New Math Just Dropped

[@BriTheMathGuy]

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[@nishyanthkumar]

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]

​@@nishyanthkumarYes.

[@william3371]

0:45 POV: Bri was feeling devious today & decided to blast you w/ the full force of the sun (light mode)

[@william3371]

I better get 25% off after losing 25% of my video to the ad jk it's all good

[@LinkSpets]

Have you heard about pentation?

[@zhabiboss]

Have you heard of sextation?

[@dennismuller1141]

have you heard of the Ackermann function?

[@ubncgexam]

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

[@funtastic1297]

Have you heard of division

[@Adam-gd6pp]

It's not a story the Jedi would tell you

[@symmetricfivefold]

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

[@Imotbro]

Wait until he/she hears about pentation

[@annxu8219]

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

[@russianAABB]

skip pentation I just need to learn what is tetration is

[@symmetricfivefold]

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

[@duukvanleeuwen2293]

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

[@drrenwtfrick]

Haha infinitely differentiable tetration

[@youngsun37]

Wait until you do tetration with negative numbers

[@Ostup_Burtik]

​@@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]

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

[@catenary_curve]

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

[@Xiphius]

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

[@darklight8774]

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

[@Alians0108]

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

[@gryphey]

@@darklight8774they do though

[@Kaizite]

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.

[@omm-o6i]

Yeah bro you are right

[@jasonwalter-tz4qz]

Was just about to post the same thing

[@skyofquacks]

there are other branches of lambert w which give different solutions

[@Qaptyl]

@@skyofquacks isnt that only for x ∈ (-∞, 0) ?

[@gd3id]

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

[@FerrisMcLaren]

Most of the video is an ad

[@DestopLine]

That's factually incorrect. Only about one third (32.6%) of the video is an ad.

[@DestopLine]

@@Gizzardx0 Do I look like I care about that?

[@the_m_original]

​@@DestopLine most of the video is an ad

[@DinosaurFromTheCosmos]

@@Gizzardx0 Damn bro. you grilled him

[@DestopLine]

@@the_m_original It was a joke because the video is about math, so I actually made the math.

[@nishyanthkumar]

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

[@Ay_AnimeEditZ]

Damn i didnt knew that notation

[@ElevatorFan1428]

X = 2

[@Ostup_Burtik]

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

[@ayansharma7572]

fr

[@MasterofNoobs69]

There is no settled way to do it

[@annxu8219]

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

[@Ostup_Burtik]

@@annxu8219 wrong.

[@annxu8219]

@@Ostup_Burtik corrected it

[@SHADOWYAHYA2007]

thanks you for this great video

[@scottleung9587]

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

[@bojankassebaum2045]

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]

I thought the same thing

[@theotang8418]

Yes which is exactly 2

[@_crypt]

Welp time to differentiate the 2nd tetration of x

[@SixtyStone]

you dont efen need to remove the base at 3:33 i instantly reconiged x = 2.

[@austinturner948]

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

[@Ostup_Burtik]

Btw it possible

[@hayn10]

@@Ostup_Burtikcomplex numbers ?

[@Ostup_Burtik]

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

[@GiveawayGamer7]

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

[@YYYValentine]

Now lets do it with complex numbers

[@cross5574]

We got new math before GTA 6

[@Skank_and_Gutterboy]

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.

[@cegexen8191]

tetration integration 😭

[@bbernyy64]

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]

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.

[@annxu8219]

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

[@BalabhaskarSreelal-bp2er]

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

[@averagemusicproducer3718]

new math update changelogs: added more confusing math

[@АннаСивер-г8м]

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

[@elevolucionestoica]

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

[@Jeedle_Boofcan]

Babe, wake up. New math just dropped

[@МирославКанев]

actual tetration

[@Rando2101]

Call the mathematician!

[@IkumieIkupi]

Are u know the Knuth Arrow, Gijswijt sequence

[@sontruong4194]

new math just went up

[@Nazim-u6w]

Finally, some updates and bug fixes after several hundred years

[@BriTheMathGuy]

the software wasn't going to patch itself

[@tsa_gamer007]

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

[@robloxcutter]

and it is 2

[@Monothefox]

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

[@TojosWizzyWorld]

2:34 X=2

[@the_koschi]

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

[@MathIsrael001]

I got 4 since 2^x^2 = 2^4^2 then comparing, we know x is 4. BriTheMathGuy please let me know where I'm getting it wrong but I feel like 4 is correct ✅.

[@ArtyArdo]

Now we need this in keyboards like * or ^ like something

[@AnupRoy-h4d]

2:08 worthy part starts here.

[@XDItsJayden]

Wait until we get pentation and hexation..

[@Rithida.Math2024]

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

[@saisthuvanthmadiraju5573]

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

[@bogdantoma3916]

,,new math just dropped" 😢

[@Hunter-n-Josh]

Ever heard of Hexation? Heptation? What about octation. Or even nonation! Ever heard of dectation? Or UNDECTATATION IF MIGHT SAY. EVERY HEARD OF DUODECTATION?? WHAT ABOUT VIGINTATION??? MATTER OF FACT, EVER HEARD OF CENTATION???????

[@Samstercraft77]

im proud of myself i finally solved one beforehand :D

[@hip2besquare632]

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

[@MilosVuksanovic-sj8kj]

to long commercials for such short video

[@PopTart-k8g]

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

[@mutafyanny]

Before the ending i said x=2

[@sebas31415]

We got new math before gta6 smh

[@kaminibehera9448]

Try taking ln

[@PrabakaranR-k3y]

Interesting 😊

[@ThatOneCreature]

math 2 before gta 6

[@hmwndp]

7?

[@yaseenelhosseiny]

X=2

[@RB-4]

X=2

[@hahakysbozo]

how tf did i get here

[@itzsasha4019]

👍👍

[@HarryLarsson-b2n]

no it didn't, this is extremely old

[@Sasha123-d1q]

holy hell

[@Sasha123-d1q]

new response just dropped

[@Sasha123-d1q]

call the exorcist

[@Aarushi_padhle]

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

[@Iloveminecraftverymuch]

But nobody asked...

[@Aarushi_padhle]

@@Iloveminecraftverymuch why jealous bro

[@pankajsaroj8937]

Tetration was taught in 6th?

[@Aarushi_padhle]

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

[@pankajsaroj8937]

@@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

[@rajdeepbanerjee3185]

1st comment !!!!

[@brahmbandyopadhyay]

hello

[@Cuti3Littl3Girl]

3:19 boots and cats and boots and cats

[@JakubS]

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]

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

[@MathIsrael001]

I got 4 since 2^x^2 = 2^4^2 then comparing, we know x is 4. BriTheMathGuy please let me know where I'm getting it wrong but I feel like 4 is correct ✅.