Скачать или смотреть This Function is Hiding a Very Special Property.

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This problem is taken from the British Mathematical Olympiad Round 2 from 2010/11. It is a functional equation but the problem contains elements of number theory and combinatorics.

BMO2 2010/11: https://bmos.ukmt.org.uk/home/bmo2-20...

I just thought I'd add that the video isn't about Lagrangian interpolation, but this function has some specific properties which are in the video and give rise to that property.

This is my first time animating a video so any feedback would be appreciated. (Sorry about the audio quality)

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Chapters:
0:00 Introduction and Problem
1:07 Hints
1:40 Solution
6:56 Final Thoughts