In modern intelligent manufacturing, spindle thermal errors are critical to machining accuracy. To address this, we propose a two-stage prediction framework. First, for feature selection, an enhanced Red-Billed Magpie Optimization algorithm (RBMO-X) optimizes the parameters of a hybrid convolutional neural network (DLTK). Concurrently, PSO-optimized HDBSCAN clustering combined with Pearson correlation selects optimal temperature-sensitive points. The DLTK network integrates LSTM, deformable convolution, Transformer, and Fourier KAN modules for robust spatiotemporal feature extraction. The experimental results demonstrate significant improvements. The proposed feature selection method improves the Silhouette index by 32.39% and increases BWP by 49.16%. Using the selected points reduces prediction RMSE by 31.89% compared to random selection. The final RBMO-X-DLTK model achieves an RMSE of 0.181 μm, an MAE of 0.128 μm, and an R<sup>2</sup> score of 0.9978, outperforming seven benchmark models (e.g., BP, LSTM, CNN-LSTM). In practical validation, the model enabled an average thermal error reduction of 89%. This integrated approach provides a robust and accurate solution for spindle thermal error prediction, demonstrating strong generalization capability.
The main objective of this research is to provide an efficient computational algorithm for solving a class of fractional order pantograph delay-integro-differential equations. The Bernstein approximation technique is employed for approximating the solutions of such equations by taking into account the properties of Bernstein polynomials, which transform the original problem into a simplified linear system of algebraic equations. The formulation of the suggested scheme is carefully described, and its convergence performance is examined. Both existence and uniqueness theorems are provided to establish the theoretical reliability of the methodology. Additionally, an estimation of the error bounds is reported to evaluate the precision of the approximation. The reliability, stability and computational effectiveness of the algorithm developed are confirmed by a series of numerical experiments. A comparative analysis with other available methodologies and analytical solutions further highlights the practicality and robustness of the new technique, offering reduced computational and memory costs.
Angel Deroncele-Acosta, Rosa María Elizabeth Sayán-Rivera, Angel Deciderio Mendoza-López
et al.
Generative AI is an emerging tool in higher education; however, its connection with transversal competencies, as well as their sustainable adoption, remains underexplored. The study aims to analyze the scientific and conceptual development of generative artificial intelligence in higher education to identify the most relevant transversal competencies, strategic processes for its sustainable implementation, and global trends in academic production. A systematic literature review (PRISMA) was conducted on the Web of Science, Scopus, and PubMed, analyzing 35 studies for narrative synthesis and 897 publications for bibliometric analysis. The transversal competencies identified were: Academic Integrity, Critical Thinking, Innovation, Ethics, Creativity, Communication, Collaboration, AI Literacy, Responsibility, Digital Literacy, AI Ethics, Autonomous Learning, Self-Regulation, Flexibility, and Leadership. The conceptual framework connotes the interdisciplinary nature and five key processes were identified to achieve the sustainable integration of Generative AI in higher education oriented to the development of transversal competencies: (1) critical and ethical appropriation, (2) institutional management of technological infrastructure, (3) faculty development, (4) curricular transformation, and (5) pedagogical innovation. On bibliometric behavior, scientific articles predominate, with few systematic reviews. China leads in publication volume, and social sciences are the most prominent area. It is concluded that generative artificial intelligence is key to the development of transversal competencies if it is adopted from a critical, ethical, and pedagogically intentional approach. Its implications and future projections in the field of higher education are discussed.
The incorporation of fuzzy analysis in the mathematical modeling of disease outbreaks has brought a paradigm shift in epidemiological research, offering a sophisticated approach to understanding and addressing the complexities inherent in disease dynamics. Unlike traditional mathematical models, which often rely on deterministic assumptions and precise parameter values, fuzzy analysis provides a flexible framework capable of accommodating uncertainty and imprecision within epidemiological systems. This paper presents a novel SVEIR-SEI compartmental model for dengue disease where five key parameters such as transmission rate, mortality rate, recovery rate, biting rate, and vaccination rate are treated as fuzzy numbers. Among these, transmission rate, mortality rate, and recovery rate are defined as a function of virus load whereas biting rate and vaccinations rate are defined as a function of number of bed net users and media awareness regarding vaccination, respectively. Crisp reproduction number is determined using next generation matrix method and hence fuzzy reproduction number is derived as a triangular fuzzy number (TFN). Numerical results show that biting rate and vaccination rate are the two most sensitive parameters to crisp reproduction number. We also examine the impact of using bed nets and media awareness regarding vaccination on the model system under fuzzy environment. It is found that using bed nets is a more effective strategy for dengue control than media coverage regarding vaccination.
Syaima' Khairudin, Nor Azuana Ramli, Lilik Jamilatul Awalin
Some Malaysians hold stocks or mutual funds, and majority of them are new investors. Bursa Malaysia’s CEO stated that based on stock exchange data up to 2022, there are 80.8 million units of odd lot shares in Central Depository System (CDS) accounts, which has been expanding over the years. However, many people still need to learn how to use technical indicators for investing. Even though many researchers have used the Relative Strength Index (RSI) and Moving Average Convergence-Divergence (MACD) on other stock markets throughout the globe, there are limited studies that have been utilizing both indicators in the Malaysian stock market. This study mainly focuses on developing predictive modeling for individual investors, specifically RSI and MACD indicators on conventional Malaysian stock. Our research hypothesis is that the machine learning (ML) approach, the Long Short-Term Memory (LSTM) technique, can predict the Malaysian stock market. By combining the RSI and MACD indicators with LSTM, this study explores the possibilities of timing (buy and sell signals) in Malaysian stock market. This study used daily data gathered from the KLCI Index from 2011 until 2021. Performance metrics, including mean return, standard deviation risk ratio, and Sharpe ratio, were calculated, and hypothesis testing was conducted using t-tests on mean return and F-tests for risk comparison. The empirical data from the Malaysian market demonstrated that the RSI and MACD indicators combined with ML provide a considerable excess return. This strategy is applicable to Malaysia's conventional stock market since it generates an excess profit. The results show that MACD-LSTM provides more profitable trading than RSI-LSTM.
Mohamed Haiour, Mohamed El Amine Bencheikh Le Hocine, Rashid Jan
et al.
Impulse control problems pose significant challenges in decision making under uncertainty, particularly in scenarios where actions must be taken at irregular intervals or in response to abrupt changes in the environment. Ensuring both the existence and uniqueness of optimal control policies in such settings is paramount for practical implementation and theoretical understanding. In this study, we investigate the existence and uniqueness of solutions for impulse control problems utilizing asynchronous algorithms. This study presents a novel demonstration concerning the uniqueness and existence of Partially Quasi-Variational Inequalities (PQVIs). Our approach unfolds through a four-step methodology, leveraging distinctive features of a discrete iterative technique. This methodology integrates semi-implicit techniques with respect to the variable t and employs spatial approximation via finite element methods. We establish a pivotal connection between a fixed-point mapping and the discrete EQVIs system, utilizing it to formulate a discrete algorithm featuring a semi-implicit time scheme. Furthermore, we introduce a monotone iterative scheme inspired by Bensoussan’s algorithm and rigorously confirm several of its properties through mathematical proofs. This work contributes to advancing the understanding and application of iterative techniques in solving PQVIs, offering insights into their uniqueness and existence.
Amr Elsonbaty, Mohammed Alharbi, A. El-Mesady
et al.
Lumpy skin disease is a viral disease that affects cattle and is caused by the lumpy skin disease virus. This work is devoted to presenting and analyzing the nonlinear dynamics of a novel discrete fractional model for lumpy skin disease. The equilibrium points of the proposed discrete fractional model are found. The stability analysis of equilibrium points is carried out. The influences of key parameters in the model are investigated, and then the stability regions of a disease-free steady state in the space of parameters are obtained. A proposed efficient control scheme is implemented to stabilize the disease-free equilibrium point when it is unstable. The influences of fractional-order parameters on the applied control scheme are explored. Finally, numerical simulations are performed to verify the theoretical findings obtained and confirm the effectiveness of the employed control scheme.
Elrilene da Cruz Pereira , Clara Virgínia Vieira Carvalho Oliveira Marques
O presente artigo trata de um recorte de pesquisa que teve por objetivo analisar as percepções de um grupo de professores de ciências do 6º ao 9º ano do Ensino Fundamental da Rede Pública de Ensino de Codó – Maranhão, no que diz respeito ao acompanhamento da elaboração de explicações científicas construídas por seus alunos durante o processo da educação científica, com o intuito de compreender a dinâmica da prática docente sobre a mediação em cima dos argumentos científicos trabalhados no chão da escola. A pesquisa foi desenvolvida na perspectiva da abordagem qualitativa, por meio de um estudo de caso, utilizando-se do instrumento da entrevista para obtenção dos dados. Os resultados e discussões alcançados por meio análise de conteúdo revelaram que os professores compreendem a importância do preparo profissional e do planejamento do trabalho docente reflexivo em relação à elaboração e ajustes das explicações científicas construídas pelos alunos. A maioria deles destacou o conhecimento científico como ferramenta fundamental para as suas aulas e para o sucesso da aprendizagem de ciências. No entanto, ficou perceptível que a vivência do trabalho científico na dinâmica escolar ainda é superficial. Portanto, sugerimos que a formação docente e a dinâmica escolar ainda precisam ser melhoradas, principalmente para intensificar a possibilidade de assegurar linguagem e argumentação científica aos alunos dessa localidade.
Special aspects of education, Applied mathematics. Quantitative methods
Zahia Djedid, Sharifa Al-Sharif, Mohammad Al-Khaleel
et al.
The focus of this study is to establish the existence and uniqueness of solutions for differential and integral equations within specific metric spaces. Our investigation begins by introducing the concept of the so-called cone Eb-metric space and presenting crucial findings in this particular space. We have presented fixed point results for specific contractions, particularly in the context of non-solid cones that possess semi-interior points. Not only do the results enhance specific previous fixed points outcomes, but they also encompass and extend previous findings documented in the literature. Furthermore, we apply our findings in the cone Eb-metric space to various examples and applications. The ultimate outcome is the rigorous validation of the existence and uniqueness of solutions for certain differential and integral equations.
In this paper, inside the system of uncertainty theory, the valuation of equity warrants is explored. Different from the strategies of probability theory, the valuation problem of equity warrants is unraveled by utilizing the strategy of uncertain calculus. Based on the suspicion that the firm price follows an uncertain differential equation, a valuation formula of equity warrants is proposed for an uncertain stock model.
The study aimed to identify the influence of independence for the mathematics student learning in SMP Al Irsyad Surakarta. The subject of this research are all students of class 8 SMP Al Irsyad Surakarta, which consisted of 120 students and the samples chosen with random sampling are 49 students in 3 class in the school year 2020/2021. Samples were taken using the Random sampling technique. The data of independence for the mathematics student learning using a questionnaire. This study using quasi experimental research. The prerequisite using the normality test and linearity test. The normality test by using Kolmogorov Smirnov and the linearity test by using Anova. When the a prerequisite fulfilled, so followed by the Linear Regression. The result showed there are significant impact study of independent learning. Independent learning have a positive influence of mathematics students, although the result is still below 50%. This may be affected by the lack of knowledge students learn about independence, so not been undertaken in full. The conclusions obtained that students could be more improve mathematics learning outcomes.Â
Keywords: learning, independent learning, mathematics, learning outcomes
In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.
In this paper, we study a linear-quadratic optimal control problem with a fractional control system containing a Caputo derivative of unknown function. First, we derive the formulas for the differential and gradient of the cost functional under given constraints. Next, we prove an existence result and derive a maximum principle. Finally, we describe the gradient and projection of the gradient methods for the problem under consideration.
The article discusses the approach to the improvement of information processing technology on the basis of logical-semantic network (LSN) Question-Answer-Reaction aimed at formation and support of the catalog service providing efficient search of answers to questions.
The basis of such a catalog service are semantic links, reflecting the logic of presentation of the author's thoughts within the framework this publication, theme, subject area. Structuring and support of these links will allow working with a field of meanings, providing new opportunities for the study the corps of digital libraries documents. Cataloging of the information fund includes: formation of lexical dictionary; formation of the classification tree for several bases; information fund classification for question-answer topics; formation of the search queries that are adequate classification trees the question-answer; automated search queries on thematic search engines; analysis of the responses to queries; LSN catalog support during the operational phase (updating and refinement of the catalog). The technology is considered for two situations: 1) information fund has already been formed; 2) information fund is missing, you must create it.
In this paper we continue the study of paired-domination in graphs. A paired-dominating set, abbreviated PDS, of a graph \(G\) with no isolated vertex is a dominating set of vertices whose induced subgraph has a perfect matching. The paired-domination number of \(G\), denoted by \(\gamma_{p}(G)\), is the minimum cardinality of a PDS of \(G\). The upper paired-domination number of \(G\), denoted by \(\Gamma_{p}(G)\), is the maximum cardinality of a minimal PDS of \(G\). Let \(G\) be a connected graph of order \(n\geq 3\). Haynes and Slater in [Paired-domination in graphs, Networks 32 (1998), 199-206], showed that \(\gamma_{p}(G)\leq n-1\) and they determine the extremal graphs \(G\) achieving this bound. In this paper we obtain analogous results for \(\Gamma_{p}(G)\). Dorbec, Henning and McCoy in [Upper total domination versus upper paired-domination, Questiones Mathematicae 30 (2007), 1-12] determine \(\Gamma_{p}(P_n)\), instead in this paper we determine \(\Gamma_{p}(C_n)\). Moreover, we describe some families of graphs \(G\) for which the equality \(\gamma_{p}(G)=\Gamma_{p}(G)\) holds.