Pub Date : 1900-01-01DOI: 10.5958/2394-9309.2023.00001.x
S. Sasikala, V. Abinaya
{"title":"The M/M/c/N Interdependent Inter Arrival Queueing Model with Controllable Arrival Rates, Reverse Balking and Impatient Customers","authors":"S. Sasikala, V. Abinaya","doi":"10.5958/2394-9309.2023.00001.x","DOIUrl":"https://doi.org/10.5958/2394-9309.2023.00001.x","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"516 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126724715","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 : 1900-01-01DOI: 10.5958/2394-9309.2023.00002.1
Rashi Jaiswal
{"title":"Stride Window Approach in Multiclass Classification for Temporal Sensor Data Augmentation","authors":"Rashi Jaiswal","doi":"10.5958/2394-9309.2023.00002.1","DOIUrl":"https://doi.org/10.5958/2394-9309.2023.00002.1","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114695962","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 : 1900-01-01DOI: 10.5958/2394-9309.2022.00067.1
U. S. Negi, Preeti Chauhan
{"title":"Tensor structures and recurrent Z-forms in riemannian manifolds","authors":"U. S. Negi, Preeti Chauhan","doi":"10.5958/2394-9309.2022.00067.1","DOIUrl":"https://doi.org/10.5958/2394-9309.2022.00067.1","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121907960","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 : 1900-01-01DOI: 10.5958/2394-9309.2022.00074.9
G. Janaki, A. G. Shankari
{"title":"Cryptographic algorithm using binary quadratic equation x2 - 7y2 = 1 with exponent assignment of alphabets","authors":"G. Janaki, A. G. Shankari","doi":"10.5958/2394-9309.2022.00074.9","DOIUrl":"https://doi.org/10.5958/2394-9309.2022.00074.9","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123223831","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 : 1900-01-01DOI: 10.5958/2394-9309.2021.00020.2
T. Kalanov
An analysis of the foundations of geometry within the framework of the correct methodological basis – the unity of formal logic and rational dialectics – is proposed. The analysis leads to the following result: (1) geometry is an engineering science, but not a field of mathematics; (2) the essence of geometry is the construction of material figures (systems) and study of their properties; (3) the starting point of geometry is the following system principle: the properties of material figures (systems) determine the properties of the elements of figures; the properties of elements characterize the properties of figures (systems); (4) the axiomatization of geometry is a way of construction of the science as a set (system) of practical principles. Sets (systems) of practice principles can be complete or incomplete; (5) the book, “The Foundations of Geometry” by David Hilbert, represents a methodologically incorrect work. It does not satisfy the dialectical principle of cognition, “practice theory practice,” because practice is not the starting point and final point in Hilbert’s theoretical approach (analysis). Hilbert did not understand that: (a) scientific intuition must be based on practical experience; intuition that is not based on practical experience is fantasy; (b) the correct science does not exist without definitions of concepts; the definitions of geometric concepts are the genetic (technological) definitions that shows how given material objects arise (i.e., how a person creates given material objects); (c) the theory must be constructed within the framework of the correct methodological basis: the unity of formal logic and rational dialectics. (d) the theory must satisfy the correct criterion of truth: the unity of formal logic and rational dialectics. Therefore, Hilbert cannot prove the theorem of trisection of angle and the theorem of sum of interior angles (concluded angles) of triangle on the basis of his axioms. This fact signifies that Hilbert’s system of axioms is incomplete. In essence, Hilbert’s work is a superficial, tautological and logically incorrect verbal description of Figures 1-52 in his work.
{"title":"On the problem of axiomatization of geometry","authors":"T. Kalanov","doi":"10.5958/2394-9309.2021.00020.2","DOIUrl":"https://doi.org/10.5958/2394-9309.2021.00020.2","url":null,"abstract":"An analysis of the foundations of geometry within the framework of the correct methodological basis – the unity of formal logic and rational dialectics – is proposed. The analysis leads to the following result: (1) geometry is an engineering science, but not a field of mathematics; (2) the essence of geometry is the construction of material figures (systems) and study of their properties; (3) the starting point of geometry is the following system principle: the properties of material figures (systems) determine the properties of the elements of figures; the properties of elements characterize the properties of figures (systems); (4) the axiomatization of geometry is a way of construction of the science as a set (system) of practical principles. Sets (systems) of practice principles can be complete or incomplete; (5) the book, “The Foundations of Geometry” by David Hilbert, represents a methodologically incorrect work. It does not satisfy the dialectical principle of cognition, “practice theory practice,” because practice is not the starting point and final point in Hilbert’s theoretical approach (analysis). Hilbert did not understand that: (a) scientific intuition must be based on practical experience; intuition that is not based on practical experience is fantasy; (b) the correct science does not exist without definitions of concepts; the definitions of geometric concepts are the genetic (technological) definitions that shows how given material objects arise (i.e., how a person creates given material objects); (c) the theory must be constructed within the framework of the correct methodological basis: the unity of formal logic and rational dialectics. (d) the theory must satisfy the correct criterion of truth: the unity of formal logic and rational dialectics. Therefore, Hilbert cannot prove the theorem of trisection of angle and the theorem of sum of interior angles (concluded angles) of triangle on the basis of his axioms. This fact signifies that Hilbert’s system of axioms is incomplete. In essence, Hilbert’s work is a superficial, tautological and logically incorrect verbal description of Figures 1-52 in his work. ","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128720128","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 : 1900-01-01DOI: 10.5958/2394-9309.2022.00056.7
Vandana Saini, Deepak Gupta, A. Tripathi
{"title":"Analytical study of a complex feed back semi bi-tandem queue system differ in transition probabilities","authors":"Vandana Saini, Deepak Gupta, A. Tripathi","doi":"10.5958/2394-9309.2022.00056.7","DOIUrl":"https://doi.org/10.5958/2394-9309.2022.00056.7","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124581260","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 : 1900-01-01DOI: 10.5958/2394-9309.2023.00011.2
R. Bala, P. Bhatia, M. Garg
{"title":"Application of Reliability Modelling in Performance Analysis of Dentistry System","authors":"R. Bala, P. Bhatia, M. Garg","doi":"10.5958/2394-9309.2023.00011.2","DOIUrl":"https://doi.org/10.5958/2394-9309.2023.00011.2","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133378337","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 : 1900-01-01DOI: 10.5958/2394-9309.2022.00058.0
Sarita, Sanjeev Kumar, P. Bhatia
{"title":"Analysis of a stochastic model of a standby system with substandard unit and correlated life time","authors":"Sarita, Sanjeev Kumar, P. Bhatia","doi":"10.5958/2394-9309.2022.00058.0","DOIUrl":"https://doi.org/10.5958/2394-9309.2022.00058.0","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"01 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131119299","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 : 1900-01-01DOI: 10.5958/2394-9309.2023.00016.1
Aarti Saini, D. Gupta, A. K. Tripathi
{"title":"Analysis of Fuzzy Priority Queuing System with Heterogeneous Servers","authors":"Aarti Saini, D. Gupta, A. K. Tripathi","doi":"10.5958/2394-9309.2023.00016.1","DOIUrl":"https://doi.org/10.5958/2394-9309.2023.00016.1","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122213696","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 : 1900-01-01DOI: 10.5958/2394-9309.2022.00051.8
M. L. Mallikarjuna, V. K. Katiyar, K. S. Basavarajappa, T. K. K. Kumar
{"title":"Mathematical study on thermal pollution with reference to diffusional transfer of dispersants","authors":"M. L. Mallikarjuna, V. K. Katiyar, K. S. Basavarajappa, T. K. K. Kumar","doi":"10.5958/2394-9309.2022.00051.8","DOIUrl":"https://doi.org/10.5958/2394-9309.2022.00051.8","url":null,"abstract":"","PeriodicalId":414880,"journal":{"name":"Arya Bhatta Journal of Mathematics and Informatics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115271466","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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