Перейти к содержимому

My favorite way to compute Pi....experimentally!

Dr. Trefor Bazett

0:00 / 0:00

My favorite way to compute Pi....experimentally!

16 922 просмотра · 3 г. назад
Dr. Trefor Bazett
625 тыс. подписчиков
16 922 просмотра · 3 г. назад
Check out more pi approximation in this Maple Learn document: https://learn.maplesoft.com/d/OLPIBQF... My thanks to ‪@maplesoft‬ for sponsoring today's video! Buffon's problem is an experimental way to compute pi. Drop a bunch of toothpicks on a paper with equally spaced lines. Then pi is nothing but 2 divided by the probability that the toothpick lands on the line (when the spacing is the same length as the toothpick). In this video we'll see precisely why this is the case and check out a few other famous pi equations. 0:00 Pi Experiment 0:58 Driving the formula 6:07 Dealing with arbitrary widths 7:49 Pi approximations in Maple Learn Check out my MATH MERCH line in collaboration with Beautiful Equations ► COURSE PLAYLISTS: ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   ►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...   ► CALCULUS II:    • Calculus II (Integration Methods, Series, ...   ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus (Vect...   ►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line Integra...   ►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)   ►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs   ►GAME THEORY:    • Game Theory   OTHER PLAYLISTS: ► Learning Math Series    • 5 Tips To Make Math Practice Problems Actu...   ►Cool Math Series:    • Cool Math Series   BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS I LOVE (affilliate link): ► https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based):   / treforbazett   ►Instagram (photography based):   / treforphotography