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  • @Fongletto
    @Fongletto4 сағат бұрын

    You ever sometimes think that you're kind of smart, and then you come across videos like this and get depressed? Just me?

  • @rjstegbauer
    @rjstegbauer11 сағат бұрын

    Good video.

  • @GlutenEruption
    @GlutenEruption12 сағат бұрын

    I think it's pretty intuitively obvious that larger items out of place are going to be higher than the diagonal line, and since that algorithm is moving larger items to the right, it's going to form a curve.

  • @thealmightysnoood
    @thealmightysnoood17 сағат бұрын

    I think 3 brown 1 blue might sue.

  • @0xTJ
    @0xTJ19 сағат бұрын

    I'm happy that I ended up watching one of your other videos, and then subscribed. I had previously seen this video recommended to me over and over, but thought it was one of those viral sorting algorithm videos and didn't watch it. I'm happy that I was wrong, this video is very interesting and well done!

  • @lumina_
    @lumina_21 сағат бұрын

    phenomenal!!

  • @CupidGTag
    @CupidGTag21 сағат бұрын

    bogo sort

  • @ricvanesh9445
    @ricvanesh944522 сағат бұрын

    Nice video , I was hooked (I was right it was one of those a/(b+x) shenanigans)

  • @kukuster
    @kukusterКүн бұрын

    nice...

  • @RickGGb1
    @RickGGb1Күн бұрын

    So my question would be about the validity of the approximation: Given a big ebough N, H(N) ~ H(N+x) for all x>0 Which would imply that sum( 1/k ) (from 1 to n) is a Cauchy sequence in in R (which is a complete metric space). It would then imply that this sum converges. But it clearly diverges... so what am I missing?

  • @LinesThatConnect
    @LinesThatConnectКүн бұрын

    This is something I wish I had presented a little differently. It's not that if you choose a large enough N, then the approximation holds for all x. Rather, given any x, you can find N large enough that it holds. Larger x will require larger N.

  • @RickGGb1
    @RickGGb1Күн бұрын

    @@LinesThatConnect oh I get it :)

  • @noedig101
    @noedig101Күн бұрын

    The Vsauce theme at 10:38 cracked me up so hard, I thought I was gonna die of laughter. Then the "or is it?" happened and I actually did.

  • @fn9869
    @fn9869Күн бұрын

    ive been thinking of investigating this myself! im so happy to see this video

  • @afxtw1n
    @afxtw1nКүн бұрын

    not bad, and always psyched to see an homage to grant and manim, but you could have found a slightly different font, manner of speaking, timing, and general format than litterally exactly the same as 3b1b. use the same brush as monet, but make new art with it. it's distractingly familiar, like the uncanny valley.

  • @bloodakoos
    @bloodakoos2 күн бұрын

    that would be the bubble, stupid

  • @noahwhelpley2926
    @noahwhelpley29262 күн бұрын

    I've wondered about this for years, thank you!

  • @kingofgoldnessr9364
    @kingofgoldnessr93642 күн бұрын

    Omg I remember trying to create sin(x) out of products of linear functions after learning about multiplicity in high school. I was too stupid to fix the scaling issue sadly 😂

  • @DeclanCC
    @DeclanCC3 күн бұрын

    When seeing a name like "Lines that connect" I was kinda hoping for some big conspiracy theory... but I just found good work, keep it up bro.

  • @sajeucettefoistunevaspasme
    @sajeucettefoistunevaspasme3 күн бұрын

    I want to do that not seriously though, just for fun

  • @Ropsuguy
    @Ropsuguy3 күн бұрын

    Now where is the best sorting algorithm based not on what sorts fastest, but what makes the funniest noise?

  • @theendofthestart8179
    @theendofthestart81792 күн бұрын

    Radix Sort (LSD)

  • @NoenD_io
    @NoenD_io3 күн бұрын

    Hey check this out🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚓🚑🚓🚒🚑🚒🚕🚑🚒🚓🏎️🚑🚒🚓🏎️🏎️🏎️🚑🏎️🚑🏎️🚓🏎️🏎️🏎️🚓🚓🚒🚓🚒🚑🏎️🚑🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️🏎️

  • @justinneves3902
    @justinneves39024 күн бұрын

    sigma

  • @rishabtirupathi9431
    @rishabtirupathi94314 күн бұрын

    16:00 WHAT THE HELL?!?!? He just got to the formula, just like that?! With a few assumptions and a few rearrangements?! That's CRAZY!

  • @wesleysays
    @wesleysays4 күн бұрын

    Let’s create the longest reply chain ever

  • @wesleysays
    @wesleysays4 күн бұрын

    I replied so the length of the Chain is At least one

  • @matiasgarciacasas558
    @matiasgarciacasas5583 күн бұрын

    No

  • @Hositrugun
    @Hositrugun5 күн бұрын

    I'm confused, in the transition from 18:02 to 18:03, why does the sigma get replaved by an 'n'? I get that since the function being summed no longer has a 'k' in it, the sum notation can be dropped, but why is the "No longer being summed" L(N) then multiplied by n? Where does that come from?

  • @LinesThatConnect
    @LinesThatConnect4 күн бұрын

    The sum adds ln(N) once for each k value: k=1, k=2, k=3, ... up to k=n. So in total we're adding it n times, giving us n×ln(N).

  • @Hositrugun
    @Hositrugun4 күн бұрын

    @@LinesThatConnect Thanks for the reply, that explains it perfectly!

  • @ErdemtugsC
    @ErdemtugsC5 күн бұрын

    Best things in math: 1-“Let’s put a box around it” 2- cleaning up and simplifying a mess

  • @itryen7632
    @itryen76325 күн бұрын

    We sorting now, baby! LET'S GO! ELT'S GO! EGT'S LO! EGL'S TO! EGLS TO!' EGLO ST!' EGLOST!'

  • @MrSofazocker
    @MrSofazocker5 күн бұрын

    I always do a bogosort first... you know.. you might get lucky one day.

  • @theendofthestart8179
    @theendofthestart81792 күн бұрын

    Bogoat sort

  • @PrimordialOracleOfManyWorlds
    @PrimordialOracleOfManyWorlds6 күн бұрын

    is the euler-mascheroni constant related to a fractional or divisible multiple of e or pi or phi or even a trigonometric value like sin, cos, tan or sinh, cosh, tanh value? it looks too familiar, and it makes you constantly think.

  • @jayplayzlol8701
    @jayplayzlol87016 күн бұрын

    I may not have understood much but it's all fascinating

  • @berenscott8999
    @berenscott89996 күн бұрын

    Technically each iteration is faster then the previous. Technically if the if statement is true, then that iteration will take more time if more true outcomes. The reason bubble sort is inefficient is because of how CPU's process if statements. Basically, both true and false outcomes are extrapolated. Both outcomes exist. Over time perhaps the CPU will decide that false occurs more then true. So it will lean into false and backtrack whenever it's true. It's convoluted, but this is why bubble sort is inefficient.

  • @Idontdeserveanylikewhy
    @Idontdeserveanylikewhy6 күн бұрын

    Ik this cuz I accidentally click ! On Samsung calculator and I try it with 10! And the number is 1million+ and I try to figure out what is this thing

  • @Aesthetycs
    @Aesthetycs7 күн бұрын

    A method via recursive equality… I think I’ve seen it somewhere !

  • @straft5759
    @straft57597 күн бұрын

    Well, well, well, if it isn't Hyperbola

  • @LOL_1243
    @LOL_12438 күн бұрын

    Blud did not skip a single math class Nice vid

  • @bryanandhallie
    @bryanandhallie8 күн бұрын

    Holy cow he is good at transitions

  • @ozzymandius666
    @ozzymandius6669 күн бұрын

    I love getting detailed answers to strange and obscure questions that I never though to ask. Fascinating.

  • @theendofthestart8179
    @theendofthestart81792 күн бұрын

    that is the point of yt imo

  • @themike97_58
    @themike97_589 күн бұрын

    That curve is obviously the bubble. Duh.

  • @Swcher
    @Swcher9 күн бұрын

    mmmmmmmmmm, Neopolitan sorting algorithms

  • @frostz3307
    @frostz330710 күн бұрын

    that was...... genius.... holllyyyyyyyyyyy

  • @frostz3307
    @frostz330710 күн бұрын

    Or is it..... LMAOOOO

  • @JimmyBin3D
    @JimmyBin3D11 күн бұрын

    When I watch the bubble sort "bubble," my brain intuitively understands what's happening and why, but I can't for the life of me follow any of the math behind it. Why is my brain capable of understanding something intuitively that it can't understand mathematically?

  • @theendofthestart8179
    @theendofthestart81792 күн бұрын

    you dont have to believe me, but the signals in your brain are LITERALLY bypassing the logic sectors

  • @SmashingCapital
    @SmashingCapital11 күн бұрын

    What if you extend to complex numbers

  • @dabidmydarling5398
    @dabidmydarling53984 күн бұрын

    There is an elegant technique for differentiating under the integral sign that allows u to transform the sum into an integral--which makes it easier to compute complex inputs.

  • @ShannonJacobs0
    @ShannonJacobs012 күн бұрын

    Equal time per iteration assumption is bogus. No one would code it that way. Obvious comment but I'm not going to sort the 4-digit sock puppet comments. Sufficient to note that the first one is such.

  • @jmm1233
    @jmm123312 күн бұрын

    it a bubble curve inside a bubble sort , magic

  • @ommadawnDK
    @ommadawnDK12 күн бұрын

    Is the purple curve wellbb defined? It seems to be "continous line, always above the vertical lines, as close as possible, always growing"? Maybe this should have been mentioned early on, for now the definition of the purple line is...but we'll come back to this".

  • @prosto_ivan8353
    @prosto_ivan835312 күн бұрын

    Bubble sort makes bubble

  • @legasa6343
    @legasa634312 күн бұрын

    2:20 -> 13:17

  • @Fereydoon.Shekofte
    @Fereydoon.Shekofte12 күн бұрын

    Magic 🎉🎉❤❤

  • @reecec626
    @reecec62612 күн бұрын

    Brilliant!

  • @ryder1658
    @ryder165813 күн бұрын

    Wooop wood woooooooop

  • @desahanalam
    @desahanalam13 күн бұрын

    Let X,Y,Z and T be intregers with X<2Y, Y <3Z and Z < 4t... if t<100 what is the largest possible value of X?? Can solve my kid homework Sir ...please