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Apple's $599 laptop is surprising 1 min How the index of refraction arises, and why it depends on color (as seen with a prism) Quotebook Notebooks: https://3b1b.co/store These lessons are primarily funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. This video is largely based on the following Feynmann lecture https://www.feynmanlectures.caltech.edu/I_31.html Looking Glass Universe videos on the index of refraction: https://youtu.be/uo3ds0FVpXs The explanation for why the phase of a wave produced by a plane of oscillating charges is a quarter phase behind the wave of a charge in the center of that plane, and hence a quarter phase behind that of a light wave inducing the oscillations, is given in the previous chapter: https://www.feynmanlectures.caltech.edu/I_30.html Sections: 0:00 - The standard explanation 3:14 - The plan 5:09 - Phase kicks 8:25 - What causes light? 13:20 - Adding waves 16:40 - Modeling the charge oscillation 20:59 - The driven harmonic oscillator 26:57 - End notes Thanks to these viewers for their contributions to translations German: Ole Hebrew: Alon Altman, Omer Tuchfeld Hindi: Saurabh Portuguese: @doryhelioaires Urdu: Momini0 ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com
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