American journal of applied mathematics and statistics最新文献

{"title":"Integral Representations of a Function in the S. L. Sobolev Space and Their Application to Boundary Problems","authors":"Ilgar Gurbat Mamedov, Aynura Jabbar Abdullayeva","doi":"10.11648/j.ajam.20231104.11","DOIUrl":"https://doi.org/10.11648/j.ajam.20231104.11","url":null,"abstract":"First, we prove a theorem on the integral representation of functions of three variables at the middle of a domain in S. L. Sobolev space with a dominant mixed derivative on a three-dimensional parallelepiped. Further, an integral representation of periodic functions of three variables is given at the middle of the domain in the space of S. L. Sobolev with a dominant mixed derivative. A theorem is also given on the integral representation of homogeneous functions of three variables at the middle of a domain in S. L. Sobolev with a dominant mixed derivative. In addition, a theorem is given on the integral representation of odd functions of three variables at the middle of a domain in S. L. Sobolev with a dominant mixed derivative. Next, we present a theorem on the integral representation of even functions of three variables at the middle of a domain in S. L. Sobolev with a dominant mixed derivative. The above theorems are directly applicable to the qualitative theory of differential equations. In this article, in the most general form, an integral representation of functions of several variables at the middle of a domain in S. L. Sobolev with a dominant mixed derivative on a multidimensional parallelepiped. In this article, such an integral representation of functions in Sobolev space is used to study a boundary value problem in the middle of a domain for the Bianchi integro-differential equation, which is a class of dominating mixed differential equations. For the Bianchi integro-differential equation, the boundary value problem in the middle of the domain in the classical form is reduced to a nonclassical boundary value problem. In this setting, no additional conditions such as matching are required. Then the non-classical boundary value problem posed in the middle of the region is reduced to an operator equation. With the method of integral representations of functions for the boundary value problem, an equivalent integral equation is constructed. Using this integral equation, we prove the homeomorphism theorem. By definition, this theorem is demonstrated by the correct solvability of the considered boundary value problem in the middle of the domain.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136363982","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}

{"title":"Artificial Intelligence Algorithms for Healthcare Services","authors":"Dalia K. A. A. Rizk, Hoda M. Hosny, Michael Gr. Voskoglou, El-Sayed M. El-Horbaty, Abdel-Badeeh M. Salem","doi":"10.12691/ajams-11-2-5","DOIUrl":"https://doi.org/10.12691/ajams-11-2-5","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83090318","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}

{"title":"Horizontal Divide and Conquer Methods for Non-Linear Time Series Forecasting Using LSTM-ANN; a Comparative Study Based on Simulated Data","authors":"Navoda Hettige, W. Basnayake","doi":"10.12691/ajams-11-2-4","DOIUrl":"https://doi.org/10.12691/ajams-11-2-4","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76694845","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}

{"title":"The Function Number Method: Basis and Applications","authors":"Marcel Julmard Ongoumaka Yandza","doi":"10.12691/ajams-11-2-2","DOIUrl":"https://doi.org/10.12691/ajams-11-2-2","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73876239","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}

{"title":"Performance Evaluation and Comparison of Heart Disease Prediction Using Machine Learning Methods with Elastic Net Feature Selection","authors":"","doi":"10.12691/ajams-11-2-1","DOIUrl":"https://doi.org/10.12691/ajams-11-2-1","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76986424","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}

{"title":"Assessing the Effectiveness of Flipped Learning for Teaching Mathematics to Management Students","authors":"Michael Gr. Voskoglou","doi":"10.12691/ajams-11-1-5","DOIUrl":"https://doi.org/10.12691/ajams-11-1-5","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77093926","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}

{"title":"Log Normal Distribution Approach for Forecasting the Spread of Covid-19 in Nigeria","authors":"Fawei Tonbra Erepamo Lawrence, Orumie Ukamaka Cynthia, Biu Emmanuel Oyinebifun","doi":"10.12691/ajams-11-1-3","DOIUrl":"https://doi.org/10.12691/ajams-11-1-3","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78141940","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}

{"title":"Identifying Patient Benefits of a Novel Tool in Routine Prenatal Care: An Exploratory Factor Analysis Approach","authors":"R. Anne, Fitzpatrick Veronica, Shields Maureen, Erwin Kim","doi":"10.12691/ajams-11-1-4","DOIUrl":"https://doi.org/10.12691/ajams-11-1-4","url":null,"abstract":"To address the need for cost-of-care conversations in prenatal care, the CONTINUE (cost conversations in routine prenatal care) study was conducted with prenatal patients to better understand the benefits of implementing a cost-of-care conversation “cost” tool into routine obstetrics (OB) care. This research team conducted a multi-phase, mixed-methods research study to identify 18 target benefits of a cost tool to initiate and standardize cost-of-care conversation and, subsequently, developed and validated a cost tool. The novel cost tool was piloted and data pertaining to target benefits were collected through interviews and surveys. To assess the cost tool’s utility, data from interviews and surveys were unified and exploratory factor analysis was performed to classify the underlying factor structure of the 18 benefit item responses. Data includes patients’ self-reported ratings of benefit items, as collected from third trimester prenatal patient participants who received the tool at the beginning of their prenatal care in three midwestern-based hospital clinics within one healthcare system. The present study details the factor analysis approach used to identify the three final factors that emerged from the data representing prenatal patients benefits of utilizing a cost tool. This analysis provides a framework for exploring patient-specific predictors of experiencing identified benefits (i.e. factors) of a novel cost tool incorporated into routine OB care.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"107 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88757120","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}

{"title":"A Unique Common Fixed Point Theorem for a Metric Space with the Property (E.A)","authors":"K. Prudhvi","doi":"10.12691/ajams-11-1-2","DOIUrl":"https://doi.org/10.12691/ajams-11-1-2","url":null,"abstract":"","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"68 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88380755","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}

{"title":"Finite-Time State Estimation of Switched Neural Networks with Both Time-Varying Delays and Leakage Delay","authors":"Fangjing Zheng, Zhifeng Lu","doi":"10.11648/j.ajam.20231101.12","DOIUrl":"https://doi.org/10.11648/j.ajam.20231101.12","url":null,"abstract":": In this thesis","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"116 2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82794264","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}