MENU

Fun & Interesting

Solving An Insanely Hard Problem For High School Students

MindYourDecisions 3,746,215 6 years ago
Video Not Working? Fix It Now

Olympiad problems are challenging for most of us. But this one was considered "easy" for the students taking the test! (The oldest students are in high school, but have also been 13 year old students who have taken the test and gotten a gold medal). Thanks to all patrons! Special thanks to: Michael Anvari, Richard Ohnemus, Shrihari Puranik, Kyle. Get early access to puzzles! Support with a pledge on Patreon: http://www.patreon.com/mindyourdecisions Sources https://www.imo-official.org/problems.aspx https://www.imo-official.org/year_individual_r.aspx?year=2019&column=total&order=desc https://artofproblemsolving.com/community/c6h1876068 https://mathproblems123.wordpress.com/2019/07/18/imo-2019-problem-1/ https://www.youtube.com/watch?v=QVIdKRNvxxA Quote http://mathforum.org/library/drmath/view/53922.html Further reading https://en.wikipedia.org/wiki/Cauchy%27s_functional_equation https://mathoverflow.net/questions/53431/does-any-research-mathematics-involve-solving-functional-equations https://academia.stackexchange.com/questions/86451/does-the-international-math-olympiad-help-research-mathematics Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can't always reply! Why are some comments before the video is published? Get early access and support the channel on Patreon https://www.patreon.com/mindyourdecisions If you buy from the links below I may receive a commission for sales. This has no effect on the price for you. Show your support! Get a mug, a t-shirt, and more at Teespring, the official site for Mind Your Decisions merchandise: https://teespring.com/stores/mind-your-decisions My Books Mind Your Decisions: Five Book Compilation https://amzn.to/2pbJ4wR A collection of 5 books: "The Joy of Game Theory" rated 4.1/5 stars on 44 reviews http://amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 3.5/5 stars on 4 reviews http://amzn.to/1o3FaAg "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.4/5 stars on 13 reviews http://amzn.to/1LOCI4U "The Best Mental Math Tricks" rated 4.7/5 stars on 8 reviews http://amzn.to/18maAdo "Multiply Numbers By Drawing Lines" rated 4.3/5 stars on 6 reviews http://amzn.to/XRm7M4 Mind Your Puzzles: Collection Of Volumes 1 To 3 https://amzn.to/2mMdrJr A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 13 reviews http://amzn.to/1GhUUSH "Math Puzzles Volume 2" rated 4.5/5 stars on 6 reviews http://amzn.to/1NKbyCs "Math Puzzles Volume 3" rated 4.1/5 stars on 7 reviews http://amzn.to/1NKbGlp Connect with me My Blog: https://mindyourdecisions.com/blog/ Twitter: https://twitter.com/preshtalwalkar Newsletter (sent only for big news, like a new book release): http://eepurl.com/KvS0r 2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.

Comment