature. It is found that the wall shear stress, pressure gradient and temperatureincrease with the development of the stenosis, causing separation and reattachment points in the region. It isalso observed that even at low velocity, separation occurs if the thickness of the stenosis is increased. We present theresults in graphical form

    Some Fixed Point Theorems for Ordered F-generalized Contractions in 0- f -orbitally Complete Partial Metric Spaces

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    We prove some fixed point theorems for ordered F-generalized contractions in ordered 0- f -orbitally completepartial metric spaces. Our results generalize some well-known results in the literature, in particular the recent result ofWardowski [Fixed Point Theory Appl. 2012:94 (2012)] from metric spaces to ordered 0- f -orbitally complete partialmetric spaces. Some examples are given which illustrate the new results

    Sixth Order Multiple Coarse Grid Computation for Solving 1D Partial Differential Equation

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    We present a new method using multiple coarse grid computation technique to solve one dimensional (1D) partialdifferential equation (PDE). Our method is based on a fourth order discretization scheme on two scale grids andthe Richardson extrapolation. For a particular implementation, we use multiple coarse grid computation to computethe fourth order solutions on the fine grid and all the coarse grids. Since every fine grid point has a correspondingcoarse grid point with fourth order solution, the Richardson extrapolation procedure is applied for every fine gridpoint to increase the order of solution accuracy from fourth order to sixth order. We compare the maximum absoluteerror and the order of solution accuracy for our new method, the standard fourth order compact (FOC) scheme andWang-Zhang’s sixth order multiscale multigrid method. Two convection-diffusion problems are solved numericallyto validate our proposed method

    Sparse and Robust Signal Reconstruction

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    Many problems in signal processing and statistical inference are based on finding a sparse solution to an undetermined linear system. The reference approach to this problem of finding sparse signal representations, on overcomplete dictionaries, leads to convex unconstrained optimization problems, with a quadratic term l2, for the adjustment to the observed signal, and a coefficient vector l1 norm. This work focuses on the development and experimental analysis of an algorithm for the solution of lq lp optimization problems, where p is in the range of zero to one and q is in the range of one to two, of which l2 l1 is an instance. The developed algorithm belongs to the majorization minimization class, where the solution of the problem is given by the minimization of a progression of majorizers of the original function. Each iteration corresponds to the solution of an l2 l1 problem, solved by the projected gradient algorithm. When tested on synthetic data and image reconstruction problems, the results show good performance of the implemented algorithm, both in compressed sensing and signal restoration scenarios

    Second Hankel Determinant for Generalized Sakaguchi Type Functions

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    In this paper, we have obtained sharp upper bounds for the functional modulus of a two four minus a two squared belonging to a new subclass of generalized Sakaguchi type functions introduced by Frasin 2010

    Rényi Entropy in Measuring Information Levels in Voronoï Tessellation Cells with Application in Digital Image Analysis

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    Aurel Vlaicu University of Arad Editing House: Journals
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