A MathVenture: The Fransén-Robinson Constant - The Journey Begins

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  • Опубліковано 26 жов 2024

КОМЕНТАРІ • 84

  • @YitzharVered
    @YitzharVered 5 років тому +36

    Integral of gamma(dx)mmmmmmm?

  • @YitzharVered
    @YitzharVered 5 років тому +26

    Bruh, you still haven't made integral ln(dx)

  • @tianvlasic
    @tianvlasic 5 років тому +2

    I’ve been waiting so long for someone to post a video about it. Thank you😊:)

  • @raydencreed1524
    @raydencreed1524 5 років тому +7

    I think this is the only cliffhanger I’ve seen that has me excited for what’s coming next...

  • @sicko_the_ew
    @sicko_the_ew 5 років тому +8

    Real maths! Maths with dead ends and struggles.
    My own mathematical knowledge is such that I have to take quite a lot of what you say "on faith" (I'll fill those voids in my brain cavity "one day", but for now the challenge is to try and keep up - more or less). Never mind that, anyway. (Boring boring). The thing is my experience of "real maths" is largely one of problems that won't get solved, where I resort to reminding myself that I am just someone who bangs his head against brick walls. That's what I do. If it won't move, then I'm just going to get pigheaded, and start just banging my head against this wall until it either falls, or I see the little doorway just next to my left hand, or the skull gives in and I get to go on a nice long holiday in the place with the green walls.
    Failure! Yes! This is my kind of math-tale! (Nice to hear it ends on success, but when the goal becomes purely the unwavering will to just keep hitting into that wall, success is just a byproduct. The objective is to attack the wall. Mission description complete. It opposes me. It's bigger than me. I attack it. - Maybe I'm a Jack Russell Terrier or something.)
    I don't think I've ever seen the like of this on UA-cam.Here, one finds mostly demonstrations of known paths, or struggle stories edited down to the little success at the end. (Which is OK for those who live on success rather than opportunities to test out the Wille zur Macht).
    Thanks for exposing something of the whole process here. Fantastic idea! I look forward to the next episode.
    (Nice cat video, too.)

    • @sicko_the_ew
      @sicko_the_ew 5 років тому

      I may have mentioned this already, but just in case I didn't, good news: RPWL has returned from the world of the Dead, with some lovely space rock. *A New World* ua-cam.com/video/lhHlCx-OlsU/v-deo.html
      (They're a German progressive rock band. I suppose you might not know that, somehow.)
      (Sadly, Panzerballet - jazz metal band - still looks very dormant or maybe even lost forever. We'll see...)

  • @nebojsagacesa6046
    @nebojsagacesa6046 5 років тому +7

    There is prophecy that if you come early mr. Flammy is going to apear and put a heart give you heart and anserw .

  • @alexandersanchez9138
    @alexandersanchez9138 5 років тому +2

    4:33
    **(k-1)! with k = 0 (to infinity)**
    "OK, so this makes perfect sense to me."

  • @99selfmade21
    @99selfmade21 5 років тому +7

    One thing i directly tried was the lleibniz rule and take the derivative of this thing. d/dt int 0 to inf (dx/G(tx)). Leibniz says "alright" and we can interchange the differntial with the integral and get the following int x=0 to x=inf d/dt (dx/G(tx)) = - int x=0 to x=inf (G´(tx)*x)/G^2(tx) dx Digamma function = G´(x)/G(x) so it follows: - int x=0 to x=inf (D(tx)*x)/G(tx) dx. So yes i think now it looks more terrible, but maybe i open some new way to solve the thing but i don't have any idea left :(

  • @subhrajitroy1477
    @subhrajitroy1477 5 років тому +11

    YOU MUST GET THE NOBEL PRIZE IN COOLNESS... xD

    • @subhrajitroy1477
      @subhrajitroy1477 5 років тому

      @@PapaFlammy69 no lel bro, I am serious :)....the best decision in ur life was to start a UA-cam channel

    • @subhrajitroy1477
      @subhrajitroy1477 5 років тому

      WOW, 10 LIKES...THAT'S THE MOST I HAVE GOT

  • @jackhanke343
    @jackhanke343 5 років тому +1

    I like this style of video, seeing your thought process on a hard problem :)

  • @schokoladenjunge1
    @schokoladenjunge1 5 років тому

    dude you talking about this makes me so happy, its been my fav number ever since high school

  • @benjaminarias5193
    @benjaminarias5193 5 років тому +1

    This is SO cool man, the trilogy everyone was waiting for.
    I will obviously do a review after it finishes, Hollywood gonna be amazed.

  • @jacobpilawa203
    @jacobpilawa203 5 років тому

    What an awesome idea for a few videos. I'm so excited for the next few!

  • @kwirny
    @kwirny 5 років тому

    Best feeling, watching fm videos after coming home from holidays.

  • @enzogiannotta
    @enzogiannotta 5 років тому +2

    I have been dragged to a pit of false hope and despair.

  • @metallicarocks300000
    @metallicarocks300000 5 років тому +21

    This bruh be taking factorials of negative numbers smh 4:00

    • @99selfmade21
      @99selfmade21 5 років тому +6

      in the limit -1! goes to infnitity so the k=0 could just vanish

  • @jungle304
    @jungle304 5 років тому +4

    Try integral form 0 to 1 of log Gamma

  • @handsomenewman6772
    @handsomenewman6772 5 років тому +7

    I always wondered how did u came across all this kinky side of analysis with weird representations of functions and gamma function all over the place, that was till the first day i opened a quantum field theory textbook

  • @alejandrojimenez108
    @alejandrojimenez108 5 років тому

    I actually laughed and cried like a giddy schoolgirl when Isaw this video, I love this constant and no one ever talks about it, I solved a couple months back and knew that one day the chosen one FLAMMY BOI MATHS would solve it.

  • @TheMikediaz100
    @TheMikediaz100 5 років тому

    Yo how you said that name of the constant is so great

  • @metallicarocks300000
    @metallicarocks300000 5 років тому +3

    I wonder if you could do this with the Euler-Maclaurin formula.

  • @P108A
    @P108A 5 років тому +6

    Bruh why is Simon Clark on the thumbnail
    Am I missing something

    • @practicalmediocrity3329
      @practicalmediocrity3329 5 років тому

      Simon Clark did a 'coding vlog' which is similar to what FM is doing but FM isn't being sponsored ( I think).

  • @bobus_mogus
    @bobus_mogus 5 років тому +1

    Omg Papa is a professional mathematician now.

  • @jesiryt8583
    @jesiryt8583 5 років тому +2

    When you don’t know math but you gotta support Papa Flammy

  • @tszhanglau5747
    @tszhanglau5747 5 років тому +7

    Did ya try the Weierstrass definition of 1/gamma function? Did that work? Btw,epic fail right there.

    • @angelmendez-rivera351
      @angelmendez-rivera351 5 років тому +1

      Flammable Maths You probably should derive the Taylor series for 1/Γ(t), even if you don't use it. It would be fun to watch.

  • @elirome6978
    @elirome6978 5 років тому +1

    3:10 You should never underestimate an integral

  • @anatolecvz8932
    @anatolecvz8932 5 років тому

    Merci énormément pour cette video... 😁

  • @mevnesldau8408
    @mevnesldau8408 5 років тому +3

    Maybe, Bandera Transform will work for this problrm?

  • @adrienmartina
    @adrienmartina 2 роки тому

    Maybe an idea would be to separate the integral on intervals like [0,1], [1,2],... and then use the relation Γ(z) = Γ(z+1)/z as many times as needed to be able to use the integral form of Γ on each of these intervals and follow with the same kind of calculation you did in this video

  • @Stixch7
    @Stixch7 2 роки тому +1

    I just realised that he has a different blackboard in this video

  • @sahilbaori9052
    @sahilbaori9052 5 років тому +1

    "60 hours a day" Papa getting inspired by Lang Lang

  • @ldskjfhslkjdhflkjdhf
    @ldskjfhslkjdhflkjdhf 5 років тому +1

    This cliffhanger killed me. Don't do this to us :(

  • @untabouret3
    @untabouret3 5 років тому

    I actually managed to guess all the steps (the wrong ones though) ! I've grown so much thanks to you papa ♥️

  • @hopegarden7636
    @hopegarden7636 5 років тому +3

    Your words you said in the beginning and philosophy of your Tee is self contradictory....lol

    • @hopegarden7636
      @hopegarden7636 5 років тому

      Dude looks like I solved it I means it looks elegant but I'm not sure is there a way I can send it to ya?

  • @ziphy892
    @ziphy892 5 років тому +1

    I havent seen a number in years sinnce i watched you

  • @peterdriscoll4070
    @peterdriscoll4070 5 років тому

    Not flammable, on fire.

  • @David-km2ie
    @David-km2ie 5 років тому

    I am so curious!

  • @thephysicistcuber175
    @thephysicistcuber175 5 років тому

    Link to the channel mentioned around 9:54?

  • @duncanw9901
    @duncanw9901 5 років тому

    Saw it on reddit... prove that sum from 1 to inf of 1/(n^3sin(n))^2) converges

  • @HilbertXVI
    @HilbertXVI 5 років тому

    Hooooo boy, can't wait lol

  • @kylianm7139
    @kylianm7139 5 років тому

    But the reflection formula is for x such that 0

  • @TheTimeDilater
    @TheTimeDilater 5 років тому +3

    It's kinda good

  • @Gamma_Digamma
    @Gamma_Digamma 4 роки тому

    I don't think doing complex analysis of the difference integral will help either

  • @cassiel5150
    @cassiel5150 5 років тому +1

    What is congruence sign doing in the thumbnail?

  • @keyyyla
    @keyyyla 5 років тому

    Can you pls post the link to your question on mathstackexchange?:)

  • @hehebwoai3056
    @hehebwoai3056 5 років тому +2

    German boi talking about POLES hmmm

  • @carlosp3632
    @carlosp3632 5 років тому

    Papa flammy is the messiah

  • @pedrolourenco9520
    @pedrolourenco9520 5 років тому

    Mfw when papa ends the video and you realize you have to wait several days to know the rest of the journey:(

  • @paoloazzini9003
    @paoloazzini9003 5 років тому

    hey boii if Riemann sum doesn't work, you should try using trapezoid's method ;)

  • @TheMazyProduction
    @TheMazyProduction 5 років тому +2

    All you had to do is +C.

  • @bobus_mogus
    @bobus_mogus 5 років тому

    Le ebic math series has arrived

  • @OtiumAbscondita
    @OtiumAbscondita 5 років тому +1

    When the video is over 10mins so you just spammed ads 😂

  • @thephysicistcuber175
    @thephysicistcuber175 5 років тому

    I th ink you can't Fubini since if 0

    • @thephysicistcuber175
      @thephysicistcuber175 5 років тому

      @@PapaFlammy69 yeah, I just noticed that before you said that the expression for gamma isn't valid.

  • @Idk-hp3oo
    @Idk-hp3oo 5 років тому

    Where did the e go? And if the boundaries of the integral is invalid why did it result in the error term?Is this double integral maybe in some other way valid or are we just presenting you some error of our authors?As usual we will find out at the end of this episode of beyond beliefe.Your Jonathan Freaks

  • @whydontiknowthat
    @whydontiknowthat 5 років тому

    Clearly this shows that e=0

  • @janszwyngel4820
    @janszwyngel4820 5 років тому

    i'm dumb and i dont know how to do series 1/k^k do it plz

  • @johannesh7610
    @johannesh7610 5 років тому +1

    But 1/Γ(x) = L(x) by using the reflection formula...

  • @peterclark5244
    @peterclark5244 5 років тому

    Mmmm what a nice snacc

  • @leafbaguette
    @leafbaguette 5 років тому

    mfw the integral representation isn't valid for Re[z] < 0

  • @codemagenta2681
    @codemagenta2681 5 років тому

    Your tshirt is a lie for x = i
    :(

  • @horris3431
    @horris3431 5 років тому

    F

  • @blackloop1861
    @blackloop1861 5 років тому

    0 dislikes yay