Tetration: The operation you were (probably) never taught

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 re-uploaded 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).

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

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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  

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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. :)

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Patreon:
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Facebook:
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Twitter:
@TheTaylorSeries

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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