The Weierstrass Definition of the GAMMA FUNCTION! - Proving Equivalence!

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  • เผยแพร่เมื่อ 23 ธ.ค. 2024

ความคิดเห็น • 55

  • @vangrails
    @vangrails 5 ปีที่แล้ว +46

    The gamma function is the gift that keeps on giving.

  • @everlastingauraX
    @everlastingauraX 5 ปีที่แล้ว +71

    The gender of this operator is left as an exercise to the reader.

    • @Nzargnalphabet
      @Nzargnalphabet 11 หลายเดือนก่อน

      Please define gender in terms of algebra, I missed the class on gender

  • @neilgerace355
    @neilgerace355 5 ปีที่แล้ว +5

    9:20 yeah I got confused last time you did this, but it makes sense to me now because you are taking the limit

  • @mihaipuiu6231
    @mihaipuiu6231 6 หลายเดือนก่อน +1

    Flammable...you are a very good teacher. Your explanation is perfect, very clean, and nice.Thanks

  • @vijayank1170
    @vijayank1170 5 ปีที่แล้ว +31

    Surely you are joking Mr Feynman

  • @ralphhebgen7067
    @ralphhebgen7067 9 หลายเดือนก่อน +2

    Ok I am going to say it. Sometimes you are supremely funny. “This is some stuff you can use to get rid of your spare time” 😂😂😂. “We can do the limit Hadoken”. That one must be the coolest way to refer to limit operations EVER. 😂😂😅

    • @PapaFlammy69
      @PapaFlammy69  9 หลายเดือนก่อน

    • @skyethebi
      @skyethebi 8 หลายเดือนก่อน

      I really hope he refers to it as a limit Hadoken when he teaches it to his students

  • @neilgerace355
    @neilgerace355 5 ปีที่แล้ว +16

    0:55 Ah, good. I've been waiting to learn about Weierstrass from someone who can pronounce it

  • @duncanw9901
    @duncanw9901 5 ปีที่แล้ว +10

    I'd say that the pi is an infinity grill. Because it looks like a literal grill.

  • @J.P.Nery.N.
    @J.P.Nery.N. 5 ปีที่แล้ว +4

    My mother language is portuguese and here the product is called "o produto", with "o" indicating it's male. So it's an infinity boiiiiiiiiiii hell yeah! Lol

  • @wraithreaper9416
    @wraithreaper9416 4 ปีที่แล้ว +3

    If you define your product in order to express n as being of the form k/k-1 then your index k has to be equals to or greater than 2, running up until n because setting k=1, as you proposed, means dividing by zero. Also, if terms on the product will be of the form (k+1)/k. index may run from 1 to n-1. Please correct me if I'm wrong, Papa Flammy.

  • @The1RandomFool
    @The1RandomFool 5 ปีที่แล้ว +2

    Infinite sum is infinity boi, infinite product is infinity grill.

  • @ylenolsreppeptgs
    @ylenolsreppeptgs 5 ปีที่แล้ว +3

    i cant wait for some of the sexy definite integrals papa is about to solve after he derives the taylor expansion for ln(gamma(1 + x))

  • @kalvin90210
    @kalvin90210 5 ปีที่แล้ว +5

    Oh my God! BRAVO 🍄 and I absolutely cannot control myself for the long-awaited digamma and polygamma functions!!!! 🍄🍄🍄

  • @leafbaguette
    @leafbaguette 5 ปีที่แล้ว

    this formula is so nice, it makes the poles at the negative integers explicit

  • @duncanw9901
    @duncanw9901 5 ปีที่แล้ว +7

    Them: what u watch
    me: polygamma function boiiiiiiii

  • @RobsMiscellania
    @RobsMiscellania 5 ปีที่แล้ว +6

    Goodbye free time

  • @rahmatkhan3982
    @rahmatkhan3982 4 ปีที่แล้ว +4

    well explained....

    • @PapaFlammy69
      @PapaFlammy69  4 ปีที่แล้ว

      thx! :)

    • @rahmatkhan3982
      @rahmatkhan3982 4 ปีที่แล้ว

      @@PapaFlammy69 can recommend me a book related to Gamma function and its analytic continuation ,because i m working on my M.phil thesis and the topic is Multiple zeta functions ,

  • @silentinferno2382
    @silentinferno2382 5 ปีที่แล้ว +3

    Where can I find that book in the intro??? I'm in desperate need of it!!!11!!!!!1!

  • @winters_4611
    @winters_4611 5 ปีที่แล้ว +12

    Do you use hagoromo chalk?

    • @everlastingauraX
      @everlastingauraX 5 ปีที่แล้ว +4

      @@PapaFlammy69 th-cam.com/video/PhNUjg9X4g8/w-d-xo.html Its a video that gets spammed on Ads. Only the cool math bois use it according to the telly.

  • @Azelide
    @Azelide 5 ปีที่แล้ว +3

    Product notation = letter Pi = Cutie Pie = female 🤣

    • @peterbrough2461
      @peterbrough2461 5 ปีที่แล้ว +2

      It's got that lemniscate above the π to suggest it's "decorated with ribbons" so I'd go with female too (if I had to make a choice) 👽.

  • @borisivanov9665
    @borisivanov9665 5 ปีที่แล้ว +2

    Product is big and boxy, so it’s a boi. Sum has a somewhat hourglass shape, so it’s the sum that must be a grill.

  • @bogdancorobean9270
    @bogdancorobean9270 5 ปีที่แล้ว +3

    Ma boi Weierstrass

  • @frozenmoon998
    @frozenmoon998 5 ปีที่แล้ว +8

    Identifying the gender of the mathematical notation would be the same as considering things about mathematicians. For example, that infinity boys, such as yourself, papa, would have to be something different than what they are - geniuses.

    • @frozenmoon998
      @frozenmoon998 5 ปีที่แล้ว

      @@PapaFlammy69 I do believe however, for the sole purpose of being brave and all, that the gender of the notation is pure engineer :)

    • @youurdream182
      @youurdream182 5 ปีที่แล้ว +2

      @@frozenmoon998 I would say that it's gender is an apache helicopter, but its only a speculation.

    • @hey4067
      @hey4067 5 ปีที่แล้ว

      Numbers have an end : scientific truth.
      - Mohamed 🆎🅰️👻 -

  • @ziacbe100
    @ziacbe100 2 ปีที่แล้ว

    what is your hodoku at 4:28, is that a Japanese anime thing?

  • @mrandersonpw53
    @mrandersonpw53 5 ปีที่แล้ว

    2 min 35 seg of introduction? Man, you are getting harder in every next video. So Savage Papa.

  • @MathematicsOptimization
    @MathematicsOptimization 5 ปีที่แล้ว +1

    But what *is* a bröh-moment?!
    -> when the autofocus is still not disabled

  • @marcorademan8433
    @marcorademan8433 5 ปีที่แล้ว +3

    Infinity gurl since the legs are open

  • @49fa75
    @49fa75 5 ปีที่แล้ว +1

    This is epic.

  • @neilgerace355
    @neilgerace355 5 ปีที่แล้ว +1

    1:30 Maskeroni ... But Germans haven't listened to Italians properly since about 1933 ... :)

  • @tanvec
    @tanvec 5 ปีที่แล้ว +1

    I'm going to use mathhematical hadouken to wake my students up

  • @jorgesponja3042
    @jorgesponja3042 5 ปีที่แล้ว

    If you multiply z in both size you will get z(gamma(z)) and since gamma(z) is (z-1)! now we will get gamma(z+1), or as bprp like to say: pi(z)
    Or am I wrong?

  • @animalfarm7467
    @animalfarm7467 5 ปีที่แล้ว

    Jetzt ist dieses Video viel interessanter als das Zählen in binär.

  • @8vabc338
    @8vabc338 5 ปีที่แล้ว +7

    I know that in Germany now is the age of a great tolerance. Some people may be offended if you ask them about their gender.

    • @8vabc338
      @8vabc338 5 ปีที่แล้ว +5

      But you can ask me for sure. My answer is: a camel.

    • @bogdancorobean9270
      @bogdancorobean9270 5 ปีที่แล้ว

      There are more than two genders

    • @8vabc338
      @8vabc338 5 ปีที่แล้ว +1

      @@bogdancorobean9270 there is a gender of confused people, plus men and women. Watch the video "why are you gay?" On youtube, it is the best video about it. Very funny, but true.

    • @8vabc338
      @8vabc338 5 ปีที่แล้ว +1

      I am talking about this video ""Why Are You Gay?" - LGBT Homosexuality Debate - Is It Natural? (FULL INTERVIEW)"

    • @angelmendez-rivera351
      @angelmendez-rivera351 5 ปีที่แล้ว

      8v ABC any video suggesting it is unnatural is scientifically innaccurate

  • @MrAssassins117
    @MrAssassins117 5 ปีที่แล้ว

    Digamma and polygamma sounds like wonder girls , so this is like an hybrid hermafrodite boi

  • @goatmatata2798
    @goatmatata2798 5 ปีที่แล้ว

    I have a humble request,,,, please create a video where u prove gauss's multiplication theorem for the gamma function, I have tried it a million times but just can't get it right,, please papa😭😭😭😭😭😭😭😭😭😭😭

  • @kuravasic
    @kuravasic 5 ปีที่แล้ว

    Can't wait to see polygamma functions!

  • @komalrajesh7429
    @komalrajesh7429 5 ปีที่แล้ว

    Sir hindi me explain kariye