Math

Famously beautiful, the Mandelbrot Set is all about complex numbers. Featuring Dr Holly Krieger from MIT. More links & stuff in full description below ↓↓↓ The next part is on Numberphile2 at: http://youtu.be/oCkQ7WK7vuY Animation courtesy of team fresh. Check out more at: http://hd-fractals.com — Music: Alan Stewart. Support him at http://bit.ly/1sdwTHF More videos with Holly
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Banks, Facebook, Twitter and Google use epic numbers – based on prime factors – to keep our Internet secrets. This is RSA public-key encryption. More links & stuff in full description below ↓↓↓ Gold Vault: https://youtu.be/CTtf5s2HFkA This video features Dr James Grime (http://singingbanana.com/). Message from James: “Thanks to Dr Chris Hughes of the University of
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We’re talking pretty big numbers here… And an interesting idea about what it’d be like traveling in a Googolplex-sized Universe! More links & stuff in full description below ↓↓↓ With Antonio (Tony) Padilla and Ria Symonds from the University of Nottingham. About the brown paper: http://periodicvideos.blogspot.com/2012/02/brown-paper-question.html NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets:
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You have a full 12 liter jug and empty 5 and 8 liter jugs. Can you measure exactly 6 liters? This problem dates to 1484 and was posed in the context of a milkman making a home delivery to a customer. The story goes this riddle so delighted Simeon Denis Poisson as a young boy
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Ron Graham explains the number which takes his name… More links & stuff in full description below ↓↓↓ Graham’s Number (Numberphile T-Shirt): http://bit.ly/Grahams_T-Shirt See him discuss how big it is: http://youtu.be/GuigptwlVHo Extra footage here: http://youtu.be/rGWuimr5CGQ And our original Graham’s Number video: http://youtu.be/XTeJ64KD5cg Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile
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You can multiply two numbers if you know how to double, halve, and add up numbers. This is really interesting: basically the Egyptians were using binary multiplication! Watch the video to see how it works. READ why this method works: http://mindyourdecisions.com/blog/2014/08/27/the-egyptian-method-russian-peasant-multiplication-video-and-a-proof/#.U_5I5vldV8E WATCH how ancient Egyptians divided numbers: https://www.youtube.com/watch?v=bKqQGISplMo This method is documented in the Rind
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Fermat’s “Little” Theorem is great – but beware of Fermat Liars and tricky Carmichael Numbers. More links & stuff in full description below ↓↓↓ Continues at: http://youtu.be/HvMSRWTE2mI Featuring Dr James Grime – https://twitter.com/jamesgrime 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
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A million digits of Pi on one piece of paper (1.05 miles). More links & stuff in full description below ↓↓↓ More about how and why: http://youtu.be/99Welatppzk More Pi videos from Numberphile: http://bit.ly/PiPlaylist Film by Brady Haran Our thanks to HP and HSA Systems. Extra special thanks to Hugh McPartlan, Torben Dam Jensen, Jesper Hyldager
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What is the value of x= 1/(1 + 1/(1 + 1/(1 + …)))? This continued infinite fraction has an interesting value! If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me
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The State of Indiana nearly passed a law which would have made Pi equal 3.2 – strange but true. More links & stuff in full description below ↓↓↓ More Pi videos from Numberphile: http://bit.ly/W4oDN1 This video features Dr James Grime – https://twitter.com/jamesgrime The video about squaring circles: https://www.youtube.com/watch?v=CMP9a2J4Bqw A note to potentially disgruntled viewers about
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A bit about zero – including a discussion of its even-ness!? More links & stuff in full description below ↓↓↓ Featuring Dr James Grime (https://twitter.com/jamesgrime) and Professor Roger Bowley (University of Nottingham). 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 subreddit: http://www.reddit.com/r/BradyHaran/ Brady’s
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The 80/20 rule or Pareto principle comes up a lot in economics and business. But why does this pattern emerge? I show why using a paper clip experiment. Note: VSauce later made a video about Zipf’s law that uses this same experiment but does the math incorrectly. The long tail should be for the single
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This is the higher quality version of how to multiply numbers by drawing lines. Get the Multiply By Lines Book! http://amzn.to/XRm7M4 If you like my videos, you can support me at Patreon: https://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me
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Featuring Tadashi Tokieda – more Tadashi videos at: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Tadashi Tokieda is a Professor of Mathematics at Stanford University (though this was filmed when he was at Cambridge, in the UK). Animation by Pete McPartlan. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
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Why squaring the circle – the old-fashioned way – was found to be impossible? Numblr: http://numberphile.tumblr.com/ More links & stuff in full description below ↓↓↓ This video featuring Dr James Grime: https://twitter.com/jamesgrime The paper from this video on ebay – http://bit.ly/brownpapers 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
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A number so epic it will collapse your brain into a black hole! Yet Tony Padilla and Matt Parker take the risk of discussing its magnitude. Watch with caution. More links & stuff in full description below ↓↓↓ See also our video about the Googol and Googolplex at: http://www.youtube.com/watch?v=8GEebx72-qs More about Matt and Tony at:
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Dr James Grime discusses a type of number beyond the complex numbers, and why they are useful. Extra footage: https://youtu.be/ISbJ9S0fzwY 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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This video gives a method to convert decimal numbers to binary numbers quickly. This is a variation of the remainder system that is typically taught in courses. I like this method because it gives the answer in the correct order from left to right. Proof of why it works: http://math.stackexchange.com/questions/86207/converting-decimalbase-10-numbers-to-binary-by-repeatedly-dividing-by-2 I also give a proof
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