{"title":"Vector Algebra on R2 and R3","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010007","DOIUrl":"https://doi.org/10.2174/9789814998789121010007","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124076534","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":"Dedication","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010004","DOIUrl":"https://doi.org/10.2174/9789814998789121010004","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127707212","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":"Fundamental Theorem of Calculus","authors":"A. Frölicher, W. Bucher","doi":"10.1007/BFb0068437","DOIUrl":"https://doi.org/10.1007/BFb0068437","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133609432","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":"Geometric Algebra on Gn","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010010","DOIUrl":"https://doi.org/10.2174/9789814998789121010010","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123584037","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":"Integration","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010012","DOIUrl":"https://doi.org/10.2174/9789814998789121010012","url":null,"abstract":"—The automated assurance of vertical service level agreements (SLA) is a challenge in 5G networks. The EU 5Growth project designs and develops a 5G End-to-End service platform that integrates Artificial Intelligence (AI) and Machine Learning (ML) techniques for any decision-making process in the management and orchestration (MANO) stack. This paper presents the detailed architecture and first prototype of the 5Growth platform taking AI/ML-based network service auto-scaling decisions. This also includes the modification of the ETSI network service descriptors for requesting AI/ML-based decisions for orchestration problems and the integration of a data engineer- ing pipeline for real-time data gathering and model execution. Our evaluation shows that AI/ML-related service handling oper- ations (1-2 s.) are well below instantiation/termination procedures (80/60 s., respectively). Furthermore, online classification can be performed in the order of hundreds of milliseconds (600 ms).","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"307 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123067710","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":"Geometric Algebra on G2","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010008","DOIUrl":"https://doi.org/10.2174/9789814998789121010008","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122464942","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":"Geometric Algebra on G3","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010009","DOIUrl":"https://doi.org/10.2174/9789814998789121010009","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131248539","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":"Applications","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010014","DOIUrl":"https://doi.org/10.2174/9789814998789121010014","url":null,"abstract":". We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations:","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133047543","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":"List of Symbols","authors":"Carlos Polanco","doi":"10.2174/9789814998789121010006","DOIUrl":"https://doi.org/10.2174/9789814998789121010006","url":null,"abstract":"","PeriodicalId":428151,"journal":{"name":"Exterior Calculus: Theory and Cases","volume":"17 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134125773","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}
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