{"title":"Hankel Type Convolution and Boundedness of Product of Pseudo Differential Type Operators","authors":"B. B. Waphare","doi":"10.9734/bpi/ctmcs/v11/11618d","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/11618d","url":null,"abstract":"Two symbols are defined in this study utilising the Hankel type transform, as well aspseudo-differential type operators M(x,D) and N(x,D) associated with the Bessel type operator (Delta)(alpha),(beta) defined by equation (2.1) in terms of these symbols.. Further product of M(x,D) and N(x,D) is defined. Sobolev type space is also defined. It is demonstrated that the pseudo-differential type operators M(x,D) , N(x,D) and the product of pseudo-differential type operators are bounded in a certain Sobolev type space associated with the Hankel type transform. Finally, certain unique cases are investigated.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114608803","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":"Study on Statistical Inference in Contraception","authors":"J. Mínguez","doi":"10.9734/bpi/ctmcs/v11/4636f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/4636f","url":null,"abstract":"","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123992390","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":"Development of Bayesian Single Sampling Plan Involving Risk Minimization through Minimum Angle Method","authors":"V. Kaviyarasu, P. Sivakumar","doi":"10.9734/bpi/ctmcs/v11/4458f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/4458f","url":null,"abstract":"This chapter presented a procedure and tables for a Bayesian single sampling plan based on the Gamma-Zero Inflated Poisson distribution involving minimum angle method to reduce the producer's risk and consumer’s risk for specified acceptance quality level and limiting quality level. In recent years, every manufacturing industry using technological advancements to detect product defects and rectifying them in the initial stages of production. It is possible to reduce the number of defective products early on using such technologies. Therefore, the occurrence of non-defects would be more frequent in the sampling inspection. However, random fluctuations in the production processes may lead some products to an imperfect state. In this case, one can consider the appropriate probability distribution of the number of defects to be a Gamma-Zero Inflated Poisson (G-ZIP) distribution. The optimal plan parameters for the proposed sampling plan are given to determine its minimum angle values, which are illustrated with suitable examples. Necessary tables are constructed to facilitate quality control engineers.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123610277","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":"Study on Optimization of three Way Merging Algorithm for Mobile Users","authors":"K. Yadav, R. Yadav, Anoop Sharma","doi":"10.9734/bpi/ctmcs/v11/10284d","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/10284d","url":null,"abstract":"Mobile Computing is a new paradigm aimed at providing users with constant network connectivity regardless of their location. Computer networking removed the physical barrier between computers, allowing users connected to the system from one computer to access resources on another. This paved the path for distributed computing, in which a group of connected computers works together to achieve a common goal. However, the access points to such a distributed system were still tethered machines and a user did not have the flexibility to move while accessing such a system. Mobile computing expands distributed computing in the direction of making a system's services available to a user regardless of their location or, more significantly, their location changes. Wireless networking removed the requirement to be linked to a cable, static infrastructure in order to benefit from distributed system services. A cable infrastructure of static hosts (representing a conventional distributed system) connects areas of wireless coverage ('cells') to mobile computers in a distributed system with mobile hosts.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122832696","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 Klein Four-Group: A Brief Mathematical Approach","authors":"V. Thürey","doi":"10.9734/bpi/ctmcs/v11/4179f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/4179f","url":null,"abstract":"","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132646118","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":"Fixed Points Theorem of a Countable Family of I-Nonexpansive Multivalued Mappings of Modified Iteration in Banach Spaces","authors":"P. Prabhakar","doi":"10.9734/bpi/ctmcs/v11/11970d","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/11970d","url":null,"abstract":"In this chapter,I introduce a modified Ishikawa iteration for a countable family of multi-valued Mappings under the SC- Conditions and Condition (A). The best approximation operator to obtain weak and strong convergence of the modified Ishikawa iteration in a Banach spaces. Main results to the problem of finding a common fixed point of a countable family of I-Nonexpansive multi-valued mappings.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116576347","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":"Investigating the Factors Influencing the Sustainability of Social Enterprises in Korea","authors":"Young-Chool Choi, Ji-Hyun Jang","doi":"10.9734/bpi/ctmcs/v11/4108f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/4108f","url":null,"abstract":"","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132564818","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}
P. Jenopaul, Ranjeesh R Chandran, H. Shihabudeen, P. Anitha, Anna Baby
{"title":"Two State of Art Image Segmentation Approaches","authors":"P. Jenopaul, Ranjeesh R Chandran, H. Shihabudeen, P. Anitha, Anna Baby","doi":"10.9734/bpi/ctmcs/v11/1866c","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/1866c","url":null,"abstract":"The primary goal of this study is to determine object boundaries in outdoor scenes of photographs using only some general attributes of real-world objects. Segmentation and recognition should not be separated in this case and should be treated as an interleaving procedure. The goal of this project is to develop an adaptive global clustering technique that can capture non-accidental structural links among the constituent parts of structured objects, which typically have several constituent parts. The colour and texture information is also used to distinguish background items such as the sky, tree, and ground. This method categories them according to their properties without requiring any prior knowledge of the items. On two demanding outdoor databases and in distinct outside natural scene contexts, the suggested method outperformed two state-of-the-art image segmentation approaches, improving segmentation quality. It is possible to overcome significant reflection and excessive segmentation by employing this clustering strategy. This work proposes to increase performance and background identification capacity.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"143 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114091976","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}
D. Mohanan, Sreekumar Ananda Rao, Jathavedan Madambi, Ramkumar Padinjarepizharath Balakrishna
{"title":"Determination of Text Summary Using Morphological Filtering of Intuitionistic Fuzzy Hypergraph","authors":"D. Mohanan, Sreekumar Ananda Rao, Jathavedan Madambi, Ramkumar Padinjarepizharath Balakrishna","doi":"10.9734/bpi/ctmcs/v11/4409f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v11/4409f","url":null,"abstract":"Text Summarization has been an area of interest for many years. It refers to creating a concise text of a document without any lose of information. Researchers in the area of natural language processing have developed many abstractive and extractive methods for creating summary. Abstractive summaries modifies the sentences and creates a modified concise form, while extractive summaries pick relevant sentences. The extractive method used in this work is a novel one which models the document as an Intuitionistic Fuzzy Hypergraph (IFHG). The main objectives of the work are to convert a document in to an IFHG, apply morphological operations to it and to create a summary filter. This is the premier work which applies morphological operations on IFHG that is modeled on a text. The method has generated summary which is almost similar to a human generated summary and showed more accuracy when compared with other machine generated summaries. An attempt to apply skelton operation on text hypergraph is also made.","PeriodicalId":311523,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 11","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122610793","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}