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Multivariate form of Hermite sampling series

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Applied Mathematics(A Journal of Chinese Universities) 2024年第2期39卷 253-265页

作者： Rashad M.Asharabi department of Mathematics College of Arts and SciencesNajran UniversityNajranSaudi Arabia

In this paper,we establish a new multivariate Hermite sampling series involving samples from the function itself and its mixed and non-mixed partial derivatives of arbitrary *** multivariate form of Hermite sampling will be valid for some classes of multivariate entire functions,satisfying certain growth *** will show that many known results included in Commun Korean Math Soc,2002,17:731-740,Turk J Math,2017,41:387-403 and Filomat,2020,34:3339-3347 are special cases of our ***,we estimate the truncation error of this sampling based on localized sampling without decay *** examples are also presented.

关键词： multidimensional sampling series sampling with partial derivatives contour integral truncation error

Study for obtaining the exact solutions for the propagation of pulses in optical fibers

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Communications in Theoretical Physics 2024年第10期76卷 14-25页

作者： Arzu Akbulut Waseem Razzaq Filiz Tascan department of Mathematics Faculty of Arts and Science Bursa Uluda? University Math Center House no 87 Rahmanyia Colony department of Mathematics and Computer Sciences Faculty of Arts and Science Eskisehir Osmangazi University

In this study, the exact solutions for the propagation of pulses in optical fibers are *** values are given in the model used, and two nonlinear differential equations are *** equations are reduced to ordinary differential equations with the help of wave transformations. Then, the obtained differential equations are solved by two different methods,namely the modified simplest equation and the modified Kudryashov procedures. The solutions are given by hyperbolic, trigonometric and rational functions and the results are useful for optics,engineering and other related areas. Finally three-dimensional, contour and two-dimensional shapes are given for some solutions. These figures are important for understanding the motion of the wave. The given methods are applied to the equations for the first time. To the best of the authors' knowledge, these results are new and have not been obtained in the literature. The results are useful for applied mathematics, physics and other related areas.

关键词： exact solutions the modified simplest equation procedure traveling wave transformation

The interaction of history and modern thought in the creation of Iran’s architecture by investigating the approaches of past-oriented architecture

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Frontiers of Architectural Research 2024年第3期13卷 459-486页

作者： Mohsen Kamali department of Architecture Faculty of Arts and ArchitectureYazd UniversityYazdIran

The relationship between tradition and modernity significantly influences society,culture,and architectural *** philosophy offers a framework for exploring the impact of traditional architecture on contemporary Iranian architecture from different perspectives and *** viewpoints exist on whether historical architecture can be a defining characteristic of contemporary architectural *** an in-depth review of analysis-centred architectural literature,a unique method was chosen for analysing contemporary architecture and gaining insight into its *** main goal of this study is to establish a productive relationship between past-oriented architecture,innovative architectural concepts,and contemporary *** article examines three critical viewpoints,tradition as imitation,transmission,and transformation,alongside analysing their influential components on architectural form to gain insight into productively connecting with historical achievements and show that the role of history is to add new values to architecture-conscious needs that have changed during ***,the challenge lies in finding a suitable path among diverse perspectives and reinterpretations and establishing a productive relationship with history and contemporary thought.

关键词： Tradition Modernism Past-oriented architecture Contemporary Iranian architecture Concept-oriented architecture Contemporary architectural approaches

Novel Investigation of Stochastic Fractional Differential Equations Measles Model via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel

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Computer Modeling in Engineering & Sciences 2024年第6期139卷 2289-2327页

作者： Saima Rashid Fahd Jarad department of Mathematics Government College UniversityFaisalabad38000Pakistan department of Natural Sciences School of Arts and SciencesLebanese American UniversityBeirut11022801Lebanon department of Mathematics Faculty of Arts and ScienceÇnkaya UniversityAnkara06790Turkey department of Medical Research China Medical UniversityTaichung40402TaiwanChina

Because of the features involved with their varied kernels,differential operators relying on convolution formulations have been acknowledged as effective mathematical resources for modeling real-world *** this paper,we constructed a stochastic fractional framework of measles spreading mechanisms with dual medication immunization considering the exponential decay and Mittag-Leffler *** this approach,the overall population was separated into five ***,the descriptive behavior of the system was investigated,including prerequisites for the positivity of solutions,invariant domain of the solution,presence and stability of equilibrium points,and sensitivity *** included a stochastic element in every cohort and employed linear growth and Lipschitz criteria to show the existence and uniqueness of *** numerical simulations for various fractional orders and randomization intensities are illustrated.

关键词： Measles epidemic model Atangana-Baleanu Caputo-Fabrizio differential operators existence and uniqueness qualitative analysis Newton interpolating polynomial

Recent advances in glycerol valorization through electrocatalytic methods

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Tungsten 2024年第4期6卷 696-710页

作者： Hao-Hai Dong Yu-Xin Zhu Yi-Gu Li Jia-Yan Liang Ya Tan Xin-Yue Zhang Hao-Min Jiang Liu Lin Ze-Min Sun Center for Advanced Materials Research & College of arts and Sciences Beijing Normal University department of Chemistry University College London

The recent tremendous growth of biodiesel production from vegetable oils or waste fats has led to increased glycerol accumulation as a by-product of this *** sparked attention towards glycerol use and valorization of this largely available and cheap *** several methods for glycerol valorization,electrochemical glycerol oxidation reaction(EGOR)is an attractive alternative anodic reaction to oxygen evolution reaction for a variety of electrolytic synthesis,due to the low thermodynamic ***,the EGOR at the anode can be coupled with a cathodic hydrogen evolution reaction to achieve efficient energy conversion in an aqueous electrolytic *** review provides a comprehensive summary and critical analysis of glycerol electrochemical oxidation research during the last 5 *** review focuses on the recent development and prospects of electrochemical pathways(indirect or direct routes) for application in the *** particular,the recent development and prospects of using noble and non-noble group metal catalysts for glycerol electro-oxidation are ***,reaction product selectivity analysis and conversion efficiency are also highlighted.

关键词： Active oxygen species Electrocatalytic methods Glycerol Noble metal catalysts Non-noble metal catalysts

An inter-semiotic analysis of ideational meaning in text-prompted AI-generated images

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Language and Semiotic Studies 2024年第1期10卷 17-42页

作者： Arash Ghazvineh department of Art Research Faculty of ArtsTarbiat Modares UniversityTehranIran

This paper explores the inter-semiotic analysis of the ideational meaning in images generated by the text-to-image AI tool,Bing Image *** adopts Kress and Van Leeuwen’s Grammar of Visual Design as its theoretical framework as the original grounding of the framework in systemic functional grammar(SFG)ensures a solid theoretical basis for undertaking analyses that involve the incorporation of textual and visual *** integration of an AI generative model within the analytical framework enables a systematic connection between language and visual *** incorporation offers the potential to generate well-regulated pictorial representations that are systematically grounded in controlled textual *** approach introduces a novel avenue for re-examining inter-semiotic processes,leveraging the power of AI *** paper argues that visual representations possess unique structural devices that surpass the limitations of verbal or written communication as they readily accommodate larger amounts of information in contrast to the limitations of the linear nature of alphabetic ***,this paper extends its contribution by critically evaluating specific aspects of the Grammar of Visual Design.

关键词： inter-semiotic analysis AI text-to-image generator systemic functional linguistics grammar of visual designs

Influence of cerium ions on structure-dependent magnetic properties of Ba-Sr M-type hexaferrite nanocrystals

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Journal of Rare Earths 2024年第2期42卷 364-372,I0005页

作者： Ram A.Pawar Sunil M.Patange P.M.Dighe Sher Singh Meena Abdullah GAl-Sehemi Mehboobali Pannipara Santosh S.Jadhav department of Physics ArtsCommerce and Science CollegeAhmednagar413711MaharashtraIndia department of Physics Shri Krishna MahavidyalayaGunjotiDistOsmanabad413606MaharashtraIndia Padmashri Vikhe Patil College of arts Science and CommercePravaranagarA/P.Loni(Kd)Tal.RahataDistAhmednagar413713MaharashtraIndia Solid State Physics Division Bhabha Atomic Research CentreMumbai400085MaharashtraIndia department of Chemistry King Khalid UniversityAbha61413Saudi Arabia department of Physics D.S.M's ArtsCommerce and Science CollegeJintur431509MaharashtraIndia

The present study is a systematic effort to investigate the structure-sensitive magnetic parameters of Ce^(3+) substituted Ba-Sr hexaferrite nanocrystals chemically formulated as Ba_(0.5)Sr_(0.5)Ce_(x)Fe_(12-x)O_(19) where x=0.0-0.2 with Δx=*** hexaferrite powders were prepared using the sol-gel self-ignition route and structurally characterized by means of powder X-ray diffraction and Fourier transform infrared *** creation of the M-type hexaferrite phase within the synthesized samples was revealed from the Rietveld refinement of the X-ray *** occurrence of a secondary phase of CeO_(2) was revealed within the hexaferrites for the substitution,x> *** refined X-ray diffraction data were utilized to compute the lattice parameters,X-ray density,and lattice parameter *** crystal structure plotted from the refined XRD data reveals the occupancy of the ions at different lattice *** XPS data of the hexaferrite were analyzed to confirm the oxidation states of the constituent *** nanocrystalline nature of the hexaferrites was revealed from the crystallite sizes calculated using Scherer's *** analysis of FTIR spectra confirms that only a fraction of Ce^(3+)accommodated in the lattice and the remaining Ce content reside in the form of the CeO_(2) *** morphology of the hexaferrites was analyzed from the FESEM profiles of the ferrite *** magnetic behavior study was performed by analyzing the Curie temperature,hysteresis loops,and hyperfine interactions by means of susceptibility,V.S.M,and Mossbauer spectroscopy,*** hexaferrites with increasing coercivity,decreasing saturation magnetization,and decreasing Curie temperature are reported in the *** substituted Ce^(3+)ions inhibit the grain growth and create lattice imperfections giving rise to hexaferrites with tuned magnetic parameters suitable for different applications.

关键词： Ba-Sr hexaferrite Ce^(3+)substitution XPS Saturation magnetization Coercivity M?ssbauer spectroscopy

Dark Localized Waves in Shallow Waters:Analysis within an Extended Boussinesq System

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Chinese Physics Letters 2024年第4期41卷 32-37页

作者： Zhengping Yang Wei-Ping Zhong Milivoj Belic department of Medical Science Shunde PolytechnicShunde 528300China department of Electronic Engineering Shunde PolytechnicShunde 528300China Division of arts and Sciences Texas A&M University at Qatar23874 DohaQatar

We study dark localized waves within a nonlinear system based on the Boussinesq approximation,describing the dynamics of shallow water *** symbolic calculus,we apply the Hirota bilinear method to transform an extended Boussinesq system into a bilinear form,and then use the multiple rogue wave method to obtain its dark rational *** the first-and second-order dark solutions,we examine the conditions under which these localized solutions exist and their spatiotemporal *** the selection of various parameters and by utilizing different visualization techniques(intensity distributions and contour plots),we explore the dynamical properties of dark solutions found:in particular,the first-and second-order dark rogue *** also explore the methods of their *** findings presented here not only deepen the understanding of physical phenomena described by the(1+1)-dimensional Boussinesq equation,but also expand avenues for further *** method can be extended to other nonlinear systems,to conceivably obtain higher-order dark rogue waves.

关键词： Boussinesq bilinear nonlinear

Detection and defending the XSS attack using novel hybrid stacking ensemble learning-based DNN approach

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Digital Communications and Networks 2024年第3期10卷 716-727页

作者： Muralitharan Krishnan Yongdo Lim Seethalakshmi Perumal Gayathri Palanisamy IMS Sungkyunkwan UniversitySuwon16419South Korea department of Mathematics Sungkyunkwan UniversitySuwon16419South Korea department of Information Technology Madras Institute of TechnologyChennaiIndia department of Mathematics PSG College of Arts and ScienceTamilnaduIndia

Existing web-based security applications have failed in many situations due to the great intelligence of *** web applications,Cross-Site Scripting(XSS)is one of the dangerous assaults experienced while modifying an organization's or user's *** avoid these security challenges,this article proposes a novel,all-encompassing combination of machine learning(NB,SVM,k-NN)and deep learning(RNN,CNN,LSTM)frameworks for detecting and defending against XSS attacks with high accuracy and *** on the representation,a novel idea for merging stacking ensemble with web applications,termed“hybrid stacking”,is *** order to implement the aforementioned methods,four distinct datasets,each of which contains both safe and unsafe content,are *** hybrid detection method can adaptively identify the attacks from the URL,and the defense mechanism inherits the advantages of URL encoding with dictionary-based mapping to improve prediction accuracy,accelerate the training process,and effectively remove the unsafe JScript/JavaScript keywords from the *** simulation results show that the proposed hybrid model is more efficient than the existing detection *** produces more than 99.5%accurate XSS attack classification results(accuracy,precision,recall,f1_score,and Receiver Operating Characteristic(ROC))and is highly resistant to XSS *** order to ensure the security of the server's information,the proposed hybrid approach is demonstrated in a real-time environment.

关键词： Machine learning Deep neural networks Classification Stacking ensemble XSS attack URL encoding JScript/JavaScript Web security