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The Hilbert Projection Theorem - Full Proof! (Theory behind Machine Learning)

ThatMathThing 5,331 1 year ago
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In this video we embark on the study of spaces of (potentially) infinite dimension, Hilbert spaces. Here we give the full proof the Hilbert Projection theorem, which is the most critical piece of their study. //Watch Next The Real Analysis Survival Guide https://youtu.be/v5rD0B-zfXw The Analyticity of the Laplace transform https://youtu.be/FIMkbFQL6XM Introduction to Control Theory https://youtu.be/0v4WFmOm764 //Music Provided by Epidemic Sound Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel: https://www.epidemicsound.com/referral/644nao //Recording Equipment Canon SL3: https://amzn.to/3nZ11KU Canon T6i: https://amzn.to/3FUpkQh Rode VideoMic: https://amzn.to/3lhldGa Blue Yeti Microphone: https://amzn.to/3I1y88N Yeti Nano Microphone: https://amzn.to/3I1mriA SanDisc 256GB SD Card: https://amzn.to/3E3LOOr Neewer 5600K USB LED Lights: https://amzn.to/3xvB9cN Neewer 18 inch Ring Light: https://amzn.to/2ZvgCsc Camera Power Adapter: https://amzn.to/3D3upUu This content is partially supported by National Science Foundation - Award ID 2027976, Air Force Office Of Scientific Research - Award FA9550-20-1-0127 and FA9550-21-1-0134. I am responsible for all opinions and content, and what I say does not necessarily reflect the sponsoring organizations. DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!

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