Скачать с ютуб Solutions to 3b1b's generating function exercises: from rolling dice to differential equations в хорошем качестве

Solutions to 3b1b's generating function exercises: from rolling dice to differential equations

In his recent video on an "innocent" enumeration problem, ‪@3blue1brown‬ offered four problems on generating functions. In this video, we discuss these problems, add a bit of context here and there, and go over detailed solution suggestions. Enjoy! #math #combinatorics #generatingfunctions #visuallyexplained #discretemathematics #manim #solution #solutions #counting #dice #fibonacci --- Links to resources My blog with the written counterpart: https://benjamin-hackl.at/blog/2022/0... 3b1b's video:    • Olympiad level counting  (Generating ...   Wilf - Generatingfunctionology: https://books.google.com/books?id=XOP... Graham, Knuth, Patashnik - Concrete Mathematics: https://books.google.com/books?id=pnt... Flajolet, Sedgewick - Analytic Combinatorics (free ebook!): http://algo.inria.fr/flajolet/Publica... Manim: https://manim.community Animation source code: https://github.com/behackl/manim-cont... More about me Homepage: https://benjamin-hackl.at Twitch:   / behackl   Twitter:   / behackl   Discord: https://benjamin-hackl.at/discord Attributions Audio mix & master: Jesús Rascón (@jesi_rgb) Music Album: polaris, by stream_error | Provided by Lofi Records | https://lofigirl.com/blogs/releases/p... Album: Imperfect, by Kinissue | Provided by Lofi Records | https://lofigirl.com/blogs/releases/i... Contents 0:00 Introduction 1:30 The Generating Functions and the Die 8:25 A Binomial Sum 11:20 Fibonacci and a Differential Equation 20:52 A useful Product 24:04 Outro