Gauss would be Proud.

[@PapaFlammy69]

*_Forgot the square in the last integrand lel. Hope you like the first episode of the aDVeNt cAlENdAR and if you did, why not check out some of today's relevant links to support the channel?

[@akselai]

finally advent calenderOYAAAHAHEIYA

[@anshulrai677]

You gotta said hello mathematicians not what you said! But that was funny tho! 🤔

[@anshulrai677]

Noice

[@numberandfacts6174]

What is answer for s if Γ(s) = ∞

[@fuji_films]

@@numberandfacts6174 Γ(x) = x so by doing Γ(s) = ∞ we' saying that s = ∞. I know I'm a genius.

[@carlfriedrichgauss7102]

As Gauss himself, I can confirm that I am proud.

[@HershO.]

Chad created a new account just for this... Respeck

[@silentintegrals9104]

great guys!!! 🤣

[@kaddanki096]

Dear professor doktor Gauss, I am both pleased and bewildered how you managed to open a KZbin account in spite of being dead for nearly 200 years or so

[@dorian4387]

this is a certified Gauss classic

[@stressedbyamountainofbooks1792]

@@HershO. Holy shit he did create A new account….Damn

[@DukcTaim]

Gotta love the funky variable “ b “, and the abretrary constant “snek”

[@blandconstant5548]

Snek 4 the win

[@mastershooter64]

8:43 Ah yes the classic gaussian integral we all know and love the integral of e^-x dx lol i really enjoyed watching you solve it falme-e

[@PapaFlammy69]

sry haha XD

[@mastershooter64]

@@PapaFlammy69 papa falme-e you should do videos on differential geometry

[@JormaWassmer]

happens to me all the time while talking (i‘m a teacher); altough, i often say it right and write it wrong.🤪 Anyway , another entertaining video. thanks

[@The-Devils-Advocate]

Yeah, I was so confused at that moment!

[@laxminarayanbhandari855]

@@mastershooter64 I am trying to learn tensors right now. I can feel how complicated they are. Don't know what will happen in differential geometry. Just next level shit.

[@Davquest]

Papa: Let's use something fancy! Also Papa: 🅱️

[@AndrewDotsonvideos]

Hurry and finish your videos my McDonald’s is getting cold :(

[@PapaFlammy69]

you don't deserve warm happy meals bruh

[@a_llama]

@@PapaFlammy69 cold burn

[@JanxakaJX]

For those who are worried about the b^2 going to b, the next step is still the same (both b and b^2 are some real number, so they can both be simplified to the square root of pi)

[@korigamik]

no. Please don't try to defend mistakes (even ironically). People like me would surely get super confused. Don't

[@EnriqueGonzalez-pw7xe]

Not a defense, not ironic also. A lucky fact on a lucky oversight.

[@neutronenstern.]

no the Integral of e^-b from negative inf to inf will be -e^inf+e^-inf, which isnt defined.

[@DatBoi_TheGudBIAS]

Best discount ever, I'm hyped to save 6.9%

[@PapaFlammy69]

:D

[@domc3743]

I have alternative solution papa (daddy). We make the substitution, X=e^u We have integral (e^(-u^2+u)) Then we define I(t) = e^(-u^2 +tu) We can use I(0) = sqrt(pi) Then diff wrt t, and integrate by parts leaving us with a TRIVIAL differential equation :)

[@royalefighter0159]

This is literally the best time of the year. And starting it off with an improvised session about a spicy Integral?! THIS IS A POG MOMENT

[@PapaFlammy69]

:D

[@MathIguess]

_he's right, you know..._ :D

[@pierfrancescopeperoni]

Tony practices piano only 20 minutes a day?? Ling Ling practices violin at least 40 hours a day!!

[@PapaFlammy69]

:^)

[@livedandletdie]

LingLing 40 hrs huh... why are you here, stop procrastinating, be more like Ling Ling.

[@denizgoksu9868]

Tony practices the piano 20 minutes every day Effect: He comes to like Jobrahmes Hans

[@peterdunkin6026]

At 8:40 you wrote -b instead of -b^2 in the exponential. Like so he can see this.

[@PapaFlammy69]

no need, look at the pinned comment

[@PapaFlammy69]

still, thx :)

[@thephysicistcuber175]

He protecc He attacc But most importantly Every year he brings Papa Flammy's advent calender bacc.

[@fuji_films]

I coom.

[@hetsmiecht1029]

Even more importantly He returned with a snekk

[@furretwalky]

Papa Flammy's Advent Calendar, Ou-ai-ay-ay-ay-ay-ay-ay-ha-aghia

[@laxminarayanbhandari855]

This wasn't hard. Still enjoyed it. The way you solve integrals feels more natural to me. Keep up the good work. ❤️

[@PapaFlammy69]

[@kimveranga]

HOLY F ADVENT CALENDAR I LOVE THIS SHIT. Besides Destroy Dick December starting today, this is another great way to start December. I hope you may cover compound inequalities in the calendar or at some time soon.

[@PapaFlammy69]

:)

[@krisbrandenberger544]

8:39: The integrand should be e^(-b^2).

[@PapaFlammy69]

yes, see pinned comment

[@Assault_Butter_Knife]

Papa Flammy's™ Advent Calendar© is my favourite part of the year, no joke

[@PapaFlammy69]

:))

[@user-wu8yq1rb9t]

Minute: 8:48 ... I loved it (For these kinda of moments I love you Papa Flammy Mathy)

[@PapaFlammy69]

:)

[@dorian4387]

Our favourite time of the year has begun, the truly immaculate advent calendar is here

[@austinbutts3000]

"Nu, or v, I really don't care." My man! 👊

[@gaussiit4855]

Child, you have brought great honor to my name.

[@HAL-oj4jb]

advent calendar OOOHHAYYAYAYAYAYEAUHAH

[@PapaFlammy69]

:D

[@rodrigoteresa7944]

does log(x) mean base e sometimes? In canada we always use ln(x) or log_e(x) to show its the natural log. Either way very cool vid!

[@aanon4019]

Here in the states, it depends on the discipline u r working in -- default can be 2 (sometimes in CS), 10 (some engineering stuff iirc) or e (math and sometimes physics)

[@denizgoksu9868]

Oh yeah it's the fucking adVENT caLENdah

[@thelaplacian8699]

Needs more laplacian

[@abhaykumarsingh7081]

Jingle fucking bells assholes! This is going to be my way of greeting people this Christmas!

[@Heliumz]

The prophecy is true! Papaflammy Advent calendar

[@guisimoso5]

My brain: Can you fookin sleep? Me: Ok, next video papa flammy

[@pardeepgarg2640]

Is that 24 vids in 24days include all types of branches or only calc??

[@PapaFlammy69]

various different :)

[@Bagunka]

Ah, the last part if left as an exercise to the reader ;)

[@ieatbananaswiththepeel4782]

4:08 fucking hell he’s destroying the equation, me, and my girlfriend :(

[@Buenofresser]

Does someone know how the name of his shirt is, where the number 8 is rotated by a matrix to get the infinity sign? Icant find it manually

[@PapaFlammy69]

A Very Sophisticated Maths Meme www.STEMerch.eu :)

[@Buenofresser]

@@PapaFlammy69 Danke dir! Habs bestellt :D

[@raymond-exe]

"Jingle fucking bells assholes" on a maths channel. Subscribed.

[@mudkip_btw]

I DIDNT REALISE THE ADVENT CALENDAR IS BACK pog

[@mudkip_btw]

And snek is bek?? This is huge whyd i miss this :(

[@nukm4]

A statistician would've just recognized it as the moment generating function of a gaussian random variable.

[@PapaFlammy69]

nice.

[@lucasbrown7317]

Most stressful time of the year for me: looks calmer than Buddha

[@martinzapata7289]

Differentiation under the integral would’ve been faster 😎

[@jorgelenny47]

Life goals: be as funny to somebody as that b was to papa

[@PapaFlammy69]

:D

[@justinernest2363]

Please make more of these shorter videos...so entertaining 🥳

[@jkid1134]

Classic Flammy

[@lucador977]

Really interesting ... Please check it , a function with only primes roots

[@tszhanglau5747]

It's been another year huh... Papa flammy's advent calendar oh I aaai

[@PapaFlammy69]

:D The 4th iteration already! :D

[@shubhjoshi6205]

I miss Gauss, such a great guy 🥲

[@nebthegamerartist6662]

Best math explaining yt channel haha

[@fleurbird]

I'm way too dumb for this shit. But I love the into

[@PapaFlammy69]

[@ManavKoul]

Thank you papa! Encountered this in probability theory class, super helpful

[@taqeemohammed25]

Get a LOAD of this guy

[@WhattheHectogon]

What a lovely result...must excitement for the return of the advent calendar!

[@PapaFlammy69]

:)

[@ofekshochat9920]

well until the 5th minute I was like mhm yea that actually makes sense. then I was like, you can do that??

[@elliott614]

Its annoying how making jokes less explicit than 4:03 ish in YT comments are usually auto deleted. And I know its not the creators bc a lot of them have part of their videos being complaints about youtube limiting their reach and demonetizing as an anti-censorship rant

[@tauhid9983]

Instead of using the t sub can we not use the elementary integral for gaussian function to deal with the e^-log^2x?

[@milencenov6421]

Wow, an error in the error function. This is so cool and funky ! Merry X-mas, Y-mas and Z-mas !!!

[@joda7697]

I did it myself and i got that it's the 4th root of e times pi squared, so (e * π^2)^(1/4) Edit: Yay i was right!

[@silentintegrals9104]

you are the one!!!

[@PapaFlammy69]

nice, gj :)))

[@joda7697]

@@PapaFlammy69 Funniest thing is i did this while procrastinating my solid state physics assignment... So i did math in order to not do physics. Welp.

[@JanxakaJX]

Hat mir das Video sehr gefallen :)

[@ghisstl.w.9059]

I would say that the solution is pretty neat and the answer is pretty cute. A really nice improv session.

[@PapaFlammy69]

thx! :3

[@ghisstl.w.9059]

@@PapaFlammy69

[@monkerud2108]

To be fair new is the old v

[@PapaFlammy69]

yeye

[@themibo899]

4:07 fucking hilarious, keep up the good shit ma boi 💯💯💯

[@PapaFlammy69]

:D

[@olz6928]

9:00 no link in descrption

[@tgx3529]

Lebesgue integral with help two inverze functions Is not nice, Its 2* sinh(sqrt(- logx)) on (0;1),. So using Polar systém, Jacobi determinant, Its inevitable!

[@doodelay]

this kinda interesting, were u thinking how to solve this in real time? as in, u hadn't solved it ahead of time?

[@deyomash]

dude holy shit i did it myself. how is that even possible :O

[@PapaFlammy69]

gj

[@ricardoparada5375]

Ayyy it’s that time of the year again. I always forget until I hear the intro lmao

[@PapaFlammy69]

:D

[@livedandletdie]

Imagine if all of the dumb bots where like ͤͫͦͨ ͤͬͤͪ ͫͣͥ ͭͦͪ Oh wait they are like that. Thankfully I've not seen one on this channel. Just good old nice math and hard wood. And holding the shaft of your tool, working your wood, slowly and carefully, until finish.

[@PapaFlammy69]

:^)

[@neutronenstern.]

INTEGERRAL

[@user-tn4qe9ne9j]

PAPA Gauss would be proud

[@x0cx102]

Nice video! Is that Andrew dotson on the thumbnail

[@PapaFlammy69]

ye :p

[@abhishekkp7121]

🌻

[@UnsoundMouse]

Ah man your intro gave me life i love it

[@CrittingOut]

4:12 XDDD

[@rajbirengineer5724]

Bro wht is the best channel for coding? as ur in my own world is the best teacher of mathematics then I wanna learn coding from same teacher with teaching method like u. So I have a question that wht is the best channel for coding . plz help me :(

[@BoringExtrovert]

b should be squared. Loved the video btw

[@PapaFlammy69]

yas, noticed it too ^^'

[@mohamednejighnimi4860]

isn't it -b^2?

[@415jpx6]

I wanted to factor the -t^2 + t, but I didn't know how to do it. Anyways, great video as always papa Flammy.

[@mighty8357]

Well done!

[@PapaFlammy69]

thx :3

[@silentintegrals9104]

totally agree!

[@omarbaratelli3831]

Wow ! This is amazing @Jens ! The funky variable b... is not better than Xi 🤣

[@frannywiii]

The answer is (π🥧)¼

[@jessekroll3622]

Where are you studying maths?

[@MathIguess]

Liked the video as soon as snek appeared :)

[@PapaFlammy69]

gg :D

[@user-wu8yq1rb9t]

*Papaaaaaa* ... *Thank you*

[@alberteinstein3612]

The intro bro 🤣🤣🤣

[@wikipediaboyful]

I've just been called and ass*. Never felt more joy in my life. Automatically clicked the like button :D

[@averagecornenjoyer6348]

ah yes, int e^-b db = sqrt pi, indeed lol.

[@giuthais]

👍

[@Kuratius]

4:05 Das nennt man eine handfeste Kurvendiskussion.

[@PapaFlammy69]

:DDD

[@CrittingOut]

he do be a big nerd

[@PapaFlammy69]

ayooooo

[@CAG2]

e to the power of negative b squared

[@PapaFlammy69]

ye, see pinned comment

[@numberandfacts6174]

What is answer for s if Γ(s) = ∞

[@EngMorvan]

That db looked weird...

[@gurkiratsingh7tha993]

Flammable maths' favorite number is 69

[@fuji_films]

You're his favourite 69.

[@monkerud2108]

Yeah pretty sure gauss would say Flammy>>Chappell

[@PapaFlammy69]

:D

[@worldnotworld]

He sure as hell wouldn't be proud of your revolting antics

[@emanuellealschafer4960]

snake

[@PapaFlammy69]

*snecc

[@emanuellealschafer4960]

@@PapaFlammy69 🐍

[@KazACWizard]

How about a 420% reduction on your merch store????

[@livedandletdie]

Well he could reduce prices by 420% if he first increases prices by 414.1% So that it averages out to 6.9% reduced price.

[@klofat]

🐍 is real

[@PapaFlammy69]

:D

[@jorex6816]

Yeeees finally :]

[@ArceusMaster50]

Fucking love your vids man voice of a fuckin Chad

[@lazarusunkwon6]

I think this is going to sound stupid, but log(x)≠ln(x). Unless you are treating them like that. In that case ignore this comment.

[@mdanish2030]

Exp(-b^2) instead Exp(-b)

[@PapaFlammy69]

see pinned comment