{"title":"SOME FORMS OF STRONG FUNCTIONS IN SOFT TOPOLOGICAL SPACES","authors":"Simson Jackson, Sudalaimuthu Chitra","doi":"10.46939/j.sci.arts-23.2-a11","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a11","url":null,"abstract":"In this paper we have introduced two stronger functions namely Strongly Soft Jc open(closed) maps and Strongly Soft Jc homeomorphism. Further we have studied some of their properties in detail","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43587142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"DEVELOPMENT OF THE RAMBERG-OSGOOD MECHANICAL STRESS-STRAIN CURVE USING THE ARTIFICIAL NEURAL NETWORK METHOD TO EVALUATE MECHANICAL BEHAVIOUR OF 316L STAINLESS STEEL IN THE LIQUID LEAD","authors":"Livia Stoica, V. Radu, Alexandru Nitu","doi":"10.46939/j.sci.arts-23.2-c02","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-c02","url":null,"abstract":"Romania, through RATEN ICN, is involved in the construction of the ALFRED demonstrator (Advanced Lead Fast Reactor European Demonstrator), in which the core of the reactor uses cooling in the liquid lead environment. This constitutes one of the arguments for the development of studies on innovative materials of generation IV, having the stated objective of the problem of the contact between the liquid lead and the structural materials specific to this type of reactor. The purpose of this paper is to highlight the changes in the thermomechanical behaviour induced by the contact between the 316L austenitic steel and the liquid lead, as well as its modelling through the equation of the Ramberg-Osgood-type mechanical stress-strain curve. The tensile tests in air and liquid lead were carried out at strain rates of the specimens in the range 10-3 s-1 ~ 10-5 s-1 and in a range of temperatures 350oC - 400 oC. To highlight the changes induced by the contact with the liquid lead on the thermomechanical behaviour of the 316L steel, the artificial neural network method, called the \"Multilayer Feedforward Neural Network\", was used in the processing of the experimental database. The obtained Ramberg-Osgood-type mechanical stress-strain curve is applied for both the air and the liquid lead environment at a temperature of 375oC and includes the following parameters as input: temperature, strain rate, yield stress, and maximum stress at necking. The two equations obtained for the air environment and the liquid lead environment at a temperature of 375oC were verified to the experimental data and a very good prediction agreement was obtained.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44959025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"THE GEODESIC CURVES ON THE OSCILLATOR GROUP OF DIMENSION FOUR","authors":"Derkaoui Rafik, Medjahdi Brahim","doi":"10.46939/j.sci.arts-23.1-a13","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.1-a13","url":null,"abstract":"Our work is study the geometry of oscillator groups, they are the only non commutative simply connected solvable Lie groups which have a biinvariant Lorentzian metric. The oscillator group has been generalized to one dimension equals , and several aspects of its geometry have been intensively studied, both in differential geometry and in mathematical physics. In this paper, we find geodesic curves on the oscillator group of dimension four.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46958039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"INVESTIGATION OF CONFORMABLE DOUBLE SHEHU TRANSFORM FOR SOLVING SOME FRACTIONAL DIFFERENTIAL PARTIAL EQUATIONS","authors":"Mohamed Elarbi Benattia, K. Belghaba","doi":"10.46939/j.sci.arts-23.2-a03","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a03","url":null,"abstract":"In this paper, we generalize the concept of single conformable Sehu transformation (CSHT) to double conformable transformation (CDFSHT). Moreover, we are able to prove some theorems and properties related to this work. We apply the double conformable Sehu transform to solve the initial and boundary problems of linear and (non)homogenous conformable fractional partial differential equations (PDEs). The validity and the applicability of the proposed technique are shown by three numerical examples. Mathematica software is used for Euclidean division of polynomials and drawing graphs.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42202624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE EXACT EVALUATION OF INTERMOLECULAR ELECTROSTATIC INTERACTION ENERGY IN A MOLECULAR COORDINATE SYSTEM","authors":"E. Çopuroğlu, B. Mamedov","doi":"10.46939/j.sci.arts-23.2-c01","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-c01","url":null,"abstract":"We propose an effective general approach for accurately calculating the electron-electron, nuclear-electron and nuclear-nuclear Coulomb electrostatic interaction energies. Since these interaction energies are fundamental terms in the ab initio, density function and semi-empirical theories, their general examination will make an important contribution to the accurate calculation of the physical and chemical properties of atoms and molecules. It is well known that electron-electron, nuclear-electron and nuclear-nuclear Coulomb electrostatic interaction energies can be reduced to basic two-center Coulomb integrals. The analytical calculation of electrostatic interaction energies with respect to basic two-center Coulomb integrals over Slater type orbitals (STOs) in molecular coordinate systems allows for the routine evaluation of molecular structures and their related properties. In this study, we introduce a new full analytical algorithm for calculating the basic two-center Coulomb integrals over STOs using Guseinov’s auxiliary functions, especially the interactions between electrons. The auxiliary functions are calculated by using the exact recurrence relations developed by Guseinov. Our new approach is successfully tested on data from previously published studies, and can be recommended for the evaluation of related problems in atomic and molecular physics.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43695376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY","authors":"I. Yildirim, Y. S. Sahi̇n","doi":"10.46939/j.sci.arts-23.2-a09","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a09","url":null,"abstract":"In this paper, we firstly introduce definition of weak interpolative Hardy-Rogers type contractions and we give an example for a class of this mappings. We also prove a fixed point theorem under some appropriate conditions on complete b-metric spaces. Finally, we discuss an application to homotopy theory of our main result.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47561104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kouider Mohammed Ridha, Idiou Nesrine, Benatia Fatah
{"title":"ADAPTIVE ESTIMATORS OF THE GENERAL PARETO DISTRIBUTION PARAMETERS UNDER RANDOM CENSORSHIP AND APPLICATION","authors":"Kouider Mohammed Ridha, Idiou Nesrine, Benatia Fatah","doi":"10.46939/j.sci.arts-23.2-a07","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a07","url":null,"abstract":"In this article, we introduce adaptive estimators for parameters of the (GPD) Generalized Pareto Distribution under censored data via the KIB-estimator. The KIB-estimator is based on the Maximum Likelihood Estimates (MLE) by the exceedances over the threshold t under random censoring which was developed by [1]. Hence, it was proved that the KIB-estimator is Maximum Likelihood (ML) estimator with the uncensored case. We use the standardized MLE based on the exceedances on the uncensored situation which converge to a centered bivariate normal distribution. Whose found by [2] to standardized our adaptive KIB estimator of the GPD parameters under random censorship. As an application, we establish the asymptotic normality of an estimator of the excess-of- loss reinsurance premium for heavy-tailed distribution, through the adapted KIB estimator of GPD under censored data.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41877544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"AN EXTENSION OF SOME SOLUTIONS OF THE FALKNER-SKAN EQUATION","authors":"Fatma Labbaoui, M. Aiboudi","doi":"10.46939/j.sci.arts-23.2-a10","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a10","url":null,"abstract":"The differential equation φ^'''+φφ^''+α (〖φ^'〗^2-1)=0 where α>0 is appeared for studying the boundary layer flow past a semi infinitewedge. As a means to prove the existence of solutions verifying (0)=a≥√(1/(1-α)) , φ^' (0)=b≥0 and φ^' (t)→1 or-1 as t→+∞ for 0<α<1. We utilize shooting technique and consider the initial conditions φ (0) =a, φ'(0) =b and φ’’ (0)=c. We demonstrate that there exists an infinitely many solutions where φ'(+∞) =1.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44689292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Abinaya, Michael Gilbert Rani, Rajendran Premkumar
{"title":"WEAKLY BINARY gα – CLOSED SETS AND WEAKLY BINARY αg – CLOSED SETS IN BINARY TOPOLOGICAL SPACE","authors":"D. Abinaya, Michael Gilbert Rani, Rajendran Premkumar","doi":"10.46939/j.sci.arts-23.2-a01","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a01","url":null,"abstract":"In this paper, we will define some new class of generalized closed sets called weakly binary generalized α-closed sets, weakly binary α generalized closed sets, binary generalized ^⋆ α-closed sets and weakly binary generalized ^⋆ α-closed sets in binary topological spaces and study some of their characterizations and properties.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49115313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"RESOLUTION NUMERICAL OF NON-LINEAR EQUATIONS","authors":"A. Benali","doi":"10.46939/j.sci.arts-23.2-a15","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a15","url":null,"abstract":"In this work we have applied a very important the hyperbolic tangent (tanh) method in the analytical study of nonlinear coupled KdV systems of partial differential equations. Compared to existing sophisticated approaches, this proposed method gives more general exact traveling wave solutions without much extra effort. Two applications from the literature of non linear PDE systems have been solved by the method.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46852874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}