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Cα-curves and their Cα-frame in conformable differential geometry 共形微分几何学中的 Cα 曲线及其 Cα 框架
Journal of universal mathematics Pub Date : 2024-07-26 DOI: 10.33773/jum.1508243
Aykut Has, B. Yılmaz
{"title":"Cα-curves and their Cα-frame in conformable differential geometry","authors":"Aykut Has, B. Yılmaz","doi":"10.33773/jum.1508243","DOIUrl":"https://doi.org/10.33773/jum.1508243","url":null,"abstract":"The aim of this study is to redesign the space curve and its Frenet framework, which are extremely important in terms of differential geometry, by using conformable derivative arguments. In this context, conformable counterparts of basic geometric concepts such as angle, vector, line, plane and sphere have been obtained. The advantages of the conformable derivative over the classical (Newton) derivative are mentioned. Finally, new concepts produced by conformable derivative are supported with the help of examples and figures.","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"6 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799410","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 COLORING RESULTS ON SPECIAL SEMIGROUPS OBTAINED FROM PARTICULAR KNOTS 关于从特殊结得到的特殊半群的一些着色结果
Journal of universal mathematics Pub Date : 2024-07-23 DOI: 10.33773/jum.1504811
Umut Esen, A. S. Çevik, Mehmet Çitil
{"title":"SOME COLORING RESULTS ON SPECIAL SEMIGROUPS OBTAINED FROM PARTICULAR KNOTS","authors":"Umut Esen, A. S. Çevik, Mehmet Çitil","doi":"10.33773/jum.1504811","DOIUrl":"https://doi.org/10.33773/jum.1504811","url":null,"abstract":"Abstract. For a coloring set B ⊆ Zn, by considering the Fox n-coloring of any knot K and using the knot semigroup KS, we show that the set B is actually the same with the set C in the alternating sum semigroup AS(Zn, C). Then, by adapting some results on Fox n-colorings to AS(Zn, B), we obtain some new results over this semigroup. In addition, we present the existence of different homomorphisms (or different isomorphisms in some cases) between the semigroups KS and AS(Zn, B), and then obtained the number of homomorphisms is in fact a knot invariant. Moreover, for different knots K1 and K2 \u0000, we establish one can obtain a homomorphism or an isomorphism from the different knot semigroups K1S and K2S \u0000to the same alternating sum semigroup AS(Zn, B)","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"17 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141813577","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
Necessary Condition for $IA$-Automorphisms in Leibniz Algebras 莱布尼兹代数中 $IA$ 同构的必要条件
Journal of universal mathematics Pub Date : 2024-07-16 DOI: 10.33773/jum.1428190
Zeynep YAPTI ÖZKURT
{"title":"Necessary Condition for $IA$-Automorphisms in Leibniz Algebras","authors":"Zeynep YAPTI ÖZKURT","doi":"10.33773/jum.1428190","DOIUrl":"https://doi.org/10.33773/jum.1428190","url":null,"abstract":"Let $F$ be the free Leibniz algebra generated by the set $% \u0000 X={x_{1},...,x_{n}}$ over the field $K$ of characteristic $0$. consider $R$ as an \u0000 ideal of $F$. This study initially derives an explicit matrix representation for the $IA$-automorphisms of the Leibniz algebra $F/R^{prime }$. Subsequently, we establish a necessary condition for an $IA$% \u0000 -endomorphism of $F/R^{prime }$ to be an $IA$-automorphism. This method is explicitly based on Dieudonn'{e} determinant.","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"5 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141641788","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 GRADIENT AND PARTIAL DERIVATIVES OF BICOMPLEX NUMBERS: A COMMUTATIVE-QUATERNION APPROACH 二复数的梯度和偏导数：交换四元数方法
Journal of universal mathematics Pub Date : 2024-01-31 DOI: 10.33773/jum.1334588
Ali Atasoy
{"title":"THE GRADIENT AND PARTIAL DERIVATIVES OF BICOMPLEX NUMBERS: A COMMUTATIVE-QUATERNION APPROACH","authors":"Ali Atasoy","doi":"10.33773/jum.1334588","DOIUrl":"https://doi.org/10.33773/jum.1334588","url":null,"abstract":"The study of bicomplex numbers, specifically commutative-quaternions, offers a fascinating exploration into the properties of complexified quaternions with commutative multiplication. Understanding the gradient and partial derivatives within this mathematical framework is crucial for analyzing the behavior of bicomplex functions. Real quaternions are not commutative but bicomplex numbers are commutative by multiplication. Bicomplex numbers are the special case of real quaternions. In this study, gradient and partial derivatives are obtained for bicomplex number valued functions.","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140470226","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
PLANE KINEMATICS IN LORENTZIAN HOMOTHETIC MULTIPLICATIVE CALCULUS 洛伦兹同乘微积分中的平面运动学
Journal of universal mathematics Pub Date : 2024-01-31 DOI: 10.33773/jum.1411844
Hasan Es
{"title":"PLANE KINEMATICS IN LORENTZIAN HOMOTHETIC MULTIPLICATIVE CALCULUS","authors":"Hasan Es","doi":"10.33773/jum.1411844","DOIUrl":"https://doi.org/10.33773/jum.1411844","url":null,"abstract":"In this study, Lorentzian plane homothetic multiplicative calculus kinematics is discussed. \u0000Lorentzian plane homothetic multiplicative calculus movement, the pole points of a point X relative to \u0000the moving and fixed plane are discussed. In this motion, the velocities and accelerations of a point \u0000X are obtained. In this motion, the relations between the velocities and accelerations of a point X are \u0000obtained. In addition, new theorems and results are given.","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"415 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472522","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 note of the combinatorial interpretation of the Perrin and Tetrarrin sequence 佩林和特特拉林序列的组合解释说明
Journal of universal mathematics Pub Date : 2024-01-29 DOI: 10.33773/jum.1372291
R. Vieira, E. V. Pereira Spreafico, Francisco Régis Vieira Alves, Paula Maria Machado CRUZ CATARİNO
{"title":"A note of the combinatorial interpretation of the Perrin and Tetrarrin sequence","authors":"R. Vieira, E. V. Pereira Spreafico, Francisco Régis Vieira Alves, Paula Maria Machado CRUZ CATARİNO","doi":"10.33773/jum.1372291","DOIUrl":"https://doi.org/10.33773/jum.1372291","url":null,"abstract":"The present study carries out an investigation around the Perrin and Tetrarrin numbers, allowing a combinatorial interpretation for these sequences. Furthermore, it is possible to establish a study around the respective polynomial numbers of Perrin and Tetrarrin, using the bracelet method. With this, we have the definition of combinatorial models of these numbers, contributing to the evolution of these sequences with their respective combinatorial approaches. As a conclusion, there is a discussion of theorems referring to the combinatorial models of these sequences, allowing the study of the mathematical advancement of these numbers.","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"58 43","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140487178","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
PLANE KINEMATICS IN HOMOTHETIC MULTIPLICATIVE CALCULUS 同源乘法微积分中的平面运动学
Journal of universal mathematics Pub Date : 2024-01-29 DOI: 10.33773/jum.1408506
Hasan Es
{"title":"PLANE KINEMATICS IN HOMOTHETIC MULTIPLICATIVE CALCULUS","authors":"Hasan Es","doi":"10.33773/jum.1408506","DOIUrl":"https://doi.org/10.33773/jum.1408506","url":null,"abstract":"In this study, pole points of motion, pole trajectories, velocities, accelerations and relations \u0000between velocities and accelerations are obtained. In addition we gave some new theorems","PeriodicalId":484580,"journal":{"name":"Journal of universal mathematics","volume":"25 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140489401","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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