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Tetration: The operation you were (probably) never taught

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The Taylor Series

We've all done addition and multiplication, and maybe even exponentiation. But what comes after? Is there more?

In this episode, we look into Tetration, a fun example of how a pattern that had been sitting right under your nose for a very long time might be explored!

Note: This is a reuploaded video after fixing an issue pointed out by a user. Thanks again for the correction!

Yet another note: Holy mackrel I love you guys. There's yet ANOTHER minor detail I goofed up; it should be 1.9*10^2184, not 1.9*10^2185. Typos are a thing (see: the dangling parenthesis hidden somewhere in the video).



Previous Video:    • The Complex Numbers: A Wild idea  
Next Video:    • Inverse Operations  



Confused? Maybe one of the following tidbits will help! (This list is a work in progress; there will be more to come later)

Addition of Naturals:    • Tidbit: How to add two Natural Numbers  
Multiplication of Naturals:    • Multiplication of Natural Numbers  



The Taylor Series aims to teach math. Whether you're a student in a math class or someone who has ever asked the question, "What was the big deal about Calculus?" there's something here for you.

I am aiming to have one new video up every month. I hope you enjoy them!

Also, I named this the Taylor Series after the mathematical construct created by James Gregory and formally introduced by Brook Taylor ... and I picked this one in particular because my name is Derrick Taylor. :)



Patreon:
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Facebook:
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Twitter:
@TheTaylorSeries



Music Credits (from AudioBlocks):

Intro music: Thinking by Patrick Smith
Main background music: Island Fun by Neil Cross
Sad piano music: Beautiful Piano by an uncredited musician on AudioBlocks
Outro music: Midnight City Lights by Neil Cross

posted by xo09rielmg