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But how does bitcoin actually work? Teacherflix 20 Views • 2 years ago

The math behind cryptocurrencies.
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: http://3b1b.co/btc-thanks
This video was also funded with help from Protocol Labs: https://protocol.ai/join/

Some people have asked if this channel accepts contributions in cryptocurrency form. As a matter of fact, it does:
http://3b1b.co/crypto
ENS: 3b1b.eth

2^256 video: https://youtu.be/S9JGmA5_unY

Music by Vincent Rubinetti: https://soundcloud.com/vincerubinetti/heartbeat

Here are a few other resources I'd recommend:

Original Bitcoin paper: https://bitcoin.org/bitcoin.pdf

Block explorer: https://blockexplorer.com/

Blog post by Michael Nielsen: https://goo.gl/BW1RV3
(This is particularly good for understanding the details of what transactions look like, which is something this video did not cover)

Video by CuriousInventor: https://youtu.be/Lx9zgZCMqXE

Video by Anders Brownworth: https://youtu.be/_160oMzblY8

Ethereum white paper: https://goo.gl/XXZddT

Timestamps:

0:00 - Introduction
2:25 - Ledgers and digital signatures
7:21 - The ledger is the currency
10:06 - Decentralization
12:26 - Cryptographic hash functions
14:38 - Proof of work and blockchains
19:42 - Double spending
21:41 - Block times, halvenings, and transaction fees
24:40 - Thanks

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Animations are largely made using manim, a scrappy open-source python library. https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcam....p.com/album/the-musi

Stream the music on Spotify:
https://open.spotify.com/album..../1dVyjwS8FBqXhRunaG5

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.
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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, 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: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

Multiply by 12 | Learn Multiplication | Multiply By Music | Jack Hartmann Teacherflix 10 Views • 2 years ago

This multiplication song for 12 gives the multiplication facts for the 12 times table. This Multiply by 12 song has cool original music that is very contemporary and age appropriate for 2nd through 5th graders. Also, this song goes through each table 1 through 12 three times to give your children a chance for lots of practice. This Multiply by 12 song also has a gradual learning structure.

First time: I sing the multiplication table I give the answer.

Second time: I say the table I delay the answer, so children have a chance to answer before me.

Third time: I completely omit the answer so children can answer on their own.

We take pride in saying that this is one of the best multiplication facts songs around.
This song on learning how to Multiply by 12 is a wonderful way for your children to learn and practice the multiplication tables.

One dozen roses, two dozen eggs
You've got to know how many that makes
To know quick how many inside
It's number 12 you multiply

12 x 1 is 12
12 x 2 is 24
12 x 3 is 36
12 x 4 is 48
12 x 5 is 60
12 x 6 is 72
12 x 7 is 84
12 x 8 is 96
12 x 9 is 108
12 x 10 is 120
12 x 11 is 132
12 x 12 is 144

One dozen roses, two dozen eggs
You've got to know how many that makes
To know quick how many inside
It's number 12 you multiply

Now try answering faster than me

12 x 1 is 12
12 x 2 is 24
12 x 3 is 36
12 x 4 is 48
12 x 5 is 60
12 x 6 is 72
12 x 7 is 84
12 x 8 is 96
12 x 9 is 108
12 x 10 is 120
12 x 11 is 132
12 x 12 is 144

Come on you can do it on your own

12 x 1 is ___
12 x 2 is ___
12 x 3 is ___
12 x 4 is ___
12 x 5 is ___
12 x 6 is ___
12 x 7 is ___
12 x 8 is ___
12 x 9 is ___
12 x 10 is ___
12 x 11 is ___
12 x 12 is ___

One dozen roses, two dozen eggs
You've got to know how many that makes
To know quick how many inside
It's number 12 you multiply

Jack Hartmann's website: http://www.jackhartmann.com
Remember to connect with Jack Hartmann on his Social Networks:
Facebook: https://www.facebook.com/hop2itmusic
Pinterest: https://www.pinterest.com/jackhartmann/
YouTube: https://www.youtube.com/user/JackHartmann
Twitter: https://twitter.com/Jack_Hartmann
Google +: https://plus.google.com/u/0/11....1246828015196865180/
You can find Jack Hartmann's Music on:
Jack Hartmann Website: http://www.jackhartmann.com
iTunes: https://itunes.apple.com/us/ar....tist/jack-hartmann/i
Amazon Mp3: http://www.amazon.com/s/ref=ntt_srch_drd_B00423GXF2?ie=UTF8&field-keywords=Jack%20Hartmann&index=digital-music&search-type=ss
Google Play: https://play.google.com/store/music/artist/Jack_Hartmann?id=Ax3xg7dhdt5nx4b47dnwxjnhhhy&hl=en
CD Baby: http://www.cdbaby.com/Artist/JackHartmann

The Surprising Secret of Synchronization Teacherflix 5 Views • 7 months ago

How does order spontaneously arise out of chaos? This video is sponsored by Kiwico — go to https://www.kiwico.com/Veritasium50 for 50% off your first month of any crate.

An enormous thanks to Prof. Steven Strogatz — this video would not have been possible without him. Much of the script-writing was inspired and informed by his wonderful book Sync, and his 2004 TED talk. He is a giant in this field, and has literally written the book on chaos, complexity, and synchronization. It was hard to find a paper in this field that Steven (or one of his students) didn't contribute to. His Podcast "The Joy of X" is wonderful — please listen and subscribe wherever you get your podcasts https://www.quantamagazine.org/tag/the-joy-of-x

Nicky Case's Amazing Firefly Interactive — https://ncase.me/fireflies

Great Kuramoto Model Interactive — https://www.complexity-explora....bles.org/explorables

References:

Strogatz, S. H. (2012). Sync: How order emerges from chaos in the universe, nature, and daily life. Hachette UK. — https://ve42.co/Sync

Strogatz, S. H. (2000). From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D: Nonlinear Phenomena, 143(1-4), 1-20. — https://ve42.co/Strogatz2000

Goldsztein, G. H., Nadeau, A. N., & Strogatz, S. H. (2021). Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(2), 023109. — https://ve42.co/Goldsztein

The Broughton Suspension Bridge and the Resonance Disaster — https://ve42.co/Broughton

Bennett, M., Schatz, M. F., Rockwood, H., & Wiesenfeld, K. (2002). Huygens's clocks. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 458(2019), 563-579. — https://ve42.co/Bennett2002

Pantaleone, J. (2002). Synchronization of metronomes. American Journal of Physics, 70(10), 992-1000. — https://ve42.co/Pantaleone2002

Kuramoto, Y. (1975). Self-entrainment of a population of coupled non-linear oscillators. In International symposium on mathematical problems in theoretical physics (pp. 420-422). Springer, Berlin, Heidelberg. -- https://ve42.co/Kuramoto1975

Great video by Minute Earth about Tidal Locking and the Moon — https://ve42.co/MinuteEarth

Strogatz, S. H., Abrams, D. M., McRobie, A., Eckhardt, B., & Ott, E. (2005). Crowd synchrony on the Millennium Bridge. Nature, 438(7064), 43-44. — https://ve42.co/Strogatz2005

Zhabotinsky, A. M. (2007). Belousov-zhabotinsky reaction. Scholarpedia, 2(9), 1435. — https://ve42.co/Zhabotinsky2007

Flavio H Fenton et al. (2008) Cardiac arrhythmia. Scholarpedia, 3(7):1665. — https://ve42.co/Cardiac

Cherry, E. M., & Fenton, F. H. (2008). Visualization of spiral and scroll waves in simulated and experimental cardiac tissue. New Journal of Physics, 10(12), 125016. — https://ve42.co/Cherry2008

Tyson, J. J. (1994). What everyone should know about the Belousov-Zhabotinsky reaction. In Frontiers in mathematical biology (pp. 569-587). Springer, Berlin, Heidelberg. — https://ve42.co/Tyson1994

Winfree, A. T. (2001). The geometry of biological time (Vol. 12). Springer Science & Business Media. — https://ve42.co/Winfree2001

The Manim Community Developers. (2021). Manim – Mathematical Animation Framework (Version v0.13.1) [Computer software]. https://www.manim.community/

Special thanks to Patreon supporters: Mac Malkawi, Oleksii Leonov, Michael Schneider, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Lyvann Ferrusca, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

Written by Derek Muller and Petr Lebedev
Animation by Fabio Albertelli and Jakub Misiek
Simulations and 3D Animation by Jonny Hyman
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Additional video supplied by Getty Images
Thumbnail by Ignat Berbeci

More footage from NASA's Scientific Visualization Studio

100 metronome video from https://www.youtube.com/watch?v=suxu1bmPm2g

Intro animation by Jorge Cham

Thanks for the BZ footage from SteinbockGroup: https://www.youtube.com/watch?v=IJn1ssZEyns and
NileRed https://youtu.be/LL3kVtc-4vY

Animation of waves in the heart from The Virtual Heart/ EM Cherry/ FH Fenton — https://ve42.co/Cardiac and https://ve42.co/Cherry2008

Chemical materials and protocol provided by Mike Morris and the UCI Chemistry Outreach Program https://www.chem.uci.edu/~jsno....wick/outreach/UCI_Ou

Thanks to Alie Ward for title/thumbnail consultation
Thanks to Dr Juliette Becker and Dr James O'Donoghue for the planetary science help

Music from Jonny Hyman, Epidemic Sound https://epidemicsound.com "Seaweed" "Deeper Than The Ocean" "Ripple Effect"
Music also from Artlist https://artlist.com "Children of Mystery"

Thumbnail by Ignat Berbeci