How Big Does 'Tetration' Make Numbers?... #shorts

#shorts #short #exponent #exponents #exponentiation #tetration #numbers #math #huge #big #large #number #mathematics

Combo Class is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is the SHORTS channel for faster-paced videos. Make sure you're also subscribed to the main Combo Class channel where full episodes go!

DISCLAIMER: any use of fire, tools, or other science experiments in this series is always done in a safe and professional way. Do not try to copy any actions you see in this series yourself.

[Domotro]

Check out my full episode about Tetration and FURTHER levels like Pentation here:

[LowLevelLemmy]

This guy has got to know all the numbers

[Permanent_LongGone]

Tetration: Repeated exponantiation

Pentation: Repeated tetration

Hexation: Repeated pentation

[Wrenosaur_]

I tried to "invent" this without knowing it existed back in high school. I called them superpowers.

[Sieni]

Makes me wonder if there's any real-life example in nature/physics of a phenomenom that would exhibit tetratial (or however that's spelled) growth. Would be really interesting to hear 🤔

[Loknath-Youtube]

have thought of it, but never knew something is there like this. these kinda things math is fun..

[carito]

I'm so happy I found this channel yesterday. Maths and I don't get along too well but I love this guy and the way he teaches maths

[binethgarusingha]

U make math fun bro thank you, you made my day

[justafanofalphabetlore]

Few ways are possible to extend infinite tetration. For that we can take series for exp(z). And other things consisting to let the theta function that approx. 0. Schröder equations or Fatou coordinates. Unfortunately they citing the (different) function to guess an exact form. But noted the lambda function approaches the inverse value for the diff. a function which is noted a(f(z)) = a(z)+1. There can be found by defining by a differentiation and fixed points. That’s all.

[Qbe_Root]

Okay but these are 1 tetrated by 1, 2 tetrated by 2, 3 tetrated by 3, 4 tetrated by 4 and 5 tetrated by 5, just like 3 * 3 is 3 multiplied by 3. 3 multiplied 3 times is 3^3 so 3 tetrated 3 times would be a level beyond, like... pentation?

[stephylynnpatch]

This guy is a basement and a beaker away from mad scientist 😂 and I love it

[repton]

Of course, you can go further .. pentation, etc .. (↑↑↑), even 2↑↑↑↑2 breaks Excel!! The up-arrows are called “Knuth's up-arrow notation”, and this has led to Graham’s Number, one of the most famous super-large named numbers. Graham's Number, g64, is so large that even if each digit therein occupied a space equal to Planck’s unit of volume (4.2×10^−105 m3, i.e., 2.4x10^101 digits per litre), there is not enough space in the observable universe to contain them. And that's just the number of digits, not its actual value; think on that ..

[abstractreg]

5 tetrated with itself in base googleplex (where we have a different symbol for each of the first googleplex of numbers), would still have way more than a googleplex of digits.

[christopherwellman]

I saw a video about tetration, but my phone froze up before I could click on it, so I had to close YouTube and search it after I opened YT back up and am glad I saw this channel's version instead. Good stuff

[dragonslayer]

after tetration you have pentation, and after pentation you have hexation.

[alansmithee]

There's actually an infinite number of these "hyperoperators" each of which is the previous repeated. (e.g. pentation is repeated tetration etc)
Interestingly, this does not mean that you can outgrow any other function by simply using a high enough hyperoperator. Graham's G function (where G(64) = Graham's number) outgrows the entire infinite set of functions.

[StNashable]

Cool. I was thinking about that the other time.

[randomdisplayname]

My man would crush it on the speed dating circuit

[mustafashah]

Hi @Combo Class Bonus can you do a video on, how to count number of digits in n! ( factorial) with actually calculating the factorial.

[effyjonz]

I literally have to trust you on this one bro