Pub Date : 2023-05-26DOI: 10.26782/jmcms.2023.05.00001
Md. Ishaque Ali
Haque’s Approach with Mickens’ Iteration Method is used to find the exact analytic solution of the nonlinear equation involving velocity times acceleration squared. A truncated Fourier series is used in different rhythms with different repetition steps. Our results are very close to the exact results and our results are comparatively closer to the exact results than others. Our solution method is obtained around the second-order angular frequency using Newton’s method. For some third-order (jerk) differential equations with cubic nonlinearities and nonlinear second-order differential equations; Mickens’ iteration method is used to determine the exact analytical approximate periodic solution. A numerical experiment of general differential equations with third-order, one-dimensional, autonomous, quadratic, and cubic nonlinearity has uncovered several algebraically simple equations involving the shaking of time-dependent acceleration that contain chaotic solutions.
{"title":"ADEQUATE SOLUTIONS OF JERK OSCILLATORS CONTAINING VELOCITY TIMES ACCELERATION-SQUARED: HAQUE’S APPROACH WITH MICKENS’ ITERATION METHOD","authors":"Md. Ishaque Ali","doi":"10.26782/jmcms.2023.05.00001","DOIUrl":"https://doi.org/10.26782/jmcms.2023.05.00001","url":null,"abstract":"Haque’s Approach with Mickens’ Iteration Method is used to find the exact analytic solution of the nonlinear equation involving velocity times acceleration squared. A truncated Fourier series is used in different rhythms with different repetition steps. Our results are very close to the exact results and our results are comparatively closer to the exact results than others. Our solution method is obtained around the second-order angular frequency using Newton’s method. For some third-order (jerk) differential equations with cubic nonlinearities and nonlinear second-order differential equations; Mickens’ iteration method is used to determine the exact analytical approximate periodic solution. A numerical experiment of general differential equations with third-order, one-dimensional, autonomous, quadratic, and cubic nonlinearity has uncovered several algebraically simple equations involving the shaking of time-dependent acceleration that contain chaotic solutions.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131446624","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 : 2023-05-26DOI: 10.26782/jmcms.2023.05.00002
Arunava Bhattacharyya
Using TOAD based switch we have designed a parallel half-adder. The approach to designing all-optical arithmetic circuits not only enhances the computational speed but is also capable of synthesizing light as input to produce the desired output. The main advantage of a parallel circuit is the synchronization of input is not required. All the circuits are designed theoretically and verified through numerical simulations .
{"title":"ALL-OPTICAL PARALLEL HALF ADDER USING TERAHERTZ OPTICAL ASYMMETRIC DEMULTIPLEXER","authors":"Arunava Bhattacharyya","doi":"10.26782/jmcms.2023.05.00002","DOIUrl":"https://doi.org/10.26782/jmcms.2023.05.00002","url":null,"abstract":"Using TOAD based switch we have designed a parallel half-adder. The approach to designing all-optical arithmetic circuits not only enhances the computational speed but is also capable of synthesizing light as input to produce the desired output. The main advantage of a parallel circuit is the synchronization of input is not required. All the circuits are designed theoretically and verified through numerical simulations .","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125777180","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 : 2023-04-28DOI: 10.26782/jmcms.2023.04.00003
Alperen Şenol
In this study, the assessment of major factors that directly impact the success of the Industry 4.0 integration of the supply chain in terms of tangible and intangible business resources as well as the mediating role of work engagement over these business resources was performed. A total of 685 survey questions were distributed to voluntary participants in the supply chain management industry and 182 responses were studied. Structural Equation Modelling using AMOS software was carried out. Analysis such as variables and their related measurement scales, data screening, replacing missing values, removing outliers and testing normality of data, Harman’s single-factor test, and Confirmatory Factor Analysis were conducted. Descriptive results of the constructs were discussed.
{"title":"THE INTEGRATION OF SUPPLY CHAIN MANAGEMENT AND INDUSTRY 4.0: ANALYSIS OF STRUCTURAL RELATIONSHIPS","authors":"Alperen Şenol","doi":"10.26782/jmcms.2023.04.00003","DOIUrl":"https://doi.org/10.26782/jmcms.2023.04.00003","url":null,"abstract":"In this study, the assessment of major factors that directly impact the success of the Industry 4.0 integration of the supply chain in terms of tangible and intangible business resources as well as the mediating role of work engagement over these business resources was performed. A total of 685 survey questions were distributed to voluntary participants in the supply chain management industry and 182 responses were studied. Structural Equation Modelling using AMOS software was carried out. Analysis such as variables and their related measurement scales, data screening, replacing missing values, removing outliers and testing normality of data, Harman’s single-factor test, and Confirmatory Factor Analysis were conducted. Descriptive results of the constructs were discussed.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"192 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133482069","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 : 2023-04-28DOI: 10.26782/jmcms.2023.04.00001
S. Akhter
In this paper, the author studied the skeletal congruences θ^* of a distributive nearlattice S, where * represents the pseudocomplement. Then the author described θ(I)^*, where θ(I) is the smallest congruence of S containing n-ideal I as a class and showed that I^+ is the n-kernel of θ(I)^*. In this paper, the author established the following fundamental results: When n is an upper element of a distributive nearlattice S, the author has shown that the n-kernels of the skeletal congruences are precisely those n-ideals which are the intersection of relative annihilator ideals and dual relative annihilator ideals whose endpoints are of the form x∨n and x∧n respectively. For a central element n of a distributive nearlattice S, the author proved that P_n (S) is disjunctive if and only if the n-kernel of each skeletal congruence is an annihilator n-ideal. Finally, the author discussed that P_n (S) is semi-Boolean if and only if the map θ→Ker_n θ is a lattice isomorphism of SC(S) onto K_n SC(S) whose inverse is the map I→θ(I) where I is an n-ideal and n is a central element of S.
{"title":"n-KERNELS OF SKELETAL CONGRUENCES ON A DISTRIBUTIVE NEARLATTICE","authors":"S. Akhter","doi":"10.26782/jmcms.2023.04.00001","DOIUrl":"https://doi.org/10.26782/jmcms.2023.04.00001","url":null,"abstract":"In this paper, the author studied the skeletal congruences θ^* of a distributive nearlattice S, where * represents the pseudocomplement. Then the author described θ(I)^*, where θ(I) is the smallest congruence of S containing n-ideal I as a class and showed that I^+ is the n-kernel of θ(I)^*. In this paper, the author established the following fundamental results: When n is an upper element of a distributive nearlattice S, the author has shown that the n-kernels of the skeletal congruences are precisely those n-ideals which are the intersection of relative annihilator ideals and dual relative annihilator ideals whose endpoints are of the form x∨n and x∧n respectively. For a central element n of a distributive nearlattice S, the author proved that P_n (S) is disjunctive if and only if the n-kernel of each skeletal congruence is an annihilator n-ideal. Finally, the author discussed that P_n (S) is semi-Boolean if and only if the map θ→Ker_n θ is a lattice isomorphism of SC(S) onto K_n SC(S) whose inverse is the map I→θ(I) where I is an n-ideal and n is a central element of S.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121052056","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 : 2023-04-28DOI: 10.26782/jmcms.2023.04.00004
P. Bhattacharyya
According to Pythagoras Theorem : In a right-angled triangle x2 + y2 = z2 , where, base = x, altitude = y, and hypotenuse = z. In the present paper, the author states that x2 + y2 = – z2 is the extended form of the Pythagoras Theorem.
{"title":"A NEW CONCEPT OF THE EXTENDED FORM OF PYTHAGORAS THEOREM","authors":"P. Bhattacharyya","doi":"10.26782/jmcms.2023.04.00004","DOIUrl":"https://doi.org/10.26782/jmcms.2023.04.00004","url":null,"abstract":"According to Pythagoras Theorem : In a right-angled triangle x2 + y2 = z2 , where, base = x, altitude = y, and hypotenuse = z. In the present paper, the author states that x2 + y2 = – z2 is the extended form of the Pythagoras Theorem.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"492 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115304085","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 : 2023-02-26DOI: 10.26782/jmcms.2023.02.00003
C. Dey
Employee contributions have been widely acknowledged as critical to the growth of startups. Due to a lack of established structure and a need for more resources, startup employees often put in long hours with high workloads. Employees often take on multiple roles within a startup, each tailored to the business’s specific needs at any time. This results in employees being subjected to stress at work that could eventually lead them to become disloyal to their employers due to the difficulties associated with juggling work and personal duties. Therefore, this study examines how work-life balance affects employee loyalty based on the perception of employees working in startups in Kolkata, Bangalore, and New Delhi. With the help of statistical analysis techniques like correlation and regression analysis, this study takes a quantitative approach to the phenomenon being investigated, surveying 120 startup employees. The study’s results indicate that a healthy work-life balance is associated with greater employee loyalty. This paper fills a vacuum in the literature and contributes significantly to the expanding body of research that prioritizes work-life harmony to retain loyal employees.
{"title":"ANALYZING THE ROLE OF WORK-LIFE BALANCE ON EMPLOYEE LOYALTY IN INDIAN STARTUPS: A LINEAR REGRESSION-BASED APPROACH","authors":"C. Dey","doi":"10.26782/jmcms.2023.02.00003","DOIUrl":"https://doi.org/10.26782/jmcms.2023.02.00003","url":null,"abstract":"Employee contributions have been widely acknowledged as critical to the growth of startups. Due to a lack of established structure and a need for more resources, startup employees often put in long hours with high workloads. Employees often take on multiple roles within a startup, each tailored to the business’s specific needs at any time. This results in employees being subjected to stress at work that could eventually lead them to become disloyal to their employers due to the difficulties associated with juggling work and personal duties. Therefore, this study examines how work-life balance affects employee loyalty based on the perception of employees working in startups in Kolkata, Bangalore, and New Delhi. With the help of statistical analysis techniques like correlation and regression analysis, this study takes a quantitative approach to the phenomenon being investigated, surveying 120 startup employees. The study’s results indicate that a healthy work-life balance is associated with greater employee loyalty. This paper fills a vacuum in the literature and contributes significantly to the expanding body of research that prioritizes work-life harmony to retain loyal employees.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124391364","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 : 2023-02-26DOI: 10.26782/jmcms.2023.02.00002
Md. Sabur Uddin
In this analysis, we apply prominent mathematical systems like the modified (G’/G)-expansion method and the variation of (G’/G)-expansion method to the nonlinear fractional-order biological population model. We formulate twenty-three mathematical solutions, which are clarified hyperbolic, trigonometric, and rational. Using MATLAB software, we illustrate two-dimensional, three-dimensional, and contour shapes of our obtained solutions. These mathematical systems depict and display its considerate and understandable technique that generates a king type shape, singular king shapes, soliton solutions, singular lump and multiple lump shapes, periodic lump and rouge, the intersection of king and lump wave profile, and the intersection of lump and rogue wave profile. Measuring our return and that gained in the past released research shows the novelty of our analysis. These systems are also capable to represents various solutions for other fractional models in the field of applied mathematics, physics, and engineering.
{"title":"SIMULATION OF WAVE SOLUTIONS OF A FRACTIONAL-ORDER BIOLOGICAL POPULATION MODEL","authors":"Md. Sabur Uddin","doi":"10.26782/jmcms.2023.02.00002","DOIUrl":"https://doi.org/10.26782/jmcms.2023.02.00002","url":null,"abstract":"In this analysis, we apply prominent mathematical systems like the modified (G’/G)-expansion method and the variation of (G’/G)-expansion method to the nonlinear fractional-order biological population model. We formulate twenty-three mathematical solutions, which are clarified hyperbolic, trigonometric, and rational. Using MATLAB software, we illustrate two-dimensional, three-dimensional, and contour shapes of our obtained solutions. These mathematical systems depict and display its considerate and understandable technique that generates a king type shape, singular king shapes, soliton solutions, singular lump and multiple lump shapes, periodic lump and rouge, the intersection of king and lump wave profile, and the intersection of lump and rogue wave profile. Measuring our return and that gained in the past released research shows the novelty of our analysis. These systems are also capable to represents various solutions for other fractional models in the field of applied mathematics, physics, and engineering.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"128 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130009682","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 : 2023-02-26DOI: 10.26782/jmcms.2023.02.00001
P. Bhattacharyya
In this paper, the author has presented the fundamental relations between stream function or current function, and velocity potential or velocity function, φ which are ∂φ/∂x= ∂/∂y and ∂φ/∂y= – ∂/∂x where x,y,φ(x_(, ) y), (x_(, ) y) are all real in two-dimensional fluid motions using real variables only whereas these relations had been established by using complex variables by Cauchy – Riemann which are known as Cauchy – Riemann equations in fluid dynamics.
{"title":"A NOVEL CONCEPT FOR FINDING THE FUNDAMENTAL RELATIONS BETWEEN STREAM FUNCTION AND VELOCITY POTENTIAL IN REAL NUMBERS IN TWO-DIMENSIONAL FLUID MOTIONS","authors":"P. Bhattacharyya","doi":"10.26782/jmcms.2023.02.00001","DOIUrl":"https://doi.org/10.26782/jmcms.2023.02.00001","url":null,"abstract":"In this paper, the author has presented the fundamental relations between stream function or current function, and velocity potential or velocity function, φ which are ∂φ/∂x= ∂/∂y and ∂φ/∂y= – ∂/∂x where x,y,φ(x_(, ) y), (x_(, ) y) are all real in two-dimensional fluid motions using real variables only whereas these relations had been established by using complex variables by Cauchy – Riemann which are known as Cauchy – Riemann equations in fluid dynamics.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134564999","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 : 2023-01-28DOI: 10.26782/jmcms.2023.01.00003
Md. Nur Alam
The existing article examines the mathematical model (MM) representing electrical engineering (EE). We implement the unified technique (UT) to discover new wave solutions (WS) and to erect numerous kinds of solitary wave phenomena (SWP) for the studied model (SM). The SM is one of the models that have vital applications in the area of EE. The taken features provide a firm mathematical framework and may be necessary to the WSs. As an outcome, we get new kinds of WSs from. With 3-d, density, contour, and 2-d for different values of time parameters, mathematical effects explicitly manifest the suggested algorithm’s full reliability and large display. We implement a few figures in 3-d, density, contour, and 2-d for diverse values of time parameters to express that these answers have the properties of soliton waves.
{"title":"SIMULATION OF WAVE SOLUTIONS OF A MATHEMATICAL MODEL REPRESENTING ELECTRICAL ENGINEERING BY USING AN ANALYTICAL TECHNIQUE","authors":"Md. Nur Alam","doi":"10.26782/jmcms.2023.01.00003","DOIUrl":"https://doi.org/10.26782/jmcms.2023.01.00003","url":null,"abstract":"The existing article examines the mathematical model (MM) representing electrical engineering (EE). We implement the unified technique (UT) to discover new wave solutions (WS) and to erect numerous kinds of solitary wave phenomena (SWP) for the studied model (SM). The SM is one of the models that have vital applications in the area of EE. The taken features provide a firm mathematical framework and may be necessary to the WSs. As an outcome, we get new kinds of WSs from. With 3-d, density, contour, and 2-d for different values of time parameters, mathematical effects explicitly manifest the suggested algorithm’s full reliability and large display. We implement a few figures in 3-d, density, contour, and 2-d for diverse values of time parameters to express that these answers have the properties of soliton waves.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121956016","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 : 2023-01-28DOI: 10.26782/jmcms.2023.01.00001
M. M. Shaikh
In this study, a comparative analysis is to be conducted between different mathematical techniques to find out the best one which can be more suitable from all perspectives to balance equations of chemical reactions and to provide case-to-case recommendations for the practitioners. The linear algebra approach, linear programming approach, and integer linear programming approach have been successfully utilized for chemical equation balancing. Some chemical equations have been taken from the literature to see the performance of the above approaches. After highlighting the advantages and disadvantages of the existing approaches, some proposals for modification are presented. The proposed modifications have been worked out on all problems, and the integer solution is attained for all problems; even in cases where existing methods failed. The final recommendations on easier and better techniques have been provided. The two modified methods achieved top ratings among the existing and proposed methods.
{"title":"ON MATHEMATICAL METHODS TO BALANCE EQUATIONS OF CHEMICAL REACTIONS – A COMPARISON AND WAY FORWARD","authors":"M. M. Shaikh","doi":"10.26782/jmcms.2023.01.00001","DOIUrl":"https://doi.org/10.26782/jmcms.2023.01.00001","url":null,"abstract":"In this study, a comparative analysis is to be conducted between different mathematical techniques to find out the best one which can be more suitable from all perspectives to balance equations of chemical reactions and to provide case-to-case recommendations for the practitioners. The linear algebra approach, linear programming approach, and integer linear programming approach have been successfully utilized for chemical equation balancing. Some chemical equations have been taken from the literature to see the performance of the above approaches. After highlighting the advantages and disadvantages of the existing approaches, some proposals for modification are presented. The proposed modifications have been worked out on all problems, and the integer solution is attained for all problems; even in cases where existing methods failed. The final recommendations on easier and better techniques have been provided. The two modified methods achieved top ratings among the existing and proposed methods.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126675052","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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