Hacker News Comments on "How (and why) to raise e to the power of a matrix | DE6" 3Blue1Brown Youtube Video

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Hacker News Comments on
How (and why) to raise e to the power of a matrix | DE6

3Blue1Brown · Youtube · 54 HN points · 0 HN comments

HN Theater has aggregated all Hacker News stories and comments that mention 3Blue1Brown's video "How (and why) to raise e to the power of a matrix | DE6".

Youtube Summary

General exponentials, love, Schrödinger, and more.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: https://3b1b.co/mat-exp-thanks

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The Romeo-Juliet example is based on this essay by Steven Strogatz:
http://www.stevenstrogatz.com/essays/loves-me-loves-me-not-do-the-math

The book shown at the start is Vladimir Arnold's (excellent) textbook on ordinary differential equations.
https://amzn.to/3dtXSwj

Need a review of ordinary powers of e?
https://youtu.be/m2MIpDrF7Es

Or of linear algebra?
https://youtu.be/kYB8IZa5AuE

Timetable
0:00 - Definition
6:40 - Dynamics of love
13:17 - Linear systems
20:03 - General rotations
22:11 - Visualizing with flow

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Code for this video:
https://github.com/3b1b/videos/blob/master/_2021/matrix_exp.py

These animations made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/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/album/the-music-of-3blue1brown

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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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: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown

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Hacker News Stories and Comments

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3Blue1Brown – How (and why) to raise e to the power of a matrix

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Apr 13, 2021 · 54 points, 4 comments · submitted by peter_d_sherman

⬐ Sporktacular
I'm so impressed by the consistent quality of 3b1b, the imagination that goes into presenting simply what are ideas that I previously thought complex.
Previous generations have grown up used to 2D, and maybe some 3D graphs, but visualisation tech didn't change much for the average school kid until relatively recently. Can't wait to see what they create.

⬐ tanseydavid
I agree completely.
I stumbled on 3b1b a couple of years ago when I was trying to really understand the Fourier transform in a deep way.
His explanation of Fourier and especially the visualizations really helped me to finally 'get it.'
He has a real knack for conveying complex information and I am looking forward to watching more of the his other channel focused on the Julia language -- much of the 3b1b content is outside of my professional (and perhaps even cognitive arena).

⬐ igitur
Do you have a link to the other channel? Thanks

⬐ claudionaoto
I think it is the Computational thinking course (MIT 18.S191 Fall 2020) https://www.youtube.com/playlist?list=PLP8iPy9hna6Q2Kr16aWPO...
He is one of the professors (Grant Sanderson).

Hacker News Comments on How (and why) to raise e to the power of a matrix | DE6

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Hacker News Comments on
How (and why) to raise e to the power of a matrix | DE6