I'll give you credit for the creativity. If tetrations weren't so useless, this would probably be a good notation, but given that some math teachers even never heard of tetrations talks about how useless they really are. They're rarely ever used, and exponential combined with tetration is not something as useful. I like the notation symbol, it is unique, and creative, but the idea itself not so unique. Take for example: ³(2²), this can be written as ³4 = 4^(4⁴), same for (³2)², it's the same as (2^(2²))² = ⁴2. Great notation, but in application, quite useless as tetration is also useless.
This introduces geometric combinatorial limits with the whole curved line thing as there is only room for tetration, plus there is Knuth's up-arrow notation which is already a perfect notation, "if it ain't broke, don't fix it".
The problem with this notation is that it’s incredibly specific. Like, it has such a niche use that regardless of its quality it could never become commonplace unless combining tetration and exponentiation suddenly become super useful
I honestly have no idea of it’s implications. I just made it up in 7th grade and kept it to that. But it’s a stroke less than using parenthesis :S (if that really matters).
Because higher-order operations get precedence, tetration is implicitly done before exponentiation, thus ²x³ is already (²x)³ without ambiguity. The other form, ²(x³), risks looking like the a'th root of x^b in your notation.
I understand. The ~ is the to separate the exponent and the tetration. And maybe if you put the ~ backwards, you might get (x^^a)^b. But the tetration is a very uncommon notation and lots of people doesn't even know it. I refer that notation for x^(a/b) instead
Thanks for the feedback everyone, it was helpful. The reason for this notation is to simplify the notation even further from 2 strokes to 1 stroke. I’ll try to make another video making a nicer notation (that looks like the modern font used in math).
I think that notation is good when it's coherent. Not when it's easier to write down. The notation for a subset for example could also be like three dots in a row but it wouldn't be coherent with the notation for a set and an "is equal to". It's a fun idea but it's not very efficient, especially when you consider that math should be as simple to understand as possible, since it is a language and the following generations will have to learn it.
As a person with a math level equivalent to algebra 2 and basic statistics for marketing, this looks interesting. I don’t get it, don’t know what I could do with it, don’t even know why we have to write the ~ but it is interesting. Math people be a whole other level.
This is for distinguishing exponentiation from tetration, which is some niche operation. It’s essentially to exponentiation what exponentiation is to multiplication. If you had two tetrated to three you’d have 2^2^2^2, which comes out to 65536. Three tetrated to three gives a number too large for most calculators. The numbers get very large very fast and there aren’t many applications so you won’t see it outside of pure math.
It’s just an invented function involving tetration. So it is possible to solve the tetration problem with equation systems. That leads to a finite sum but get a good approach like that. tet_2(1) = 1+z+y =2. tet_2(2)= 1+2z+4y = 8 and tet_2(-1) = 1-z+y = 0. This excellent approach lead me to get any points of tetration without to calculate with complex methods (and unfortunately fails).
Using your notation, how would I write: ((2^x)^5)^2 (you can plug this into Desmos by the way). ------------------------------------------------------------------------------- And, how would I write this: 2^x^5^2 (Or you could also plug this into Desmos): 2^{x^{5^{2}}}
@@davidmunteanu2387ok quick recap tetra means 4 addition, the first operation, is repeated counting multiplication, the second operation, is repeated addition exponent(iation), the third operation, is repeated multiplication TETRAtion, the fourth operation, is repeated exponentiation, written in many different ways since people can’t decide. it’s not a particularly practical one, as numbers grow way too fast to the point where it’s incalculable on most modern computers, but here, it’s written as a^x, where x is the base.
the little number on the left is something called "tetration." you know how multiplication is just repeated addition? like how 2*3=2+2+2. and exponents are like repeated multiplication, so 2^3 is 2*2*2. tetration is repeated exponents. so ⁿ2 (sorry, n is the only superscript i have on my keyboard) would be 2^2^2^...^2, n times (if you're wondering if this is done left-to-right or right-to-left, the usual way people do it is right to left, so like, the third tetration of 2, would be 2^(2^2) instead of (2^2)^2. this guy is just making new symbols to more easily write down a combination of exponents and tetration. the first one, ⁿ(x^a), equals (x^a)^(x^a)^...^(x^a), n times. the second one, (ⁿx)^a, is (x^x^...^x)^a, where there are n x's. also in my opinion people mostly don't like math because schools suck at teaching interesting math. i think the best video to get into the really interesting math is a video called Hackenbush, look it up. it's a video about the math that studies two-player, turn-based games, but you'd barely even know its math until he starts getting into the logic behind it. i promise it's good
@@wyboo2019 I appreciate the effort you took to type this out, I simply take it that tetration simply reverses 2^6 (2x2x2x2x2x2) into 6 being a smaller number to the left (6^2) which still gives 2x2x2x2x2x2, I do not really understand what is the use of it but I guess it is just there just like mostly anything that is there in math. and yes I agree people who grew up not liking math is because it is really difficult to teach it especially to multiple different students or maybe the child might just get uninterested which is me, I usually find solving equations fun when I really know how to and my teacher actually tries to explain how to, but there is bad days where my brain shuts for thinking way tooo much on a problem and I am damn near giving up. I will probably look into the video for the heck of it but I won't raise my hopes of knowing any better
@@kiilee5963nah actually. 2^6 (2⁶) is your general exponents. Not the same as ⁶2 like the user above has explained. One is 2*2....*2 6 times while the other is 2^2^.... ^2 6 times ( 2 raised to itself that is ). ⁶2 is a lot greater than 2⁶
@@sadkritx6200 Alright thanks for clarifying, my head went to another dimension. 2^6 would be 2x2x2x2x2x2 while in tetration 6^2 (the six being on the left side) would mean the two would be raised six times (2^2^2^2^2^2) which would eventually in fact...give a way greater number.
I don't like it if I'm being honest
no.
I'll give you credit for the creativity. If tetrations weren't so useless, this would probably be a good notation, but given that some math teachers even never heard of tetrations talks about how useless they really are. They're rarely ever used, and exponential combined with tetration is not something as useful. I like the notation symbol, it is unique, and creative, but the idea itself not so unique. Take for example: ³(2²), this can be written as ³4 = 4^(4⁴), same for (³2)², it's the same as (2^(2²))² = ⁴2. Great notation, but in application, quite useless as tetration is also useless.
(2^(2^2))^2 ≠ 4th tetration of 2
first one is 16^2, second one is 2^16
This introduces geometric combinatorial limits with the whole curved line thing as there is only room for tetration, plus there is Knuth's up-arrow notation which is already a perfect notation, "if it ain't broke, don't fix it".
sin^2 and cos^2: am i a joke to you?
10/10 recommend watching this while taking a dump
RIGHT HERE!!!!
Can I have $$$19999999 dollars pleasesee
That one jobless friend:
The problem with this notation is that it’s incredibly specific. Like, it has such a niche use that regardless of its quality it could never become commonplace unless combining tetration and exponentiation suddenly become super useful
looks good but it's useless
where could this be used tho ? i’ve never seen tetration be used in any useful problem
cool concept tho
I honestly have no idea of it’s implications. I just made it up in 7th grade and kept it to that. But it’s a stroke less than using parenthesis :S (if that really matters).
Could be mistaken for a square root symbol, but more importantly, the original wasn't bad at all so it doesn't need to be revised or fixed.
DONT LET BRO COOK EVER AGAIN 🗣🗣🗣🥶
FR
toxic
BRO TRIED TO COOK AND ACCIDENTALLY PROVED RIEMANN'S HYPOTHESIS🗣️🔥🔊
Tetration isn't used commonly, so if you want to use tetration this way I doubt many would be too opposed.
3 years later the guy who recorded it will drop a proof tor the riemann's hypothesis using this notation
@@uwuowo7775And it turns out that every subsequent discovery in math just couldn’t be explained by our bad notation.
@@isaak3680 which totally makes sense tbh
why would you ever need to tetrate an exponent? much less tetrate in general
Not bad honestly...
If I mind to do a new notation proposal, I would do it with the inverted root for logarithms.
what's the point of making new notation for tetration which is already very scarcely used
Fun
My boredom in school lead to its creation.
It keeps the loonies of the streets.
I genuinely thought that was for integration.
same
I think this would work better some something like integration, but the elongated S could never be beat.
What are you cooking😭🤣🤣🤣
Tetration is already confusing to newcomers. Please dont make it worse😭🤣🤣🤣🤣🤣🤣
he's disambiguifying which operator comes first when you have tetration mixed with exponents
up arrow >>>>
Carrot ^^^^
That's just teteration with exponentiation. If teteration is useless, this also HAS to be useless.
ITs not just useless, its useless squared
@@IIAOPSW IT's not just useless squared, it's useless teterated to 2
Why would you need special notation for a combination of exponentiation and tetration?
Why wouldn't
There's not much of a difference though, and would just confuse ppl who have already learnt it in the standard way
Because higher-order operations get precedence, tetration is implicitly done before exponentiation, thus ²x³ is already (²x)³ without ambiguity. The other form, ²(x³), risks looking like the a'th root of x^b in your notation.
tetration notation
He's tetering on the brink of insanity.
But why
I understand. The ~ is the to separate the exponent and the tetration. And maybe if you put the ~ backwards, you might get (x^^a)^b. But the tetration is a very uncommon notation and lots of people doesn't even know it. I refer that notation for x^(a/b) instead
Good idea, but useless
No.
>disabled by owner
cope.
The lunatic is on the grass...
I wanted to make a Pink Floyd joke but I got nothing
Thank you UA-cam algorithm.
Thanks for the feedback everyone, it was helpful. The reason for this notation is to simplify the notation even further from 2 strokes to 1 stroke. I’ll try to make another video making a nicer notation (that looks like the modern font used in math).
That would be very good.❤️
This is genius
I think that notation is good when it's coherent. Not when it's easier to write down. The notation for a subset for example could also be like three dots in a row but it wouldn't be coherent with the notation for a set and an "is equal to". It's a fun idea but it's not very efficient, especially when you consider that math should be as simple to understand as possible, since it is a language and the following generations will have to learn it.
if it ain't broke then don't fix it
Keep using until it gets mainstream 🎉
I think exponents are just backwards. Exponent then base, not base then exponent. The inverse, logarithm, remains base then exponent.
As a person with a math level equivalent to algebra 2 and basic statistics for marketing, this looks interesting. I don’t get it, don’t know what I could do with it, don’t even know why we have to write the ~ but it is interesting. Math people be a whole other level.
This is for distinguishing exponentiation from tetration, which is some niche operation. It’s essentially to exponentiation what exponentiation is to multiplication. If you had two tetrated to three you’d have 2^2^2^2, which comes out to 65536. Three tetrated to three gives a number too large for most calculators. The numbers get very large very fast and there aren’t many applications so you won’t see it outside of pure math.
Nice. For an encore, do you take requests? Can you apply a super-curvature equation that uses tetration instead of exponentiation?
it doesn't really fit in with the othr symbols
It’s just an invented function involving tetration. So it is possible to solve the tetration problem with equation systems. That leads to a finite sum but get a good approach like that. tet_2(1) = 1+z+y =2. tet_2(2)= 1+2z+4y = 8 and tet_2(-1) = 1-z+y = 0. This excellent approach lead me to get any points of tetration without to calculate with complex methods (and unfortunately fails).
useless tbh
What about multiple tetration and exponent?
Kinda like it, might start using it
what would the LaTeX form be?
It would be white ,milky and rubbery and bounce higher than where it was dropped from.
@@jonathanlister5644 ????
@@TheProGamerMC20 hes talking about the rubber latex instead of the typeset latex
@@joshdeconcentrated2674bruh
@@jonathanlister5644typewriter LaTeX?
tetration?
Mathematicians take note 👀
let’s stick to parenthesis
wtf did i just watch. i dont like what i see
nah bruh im good
Approved
makes sense i like it
wouldnt work since teteration is a thing
Using your notation, how would I write:
((2^x)^5)^2
(you can plug this into Desmos by the way).
-------------------------------------------------------------------------------
And, how would I write this:
2^x^5^2
(Or you could also plug this into Desmos):
2^{x^{5^{2}}}
Accepted.
What's that even for? Tetration?
Im here dont woy
no
Here before it got famous
Left & right induction, mostly electronic I think, trying to find density.. Oh well, non to be found here.
David😊
I approve it.
Good
Nah
tetration?
(the first example on the left side of the equals sign)
what does it do?
@@davidmunteanu2387ok quick recap
tetra means 4
addition, the first operation, is repeated counting
multiplication, the second operation, is repeated addition
exponent(iation), the third operation, is repeated multiplication
TETRAtion, the fourth operation, is repeated exponentiation, written in many different ways since people can’t decide. it’s not a particularly practical one, as numbers grow way too fast to the point where it’s incalculable on most modern computers, but here, it’s written as a^x, where x is the base.
just use up arrows and down arrows dammit
2 strokes per arrow while my notation uses 1
Hi.
@@table5584borrow the harpoon from chemistry, then it's just one stroke.
@@table5584 solution 2: Nobody says you have to draw arrows like that.
Just use a bit of overlap.
huh?
Random fact: 10^sqrt(10) = Approximately 1,453.0403
eh alr
Identity bro
As a senior in high school who deeply hates math, what is this?
the little number on the left is something called "tetration." you know how multiplication is just repeated addition? like how 2*3=2+2+2. and exponents are like repeated multiplication, so 2^3 is 2*2*2. tetration is repeated exponents. so ⁿ2 (sorry, n is the only superscript i have on my keyboard) would be 2^2^2^...^2, n times (if you're wondering if this is done left-to-right or right-to-left, the usual way people do it is right to left, so like, the third tetration of 2, would be 2^(2^2) instead of (2^2)^2. this guy is just making new symbols to more easily write down a combination of exponents and tetration. the first one, ⁿ(x^a), equals (x^a)^(x^a)^...^(x^a), n times. the second one, (ⁿx)^a, is (x^x^...^x)^a, where there are n x's.
also in my opinion people mostly don't like math because schools suck at teaching interesting math. i think the best video to get into the really interesting math is a video called Hackenbush, look it up. it's a video about the math that studies two-player, turn-based games, but you'd barely even know its math until he starts getting into the logic behind it. i promise it's good
@@wyboo2019 I appreciate the effort you took to type this out, I simply take it that tetration simply reverses 2^6 (2x2x2x2x2x2) into 6 being a smaller number to the left (6^2) which still gives 2x2x2x2x2x2, I do not really understand what is the use of it but I guess it is just there just like mostly anything that is there in math.
and yes I agree people who grew up not liking math is because it is really difficult to teach it especially to multiple different students or maybe the child might just get uninterested which is me, I usually find solving equations fun when I really know how to and my teacher actually tries to explain how to, but there is bad days where my brain shuts for thinking way tooo much on a problem and I am damn near giving up. I will probably look into the video for the heck of it but I won't raise my hopes of knowing any better
@@kiilee5963nah actually. 2^6 (2⁶) is your general exponents. Not the same as ⁶2 like the user above has explained. One is 2*2....*2 6 times while the other is 2^2^.... ^2 6 times ( 2 raised to itself that is ). ⁶2 is a lot greater than 2⁶
@@sadkritx6200 Alright thanks for clarifying, my head went to another dimension. 2^6 would be 2x2x2x2x2x2 while in tetration 6^2 (the six being on the left side) would mean the two would be raised six times (2^2^2^2^2^2) which would eventually in fact...give a way greater number.
This is your darkest nightmare come to life.
2+2=?
5
@@renecro1007Bro how did I get Ronaldo💀
wow
I don't like it tbh
“i don’t like imaginary numbers” is basically the same thing as that
@@TheProGamerMC20 it's really not. It's unnecessary notation. Tetration in general is pretty useless
Damn
Here before it is famous
what's the point?
The notation is easier to write :)
Bro how is this easier
right@@Glitchrat_YT
E
Worry
That's useless
Not if you dont like to create a mess
Hi oscar
Hi stupid
POV : You are free and have worthless time so you decided to do some stupidity
it could work but this probably wont work hypothetically if you used it in a more advanced problem
特に必要性がない
Eww
no