New Math Just Dropped

Рет қаралды 37,496

4 ай бұрын

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#math #brithemathguy #tetration
Corrections:
4:11 x = e^W(ln4) (not just W(ln4))
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This video was partially created using Manim. To learn more about animating with Manim, check out:manim.community
Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

Пікірлер: 139

@BriTheMathGuy 3 ай бұрын

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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 2 ай бұрын

@@nishyanthkumarYes.

@LinkSpets 3 ай бұрын

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

@symmetricfivefold 3 ай бұрын

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 Ай бұрын

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

@duukvanleeuwen2293 3 ай бұрын

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 2 ай бұрын

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

@symmetricfivefold 3 ай бұрын

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

@FerrisMcLauren 3 ай бұрын

Most of the video is an ad

@Kaizite 3 ай бұрын

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 Ай бұрын

there are other branches of lambert w which give different solutions

@Xiphius 3 ай бұрын

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 Ай бұрын

@@darklight8774they do though

@ElevatorFan1428 3 ай бұрын

X = 2

@shadowshogun2817 3 ай бұрын

thanks you for this great video

@Ay_AnimeEditZ 3 ай бұрын

Damn i didnt knew that notation

@scottleung9587 3 ай бұрын

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

@gd3id 3 ай бұрын

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

@nishyanthkumar 3 ай бұрын

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

@Ostup_Burtik 3 ай бұрын

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

@ayansharma7572 3 ай бұрын

@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

@bojankassebaum2045 3 ай бұрын

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

@user-fv8gf1nr2u Ай бұрын

actual tetration

@Rando2101 Ай бұрын

Call the mathematician!

@solveIn90s 3 ай бұрын

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

@user-bv1qs3cu3f Ай бұрын

Are u know the Knuth Arrow, Gijswijt sequence

@Skank_and_Gutterboy Ай бұрын

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.

@tsa_gamer007 2 ай бұрын

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

@cegexen8191 3 ай бұрын

tetration integration 😭

@bbernyy64 3 ай бұрын

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.

@user-ct1iv9dq1b Ай бұрын

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

@YYYValentine 3 ай бұрын

Now lets do it with complex numbers

@wait_for_the_miracle Ай бұрын

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

@Rithida.Math2024 3 ай бұрын

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

@BalabhaskarSreelal-bp2er 3 ай бұрын

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

@TojosWizzyWorld 2 ай бұрын

2:34 X=2

@XDItsJayden Ай бұрын

Wait until we get pentation and hexation..

@kaminibehera9448 Ай бұрын

Try taking ln

@Samstercraft77 3 ай бұрын

im proud of myself i finally solved one beforehand :D

@annxu8219 Ай бұрын

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

@cross5574 3 ай бұрын

We got new math before GTA 6

@hip2besquare632 3 ай бұрын

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

@Gd_Monsterforce Ай бұрын

In the thumbnail, x=8

@user-kw8kw3py7h 3 ай бұрын

Interesting 😊

@Monothefox 3 ай бұрын

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

@austinturner948 3 ай бұрын

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)

@hmwndp 3 ай бұрын

@user-tq7pj6qb3e 3 ай бұрын

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

@itzsasha4019 3 ай бұрын

👍👍

@saisthuvanthmadiraju5573 3 ай бұрын

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

@the_koschi 2 ай бұрын

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

@hahakysbozo 3 ай бұрын

how tf did i get here

@rajdeepbanerjee3185 3 ай бұрын

1st comment !!!!

@brahmbandyopadhyay 3 ай бұрын

hello

@Aarushi_padhle 2 ай бұрын

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 2 ай бұрын

Tetration was taught in 6th?

@Aarushi_padhle 2 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 2 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