Purpose of writing this paper is to provide a new dynamic geometric method and also a mechanical model based upon it, to solve quintic equations. A triangle ABC with base BC, perpendicular AB of length equal to unity, hypotenuse AC, right angle at point B, is constructed. Perpendiculars BD, EF, GH upon AC, perpendiculars DE, FG upon BC, are drawn. Value of angle C is adjusted so that difference in lengths of BD and GH equals constant term of quintic equation transformed to Bring-Jerrard normal form, then one real root of given quintic equation equals length of perpendicular BD. Presently, there are two geometric methods available to solve quintic equations, first by paper folding art, called Origami and second given by Australian engineer, Edward Lill. This paper presents third simple and unique geometric method. Notwithstanding this dynamic geometric method, a mathematical model, explaining its fabrication, operation, has also been devised to present a real life picture of solution to the equations.
{"title":"Solution of quintic equation by geometric method and based upon it: A mathematical model","authors":"Narinder Kumar Wadhawan","doi":"10.47974/jim-1538","DOIUrl":"https://doi.org/10.47974/jim-1538","url":null,"abstract":"Purpose of writing this paper is to provide a new dynamic geometric method and also a mechanical model based upon it, to solve quintic equations. A triangle ABC with base BC, perpendicular AB of length equal to unity, hypotenuse AC, right angle at point B, is constructed. Perpendiculars BD, EF, GH upon AC, perpendiculars DE, FG upon BC, are drawn. Value of angle C is adjusted so that difference in lengths of BD and GH equals constant term of quintic equation transformed to Bring-Jerrard normal form, then one real root of given quintic equation equals length of perpendicular BD. Presently, there are two geometric methods available to solve quintic equations, first by paper folding art, called Origami and second given by Australian engineer, Edward Lill. This paper presents third simple and unique geometric method. Notwithstanding this dynamic geometric method, a mathematical model, explaining its fabrication, operation, has also been devised to present a real life picture of solution to the equations.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"51 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467781","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}
The numerical technique for 2D time dependent linear Schrodinger equation is the subject of this work. The approximations are produced using the weak Galerkin finite element technique with continous and discrete FEM, on relay , using the backward Euler method in time. Using the elliptic projection operator, we provide L2 error speculation for continues and discretely weak Galerkin finite element.
{"title":"Weak galerkin finite element method for the linear Schrodinger equation","authors":"Dalal Ismael Aziz, Ahmed J. Hussein","doi":"10.47974/jim-1529","DOIUrl":"https://doi.org/10.47974/jim-1529","url":null,"abstract":"The numerical technique for 2D time dependent linear Schrodinger equation is the subject of this work. The approximations are produced using the weak Galerkin finite element technique with continous and discrete FEM, on relay , using the backward Euler method in time. Using the elliptic projection operator, we provide L2 error speculation for continues and discretely weak Galerkin finite element.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"12 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467799","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}
In this paper, we apply Lie group theory to a Hamilton-Jacobi type equation, which is a nonlinear partial differential equation of the first order. We then employ the local inverse theorem to build the Lie invariance condition for this equation. The determining equations are then obtained by using this condition. We split and solve these obtained equations to obtain the symmetries of the equation under study. We obtain the largest solvable Lie algebra. We also obtain the symmetry algebra and make a group classification of this equation. Further, some exact solutions are deduced and represented graphically.
{"title":"Group analysis of a Hamilton–Jacobi type equation","authors":"Jervin Zen Lobo","doi":"10.47974/jim-1646","DOIUrl":"https://doi.org/10.47974/jim-1646","url":null,"abstract":"In this paper, we apply Lie group theory to a Hamilton-Jacobi type equation, which is a nonlinear partial differential equation of the first order. We then employ the local inverse theorem to build the Lie invariance condition for this equation. The determining equations are then obtained by using this condition. We split and solve these obtained equations to obtain the symmetries of the equation under study. We obtain the largest solvable Lie algebra. We also obtain the symmetry algebra and make a group classification of this equation. Further, some exact solutions are deduced and represented graphically.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468456","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}
O. Giri, P. B. Shahi, Janani Selvam, Sandeep Poddar, A. Bhaumik
Road safety has emerged as a global priority due to the multifaceted consequences of road traffic accidents (RTAs) in modern society. The study is focused on the development of an accident prediction model (APM) and identifying the influence of geometric factors on road safety. The study section of the highway was divided into 190 identical segments based on geometric characteristics. Eight models have been developed for establishing the relationship between crash numbers and respective parameters. The significance of the models has been validated by the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The study unveils that the shoulder and lane width, numbers, and radius of the horizontal curve significantly influence RTAs. However, the gradient and shoulder type have less impact on road accident frequency. The research recommendations for the improvement of safety are increasing the radius of the curves, lane, and shoulder width. Similarly, the study suggests the reduction of the number of horizontal curves for the reduction of crash frequency.
{"title":"Effects of road geometric parameters on safety: A case study of Mugling-Narayanghat road in Nepal","authors":"O. Giri, P. B. Shahi, Janani Selvam, Sandeep Poddar, A. Bhaumik","doi":"10.47974/jim-1677","DOIUrl":"https://doi.org/10.47974/jim-1677","url":null,"abstract":"Road safety has emerged as a global priority due to the multifaceted consequences of road traffic accidents (RTAs) in modern society. The study is focused on the development of an accident prediction model (APM) and identifying the influence of geometric factors on road safety. The study section of the highway was divided into 190 identical segments based on geometric characteristics. Eight models have been developed for establishing the relationship between crash numbers and respective parameters. The significance of the models has been validated by the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The study unveils that the shoulder and lane width, numbers, and radius of the horizontal curve significantly influence RTAs. However, the gradient and shoulder type have less impact on road accident frequency. The research recommendations for the improvement of safety are increasing the radius of the curves, lane, and shoulder width. Similarly, the study suggests the reduction of the number of horizontal curves for the reduction of crash frequency.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70469053","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}
Hanan Ali Hussein, Sattar Hameed Hamzah, Habeeb Kareem Abdullah
The main purpose of this work is to introduce soft convergence in soft topological space. We introduced two types of soft convergence in soft topological space namely, soft convergence (S-convergence) of soft net and soft convergence of soft filter. Also, we investigate some properties of these concepts.
{"title":"Convergence in soft topological spaces","authors":"Hanan Ali Hussein, Sattar Hameed Hamzah, Habeeb Kareem Abdullah","doi":"10.47974/jim-1617","DOIUrl":"https://doi.org/10.47974/jim-1617","url":null,"abstract":"The main purpose of this work is to introduce soft convergence in soft topological space. We introduced two types of soft convergence in soft topological space namely, soft convergence (S-convergence) of soft net and soft convergence of soft filter. Also, we investigate some properties of these concepts.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135952999","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}
In this paper, a improved convergence theorem, focal point, tw-Cauchy series, tw-convergent, tw-precision and sequential reduction in tw-approach space are defined and studied. The necessity of achieving the contraction condition in order to get the sequential contraction function is also shown. Moreover, a new structure for the norm in tw-approach space is put, which is called tw-approach-Banach space. Furthermore, tw-approach normed space with uniform condition are given to be a Hausdorff space as well as tw-approach normed space is shown to be the metric space formed by is full if and only if tw-approach space is a complete, so, every finite-dimensional tw-approach normed space is proven to be tw-complete. Some important results and properties in this field are introduced and discussed. is more real in its representation of the relationship between quantity demanded and price, whereas the other model takes into account both demand and Expenses incurred.
{"title":"New results of tw-normed approach space","authors":"Maysoon A. Neamah, Boushra Y. Hussein","doi":"10.47974/jim-1610","DOIUrl":"https://doi.org/10.47974/jim-1610","url":null,"abstract":"In this paper, a improved convergence theorem, focal point, tw-Cauchy series, tw-convergent, tw-precision and sequential reduction in tw-approach space are defined and studied. The necessity of achieving the contraction condition in order to get the sequential contraction function is also shown. Moreover, a new structure for the norm in tw-approach space is put, which is called tw-approach-Banach space. Furthermore, tw-approach normed space with uniform condition are given to be a Hausdorff space as well as tw-approach normed space is shown to be the metric space formed by is full if and only if tw-approach space is a complete, so, every finite-dimensional tw-approach normed space is proven to be tw-complete. Some important results and properties in this field are introduced and discussed. is more real in its representation of the relationship between quantity demanded and price, whereas the other model takes into account both demand and Expenses incurred.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953286","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}
This study’s main goal is to provide a revised definition of l-op.s.s by employment the definition ideal and Bi topspa in addition to studying its theories, characteristics and observations.
{"title":"On some properties of Lambda ideal open sets","authors":"Hawra S. Abu Hemed Al-Ali, Yiezi K. Al-Talkany","doi":"10.47974/jim-1623","DOIUrl":"https://doi.org/10.47974/jim-1623","url":null,"abstract":"This study’s main goal is to provide a revised definition of l-op.s.s by employment the definition ideal and Bi topspa in addition to studying its theories, characteristics and observations.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135957906","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}
In this research, the fixed points of the functions in F = {fc(x) = c csc(x): c, x ∈ ℝ} are investigated. And also, the types of fixed points of the functions in F are investigated. In addition, the some important conditions for convergence of {fcn (x)} as n → ∞ are obtained.
本文研究了F = {fc(x) = c csc(x): c, x∈x}中函数的不动点。同时，研究了函数在F中的不动点的类型。此外，还得到了n→∞时{fcn (x)}收敛的一些重要条件。
{"title":"On fixed points of the transcendental meromorphic functions","authors":"Iman A. Hussain, Zeana Z. Jamil","doi":"10.47974/jim-1517","DOIUrl":"https://doi.org/10.47974/jim-1517","url":null,"abstract":"In this research, the fixed points of the functions in F = {fc(x) = c csc(x): c, x ∈ ℝ} are investigated. And also, the types of fixed points of the functions in F are investigated. In addition, the some important conditions for convergence of {fcn (x)} as n → ∞ are obtained.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"59 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467259","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}
N. Srimannarayana, F. Ayant, Y. Kumar, D. Kumar, B. Satyanarayana
Many authors have recently provided a number of expressions for a general Eulerian integrals about the multi-variable H-functions. Inspired by these works, we evaluated here a general class of multi-variable Eulerian integrals with modified multi-variable I-function (MMIF) with general arguments, which has been defined in this article. Some of the particular cases have been discussed. These results will help to deduce numerous useful integrals.
{"title":"Multiple eulerian integrals with modified multivariable I-function having general arguments","authors":"N. Srimannarayana, F. Ayant, Y. Kumar, D. Kumar, B. Satyanarayana","doi":"10.47974/jim-1649","DOIUrl":"https://doi.org/10.47974/jim-1649","url":null,"abstract":"Many authors have recently provided a number of expressions for a general Eulerian integrals about the multi-variable H-functions. Inspired by these works, we evaluated here a general class of multi-variable Eulerian integrals with modified multi-variable I-function (MMIF) with general arguments, which has been defined in this article. Some of the particular cases have been discussed. These results will help to deduce numerous useful integrals.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468180","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}
In this paper, we discussed about the geo chromatic number cgc (G) of sunlet graph, prism graph, book graph, banana graph, herschel graph, grotzsch graph and also for tree graph.
{"title":"Geo chromatic number of certain graphs","authors":"R. J. Paul, U. Mary","doi":"10.47974/jim-1643","DOIUrl":"https://doi.org/10.47974/jim-1643","url":null,"abstract":"In this paper, we discussed about the geo chromatic number cgc (G) of sunlet graph, prism graph, book graph, banana graph, herschel graph, grotzsch graph and also for tree graph.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468211","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：