Bernard d'Ascoli Videos
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2024-06-26
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Support the channel on Steady: (http•••) Or support me via PayPal: (http•••) Functional analysis series: (http•••) PDF versions: (http•••) Official *Great Supporters* in this month: - Petar Djurkovic - John Chen Official supporters in this month: - John Stroughair - Alex Williams - John Tambroni - Muntasir Raihan Rahman - Frank Huettner - Yannis Newell - Kostia Maksymenko - Oleksandr Shchur - Mayra Sharif - Eviatar Zweigenberg - Sunayan Acharya - Julio Cesar Campos Neto - Andres Fuentes - Joel Miller - Dov Bulka - Fabio Saba - Haitong Xu - Daniel Janzon - Cameron Boroumand - Dylan Hirsch - Lukas Mührke - Petar Petrov - Marie Punsmann - Astrid Burckhardt - Tianyi Zhang - Igor Kuvychko - Patrik Jansson - Lloyd Gavin - Noe Bozinis - Kangyeol Kim - ROBERT ROSENBLUM - Niklas Dieckow - joseph lob - sarah kim - Karl Igor Guerra - myrick crampton - Benjamin Bellick - Nathan Crock - Chal Tomlinson - Andrey Kamchatnikov This video is about compactness, Equicontinuity and the Arzelà–Ascoli theorem. 00:00 Introduction 00:32 Examples 04:05 Continuous functions 06:07 Equicontinuity 07:43 Examples (Equicontinuity) 11:25 Arzelà–Ascoli theorem 12:59 Credits I hope that this helps students, pupils and others. Have fun! #FunctionalAnalysis (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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