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Olympiad level counting (Generating functions)
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A lesson on generating functions, and clever uses of complex numbers for counting
An equally valuable form of support is to simply share the videos.
Artwork by Kurt Burns
Music by Vince Rubinetti
Nice writeup and video giving solutions to the exercises at the end, by Benjamin Hackl
102 Combinatorial problems, by Titu Andreescu and Zuming Feng
Generatingfunctionology by Herbert Wilf
Visualizing the Riemann zeta function
Fourier series
Timestamps
0:00 - Puzzle statement and motivation
4:31 - Simpler example
6:51 - The generating function
11:52 - Evaluation tricks
17:24 - Roots of unity
26:31 - Recap and final trick
30:13 - Takeaways
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
------------------
These animations are largely made using a custom python library, manim. See the FAQ comments here:
You can find code for specific videos and projects here:
Music by Vincent Rubinetti.
Download the music on Bandcamp:
Stream the music on Spotify:
------------------
Various social media stuffs:
An equally valuable form of support is to simply share the videos.
Artwork by Kurt Burns
Music by Vince Rubinetti
Nice writeup and video giving solutions to the exercises at the end, by Benjamin Hackl
102 Combinatorial problems, by Titu Andreescu and Zuming Feng
Generatingfunctionology by Herbert Wilf
Visualizing the Riemann zeta function
Fourier series
Timestamps
0:00 - Puzzle statement and motivation
4:31 - Simpler example
6:51 - The generating function
11:52 - Evaluation tricks
17:24 - Roots of unity
26:31 - Recap and final trick
30:13 - Takeaways
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
------------------
These animations are largely made using a custom python library, manim. See the FAQ comments here:
You can find code for specific videos and projects here:
Music by Vincent Rubinetti.
Download the music on Bandcamp:
Stream the music on Spotify:
------------------
Various social media stuffs:
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