i-manager’s Journal on Mathematics最新文献

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On Kolmogorov Complexity of Unitary Transformations in Quantum Computing 论量子计算中酉变换的Kolmogorov复杂度
i-manager’s Journal on Mathematics Pub Date : 2021-10-10 DOI: 10.26634/jmat.11.2.19190
A. Kaltchenko
{"title":"On Kolmogorov Complexity of Unitary Transformations in Quantum Computing","authors":"A. Kaltchenko","doi":"10.26634/jmat.11.2.19190","DOIUrl":"https://doi.org/10.26634/jmat.11.2.19190","url":null,"abstract":"We introduce a notion of Kolmogorov complexity of unitary transformation, which can (roughly) be understood as the least possible amount of information required to fully describe and reconstruct a given finite unitary transformation. In the context of quantum computing, it corresponds to the least possible amount of data to define and describe a quantum circuit or quantum computer program. Our Kolmogorov complexity of unitary transformation is built upon Kolmogorov \"qubit complexity\" of Berthiaume, W. Van Dam and S. Laplante via mapping from unitary transformations to unnormalized density operators, which are subsequently \"purified\" into unnormalized vectors in Hilbert space. We discuss the optimality of our notion of Kolmogorov complexity in a broad sense.","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124499320","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
Performance analysis of convolutional neural networks for image classification with appropriate optimizers 卷积神经网络图像分类性能分析与适当的优化器
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.12.1.19398
Danish Sana, Ul Rahman Jamshaid, Haider Gulfam
{"title":"Performance analysis of convolutional neural networks for image classification with appropriate optimizers","authors":"Danish Sana, Ul Rahman Jamshaid, Haider Gulfam","doi":"10.26634/jmat.12.1.19398","DOIUrl":"https://doi.org/10.26634/jmat.12.1.19398","url":null,"abstract":"Optimizers in Convolutional Neural Networks play an important role in many advanced deep learning models. Studies on advanced optimizers and modifications of existing optimizers continue to hold significant importance in the study of machine tools and algorithms. There are a number of studies to defend and the selection of these optimizers illustrate some of the challenges on the effectiveness of these optimizers. Comprehensive analysis on the optimizers and alteration with famous activation function Rectified Linear Unit (ReLU) offered to protect effectiveness. Significance is determined based on the adjustment with the original Softmax and ReLU. Experiments were performed with Adam, Root Mean Squared Propagation (RMSprop), Adaptive Learning Rate Method (Adadelta), Adaptive Gradient Algorithm (Adagrad) and Stochastic Gradient Descent (SGD) to examine the performance of Convolutional Neural Networks for image classification using the Canadian Institute for Advanced Research dataset (CIFAR-10).","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"5 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":"128739940","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
Analytic rayleigh wave speed formula in non-linear orthotropic material 非线性正交各向异性材料中的解析瑞利波速公式
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.11.1.18469
A. Rehman, Maqsood-Ul-Hassan
{"title":"Analytic rayleigh wave speed formula in non-linear orthotropic material","authors":"A. Rehman, Maqsood-Ul-Hassan","doi":"10.26634/jmat.11.1.18469","DOIUrl":"https://doi.org/10.26634/jmat.11.1.18469","url":null,"abstract":"Analytic Rayleigh wave speed formula in nonlinear orthotropic medium is determined. Speed of Rayleigh waves in iodic acid, a specimen of non-linear orthotropic materials, is calculated and is compared with that of the speed in linear orthotropic iodic acid. In linear iodic acid, three distinct Rayleigh waves propagate with speeds 53.44 km/s, 80.94 km/s, and 125.37 km/s, respectively. While, in nonlinear iodic acid these three waves become coincident and only one Rayleigh wave seem to propagate with velocity 63.68 km/s.","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"70 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":"126385966","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
2-HH NORM AND BIRKHOFF-JAMES ORTHOGONALITY IN NORMED SPACES 赋范空间中的2-hh范数和birkhoff-james正交性
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.8.3.16746
Prasad Ojha Bhuwan, Muni Bajracharya Prakash
{"title":"2-HH NORM AND BIRKHOFF-JAMES ORTHOGONALITY IN\u0000 NORMED SPACES","authors":"Prasad Ojha Bhuwan, Muni Bajracharya Prakash","doi":"10.26634/jmat.8.3.16746","DOIUrl":"https://doi.org/10.26634/jmat.8.3.16746","url":null,"abstract":"","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"207 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":"125737175","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
Common fixed-point theorems via notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for six self-mappings in fuzzy metric spaces 由模糊度量空间中六个自映射的成对半相容映射和偶弱相容映射(OWC)的概念得到的公共不动点定理
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.12.1.19308
Singh T. Rakesh
{"title":"Common fixed-point theorems via notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for six self-mappings in fuzzy metric spaces","authors":"Singh T. Rakesh","doi":"10.26634/jmat.12.1.19308","DOIUrl":"https://doi.org/10.26634/jmat.12.1.19308","url":null,"abstract":"The notion of occasionally weakly compatible mappings, and Semi compatible mappings in fuzzy metric space is discussed in this research. The paper investigates the Common fixed-point theorems in fuzzy metric spaces. By taking the property of commutativity of pair mappings, the pairwise semi-compatible mappings and occasionally weakly compatible mappings, satisfying constructive type condition for six self-mappings the common fixed-point theorems in fuzzy metric spaces were proved. The result improves and generalizes other similar results in the literature.","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"77 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":"131093963","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
Mathematical Modelling of EOR Methods 提高采收率方法的数学建模
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.11.2.19034
Rao Kotini Tirumala, Singh Aman
{"title":"Mathematical Modelling of EOR Methods","authors":"Rao Kotini Tirumala, Singh Aman","doi":"10.26634/jmat.11.2.19034","DOIUrl":"https://doi.org/10.26634/jmat.11.2.19034","url":null,"abstract":"The choice of appropriate and affordable procedures to boost oil recovery is usually recognized as one of the main challenges in reservoir development due to the huge demand for crude oil. Reservoir flow simulators are valuable tools for understanding and forecasting fluid flow in complex systems. The goal of this study is to run a mathematical model to evaluate the performance of various oil recovery methods, as well as to validate the model's accuracy with simulated field data. Thereby, the results of this developed model indicate that the model is approximately matched with the simulated field data. Enhanced oil recovery typically refers to chemical, miscible, thermal, and microbial processes. A system of nonlinear partial differential equations composed of Darcy's and mass conservation equations governs the model. The system is then numerically solved using the IMPEC (Implicit Pressure and Explicit Concentration) scheme by a finite difference method. We chose this approach because the experimental approaches are not only time consuming, but also costly. As a result, mathematical models could aid in the understanding of a reservoir and how such processes can be optimized to maximize oil recovery while lowering production costs. This paper provides a brief overview of mathematical modelling of various enhanced oil recovery methods, focusing on developing a generalized framework and describing some of the key challenges and opportunities.","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"18 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":"133411859","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 STUDY TO PREDICT EID AL-FITR DAY IN OMAN USING MARKOV CHAIN TECHNIQUE 利用马尔科夫链技术预测阿曼开斋节的研究
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/JMAT.8.1.16233
Razeeuddin Mohammed, Kumar B. V. Senthil
{"title":"A STUDY TO PREDICT EID AL-FITR DAY IN OMAN USING MARKOV CHAIN TECHNIQUE","authors":"Razeeuddin Mohammed, Kumar B. V. Senthil","doi":"10.26634/JMAT.8.1.16233","DOIUrl":"https://doi.org/10.26634/JMAT.8.1.16233","url":null,"abstract":"","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"43 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":"124093913","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 TOPOLOGICAL PROPERTIES OF THE SPECTRUM OF PRIME D-FILTERS OF DISTRIBUTIVE LATTICES 分布格的素数d滤波器谱的一些拓扑性质
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.10.1.18165
A. Phaneendrakumar, M. Sambasivarao, K. Sobhanbabu
{"title":"SOME TOPOLOGICAL PROPERTIES OF THE SPECTRUM OF PRIME D-FILTERS OF DISTRIBUTIVE LATTICES","authors":"A. Phaneendrakumar, M. Sambasivarao, K. Sobhanbabu","doi":"10.26634/jmat.10.1.18165","DOIUrl":"https://doi.org/10.26634/jmat.10.1.18165","url":null,"abstract":"","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"21 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":"124804724","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
TANGENT HYPERBOLIC NANOFLUID BOUNDARY LAYERNONLINEAR FLOW IN DOUBLY STRATIFIED ACROSS ASTRETCHING PERMEABLE CYLINDER:A BUONGIORNO MODEL 切线双曲纳米流体边界层在双分层中非线性流动:一个buongiorno模型
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.10.2.18321
G. Dharmaiah, K. Balamurugan
{"title":"TANGENT HYPERBOLIC NANOFLUID BOUNDARY LAYER\u0000NONLINEAR FLOW IN DOUBLY STRATIFIED ACROSS A\u0000STRETCHING PERMEABLE CYLINDER:\u0000A BUONGIORNO MODEL","authors":"G. Dharmaiah, K. Balamurugan","doi":"10.26634/jmat.10.2.18321","DOIUrl":"https://doi.org/10.26634/jmat.10.2.18321","url":null,"abstract":"","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"27 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":"127523090","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
IN SERIES CONNECTED RCL-ELEMENTS LOADED ON LOSSY TRANSMISSION LINES WITHOUT THE HEAVISIDE'S CONDITION 在无重载条件下,负载在有损耗传输线上的串联rcl元件
i-manager’s Journal on Mathematics Pub Date : 1900-01-01 DOI: 10.26634/jmat.8.2.16649
G. Vasil, Sofia Bulgaria Geology “St. I. Rilski”
{"title":"IN SERIES CONNECTED RCL-ELEMENTS LOADED ON LOSSY\u0000 TRANSMISSION LINES WITHOUT THE HEAVISIDE'S CONDITION","authors":"G. Vasil, Sofia Bulgaria Geology “St. I. Rilski”","doi":"10.26634/jmat.8.2.16649","DOIUrl":"https://doi.org/10.26634/jmat.8.2.16649","url":null,"abstract":"","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"50 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":"127848964","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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