Pub Date : 2023-07-20DOI: 10.9734/arjom/2023/v19i9708
E. J. Mamadu
Iterative methods provide hope for many nonlinear engineering problems that cannot be solved through analytic procedures. In this article, orthogonal polynomial based iterative schemes are developed for the approximate solutions of nonlinear algebraic and transcendental equations. Basically, Mamadu-Njoseh orthogonal polynomials are employed as basis functions to derive the new iterative schemes called the “Mamadu (Delta) 2 and (Delta) 3 iterative schemes”. Convergence analysis of the schemes shows the convergence rate as of order 3 and 4, respectively. Numerical experimental of the new schemes show the feasibility and correctness of the method.
{"title":"An Orthogonal Polynomial Based Iterative Procedure for Finding the Root of the Equation f (x) = 0","authors":"E. J. Mamadu","doi":"10.9734/arjom/2023/v19i9708","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9708","url":null,"abstract":"Iterative methods provide hope for many nonlinear engineering problems that cannot be solved through analytic procedures. In this article, orthogonal polynomial based iterative schemes are developed for the approximate solutions of nonlinear algebraic and transcendental equations. Basically, Mamadu-Njoseh orthogonal polynomials are employed as basis functions to derive the new iterative schemes called the “Mamadu (Delta) 2 and (Delta) 3 iterative schemes”. Convergence analysis of the schemes shows the convergence rate as of order 3 and 4, respectively. Numerical experimental of the new schemes show the feasibility and correctness of the method.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122497936","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}
Pub Date : 2023-07-19DOI: 10.9734/arjom/2023/v19i9707
K. Manoj, R. J. Hussain
.In this study, we present fixed-point results for various contractions in E - Metric Space along with severalcorollaries. Finding a fixed point result in E - Metric Space can also be done via implicit relations. In theinvestigation of our primary result stands, all the theorems will be in non-solid cone and we cannot assumeinterior point is non-empty.
{"title":"Some Fixed Point Theorems in e- Complete E-Metric Space","authors":"K. Manoj, R. J. Hussain","doi":"10.9734/arjom/2023/v19i9707","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9707","url":null,"abstract":".In this study, we present fixed-point results for various contractions in E - Metric Space along with severalcorollaries. Finding a fixed point result in E - Metric Space can also be done via implicit relations. In theinvestigation of our primary result stands, all the theorems will be in non-solid cone and we cannot assumeinterior point is non-empty.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124252910","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}
Pub Date : 2023-07-17DOI: 10.9734/arjom/2023/v19i9704
T. C. Mujeeburahman, R. J. Hussain
Bipolar intuitionistic fuzzy graphs (BIFG) with perfectly connected domination are introduced in this study. The study also discusses the bipolar intuitionistic antifuzzy graphs (BIAFG) domination concepts. Additionally, the topic of 2-domination in BIAFG are explored. we developed the secure edge dominating set and its domination number in BIAFG also some results are derived with suitable examples.
{"title":"Study of Various Dominations in Bipolar Intuitionistic Anti Fuzzy Graphs","authors":"T. C. Mujeeburahman, R. J. Hussain","doi":"10.9734/arjom/2023/v19i9704","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9704","url":null,"abstract":"Bipolar intuitionistic fuzzy graphs (BIFG) with perfectly connected domination are introduced in this study. The study also discusses the bipolar intuitionistic antifuzzy graphs (BIAFG) domination concepts. Additionally, the topic of 2-domination in BIAFG are explored. we developed the secure edge dominating set and its domination number in BIAFG also some results are derived with suitable examples.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123307422","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}
Pub Date : 2023-07-17DOI: 10.9734/arjom/2023/v19i9705
N. A. Owusu-Ansah, J. Apawu
This article reports on part of a two- year study. The paper examined the perception of pre-service mathematics teachers’ cognitive needs via the lens of Maslow theory of needs. The research design employed was the mixed methods approach specifically sequential explanation mixed methods design. The population for this study was pre-service mathematics teachers at the University of Education, Winneba of Ghana. The purposive sampling technique was employed to select Level 300 pre-service mathematics teachers. Level 300 students were 183. The simple random sampling technique was used in selecting 125 respondents for the study. Questionnaire and interview protocol were used as instruments to collect data. Data collected through the questionnaire were analysed quantitatively and the interview data collected were analysed qualitatively. Results showed that the cognitive needs of the pre-service mathematics teachers have been met to a very large extent. Recommendations were thereof made accordingly.
{"title":"Investigating Pre-service Mathematics Teachers’ Perception on Cognitive Needs","authors":"N. A. Owusu-Ansah, J. Apawu","doi":"10.9734/arjom/2023/v19i9705","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9705","url":null,"abstract":"This article reports on part of a two- year study. The paper examined the perception of pre-service mathematics teachers’ cognitive needs via the lens of Maslow theory of needs. The research design employed was the mixed methods approach specifically sequential explanation mixed methods design. The population for this study was pre-service mathematics teachers at the University of Education, Winneba of Ghana. The purposive sampling technique was employed to select Level 300 pre-service mathematics teachers. Level 300 students were 183. The simple random sampling technique was used in selecting 125 respondents for the study. Questionnaire and interview protocol were used as instruments to collect data. Data collected through the questionnaire were analysed quantitatively and the interview data collected were analysed qualitatively. Results showed that the cognitive needs of the pre-service mathematics teachers have been met to a very large extent. Recommendations were thereof made accordingly.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116514829","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}
Pub Date : 2023-07-13DOI: 10.9734/arjom/2023/v19i9703
Aldren R. Magan, Kennet G. Cuarteros, Rhegie M. Caga-anan
As youth organizations play a vital role in nation-building, retaining elected officials is essential for organizations to maintain created value. Youth are distinct from previous generations in their attitudes, behaviors, and personalities, and retaining them requires a distinct management strategy. This study aims to provide decision-makers with a more effective and efficient instrument for evaluating the types of career management activities contributing to the retention of SK Chairpersons. This study uses a spherical fuzzy analytic hierarchy-based approach to examine factors and activities according to their importance. It was conducted at Talakag, Bukidnon, participated by the SK Federation with twenty-nine (29) SK Chairpersons. The results indicate that "leadership and Management" is the most important factor, that "supportive leadership" has a significant impact on their retention, and that "development-oriented career management activities" have the greatest influence on increasing the retention of SK Chairpersons. To accomplish more with youth programs and activities, the federation, under the supervision of the Barangay Council in each barangay, should prioritize Career Planning and Reflection, Performance Feedback, and Skill Development.
{"title":"Prioritizing Career Management Activities on Youth Leaders’ Retention: A Spherical Fuzzy Analytic Hierarchy Process-Based Approach","authors":"Aldren R. Magan, Kennet G. Cuarteros, Rhegie M. Caga-anan","doi":"10.9734/arjom/2023/v19i9703","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9703","url":null,"abstract":"As youth organizations play a vital role in nation-building, retaining elected officials is essential for organizations to maintain created value. Youth are distinct from previous generations in their attitudes, behaviors, and personalities, and retaining them requires a distinct management strategy. This study aims to provide decision-makers with a more effective and efficient instrument for evaluating the types of career management activities contributing to the retention of SK Chairpersons. This study uses a spherical fuzzy analytic hierarchy-based approach to examine factors and activities according to their importance. It was conducted at Talakag, Bukidnon, participated by the SK Federation with twenty-nine (29) SK Chairpersons. The results indicate that \"leadership and Management\" is the most important factor, that \"supportive leadership\" has a significant impact on their retention, and that \"development-oriented career management activities\" have the greatest influence on increasing the retention of SK Chairpersons. To accomplish more with youth programs and activities, the federation, under the supervision of the Barangay Council in each barangay, should prioritize Career Planning and Reflection, Performance Feedback, and Skill Development.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127546928","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}
Pub Date : 2023-07-12DOI: 10.9734/arjom/2023/v19i9702
Md. Abdullah Al Mahmud, Md. Jahirul Haque Munshi, M. S. Islam, Md. Jamiul Islam, Md. Abdul Mannan, Md Mehedi Hasan
This study focuses on numerically simulating heat transfer in an enclosure with a wavy shape, both with and without the presence of fins. The research paper specifically investigates the case of a single vertical fin attached to the lower heated wall of the enclosure. The lower wall is maintained at a constant cold temperature, while the upper wall is kept cold, and the wavy walls are assumed to be constant heated temperature. The top wall lid moves left to right and bottom wall lid moves right to left with constant velocity. Additionally, a magnetic field of certain strength is applied parallel to the x-axis. The flow inside the enclosure is characterized by a Prandtl number of 0.71. The results are presented through various graphical representations, such as streamlines, isotherms, velocity and temperature distributions, as well as the local Nusselt number. The researchers conducted a parametric study to examine the impact of the Richardson number on the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the Hartmann number increases (while keeping the Hartmann number constant) the heat transfer rate is enhanced. To validate their findings, the researchers compare their results with previously published works in the field.
{"title":"Numerical Simulation of Heat Transfer in a Wavy Enclosure with and without the Presence of Fins","authors":"Md. Abdullah Al Mahmud, Md. Jahirul Haque Munshi, M. S. Islam, Md. Jamiul Islam, Md. Abdul Mannan, Md Mehedi Hasan","doi":"10.9734/arjom/2023/v19i9702","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9702","url":null,"abstract":"This study focuses on numerically simulating heat transfer in an enclosure with a wavy shape, both with and without the presence of fins. The research paper specifically investigates the case of a single vertical fin attached to the lower heated wall of the enclosure. The lower wall is maintained at a constant cold temperature, while the upper wall is kept cold, and the wavy walls are assumed to be constant heated temperature. The top wall lid moves left to right and bottom wall lid moves right to left with constant velocity. Additionally, a magnetic field of certain strength is applied parallel to the x-axis. The flow inside the enclosure is characterized by a Prandtl number of 0.71. The results are presented through various graphical representations, such as streamlines, isotherms, velocity and temperature distributions, as well as the local Nusselt number. The researchers conducted a parametric study to examine the impact of the Richardson number on the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the fluid flow and heat transfer characteristics within the enclosure. The findings indicate that as the Hartmann number increases (while keeping the Hartmann number constant) the heat transfer rate is enhanced. To validate their findings, the researchers compare their results with previously published works in the field.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115824853","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}
Pub Date : 2023-07-10DOI: 10.9734/arjom/2023/v19i9701
Deep Bhattacharjee, Sanjeevan Singha Roy, Riddhima Sadhu, A. Behera
Type-II emphasizing Type-II(B) in Ramond–Ramond Sector has been analysed and computed from the Atiyah–Hirzebruch spectral sequence taking sheets for the concerned values of and for for ; several varieties of K–Theories where a transitive approach has been shown from the KK–Theory to K–Theory to String Theory concerning Fredholm modules of Atiyah–Singer Index Theorem and the Baum–Connes conjecture with respect to the Hilbert–A, Hilbert–B module and c*-algebras also in the reduced form taking Morita equivalence and the Kasparov composition product where extended relations has been provided between the equivalence of noncommutative geometry and noncommutative topology channelized through Poincaré Duality, Thom Isomorphism and Todd class.
{"title":"KK Theory and K Theory for Type II Strings Formalism","authors":"Deep Bhattacharjee, Sanjeevan Singha Roy, Riddhima Sadhu, A. Behera","doi":"10.9734/arjom/2023/v19i9701","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9701","url":null,"abstract":"Type-II emphasizing Type-II(B) in Ramond–Ramond Sector has been analysed and computed from the Atiyah–Hirzebruch spectral sequence taking sheets for the concerned values of and for for ; several varieties of K–Theories where a transitive approach has been shown from the KK–Theory to K–Theory to String Theory concerning Fredholm modules of Atiyah–Singer Index Theorem and the Baum–Connes conjecture with respect to the Hilbert–A, Hilbert–B module and c*-algebras also in the reduced form taking Morita equivalence and the Kasparov composition product where extended relations has been provided between the equivalence of noncommutative geometry and noncommutative topology channelized through Poincaré Duality, Thom Isomorphism and Todd class.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128585974","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}
Pub Date : 2023-07-10DOI: 10.9734/arjom/2023/v19i9700
Onwukwe Ijioma
We investigate the optimal investment strategies of DC pension under stochastic volatility model using combined Heston-Hull-White (HHW) model with a constant income drawdown. The pension fund manager (PFM) aims to maximize the expected terminal utility of wealth in a complete market setting under constant relative risk aversion (CRRA). The goal of the PFM is to maintain the standard of living of the participants after retirement. We derive the HJB equation associated with the control problem and finally established the close form solution using stochastic dynamic programming principle (SDPP). The results show that the optimal investment and benefit payment strategies converge uniquely with time.
{"title":"Optimal Investment Strategies for DC-Pension Fund under Combined Stochastic Volatility Models","authors":"Onwukwe Ijioma","doi":"10.9734/arjom/2023/v19i9700","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9700","url":null,"abstract":"We investigate the optimal investment strategies of DC pension under stochastic volatility model using combined Heston-Hull-White (HHW) model with a constant income drawdown. The pension fund manager (PFM) aims to maximize the expected terminal utility of wealth in a complete market setting under constant relative risk aversion (CRRA). The goal of the PFM is to maintain the standard of living of the participants after retirement. We derive the HJB equation associated with the control problem and finally established the close form solution using stochastic dynamic programming principle (SDPP). The results show that the optimal investment and benefit payment strategies converge uniquely with time.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"R-27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126629389","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}
Pub Date : 2023-06-30DOI: 10.9734/arjom/2023/v19i9699
Ranelyn I. Ral, Ann Leslie V. Flores
Studies on the binary block codes generated by some ordered algebraic structures have been the interest of many researchers. In this paper, we study the binary block code generated by an arbitrary JU-algebra and investigate some of its properties. For this intent, we introduce the notion of a JU function (phi) on a nonempty set P into a JU-algebra X, and by using that concept, j-functions and j-subsets of P for an arbitrary element j on a JU-algebra X are investigated. Furthermore, we define a new order on the generated code C based on the JU-algebra X, and show that every finite JU-algebra with its order and the corresponding generated code C with the defined order have the same structures. Finally, we generate a JU-algebra from a particular set of binary block code.
{"title":"A Binary Block Code Generated by JU-Algebras","authors":"Ranelyn I. Ral, Ann Leslie V. Flores","doi":"10.9734/arjom/2023/v19i9699","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9699","url":null,"abstract":"Studies on the binary block codes generated by some ordered algebraic structures have been the interest of many researchers. In this paper, we study the binary block code generated by an arbitrary JU-algebra and investigate some of its properties. For this intent, we introduce the notion of a JU function (phi) on a nonempty set P into a JU-algebra X, and by using that concept, j-functions and j-subsets of P for an arbitrary element j on a JU-algebra X are investigated. Furthermore, we define a new order on the generated code C based on the JU-algebra X, and show that every finite JU-algebra with its order and the corresponding generated code C with the defined order have the same structures. Finally, we generate a JU-algebra from a particular set of binary block code.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124879365","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}
Pub Date : 2023-06-30DOI: 10.9734/arjom/2023/v19i9698
Xintong Yang
Understanding the characteristics of Newtonian mathematics is of great value. By analyzing some of Newton’s representative mathematical contents, we found that: Newton used the thought of mathematical mechanization in his mathematics. Newton applied the thought of mathematical mechanization to the study not only of calculus but of arithmetic, algebra, polynomials, higher-order equation, geometry, series, differential equation, etc. Newton’s application of this thought in traditional mathematics is very similar to that of ancient Chinese mathematicians. While in modern mathematics, his procedures are briefer, faster, and more comprehensive than that of other mathematicians at that time. Newton’s wide application of the thought of mathematical mechanization strongly promoted the development of Western mathematics. Like Descartes and Leibniz, Newton was also a pioneer of the development and practical application of the thought of mathematical mechanization in the Western world.
{"title":"The Mechanization thought and its Characteristics Contained in Newton's Mathematics","authors":"Xintong Yang","doi":"10.9734/arjom/2023/v19i9698","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9698","url":null,"abstract":"Understanding the characteristics of Newtonian mathematics is of great value. By analyzing some of Newton’s representative mathematical contents, we found that: Newton used the thought of mathematical mechanization in his mathematics. Newton applied the thought of mathematical mechanization to the study not only of calculus but of arithmetic, algebra, polynomials, higher-order equation, geometry, series, differential equation, etc. Newton’s application of this thought in traditional mathematics is very similar to that of ancient Chinese mathematicians. While in modern mathematics, his procedures are briefer, faster, and more comprehensive than that of other mathematicians at that time. Newton’s wide application of the thought of mathematical mechanization strongly promoted the development of Western mathematics. Like Descartes and Leibniz, Newton was also a pioneer of the development and practical application of the thought of mathematical mechanization in the Western world.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127850576","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}
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