Approximating Measurable Functions| Simple Functions | Measure Theory
We study simple functions and see how we can use them to approximate measurable functions. ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 💸 Support us on Patreon, get great perks and items! / problemathic 👕 Buy great math t-shirts! https://problemathic.creator-spring.com 💥 Over 40k followers on Instagram, join us! / problemathicvideos 💬 Join our Discord server!! / discord 🖇️ https://linktr.ee/Problemathic Timestamps in this video: 00:00 Introduction. 00:38 The characteristic function. 01:23 Simple functions. 03:10 Theorem: Approximating measurable functions. 05:09 Sketch of the proof. #maths #measuretheory #analysis
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