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Can We Combine pi & e to Make a Rational Number? | Infinite Series

2017-04-13

[public] 215K views, 5.38K likes, 167 dislikes audio only

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Can you produce a rational number by exchanging infinitely many digits of pi and e?

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Hierarchy of Infinities

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Links to other resources:

Original Post from Math Overflow

http://mathoverflow.net/questions/265310/if-i-exchange-infinitely-many-digits-of-pi-and-e-are-the-two-resulting-num

Square Root of 2 is Irrational

http://www.mathsisfun.com/numbers/square-root-2-irrational.html

Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Made by Kornhaber Brown (www.kornhaberbrown.com)

Thanks to Joel David Hampkins and Erin Carmody for helpful comments.

Comments answered by Kelsey:

Circuitrinos

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​Brian Willett​

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PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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