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On the Zeros of a Special Class of Polynomials

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Journal of Mathematical Research with Applications 2024年第4期44卷 470-474页

作者： Mahnaz Shafi CHISHTI Vipin Kumar TYAGI Mohammad Ibrahim mir School of Basic and Applied Sciences Shobhit Institute of Engineering and Technology (Deemed to be University) Department of Mathematics University of KashmirSouth Campus

Let P be a complex polynomial of the form P （z）=（λz-a）mΠj=1n-m（z-zj）,where|zj|≥1,1≤j≤*** aim of this paper is to obtain generalisation of a result due to Zargar and Manzoor and a result due to mir,nazir and... 详细信息

关键词： bound coefficient polynomial zeros

Weighted ebyev-Ostrowski type inequalities

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Applied Mathematics and Mechanics(English Edition) 2007年第7期28卷 901-906页

作者： Arif Rafiq nazir Ahmad mir Farooq Ahmad Mathematics Department COMSATS Institute of Information TechnologyIslamabad 44000Pakistan Centre for Advanced Studies in Pure and Applied Mathematics Bahanddin Zakariya UniversityMultan 60800Pakistan

In account of the famous Cebysev inequality, a rich theory has appeared in the literature. We establish some new weighted Cebysev type integral inequalities. Our proofs are of independent interest and provide new esti... 详细信息

关键词： Cebysev type inequalities L∞ (a b) spaces absolutely continuous functions weight functions

Idea plagiarism detection with recurrent neural networks and vector space model

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International Journal of Intelligent Computing and Cybernetics 2021年第3期14卷 321-332页

作者： Azra nazir Roohie Naaz mir Shaima Qureshi Department of Computer Science and Engineering National Institute of Technology SrinagarSrinagarIndia

Purpose-Natural languages have a fundamental quality of suppleness that makes it possible to present a single idea in plenty of different *** feature is often exploited in the academic world,leading to the theft of work referred to as *** approaches have been put forward to detect such cases based on various text features and grammatical structures of ***,there is a huge scope of improvement for detecting intelligent ***/methodology/approach-To realize this,the paper introduces a hybrid model to detect intelligent plagiarism by breaking the entire process into three stages:(1)clustering,(2)vector formulation in each cluster based on semantic roles,normalization and similarity index calculation and(3)Summary generation using *** effective weighing scheme has been introduced to select terms used to build vectors based on K-means,which is calculated on the synonym set for the said *** the value calculated in the last stage lies above a predefined threshold,only then the next semantic argument is *** the similarity score for two documents is beyond the threshold,a short summary for plagiarized documents is ***-Experimental results show that this method is able to detect connotation and concealment used in idea plagiarism besides detecting literal ***/value-The proposed model can help academics stay updated by providing summaries of relevant *** would eliminate the practice of plagiarism infesting the academic community at an unprecedented *** model will also accelerate the process of reviewing academic documents,aiding in the speedy publishing of research articles.

关键词： Natural language processing Vector space model Recurrent neural networks Plagiarism detection

Exploring compression and parallelization techniques for distribution of deep neural networks over Edge-Fog continuum-a review

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International Journal of Intelligent Computing and Cybernetics 2020年第3期13卷 331-364页

作者： Azra nazir Roohie Naaz mir Shaima Qureshi Department of Computer Science and Engineering National Institute of Technology SrinagarSrinagarIndia

Purpose-The trend of“Deep Learning for Internet of Things(IoT)”has gained fresh momentum with enormous upcoming applications employing these models as their processing engine and Cloud as their resource *** this picture leads to underutilization of ever-increasing device pool of IoT that has already passed 15 billion mark in ***,it is high time to explore a different approach to tackle this issue,keeping in view the characteristics and needs of the two *** at the Edge can boost applications with realtime deadlines while complementing ***/methodology/approach-This review paper contributes towards three cardinal directions of research in the field of DL for *** first section covers the categories of IoT devices and how Fog can aid in overcoming the underutilization of millions of devices,forming the realm of the things for *** second direction handles the issue of immense computational requirements of DL models by uncovering specific compression *** appropriate combination of these techniques,including regularization,quantization,and pruning,can aid in building an effective compression pipeline for establishing DL models for IoT *** third direction incorporates both these views and introduces a novel approach of parallelization for setting up a distributed systems view of DL for ***-DL models are growing deeper with every passing ***-coordinated distributed execution of such models using Fog displays a promising future for the IoT application *** is realized that a vertically partitioned compressed deep model can handle the trade-off between size,accuracy,communication overhead,bandwidth utilization,and latency but at the expense of an additionally considerable memory *** reduce the memory budget,we propose to exploit Hashed Nets as potentially favorable candidates for distributed ***,the critical point between accuracy and size for such models needs further i

关键词： Distributed deep neural networks Fog Internet of things Compression Parallelization Paper type Research paper

Computer Geometries for Finding All Real Zeros of Polynomial Equations Simultaneously

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Computers, Materials & Continua 2021年第11期69卷 2635-2651页

作者： Naila Rafiq Saima Akram Mudassir Shams nazir Ahmad mir Department of Mathematics NUMLIslamabad44000Pakistan Centre for Advanced Studies in Pure&Applied Mathematics Bahauddin Zakariya UniversityMultan Department of Mathematics and Statistics Riphah International University I-14Islamabad44000Pakistan

In this research article,we construct a family of derivative free simultaneous numerical schemes to approximate all real zero of non-linear polynomial *** make a comparative analysis of the newly constructed numerical schemes with a well-known existing simultaneous method for determining all the distinct real zeros of polynomial equations using computer algebra system Mat *** bound of convergence of simultaneous schemes is calculated using *** convergence property of the numerical schemes is presented by taking random starting initial approximation and their convergence history are graphically *** real life engineering applications along with some higher degree polynomials are considered as numerical test problems to show performance and efficiency of the derivative free family of numerical methods with comparison of an existing method of same order in *** computational order of convergence,CPU time,graph of computational order of convergence and residual error graphs elaborate efficiency,robustness and authentication of the suggested family of numerical methods in its domain.

关键词： Polynomials simultaneous iterative methods random initial guesses lower bound local computational order CAS-mathematica and mat lab

Computer Oriented Numerical Scheme for Solving Engineering Problems

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Computer Systems Science & Engineering 2022年第8期42卷 689-701页

作者： Mudassir Shams Naila Rafiq Nasreen Kausar nazir Ahmad mir Ahmad Alalyani Department of Mathematica and Statistics Riphah International UniversityI-14Islamabad 44000Pakistan Department of Mathematics NUMLIslamabad 44000Pakistan Department of Mathematics Yildiz Technical UniversityFaculty of Arts and ScienceEsenler34210IstanbulTurkey Department of Mathematics Faculty of Science and Arts in ALmandaqAl-Baha UniversityAl-BahaSaudi Arabia

In this study,we construct a family of single root finding method of optimal order four and then generalize this family for estimating of all roots of non-linear equation *** analysis proves that the local order of convergence is four in case of single root finding iterative method and six for simultaneous determination of all roots of non-linear *** non-linear equations are taken from physics,chemistry and engineering to present the performance and efficiency of the newly constructed *** real world applications are taken from fluid mechanics,i.e.,fluid permeability in biogels and biomedical engineering which includes blood Rheology-Model which as an intermediate result give some nonlinear *** non-linear equations are then solved using newly developed simultaneous iterative *** developed simultaneous iterative schemes reach to exact values on initial guessed values within given tolerance,using very less number of function evaluations in each *** convergence order of single root finding method is computed using *** computational order of convergence,CPU-time,absolute residuals errors are calculated to elaborate the efficiency,robustness and authentication of the iterative simultaneous method in its domain.

关键词： Biomedical engineering convergence order iterative method CPU-time simultaneous method

Smart CardioWatch System for Patients with Cardiovascular Diseases Who Live Alone

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Computers, Materials & Continua 2021年第2期66卷 1237-1250页

作者： Raisa nazir ahmed Kazi Manjur Kolhar Faiza Rizwan College of Applied Medical Science Prince Sattam Bin Abdulaziz UniversityWadi Ad Dawaser11990Saudi Arabia Department Computer Science Prince Sattam Bin Abdulaziz UniversityWadi Ad Dawaser11990Saudi Arabia

The widespread use of smartwatches has increased their specific and complementary activities in the health sector for patient’s *** this study,we propose a framework referred to as smart forecasting CardioWatch(SCW)to measure the heart-rate variation(HRV)for patients with myocardial infarction(MI)who live alone or are outside their *** this study,HRV is used as a vital alarming sign for patients with *** performance of the proposed framework is measured using machine learning and deep learning techniques,namely,support vector machine,logistic regression,and decision-tree classification *** results indicated that the analysis of heart rate can help health services that are located remotely from the patient to render timely emergency health ***,taking more cardiac parameters into account can lead to more accurate *** the basis of our findings,we recommend the development of health-related software to aid researchers to develop frameworks,such as SCW,for effective provision of emergency health.

关键词： Forecasting system machine learning algorithms medical forecasting systems medical control systems supervised learning

Computer Methodologies for the Comparison of Some Efficient Derivative FreeSimultaneous Iterative Methods for Finding Roots of Non-Linear Equations

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Computers, Materials & Continua 2021年第1期66卷 275-290页

作者： Yuming Chu Naila Rafiq Mudassir Shams Saima Akram nazir Ahmad mir Humaira Kalsoom Department of Mathematics Huzhou UniversityHuzhou313000China Department of Mathematics National University of Modern LanguagesIslamabadPakistan Department of Mathematics and Statistics Riphah International University I-14Islamabad44000Pakistan Center for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University MultanPakistan School of Mathematical Sciences Zhejiang UniversityHanghou310027China

In this article,we construct the most powerful family of simultaneous iterative method with global convergence behavior among all the existing methods in literature for finding all roots of non-linear *** analysis proved that the order of convergence of the family of derivative free simultaneous iterative method is *** main aim is to check out the most regularly used simultaneous iterative methods for finding all roots of non-linear equations by studying their dynamical planes,numerical experiments and CPU *** planes of iterative methods are drawn by using MATLAB for the comparison of global convergence properties of simultaneous iterative *** behavior of the higher order simultaneous iterative methods are also illustrated by residual graph obtained from some numerical test *** test examples,dynamical behavior and computational efficiency are provided to present the performance and dominant efficiency of the newly constructed derivative free family of simultaneous iterative method over existing higher order simultaneous methods in literature.

关键词： Non-linear equation iterative method simultaneous method basins of attractions computational efficiency

Significantly enhanced flashover voltage of epoxy in vacuum by graded surface roughness modification

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High Voltage 2023年第5期8卷 997-1010页

作者： Inzamam Ul Haq Feipeng Wang Shakeel Akram Muneeb ahmed Muhammad Tariq nazir State Key Laboratory of Power Transmission Equipment&System Security and New Technology Chongqing UniversityChongqingChina College of Electrical Engineering and Control Science Nanjing Tech UniversityNanjingChina State Key Laboratory of Electrical Insulation and Power Equipment Xi'an Jiaotong UniversityXi'anChina School of Engineering RMIT UniversityMelbourneVictoriaAustralia

The flashover strength of epoxy(EP)insulations in the High voltage direct current applications of future energy grids can be improved by tailoring their surface *** work aims to improve the DC surface flashover characteristics of EP after being treated with sandpaper of different *** with virgin EP and homogenously modified EP considering varying surface roughness(R_(a)=0.54,3.16,5.24,and 8.35μm)are *** experimental characterisations,such as water contact angle,surface intrinsic conductivity,surface voltages,flashover strength,and trap distributions are conducted and evaluated to analyse the difference between virgin and treated ***,based on the obtained experimental results of homogenously treated EP and theoretical analysis,the concept of surface functionally graded materials(SFGMs)is put *** flashover voltages of homogenously treated EP are augmented significantly compared to virgin EP regardless of the voltage polarity and enhanced by enhancing the surface *** sample T_(Model‐C) with SFGM design shows a 45.02%and 43.75%improvement in the negative and positive flashover voltages than that of the virgin *** the end,COMSOL simulations are conducted to justify the experimental findings and to analyse the difference between virgin and modified samples in terms of electric field distribution.

关键词： flash graded roughness