Скачать с ютуб A pretty reason why Gaussian + Gaussian = Gaussian в хорошем качестве

A pretty reason why Gaussian + Gaussian = Gaussian

A visual trick to compute the sum of two normally distributed variables. 3b1b mailing list: https://3blue1brown.substack.com/ Help fund future projects:   / 3blue1brown   Special thanks to these supporters: https://www.3blue1brown.com/lessons/g... For the technically curious who want to go deeper, here's a proof of the central limit theorem using Moment generating functions: https://www.cs.toronto.edu/~yuvalf/CL... And here's a nice discussion of methods using entropy: https://mathoverflow.net/questions/18... Relevant previous videos Central limit theorem    • But what is the Central Limit Theorem?   Why π is there, and the Herschel-Maxwell derivation    • Why π is in the normal distribution (...   Convolutions and adding random variables    • Convolutions | Why X+Y in probability...   Time stamps 0:00 - Recap on where we are 2:10 - What direct calculation would look like 3:38 - The visual trick 8:27 - How this fits into the Central Limit Theorem 12:30 - Mailing list Thanks to these viewers for their contributions to translations German: lprecord, qoheniac Spanish: Pablo Asenjo Navas-Parejo Vietnamese: Duy Tran ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/a... Stream the music on Spotify: https://open.spotify.com/album/1dVyjw... ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter:   / 3blue1brown   Reddit:   / 3blue1brown   Instagram:   / 3blue1brown   Patreon:   / 3blue1brown   Facebook:   / 3blue1brown