What does BLAZINGLY FAST even mean??
Sheafification of G
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My university doesn't let me teach anymore, so the rest of the world is my victim now. Let g be the functor mapping source to *.o objects. If we sheafify g, we get a functor g++ that now satisfies gluing: a system of compatible objects can be uniquely linked! In case you can't pronounce "sheafification", I also go by (g+)+ or GSheaf, or Faisceautisation de G. Whichever is easier.
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Get an exclusive deal on a 2-year plan with NordVPN + 4 months free by going to https://nordvpn.com/sheafification (try it risk-free with NordVPN's 30-day money back guarantee)! __________ I'm sure we've all heard the term "blazingly fast" before, but what does that even mean? Let's try and find an answer to this question by further optimising our Fibonacci number calculation strategy! Source code: https://github.com/SheafificationOfG/Fibsonisheaf __________ Timestamps: 00:00 - Introduction 00:46 - The Fibonacci sequence never terminates 02:10 - Better multiplication 03:32 - FFT speedrun 04:51 - Roots of unity 06:40 - Multiplication through division 07:36 - Fast squaring in the frequency domain 08:38 - Implementation details 09:29 - Division through multiplication 11:57 - Why work modulo a prime? 15:02 - Did we win? 17:37 - The power of friendship 18:25 - The ugly truth __________ This video is sponsored by NordVPN
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