Sewing machines are mechanical marvels – here’s how they work. Get your first month of KiwiCo FREE at https://www.kiwico.com/veritasium

If you’re looking for a molecular modeling kit, head to https://ve42.co/SnatomsV to try Snatoms – a kit I invented where the atoms snap together magnetically.

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A huge thanks to Prof. Andy Ruina for suggesting this video topic, guiding us in the research, and giving deeply insightful notes.

Massive thanks to Noah Johnson and Tina Vines for teaching Derek how to chain-stitch, and letting us shoot with your embroidery machine! Please check out https://www.instagram.com/stitchrite and https://www.instagram.com/tina_vines if you're interested in seeing more of their gorgeous chain stitch embroidery.

Thanks to Denny Stanley and the whole crew at Las Vegas Props for building the large replica model of the sewing machine. https://www.vegasprops.net

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References:
Parton, J. (1870). History of the Sewing-machine. Howe Machine Company, No. 38, N. Charles St.. -- https://ve42.co/Patron1870

Gregory, J. M. (2006). A History of the Sewing Machine to 1880. Transactions of the Newcomen Society, 76(1), 127-144. -- https://ve42.co/Gregory2006

How America Spends Money: 100 Years In the Life of the Family Budget, The Atlantic -- https://ve42.co/Budget1

Buckman, J. (2016). Unraveling the Threads: The Life, Death and Resurrection of the Singer Sewing Machine Company, America’s First Multi-National Corporation. Dog Ear Publishing.

Lewton, F. L. (1930). The servant in the house: a brief history of the sewing machine (Vol. 3056). US Government Printing Office. -- https://ve42.co/Lewton1930

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Special thanks to our Patreon supporters:
Adam Foreman, Anton Ragin, Balkrishna Heroor, Bernard McGee, Bill Linder, Burt Humburg, Chris Harper, Dave Kircher, Diffbot, Evgeny Skvortsov, Gnare, John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Max Paladino, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures

▀▀▀
Directed by Petr Lebedev
Written by Petr Lebedev, Derek Muller, Felicity Nelson
Edited by Trenton Oliver
Animated by Mike Radjabov, Fabio Albertelli and Jakub Misiek
Filmed by Derek Muller, Raquel Nuno, Gene Nagata and Taylor Cody
Additional Research by Gregor Čavlović
Produced by Petr Lebedev, Han Evans, and Derek Muller
Additional video/photos supplied by Getty Images and Storyblocks
Music from Epidemic Sound

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Inventé Snatoms, un kit de modelado de moléculas donde los átomos se unen entre sí magnéticamente. Pruébalo aquí: https://ve42.co/SnatomsV

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For decades, the Sleeping Beauty Problem has divided people between two answers. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 of you will get 20% off an annual premium subscription.

▀▀▀
Many thanks to Dr. Mike Titelbaum and Dr. Adam Elga for their insights into the problem.

▀▀▀
References:

Elga, A. (2000). Self-locating belief and the Sleeping Beauty problem. Analysis, 60(2), 143-147. - https://ve42.co/Elga2000

Lewis, D. (2001). Sleeping beauty: reply to Elga. Analysis, 61(3), 171-176. - https://ve42.co/Lewis2001

Winkler, P. (2017). The sleeping beauty controversy. The American Mathematical Monthly, 124(7), 579-587. - https://ve42.co/Winkler2017

Titelbaum, M. G. (2013). Ten reasons to care about the Sleeping Beauty problem. Philosophy Compass, 8(11), 1003-1017. - https://ve42.co/Titelbaum2013

Mutalik, P. (2016). Solution: ‘Sleeping Beauty’s Dilemma’, Quanta Magazine - https://ve42.co/MutalikQ2016

Rec.Puzzles - Some “Sleeping Beauty” Postings - https://ve42.co/SBRecPuzzles

The Sleeping Beauty Paradox, Statistics SE - https://ve42.co/SBPSSE

The Sleeping Beauty Problem, Reddit - https://ve42.co/SBPReddit

Sleeping Beauty paradox explained, GameFAQs - https://ve42.co/SBPGameFAQ

The Sleeping Beauty Problem, Physics Forums - https://ve42.co/SBPPhysicsForums

▀▀▀
Special thanks to our Patreon supporters:
Tj Steyn, Meg Noah, Bernard McGee, KeyWestr, Elliot Miller, Brian Busbee, Jerome Barakos, M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin, Jr., Eric Sexton, john kiehl, Anton Ragin, Benedikt Heinen, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Mike Schneider, jim buckmaster, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi.

▀▀▀
Written by Emily Zhang, Derek Muller, Tamar Lichter Blanks
Edited by Fabio Albertelli
Animation by Ivy Tello, Fabio Albertelli, Jakub Misiek
Additional video/photos supplied by Getty Images & Pond5
Music from Epidemic Sound
Thumbnail by Ignat Berbeci
Produced by Derek Muller, Petr Lebedev, Emily Zhang

How a rainfall simulator saves millions of lives. Get exclusive NordVPN deal here ➵ https://NordVPN.com/veritasium. It’s risk free with Nord’s 30 day money-back guarantee!

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
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If you’re looking for a molecular modeling kit, try Snatoms – a kit I invented where the atoms snap together magnetically – https://ve42.co/SnatomsV

▀▀▀
Huge thanks to Okouchi-San and Dr. Sakai and everyone at NIED and the Large Scale Rainfall Simulator for their time, expertise and access to this amazing facility.

A big thank you to Prof. Olga Mavrouli and Prof. Bill Schulz for their invaluable expertise on the mechanisms of landslides.

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References:
Ulbrich, C. W. (1983). Natural variations in the analytical form of the raindrop size distribution. Journal of climate and applied meteorology, 1764-1775. – https://ve42.co/Ulbrich83

Van Boxel, J. H. (1997, November). Numerical model for the fall speed of rain drops in a rain fall simulator. In Workshop on wind and water erosion (Vol. 5, pp. 77-85). – https://ve42.co/Boxel87

Canuti, P., Focardi, P., & Garzonio, C. (1985). Correlation between rainfall and landslides. Bulletin of Engineering Geology & the Environment, 32(1).

Tsaparas, I., Rahardjo, H., Toll, D. G., & Leong, E. C. (2002). Controlling parameters for rainfall-induced landslides. Computers and geotechnics, 29(1), 1-27. – https://ve42.co/Tsaparas2002

Nakamura, H., & Oosawa, M. (2021, March). Effects of the underground discharge channel/reservoir for small urban rivers in the Tokyo area. In IOP Conference Series: Earth and Environmental Science (Vol. 703, No. 1, p. 012029). IOP Publishing. – https://ve42.co/Nakamura21

Guthrie, R. H., & Evans, S. G. (2004). Magnitude and frequency of landslides triggered by a storm event, Loughborough Inlet, British Columbia. Natural Hazards and Earth System Sciences, 4(3), 475-483. – https://ve42.co/Guthrie2004

Images & Video:
Miyako, Iwate Tsunami via ANNnewsCH - https://ve42.co/Miyako2011
Mount Onake Volcano via BBC News - https://ve42.co/BBCOnake
Typhoon Jebi via Al Jazeera - https://ve42.co/TyphoonJebi
East Asia Typhoons via CBC News - https://ve42.co/TyphoonCBC
Atami Landslide via The Quint - https://ve42.co/Atami2021
Atami Landslide via news.com.au - https://ve42.co/2ndAtami2021
Sendai Earthquake via ANNnewsCH - https://ve42.co/SendaiQuake
Nagasaki Mudslide via The Telegrap - https://ve42.co/NagasakiMudslide
Wajima Landslide via Guardian News - https://ve42.co/WajimaLandslide
Drone Rainfall Test via AIZAWAchan - https://ve42.co/DroneRain
Car Rainfall Test via TIER IV - https://ve42.co/CarRainTest
Rainfall Simulator via NIED - https://ve42.co/RainfallSim1
External Footage of Simulator via NIED - https://ve42.co/RainfallSim2
Landslide Simulations via NIED - https://ve42.co/RainfallSim3
Typhoon Prapiroon via Force Thirteen - https://ve42.co/TyphoonPrapiroon
Yanohigashi Floods via CNA - https://ve42.co/YanohigashiFloods
Japan Floods via The Telegraph - https://ve42.co/TelegraphFlood
Japan Floods via euronew - https://ve42.co/EuroNewsFlood
Typhoon Hagibis via Guardian News - https://ve42.co/TyphoonHagibis
Typhoon Hagibis via SCMP - https://ve42.co/TyphoonHagibisSCMP
Satellite Imagery of Hagibis via Force Thirteen - https://ve42.co/HagibisSatellite
Tokyo Flood Control System via NikkeiAsia.com - https://ve42.co/FloodControl
Landslides Footage via Underworld - https://ve42.co/MonsterLandslides
Norway Landslide via ABC7 - https://ve42.co/NorwayLandslide
Planet Destruction via BBC - https://ve42.co/BBCDestruction
B.C. Climate Change Danger via CBC News - https://ve42.co/BCClimateChange
Canada’s Logging Roads via CBC News - https://ve42.co/CBCLogging

▀▀▀
Special thanks to our Patreon supporters:
Chris Harper, Max Paladino, Balkrishna Heroor, Adam Foreman, Orlando Bassotto, Tj Steyn, meg noah, KeyWestr, TTST, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Juan Benet, David Johnston, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi

▀▀▀
Directed by Petr Lebedev
Written by Petr Lebedev
Edited by Peter Nelson
Additional Research by Gregor Čavlović
Animated by Fabio Albertelli
Illustrations by Jakub Misiek
Filmed by Petr Lebedev, Emily Zhang, Derek Muller
Produced by Petr Lebedev, Han Evans and Gregor Čavlović
Thumbnail by Peter Sheppard
Additional video/photos supplied by Getty Images
Music from Epidemic Sound

This is a video about the most famous problem in Game Theory, the Prisoner’s Dilemma. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.

Special thanks to our Patreon supporters! Join the community to help us keep our videos free, forever:
https://ve42.co/PatreonDEB

If you’re looking for a molecular modeling kit, try Snatoms – a kit I invented where the atoms snap together magnetically – https://ve42.co/SnatomsV


▀▀▀
A massive thank you to Prof. Robert Axelrod and Prof. Steven Strogatz for their expertise and time.

To read more about Prof. Axelrod’s Passion for Cooperation visit: https://ve42.co/Axelrod2023

A massive thanks to the wonderful Nicky Case. Nicky’s “The Evolution of Trust” game was a huge inspiration for this video. We highly recommend you play this excellent game yourself, over at: https://ncase.me/trust/

A huge thank you to those who helped us understand and fact check different parts of this topic - Dr. Christian Hilbe, Dr. Vincent Knight, Dr. Jelena Grujic, Prof. Andreas Diekmann, and Dr. Alexander Stewart.

▀▀▀
References:
Excellent game on the evolution of trust by Nicky Case - https://ve42.co/Case2023
Summary of Axelrod’s work by This Place - https://www.youtube.com/watch?v=BOvAbjfJ0x0
How to outsmart the Prisoner’s Dilemma by TED-Ed - https://www.youtube.com/watch?v=emyi4z-O0ls&pp=ygUScHJpc29uZXIncyBkaWxlbW1h
Tit for Tat by radiolab - https://ve42.co/T4T
The Golden Rule by radiolab - https://ve42.co/GoldenRule
Axelrod, R. (1984). The Evolution of Cooperation.
Dawkins, R. (2016). The selfish gene. Oxford university press.
Poundstone, W. (1992). Prisoner's Dilemma. William Poundstone.
Nowak, M. A., & Highfield, R. (2011). Supercooperators. Edinburgh: Canongate.
Binmore, K. (2007). Game theory: a very short introduction. OUP Oxford.
Northrup, L. & Rock, D. (1966). The Detection of Joe I. - https://ve42.co/JOE1
Prisoner’s dilemma, Wikipedia - https://ve42.co/WikiPD
Prisoner’s Dilemma, Stanford - https://ve42.co/StanfordPD
Flood, M. M. (1952). Some experimental games. - https://ve42.co/Flood1952
Historical nuclear weapons stockpiles, Wikipedia - https://ve42.co/WikiNWS
Goodwin, I. (1998). The Price of Victory in Cold War - https://ve42.co/Goodwin1998
Cold war: How it happened. - https://ve42.co/CW2014
Axelrod, R. (1980). Effective choice in the prisoner's dilemma. Journal of conflict resolution, 24(1), 3-25. - https://ve42.co/Axelrod1980a
Axelrod, R. (1980). More effective choice in the prisoner's dilemma. Journal of conflict resolution, 24(3), 379-403. - https://ve42.co/Axelrod1980b
Axelrod, R., & Hamilton, W. D. (1981). The evolution of cooperation. science, 211(4489), 1390-1396. https://ve42.co/Axelrod1981
Stanislav Petrov, Wikipedia - https://ve42.co/WikiSP
Wu, J., & Axelrod, R. (1995). How to cope with noise in the iterated prisoner's dilemma. Journal of Conflict resolution, 39(1), 183-189. - https://ve42.co/Wu1995
INF Treaty - https://ve42.co/INF
START Treaties - https://ve42.co/START
START I, Wikipedia - https://ve42.co/WikiSTART


Images & Video:
RAND Historical images via rand.org - https://ve42.co/RAND
Golden Balls - https://www.youtube.com/watch?v=S0qjK3TWZE8
Zotti, G., et al. (2021). The Simulated Sky: Stellarium for Cultural Astronomy Research - https://ve42.co/Stellarium
Newspapers from 1980s via Newspapers.com – https://ve42.co/Newspapers
Decommisioned nuke image via The Moscow Times - https://ve42.co/MT2012
Soviet inspection image via Bulletin of the Atomic Scientists - https://ve42.co/Krzyzaniak2019
Decommissioning nuclear weapon via ShareAmerica - https://ve42.co/Kaufman2014


▀▀▀
Special thanks to our Patreon supporters:
Adam Foreman, Amadeo Bee, Anton Ragin, Balkrishna Heroor, Bernard McGee, Bill Linder, Burt Humburg, Dave Kircher, Diffbot, Evgeny Skvortsov, Gnare, Jesse Brandsoy, John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Mario Bottion, Max Maladino, Meekay, meg noah, Michael Krugman, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures


▀▀▀
Directed by Casper Mebius
Written by Casper Mebius, Derek Muller, Petr Lebedev, and Ashley Hamer
Additional research and fact checking by Gregor Čavlović and Will Wood
Edited by Peter Nelson
Animated by Fabio Albertelli, Ivy Tello and Alondra Vitae
Illustrations by Jakub Misiek
Filmed by Derek Muller
Produced by Casper Mebius, Derek Muller, Gregor Čavlović and Han Evans

Additional video/photos supplied by Getty Images
Music from Epidemic Sound
Thumbnail by Peter Sheppard

The blue LED was supposed to be impossible—until a young engineer proposed a moonshot idea. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB

Huge thanks to the UC Santa Barbara Materials Dept (https://ssleec.ucsb.edu/) for taking us around.
Thanks to Álvaro Bermejillo Seco for reviewing the science.
Thanks to these especially helpful sources:
Nobel Prize Biography - Shuji Nakamura - https://ve42.co/NakamuraNobel
Johnstone, B. (2015). Brilliant!. Prometheus Books. - https://ve42.co/Johnstone2015
Nakamura, S., Pearton, S., & Fasol, G. (2010). The Blue Laser Diode: The Complete Story. Springer. - https://ve42.co/Nakamura2010

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References:
https://www.youtube.com/watch?v=O8M2z2hIbag
https://www.youtube.com/watch?v=TGUteH93xNo
https://www.youtube.com/watch?v=idwKHQEw78g
https://www.youtube.com/watch?v=yoTALRhAqWc
Touchstone, L. A. (2022). Nick Holonyak Jr. University of Illinois. - https://ve42.co/Touchstone2022
Perry, T. S. (1995). The Unsung Inventor. IEEE Spectrum. - https://ve42.co/Perry1995
Chabay, R. & Sherwood, B. (2011). Matter & interactions (4th ed.), S2: Semiconductors. Wiley. - https://ve42.co/ChabaySherwood
How MOCVD Works via Aixtron - https://ve42.co/MOCVD
Vangala, S. R., et al. (2019). Epitaxial growth of ZnSe on GaAs. Journal of Crystal Growth. - https://ve42.co/Vangala2019
Nakamura, S. (1991). GaN Growth Using GaN Buffer Layer. JJAP. - https://ve42.co/Nakamura3rd1991
Amano, H., et al. (1989). P-Type Conduction in Mg-Doped GaN w/ LEEBI. JJAP. - https://ve42.co/Amano1989
Huang, M., et al. (2021). Defects in Mg–H‐Codoped GaN. Physica Status Solidi. - https://ve42.co/Huang2021
Schubert, E. F. (2006). Light Emitting Diodes, Ch 4: LED basics. Cambridge University Press. - https://ve42.co/RPI-LEDs
Kitada, C. (2001). Blue About Japan. Japan Inc. - https://ve42.co/Kitada2001
Whitaker, T. (2002). Nakamura loses Nichia patent battle. Optics.org. - https://ve42.co/NichiaSales3
Pirates Osaka. (2014). Nakamura awarded Nobel Prize in Physics. Hatena Blog. - https://ve42.co/NichiaSales1
Growth Bozu via Twitter. - https://ve42.co/NichiaSales2
Rose, J. (2014). Blue LEDs – Filling the world with new light. The Royal Swedish Academy of Sciences. - https://ve42.co/Rose2014
Pattison, P. M., et al. (2017). LED lighting efficacy. Comptes Rendus Physique. - https://ve42.co/Pattison2017
Electricity pricing via EIA - https://ve42.co/ElectricityPricing
Lane, K., et al. (2023). Lighting. IEA. - https://ve42.co/LightingIEA
LED Footprint via The Climate Group - https://ve42.co/ClimateGroupLED
Nichia’s History via Nichia - https://ve42.co/NichiaHistory
Shuji Nakamura via Wikipedia - https://ve42.co/NakamuraWiki

Images & Video:
Lighting the World via UCTVInsight on YouTube - https://ve42.co/UCTVep2 & https://ve42.co/UCTVep3
Palo Alto Times 1971 Article via Newspapers.com - https://ve42.co/Newspapers
Nick Holonyak, Jr. and the LED via UIUC on YouTube - https://ve42.co/HolonyakIllinois
The Original Blue LED via Science History Institute on YouTube - https://ve42.co/OGBlueLED
Maxfield, M. (2022). Compound Semiconductors. EE Journal. - https://ve42.co/Maxfield2022
M. Stutzmann, et al. (2001). Playing with Polarity. pss (b). - https://ve42.co/Stutzman2001
Isamu Akasaki in 1995 via Andrey Nikolaev on YouTube - https://ve42.co/AsakiNikolaev
Pioneer TX-610 Stereo Tuner via Ian Marino on YouTube - https://ve42.co/StereoMarino
Shuji Nakamura via EPO on YouTube - https://ve42.co/NakamuraEPO
Nichia Campus via Nichia on LinkedIn - https://ve42.co/NichiaHQ
Nichia via TDElektronik on YouTube - https://ve42.co/NichiaTDE
Violeds Sterilization of COVID-19 via Seoul Viosys - https://ve42.co/SterilizationUV

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Special thanks to our Patreon supporters:
Chris Harper, Max Paladino, Balkrishna Heroor, Adam Foreman, Orlando Bassotto, Tj Steyn, meg noah, KeyWestr, TTST, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Juan Benet, David Johnston, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi

▀▀▀
Directed by Emily Zhang
Written by Emily Zhang, Ricky Nathvani, and Derek Muller
Edited by Trenton Oliver
Illustrated by Jakub Misiek
Animated by Fabio Albertelli, Mike Radjabov, David Szakaly, Ivy Tello, and Alondra Vitae
Filmed by Derek Muller, Raquel Nuno, and Trenton Oliver
Additional research by Gregor Čavlović
Produced by Emily Zhang, Han Evans, Gregor Čavlović, and Derek Muller

Thumbnail by Ren Hurley
Additional video/photos supplied by Getty Images and Pond5
Music from Epidemic Sound

The most famous equation in finance, the Black-Scholes/Merton equation, came from physics. It launched an industry worth trillions of dollars and led to the world’s best investments. Go to https://www.eightsleep.com/veritasium and use the code Veritasium for $200 off your Pod Cover.

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB

If you’re looking for a molecular modeling kit, try Snatoms, a kit I invented where the atoms snap together magnetically - https://ve42.co/SnatomsV

▀▀▀

A huge thank you to Prof. Andrew Lo (MIT) for speaking with us and helping with the script.

We would also like to thank the following:
Prof. Amanda Turner (University of Leeds)
Owen Maher (Electrify Video Partners)

▀▀▀
References:

The Man Who Solved the Market: How Jim Simons launched the quant revolution, Gregory Zuckerman. Penguin Publishing Group. - https://ve42.co/GZuckerman

The Physics of Finance: Predicting the Unpredictable: Can Science Beat the Market? James Owen Weatherall. Short Books. - https://ve42.co/FinancePhysics

The Statistical Mechanics of Financial Markets, J.Voigt. Springer. - https://ve42.co/Springer

Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of political economy, 81(3), 637-654. - https://ve42.co/BlackScholes

Cornell, B. (2020). Medallion fund: The ultimate counterexample?. The Journal of Portfolio Management, 46(4), 156-159. - https://ve42.co/Medallion

Images & Video:
Ed Thorp on The Tim Ferris Show - https://www.youtube.com/watch?v=CNvz91Jyzbg
Jim Simons on TED - https://www.youtube.com/watch?v=U5kIdtMJGc8
Jim Simons on Numberphile - https://www.youtube.com/watch?v=QNznD9hMEh0

▀▀▀
Special thanks to our Patreon supporters:
Adam Foreman, Anton Ragin, Balkrishna Heroor, Bill Linder, Blake Byers, Burt Humburg, Chris Harper, Dave Kircher, David Johnston, Diffbot, Evgeny Skvortsov, Garrett Mueller, Gnare, I.H., John H. Austin, Jr. ,john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Max Paladino, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures


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Directed by Will Wood and Derek Muller
Written by Will Wood, Emily Zhang, Petr Lebedev and Derek Muller
Camera operation by Raquel Nuno
Additional research by Gregor Čavlović
Edited by Jack Saxon and Trenton Oliver
Animated by Fabio Albertelli, Jakub Misiek, Ivy Tello, David Szakaly and Will Wood
Produced by Will Wood, Han Evans and Derek Muller

Thumbnail by Ren Hurley
Additional video/photos supplied by Getty Images and Pond5
Music from Epidemic Sound

The number 37 is on your mind more than you think. Head to https://brilliant.org/veritasium to start your free 30-day trial and get 20% off an annual premium subscription.

Huge thanks to Tom Magliery for sharing his 37 collection with us. Support http://thirty-seven.org by sharing your own 37 sightings to tom@thirty-seven.org!
Thanks to Dr. Todd Landman, the Academic Magician, for sharing his footage of the 37 Force. - https://www.todd-landman.com/

▀▀▀
Special thanks to our Patreon supporters! Join the community to help us keep our videos free, forever: https://ve42.co/PatreonDE

Sam Lutfi, Lee Redden, Juan Benet, Richard Sundvall, Paul Peijzel, Gnare, Michael Krugman, Meekay, Ubiquity Ventures, Marinus Kuivenhoven, Bill Linder, Evgeny Skvortsov, Burt Humburg, Dave Kircher, Diffbot, john kiehl, Blake Byers, Stephen Wilcox, John H. Austin, Jr., Josh Hibschman, TTST, Orlando Bassotto, Anton Ragin, David Johnston, KeyWestr, Tj Steyn, meg noah, Chris Harper, Adam Foreman, Max Paladino, Balkrishna Heroor, I. H., Garrett Mueller, Bertrand Serlet, Kyi, wolfee, Matthias Wrobel

If you’re looking for a molecular modeling kit, try Snatoms, a kit I invented where the atoms snap together magnetically - https://ve42.co/SnatomsV

▀▀▀
References:
Simon, W. E. (1972). “Blue Seven Phenomenon” in Elementary and Jr. High Children. Psychological Reports - https://ve42.co/Simon1972
Trueman, J. (1979). Existence & Robustness of Blue Seven Phenomena. The Journal of General Psychology - https://ve42.co/Trueman1979
Saito, M. (1999). “Blue and Seven Phenomena” in Japanese Students. Perceptual & Motor Skills - https://ve42.co/Saito1999
Philbrick, J. L. (1976). Blue seven in East Africa: Preliminary report. Perceptual & Motor Skills - https://ve42.co/Philbrick1976
Hargreaves, S. (2009). The psychology of randomness. - https://ve42.co/Hargreaves2009
The 37 Force via The Magician’s Forum - https://ve42.co/37Force1
Fulves, K. (1979) Self-Working Mental Magic. Dover Publications, Inc. - https://ve42.co/Fulves1979
Random numbers via The Jargon File at catb.org - https://ve42.co/Jargon
Random Number Survey by MahoganyForest via Reddit - https://ve42.co/RedditRndm
Prime number theorem via Wikipedia - https://ve42.co/WikiPNT
Grossack, C. (2023). A truly incredible fact about the number 37. Grossack.site - https://ve42.co/Grossack2023
Least prime factor of n via oeis.org - https://ve42.co/LeastPrime
Fry, H. (2017). When should you settle down? ideas.ted.com - https://ve42.co/Fry2017
Choosing Toilets by Numberphile - https://www.youtube.com/watch?v=XIOoCKO-ybQ
Seaton, R. (2014). The Secretary Problem Explained: Dating Mathematically. rs.io - https://ve42.co/Seaton2014

Images & Video:
Just 37 by Tom Magliery - https://ve42.co/Just37
R4000 Processor via Molecular Expressions - https://ve42.co/micro37
The “37” Cluster by Noel Carboni - https://ve42.co/NGC2169
Charles Fleischer via Wikimedia - https://ve42.co/Fleischer

▀▀▀
Directed by Emily Zhang
Written by Emily Zhang and Derek Muller
Edited by Peter Nelson
Asst edited by Luke Molloy
Animated by Fabio Albertelli, Ivy Tello, and Leigh Williamson
Illustrated by Jakub Misiek
Filmed by Emily Zhang, Casper Mebius, Derek Muller, Michael Cimpher, and David Szasz
Additional research by Gregor Čavlović
Produced by Emily Zhang, Giovanna Utichi, Han Evans, and Emily Taylor

Thumbnail contributions by Ignat Berbeci, Ren Hurley, and Peter Sheppard
Additional video/photos supplied by Getty Images and Storyblocks
Music from Epidemic Sound

Do odd perfect numbers exist? Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
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A massive thank you to Prof. Pace Nielsen for all his time and help with this video.

A big thank you to Dr. Asaf Karagila, Pascal Ochem, Prof. Tianxin Cai, and Prof. William Dunham for their expertise and help.

To try GIMPS out yourself: https://ve42.co/GIMPS

These sources were particularly helpful:
Perfect numbers via MacTutor - https://ve42.co/MTPerfect
Cai, T. (2022). Perfect numbers and fibonacci sequences. World Scientific. - https://ve42.co/Cai2022
Dunham, W. (2022). Euler: The master of us all (Vol. 22). American Mathematical Society. - https://ve42.co/Dunham2022

▀▀▀
References:
https://www.youtube.com/watch?v=T0xKHwQH-4I&pp=ygUPcGVyZmVjdCBudW1iZXJz
https://www.youtube.com/watch?v=q8n15q1v4Xo&pp=ygUPcGVyZmVjdCBudW1iZXJz
Dickson, L. E. (1919). History of the Theory of Numbers.. (Vol. 1). Carnegie Institution of Washington.
Knill, O. (2007). The oldest open problem in mathematics. NEU Math Circle, December2. - https://ve42.co/Knill2007
Perfect number via Wikipedia - https://ve42.co/WikiPerfect
Introduction to Arithmetic via HalthiTrust - https://ve42.co/IntroArithmetic
Nicomachus of Gerasa via MacTutor - https://ve42.co/MTNicomachus
Sonja, B. (1988). The First Perfect Numbers and Three Types of Amicable Numbers in a Manuscript on Elementary Number Theory by Ibn Fellûs. Erdem, c. IV, 11. - https://ve42.co/Sonja1988
Ibn Fallus via Wikipedia - https://ve42.co/WikiFallus
Mersenne prime via Wikipedia - https://ve42.co/WikiMP
List of Known Mersenne Prime Numbers - https://ve42.co/ListOfMP
Marin Mersenne via MacTutor - https://ve42.co/MTMersenne
Leonhard Euler via Wikipedia - https://ve42.co/WikiEuler
Frank Nelson Cole via Wikipedia - https://ve42.co/WikiFNCole
GIMPS History via Mersenne.org - https://ve42.co/GIMPSHistory
EFF Cooperative Computing Awards via EFF - https://ve42.co/EFFAwards
Jonathan Pace via Primewiki - https://ve42.co/PWikiPace
Book with just one number sells out in Japan via BastillePost - https://ve42.co/PrimeBook
Predicted distribution of Mersenne primes via John D. Cook - https://ve42.co/JDCookMP
Euler’s Odd Perfect Numbers Theorem via Cantor's Paradise - https://ve42.co/EulerOPN
A Perfect (Math) Mystery via Medium - https://ve42.co/Machado2024
Brent, R. P., Cohen, G. L., & te Riele, H. J. (1991). Improved techniques for lower bounds for odd perfect numbers. Mathematics of Computation, 57(196), 857-868. - https://ve42.co/Brent1991
Ochem, P., & Rao, M. (2012). Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation, 81(279), 1869-1877. - https://ve42.co/Ochem2012
Mathematicians Open a New Front on an Ancient Number Problem via Quantamagazine - https://ve42.co/QuantaSpoofs
Descartes number via Wikipedia - https://ve42.co/WikiDescartesNumber
Andersen, N., Durham, S., Griffin, M. J., Hales, J., Jenkins, P., Keck, R., ... & Wu, D. (2022). Odd, spoof perfect factorizations. Journal of Number Theory, 234, 31-47. - https://ve42.co/Andersen2022
Pomerance’s Heuristic that Odd Perfect Numbers are Unlikely via OddPerfect.org - https://ve42.co/Heuristic

Images & Video:
Clip of Piergiorgio Odifreddi - https://www.youtube.com/watch?v=y0paHEA8-gA
Euclid’s Elements 1 via Claymath - https://ve42.co/CM1
Euclid’s Elements 2 via Claymath - https://ve42.co/CM2
Euclid’s Elements 3 via Claymath - https://ve42.co/CM3
Diophanti - https://ve42.co/Diophanti
Gauss book - https://ve42.co/GaussDis
Euler’s Archive 1 - https://ve42.co/Euler1
Euler’s Archive 2 - https://ve42.co/Euler2

▀▀▀
Special thanks to our Patreon supporters:
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10 Hacks to take your ChatGPT prompting skills to the next level! 🔝

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Please write back to us at sales@edureka.co or call us at IND: 9606058406 / US: +18338555775 (toll-free) for more information.

🔥𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐀𝐫𝐭𝐢𝐟𝐢𝐜𝐢𝐚𝐥 𝐈𝐧𝐭𝐞𝐥𝐥𝐢𝐠𝐞𝐧𝐜𝐞 𝐂𝐞𝐫𝐭𝐢𝐟𝐢𝐜𝐚𝐭𝐢𝐨𝐧 𝐂𝐨𝐮𝐫𝐬𝐞 (𝐔𝐬𝐞 𝐂𝐨𝐝𝐞: 𝐘𝐎𝐔𝐓𝐔𝐁𝐄𝟐𝟎) : https://www.edureka.co/advance....d-artificial-intelli
This video on "Deep Learning with Python" will provide you with detailed and comprehensive knowledge of Deep Learning, How it came into emergence. The various subparts of Data Science, how they are related, and How Deep Learning is revolutionalizing the world we live in.

📢📢 𝐓𝐨𝐩 𝟏𝟎 𝐓𝐫𝐞𝐧𝐝𝐢𝐧𝐠 𝐓𝐞𝐜𝐡𝐧𝐨𝐥𝐨𝐠𝐢𝐞𝐬 𝐭𝐨 𝐋𝐞𝐚𝐫𝐧 𝐢𝐧 𝟐𝟎𝟐𝟒 𝐒𝐞𝐫𝐢𝐞𝐬 📢📢
⏩ NEW Top 10 Technologies To Learn In 2024 - https://www.youtube.com/watch?v=vaLXPv0ewHU

🔴 Subscribe to our channel to get video updates. Hit the subscribe button above: https://goo.gl/6ohpTV

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐎𝐧𝐥𝐢𝐧𝐞 𝐓𝐫𝐚𝐢𝐧𝐢𝐧𝐠 𝐚𝐧𝐝 𝐂𝐞𝐫𝐭𝐢𝐟𝐢𝐜𝐚𝐭𝐢𝐨𝐧𝐬

🔵 DevOps Online Training: http://bit.ly/3VkBRUT
🌕 AWS Online Training: http://bit.ly/3ADYwDY
🔵 React Online Training: http://bit.ly/3Vc4yDw
🌕 Tableau Online Training: http://bit.ly/3guTe6J
🔵 Power BI Online Training: http://bit.ly/3VntjMY
🌕 Selenium Online Training: http://bit.ly/3EVDtis
🔵 PMP Online Training: http://bit.ly/3XugO44
🌕 Salesforce Online Training: http://bit.ly/3OsAXDH
🔵 Cybersecurity Online Training: http://bit.ly/3tXgw8t
🌕 Java Online Training: http://bit.ly/3tRxghg
🔵 Big Data Online Training: http://bit.ly/3EvUqP5
🌕 RPA Online Training: http://bit.ly/3GFHKYB
🔵 Python Online Training: http://bit.ly/3Oubt8M
🌕 Azure Online Training: http://bit.ly/3i4P85F
🔵 GCP Online Training: http://bit.ly/3VkCzS3
🌕 Microservices Online Training: http://bit.ly/3gxYqqv
🔵 Data Science Online Training: http://bit.ly/3V3nLrc
🌕 CEHv12 Online Training: http://bit.ly/3Vhq8Hj
🔵 Angular Online Training: http://bit.ly/3EYcCTe

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐑𝐨𝐥𝐞-𝐁𝐚𝐬𝐞𝐝 𝐂𝐨𝐮𝐫𝐬𝐞𝐬

🔵 DevOps Engineer Masters Program: http://bit.ly/3Oud9PC
🌕 Cloud Architect Masters Program: http://bit.ly/3OvueZy
🔵 Data Scientist Masters Program: http://bit.ly/3tUAOiT
🌕 Big Data Architect Masters Program: http://bit.ly/3tTWT0V
🔵 Machine Learning Engineer Masters Program: http://bit.ly/3AEq4c4
🌕 Business Intelligence Masters Program: http://bit.ly/3UZPqJz
🔵 Python Developer Masters Program: http://bit.ly/3EV6kDv
🌕 RPA Developer Masters Program: http://bit.ly/3OteYfP
🔵 Web Development Masters Program: http://bit.ly/3U9R5va
🌕 Computer Science Bootcamp Program: http://bit.ly/3UZxPBy
🔵 Cyber Security Masters Program: http://bit.ly/3U25rNR
🌕 Full Stack Developer Masters Program: http://bit.ly/3tWCE2S
🔵 Automation Testing Engineer Masters Program: http://bit.ly/3AGXg2J
🌕 Python Developer Masters Program: https://bit.ly/3EV6kDv
🔵 Azure Cloud Engineer Masters Program: http://bit.ly/3AEBHzH

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐔𝐧𝐢𝐯𝐞𝐫𝐬𝐢𝐭𝐲 𝐏𝐫𝐨𝐠𝐫𝐚𝐦𝐬

🔵 Post Graduate Program in DevOps with Purdue University: https://bit.ly/3Ov52lT

🌕 Advanced Certificate Program in Data Science with E&ICT Academy, IIT Guwahati: http://bit.ly/3V7ffrh

🔵 Advanced Certificate Program in Cloud Computing with E&ICT Academy, IIT Guwahati: https://bit.ly/43vmME8

🌕Advanced Certificate Program in Cybersecurity with E&ICT Academy, IIT Guwahati: https://bit.ly/3Pd2utG


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📌𝐂𝐚𝐬𝐭𝐛𝐨𝐱: https://castbox.fm/networks/505?country=IN
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Please write back to us at sales@edureka.co or call us at IND: 9606058406 / US: +18338555775 (toll-free) for more information.

🔥 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐎𝐧𝐥𝐢𝐧𝐞 𝐌𝐲𝐒𝐐𝐋 𝐃𝐁𝐀 𝐂𝐞𝐫𝐭𝐢𝐟𝐢𝐜𝐚𝐭𝐢𝐨𝐧 𝐓𝐫𝐚𝐢𝐧𝐢𝐧𝐠 : https://www.edureka.co/mysql-dba (Use Code "𝐘𝐎𝐔𝐓𝐔𝐁𝐄𝟐𝟎")
This Edureka video on 'What is SQL?' will help you understand what exactly SQL is and also the problem faced by the traditional approach and the solution for it.

📢📢 𝐓𝐨𝐩 𝟏𝟎 𝐓𝐫𝐞𝐧𝐝𝐢𝐧𝐠 𝐓𝐞𝐜𝐡𝐧𝐨𝐥𝐨𝐠𝐢𝐞𝐬 𝐭𝐨 𝐋𝐞𝐚𝐫𝐧 𝐢𝐧 𝟐𝟎𝟐𝟒 𝐒𝐞𝐫𝐢𝐞𝐬 📢📢
⏩ NEW Top 10 Technologies To Learn In 2024 - https://www.youtube.com/watch?v=vaLXPv0ewHU

🔴 Subscribe to our channel to get video updates. Hit the subscribe button above: https://goo.gl/6ohpTV

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐎𝐧𝐥𝐢𝐧𝐞 𝐓𝐫𝐚𝐢𝐧𝐢𝐧𝐠 𝐚𝐧𝐝 𝐂𝐞𝐫𝐭𝐢𝐟𝐢𝐜𝐚𝐭𝐢𝐨𝐧𝐬

🔵 DevOps Online Training: http://bit.ly/3VkBRUT
🌕 AWS Online Training: http://bit.ly/3ADYwDY
🔵 React Online Training: http://bit.ly/3Vc4yDw
🌕 Tableau Online Training: http://bit.ly/3guTe6J
🔵 Power BI Online Training: http://bit.ly/3VntjMY
🌕 Selenium Online Training: http://bit.ly/3EVDtis
🔵 PMP Online Training: http://bit.ly/3XugO44
🌕 Salesforce Online Training: http://bit.ly/3OsAXDH
🔵 Cybersecurity Online Training: http://bit.ly/3tXgw8t
🌕 Java Online Training: http://bit.ly/3tRxghg
🔵 Big Data Online Training: http://bit.ly/3EvUqP5
🌕 RPA Online Training: http://bit.ly/3GFHKYB
🔵 Python Online Training: http://bit.ly/3Oubt8M
🌕 Azure Online Training: http://bit.ly/3i4P85F
🔵 GCP Online Training: http://bit.ly/3VkCzS3
🌕 Microservices Online Training: http://bit.ly/3gxYqqv
🔵 Data Science Online Training: http://bit.ly/3V3nLrc
🌕 CEHv12 Online Training: http://bit.ly/3Vhq8Hj
🔵 Angular Online Training: http://bit.ly/3EYcCTe

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐑𝐨𝐥𝐞-𝐁𝐚𝐬𝐞𝐝 𝐂𝐨𝐮𝐫𝐬𝐞𝐬

🔵 DevOps Engineer Masters Program: http://bit.ly/3Oud9PC
🌕 Cloud Architect Masters Program: http://bit.ly/3OvueZy
🔵 Data Scientist Masters Program: http://bit.ly/3tUAOiT
🌕 Big Data Architect Masters Program: http://bit.ly/3tTWT0V
🔵 Machine Learning Engineer Masters Program: http://bit.ly/3AEq4c4
🌕 Business Intelligence Masters Program: http://bit.ly/3UZPqJz
🔵 Python Developer Masters Program: http://bit.ly/3EV6kDv
🌕 RPA Developer Masters Program: http://bit.ly/3OteYfP
🔵 Web Development Masters Program: http://bit.ly/3U9R5va
🌕 Computer Science Bootcamp Program: http://bit.ly/3UZxPBy
🔵 Cyber Security Masters Program: http://bit.ly/3U25rNR
🌕 Full Stack Developer Masters Program: http://bit.ly/3tWCE2S
🔵 Automation Testing Engineer Masters Program: http://bit.ly/3AGXg2J
🌕 Python Developer Masters Program: https://bit.ly/3EV6kDv
🔵 Azure Cloud Engineer Masters Program: http://bit.ly/3AEBHzH

🔴 𝐄𝐝𝐮𝐫𝐞𝐤𝐚 𝐔𝐧𝐢𝐯𝐞𝐫𝐬𝐢𝐭𝐲 𝐏𝐫𝐨𝐠𝐫𝐚𝐦𝐬

🔵 Post Graduate Program in DevOps with Purdue University: https://bit.ly/3Ov52lT

🌕 Advanced Certificate Program in Data Science with E&ICT Academy, IIT Guwahati: http://bit.ly/3V7ffrh

🔵 Advanced Certificate Program in Cloud Computing with E&ICT Academy, IIT Guwahati: https://bit.ly/43vmME8

🌕Advanced Certificate Program in Cybersecurity with E&ICT Academy, IIT Guwahati: https://bit.ly/3Pd2utG


📌𝐓𝐞𝐥𝐞𝐠𝐫𝐚𝐦: https://t.me/edurekaupdates
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📌𝐂𝐚𝐬𝐭𝐛𝐨𝐱: https://castbox.fm/networks/505?country=IN
📌𝐌𝐞𝐞𝐭𝐮𝐩: https://www.meetup.com/edureka/
📌𝐂𝐨𝐦𝐦𝐮𝐧𝐢𝐭𝐲: https://www.edureka.co/community/


Please write back to us at sales@edureka.co or call us at IND: 9606058406 / US: +18338555775 (toll-free) for more information.