VERY HARD Puzzle: What Is The Distance Between Two Random Points In A Square?
541
by Super User, 1 year ago
Blog post
http://wp.me/p6aMk4FA
Simulation
https://docs.google.com/spreadsheets/d/1ZPnDOQlncgPZsLKeYXqKDNL93RUFTqypot4EY9h61w/edit?usp=sharing
Sources and further reading
Quadruple integral
http://math.stackexchange.com/questions/1254129/averagedistancebetweentworandompointsinasquare
Difference of two uniform variables
http://www.math.wm.edu/~leemis/chart/UDR/PDFs/StandarduniformStandardtriangular.pdf
Difference of two uniform variables and solving the double integral
https://www.quora.com/HowcanIcalculatethemeandistanceoftwopointsplacedatrandominaunitsquare
Solving the double integral
http://math.stackexchange.com/questions/1294800/averagedistancebetweentworandomlychosenpointsinunitsquarewithoutcalc
Mean distance polar coordinates change
http://www.mathpages.com/home/kmath324/kmath324.htm
Integral secant cubed
https://en.wikipedia.org/wiki/Integral_of_secant_cubed
Mean distance square
http://mathworld.wolfram.com/SquareLinePicking.html
Thanks to Patrons! A video like this takes a lot of research and you guys make it possible.
Kyle
Alberto Nishikawa
Brian M. Mooney
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 on whichever method is most convenient for you.
My Blog: http://mindyourdecisions.com/blog/
Twitter: http://twitter.com/preshtalwalkar
Facebook: https://www.facebook.com/pages/MindYourDecisions/168446714965
Google+: https://plus.google.com/108336608566588374147/posts
Pinterest: https://www.pinterest.com/preshtalwalkar/
Tumblr: http://preshtalwalkar.tumblr.com/
Instagram: https://instagram.com/preshtalwalkar/
Patreon: http://www.patreon.com/mindyourdecisions
Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r
My Books
"The Joy of Game Theory" shows how you can use math to outthink your competition. (rated 4/5 stars on 22 reviews) http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decisionmaking and offers techniques to make smart decisions. http://amzn.to/1o3FaAg
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" is a sequel book with more great problems. http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" is the third in the series. http://amzn.to/1NKbGlp
"40 Paradoxes in Logic, Probability, and Game Theory" contains thoughtprovoking and counterintuitive results. (rated 4.9/5 stars on 7 reviews) http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. http://amzn.to/XRm7M4

Super User uploaded a new media, VERY HARD Puzzle: What Is The Distance Between Two Random Points In A Square?
1 year ago