Abstract: In this article, we introduce and study a new class of operators, larger than -normal operators and different than -normal operators, named -quasi--normal operators. Considering the semi-inner product induced by a positive operator , the -quasi--normal operators turn into a generalization (for this new structure) of classical -quasi--normal operators. Several results concerning properties of this kind of operators are presented in the paper. Several inequalities for the -numerical radius and -operator norm for members of this class are established. PubDate: Fri, 20 May 2022 07:35:01 +000
Abstract: Octa Graphene is a carbon nanosheet constructed by octagons and squares to build a unit cell. Topological properties of nano sheets based on Octa graphene are investigated in this article for the first time. Octa Graphene play a role as a Nano carrier for drug delivery and plays vital role in cell base drug delivery applications. Two structures, Namely Octa-Grayphyne and Octa-Graphdine are investigated topically in this article. Mechanically Octa-Grayphyne and Octa-Graphdine are of immense interest in Nano structural batteries and other Nano devices. The ultimate value of these Nano sheets in nano electronics can be interpreted by observing their electronic structure and vibrational properties. PubDate: Fri, 20 May 2022 05:05:01 +000
Abstract: In order to study the role of tai chi curve algorithm in economic geography and natural ecological management and explore the application value of tai chi curve algorithm and its model, this study discusses the principle of Chinese tai chi diagram, using mathematical model construction method by the previous tai chi map and Pythagoras theorem clever results, produced the tai chi graph s curve algorithm, and discusses the application value of tai chi curve algorithm and its model from different angles; this study takes Zhangye geography as an example, which provides an applied research direction for the future scientific research of Chinese economic geography and also provides a clever connection with ecological correlation and nature; finally, it is found that the Taiji graph s curve algorithm can calculate the corresponding Yin and Yang values according to the balance point and relative deviation amount of the attribute state, and the results have an extraordinary influence in economic geography, information management system, natural ecology, and other aspects. PubDate: Fri, 20 May 2022 04:35:02 +000
Abstract: In this study, we intend to investigate the steady-state and laminar flow of a viscous fluid through a circular cylinder fixed between two parallel plates keeping the aspect ratio of 1 : 5 from cylinder radius to height of the channel. The two-dimensional, incompressible fluid flow problem has been simulated using COMSOL Multiphysics 5.4 which implements finite element’s procedure. The flow pattern will be investigated by using the Reynolds number from 100 to 1000. The reattachment length formed at the back of the cylinder and drag force when the fluid comes to strike with the front surface of the cylinder is expressed in terms of Reynolds numbers. We propose to calculate the velocity and the pressure before and after the cylinder. For this purpose, two-line graphs before and after the cylinder will be drawn to check the impact of cylinder on both velocity and pressure. It was found that the percentage change in the velocity as well as pressure before to after the cylinder is changing their behaviours at Re = 700. The study is important because the empirical equations between the vortex’s lengths formed along the cylinder using the linear regression process obtained in this study may be used for future implementation. PubDate: Thu, 19 May 2022 17:35:03 +000
Abstract: A topological index is a real number obtained from the chemical graph structure. It is helpful to calculate the physicochemical and biological properties of numerous drugs. This is done through degree-based topological indices. In this paper, acarbose, tolazamide, miglitol, prandin, metformin, and so on used to treat diabetes are discussed, and the purpose of the QSPR study is to determine the mathematical relation between the properties under investigation (e.g., boiling point and flash point) and different descriptors related to the molecular structure of the drugs. In this study, it is observed that topological indices (TIs) applied to said drugs have a good correlation with physicochemical properties in this course. PubDate: Thu, 19 May 2022 17:35:03 +000
Abstract: Forestry resources play an irreplaceable role in solving the problem of climate change. Forest managers to find a balance between carbon sinks and forest products, decisions must therefore take into account many aspects of forest value. This paper clarifies that forest carbon sequestration is mainly influenced by three aspects: human, climate, and nonclimatic physical factors, constructs a model for estimating the carbon sequestration rate of forest ecosystems based on forest age and the logistic growth equation, and combines human behaviour and climate influencing factors to make comprehensive corrections to the carbon sequestration rate of forest ecosystems per unit area. A model for calculating the carbon sequestration rate over time in a forest system was developed, which combined with the DeepAR Algorithm to obtain carbon sequestration. Then, this paper then assesses the various values of the forest, dividing the 25 factors affecting forest value assessment into five indices to establish a model of the forest ecosystem value assessment system for application to forest value assessment under different conditions. After determining the index system, we use the EWM-CVM to integrate the indexes into the value index based on the forest ecosystem to propose a management plan. And the PSO-BP algorithm is used to determine the transition point for forest management in order to optimise the ecological value of the forest. PubDate: Thu, 19 May 2022 09:20:00 +000
Abstract: The usage of the ridge estimators is very common in presence of multicollinearity in multiple linear regression models. The ridge estimators are used as an alternative to ordinary least squares in case of multicollinearity as they have lower mean square error. Choosing the optimal value of the biasing parameter k is vital in ridge regression in terms of bias-variance trade off. Since the theoretical comparisons among the ridge estimators are not possible, it is general practice to carry out a Monte Carlo study to compare them. When the Monte Carlo designs on the existing ridge estimators are examined, it is seen that the performances of the ridge estimators are only considered for the same level of relationship between the independent variables. However, it is more likely to encounter different levels of relationships between the independent variables in real data sets. In this study, a new type iterative ridge estimator is proposed based on a modified form of the estimated mean square error function. Furthermore, a novel search algorithm is provided to achieve the estimations. The performance of the proposed estimator is compared with that of the ordinary least squares estimator and existing 18 ridge estimators through an extensive Monte Carlo design. In the design of the Monte Carlo, both data generation techniques were taken into account, based on the constant and varying correlation levels between the independent variables. Two illustrative real data examples are presented. The proposed estimator outperforms the existing estimators in the sense of the mean squared error for both data generating types. Moreover, it is also superior with respect to the k-fold cross-validation method in the real data examples. PubDate: Wed, 18 May 2022 04:50:01 +000
Abstract: We propose a trigonometric generalizer/generator of distributions utilizing the quantile function of modified standard Cauchy distribution and construct a logistic-based new G-class disbursing cotangent function. Significant mathematical characteristics and special models are derived. New mathematical transformations and extended models are also proposed. A two-parameter model logistic cotangent Weibull (LCW) is developed and discussed in detail. The beauty and importance of the proposed model are that its hazard rate exhibits all monotone and non-monotone shapes while the density exhibits unimodal and bimodal (symmetrical, right-skewed, and decreasing) shapes. For parametric estimation, the maximum likelihood approach is used, and simulation analysis is performed to ensure that the estimates are asymptotic. The importance of the proposed trigonometric generalizer, G class, and model is proved via two applications focused on survival and failure datasets whose results attested the distinct better fit, wider flexibility, and greater capability than existing and well-known competing models. The authors thought that the suggested class and models would appeal to a broader audience of professionals working in reliability analysis, actuarial and financial sciences, and lifetime data and analysis. PubDate: Tue, 17 May 2022 17:50:10 +000
Abstract: In this study, the main focus is on an investigation of the sufficient conditions of existence and uniqueness of solution for two-classess of nonlinear implicit fractional pantograph equations with nonlocal conditions via Atangana–Baleanu–Riemann–Liouville (ABR) and Atangana–Baleanu–Caputo (ABC) fractional derivative with order . We introduce the properties of solutions as well as stability results for the proposed problem without using the semigroup property. In the beginning, we convert the given problems into equivalent fractional integral equations. Then, by employing some fixed-point theorems such as Krasnoselskii and Banach’s techniques, we examine the existence and uniqueness of solutions to proposed problems. Moreover, by using techniques of nonlinear functional analysis, we analyze Ulam–Hyers (UH) and generalized Ulam–Hyers (GUH) stability results. As an application, we provide some examples to illustrate the validity of our results. PubDate: Tue, 17 May 2022 17:50:10 +000
Abstract: In this article, we study the fundamental notions of digital Hopf and co-Hopf spaces based on pointed digital images. We show that a digital Hopf space, a digital associative Hopf space, a digital Hopf group, and a digital commutative Hopf space are unique up to digital homotopy type; that is, there is only one possible digital Hopf structure up to digital homotopy type on the underlying digital image. We also establish an equivalent condition for a digital image to be a digital Hopf space and investigate the difference between ordinary topological co-Hopf spaces and their digital counterparts by showing that any digital co-Hopf space is a digitally contractible space focusing on deep-learning methods in imaging science. PubDate: Tue, 17 May 2022 10:35:02 +000
Abstract: In order to improve the effect of physics teaching, this study combines digital simulation technology to construct a physical immersion teaching system to improve the effect of physics teaching in colleges and universities. Moreover, this study transforms abstract physical knowledge into recognizable digital physical images and realizes the idea of multifeature fusion through reasonable feature selection and the use of a classifier algorithm suitable for the subject of this paper. In addition, this study proposes a new algorithm based on the morphological features of geometric images, which combines the transformation detection method of cluster analysis to realize the intelligent processing of images. Finally, this study verifies the effectiveness of the physical immersion teaching system based on fuzzy intelligence and digital simulation technology through experimental research. The results show that the system can effectively improve the effect of physics teaching. PubDate: Tue, 17 May 2022 10:35:01 +000
Abstract: Many nonlinear phenomena are modeled in terms of differential and integral equations. However, modeling nonlinear phenomena with fractional derivatives provides a better understanding of processes having memory effects. In this paper, we introduce an effective model of iterative fractional partial integro-differential equations (FPIDEs) with memory terms subject to initial conditions in a Banach space. The convergence, existence, uniqueness, and error analysis are introduced as new theorems. Moreover, an extension of the successive approximations method (SAM) is established to solve FPIDEs in sense of Caputo fractional derivative. Furthermore, new results of stability analysis of solution are also shown. PubDate: Tue, 17 May 2022 10:20:03 +000
Abstract: In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation with a fixed positive integer in the context of -Banach space. In non-Archimedean -normed space, we also verify Hyers–Ulam stability for the quartic functional equation stated. Many of the findings in the literature are improved and generalized by our findings. PubDate: Tue, 17 May 2022 06:05:01 +000
Abstract: A radio labeling of a simple connected graph is a function such that , where diam is the diameter of graph and d(x, y) is the distance between the two vertices. The radio number of , denoted by rn, is the minimum span of a radio labeling for . In this study, the upper bounds for radio number of the triangular snake and the double triangular snake graphs are introduced. The computational results indicate that the presented upper bounds are better than the results of the mathematical model provided by Badr and Moussa in 2020. On the contrary, these proposed upper bounds are better than the results of algorithms presented by Saha and Panigrahi in 2012 and 2018. PubDate: Mon, 16 May 2022 12:50:03 +000
Abstract: The concept of fuzzy derivation of ideals of BF algebra is introduced. In addition, fuzzy left derivation of ideals of BF-algebras and fuzzy right derivation of ideals of BF- algebra are discussed. We also investigated fuzzy left (right) derivation of Cartesian product of ideals of BF-algebra. We initiated the idea of level cut in fuzzy derivation of ideals of BF-algebra and showed that the intersection of any set of left (right) fuzzy derivations of ideals of BF-algebra is also fuzzy left (right) derivation of ideals of BF-algebra. PubDate: Sat, 14 May 2022 17:20:07 +000
Abstract: For any and given nonempty subset , the concept of -superhypergraphs is introduced by Florentin Smarandache based on (-th power set of ). In this paper, we present the novel concepts supervertices, superedges, and superhypergraph via the concept of flow. This study computes the number of superedges of any given superhypergraphs, and based on the numbers of superedges and partitions of an underlying set of superhypergraph, we obtain the number of all superhypergraphs on any nonempty set. As a main result of the research, this paper is introducing the incidence matrix of superhypergraph and computing the characteristic polynomial for the incidence matrix of superhypergraph, so we obtain the spectrum of superhypergraphs. The flow of superedges plays the main role in computing of spectrum of superhypergraphs, so we compute the spectrum of superhypergraphs in some types such as regular flow, regular reversed flow, and regular two-sided flow. The new conception of superhypergraph and computation of the spectrum of superhypergraphs are introduced firstly in this paper. PubDate: Sat, 14 May 2022 17:20:07 +000
Abstract: This paper proposes an idea of combining the Meyer Shearlet and mathematical morphology to produce the edge detection of pathological sections of the colon. First, the method of constructing a class of sufficiently smooth sigmoid functions along with its relative scale function and Meyer wavelet function is provided in this paper. Based on those, in order to get the new Meyer wavelet function, we use the sigmoid function to construct more general scale functions. Next, taking sufficiently smooth sigmoid functions as examples, combining the relative Meyer wavelet and Shearlet to denoise some pathological sections of the colon leads a decent feedback. At last, this paper provides an improved algorithm for the edge detection of mathematical morphology with the background of multiscale and multistructure. This algorithm is used to carry out the edge detection of images after denoising yields a new edge detection algorithm that fuses the Meyer Shearlet denoising and mathematical morphology. According to the simulation results, the new algorithm is more beneficial for the observation and diagnosis of doctors since the edge noise of the colon pathological image detected by the new algorithm is smaller and provides more continuous and clear lines. Therefore, the fusion algorithm provided in this paper is an effective way to carry out the edge detection of an image. PubDate: Sat, 14 May 2022 17:20:06 +000
Abstract: Roll motion is one of the key motions related to a vessel’s dynamic stability. It is essential for the dynamic stability of ships in the realistic sea. For this research study, we have investigated the parameters involved in damping of the ship. In general, mathematical modelling of the rolling response of a ship can be formulated by the linear, nonlinear, and fractional differential equations because the amplitude of oscillation is increased. An efficient Genocchi polynomial approximation method (GPAM) is successfully applied for the biased ship roll motion model. The basic idea of the collocation method together with the operational matrices of derivatives used for nonlinear differential equation and convert it into a system of algebraic equations. The convergence and error analysis of the proposed method are also discussed. A few numerical experiments are carried out for some specific and important types of problems including the biased roll motion equations. The results are compared to those produced using the Legendre wavelet method (LWM) and the homotopy perturbation method (HPM). It is observed that the proposed spectral algorithm is robust, accurate, and easy to apply. PubDate: Sat, 14 May 2022 17:20:06 +000
Abstract: In recent times, the applications of graph theory in molecular and chemical structure research have far exceeded human expectations and have grown exponentially. In this paper, we have determined the multiplicative Zagreb indices, multiplicative hyper-Zagreb indices, multiplicative universal Zagreb indices, sum and product connectivity of multiplicative indices, multiplicative atom-bond connectivity index, and multiplicative geometric-arithmetic index of a famous crystalline structure, magnesium iodide . PubDate: Sat, 14 May 2022 17:20:06 +000
Abstract: Crystal structures are of great scrutiny due to the elegant and well-ordered symmetry that influences a significant role in determining numerous physical properties. Our aim is to perceive the role of topological descriptors in the field of crystallography using chemical graph theory to examine symmetrical crystal structure HEX. Simple hexagonal (HEX) is a crystal structure formed by arranging the same layer of atoms in a hexagon with one additional atom at the center. Chemical graph theory allows us to study a variety of molecular structures via graphical representation where each atom is denoted as a vertex and the bond form between them is defined as edge. In this research work, we compute the general Randi index, atom bond connectivity index, geometric arithmetic index, first and second Zagreb indices. Furthermore, we will compute their neighborhood and reverse degree-based versions and visualize which descriptor stands high in accordance with its numerical value. PubDate: Sat, 14 May 2022 17:20:06 +000
Abstract: COVID-19, which has spread all over the world and was declared as a pandemic, is a new disease caused by the coronavirus family. There is no medicine yet to prevent or end this pandemic. Even if existing drugs are used to alleviate the pandemic, this is not enough. Therefore, combinations of existing drugs and their analogs are being studied. Vaccines produced for COVID-19 may not be effective for new variants of this virus. Therefore, it is necessary to find the drugs for this disease as soon as possible. Topological indices are the numerical descriptors of a molecular structure obtained by the molecular graph. Topological indices can provide information about the physicochemical properties and biological properties of molecules in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies. In this paper, some analogs of lopinavir, favipiravir, and ritonavir drugs that have the property of being potential drugs against COVID-19 are studied. QSPR models are studied using linear and quadratic regression analysis with topological indices for enthalpy of vaporization, flash point, molar refractivity, polarizability, surface tension, and molar volume properties of these analogs. PubDate: Sat, 14 May 2022 11:05:01 +000
Abstract: Theoretical investigation of magnetohydrodynamics (MHD) Casson and Williamson fluid flow and heat and mass transfer in laminar flow through a stretching sheet in the presence of heat generation is carried out in this study. The convective wall temperature and convective wall mass boundary condition are taken into account in this study. A study is also provided, which looks into the impact of viscous dissipation. Except for a temperature-dependent thermal conductivity, all properties of the proposed model are assumed to be constants in the study. The spectral collocation method based on the shifted Vieta–Lucas polynomials is used to give an approximate formula for the -order derivative and solve numerically the coupled momentum, energy, and mass equations. This method is used to convert the problem’s system of ordinary differential equations (ODEs) into a nonlinear system of algebraic equations. This system is built as a restricted optimization problem and optimized to obtain the series solution’s unknown coefficients. Some theorems are provided to investigate the method’s convergence. The statistics, which are given visually, were compared to the results of other researchers’ theoretical analysis. PubDate: Sat, 14 May 2022 11:05:01 +000
Abstract: University physical education is an important public basic course in colleges and universities. The traditional teaching is usually within the class time specified in the training program; the teacher teaches the students the basic physical education fundamentals so that the students can master the basic skills of sports, thus improving the students’ sports level and physical quality. An improved genetic algorithm is proposed to reduce the problem of slow convergence and partial convergence of the fundamental genetic algorithm for intelligent grouping systems. To ensure the group’s stability and variety, the algorithm can rapidly extend the search space by repeatedly rejecting similar individuals. Therefore, this study proposes a new method of intelligent grouping based on the improved genetic algorithm. The new method can overcome the problem of premature convergence of the algorithm more efficiently and easily than the traditional algorithm. A large number of experiments have proved that the proposed algorithm meets all the requirements of physical education very well. The algorithm can automatically generate test papers with moderate difficulty and reasonable structure. PubDate: Sat, 14 May 2022 06:50:01 +000
Abstract: In the context of stratified sampling, we develop a nonparametric regression technique to estimating finite population quantiles in model-based frameworks using a multiplicative bias correction strategy. Furthermore, the proposed estimator’s asymptotic behavior is presented, and when certain conditions are met, the estimator is observed to be asymptotically unbiased and asymptotically consistent. Simulation studies were conducted to determine the proposed estimator’s performance for the three quartiles of two fictitious populations under varied distributional assumptions. Based on relative biases, mean-squared errors, and relative root-mean-squared errors, the proposed estimator can be extremely satisfactory, according to these findings. PubDate: Fri, 13 May 2022 05:35:01 +000
Abstract: A Stević–Sharma operator denoted by is a generalization product of multiplication, differentiation, and composition operators. Using several restrictive terms, we characterize an approximation of the essential norm of the Stević–Sharma operator from a general class of holomorphic function spaces into Zygmund-type spaces with some of the most convenient test functions on the open unit disk. As an application, we show that our results hold up for several other domain spaces of , such as the Hardy space and the weighted Bergman space. PubDate: Thu, 12 May 2022 17:35:02 +000
Abstract: Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied -analogues of Catalan-Daehee numbers and polynomials by making use of -adic -integrals on . Motivated by this study, we consider -analogues of degenerate Catalan-Daehee numbers and polynomials with the help of -adic -integrals on . By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we also derive some new identities and properties of this type of polynomials and numbers. PubDate: Thu, 12 May 2022 17:35:02 +000
Abstract: This paper is concerned with persistence of heteroclinic cycles connecting repellers in Banach spaces. It is proved that if a map with a regular and nondegenerate heteroclinic cycle connecting repellers undergoes a small perturbation, then the perturbed map can still have a regular and nondegenerate heteroclinic cycle connecting repellers. The perturbation rang is given by an explicit positive constant according to the properties of the original map. Hence, the perturbed map and the original map are simultaneously chaotic in the sense of both Devaney and Li-Yorke. Especially, the persistence of heteroclinic cycles connecting repellers is also discussed in the Euclidean space, where the repellers can expand in different norms. Finally, three examples are provided to illustrate the validity of the theoretical results. PubDate: Thu, 12 May 2022 13:05:01 +000
Abstract: In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem. The approximate and exact solutions are displayed in the form of series in the reproduction kernel space. In addition, we provide an error analysis for this technique. The presented method is tested by some examples to show its precision. PubDate: Thu, 12 May 2022 11:05:04 +000
Abstract: Topological index (TI) is a graph-theoretic tool that is used to study different physical and structural properties of the networks in various disciplines of science such as computer science, chemistry, and information technology. In this article, we study transition metal tetra-cyano-benzene organic networks by computing their M-polynomials and various topological indices (TIs). At the end, a comparison is also included between all the computed degree-based topological indices to show their betterness. PubDate: Thu, 12 May 2022 08:50:01 +000
Abstract: In this research, we introduced the -mapping generated by a finite family of contractive mappings, Lipschitzian mappings and finite real numbers using the results of Kangtunyakarn (2013). Then, we prove the strong convergence theorem for fixed point sets of finite family of contraction and Lipschitzian mapping and solution sets of the modified generalized equilibrium problem introduced by Suwannaut and Kangtunyakarn (2014). Finally, numerical examples are provided to illustrate our main theorem. PubDate: Thu, 12 May 2022 06:35:01 +000
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