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@nishyanthkumar

3 ай бұрын

I might be being stupid here, but shouldn't the left-hand side on the final screen (after applying the Lambert function) be lnx instead of x = W(ln4)?

@Bhuvan_MS

Ай бұрын

​@@nishyanthkumarYes.

Have you heard about pentation?

@zhabiboss

3 ай бұрын

Have you heard of sextation?

@dennismuller1141

3 ай бұрын

have you heard of the Ackermann function?

@ubncgexam

3 ай бұрын

Have you ever heard about the up-arrow-notation? Or tree(n)? Graham's or Rayo's number? 😔

@funtastic1297

3 ай бұрын

Have you heard of division

@Adam-gd6pp

3 ай бұрын

It's not a story the Jedi would tell you

damn that function is wild 💀 never seen such fascinating way to use it inside a function before.

@Imotbro

3 ай бұрын

Wait until he/she hears about pentation

@annxu8219

25 күн бұрын

@@Imotbrowait till bro trys to solve x for ψ(x)=x

way to calculate this: 4^8=2^(2^2(^2^(2))) so 4^8=⁴2 so ²x to 2 =⁴2 ->²x =4 ->x=2

Wait until you try to do tetration with non-integers..

@drrenwtfrick

3 ай бұрын

Haha infinitely differentiable tetration

@youngsun37

3 ай бұрын

Wait until you do tetration with negative numbers

@Ostup_Burtik

3 ай бұрын

​@@youngsun37btw it possible. x^^-1=0 but 1^^-1=1, x^^-2=-∞ but 1^^-2=1. 1^^x=1 and integers x≥2 y^^x=-∞

@idonothavealife

2 ай бұрын

​@@youngsun37tetrating to -1 gives you 0, and tetrating to -2 and below is undefined

@f4road

Ай бұрын

You can (kinda) do tetration with rational numbers I think

silly Bri. you made a mistake at the end. you perform the lambert W function to both sides after getting "ln(x) * e^ln(x) = ln(4) W(ln(x) * e^ln(x)) = W(ln(4)) ln(x) = W(ln(4)) x = e^W(ln(4)) you said that x = W(ln(4)), but that's not true. also, you can simplify e^W(ln(4)) ln(4) = ln(2^2) = 2 * ln(2) = ln(2) * e^ln(2) so W(ln(4)) = W(ln(2) * e^ln(2)) = ln(2) e^ln(2) = 2 so you got the same answer you got originally, which is x = 2.

@user-fq7ft1tz9k

3 ай бұрын

Yeah bro you are right

@jasonwalter-tz4qz

Ай бұрын

Was just about to post the same thing

@skyofquacks

24 күн бұрын

there are other branches of lambert w which give different solutions

Most of the video is an ad

Do we learn this in school, like, ever? If not, this channel deserves more recognition.

@darklight8774

3 ай бұрын

we honestly should same with the gamma function, lambert W, and logarithmic differentiation and integration

@Alians0108

3 ай бұрын

​@@darklight8774we do learn about the gamma function in stats class

@gryphey

23 күн бұрын

@@darklight8774they do though

The height of the tetration can also real. x tetrated to y = 1 + x if -1

Damn i didnt knew that notation

nice video! i only knew about tetration because of bprp :D

thanks you for this great video

X = 2

I've never seen or learned about this notation before, but it's interesting!

Hey Brian, I think you made a mistake in the last line... there is "x = W (ln (4))", but it should be "x = e^W (ln (4))". Please double check that and correct me if I'm wrong. 👍

@MasterofNoobs69

3 ай бұрын

I thought the same thing

@theotang8418

3 ай бұрын

Yes which is exactly 2

Hi friend, nice math video! Which program did you do the animation? Manin? Thanks

Yes! But what about non-integer tetration? What is i^^½ or i^^i? What is 0^^i?

@ayansharma7572

3 ай бұрын

fr

@MasterofNoobs69

3 ай бұрын

There is no settled way to do it

@annxu8219

3 ай бұрын

tetration only apply to integer between [-∞,ω]

@Ostup_Burtik

3 ай бұрын

@@annxu8219 wrong.

@annxu8219

3 ай бұрын

@@Ostup_Burtik corrected it

actual tetration

@Rando2101

Ай бұрын

Call the mathematician!

Are u know the Knuth Arrow, Gijswijt sequence

hot take: tetration is a waste of time, and just a byproduct of people thinking oh, you go from repeated addition to multiplication, to exponentiation etc. so there must be something after it! Nope, (2^a)^b (the correct notation) equals 2^(ab). There is nothing following exponentiation.

@rebusd

Ай бұрын

Not entirely true. It can be shown that in general, the output for a Goodstein sequence is simplest for 2^^n where n is any natural number. While you're probably eluding to the fact that only exponentiation and lower operations are total over complex numbers and that the laws of exponents only hold for real numbers (which makes 'exponentiation as repeated multiplication' only a very special case of exponentiation in general), tetration does have a purpose in combinatorics and infinite Ramsay theory, even if it is not defined for complex arguments.

3^4 is not 3 multiplied by itself 4 times. If you did that, you'd be calculating 3^5. It's more accurate to say that for 3^4, you're using 3 as a factor 4 times in your multiplication.

The final answer should be e^W(ln4) because our lhs will become lnx after operate the W

Second answer is not fully correct.. It will be e^(w(ln4))

tetration integration 😭

Everybody now knows about tetration,for some reason.It seems to be literally everywhere.

Before looking at the solution, I calculated it to be 2.

Now lets do it with complex numbers

Wait until we get pentation and hexation..

im proud of myself i finally solved one beforehand :D

🎶Hooray for new math New-ew-ew math It won't do you a bit of good To review math🎶

We got new math before GTA 6

Compute the Integral x^2024/(x^2+1)^2023 dx

Interesting 😊

bri pls solve ψ(x)=x where ψ(x) is madores ocf i need it for hw😭😭😭😭

I wonder what happens if you put non-integers as the power of a tetration

@Ostup_Burtik

3 ай бұрын

Btw it possible

@hayn10

3 ай бұрын

@@Ostup_Burtikcomplex numbers ?

@Ostup_Burtik

3 ай бұрын

@@hayn10 yes, i have calculator for this(Python)

Try taking ln

In the thumbnail, x=8

Now if you want to have lots of fun take the derivative

Could you do the Aleph Nullth fibonacci number? (F(Aleph Null))

2:34 X=2

👍👍

7?

Almost a third of the video is the "sponsoring message" (I would call it an ad). Is that really necessary?

how tf did i get here

e^W(ln 4) not W(ln 4)

comment section makes me realise how intelligent we indians are, we learn this in class 6

@Iloveminecraftverymuch

2 ай бұрын

But nobody asked...

@Aarushi_padhle

2 ай бұрын

@@Iloveminecraftverymuch why jealous bro

@pankajsaroj8937

Ай бұрын

Tetration was taught in 6th?

@Aarushi_padhle

Ай бұрын

@@pankajsaroj8937 i mean yes we did have exponents and since i prepared for jee i did a lil extra too, so yea

@pankajsaroj8937

Ай бұрын

@@Aarushi_padhle oh yeah, then it makes sense that you went the extra mile because I was pretty confused as to you learning something like this in a lower class like 6th

1st comment !!!!

@brahmbandyopadhyay

3 ай бұрын

hello

3:19 boots and cats and boots and cats

you can simplify the question to x^x=4 so x=2 I imagine you could find more solutions by using the Lambert W function, but I couldn't figure it out

@asheep7797

15 күн бұрын

this is by taking superlog base 2 on both sides, leaving x^^2 = 4, or just x^x = 4

X=2