Math

This challenging geometry problem appeared on one of the hardest math competitions (the Putnam exam), and there is a neat way to solve it! Thanks to all patrons! Special thanks this month to: Shrihari Puranik Kyle Professor X Richard Ohnemus Erik J. (for spotting multiple errors in my posts!) Sources https://mks.mff.cuni.cz/kalva/putnam/psoln/psol787.html https://iastate.app.box.com/s/r8zqykcivi84tftyy8j51uxo8j5l7no0 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Playlist
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John H Conway on his love/hate relationship with his most “famous” invention. More on how he invented it at: http://youtu.be/R9Plq-D1gEk More links & stuff in full description below ↓↓↓ Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute
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How many triangles are too many? Featuring Henry Segerman from Oklahoma State University. More links & stuff in full description below ↓↓↓ Check Henry’s book about 3D printing math: http://amzn.to/2cWhY3R More Henry videos: http://bit.ly/Segerman_Videos Henry’s hinged doilies were joint work with Geoffrey Irving (https://naml.us) Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:
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Steve Mould (tau) and Matt Parker (pi) go head-to-head. More links & stuff in full description below ↓↓↓ See our tau video: http://www.youtube.com/watch?v=83ofi_L6eAo And check our Pi videos: http://www.youtube.com/playlist?list=PL4870492ACBDC2E7C Matt Parker: http://www.standupmaths.com/ Steve Mould: http://www.stevemould.com/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady’s videos
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French numbers can pose problems for non-native speaker – especially when you move beyond 70. Also discussing problems with phone numbers and commas! More links & stuff in full description below ↓↓↓ Featuring Dr Paul Smith from the University of Nottingham. The French and marks out of 20: http://www.youtube.com/watch?v=QzrRkhU248A A little extra unlisted bit from
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A little extra trick based on some of the Mobius cutting videos we recently published. Featuring Tadashi Tokieda. More links & stuff in full description below ↓↓↓ MORE: http://bit.ly/tadashi_vids Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute
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Here’s the video everyone requested after the average distance in a square video. What’s the average distance of two points on a circle? Can you figure it out? Cleve Moler post – average distance two points in a square https://blogs.mathworks.com/cleve/2017/09/25/how-far-apart-are-two-random-points-in-a-square/ My video – average distance two points in a square Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Playlist to watch
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Hotelling’s game explains why gas stations are close to each other and why politicians appeal to the central voter during elections. Blog post (Hotelling’s game): http://wp.me/p6aMk-37 Blog post (applied to why Donald Trump gets so much media coverage): http://wp.me/p6aMk-4yA If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media.
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The Monster Group explained. More links & stuff in full description below ↓↓↓ Featuring John Conway (Princeton University) and Tim Burness (University of Bristol). Brown papers and Numberphile artwork: http://bit.ly/brownpapers More Conway on this topic: http://youtu.be/xOCe5HUObD4 And Conway on Game of Life, etc: http://bit.ly/JohnConway A little extra bit from Tim: http://youtu.be/MXKiih4JJvQ Support us on Patreon:
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Lacking proper equipment, two friends devise a way to measure how long the train is based on their walking steps. Can you solve for the length of the train? Thanks to Pedro for suggesting this problem! Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Playlist to watch all videos on MindYourDecisions: https://www.youtube.com/playlist?list=UUHnj59g7jezwTy5GeL8EA_g This is the only channel to feature math topics
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The tin asks: “What’s the biggest number you can make?” Sounds like a challenge! More links & stuff in full description below ↓↓↓ Ebay link: AUCTION OVER Fate of the spaghetti (not pleasant): http://youtu.be/tsbHenS5CUs Brady reads the whole number: http://youtu.be/uN2U9PQUGB0 The people at Heinz had nothing to do with his video – I just saw
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Dr James Grime discusses a couple of clever formulas which are pandigital – using all the numbers from 1-9. More links & stuff in full description below ↓↓↓ More on pandigital numbers: https://youtu.be/gaVMrqzb91w More on e: https://youtu.be/AuA2EAgAegE More James Grime videos: http://bit.ly/grimevideos Book James for a talk: http://jamesgrime.com The contest which gave us these formulas:
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L-Functions are likely to play a key role in proving the Riemann Hypothesis, says Professor Jon Keating from the University of Bristol. More links & stuff in full description below ↓↓↓ L-Function & Modular Form database: http://www.lmfdb.org Prime Number and Riemann Hypothesis playlist: http://bit.ly/primevids Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:
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Why number 1 is the “leading digit” more often than you may expect? More links & stuff in full description below ↓↓↓ See us test the law using Brady’s YouTube viewing figures at: http://youtu.be/VbtNy54ya9A Blog about all this at: http://bit.ly/benfordslaw Brown Paper from this video on ebay: http://bit.ly/brownpapers This video features Steve Mould: http://www.stevemould.com/ and
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Brady’s view on people who write: “FIRST” – http://youtu.be/CmRh9tFYC68 More links & stuff in full description below ↓↓↓ Dr James Grime on the Pisano Period – a seemingly strange property of the Fibonacci Sequence. Available Brown papers: http://periodicvideos.blogspot.co.uk/2013/09/brown.html With thanks to http://www.youtube.com/AlanKey86 James Grime on Twitter: https://twitter.com/jamesgrime The Alan interview: http://www.youtube.com/watch?v=acTrvMlpuxA Lagrange Points: https://www.youtube.com/watch?v=mxpVbU5FH0s NUMBERPHILE
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Tadashi Tokieda is back, this time with Moiré Patterns. More with Tadashi: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Out thanks also to our Patreon supporters, especially: Jeff Straathof Ken Baron Today I Found Out Roman Urbanovski Joanna & Mehdi Christian Cooper Peggy Y John Buchan Bill Shillito Andrzej ‘Yester’ Fiedukowicz Ripta
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What value is each letter? This is an incredible math problem with just a single solution! Can you figure it out? My blog post for this video https://wp.me/p6aMk-85e Websites consulted http://mathforum.org/library/drmath/view/60417.html https://en.wikipedia.org/wiki/Verbal_arithmetic#Solving_cryptarithms Playlist to watch all videos on MindYourDecisions This is the only channel to feature math topics suggested by people around the world. Support
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Check our sponsor The Great Courses Plus (free trial): http://ow.ly/j5cB30hIvm2 This video features Cliff Stoll. More links & stuff in full description below ↓↓↓ More Cliff Stoll videos: http://bit.ly/Cliff_Videos Buy a Klein Bottle from Cliff – it’s an experience: http://www.kleinbottle.com Discuss this video on Brady’s subreddit: https://redd.it/96x6c4 Numberphile is supported by the Mathematical Sciences Research
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