Pub Date : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p508
Nguyen Thi Huyen, D. V. Cuong
- In this paper, we introduce the matrix classes 𝐷 ̃ (1,2, … , 𝑚; 𝑁) and it associates with functions taking values in Clifford algebras. This is an extension of the holomorphic function class from the complex plane to higher dimensional spaces. Some results and examples are presented with low-dimensional spaces
{"title":"Matrix Associate with Holomorphic Functions Taking Values in Clifford Algebras","authors":"Nguyen Thi Huyen, D. V. Cuong","doi":"10.14445/22315373/ijmtt-v69i5p508","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p508","url":null,"abstract":"- In this paper, we introduce the matrix classes 𝐷 ̃ (1,2, … , 𝑚; 𝑁) and it associates with functions taking values in Clifford algebras. This is an extension of the holomorphic function class from the complex plane to higher dimensional spaces. Some results and examples are presented with low-dimensional spaces","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124185782","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 : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p502
Tran Dinh Son
- Angle trisection is a classical problem of straightedge and compass construction from the ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. There are three classical problems in the ancient Greek mathematics which were extremely influential in the development of geometry. These problems were those of squaring the circle, doubling the cube and trisecting an angle. This Thesis focuses on the problem of trisecting an arbitrary angle. It is possible to trisect certain angles, e.g. a right angle. It is difficult to give an accurate date as to when the problem of trisecting an angle first appeared. Result of this research paper is an exact solution for the thousand-year challenge “Trisecting the Angle” by a construction with only a straightedge and a compass by means of the secondary Geometry.
{"title":"Exact Angle Trisection with Straightedge and Compass by Secondary Geometry","authors":"Tran Dinh Son","doi":"10.14445/22315373/ijmtt-v69i5p502","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p502","url":null,"abstract":"- Angle trisection is a classical problem of straightedge and compass construction from the ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. There are three classical problems in the ancient Greek mathematics which were extremely influential in the development of geometry. These problems were those of squaring the circle, doubling the cube and trisecting an angle. This Thesis focuses on the problem of trisecting an arbitrary angle. It is possible to trisect certain angles, e.g. a right angle. It is difficult to give an accurate date as to when the problem of trisecting an angle first appeared. Result of this research paper is an exact solution for the thousand-year challenge “Trisecting the Angle” by a construction with only a straightedge and a compass by means of the secondary Geometry.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"198 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133444125","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 : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p504
Aruldoss R, J. G
{"title":"A New Fractional Integral Transform and Its Applications","authors":"Aruldoss R, J. G","doi":"10.14445/22315373/ijmtt-v69i5p504","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p504","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132374425","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 : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p501
Linlin Zhao
{"title":"Long Time Behavior of the Global Solutions to the Viscous Two-Phase Flow","authors":"Linlin Zhao","doi":"10.14445/22315373/ijmtt-v69i5p501","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p501","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124125071","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 : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p507
Kyumin Nam
- In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality, and it was proved by K. Kedlaya in 1994. In this short communication, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, and harmonic-mean inequality.
{"title":"On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality","authors":"Kyumin Nam","doi":"10.14445/22315373/ijmtt-v69i5p507","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p507","url":null,"abstract":"- In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality, and it was proved by K. Kedlaya in 1994. In this short communication, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, and harmonic-mean inequality.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125885798","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 : 2023-05-30DOI: 10.14445/22315373/ijmtt-v69i5p505
Aarti Saini, Deepak Gupta, Tripathi A K
- This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.
{"title":"Analysis of Bi-Tandem Priority Queue System in Stochastic Environment","authors":"Aarti Saini, Deepak Gupta, Tripathi A K","doi":"10.14445/22315373/ijmtt-v69i5p505","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i5p505","url":null,"abstract":"- This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126802693","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 : 2023-04-30DOI: 10.14445/22315373/ijmtt-v69i4p505
A. Munde
{"title":"Numerical Simulations of Prey-predator System with Holling Type-IV Functional Response","authors":"A. Munde","doi":"10.14445/22315373/ijmtt-v69i4p505","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i4p505","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129544709","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 : 2023-04-30DOI: 10.14445/22315373/ijmtt-v69i4p502
Jonellyne R. Evangelista, Myra L. Mahinay, May Grace C. Princillo, Rosario Erika L. Quilang, Irene C. Gumiran
{"title":"The Use of Online Collaborative Learning in Teaching Operations on Functions in Synchronous Classes","authors":"Jonellyne R. Evangelista, Myra L. Mahinay, May Grace C. Princillo, Rosario Erika L. Quilang, Irene C. Gumiran","doi":"10.14445/22315373/ijmtt-v69i4p502","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i4p502","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"17 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123208893","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 : 2023-04-30DOI: 10.14445/22315373/ijmtt-v69i4p506
S. Sk
{"title":"Acquaintance with Terms and Types of Algebraic Expressions: Activity-Oriented Learning","authors":"S. Sk","doi":"10.14445/22315373/ijmtt-v69i4p506","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i4p506","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123014692","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 : 2023-04-30DOI: 10.14445/22315373/ijmtt-v69i4p507
V. G., M. M, L. P
{"title":"Some New Families of Edge, Face Edge and Total Face Edge Sum Divisor Cordial Graphs","authors":"V. G., M. M, L. P","doi":"10.14445/22315373/ijmtt-v69i4p507","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i4p507","url":null,"abstract":"","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122317589","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}