Displaying publications 1 - 20 of 45 in total

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  1. Salahshour S, Ahmadian A, Salimi M, Ferrara M, Baleanu D
    Chaos, 2019 Aug;29(8):083110.
    PMID: 31472490 DOI: 10.1063/1.5096022
    Realizing the behavior of the solution in the asymptotic situations is essential for repetitive applications in the control theory and modeling of the real-world systems. This study discusses a robust and definitive attitude to find the interval approximate asymptotic solutions of fractional differential equations (FDEs) with the Atangana-Baleanu (A-B) derivative. In fact, such critical tasks require to observe precisely the behavior of the noninterval case at first. In this regard, we initially shed light on the noninterval cases and analyze the behavior of the approximate asymptotic solutions, and then, we introduce the A-B derivative for FDEs under interval arithmetic and develop a new and reliable approximation approach for fractional interval differential equations with the interval A-B derivative to get the interval approximate asymptotic solutions. We exploit Laplace transforms to get the asymptotic approximate solution based on the interval asymptotic A-B fractional derivatives under interval arithmetic. The techniques developed here provide essential tools for finding interval approximation asymptotic solutions under interval fractional derivatives with nonsingular Mittag-Leffler kernels. Two cases arising in the real-world systems are modeled under interval notion and given to interpret the behavior of the interval approximate asymptotic solutions under different conditions as well as to validate this new approach. This study highlights the importance of the asymptotic solutions for FDEs regardless of interval or noninterval parameters.
    Matched MeSH terms: Mathematics
  2. Ravshan Ashurov
    MyJurnal
    The partial integrals of the N-fold Fourier integrals connected with elliptic polynomials (not necessarily
    homogeneous; principal part of which has a strictly convex level surface) are considered. It is proved that if a + s > (N – 1)/2 and ap = N then the Riesz means of the nonnegative order s of the N-fold Fourier integrals of continuous finite functions from the Sobolev spaces Wpa (RN) converge uniformly on every compact set, and if a + s > (N – 1)/2 and ap = N, then for any x0 ∈ RN there exists a continuous finite function from the Sobolev space such, that the corresponding Riesz means of the N-fold Fourier integrals diverge to infinity at x0. AMS 2000 Mathematics Subject Classifications: Primary 42B08; Secondary 42C14.
    Matched MeSH terms: Mathematics
  3. Zulnaidi H, Mafarja N, Rahim SSA, Salleh UKM
    Acta Psychol (Amst), 2024 Mar;243:104151.
    PMID: 38301408 DOI: 10.1016/j.actpsy.2024.104151
    This study contributes to the existing body of research by examining the mediating effect of ethics in the relationship between mathematics teacher cooperation and readiness. It fills a gap in the literature by investigating the ethical dimensions of collaboration and their impact on readiness for the industrial revolution. This study aims to determine the mediator effect of ethics between the relationship of Mathematics Teacher Cooperation and Readiness in Facing the Era of Industrial Revolution. The study involved a total of 231 mathematics teachers in Indonesia and a total of 384 mathematics teachers in Malaysia using simple random sampling. A survey was conducted to determine the readiness of mathematics teachers in facing the industrial revolution. This study used SEM analysis (using AMOS software) to determine the model of teacher readiness facing the era of industrial revolution such as the direct effect of mathematics teacher cooperation and readiness in facing the era of industrial revolution, the essence of ethics as mediators of the relationship between mathematics teacher cooperation and readiness in facing the era of industrial revolution. The study findings showed collaboration has significant effect on IR4.0 readiness and the direct effect of collaboration on ethics was also significant. Indirectly, ethics has a significant mediating effect in the contribution between collaboration on the readiness of IR4.0 among mathematics teachers in Indonesia and Malaysia. A partial mediator occurred in the results of this study. In conclusion, the study's implications and recommendations emphasize the importance of collaborative practices, ethics, and cross-cultural considerations in preparing mathematics teachers for the Industrial Revolution era in Indonesia and Malaysia. These recommendations highlight the significance of policy support, professional development, ethical guidelines, and research-informed practices to enhance readiness for the challenges brought about by technological advancements.
    Matched MeSH terms: Mathematics*
  4. Jasim Mohammed M, Ibrahim RW, Ahmad MZ
    Saudi J Biol Sci, 2017 Mar;24(3):737-740.
    PMID: 28386204 DOI: 10.1016/j.sjbs.2017.01.050
    In this paper, we consider a low initial population model. Our aim is to study the periodicity computation of this model by using neutral differential equations, which are recognized in various studies including biology. We generalize the neutral Rayleigh equation for the third-order by exploiting the model of fractional calculus, in particular the Riemann-Liouville differential operator. We establish the existence and uniqueness of a periodic computational outcome. The technique depends on the continuation theorem of the coincidence degree theory. Besides, an example is presented to demonstrate the finding.
    Matched MeSH terms: Mathematics
  5. Wahab, Z.A., Embong, R., Isa, N.B.M., Azmi, A.
    MyJurnal
    One of the ways to calculate dividend for an investment is by using average lowest balance (ALB) concept. The existing calculation of dividend based on ALB concept can only be done yearly. This paper discusses on the development of a general formula to calculate the accumulated amount for any period of time, based on the ALB concept that considers different yearly dividend rates. The patterns for each variable and coefficient for the calculated yearly accumulated amount were analysed. The general forms of each variable and coefficient were then combined to form the general formula for calculating the accumulated amount. Validity of the general formula is confirmed by calculating the percentage errors and proven by using mathematical induction.
    Matched MeSH terms: Mathematics
  6. Inomjon G, Torla Hassan
    Sains Malaysiana, 2017;46:175-179.
    A conditional expectation operator plays an important role in geometry of Banach spaces. However, the main issue
    is with regards to the existence of a conditional expectation operator that permits other objects to be considered
    such as martingales and martingale convergence theorems. Thus, the purpose of this study is to provide an abstract
    characterization of a conditional expectation operator on a space of measurable sections.
    Matched MeSH terms: Mathematics
  7. Khan FM, Sarmin NH, Khan HU
    ScientificWorldJournal, 2014;2014:275947.
    PMID: 24883375 DOI: 10.1155/2014/275947
    In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role. In this paper, we introduced a new and advanced generalization of fuzzy generalized bi-ideals of ordered semigroups. These new concepts are supported by suitable examples. These new notions are the generalizations of ordinary fuzzy generalized bi-ideals of ordered semigroups. Several fundamental theorems of ordered semigroups are investigated by the properties of these newly defined fuzzy generalized bi-ideals. Further, using level sets, ordinary fuzzy generalized bi-ideals are linked with these newly defined ideals which is the most significant part of this paper.
    Matched MeSH terms: Mathematics/methods*
  8. Abuasad S, Yildirim A, Hashim I, Abdul Karim SA, Gómez-Aguilar JF
    PMID: 30889889 DOI: 10.3390/ijerph16060973
    In this paper, we applied a fractional multi-step differential transformed method, which is a generalization of the multi-step differential transformed method, to find approximate solutions to one of the most important epidemiology and mathematical ecology, fractional stochastic SIS epidemic model with imperfect vaccination, subject to appropriate initial conditions. The fractional derivatives are described in the Caputo sense. Numerical results coupled with graphical representations indicate that the proposed method is robust and precise which can give new interpretations for various types of dynamical systems.
    Matched MeSH terms: Mathematics
  9. Wan Munirah, W.M., Tahir, A., Azmirul, A.
    MyJurnal
    The transformation method (TM) of fuzzy arithmetic is aimed at simulation and analysis of a system. The aim of this paper is to use fuzzy arithmetic based on the TM on a state space of a steam turbine system. The model is then used to identify the degree of influence of each parameter on the system. Simulation and analysis of the system are presented in this paper.
    Matched MeSH terms: Mathematics
  10. Ghanim F, Darus M
    ScientificWorldJournal, 2013;2013:475643.
    PMID: 24396297 DOI: 10.1155/2013/475643
    By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
    Matched MeSH terms: Mathematics
  11. Rahim RA, Chen LL, San CK, Rahiman MH, Fea PJ
    Sensors (Basel), 2009;9(11):8562-78.
    PMID: 22291523 DOI: 10.3390/s91108562
    This paper explains in detail the solution to the forward and inverse problem faced in this research. In the forward problem section, the projection geometry and the sensor modelling are discussed. The dimensions, distributions and arrangements of the optical fibre sensors are determined based on the real hardware constructed and these are explained in the projection geometry section. The general idea in sensor modelling is to simulate an artificial environment, but with similar system properties, to predict the actual sensor values for various flow models in the hardware system. The sensitivity maps produced from the solution of the forward problems are important in reconstructing the tomographic image.
    Matched MeSH terms: Mathematics
  12. Tso CP, Hor CH, Chen GM, Kok CK
    Heliyon, 2018 Dec;4(12):e01085.
    PMID: 30627676 DOI: 10.1016/j.heliyon.2018.e01085
    The synovial fluid motion in an artificial hip joint is important in understanding the thermo-fluids effects that can affect the reliability of the joint, although it is difficult to be studied theoretically, as the modelling involves the viscous fluid interacting with a moving surface. A new analytical solution has been derived for the maximum induced fluid motion within a spherical gap with an oscillating lower surface and a stationary upper surface, assuming one-dimensional incompressible laminar Newtonian flow with constant properties, and using the Navier-Stokes equation. The resulting time-dependent motion is analysed in terms of two dimensionless parameters R and β, which are functions of geometry, fluid properties and the oscillation rate. The model is then applied to the conditions of the synovial fluid enclosed in the artificial hip joint and it is found that the motion may be described by a simpler velocity variation, whereby laying the foundation to thermal studies in the joint.
    Matched MeSH terms: Mathematics
  13. Ishak SA, Din R, Hasran UA
    J Med Internet Res, 2021 02 19;23(2):e20537.
    PMID: 33605885 DOI: 10.2196/20537
    In the modern age, digital games are widely used as informal media for Science, Technology, Engineering, and Mathematics (STEM) education and medical therapy for game-based learning. Digital games provide learners with a graphical system of interaction that enhances scientific concepts within an enjoyable environment. The vastly increasing number of digital games produced in the market affects the quality of STEM digital games while requiring multidisciplinary expertise. This paper proposes a framework for STEM digital game-based learning encompassing input-process-output stages. Several studies from the early 2000s onward were reviewed to discuss and present a new perspective on a framework for the design and development of digital games, particularly for STEM. This proposed framework consists of digital game development as input, experience as a process, and constructs as output. This simple and precise framework will generate a universal product for various types of learners. It can thus be used as a guideline for game designers, developers, and experts to develop STEM digital games and achieve better learning outcomes.
    Matched MeSH terms: Mathematics
  14. CHUA KAH WAI, LOY KAK CHOON, RUWAIDIAH IDRIS
    MyJurnal
    Ordinary Differential Equations (ODEs) are usually used in numerous fields especially in solving the modelling problem. Numerical methods are one of the vital mathematical tools to solve the ODEs that appear in various modelling problems by determining the approximation solution close to the in exact solution if it exists. Runge-Kutta methods (RK) are the numerical methods used to integrate the ODEs by applying multistage methods at the midpoint of an interval which can efficiently produce a more accurate result or small magnitude of error. We proposed Runge-Kutta methods (RK) to solve the 1st_ order nonlinear stiff ODEs. The RK methods used in this research are known as the RK-2, RK-4, and RK-5 methods. We proved the existence and uniqueness of the ODEs before we solved it numerically. We also proved the absolute-stability of the RK methods to determine the overall stability of these methods. We found two suitable test cases which are the standard test problem and manufactured solution. We proved that by combining the adaptive step size with RK methods can result in more efficient computation. We implemented the 2nd_, 4th_ and 5th_ order of RK methods with step size adaptively algorithm to solve the test problem and manufactured solution via Octave programming language. The resulting numerical error and the stability of each method can be studied. We compared our results using several error plots versus the Central Processing Unit (CPU) time required to compute a given nonlinear 1st_ order stiff ODE problem. In a conclusion, RK methods which combine with the adaptive step size can result in more efficient computation and accuracy compare with the fixed step size RK methods.
    Matched MeSH terms: Mathematics
  15. Babiker A, Faye I
    Comput Intell Neurosci, 2021;2021:6617462.
    PMID: 33564299 DOI: 10.1155/2021/6617462
    Situational interest (SI) is one of the promising states that can improve student's learning and increase the acquired knowledge. Electroencephalogram- (EEG-) based detection of SI could assist in understanding SI neuroscientific causes that, as a result, could explain the SI role in student's learning. In this study, 26 participants were selected based on questionnaires to participate in the mathematics classroom experiment. SI and personal interest (PI) questionnaires along with knowledge tests were undertaken to measure student's interest and knowledge levels. A hybrid method combining empirical mode decomposition (EMD) and wavelet transform was developed and employed for feature extraction. The proposed method showed significant difference using the multivariate analysis of variance (MANOVA) test and consistently outperformed other methods in the classification performance using weighted k-nearest neighbours (wkNN). The high classification accuracy of 85.7% with the sensitivity of 81.8% and specificity of 90% revealed that brain oscillation patterns of high SI students are somewhat different than students with low or no SI. In addition, the result suggests that the delta rhythm could have a significant effect on cognitive processing.
    Matched MeSH terms: Mathematics
  16. Ismail, A.Y., Noerpamoengkas, A., Zakaria, S.I.F.S.
    MyJurnal
    In this paper, an extensive work on the natural frequency of perforated plate has
    been made by introducing micro-holes on the plate. The micro-holes, which is known
    to have a remarkable performance in several applications, were arranged diagonally
    among the perforated holes in order to make a new combination of micro-macro
    perforated plate. A 3D geometrical model of the plate was made in the Autodesk
    Inventor and the Finite Element (FE) simulation was employed to calculate the
    natural frequency and visualize the mode shape. Four models were made with
    various micro-holes diameter starting from 0,25, 0,5, 0,75 and 0,9 mm, respectively.
    The macro holes diameter, however, was kept constant to be 1,5 mm purposely to
    know the effect of micro holes in particular. The results from the models were then
    compared to a single perforated plate (PP) for clarification. It is found that the micro
    holes gives considerable effect to the perforated plate natural frequency. Similar to
    the author previous findings, the diameter of the micro holes is proportional to the
    natural frequency reduction.
    Matched MeSH terms: Mathematics
  17. Noor Azrin Zainuddin, Shamsatuan Nahar, Norzarina Johari, Farah Suraya Md Nasrudin, Noraisyah Abdul Aziz, Nur Diana Zamani, et al.
    Jurnal Inovasi Malaysia, 2018;1(2):23-36.
    MyJurnal
    The use of technology in teaching and learning is increasingly synonymous with the existence of multiple online platforms. Online teaching and learning guides help lecturers and students to obtain a variety of information related to their specialization in the field of study. As all UiTM students at the Diploma level are required to take and pass the Entrepreneurial Basic course (ENT300), they need to produce an entrepreneurial project as one of the course evaluation components. However, the number of science and technology based entrepreneurship projects and products are still too few based on project titles every semester. The ENT300 Kiosk Science and Technology (KENTS) was developed specifically as a guide for the students of the Faculty of Computer Science and Mathematics and has been improved by expanding its scope to the students of the Faculty of Engineering and Faculty of Science at UiTM Johor. A more global scope in KENTS provides specialized online guides for lecturers and students in the science and technology clusters. KENTS is a platform that can be used to realize the direction of higher education in Malaysia and to assist UiTM in producing holistic graduates with entrepreneurship. This online guide platform provides teaching and learning assistance through the custom business template which is categorized into two, system development and machine design. KENTS provides a search function from a list of compilations of science-based and entrepreneurial projects that help lecturers and students find entrepreneurial ideas. KENTS database is used to store student entrepreneurial project information as an e-learning platform that can be shared by lecturers and students globally.
    Matched MeSH terms: Mathematics
  18. Qiu Y, Pan J, Ishak NA
    Comput Intell Neurosci, 2022;2022:1362996.
    PMID: 36193186 DOI: 10.1155/2022/1362996
    Several primary school students in Fujian Province have perceived studying mathematics as challenging. To deal with this issue, computer technology advancements, specifically artificial intelligence (AI), present an opportunity to evaluate individual students' learning challenges and give individualized support to optimize their success in mathematics classes. It is also possible to use virtual reality (VR) to assist learners in acquiring complex mathematical and logical ideas and to lessen learners' mistakes. As a result, researchers, particularly beginners, are missing out on a complete perspective of the study of AI in teaching mathematics. That is why we are exploring the role of AI in math education by developing a "fuzzy-based tweakable convolution neural network with a long short-term memory (FT-CNN-LSTM-AM)" method. For this investigation, the students' datasets are taken and educated by mathematical teaching via the application of AI. The proposed method is utilized to predict the students' performance in mathematical education. A grey wolf optimizer is employed to boost the effectiveness of the proposed method. Furthermore, the performance of the proposed method is analyzed and compared with existing approaches to gain the highest reliability.
    Matched MeSH terms: Mathematics
  19. Abd Hamid AI, Yusoff AN, Mukari SZ, Mohamad M
    Malays J Med Sci, 2011 Apr;18(2):3-15.
    PMID: 22135581 MyJurnal
    In spite of extensive research conducted to study how human brain works, little is known about a special function of the brain that stores and manipulates information-the working memory-and how noise influences this special ability. In this study, Functional magnetic resonance imaging (fMRI) was used to investigate brain responses to arithmetic problems solved in noisy and quiet backgrounds.
    Matched MeSH terms: Mathematics
  20. Lee K, Ng SF, Ng EL, Lim ZY
    J Exp Child Psychol, 2004 Oct;89(2):140-58.
    PMID: 15388303 DOI: 10.1016/j.jecp.2004.07.001
    Previous studies on individual differences in mathematical abilities have shown that working memory contributes to early arithmetic performance. In this study, we extended the investigation to algebraic word problem solving. A total of 151 10-year-olds were administered algebraic word problems and measures of working memory, intelligence quotient (IQ), and reading ability. Regression results were consistent with findings from the arithmetic literature showing that a literacy composite measure provided greater contribution than did executive function capacity. However, a series of path analyses showed that the overall contribution of executive function was comparable to that of literacy; the effect of executive function was mediated by that of literacy. Both the phonological loop and the visual spatial sketchpad failed to contribute directly; they contributed only indirectly by way of literacy and performance IQ, respectively.
    Matched MeSH terms: Mathematics*
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