This paper studies the geometry of immersions into statistical manifolds. A necessary and sufficient condition is obtained for statistical manifold structures to be dual to each other for a non-degenerate equiaffine immersion. Then, we obtain conditions for realizing an n-dimensional statistical manifold in an \((n+1)\)-dimensional statistical manifold and its converse. Centro-affine immersion of codimension

We study the problem to determine the degree of approximation of \(f\in L[0, \infty )\) by Cesàro means of order \(\lambda \ge 1\) of the Fourier–Laguerre series of f for any \(x >0.\) We prove the result for \(x=0\) separately.

In this paper, experimental investigation of terrestrial free space optical communication (TFSOC) at latitude 10.66° and longitude 79.05° under different weather is proposed. Optical signal intensity fluctuations, optical path length, meteorological parameters and wavefront profile study have been measured over a range of visibility (m), temperature (°C), pressure (kPA), relative humidity (%) and wind

A novel radix-4 Booth encoding scheme has been presented in this paper. By means of the modified truth table, the transistor level delay from inputs to the partial products has been reduced to four transistors. Also, the output waveforms are free of glitch due to the utilization of pass-transistor logic. The calculation of propagation delay for the critical path has been provided to show the superior

In this paper, the approximate analytical solution for the propagation of a blast (shock) wave in a rotating perfect gas in the case of cylindrical geometry is studied. The axial and azimuthal components of fluid velocity are taken into consideration, and these flow variables in the undisturbed medium are assumed to be varying according to the power laws with distance from the symmetry axis. The shock

Compressional study of Hg from 1 to 13 kbar pressures at three different temperatures (295.05 K, 313.65 K and 326.05 K) has been carried through thermodynamic properties (Pint, γ, Г) deduced theoretically from ρ and u data. Such study has also been presented using acoustical non-linearity parameter (B/A). Empirical correlations between ρ–u-thermodynamic properties were applied to Hg, for the first

In this study, the magnitude of lining pressure required for stability of an elliptical tunnel in cohesive-frictional soil has been determined by using lower bound limit theorem in conjunction with finite elements and linear programing optimization technique. A uniform normal pressure (σi) is applied on the tunnel periphery to support the tunnel by means of lining or anchorage system. The evaluated

This paper deals with the Noether symmetry and conserved quantity for Birkhoffian system with delayed arguments in version of time scales. Firstly, the Pfaff–Birkhoff principle with delayed arguments in which the variables are defined on time scales is established, through which the corresponding time-delayed Birkhoff’s equations on time scales are derived. Secondly, the invariance of the Pfaff action

The present paper deals Bochner Ricci pseudo-symmetric mixed generalised quasi-Einstein–Hermitian manifolds, holomorphically projective Ricci pseudo-symmetric mixed generalised quasi-Einstein–Hermitian manifolds and investigated these through different approaches.

The observation based on field as well as secondary data collected from the various observation wells in the district of Varanasi during pre- and post-monsoon periods which show continuous decline in the groundwater level during the year 2009–15 except year 2012. After the analysis of hydrogeological and rainfall data, the groundwater behaviour of the area has been accessed. The correlation among rainfall

In the present study, analysis of surface weather parameters and energy fluxes has been carried out over the Indian Antarctic stations Maitri and Bharati. For this purpose, weather parameters taken from three different reanalysis datasets are compared against automatic weather station (AWS) observations during the period from 1991 to 2010. Results suggest that the European centre for medium-range weather

Using fuzzy logic, celiac disease has been diagnosed using common celiac disease symptoms like abdominal pain, anemia, weight loss, diarrhea, vomiting and BMI for producing the single probable value so that the individual may avoid clinical testing procedure. The proposed system has been implemented in Python language which produced better results with measured values using the de-fuzzification approach

The present study estimates the uplift capacity of the under-reamed pile in clay with a linearly increasing undrained cohesion. The uplift capacity of the under-reamed pile is presented in the form of a non-dimensional factor Fcu. The following parameters are considered for estimating the uplift capacity: embedment length of under-reamed pile to shaft diameter ratio (Lu/D), normalized bulb distance

In this paper, the wavelet transform for Boehmians is investigated by applying the theory of wavelet convolution associated with Fourier convolution. Operational properties are also discussed.

In the present paper, we propose the efficient algorithm for the parameter reduction of soft sets and we implement it in diagnosing the risk of heart disease problem. Moreover, the efficiency of the algorithm is investigated. The time complexity of the \({\textit{Map}}_-{\textit{Matix}}\) is given by total number of comparisons made to construct \({\textit{map}}_-{\textit{matrix}}\). For n number of

In this study, we analyze Markov model for the performance prediction of failure prone machining device that operates under the fault tolerance measures and admission control policy. The threshold-based admission policy is proposed to examine the functioning of designed fault tolerance system. The stationary queue size distribution of failed machines has been established using a recursive approach

The electronic, magnetic and structural properties of rutile VO2 are investigated by employing density functional theory (DFT). In the high-temperature tetragonal structure (I42/mnm), VO2 is a nonmagnetic metal. All the V-t2g states are partially occupied by the single V 3d electron, which is responsible for the metallic behavior of VO2. The electronic and magnetic properties of rutile VO2 change significantly

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

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

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

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

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

In this paper, we present the concept of complex uncertain triple sequences and study almost convergence therein. Almost convergence with respect to all five aspects in uncertain space, viz., almost convergence in mean, measure, distribution, almost surely and uniformly almost surely, are initiated and interrelationships among them are established. We have also studied almost Cauchy triple sequence

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

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

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

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

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

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

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.

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.

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

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

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

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

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,

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.

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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