Math Teachers Don't want you to Find This out

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  • Опубліковано 12 лис 2024

КОМЕНТАРІ • 56

  • @michael_kek
    @michael_kek 4 дні тому +39

    18:58 I'm pretty sure you meant to write "-" instead of a "+" there. 🤔

    • @PapaFlammy69
      @PapaFlammy69  4 дні тому +10

      Yup, my bad! Thanks a bunch =)

    • @johndoyle2347
      @johndoyle2347 4 дні тому

      @@PapaFlammy69 Snarky comments of denial. Mental!

  • @piotrek3650
    @piotrek3650 4 дні тому +33

    I was hoping that at least my math teacher would be honest with me, devoid of malicious intent.
    But once again I find out. Another person hiding the truth from me. Why do I always finding myself in this type of relationships?

  • @geostorm8192
    @geostorm8192 4 дні тому +5

    Interestingly enough, exponential quotients and logarithmic quotients also present this behavior. (ln^2 (x) + 1)/ln(x) has a curved asymptote of ln(x). If we distribute, we'll see that this function is equivalent to ln(x) + 1/ln(x), which at infinity is asymptotically equivalent to ln(x)

  • @mskiptr
    @mskiptr 4 дні тому +5

    Oh, I remember finding these non-linear asymptotes in high school, when I was _not listening_ to the math class lol. I was playing with polynomial division, plotting what I got and comparing that with corresponding rational functions. After trying that with like a third degree numerator divided by a first degree denominator, I got some really nice shapes and there was just no coming back!
    We had vertical, horizontal and diagonal asymptotes as part of the curriculum. But getting a parabolic one was just so much cooler and more interesting, so that is what I went to explore instead.
    edit: Long division for polynomials is also pretty cool. And so is the Horner's scheme!

  • @TommasoGianiorio
    @TommasoGianiorio 4 дні тому +9

    In italy we tend to stress the importance of asymptotes when they are linear. In that case we show students that you can find their equation just by calculating lim f(x)/x (which gives you the angular coefficient of the line, lets call it "m") and then lim f(x)-mx which will give the intercept.

    • @mskiptr
      @mskiptr 4 дні тому +1

      Here in Poland it's pretty much like that as well.

    • @TheMrAineas1
      @TheMrAineas1 4 дні тому

      Same in Greece

    • @samuelcheung4799
      @samuelcheung4799 3 дні тому

      In Baden Württemberg (a German state) this is part of the curriculum as well.

    • @dan-florinchereches4892
      @dan-florinchereches4892 3 дні тому +1

      It is also part of curriculum in Romania
      I had the idea about just dividing the polynomials too during summer break. But the Division by X limit will work for relations with square roots and everything
      @Flammy your division hurts me.
      I would just go with
      A(X)=B(X)*Q(X)+R(X)
      So R(X) is a normal polynomial not a fraction. We are interested in
      A(X)/B(X)=Q(X)+R(X)/B(X)
      Not sure why you using R(X) as a fraction straight up was so disturbing for me

  • @mattcarnevali
    @mattcarnevali 4 дні тому +7

    Math departments HATE this one simple trick!

  • @mr.inhuman7932
    @mr.inhuman7932 4 дні тому +7

    I always watch from beginning to End.

  • @ribalslim7685
    @ribalslim7685 4 дні тому +7

    My teacher taught us how to find those oblique asymptots!!! Kudos to him 😂

  • @Inspirator_AG112
    @Inspirator_AG112 3 дні тому +2

    *@[**06:17**]:* Omitting the non-leading terms is the convenient strategy for this, by the way.

  • @JohnBerry-q1h
    @JohnBerry-q1h 2 дні тому

    When he talks about dying in Mexico, I picture the 🎥 movie _The Boys From_ _Brazil,_ and all the expatriated Germans that skedaddled to Argentina. Gregory Peck was in it.

  • @ingiford175
    @ingiford175 4 дні тому +1

    I remember doing this in the 80's when learning how to hand draw various equations

  • @matthankins6206
    @matthankins6206 3 дні тому +1

    I don’t think that’s the standard approach to remainders. The remainder shouldn’t be multiplied by the quotient (I.e., you should have p(x) = q(x)g(x) + r(x), which would then imply that p(x)q(x) = g(x) + r(x)/q(x)). You directly found r(x)/q(x) and called it the remainder. Not a big deal but it sort of confuses the standard notion of a remainder.
    Also, in one of you early examples with an asymptote of 0, it could have been cool to point out that it asymptotically approaches 3/x (I might be misremembering what the constant was). The point being the inverse case isn’t two different than the case you focused on. These sorts of asymptotic equivalences are especially pretty important in engineering and physics.

    • @matthankins6206
      @matthankins6206 3 дні тому

      Also, I guess you didn’t want to stress the polynomial division, but if the denominator is a monomial, it’s easy to just split the numerator by each term and get an immediate result.
      (Maybe you me approach was based on the intended audience of this video?)

  • @JohnBerry-q1h
    @JohnBerry-q1h 2 дні тому

    You goofed the unary sign on the remainder.
    It should be…
    - (2/3x) .
    Just the same, no matter what unary sign you use, + or - , it doesn’t change the value of the overall limit. I did find it interesting that asymptotes do not have to be straight lines. I also find it interesting that the result of the polynomial division ends-up being the *line equation* of the slanted asymptote.

  • @OctavioAlvarez
    @OctavioAlvarez 4 дні тому +1

    23:07 - LOL! Greetings from Mexico hahahaha 👋 BTW, about the result in 18:38, for single term divisors like this, we can also use the shortcut of just splitting the divisor into both terms of the dividend, just like a fraction denominator but of course we would have missed the full explanation. Thanks for the great content and keep it up! [Edit: you meant -2/3x in 18:59 but it ends up not affecting]

  • @Only_Nub
    @Only_Nub 4 дні тому

    Finally a vid I understood literally anything in since this happens to the the exact topic we are currently covering in maths
    Thanks papa

  • @carly09et
    @carly09et 3 дні тому

    Hmm I tend to partial decomposition, the results are similar, but it helps find O's

  • @henryrroland
    @henryrroland 5 годин тому

    Please, a lecture about Puiseux expansion and others expansions at x → ∞

  • @sungejin9354
    @sungejin9354 День тому

    Handsome teacher

  • @ricardoparada5375
    @ricardoparada5375 4 дні тому

    Asymptotes were always pretty fun to compute in school :D

  • @VincentKok458
    @VincentKok458 4 дні тому +1

    Awesome papa flammy

  • @Raciel1894
    @Raciel1894 2 дні тому +1

    I'll probably die somewhere in Mexico (I'm mexican)

  • @shutupimlearning
    @shutupimlearning 3 дні тому

    This video is asymptotically cool

  • @schizoframia4874
    @schizoframia4874 3 дні тому +1

    5:01 you gotta get your asshole checked 🥶

  • @Wielorybkek
    @Wielorybkek 4 дні тому

    that was really cool, I only think the introduction was a bit too long before it got to the actually interesting stuff

    • @PapaFlammy69
      @PapaFlammy69  4 дні тому

      Thx for the feedback! That's why I added the timestamps =)

  • @Wielorybkek
    @Wielorybkek 4 дні тому +2

    it's actually pretty fun, you can take a sum f(x)+a(x) with literally any function f(x), like cosh(x), and add to it a(x)=1/x, 1/x^2 or something like this and get an interesting asymptote. if you want the asymptote to go really close to the function do 1/(ax^n) with some large value of a.

    • @landsgevaer
      @landsgevaer 4 дні тому

      Or, cosh(x) itself has an even more interesting curvilinear asymptote, approaching the function cosh(x)+1/x ...?
      If curvilinear asymptotes are a thing, then you cannot distinguish between which curve approaches what other.

  • @antifa_communist
    @antifa_communist 4 дні тому

    Teachers: there is no war in Ba Sing Se

  • @Chaniaaa-s8n
    @Chaniaaa-s8n 4 дні тому +13

    what about your first video

    • @PapaFlammy69
      @PapaFlammy69  4 дні тому +4

      ? wdym

    • @Darxad-po4fw
      @Darxad-po4fw 3 дні тому +2

      what about your first video

    • @symphonyofsolidarity
      @symphonyofsolidarity 3 дні тому +1

      what about your first video

    • @Chaniaaa-s8n
      @Chaniaaa-s8n 3 дні тому

      what about your first video

    • @MASTEREZA-
      @MASTEREZA- 2 дні тому

      ​@@PapaFlammy69search "oh no Daddy anata wa wuck desu" and that's your video that uploaded on 1970

  • @johndoyle2347
    @johndoyle2347 4 дні тому

    I click to learn parabolic math, ambiguities and dualities, electromagnetic applications, stable and unstable particles joining, and connections to SSS solving triangles/Big Bounce physics. You are a spooky dude, who immediately tried to muddle the mathematics and physics with he vs. she thinking. Get your head right!

  • @akirakato1293
    @akirakato1293 4 дні тому +1

    asymp-toe 🤤💀

    • @Kero-zc5tc
      @Kero-zc5tc 4 дні тому

      Get out 🔥 🗣️❗️

  • @suyunbek1399
    @suyunbek1399 2 дні тому

    You look and act exactly like Justin Hammer. Why?

  • @sHexuality
    @sHexuality День тому

    arent you a math teacher