Channel: PBS Infinite Series

Category: Education

Tags: infinite seriescountable infinityeducationtheoreticalappliedinfiniteinfinite bridgecalculusuncountable infinityseriesscienceharmonic seriesmathbridgeartsbook stacking problemmathematical

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi Using the harmonic series we can build an infinitely long bridge. It takes a very long time though. A faster method was discovered in 2009. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Hacking at Quantum Speed with Shor’s Algorithm youtube.com/watch?v=wUwZZaI5u0c Additional Resources: Overhang article:: maa.org/sites/default/files/images/upload_library/22/Robbins/Patterson1.pdf Maximum overhang article:: maa.org/sites/default/files/pdf/upload_library/22/Robbins/Patterson2.pdf Physical limitations:: quantamagazine.org/20161117-overhang-insights-puzzle mathworld.wolfram.com/BookStackingProblem.html There’s actually more than one way to build an infinitely long bridge. The traditional method is shown in many calculus classes but a super-fast method of building this bridge was demonstrated by two mathematicians in 2009. Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (kornhaberbrown.com) Comments answered by Kelsey: MultiMurmaider youtube.com/watch?v=wUwZZaI5u0c&lc=z12sergyhwjzv5zhx04cfj5akpqbhnjargc Marhsall Webb youtube.com/watch?v=wUwZZaI5u0c&lc=z13cwnehjmjgfdpfx23dzjwbczayvh41v 10TinsThought youtube.com/watch?v=wUwZZaI5u0c&lc=z13cwnehjmjgfdpfx23dzjwbczayvh41v