Uploaded August 2019 | Updated September 2026, 1 week ago
Identity with (n-1) choose w: youtu.be/-qxZYAiMRBU
Beta function integral: youtu.be/7VoOEkQYh00
Fematika's solution: youtu.be/Hz0BBYYSC5Q
A math competition problem from Hong Kong. We'll need every trick in the book to solve this one!
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Identity with (n-1) choose w: youtu.be/-qxZYAiMRBU
Beta function integral: youtu.be/7VoOEkQYh00
Fematika's solution: youtu.be/Hz0BBYYSC5Q
A math competition problem from Hong Kong. We'll need every trick in the book to solve this one!
New math videos every Monday and Friday. Subscribe to make sure you see them!
![Induction on Real Numbers
Video on supremum: https://youtu.be/o0TksrG5OsY
Paper on real induction: https://arxiv.org/pdf/1208.0973
Proof by induction is often taught as something that only works for integers, natural numbers, or whole numbers. However, theres an analogous concept to induction that applies to intervals on the real numbers, even though the real numbers are an uncountable set! This video explains and proves the result for the interval [0,1], which can be generalized to arbitrary closed intervals in the real numbers.
Topology playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJEGnUPxM1KUVOHkW4kN6QU_
0:00 The Theorem
4:36 Proof
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Music: C418 - Smooth Fall Induction on Real Numbers](https://i.ytimg.com/vi/bXTbGJxW_fE/mqdefault.jpg)









