Learning and teaching methods for mathematics are dependent on the knowledge level of both teachers and students while the facilities are also effective in developing the scope of high level education system in this subject. The study mainly revolves around the factors posing as issues in learning and teaching of mathematics in the Kamrup (M) areas of Assam. The primary aim of the study is to analyse these factors and eradicate or manage them properly to make the learning and teaching process of mathematics a success. The benefits of studying mathematics at the UG level along with the various scope of studying such a subject is emphasised as it promotes educational excellence while the system is responsible to achieve the goals efficiently. Positivism research philosophy has been opted by the researcher to gather accurate data and interpret them in an appropriate way. In order to gather survey data 13 colleges and approximately 3,000 students of Kamrup (M) were selected. Personal information of the respondents was kept confidential by the researcher. ∗Corresponding author E-mail address: vishnunarayanmishra@gmail.com, vnm@igntu.ac.in †Research Scholar Received September 19, 2021 1 2 G.C. DAS, M. SARMA, M.P. KASHYAP, M.K. SHARMA, V.N. MISHRA
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we make some fixed point theorems for a new type of generalized contractive mappings including C− class function, γ ι s− admissible type mapping and rational contractive in the casing work of complete V − Fuzzy Metric Spaces. The outcomes acquired in this work generalize and further develop some fixed point results in this article.
Copulas are used to describe and explain the asymmetry between image-text and text-image retrieval observed in different values of the mean average precision (MAP). We use empirical copulas to quantify the asymmetry in a general framework of cross-modal retrieval via suitable asymmetry measures. Several experiments are done on real world dataset feautures to prove the relevance of our analysis.
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. This paper deals with the k-new generalized Mittag Leffler function. Some of its properties related to fractional calculus are presented viz. k-Weyl fractional integral and k-extended Euler beta integral transform, Whittaker integral transform. Some important special cases of the main results are also have been discussed.
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this article, we provide relationship between interval valued Q-fuzzy interior ideals with thresholds (α,β ) and interval valued Q-fuzzy ideals with thresholds (α,β ). In the goal results, we proceed to characterize the simisimple semigroup by using interval valued Q-fuzzy interior ideals with thresholds (α,β ).
Abstract: Here we proposed three classes of volatility models using Standardized Exponentiated Gumbel Error Innovation Distribution (SEGEID). Important statistical and mathematical properties of this models have been discussed and derived. Hence, the parameters of the volatility models are discussed using the general log likelihood function of the SEGEID. Finally, the volatility models were obtained through partial derivative by adopting a method of numerical method BFGS.
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we proposed new iterative sixth order convergence method for solving nonlinear equations. The combination of the Taylor series and composition approach is used to derive the new method. Numerous methods have been developed by many researchers whenever the function’s second and higher order derivatives exist in the neighbourhood of the root. Computing the second and higher derivative of a function is a very cumbersome and time consuming task. In terms of low computation cost, the newly proposed method finds the best approximation to the root of non-linear equations by evaluating the function and its first derivative. The proposed method has been theoretically demonstrated to have sixth-order convergence. The proposed method has an efficiency index of 1.56. Several comparisons of the proposed method with the various existing iterative method of the same order have been performed on the number of problems. Finally, the computational results suggest that the newly proposed method is efficient compared to the well-known existing methods.
In the present research work, a hybrid algorithm is introduced, which includes an integral transform “Sumudu Transform” and the well-known semi-analytical regime “Homotopy Perturbation Method” named as “Sumudu Transform Homotopy Perturbation Method (STHPM)” to evaluate the exact solution of Klein-Gordon and Sine-Gordon equations. The discussed equations in this research have a prominent role in sciences and engineering. The authenticity and efficacy of this regime are established via a comparison between approximated solutions and exact solutions. Convergence analysis is also provided, which affirms that the solution obtained from STHPM is convergent and unique in nature. The results obtained by STHPM are compared with exact solutions. 2D and 3D plots are also discussed. The present regime is a reliable technique to provide the exact solution to a wide category of nonlinear PDEs in an easy way, without any need of discretization, complex computation, linearization, and it is also
Graph partitioning is crucial step in resolving real time applications in the field of image analysis, smart city designing, wireless communications, data analysis etc. Though considerable research has been done for getting an optimal partitioning of graphs still it demands enhancement for diverse application problems. Hybrid graph partitioning approaches are promising and possess ability to partition graphs with large number of vertices. In our research we have developed multilevel particle swarm optimization algorithm for graph partitioning. Size of the graph is reduced by heavy edge matching algorithm and then greedy graph growing partitioning is used to divide the graph. Discrete particle swarm optimization used at the most important stage of refinement. Performance is evaluated by using Walshaw’s Benchmark graphs and from analysis it has been observed that proposed algorithm generates optimal partitioning with reduced cut values and computational cost.
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. The concept of zero divisor graph has been previously studied in algebraic structures like commutative rings, semi groups, semi lattices and ordered sets. In this paper, we investigate the properties of zero divisor graph of boolean lattices. Let L be a lattice and Γ(L) be the zero divisor graph of L. We find a relationship between the clique number and chromatic number of Γ(L) and some properties of zero divisor graph of boolean lattices. We also study the relationship between aut(L) and aut(Γ(L)) and establish the isomorphism between them.
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce the concept of generalized rational α∗-contraction for multivalued mappings in the setting of b-metric space. Further, we prove some common fixed point theorems for such rational contraction of multivalued mappings.
