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Algebraic Properties for Molecular Structure of Magnesium Iodide

Computer Modeling in Engineering & Sciences 2023年第5期135卷 1131-1146页

作者： Ali N.A.Koam Ali Ahmad Muhammad Azeem Muhammad Kamran Siddiqui Department of Mathematics College of ScienceNew CampusJazan UniversityJazanSaudi Arabia College of Computer Science and Information Technology Jazan UniversityJazanSaudi Arabia Department of Mathematics Riphah Institute of Computing and Applied SciencesRiphah International UniversityLahorePakistan Department of Mathematics COMSATS University IslamabadLahorePakistan

As an inorganic chemical,magnesium iodide has a significant crystalline *** is a complex and multifunctional substance that has the potential to be used in a wide range of medical *** graph theory,on the other hand,provides a sufficient and cost-effective method of investigating chemical structures and networks.M-polynomial is a relatively new method for studying chemical networks and structures in molecular graph *** displays numerical descriptors in algebraic form and highlights molecular features in the form of a polynomial *** present a polynomials display of magnesium iodide structure and calculate several M-polynomials in this paper,particularly the M-polynomials of the augmented Zagreb index,inverse sum index,hyper Zagreb index and for the symmetric division index.

关键词： Magnesium iodide M-polynomials algebraic properties of magnesium iodide algebraic formation of numerics of magnesium iodide

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Computational-Analysis of the Non-Isothermal Dynamics of the Gravity-Driven Flow of Viscoelastic-Fluid-Based Nanofluids Down an Inclined Plane

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Fluid Dynamics & Materials Processing 2023年第3期19卷 767-781页

作者： Idrees Khan Tiri Chinyoka Andrew Gill Centre for Research in Computational&Applied Mechanics University of Cape TownRondebosch7701South Africa Department of Mathematics and Applied Mathematics University of Cape TownRondebosch7701South Africa Centre for High Performance and Computing Council for Scientific and Industrial ResearchRosebankCape Town7700South Africa

The paper explores the gravity-driven flow of the thin film of a viscoelastic-fluid-based nanofluids(VFBN)along an inclined plane under non-isothermal conditions and subjected to convective cooling at the *** Newton’s law of cooling is used to model the convective heat-exchange with the ambient at the *** Giesekus viscoelastic constitutive model,with appropriate modifications to account for non-isothermal effects,is employed to describe the polymeric *** unsteady and coupled non-linear partial differential equations(PDEs)describing the model problem are obtained and solved via efficient semi-implicit numerical schemes based on finite difference methods(FDM)implemented in *** response of the VFBN velocity,temperature,thermal-conductivity and polymeric-stresses to variations in the volume-fraction of embedded nanoparticles is *** is shown that these quantities all increase as the nanoparticle volume-fraction becomes higher.

关键词： Semi-implicit numerical scheme finite difference methods viscoelastic-fluid-based nanofluid(VFBN) nonisothermal viscoelastic flow giesekus constitutive model nanofluid thermal-conductivity gravity-driven flow

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Numerical Analysis of Generalized Fractional Form of Newton’s Cooling Law Under a Variable Environment Temperature

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International Journal of applied and Computational mathematics 2024年第2期10卷 1-24页

作者： Hatime, Naoufel Melliani, Said El Mfadel, Ali Elomari, M’hamed Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University Beni Mellal Morocco Superior School of Technology Sultan Moulay Slimane University Khenifra Morocco

In this article, we study two proposed fractional models. Initially, we introduce a new generalized Marshall–Hoare model using the Mittag-Leffler type function to simulate the cooling of the internal solid organs during the time immediately after death. Furthermore, we provide an explicit solution for this new model. Secondly, by using Ψ-Caputo derivative of order α∈(0,1), we study Newton’s law of cooling under a general variable ambient temperature with two heat transfer coefficients. By transforming the main problem to a general delayed Volterra integral equation of the second kind and in light of the Banach fixed point theorem, we establish the existence and uniqueness results under a condition on both heat transfer coefficients. Additionally, via the delayed Henry–Gronwall integral inequality, we derive a criterion for finite-time stability. Moreover, we give a first-order numerical scheme to approximate our proposed model by approximating the integral form of the given solution. Finally, to show the efficacy and precision of our model, we look into a pharmacokinetics clinical trial. Our delayed fractional model anticipates values of drug concentration in plasma as close as possible to the ones observed in experimental data. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.

关键词： 26A33 34A08 34A45 34K37 90C32 Delay Marshall–Hoare model Modelling nature Newton’s law of cooling Ψ-Caputo fractional derivative

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Generalization Analysis of Deep Non-linear Matrix Completion 41

Generalization Analysis of Deep Non-linear Matrix Completion

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41st International Conference on Machine Learning, ICML 2024

作者： Ledent, Antoine Alves, Rodrigo School of Computing and Information Sciences Singapore Management University Singapore Department of Applied Mathematics Czech Technical University in Prague Prague Czech Republic

We provide generalization bounds for matrix completion with Schatten p quasi-norm constraints, which is equivalent to deep matrix factorization with Frobenius constraints. In the uniform sampling regime, the sample complexity scales like Or prnq where n is the size of the matrix and r is a constraint of the same order as the ground truth rank in the isotropic case. In the distribution-free setting, the bounds scale as Or (r1- p 2 n1+ p 2), which reduces to the familiar √rn 2 3 for p = 1. Furthermore, we provide an analogue of the weighted trace norm for this setting which brings the sample complexity down to Orpnrq in all cases. We then present a non-linear model, Functionally Rescaled Matrix Completion (FRMC) which applies a single trainable function from → to each entry of a latent matrix, and prove that this adds only negligible terms of the overall sample complexity, whilst experiments demonstrate that this simple model improvement already leads to significant gains on real data. We also provide extensions of our results to various neural architectures, thereby providing the first comprehensive uniform convergence PAC analysis of neural network matrix completion. Copyright 2024 by the author(s)

关键词： Matrix factorization

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Self-Adaptation in IoT Systems for Smart Cities

Self-Adaptation in IoT Systems for Smart Cities

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2023 Symposium on Internet of Things, SIoT 2023

作者： Nogueira, Bruno C. Motta, Rebeca C. Delicato, Flavia C. Batista, Thais V. Institute of Computing - Uff Niterói Brazil Ufrn Informatics and Applied Mathematics Dept. Natal Brazil

ISBN: (纸本)9798350329438

Smart Cities (SC) leverage digital technologies to enhance the effectiveness of urban services and improve the quality of life. Since it is a recent field of development, several challenges are afoot. An important part of this challenge concerns adaptive behavior, which is paramount to SC solutions, to respond to contextual changes and carry out tasks with minimal human interaction. Given this relevance, we performed a literature review to characterize the platforms, application types, and adaptation aspects for SC and discuss the challenges to building self-adaptive systems SC. The reviews resulted in 23 papers analyzed, from which the findings of the field's research potential, with a particular emphasis on developing SC solutions and the difficulties that must be resolved before they can be built. © 2023 IEEE.

关键词： Internet of things

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q-Difference Recurrence Relations of Aleph Function with Generalization to nth Derivative

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International Journal of applied and Computational mathematics 2024年第2期10卷 1-14页

作者： Bhat, Mohammad Younus Maqbool, Humaira Bhat, Altaf A. Department of Mathematical Sciences Islamic University of Science and Technology Kashmir Awantipora India Mathematics and Computing Skills Preparatory Studies Centre University of Technology and Applied Sciences Salalah Oman

Sharma and Jain studied the basic analogue of Meijer’s G-function by using the methods of q-calculus and constructed the q-difference operators and their lie algebra. In this article, we employ the same technique for basic anlogue of the Aleph function defined by Dutta et al. and thus on account of general nature of q-analogue of Aleph function,the q-difference recurrence relations of the Aleph function are obtained and an enumerous number of new and known results are special cases of our main results. Also the recurrence relation of I-function and Fox-H function are deduced as special cases by suitable substitutions. Furthermore the generalisation to nth partial derivatives and the required relations are also discussed which are quite general in nature and capable of producing a number of new and known results. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.

关键词： 133D05 20C20 42C40 Aleph function q-Analogue q-Calculus q-Gamma function Recurrence relations

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Used Sailboat Price Prediction Model Based on SSA Optimized XG-Boost Algorithm 6

Used Sailboat Price Prediction Model Based on SSA Optimized ...

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6th International Conference on Artificial Intelligence and Big Data, ICAIBD 2023

作者： Chen, Yanhao Zheng, Peng Xu, Yucan Nge, Kie Seng Xiamen University Malaysia School of Computing & Data Science Selangor Sepang Malaysia Xiamen University Malaysia Department of Mathematics and Applied Mathematics Selangor Sepang Malaysia

ISBN: (纸本)9781665491259

As the economy grows and the supply and demand for new boats gradually balance, the trading volume of used sailboats has increased. The transaction price of used sailboats is affected by factors such as age, equipment, and market, making it difficult to assess and predict their value. Therefore, this paper aims to study the used sailboat market in Hong Kong and develop a mathematical model that can explain and predict the trading price of used sailboats to investigate the effect of regional effects on the trading price. In this paper, this work first pre-processed the data of sailboats by using VMD series decomposition to decompose the data containing time series and also used the XG-Boost model for data prediction, and the model can achieve a fit of over 95% in the training set, and the indicators of the model such as MAE and MAPE are also very accurate. In order to improve the accuracy of the model, this paper uses the SSA optimization method to optimize the catamaran price prediction model further and obtain a more accurate prediction model. Meanwhile, to discuss whether the regional effect is consistent on different sailboats, this paper verifies the regional effect with the help of the ANOVA method of the importance of indicator characteristics output from the XGB model. The results show that the area effect is essential and has a more significant impact on single-handed sailboats. Meanwhile, this paper calculates that the fit of the XGB model in the Hong Kong trading market still achieves the original accuracy, and the effect of GDP on the trading price of single-hull sailing boats is significantly higher than that of catamarans. © 2023 IEEE.

关键词： Forecasting

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Optical dromions for complex Ginzburg Landau model with nonlinear media

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applied mathematics(A Journal of Chinese Universities) 2023年第1期38卷 111-125页

作者： Syed T.R.Rizvi Aly R.Seadawy Muhammad Younis S.O.Abbas Abdul Khaliq Department of Mathematics COMSATS University IslamabadLahore CampusPakistan Mathematics Department Faculty of ScienceTaibah UniversityAl-Madinah Al-Munawarah 41411Kingdom of Saudi Arabia Punjab University College of Information Technology University of the PunjabLahore Pakistan Mathematics Department Riphah Institute of Computing and Applied SciencesRiphah International UniversityLahorePakistan

This manuscript studies the optical dromions with beta derivative(BD)applied to the Complex Ginzburg Landau equation(CGLE)with Kerr law,parabolic law,cubic quintic septic law and quadratic cubic *** obtain bright dromians by using the sine-cosine method(SCM).We will also obtain domain walls with the assistance of Bernoulli equation approach(BEA).Constraint conditions are also listed.

关键词： CGLE optical dromians non-Kerr laws

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Towards Tight Bounds for the Graph Homomorphism Problem Parameterized by Cutwidth via Asymptotic Matrix Parameters 51

Towards Tight Bounds for the Graph Homomorphism Problem Para...

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51st International Colloquium on Automata, Languages, and Programming, ICALP 2024

作者： Groenland, Carla Mannens, Isja Nederlof, Jesper Piecyk, Marta Rzążewski, Pawel Delft Institute of Applied Mathematics Netherlands Department of Information and Computing Sciences Utrecht University Netherlands Warsaw University of Technology Poland University of Warsaw Poland

ISBN: (纸本)9783959773225

A homomorphism from a graph G to a graph H is an edge-preserving mapping from V (G) to V (H). In the graph homomorphism problem, denoted by Hom(H), the graph H is fixed and we need to determine if there exists a homomorphism from an instance graph G to H. We study the complexity of the problem parameterized by the cutwidth of G, i.e., we assume that G is given along with a linear ordering v1, . . ., vn of V (G) such that, for each i ∈ {1, . . ., n − 1}, the number of edges with one endpoint in {v1, . . ., vi} and the other in {vi+1, . . ., vn} is at most k. We aim, for each H, for algorithms for Hom(H) running in time ckHnO(1) and matching lower bounds that exclude ckH·o(1)nO(1) or ckH(1−Ω(1))nO(1) time algorithms under the (Strong) Exponential Time Hypothesis. In the paper we introduce a new parameter that we call mimsup(H). Our main contribution is strong evidence of a close connection between cH and mimsup(H): an information-theoretic argument that the number of states needed in a natural dynamic programming algorithm is at most mimsup(H)k, lower bounds that show that for almost all graphs H indeed we have cH ≥ mimsup(H), assuming the (Strong) Exponential-Time Hypothesis, and an algorithm with running time exp(O(mimsup(H) · k log k))nO(1). In the last result we do not need to assume that H is a fixed graph. Thus, as a consequence, we obtain that the problem of deciding whether G admits a homomorphism to H is fixed-parameter tractable, when parameterized by cutwidth of G and mimsup(H). The parameter mimsup(H) can be thought of as the p-th root of the maximum induced matching number in the graph obtained by multiplying p copies of H via a certain graph product, where p tends to infinity. It can also be defined as an asymptotic rank parameter of the adjacency matrix of H. Such parameters play a central role in, among others, algebraic complexity theory and additive combinatorics. Our results tightly link the parameterized complexity of a problem to such an asymptoti

关键词： Parameterization

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STUDY OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYBRID DIFFERENTIAL EQUATIONS INVOLVING ψ -CAPUTO FRACTIONAL DERIVATIVE WITH MEASURES OF NONCOMPACTNESS

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Journal of Mathematical Sciences (United States) 2023年第4期271卷 458-467页

作者： Chefnaj, Najat Taqbibt, Abdellah Hilal, Khalid Melliani, Said Applied Mathematics and Scientific Computing Laboratory Sultan Moulay Slimane University P.O. Box 523 Beni Mellal 23000 Morocco

The main objective of this research is to discuss the existence of solutions for a nonlocal hybrid boundary value problem of ψ -Caputo fractional differential equations. To prove this result, we use Darbo’s fixed point theorem and some essential concepts in fractional analysis of ψ -Caputo. Furthermore, we provide an example to demonstrate the practical applications of our findings. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

关键词： Boundary value problem Darbo fixed point theorem Measure of noncompactness ψ-Caputo fractional derivative

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