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Group analysis of a Hamilton–Jacobi type equation 一类Hamilton-Jacobi型方程的群分析
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1646
Jervin Zen Lobo
{"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":null,"pages":null},"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}
引用次数: 0
Some generalizations of fuzzy soft (kˆ *– Â)-quasinormal operators in fuzzy soft Hilbert spaces 模糊软Hilbert空间中模糊软(k * - Â)-拟正规算子的一些推广
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1612
Salim Dawood Mohsen
{"title":"Some generalizations of fuzzy soft (kˆ *– Â)-quasinormal operators in fuzzy soft Hilbert spaces","authors":"Salim Dawood Mohsen","doi":"10.47974/jim-1612","DOIUrl":"https://doi.org/10.47974/jim-1612","url":null,"abstract":"This article is a continuation of generalizations in field operator theory in mathematics, such as we introduce new classes of fuzzy soft operator, which namely fuzzy soft (kˆ *– Â)-quasinormal operator in fuzzy soft Hilbert space, and shortly FS-(kˆ *– Â)-quasinormal operator. Give the text of the most important of these theorems with explains important properties for this concept and relationships with other types in the same filed finally more characterizations of FS-(kˆ *– Â)-quasinormal operator have been introduced in this article.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135955087","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}
引用次数: 0
Text encryption with singular values 具有奇异值的文本加密
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1608
Mohammed Abdul-Hameed
{"title":"Text encryption with singular values","authors":"Mohammed Abdul-Hameed","doi":"10.47974/jim-1608","DOIUrl":"https://doi.org/10.47974/jim-1608","url":null,"abstract":"In this paper, we will talk about how text is encrypted. Generally, this is done through a number of processes that spread out the later values in a matrix, which is A through remittances are linear and the use of svd enters, including one key where work will start on the application process. New matrices B1 and B2 of the original text matrix are generated in a compound, and the key is entered. The second step of the dispersion involves utilizing SVD on the final matrices and switching the S matrix between the two spectra for the new matrices C1 and C2, which signifies inserting the matrix of the encoded text as correlative F = [C1 C2]. To determine the accuracy of the work, we calculated the matrix of the absolute value of the difference between the matrix of numbers for the original text characters lettering before encryption and the matrix of numbers for text characters after decryption, which resulted in a zero matrix, as well as the calculation of the average values of this matrix which resulted in a zero matrix.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958061","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}
引用次数: 0
On fixed points of the transcendental meromorphic functions 超越亚纯函数的不动点
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1517
Iman A. Hussain, Zeana Z. Jamil
{"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":null,"pages":null},"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}
引用次数: 0
Multiple eulerian integrals with modified multivariable I-function having general arguments 具有一般参数的修正多变量i函数的多重欧拉积分
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1649
N. Srimannarayana, F. Ayant, Y. Kumar, D. Kumar, B. Satyanarayana
{"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":null,"pages":null},"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}
引用次数: 0
Geo chromatic number of certain graphs 某些图的地理色数
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1643
R. J. Paul, U. Mary
{"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":null,"pages":null},"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}
引用次数: 0
Dynamical analysis of effects of human behavior on cholera in context to specific strata’s 人类行为对特定地层霍乱影响的动态分析
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1650
Chetan Swarup, Sudipa Chauhan, Amulya Chaudhary, Mamta Barik
{"title":"Dynamical analysis of effects of human behavior on cholera in context to specific strata’s","authors":"Chetan Swarup, Sudipa Chauhan, Amulya Chaudhary, Mamta Barik","doi":"10.47974/jim-1650","DOIUrl":"https://doi.org/10.47974/jim-1650","url":null,"abstract":"This paper focuses on the dynamics of the mathematical model by considering the effect of human conduct and the role of immunity on cholera contamination. Since, spreading of infection is commonly modeled with the help of classes of the SIR model, the model is formulated as a SIR model inaugurated with one more compartment B which showcases the concentration of bacteria in the polluted water. We have obtained the basic reproductive rate R0 and showcased local stability as well as global stability through geometrical approach. Without infection, equilibrium point (E0 ) is stable locally in conjunction with globally whenever 0 R <1. Similarly, the stability condition for endemic equilibrium E* is 0 R ≥ 1. Hence, our aim is basically to explore the outcome as to how the alertness of mankind can play an effective role in the dynamics of such infections.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468269","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}
引用次数: 0
A mathematical investigation of multi-carrier waveform with AI based matched filter detection 基于人工智能的匹配滤波器检测多载波波形的数学研究
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1663
Sakshi Choudhary, Arun Kumar, Mohit K. Sharma, Mehedi Masud
{"title":"A mathematical investigation of multi-carrier waveform with AI based matched filter detection","authors":"Sakshi Choudhary, Arun Kumar, Mohit K. Sharma, Mehedi Masud","doi":"10.47974/jim-1663","DOIUrl":"https://doi.org/10.47974/jim-1663","url":null,"abstract":"Research found that 70% of the spectrum is not being used. Energy, feature detection, and matched filters are just a few of the techniques that have been suggested in the past. A matching filter is used in this study to determine whether a spectrum is free or already in use by the primary user. In this case, if the licensed spectrum for a primary user is not needed, a secondary user may access it. The simulation is carried out by the MATLAB simulation software using the output signals from the OFDM model (proposed model) and NOMA model as inputs. Later in this study, a number of metrics are examined and contrasted with current technology, including probability of detection (PD) and probability of false alarm (PFA).","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468641","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}
引用次数: 0
The characteristic equation of the matrix over min-plus algebra 矩阵在最小加代数上的特征方程
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1593
{"title":"The characteristic equation of the matrix over min-plus algebra","authors":"","doi":"10.47974/jim-1593","DOIUrl":"https://doi.org/10.47974/jim-1593","url":null,"abstract":"Max-plus algebra is one of many idempotent semi-rings. The max-plus algebraic structure is semi field while the conventional algebra is a field. Because of their similar structure, various properties and concepts in the conventional algebra such as characteristic equations have max plus algebraic equivalence. The characteristic equation has been proved in the max-plus algebra. The other semi-field is min-plus algebra. Because of the structure in the min-plus algebra is also similar to the conventional algebra, the characteristic equation also has a min-plus algebraic equivalent. In this paper, it is discussed how to prove the characteristic equation of the matrix over conventional algebra into the min-plus algebra. The results are almost the same. The addition and multiplication operations in the conventional algebra are replaced by min and plus operations in the min-plus algebra. In addition, because of the min-plus algebra does not define the subtraction operation, the formulation of the characteristic equation of the matrix over min-plus algebra is not equal to zero.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468434","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}
引用次数: 0
Hamilton formulation for the electrodynamics of generalized maxwell using fractional derivatives 用分数阶导数求解广义麦克斯韦电动力学的Hamilton公式
IF 1.7
JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1594
Adel Almalki, Y. M. Alawaideh, B. M. Al-Khamiseh, Samer Alawaideh
{"title":"Hamilton formulation for the electrodynamics of generalized maxwell using fractional derivatives","authors":"Adel Almalki, Y. M. Alawaideh, B. M. Al-Khamiseh, Samer Alawaideh","doi":"10.47974/jim-1594","DOIUrl":"https://doi.org/10.47974/jim-1594","url":null,"abstract":"A comparative analysis of the Hamiltonian and Lagrangian equations for the Maxwell field was conducted, and it was demonstrated that both methods are equivalent. Dirac’s and Euler’s techniques were employed to handle the Hamiltonian approach. Additionally, a novel fractional Hamilton formulation was developed for the Maxwell field using fractional derivatives. This formulation yielded a fractional Riemann-Liouville derivative operator and a fractional Hamilton function in terms of the variables Ai, Aj, and A0. The effectiveness of this approach was verified by employing it to examine Maxwell’s electrodynamic equation, and the results obtained were in perfect agreement, confirming the validity of the study","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468509","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}
引用次数: 0
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