Turkish Journal of Mathematics and Computer Science最新文献

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On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds 论洛伦兹准萨萨基流形的半不变子流形的曲率
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-12-13 DOI: 10.47000/tjmcs.1322351
Ramazan Sari, İ. Ünal
{"title":"On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds","authors":"Ramazan Sari, İ. Ünal","doi":"10.47000/tjmcs.1322351","DOIUrl":"https://doi.org/10.47000/tjmcs.1322351","url":null,"abstract":"A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant $ varphi- $ holomorphic sectional curvature. The presented paper is on the curvatures of semi-invariant submanifolds of a LP-Sasakian space form. Firstly, the definition of a semi-invariant submanifold of LP-Sasakian space form is given and an example is presented. Then, using Gauss equation related to curvatures used for obtaining some important results on Ricci and scalar curvatures. Moreover, by suffering from these results conditions of distributions being Einstein have been examined. Finally, semi-invariant products of Lorentzian para-Sasakian manifolds have been considered and an important inequality for second fundamental form is proved.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139180801","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
Investigating the Laplace transform method's efficiency to a simple engineering problem 研究拉普拉斯变换法解决简单工程问题的效率
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-11-13 DOI: 10.47000/tjmcs.1378857
Huseyin Demir, İnci ÇİLİNGİR SÜNGÜ, İbrahim Keles
{"title":"Investigating the Laplace transform method's efficiency to a simple engineering problem","authors":"Huseyin Demir, İnci ÇİLİNGİR SÜNGÜ, İbrahim Keles","doi":"10.47000/tjmcs.1378857","DOIUrl":"https://doi.org/10.47000/tjmcs.1378857","url":null,"abstract":"In this study, it is aimed to solve the differential equation that forms a simple engineering system and transform it into the Laplace domain, and then to investigate the effectiveness of the method used to compare the solutions with the exact solutions. For this purpose, first, the solutions of a given test function with analytical and numerical Laplace inverse transform methods (Durbin, Stehfest and Talbot) are given comparatively. Although the values obtained from these three methods overlap with each other but it is observed that the Talbot inverse transform method is more suitable than the other two methods due to its lower calculation time requirement. In addition, Talbot’s method and analytical solutions to engineering problems related to the vibratory mechanical system, heat conduction problem and a single matrix block in a fractured reservoir non-isothermal gravity drainage are numerically compared. It is understood that the Talbot inverse transform method is quite effective, and this is evident from the consistency of the numerical results and analytical results of the study. The findings show that the proposed method is very suitable and the method is easy to implement without much difficulty for solving a simple engineering problem.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"20 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139278997","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
Skin Lesion Classification Using Convolutional Neural Network and ABCD Rule 使用卷积神经网络和 ABCD 规则进行皮肤病变分类
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-11-06 DOI: 10.47000/tjmcs.1249300
Ezgi Kestek, Mehmet Emin Aktan, E. Akdogan
{"title":"Skin Lesion Classification Using Convolutional Neural Network and ABCD Rule","authors":"Ezgi Kestek, Mehmet Emin Aktan, E. Akdogan","doi":"10.47000/tjmcs.1249300","DOIUrl":"https://doi.org/10.47000/tjmcs.1249300","url":null,"abstract":"Skin cancer, which can occur in any part of the human skin, is one of the common and serious types of cancer. Accurate diagnosis and segmentation of lesions are crutial to the early diagnosis. Computer-aided diagnosis make important contributions to help doctors in the diagnosis of cancer from skin images. The most important factor for such systems to reveal the accurate results is the correct feature extraction. In this study, a model for the classification of seven types of skin lesions was developed by combining the features of CNN-based feature extraction and the ABCD rule, which is widely used in the clinic. The model was evaluated on HAM10000 well-known dataset. The classification results obtained with different combinations of features and machine learning algorithms were compared. According to the results, the best classification accuracy was obtained with the Cosine Similarity Classifier with 96.4% when the features determined by CNN and the features in the ABCD rule were used together.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139288165","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
Quasi-Concircular Curvature Tensor on Generalized Sasakian Space-Forms 广义萨萨基空间形式上的准圆周曲率张量
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-11-03 DOI: 10.47000/tjmcs.1194308
Rana Pratap Singh Yadav, Bhagwat Prasad
{"title":"Quasi-Concircular Curvature Tensor on Generalized Sasakian Space-Forms","authors":"Rana Pratap Singh Yadav, Bhagwat Prasad","doi":"10.47000/tjmcs.1194308","DOIUrl":"https://doi.org/10.47000/tjmcs.1194308","url":null,"abstract":"The object of the present paper is to study Quasi-concircularly flat and $phi-$quasi-concircularly flat generalized Sasakian-space-forms. Also, we consider generalized Sasakian-space-forms satisfying the condition $P(xi, X).widetilde{V}=0, widetilde{V}(xi, X).P=0, $ and $widetilde{V}(xi, X).widetilde{V}=0$ and we obtain some important results. Finally, we give an example.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"121 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139289727","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
Social Media User Opinion Analysis Using Deep Learning and Machine Learning Methods: A Case Study on Airlines 使用深度学习和机器学习方法分析社交媒体用户观点:航空公司案例研究
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-10-31 DOI: 10.47000/tjmcs.1368430
Ömer Ayberk Şencan, I. Atacak
{"title":"Social Media User Opinion Analysis Using Deep Learning and Machine Learning Methods: A Case Study on Airlines","authors":"Ömer Ayberk Şencan, I. Atacak","doi":"10.47000/tjmcs.1368430","DOIUrl":"https://doi.org/10.47000/tjmcs.1368430","url":null,"abstract":"ABsTRACT. The rapid surge in social media usage has augmented the significance and value of data available on these platforms. As a result, analyzing community sentiment and opinions related to various topics and events using social media data has become increasingly crucial. However, the sheer volume of data produced on social media platforms surpasses human processing capabilities. Consequently, artificial intelligence-based models became frequently employed in social media analysis. In this study, deep learning (DL) and machine learning (ML) methods are applied to assess user opinions regarding airlines, and the effectiveness of these methods in social media analysis is comparatively discussed based on the performance results obtained. Due to the imbalanced nature of the dataset, synthetic data is produced using the Synthetic Minority Over-Sampling Technique (SMOTE) to enhance model performance. Before the SMOTE process, the dataset containing 14640 data points expanded to 27534 data points after the SMOTE process. The experimental results demonstrate that Support Vector Machines (SVM) achieved the highest performance among all methods with accuracy, precision, recall, and F-score values of 0.79 in the pre-SMOTE (imbalanced dataset). In contrast, Random Forest (RF) obtained the best performance among all methods, with accuracy, precision, recall, and F-score values of 0.88 in the post-SMOTE (balanced data set). Moreover, experimental findings demonstrate that SMOTE led to performance improvements in ML and DL models, ranging from a minimum of 3% to a maximum of 24% increase in F-Score metric.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139309594","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
On tangent bundles of submanifolds of a Riemannian manifold endowed with quarter-symmetric non-metric connection 关于具有四分之一对称非度量连接的黎曼流形子流形的切线束
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-10-07 DOI: 10.47000/tjmcs.1355887
Mohammad Nazrul Islam Khan, Lovejoy Das
{"title":"On tangent bundles of submanifolds of a Riemannian manifold endowed with quarter-symmetric non-metric connection","authors":"Mohammad Nazrul Islam Khan, Lovejoy Das","doi":"10.47000/tjmcs.1355887","DOIUrl":"https://doi.org/10.47000/tjmcs.1355887","url":null,"abstract":"The object of this article is to study a quarter-symmetric non-metric connection in the tangent bundle and induced metric and connection on submanifold of co-dimension 2 and hypersurface concerning the quarter-symmetric non-metric connection in the tangent bundle. The Weingarten equations concerning the quarter-symmetric non-metric connection on a submanifold of co-dimension 2 and the hypersurface in the tangent bundle are obtained. Finally, authors deduce the Riemannian curvature tensor and Gauss and Codazzi equations on a submanifold of co-dimension 2 and hypersurface of the Riemannian manifold concerning the quarter-symmetric non-metric connection in the tangent bundle.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139321961","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
Four New Sequence Spaces Obtained From The Domain Of Quadruple Band Matrix Operator 从四重带状矩阵算子域获得的四个新序列空间
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-10-07 DOI: 10.47000/tjmcs.1274395
M. Bi̇şgi̇n
{"title":"Four New Sequence Spaces Obtained From The Domain Of Quadruple Band Matrix Operator","authors":"M. Bi̇şgi̇n","doi":"10.47000/tjmcs.1274395","DOIUrl":"https://doi.org/10.47000/tjmcs.1274395","url":null,"abstract":"In this work, we construct the sequence spaces $c_{0}(Q)$, $c(Q)$, $ell_{infty}(Q)$ and $ell_{p}(Q)$ derived by the domain of quadruple band matrix, which generalizes the matrices $Delta^{3}$, $B(r,s,t)$, $Delta^{2}$, $B(r,s)$, $Delta$, where $Delta^{3}$, $B(r,s,t)$, $Delta^{2}$, $B(r,s)$ and $Delta$ are called third order difference, triple band, second order difference, double band and difference matrix, in turn. Also, we investigate some topological properties and some inclusion relations related to those spaces. Furthermore, we give the Schauder basis of the spaces $c_{0}(Q)$, $c(Q)$ and $ell_{p}(Q)$, and determine $alpha-beta-$ and $gamma-$duals of those spaces. Lastly, we characterize some matrix classes related to some of those spaces.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"64 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139322016","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 Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus 几何乘法微积分中的修正二次洛伦兹吸引器
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-09-20 DOI: 10.47000/tjmcs.1249554
Bugce EMİNAGA TATLİCİOGLU
{"title":"A Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus","authors":"Bugce EMİNAGA TATLİCİOGLU","doi":"10.47000/tjmcs.1249554","DOIUrl":"https://doi.org/10.47000/tjmcs.1249554","url":null,"abstract":"In this study the modified quadratic Lorenz attractor is introduced in geometric multiplicative calculus. The new system is analyzed and discussed for the chaotic behaviour in detail. The equilibria points, the eigenvalues of the multiplicative Jacobian, and the Lyapunov exponents are determined. The numerical simulations are conducted using the Runge-Kutta method in the framework of geometric multiplicative calculus highlighting the chaotic behaviour.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139338366","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
Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold 准萨萨基流形的伪平行不变子流形
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-09-15 DOI: 10.47000/tjmcs.1124668
Tuğba Mert, M. Atc̣eken
{"title":"Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold","authors":"Tuğba Mert, M. Atc̣eken","doi":"10.47000/tjmcs.1124668","DOIUrl":"https://doi.org/10.47000/tjmcs.1124668","url":null,"abstract":"In this paper, invariant submanifolds of a para-Sasakian manifold are studied. For a para-Sasakian manifold, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparalel cases are considered and new results are obtained. The necessary and sufficient are given for an invriant submanifold to be totally geodesic under the some conditions.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139339784","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
New conservative schemes for Zakharov equation 扎哈罗夫方程的新保守方案
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-09-06 DOI: 10.47000/tjmcs.1226770
Ayhan Aydin, Bahaa Ahmed Khalaf Sabawe
{"title":"New conservative schemes for Zakharov equation","authors":"Ayhan Aydin, Bahaa Ahmed Khalaf Sabawe","doi":"10.47000/tjmcs.1226770","DOIUrl":"https://doi.org/10.47000/tjmcs.1226770","url":null,"abstract":"New first order and second order energy preserving schemes are proposed for the Zakharov system. The methods are fully implicit and semi-explicit. It has been found that the first order method is also mass conserving. Concrete schemes have been applied to simulate the soliton evolution of the Zakharov system. Numerical results show that the proposed methods capture the remarkable features of the Zakharov equation. We obtained that the semi-explicit methods are more efficient than the fully implicit methods. Numerical results also show that the new energy preserving schemes well simulate the soliton evolution of the Zakharov system.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"81 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139342204","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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