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Spatiotemporal Synchronization of Diffusively Coupled Modified Logistic Map Under Complex Network Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2021-01-26 Mohammad Ali Khan, Debjani Maity, Syeda Darakhshan Jabeen
We study spatiotemporal synchronization under complex network of diffusively coupled chaotic modified logistic map. In modified logistic map a new parameter is introduced such that nonlinear term is in fractional power. The complex network is dynamic whose coupling connections change stochastically in time. Here we investigate the spatiotemporal dynamics of coupled modified logistic maps whose coupling
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Mathematical Approach on Chipping Volume Estimation Generated During Rotary Ultrasonic Drilling for Float Glass Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2021-01-26 Ankit Sharma, Vivek Jain, Dheeraj Gupta
The present paper presented a mathematical approach based upon Buckingham pi theorem to estimate the volume of chipping while creating holes by rotary ultrasonic drilling on float glass specimen. The experimental validation is also carried out by performing L9 designed experimental trials at various combinations of drilling parameters. Coordinate measuring machine technique has been deployed to precisely
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Novel Meshfree Scheme For Solving The Inverse Cauchy problem Of Heat Conduction Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2021-01-22 Surbhi Arora, Jaydev Dabas
The paper presents a meshfree technique based on the method of fundamental solutions (MFS) and the energy equation associated with the model, to optimize the location of source points. Over the years, the simplest way of distributing the source set has been on a fixed contour lying outside of the considered domain. In this study, a method automates the optimal placement of the source points with the
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Performance Analysis and Optimization of Different Electrode Materials and Dielectric Fluids on Machining of High Carbon High Chromium Steel in Electrical Discharge Machining Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2021-01-06 Jagadish, Sandeep Kumar, Dheeraj Lal Soni
The present paper presents an experimental study on the performance evaluation of different electrode materials and dielectric fluids on high carbon high chromium (HcHcr) tool steel in electric discharge machining (EDM). Dielectric fluids (kerosene, distilled water, and EDM oil), electrode materials (copper, brass, and graphite) with current and pulse-on time are considered as input parameters while
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Unreliable Single Server Double Orbit Retrial Queue with Balking Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2021-01-05 Madhu Jain, Sudeep Singh Sanga
The single unreliable server double orbit Markovian retrial queue with customers’ balking behavior has been investigated. The arriving customers may not wish to proceed for the service when the system seems overcrowded. On joining the system, if the server is busy then customers are forced to join ordinary orbit or executive orbit as per their demand. It is assumed that the server is unreliable and
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Effect of a Point/Line Heat Source on Hydromagnetic Free Convection between Vertical Walls due to Induced Magnetic Field Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-29 Naveen Dwivedi, Ashok Kumar Singh
The hydromagnetic natural convective flow of an incompressible electrically conducting and viscous liquid amid non-conducting vertical walls with a constant point heat source/sink under the impact of the induced magnetic field has been studied. A wavelet function is used to formulate the point heat source. The considered problem is described by a group of simultaneous ODEs with significant boundary
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Some Compromised Exponential Ratio Type Imputation Methods in Simple Random Sampling Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-23 Shakti Prasad
In this paper, some compromised exponential ratio type imputation methods have been suggested and their corresponding point estimators have been proposed in simple random sampling when some sample observations are missing. The expressions for the biases and mean square errors of the proposed point estimators have been derived. These estimators are compared with the mean imputation method, ratio imputation
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Application of Multiple Linear Regression and Geographically Weighted Regression Model for Prediction of PM 2.5 Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-21 Tripta Narayan, Tanushree Bhattacharya, Soubhik Chakraborty, Swapan Konar
The present study deals with the assessment of the spatial distribution of PM2.5 over a decade in Jharkhand state of eastern India, which is a prominent site for mining and industries. Since there are very few monitoring stations on the ground to monitor the air quality of the entire state, satellite data have been utilised. The study period is from the year 2005 to 2016. The selection of the study
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A New Algorithm for Solving Generalized Systems of Second-Order Boundary Value Problems using Nonpolynomial Spline Technique Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-17 Shahna, Arshad Khan
In this paper, a nonpolynomial spline technique is used for developing a new algorithm for solving systems of second-order boundary value problems. Convergence analysis of the algorithm has been carried out which shows that the algorithm is second- as well as fourth-order convergent. In addition to that, four numerical problems including linear, nonlinear and singularly perturbed systems are given
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Opposition-Based Genetic Algorithm for Community Detection in Social Networks Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-08 Harish Kumar Shakya, Kuldeep Singh, Yashvardhan Singh More, Bhaskar Biswas
This paper proposes an improvised algorithm named modified crossover opposition-based genetic algorithm (MCOBGA) for community detection with the help of genetic algorithm (GA) to discover community structure in social networks. The paper deploys modified crossover and opposition-based initialization along with GA to improve the quality of the community structures. Initialization of the population
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Estimating the Performance of Free Space Optical Communication in Rain Weather Conditions Using Various Models and Modified Duobinary Return to Zero Technique Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-10-08 S. Magidi, T. Pondani
Free space optical communication (FSO) system has remarkably gained importance of late due to the various advantages associated with it. However, before deployment of FSO communication system, an understanding of the laser beam scintillation due to the atmospheric as well as other weather-induced losses need to be understood. This paper mainly focuses on simulative performance analysis of an FSO system
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Iterative Descent Method for Generalized Leontief Model Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-14 R. Jana, A. K. Das, Vishnu Narayan Mishra
In this article, we show that under certain condition the generalized Leontief model is solvable by iterative descent method based on infeasible interior point algorithm. We prove the convergence of the method from strictly positive starting point. A numerical example is presented to demonstrate the performance of the algorithm.
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Generalized Type-2 Fuzzy Equivalence Relation Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-12 Dhiman Dutta, Mausumi Sen, Ashok Deshpande
This paper extends the concept of generalized equivalence relation on type-2 fuzzy set and presents a comprehensive study of type-2 fuzzy G-equivalence relation. Notions like partition of a type-2 fuzzy G-equivalence relation, type-2 fuzzy balance mappings in the type-2 fuzzy set theory are introduced and related theorems are discussed.
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Groundwater Quality Characterization of North Brahmaputra Basin using Positive Matrix Factorization Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-12 Richa Chaturvedi, Bodhaditya Das, Saumen Banerjee, Chira R. Bhattacharjee
This study applies positive matrix factorization (PMF) to 140 groundwater samples collected from four different Public Health Centers in North Brahmaputra basin, Assam, India. The aim of this technique is to identify and quantify the pollution sources (natural and anthropogenic) that affect the water quality. Multivariate statistical analysis, especially factor analysis, is successful in interpreting
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General Estimation Procedures of Population Mean in Two-Occasion Successive Sampling under Random Non-response Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-12 Mohd Khalid, G. N. Singh
In this paper, an attempt has been made to minimize the negative impact of random non-response in the estimation of population mean on current occasion in two-occasion successive sampling. A general class of estimators has been proposed, and their properties are studied under the assumptions that the number of sampling unit on which information may not be obtained follows a discrete probability distribution
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Generalized Estimation Procedure in Two-Occasion Rotation Patterns Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-11 G. N. Singh, Awadhesh K. Pandey, Mukti Khetan
This paper describes some proficient estimation procedures in the presence of multi-auxiliary variables to enhance the precision of estimates in two-occasion rotation sampling. Utilizing information on several auxiliary variables, which are considered to be a positive correlation with the study variables on both occasions, we have suggested some better estimation procedures. The behaviors of the proposed
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ANN and Neuro-Fuzzy Modeling for Shear Strength Characterization of Soils Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-09-11 Kumar Venkatesh, Yeetendra Kumar Bind
We examine the outcome of popular artificial neural network (ANN) and adaptive neuro-fuzzy inference system (ANFIS) for estimating the shear strength parameters of c − φ soil. A matrix of one hundred twelve datasets collected using in situ and laboratory tests to train and test the ANN and ANFIS models. Standard penetration test number of blows value along with the soil properties taken as input vectors
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Two-Component Mixture of Transmuted Fréchet Distribution: Bayesian Estimation and Application in Reliability Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-08-19 Muhammad Aslam, Rahila Yousaf, Sajid Ali
Transmuted distributions are skewed family of distributions and used to model and analyze reliability data. In this article, Bayesian estimation of the two-component mixture of transmuted Fréchet distribution assuming type-I right censored sampling scheme is discussed. In order to estimate the unknown parameters, we consider non-informative and informative priors under squared error loss function,
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On a Generalized Difference Sequence and Its Applications Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-08-17 Prasanta Beuria, Pinakadhar Baliarsingh, Laxmiprya Nayak
In this paper, we study the convergence of fractional difference sequences based on generalized difference operators of Baliarsingh. We establish some relations among the proposed difference operators and apply them to study the geometry of fractional derivatives of certain functions.
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Application of Hyper-generalized Quasi-Einstein Spacetimes in General Relativity Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-08-17 Nandan Bhunia, Sampa Pahan, Arindam Bhattacharyya
In this paper, we study the hyper-generalized quasi-Einstein (HGQE) warped product spaces with non-positive scalar curvature. This note deals with investigating of some geometric and physical properties of \((HGQE)_{n}\) manifolds. Next, we study the general relativistic viscous fluid \((HGQE)_{4}\) spacetimes with some physical applications. Lastly, we show the existence of \((HGQE)_{4}\) spacetimes
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Effect of pH and Boric Acid on Magnetic Properties of Electrodeposited Co Nanowires Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-08-14 Shivani Agarwal, Manvendra Singh Khatri
Arrays of Co nanowires of diameter ~ 200 nm have been prepared by electrodeposition into nanopores of anodic aluminum oxide templates. X-ray diffraction confirms that these nanowires consist of mostly hexagonal close-packed (hcp) or face-centered cubic (fcc) grains or a mixture of both. Scanning electron microscope confirms that these nanowires are continuous and parallel to each other. The effect
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Approximation by Integral form of Jain and Pethe Operators Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-08-14 Naokant Deo, Ram Pratap
In this paper, we consider the integral form of Jain and Pethe operators associated with the Baskakov operators and study some basic properties. We estimate the rate of convergence, Voronovskaja-type asymptotic estimate formula and weighted approximation of these operators.
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Linear Identification and Design of Optimal Controller for Multistage Fluidized Bed Dryer Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-31 Y Pydi Setty, D. Yogendrasasidhar, M. Siva
In many particulate industries, one of the major unit operations used is fluidized bed drying process. In industries, which process large amount of solids, continuous dryers play significant role. The multistage fluidized bed dryer is adapted in research to improve the drying efficiency of final product. The moisture content is an important controlled variable in any drying process. In the present
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Testing of Location Parameters Against Restricted Alternatives with Optimal Choice of Weights Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-31 Narinder Kumar, Manish Goyal
Testing of equality of populations is one of the fundamental problems in Science. In this paper, we propose a new class of nonparametric tests for testing of location parameters of the distribution of populations against restricted alternatives. The asymptotic distribution of the proposed test statistics is derived. In order to attain maximum efficiency of the proposed tests, a general optimal choice
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Ratio Estimators in the Presence of Outliers Using Redescending M-Estimator Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-30 Muhammad Noor-ul-Amin, Salah-Ud-Din Asghar, Aamir Sanaullah
In this paper, the ratio estimators are suggested which perform better than other ratio estimators in the presence of outliers using redescending M-estimator. For this purpose, we adopt the ratio estimators proposed by Kadilar and Cingi (Appl Math Comput 151:893–902, 2004) using robust regression. The proposed ratio estimators are based on redescending M-estimator proposed by Noor-ul-Amin et al. (J
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Study of Thermal Behaviour of Poly(Lactic) Acid Composites with Gamma Irradiated Luffa Fiber Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-30 Chhatrapati Parida, Kamal Lochan Mohanta, Subhashree Patra
Modification of surface of natural fibers by high-energy gamma irradiation (6 MV) is a competent process for enhancing the adhesion between fiber and matrix. Composites reinforced with natural fiber have gained a prominent place in the field of research and innovation due to the advantages such as low cost, lightweight and environment friendly. We have studied the thermal properties of biodegradable
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Effects of Electrolyte on CdO Films Obtained by Electrodeposition Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-30 Barış Altıokka, Ayça Kıyak Yıldırım
Electrodeposition method was used for synthesis of CdO thin films. In the experiments, 0.02 M CdCl2 and 0.02 M Cd(NO3)2were used as to be an electrolyte in various volumes. As concentration of Cd(NO3)2increased, film thicknesses and crystallite sizes decreased. Remarkable results were observed in the optical properties of the CdO thin films. As the volume of used Cd(NO3)2increased, the band gap also
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Modified Extreme Ranked Sets Sampling with Auxiliary Variable Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-30 Muhammad Noor-ul-Amin, Farah Arif, Muhammad Hanif
In this paper, a modified extreme ranked set sampling (MERSS) scheme is presented. The ratio estimator under the modified scheme is discussed, and expression of mean square error is derived. The performance of the ratio estimator under MERSS is compared with simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS), quartile ranked set sampling (QRSS) and extreme ranked
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Wijsman Lacunary $${\mathbf{\mathcal{I}}}$$ I -Invariant Convergence of Sequences of Sets Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-30 Erdinç Dündar, Nimet Pancaroğlu Akın, Uğur Ulusu
In this paper, we study the concepts of Wijsman lacunary \({\mathcal{I}}\)-invariant convergence \(\left( {{\mathcal{I}}_{\sigma \theta }^{W} } \right),\) Wijsman lacunary \({\mathcal{I}}^{ *}\)-invariant convergence \(\left( {{\mathcal{I}}_{\sigma \theta }^{ *W} } \right),\) Wijsman \(p\)-strongly lacunary invariant convergence \(\left( {[WN_{\sigma \theta } ]_{p} } \right)\) of sequences of sets
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MLP-ANN-Based Execution Time Prediction Model and Assessment of Input Parameters Through Structural Modeling Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-29 Anju Shukla, Shishir Kumar, Harikesh Singh
A multilayer perceptron–artificial neural network (MLP-ANN)-based prediction model is proposed to predict the execution time of tasks in cloud environment. Significant input parameters are identified and selected through interpretive structural modeling (ISM) approach. A prediction model is proposed for predicting the task execution time for varying number of inputs. The proposed model is validated
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Experimentally Designed Natural Light Induced Photocatalytic Performance of Nanostructured Eu 2 Ce 2 O 7 Synthesized by a Facile Solid State Method in Removal of Environmental Pollutant Malachite Green (MG) Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-29 Mina Dolatalizadeh, Mahdi Behzad, Shahin Khademinia, Ali Arab
Nanopowders of Eu2Ce2O7 were synthesized via solid-state reactions between Eu2O3 and (NH4)2Ce(NO3)6 raw materials at stoichiometric 1:1 Eu/Ce molar ratio at 800 °C (S1), 900 °C (S2), 1000 °C (S3) for 8 h and 1000 °C for 10 h (S4). The synthesized materials were characterized by powder X-ray diffraction (PXRD) technique. Structural analyses were performed by FullProf program employing profile matching
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Numerical Simulation of MHD Stagnation Point Flow of Micropolar Heat Generating and Dissipative Nanofluid : SLM Approach Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-29 G. S. Seth, B. Kumar, R. Nandkeolyar, V. K. Sinha
In the present paper, we study the magnetohydrodynamic stagnation point flow dealing with heat and mass transfer of a micropolar nanofluid influenced with heat generation and viscous dissipation. Nonlinear ordinary differential equations are obtained by applying suitable similarity transformation on the governing partial differential equations. These differential equations have been solved by successive
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Estimation of Ratio of Two Means Using Regression-Cum-Exponential Estimators in the Presence of Non-response Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-20 R. R. Sinha, Himani Dhingra, Priya Thakur
In the present paper, we study the regression-cum-exponential estimators for estimating ratio of two population means under two different situations. The bias and mean square errors (MSE) are obtained up to the first order of approximation and the conditions for attaining the minimum mean square error of suggested estimators are derived. Theoretical comparisons of suggested estimators with relevant
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Regression-Cum-Exponential Estimators for Product of Two Population Means Under Double Sampling the Non-respondents Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-18 R. R. Sinha, Suraj Gangwar, Shiwani Sharma
The present paper deals with the problem of estimating the product of two population means using the information of auxiliary character under double sampling the non-respondents. Two different cases are considered for suggesting the estimators to estimate the product of two population means. The bias and mean square errors are obtained up to the first order of approximation, and the conditions for
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Multiple Soliton Solutions for Nonlinear Differential Equations with a New Version of Extended F-Expansion Method Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-18 Yusuf Pandir, Nail Turhan
In this article, a new version of extended F-expansion method is suggested. A multiple Jacobi elliptic functions are presented in the solution function. We achieve analytical solutions of the (1 + 1)-dimensional dispersive long wave (DLW) equation and (2 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation using the new version of extended F-expansion method. Then, the single and the combined non-degenerative
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Bayesian Analysis of Two-Component Mixture of Weibull Distributions Using Approximation Techniques Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-18 Muhammad Aslam, Navid Feroze
We have considered the posterior estimation of two-component mixture of Weibull distribution under type-I right censoring. As the resultant Bayes estimators and posterior risks are not in close form, we have proposed Lindley’s approximation and importance sampling for the approximate solutions. The performance of the approximation methods and estimators under study has been compared using simulated
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Linear Fredholm Integro-Differential-Difference Equations and Their Effective Computation Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-07-18 Cai-lian Zhou, Song Xu, Lie-jun Xie
In this work, a new computational approach is proposed to solve the linear Fredholm integro-differential-difference equations with variable coefficients under the mixed conditions. This method yields the solution of the governing equation with the form of a linear combination of a special kind of basis functions. Those unknown coefficients of the solution of the given problem are determined by solving
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Availability Analysis of Machining System with Common Cause Failure, Inspection and Imperfect Repair Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-06-04 Madhu Jain, Pankaj Kumar
This investigation is concerned with the availability prediction of a non-Markovian model for the multi-component complex repairable manufacturing system. The system is prone to multiple types of failures, either due to an individual or common cause failure. The system can also fail catastrophically which may occur due to the incorrect start of the system or due to some errors by an untrained and inexperienced
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A Comparative Study of Cubic B-spline-Based Quasi-interpolation and Differential Quadrature Methods for Solving Fourth-Order Parabolic PDEs Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-06-04 R. C. Mittal, Sudhir Kumar, Ram Jiwari
In this work, we present two approaches for simulation of fourth-order parabolic partial differential equations. In the first method, cubic B-spline quasi-interpolation is used to approximate the spatial derivative of the dependent variable and forward difference to approximate the time derivative. In the second method, we have used modified cubic B-spline functions-based differential quadrature method
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A Study to Establish Regression Correlation Between Shear Wave Velocity and “ N ”-Value for Varanasi City, India Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-06-03 Manjari Singh, Shashi Kant Duggal, V. P. Singh
In the present study, MASW tests have been performed at thirteen locations of Varanasi city to measure shear wave (SW) velocity. Varanasi city (Uttar Pradesh, India) is under high seismic risk as it is situated in Indo-Gangetic plain, which falls under seismically active Himalayan belt. Measured SW velocity from MASW test was used to estimate \(V_{\text{s}}^{30}\) for site classification (IBC 2009)
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Effects of Anisotropic Roughness on MHD Flow Near a Rotating Disk Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-06-03 Suman Sarkar, Bikash Sahoo, K Vikas, Golam Mortuja Sarkar
In this paper, we prove the existence of solution of the self-similar equations representing the swirling flow of an electrically conducting viscous fluid near an infinite rough rotating disk. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. Numerical solutions of the resulting system of nonlinear equations are also obtained over the entire range
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On Generalized Kropina Change of Generalized m -th Root Finsler Metrics Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-05-21 Bankteshwar Tiwari, Manoj Kumar, Akbar Tayebi
In this paper, we study the generalized Kropina change of generalized m-th root metrics. We find the conditions under which the generalized Kropina change of generalized m-th root metrics to be locally projectively flat and locally dually flat. Further, we find the conditions under which such transformed metric of constant flag curvature reduces to a flat Finsler metric.
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Investigations for Wear Characteristics of Aluminium-Based Metal Matrix Composite Prepared by Hybrid Reinforcement Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-05-19 Swarndeep Singh, Rupinder Singh, Simranpreet Singh Gill
In this study, an attempt has been made to investigate the wear characteristics of aluminium (Al) 6063 alloy reinforced with Al2O3/SiC/Al2O3 + SiC particles of double particle size (DPS) and triple particle size (TPS). The hybrid Al-metal matrix composites (MMC’s) were prepared by using a synergistic combination of fused deposition modeling and V-process assisted stir casting and wear performance was
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Exponential Spline Solution of Boundary Value Problems Occurring in the Plate Deflection Theory Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-04-03 Arshad Khan, Shilpi Bisht
In this paper, we develop a class of methods based on exponential spline at off-step points for the solution of the nonlinear and linear fourth-order boundary value problems (BVPs). Spline relations and boundary equations are developed, and the methods of order two, four and six have been obtained. Convergence analysis of the method is discussed. Numerical examples for linear and nonlinear BVPs are
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Some Inequalities for the First General Zagreb Index of Graphs and Line Graphs Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-04-02 B. Chaluvaraju, H. S. Boregowda, Ismail Naci Cangul
The first general Zagreb index \(M^{\alpha }_{1}(G)\) of a graph G is equal to the sum of the \(\alpha \)th powers of the vertex degrees of G. For \(\alpha \ge 0\) and \(k \ge 1\), we obtain the lower and upper bounds for \(M^{\alpha }_{1}(G)\) and \(M^{\alpha }_{1}(L(G))\) in terms of order, size, minimum/maximum vertex degrees and minimal non-pendant vertex degree using some classical inequalities
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Another Proof of a Supercongruence Conjecture of Z.-W. Sun Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-04-02 Gautam Kalita
Another proof of a supercongruence conjecture of Sun has been given in this paper, using tools of Gaussian hypergeometric series and the p-adic \(\Gamma\)-function together with a combinatorial identity.
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Influence on Estimation of Mean by Using Quartile Paired Double Ranked Set Sampling Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-04-02 Muhammad Noor-ul-Amin, Muhammad Tayyab
In this paper, we present an efficient quartile paired double ranked set sampling (QPDRSS) scheme to estimate the population mean. QPDRSS provides an unbiased improved population mean estimator when the distribution is symmetric and bears negligible biasness for non-symmetric distribution. The performance of the proposed mean estimator is compared to its competitors in simple random sampling, double
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Secure Path Key Establishment Schemes Based on Random Key Management for WSN Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-03-11 Priyanka Ahlawat, Mayank Dave
A large number of the path key establishment schemes regard same probability of the node capture attack for each node in the wireless sensor networks. However, in certain critical applications this statement may not be right making such schemes less practical for many real-world applications like border surveillance and disaster management. In this paper, an attack matrix (AM) is designed to calculate
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Cubic Intuitionistic Implicative Ideals of BCK -Algebras Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-03-11 Tapan Senapati, Young Bae Jun, K. P. Shum
The cubic intuitionistic implicative ideals in BCK-algebras and the relationship between a cubic intuitionistic subalgebra, a cubic intuitionistic ideal and a cubic intuitionistic implicative ideal are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic implicative ideal are provided. Characterizations of a cubic intuitionistic implicative ideal are considered. The cubic
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Time-Dependent Nonlinear Finite Difference Analysis of Buoyancy-Driven Convective Flow over an Oscillating Porous Moving Vertical Cylinder Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-03-10 Loganathan Parasuraman, Dhivya Mohanavel
The thermal and mass boundary layer flow of a time-dependent isochoric viscous fluid over an oscillating cylinder entrenched in a porous medium is investigated numerically. The governing problem contains a set of coupled nonlinear partial differential equations with significant initial and boundary conditions and are solved using an implicit finite difference scheme, namely Crank–Nicholson method.
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Möbius Action of SL (2; $${\mathbb {R}})$$R) on Different Homogeneous Spaces Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2020-03-02 Debapriya Biswas, Sandipan Dutta
In this paper, we have considered all the possible continuous subgroups of the Lie group \(SL(2;{\mathbb {R}})\) (upto conjugacy) from dimension zero to three. For each of the classification, we have defined group action on the same line as Kisil. Möbius transformation has been taken as the corresponding action. This action is defined on the homogeneous spaces of various dimensions generated by the
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Effect of Annealing Temperature on Structural, Photoluminescence and Photoconductivity Properties of ZnO Thin Film Deposited on Glass Substrate by Sol–Gel Spin Coating Method Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-11-16 Mohd. Mubashshir Hasan Farooqi, Rajneesh Kumar Srivastava
In this work, zinc oxide (ZnO) thin films have been deposited on glass substrate using a simple and inexpensive multi-step sol–gel spin coating method at annealing temperatures of 300, 400, 500 and 600 °C in an open atmosphere. The influence of annealing on structural, photoluminescence and photoconductivity properties of ZnO thin films has been systematically investigated. X-ray diffraction pattern
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On the Smarandache Curves of Spatial Quaternionic Involute Curve Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-11-11 Süleyman Şenyurt, Ceyda Cevahir, Yasin Altun
In this study, the spatial quaternionic curve and the relationship between Frenet frames of involute curve of spatial quaternionic curve are expressed by using the angle between the Darboux vector and binormal vector of the basic curve. Secondly, the Frenet vectors of involute curve are taken as position vector and curvature and torsion of obtained Smarandache curves are calculated. The calculated
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Isotopic Classes of Transversals in Dihedral Group D 2n , n Odd Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-08-05 Surendra Kumar Mishra, R. P. Shukla
In this paper, we determine the number of isotopic classes of transversals of a subgroup of order 2 in D2n (n is a positive odd integer greater than 1), where isotopism classes are formed with respect to the induced right loop structures. We also determine the cyclic index of the affine group Aff\((1,p^{2})\), where p is an odd prime.
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Smarandache-Alpha Fuzzy Normal Subsemigroups in Smarandache-Alpha Fuzzy Semigroups Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-08-03 R. Gowri, T. Rajeswari
The notion of S-\(\alpha \) fuzzy cosets with representative \(x_{t}\) and S-\(\alpha \) fuzzy normal subsemigroups are introduced, and some equivalent conditions are given. It is also proved that the set of all S-\(\alpha \) fuzzy cosets will form a semigroup under a suitable binary operation and its structure properties are determined. A necessary and sufficient condition for an S-\(\alpha \) fuzzy
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A Multivariate Exponential Estimator for Vector of Population Means in Two-Phase Sampling Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-07-29 Aamir Sanaullah, Ayesha Ayaz, Muhammad Hanif
This study is concerned with construction of the generalized multivariate exponential estimator for estimating a population mean vector in the two-phase sampling using multi-auxiliary variables when population information for some auxiliary variables is not available. The optimum conditions which provide the matrix of minimum variance–covariance are obtained for the suggested estimator. Further, a
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Forced Vibration Analysis in Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Under Dynamic Pressure Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-07-27 Dinesh Kumar Sharma, Himani Mittal, Sita Ram Sharma
The forced vibrations of axisymmetric inhomogenous isotropic viscothermoelastic hollow cylinder under periodic dynamic pressure have been studied. The material was taken inhomogenous due to easy exponent law in radial direction. By applying time harmonics variation technique, the partial differential equations were converted into ordinary differential equations. These ordinary differential equations
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A Note on J -colouring of Jahangir Graphs Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-07-27 Sudev Naduvath, Johan Kok
In this paper, we discuss J-colouring of the family of Jahangir graphs. Note that the family of Jahangir graphs is a wide ranging family of graphs which by a generalised definition includes wheel graphs. We characterise the subset of Jahangir graphs which admit a J-colouring.
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Gamma Radiation Studies on Organic Nonlinear Optical Materials in the Energy Range 122–1330 keV Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-07-27 V. V. Awasarmol, D. K. Gaikwad, Shamsan S. Obaid, P. P. Pawar
Gamma ray mass attenuation of some nonlinear optical (NLO) materials has been studied experimentally using transmission experiment in the energy range 122–1330 keV. The selected NLO materials were radiated by radioactive point sources (57Co, 133Ba, 22Na, 137Cs and 60Co) of strength 5 mCi. Theoretical values were calculated on the basis of mixture rule using WinXCOM program. Good agreement between theoretical
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Nanostructural and Electrical Properties of Al/Sn/La 2 O 3 Nanocomposite as a Gate Dielectric of MOSFETs Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (IF 0.921) Pub Date : 2019-07-27 Masoud Ebrahimzadeh, Mehrnoush Nakhaei, Mansoure Padam, Ali Bahari
Metal–oxide–semiconductor field-effect transistors (MOSFETs) have significant role on producing the electronic devices. The producers try to make the chips in smaller size so they need materials with high dielectric constant. Here, in this research, Al/Sn/La2O3 will introduce as a material with higher dielectric constant and less defections. In this research, Al/Sn/La2O3 nanostructure was prepared