3Blue1Brown | All possible pythagorean triples, visualized @3blue1brown | Uploaded 7 years ago | Updated 18 minutes ago
To understand all pythagorean triples like (3, 4, 5), (5, 12, 13), etc. look to complex numbers.
This video was sponsored by Remix: remix.com/jobs
Help fund future projects: patreon.com/3blue1brown
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Special thanks to these supporters: http://3b1b.co/triples-thanks
Home page: 3blue1brown.com
Regarding the brief reference to Fermat's Last Theorem, what should be emphasized is that it refers to *positive* integers. You can of course have things like 0^3 + 2^3 = 2^3, or (-3)^3 + 3^3 = 0^3.
Music by Vincent Rubinetti: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
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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 about new videos, subscribe, and click the bell to receive notifications (if you're into that).
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To understand all pythagorean triples like (3, 4, 5), (5, 12, 13), etc. look to complex numbers.
This video was sponsored by Remix: remix.com/jobs
Help fund future projects: patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/triples-thanks
Home page: 3blue1brown.com
Regarding the brief reference to Fermat's Last Theorem, what should be emphasized is that it refers to *positive* integers. You can of course have things like 0^3 + 2^3 = 2^3, or (-3)^3 + 3^3 = 0^3.
Music by Vincent Rubinetti: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
------------------
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 about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: 3blue1brown.com
Twitter: twitter.com/3Blue1Brown
Patreon: patreon.com/3blue1brown
Facebook: facebook.com/3blue1brown
Reddit: reddit.com/r/3Blue1Brown
![Tips to be a better problem solver [Last live lecture] | Ep. 10 Lockdown live math](https://i.ytimg.com/vi/QvuQH4_05LI/hqdefault.jpg "Tips to be a better problem solver [Last live lecture] | Ep. 10 Lockdown live math
Tips on problem-solving, with examples from geometry, trig, and probability.
Past episodes with integrated quizzes: https://itempool.com/c/3b1b
Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev
Home page: https://www.3blue1brown.com
Brought to you by you: https://3b1b.co/ldm-thanks
Huge huge thanks to Ben Eater: https://www.youtube.com/user/eaterbc
And Cam Christensen, creator of ItemPool: https://itempool.com/
Notes by Ngân Vũ:
https://twitter.com/ThuyNganVu/status/1265480770832855040
Mistakes:
50:35, there should be a dx in the integral
54:40, if you notice the mistake here and are inclined to complain, keep watching
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Video timeline (thanks to user noonesperfect)
0:34 9-Problem Solving Principles/Tip
1:15 Question 1 (Probability)
2:08 Who is Ben Eater?
4:25 Inscribed angle theorem, θL=2*θs
5:58 Tip-1
7:48 Tip-2
8:16 Question 2
9:34 Answer 2
10:29 Tip-3
15:17 Tip-4
22:48 Question 3
25:56 Answer 3 (Marked incorrectly, Answer: Option D)
26:31 Answer 1
27:28 Explanation for Q1, Floor function
30:38 Tip-5
32:53 Tip-6
33:36 Question 4
34:43 Answer 4
36:37 Question 5
38:10 Answer 5
41:48 Probability graph in Desmos
44:08 Revisiting an alternating series sum for ln(2)
47:29 Tip-7
51:08 Tip-8
55:23 Audience questions through tweets
57:28 Tip-9
58:29 Python programming for various probability question
1:04:31 Arts created using Desmos graph tool with mathematical expressions
1:05:54 Thank you, appreciation to the team and all.
The live question setup with stats on-screen is powered by Itempool.
https://itempool.com/
Curious about other animations?
https://www.3blue1brown.com/faq#manim
Music by Vincent Rubinetti.
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
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then add subtitles/cc. I really appreciate those who do this, as it helps make the lessons accessible to more people.
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
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