Laplace Transform: The Natural Logarithm ℒ{ln(t)}

[@zuccx99]

Ah yes the oily macaroni constant.

[@khemirimoez8661]

The singular from macaroni is macaronus and I think that's beatiful

[@nuklearboysymbiote]

Real facts (b)

[@avtaras]

Fuck you, your profile picture is aimed at making people try and scrape the "hair" off the screen -_-

[@zuccx99]

@@avtaras some people regret their choices and are too lazy to change the profile picture

[@avtaras]

ZRgaming Lol, says the guy who has the Leafyishere troll pic wtf

[@Valentina-rj7pf]

@@avtaras lol if you turn on dark mode it doesn't work

[@jadegrace1312]

Finally papa got the pronunciation right 😍

[@tanvec]

Do you teach classes on how to make beautiful integaral signs?

[@ianmathwiz7]

Yes, but his other class on making beautiful brackets is a prerequisite.

[@MathematicsOptimization]

If the inf boi is the upper bound it's an integegrill (like a bow tie) If the inf boi is the lower bound it's an inte-gerald (balls) If the inf boi is upper and lower bound, it's complicated...

[@zuccx99]

Thanks for the explanation.

[@vistarichardo.8747]

Love the stuff flying from behind

[@avtaras]

4:43 LMAO "Correct me if there are any führer restrictions"

[@mrandersonpw53]

No Papa, we agreed this going to be Euler-Macaroni (with cheese?) constant from now. Don't take it back.

[@alexc.r2793]

Mola como dice "integeral"

[@carultch]

What is an example differential equation you could solve, using the Laplace Transform of natural log? I've tried to come up with even the simplest examples, but can't fine one that can be solved.

[@KasyapH]

Can you do laplace transformation of log base 2

[@benjaminbrady2385]

I literally just attempted to do this on paper a few hours ago!

[@sionae1967]

I have two questions papa : 1) you're assuming that s>0, isn't that restrictive? 2) why do we write the laplace transform as an L with curly brackets and not just normal brackets when really it's just a regular function taking a regulat argument? Love u papa

[@sionae1967]

@@HAL-oj4jb true but then the fact remains that there is indeed a restriction with Re(s)>0 right?

[@sionae1967]

@@HAL-oj4jb oh okay thanks I didn't know that :)

[@OOobstkuchenOO]

Shouldn't the line you're integrating over change when you do a substitution (and s isn't purely real)?

[@kwirny]

Papa tau is actually from china, not germany

[@angelmendez-rivera351]

You should do a video on how to generalize the Harmonic sequence to a function with real-valued inputs instead of only positive integers as inputs, using the equations ψ(z) = -γ + H(z - 1), ψ(z) = -γ - 1/z + Infinity Boi of [1/n - 1/(n + z)], and H(z - 1) + 1/z = H(z). And then, as a follow up, you should calculate H(-1/2). That'd be pretty cool to see you do.

[@coolbeanz8939]

Source of 0:15 music?

[@muneebahmad7729]

Amazing!! 🖤

[@Reliquancy]

Maybe we could train a neural network to be able to tell a good equation from a bad one...

[@Reliquancy]

Or whether a number is prime

[@sofianemohammed8048]

@flammablemaths i have a question please 🙂

[@booma2]

Does your result satisfy Initial Value Theorem of Laplace Transform which suggest Limtt0>0f(t)=lims->infi s F(s). Definitely both does not exist. What you say?

[@Cam-jx4drgh]

Are you German? If so, do you know anyone named Helmut?

[@sergioh5515]

"It was just a little quickie" 😂

[@ViktorKronvall]

3:21 Close! I’m quite sure it is pronounced “oi-ly-mas-car-po-nee” though (since the constant is spelled “oily mascarpone”)

[@Senpapaya]

Shouldn’t S need to be strictly positive? Or am I missing something?

[@angelmendez-rivera351]

Only the real part.

[@weerman44]

4:56 Papa drunk?

[@whitewalker608]

Damn this is such a quality content but the niche of this is so small. Your KZbin subscribers might not reach 50 million but I really wish you earn a bazillion bucks through this somehow.

[@ZonkoKongo]

you still need to roll the r in mascheroni (flick your tongue once)

[@zh84]

Now can you write out the proof that γ is transcendental? :-)

[@ΆγγελοςΔημόπουλος-φ2δ]

Ah.. the sweet old wheeler macaroni constant.

[@benjaminbrady2385]

It's actually pronounced oi-lur mash-er-own-e constant

[@tanvec]

Ah, the oily marscapone constant

[@pedroandrade8727]

You're great! Pronounciation is very important too!

[@p_sopasakis]

Great video! You also need re(s) > 0.

[@treyforest2466]

Oily Mascarpone constant.

[@Otomega1]

Can you make a video on the logarithmic integral function? "li(x)" the solution for the integral of 1/ln x en.wikipedia.org/wiki/Logarithmic_integral_function

[@Otomega1]

@@PapaFlammy69 thank you :)

[@ralfbodemann1542]

Re(s) > 0, else e^(-s*t) would explode for t -> inf.

[@wiloux]

name something beautiful. me : 2:58

[@QmcometdudeShardMaster]

I'm gonna need a link to the meme at the start for uh, purely computational reasons... :D

[@Assault_Butter_Knife]

#metoo

[@jackhanke343]

this video was icy/10

[@peppybocan]

Oily Mascarpone...

[@ViktorKronvall]

Peter Bočan Ah! You beat me to it.

[@shaqramento3238]

"teoooow"

[@dharmanshah1239]

Hello sir I want to add captions for your videos.send email

[@dharmanshah1239]

@@PapaFlammy69 will I get paid ( I want very less btw)

[@rishavraj7988]

wow

[@regulus2033]

"Macaroni constant" звучит как "Макаронный монстр" XDD PS Excuse my Russian ;)

[@debabratamaji4072]

Really the final ans should be (+lns+y)/s While integrating e^-x he made it e^-x ,which should be -e^-x

[@nevokrien95]

S is real and positive because other wise the limits of integration change

[@angelmendez-rivera351]

Nevo Krien Not only do they change, but the integral would not converge.

[@angelmendez-rivera351]

Nevo Krien Actually, the integral converges whenever Re(s) > 0, and while the limits do change, the integral still evaluates to this

[@nevokrien95]

@@angelmendez-rivera351 can u explain why

[@shayanmoosavi9139]

4:50 at that point you just gave up😂😂😂😂 "parameterization" is very difficult to pronounce. Even sal from the khan academy has a hard time pronouncing it and he grew up in US.

[@Pinjesz]

Papa: not 'Wheeler' you fucking piece of shit! Also him: masheroni

[@miquelnavarro7613]

salu2 visca la terra