Aurel Vlaicu University of Arad Editing House: Journals
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Primality Testing and Factorization by using Fourier Spectrum of the Riemann Zeta Function
Full text linkIn number theory, integer factorization is the decomposition of a composite number into a product of smallerintegers, for which there is not known ecient algorithm. In this article, the author tries to make primality testingand factorization of integers by using Fourier transform of a correlation function generated from the Riemann zetafunction. From the theoretical analysis, we can see that prime factorization for the integer composed of two dierentprimes can be conducted within a polynomial time and it can be seen that this special case belongs to the P class
Further on Fuzzy Pseudo Near Compactness and ps-ro Fuzzy Continuous Functions
Full text linkMain objective of this paper is to study further properties of fuzzy pseudo near compactness via ps-ro closed fuzzysets, fuzzy nets and fuzzy filterbases. It is shown by an example that ps-ro fuzzy continuous and fuzzy continuousfunctions do not imply each other. Several characterizations of ps-ro fuzzy continuous function are obtained in termsof a newly introduced concept of ps-ro interior operator, ps-ro q-nbd and its graph
On a Class of Harmonic Univalent Functions Defined by Using a New Dierential Operator
Full text linkIn this paper, a new class of complex-valued harmonic univalent functions defined by using a new dierentialoperator is introduced. We investigate coecient bounds, distortion inequalities, extreme points and inclusion resultsfor this class
Co-Universal Algebraic Extension with Hidden Parameters
Full text linkIn the research of underlying algebraic structures of real world phenomena, we can find some behavior anomaliesthat depend on external parameters that are not ruled by their axiom systems. These are not visible straightawayand we have to deduce their existence from the eects they cause. To add them in mathematical constructions, weintroduce co-universal extensions of algebras and co-algebras based upon the dual construction of the Kleisli categoryassociated to a monad.To illustrate this topic we introduce two applications. The first one is an artificial example. In the second applicationwe analyze language algebraic structures with a method that states a bridge between language and logic blindly,that is to say, handling statements through their expressions in those languages satisfying some adequate conditions,and disregarding their meanings
Proximal Cech Complexes in Approximating Digital Image Object Shapes. Theory and Application
Full text linkThis article introduces proximal Cech complexes in approximating object shapes in digital images. The theoreticalframework is based on Cech complexes and proximity spaces. Several topological structures are defined forthe Cech nerve based covers of a finite region of Euclidean plane. We define k-petals and k-corollas which are thegeneralizations of spokes and maximal nuclear clusters. We extend the classical notion of a proximity as a binaryrelation, to arbitrary number of sets. A new shape signature based on the distribution of orders of Cech nerves isdefined. A practical application of this framework in approximating object shapes in digital images is given
A Proof of a Generic Fibonacci Identity From Wolfram’s MathWorld
Full text linkThe generic identity involving the Fibonacci numbers, where C denotes the binomial coefficient counting the number of choices of elements from a set of k elements, is attributed on Wolfram’s MathWorld website to a personal communication from Aleksandrs Mihailovs. In spite of a very thorough search, we have been unable to find a published proof. We present here a combinatorial proof of our own, using the methods of Benjamin, Eustis and Plott
A Common Fixed Point Theorem in Cone Metric Spaces over Banach Algebras
Full text linkIn this paper, a common fixed point theorem for four mappings in cone metric spaces over Banach algebras isproved without assuming the normality of underlying cone. The results of this paper unify, generalize and extend someknown results in cone metric spaces over Banach algebras. An example is presented which shows the significance ofthe result proved herein
Pilot Study In Calcified Tendinopathy Of The Shoulder: The Importance Of Targeted Ultrasound-Guided Shock Wave Treatment: 10.62591/ajpa.2025.13.10
No full textCalcific tendinopathy of the shoulder is a degenerative disorder marked by calcium accumulation within the rotator cuff tendons, most commonly involving the supraspinatus tendon. This condition is a frequent source of persistent shoulder pain and reduced function, with reported prevalence among symptomatic individuals ranging from 2.5% to 54% (Uhthoff, Sarkar, & Maynard, 1976). A variety of non-surgical treatments are available, including nonsteroidal anti-inflammatory drugs (NSAIDs), physical therapy, corticosteroid injections, and, in resistant cases, surgery. Recently, extracorporeal shock wave therapy (ESWT) has gained attention as a promising non-invasive treatment option (Brindisino, Marruganti, Lorusso, Cavaggion, & Ristori, 2024). This randomized, controlled, prospective study aimed to be a pilot study in assessing the therapeutic effectiveness of r-ESWT in managing calcific tendinopathy of the shoulder. Two ESWT techniques were compared: one guided by ultrasound to target calcific deposits directly, and the other based on anatomical landmarks focusing on the supraspinatus tendon origin. Materials and Methods: The study included twenty-one patients diagnosed with calcific tendinopathy, randomly divided into two treatment groups. Each participant received three ESWT sessions, with 2000 pulses delivered at 2.2 bars pressure, using an energy level of 5 and frequency of 8Hz. Clinical progress was evaluated using the Constant-Murley Shoulder Outcome Score (CMS) at 12 weeks and six months following treatment. Additionally, ultrasound imaging was used to monitor changes in the calcium deposits.Results: Patients treated with ultrasound-guided ESWT showed better clinical and imaging results than those who received the landmark-based treatment. The ultrasound-guided group experienced greater pain reduction and functional improvement, along with a significantly higher rate of complete resolution of calcific deposits.Conclusions: These results highlight the critical role of accurate targeting in maximizing the effectiveness of r-ESWT for shoulder calcific tendinopathy (Haake, Deike, Thon, & Schmitt, 2002)
“ADAPTIVE METACOGNITIVE PAUSES” IN EDUCATIONAL GAMES: FROM SELF-REGULATION TO TRANSFER : 10.24250/jpe/2/2025/MMM/
No full textThis research aims to investigate the impact of adaptive metacognitive pauses integrated into educational games on the development of cognitive awareness and self-regulation in middle school students. The study aimed to evaluate the influence of the intervention on scores on the Metacognitive Awareness Inventory (MAI), analyze observable self-regulation behaviors, examine performance on transfer tasks, and explore the relationship between the frequency of interventions and the level of metacognition at posttest. The sample consisted of 60 students (grades VIVIII), randomly assigned to two groups: experimental (n=30), which used the educational game with adaptive metacognitive breaks, and control (n=30), which underwent the same activity but with neutral breaks. The intervention lasted six weeks, with two 30–40-minute sessions per week. Data were collected using the MAI questionnaire, game telemetry (revision rate, reflection duration, feedback use), transfer tests (immediate, delayed, 4-week follow-up), and a motivation questionnaire. Statistical analysis (SPSS, version 26) included t-tests for independent samples, 2×2 mixed ANOVA, and Pearson correlations. The results indicated robust effects of adaptive breaks. Students in the experimental group showed significant increases in MAI scores (+12.2 points, p<.001, n2=.40), compared to the marginal progress of the control group. They also exhibited superior self-regulatory behaviors (more frequent revision, longer reflection, more active use of feedback), with large effects (d>1.4). Performance on transfer tasks was significantly higher in the experimental group, both at posttest (near and far transfer) and at follow-up, confirming the persistence of the effects. In addition, correlational analysis revealed a strong positive relationship between the frequency of adaptive interventions and posttest MAI scores (r=.62, p<.001).The conclusions highlight that adaptive metacognitive pauses can be an effective pedagogical too
INFLUENCE OF TEACHERS’ MOTIVATION ON STUDENTS’ ACADEMIC PERFORMANCE AMONG SENIOR SECONDARY SCHOOL STUDENTS’ IN OSUN STATE: 10.24250/jpe/2/2025/AOA/ARO/
No full textThe study investigated the impact of teachers' motivation onsenior secondary school students' academic performance inOsun State, Nigeria. The study's objectives are to examinehow teachers' motivation influence the academicperformance of secondary school students in OsunStatedue toow performance in examinations. The studyemployed a descriptive survey research design. Threehundred and twenty-four r (324), one hundred and eight(108) teachers, and two hundred and sixteen (216) studentsrandomly drawn from 18 secondary schools constituted thestudy sample. Two valid and reliable instruments wereused to collect data from the study. These include: anadapted Questionnaire on Influence of Teachers’Motivation (TMQ), which was subjected to PearsonProduct-Moment Correlation (PPMC) to establish thereliability index of the instrument at 0.85, and AcademicPerformance Test in Civic Education, Mathematics andEnglish language (AACME). The research question wasanalyzed with descriptive statistics. while the researchhypotheses were analyzed with t-test and Pearson’sProduct-Moment Correlation. The result of the studyrevealed that teachers' motivation is influenced by a rangeof factors, including the teaching environment, schoolresources, promotion opportunities, salary, andrecognition. The result revealed a weak, positiverelationship (r = 0.118, p > 0.05) between teachermotivation and students' academic performance;insignificant difference between young and old teachers'motivation. The study recommended the present teachers’motivation should be sustained among secondary schoolteachers in Osun State, Nigeria because it does not negatively affect students’ academic performance. It is alsosuggested that teachers' motivation be strengthened, as thiscontinues to increase positive teacher commitment as theworking conditions are upgraded to make them moreappealing