A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/aXRTczANuIs
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https://www.youtube.com/watch?v=81QNyDnYtg0
Video with the solution: https://youtu.be/as7Gkm7Y7h4
3b1b on a meta-puzzle: https://youtu.be/wTJI_WuZSwE
This comes from a collaboration I did with Stand-up Maths, where on his channel we covered the solution, and here on 3blue1brown we analyze a meta-puzzle.
Editing from long-form to short by Dawid Kołodziej
This comes from a collaboration I did with Stand-up Maths, where on his channel we covered the solution, and here on 3blue1brown we analyze a meta-puzzle.
Editing from long-form to short by Dawid Kołodziej
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https://www.youtube.com/watch?v=NQFIU5Exjuo
Supplement to the cryptocurrency video: How hard is it to find a 256-bit hash just by guessing and checking? What kind of computer would that take?
Cryptocurrency video: https://youtu.be/bBC-nXj3Ng4
Home page: https://www.3blue1brown.com/
Several people have commented about how 2^256 would be the maximum number of attempts, not the average. This depends on the thing being attempted. If it's guessing a private key, you are correct, but for something like guessing which input to a hash function gives the desired output (as in bitcoin mining, for example), which is the kind of thing I had in mind here, 2^256 would indeed be the average number of attempts needed, at least for a true cryptographic hash function. Think of rolling a die until you get a 6, how many rolls do you need to make, on average?
Music by Vince Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
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https://www.youtube.com/watch?v=S9JGmA5_unY
Space-filling curves, turning visual information into audio information, and the connection between infinite and finite math (this is a re-upload of an older video which had much worse audio).
Supplement with more space-filling curve fun: https://youtu.be/RU0wScIj36o
For more information on sight-via sound, this paper involving rewiring a ferret's retinas to its auditory cortex is particularly thought-provoking: http://phy.ucsf.edu/~houde/coleman/sur2.pdf
Alternatively, here is the NYT summary: https://goo.gl/qNuc14
Also, check out this excellent podcast on Human echolocation: https://goo.gl/23f4Yh
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https://www.youtube.com/watch?v=3s7h2MHQtxc
An explanation of a neat circle puzzle involving combinatorics, graphs, Euler's characteristic formula and pascal's triangle.
Music: Wyoming 307 by Time for Three
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https://www.youtube.com/watch?v=K8P8uFahAgc
Full video on Hamming Codes: https://youtu.be/X8jsijhllIA
Editing from long-form to short by Dawid Kołodziej
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https://www.youtube.com/watch?v=yZMw2rOKYwE
What is an integral? How do you think about it?
Check out the Art of Problem Solving: https://aops.com/3blue1brown
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc8-thanks
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https://www.youtube.com/watch?v=rfG8ce4nNh0
A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/d-o3eB9sfls
...
https://www.youtube.com/watch?v=p9i3cYMQtBY
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
Home page: https://www.3blue1brown.com
Plushie creatures now available: http://3b1b.co/store
The idea for this video, as well as the live shots, came from Ben Hambrecht, with the writing and animating done by Grant Sanderson.
Special thanks to:
- University Library Basel, for letting us rummage through their historical collection
- Martin Mattmüller from the Bernoulli-Euler center for helpful discussion
- Michael Hartl, author of the Tau Manifesto, for pointing us to obscure references
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https://www.youtube.com/watch?v=bcPTiiiYDs8