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Why Computers are Bad at Algebra | Infinite Series

2017-07-21

[public] 378K views, 10.5K likes, 684 dislikes audio only

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The answer lies in the weirdness of floating-point numbers and the computer's perception of a number line.

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Previous Episode

Making Probability Mathematical

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Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Mike Petrow

Made by Kornhaber Brown (www.kornhaberbrown.com)

Resources:

Random ASCII

https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/

Special thanks to Professor Alex Townsend

In 1994, Intel recalled - to the tune of $475 million - an early model of their Pentium processor after they discovered it was making arithmetic errors. Arithmetic mistakes - like the one Intel’s Pentium processors were making - are often rooted in computer’s unusual version of the real number line.

Comments answered by Kelsey:

Neroox05

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Joshua Sherwin

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Joshua Hillerup

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Making Probability Mathematical | Infinite Series by PBS Infinite Series
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64 bit number (floating point)
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Making Probability Mathematical | Infinite Series 135,685 views
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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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