A Bundle of Thoughts

Wobbly Tables and Windmills

I describe a mathematician's solution to a wobbly cafe table with a splash about 3 bladed windmills. Additional Readings and sources: Intermediate Value Theorem: https://en.wikipedia.org/wiki/Intermediate_value_theorem History of Wobbly table theorem: https://www.maa.org/external_archive/devlin/devlin_02_07.html Harvard's explanation of WTT: http://www.math.harvard.edu/~knill/teaching/math1a_2011/exhibits/wobblytable/ Wobbly Table Mathologer Video: https://www.youtube.com/watch?v=aCj3qfQ68m0&t Wobbly Table Numberphile Video: https://www.youtube.com/watch?v=OuF-WB7mD6k Catastrophic windmill due to speed increase: https://youtu.be/wfzgIxMEo8g?t=27 Windmills explained in video great explanation by a great channel: https://www.youtube.com/watch?v=RNPIRfxUTQ4

Nash Equilibriums

I explain Nash Equilibriums, a type of solution from non-cooperative game theory. Further reading and reference: Nash Equilibrium on Wikipedia: https://en.wikipedia.org/wiki/Nash_equilibrium John Nash on Wikipedia: https://en.wikipedia.org/wiki/John_Forbes_Nash_Jr. Non-cooperative Game Theory on Wikipedia: https://en.wikipedia.org/wiki/Non-cooperative_game_theory Pareto Efficiency on Wikipedia: https://en.wikipedia.org/wiki/Pareto_efficiency Spaniel, Game Theory 101, 2012: https://www.youtube.com/watch?v=0i7p9DNvtjk SciShow, Game Theory, 2016: https://www.youtube.com/watch?v=MHS-htjGgSY

Moore's Law

Moore's Law is the observation of how quickly computer increase in speed.

#2 Optimal Stopping

I talk through the basics of optimal stopping and a few of its use cases.