Euler's Formula Poem

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  • Опубликовано: 11 сен 2024
  • A poem about why e to the pi i equals -1, based on this video: • e to the pi i, a nontr...
    Full text of the poem here: 3blue1brown.com...
    Music: "Sundays" by Time for Three, www.tf3.com/

Комментарии • 148

  • @BenjaminAlexander
    @BenjaminAlexander 8 лет назад +438

    RUclips suggested you to me. They are doing something right: you are my new math crush.

  • @chipledorf
    @chipledorf 8 лет назад +237

    Finally, I have seen every video on this channel. I like that this was last. Don't ever stop producing content!

    • @3blue1brown
      @3blue1brown  8 лет назад +166

      +chipledorf Thanks, I'll try not to :) Also, I know it's silly, and less viewed that other ones, but this video actually remains one of my favorites.

    • @finlaywelford4339
      @finlaywelford4339 8 лет назад +7

      Because it's with pi and not tau

    • @kasperm.r.guldberg7354
      @kasperm.r.guldberg7354 7 лет назад +9

      Very well done. As a PhDc in English Lit with a great fondness for math, I admire and respect this poem in many ways! By the way, the word "perplex" is sorely underused by mathematicians, in my opinion - but you went toward righting the balance. Keep up the good work!

    • @robertingliskennedy
      @robertingliskennedy 7 лет назад +1

      abstruse, but never perplexed by definition

    • @Linguages2024
      @Linguages2024 6 лет назад +4

      You know what, I think it's less viewed because this video is a pure proof of global intelligence you use the art part of the brain, the compute part with a mathematician sense of aesthetic in all this field. You're definitely a genius! Thanks for your content which really shows to the world how beautiful are mathematics!

  • @avavaviv1
    @avavaviv1 7 лет назад +134

    Famously
    start with e,
    raise to π
    with an i,
    we've been taught
    by a lot
    that you've got
    minus one.Can we glean
    what it means?
    For such words
    are absurd.
    How to treat
    the repeat
    of a feat
    πi times?This is bound
    to confound
    'til your mind
    redefines
    these amounts
    one can't count
    which surmount
    our friend e.Numbers act
    as abstract
    functions which
    slide the rich
    2d space
    in its place
    with a grace
    when they sum.Multiplied,
    they don’t slide,
    acting a
    second way.
    They rotate,
    and dilate,
    but keep straight
    that same plane.
    Now what we
    write as e
    to the x
    won’t perplex
    when you know
    it’s for show
    that “x” goes
    up and right.
    It does not,
    as you thought,
    repeat e
    product e.
    It functions
    with gumption
    on functions
    of the plane.
    It turns slides
    side to side
    into growths
    and shrinks both.
    Up and downs
    come around
    as turns round,
    which is key!
    This is why
    π times i,
    which slides north
    is brought forth
    and returned,
    we have learned,
    as a turn
    halfway round.
    Minus one,
    matched by none,
    turns this way,
    hence we’re done.

    • @DeepakYadav-rr6dx
      @DeepakYadav-rr6dx 4 года назад +4

      You have committed an error : it function with gumption on functions we have now seen.

  • @user-cn4qb7nr2m
    @user-cn4qb7nr2m 8 лет назад +46

    Its hard to describe by words how great your work is!

  • @palvindarchhokar9821
    @palvindarchhokar9821 7 лет назад +14

    My gosh, I've only seen 3 of your videos and I'm greatly impressed with the quality of production and content, rapidly becoming one of my favourite channels!

  • @WaffleSmoof
    @WaffleSmoof 8 лет назад +34

    Alright now your just showing off

  • @frohsinnfahrt8329
    @frohsinnfahrt8329 8 лет назад +51

    "What e to the i pi plus one?" Rene hears
    "Nothing," he thinks -- so Descartes disappears

    • @ratajs
      @ratajs 5 лет назад

      Isn't it -e?

    • @dragonsdream4236
      @dragonsdream4236 4 года назад +1

      @@ratajs it's 0

    • @ratajs
      @ratajs 4 года назад +1

      @@dragonsdream4236 e^(iπ+1)=e^(πi)*e^1=(-1)*e=-e

    • @dragonsdream4236
      @dragonsdream4236 4 года назад +2

      @@ratajs e^iπ +1 = -1 +1 = 0

    • @dragonsdream4236
      @dragonsdream4236 4 года назад

      @@ratajs e*i*(π+1) = ~2.718281828459045*i*4.14159265358979
      = ~9.53973422i

  • @fernautilus9863
    @fernautilus9863 6 лет назад +4

    I love him. I love this channel. THANK YOU FOR QUALITY CONTENT

  • @cephastay2144
    @cephastay2144 Месяц назад +1

    I’m here 8years late however I would love to see your reactions to the stickman math animations. Your explanation of how to think of numbers and all we do to them as actions on a scale brought a new perspective to me. It made rewatching that animation much more enjoyable and interesting ❤

  • @MrRyanroberson1
    @MrRyanroberson1 8 лет назад +29

    Epic rap battles ought to feature you sometime.

  • @ishaanlohani5326
    @ishaanlohani5326 4 года назад +2

    Now I knew how you actually make your animations
    I mean as I know you don't need MANIM FOR THAT

  • @Ismn
    @Ismn 9 лет назад +28

    One might argue that using tau = 2pi would be more satisfactory :)

    • @3blue1brown
      @3blue1brown  9 лет назад +120

      Fixed poorly in notation with that two,
      you shine so loud that you deserve a name.
      Late though we are, to make a change it's true,
      We can extol you ‘til you have pi's fame.
      One might object, "Conventions matter not!
      Great formulae cast truths transcending names."
      I've noticed, though, how language molds my thoughts;
      the natural terms make heart and head the same.
      So lose the two inside your autograph,
      then guide our thoughts without you "better" half.

    • @Richard_is_cool
      @Richard_is_cool 9 лет назад +23

      +3Blue1Brown REKT!

  • @Darkenedbyshadows
    @Darkenedbyshadows 8 лет назад +20

    This is my favourite video for most likely the rest of my life. :D

  • @arashakhavan8496
    @arashakhavan8496 8 лет назад +17

    you must be a genius !!! I love your channel! keep going , wish you the best!

    • @3blue1brown
      @3blue1brown  8 лет назад +19

      Thanks. I will definitely always keep making videos for this channel, even if it is slow-going at times.

    • @roycebracket276
      @roycebracket276 8 лет назад +3

      Thank you

  • @ydhakal77
    @ydhakal77 2 года назад +1

    How come I missed this for so long.
    Thanks to me, I was checking your very first videos and thanks to you that you made this.

  • @SabyasachiGhosh1618
    @SabyasachiGhosh1618 8 лет назад +13

    I have ended up seeing this video maybe 20 times in two days. :3

  • @green0563
    @green0563 4 года назад +3

    I love this video, and I absolutely love your channel. My favourite channel on RUclips, and that's saying something, you beat the likes of Vsauce, Kurzgesagt, Veritasium, and Tom Scott.

  • @amrutavishwakarma2400
    @amrutavishwakarma2400 4 года назад +4

    They should make a button to like a video multiple times!!

  • @massimopesavento5816
    @massimopesavento5816 8 лет назад +4

    Oh my.
    This is the most amazing thing I've ever seen in my life

  • @Sergio_Loureiro
    @Sergio_Loureiro 6 лет назад +2

    Famously
    start with e,
    raise to π
    with an i.
    we've been taught
    by a lot
    that you've got
    minus one.
    Can we glean
    what it means?
    For such words
    are absurd.
    How to treat
    the repeat
    of a feat
    πi times?
    This is bound
    to confound
    'til your mind
    redefines
    these amounts
    one can't count
    which surmount
    our friend e.
    Numbers act
    as abstract
    functions which
    slide the rich
    2d space
    in its place
    with a grace
    when they sum.
    Multiplied,
    they don’t slide,
    acting a
    second way.
    They rotate,
    and dilate,
    but keep straight
    that same plane.
    Now what we
    write as e
    to the x
    won’t perplex
    when you know
    it’s for show
    that “x" goes
    up and right.
    It does not,
    as you thought,
    repeat e
    product e.
    It functions
    with gumption
    on functions
    of the plane.
    It turns slides
    side to side
    into growths
    and shrinks both.
    Up and downs
    come around
    as turns round,
    which is key!
    This is why
    π times i,
    which slides north
    is brought forth
    and returned,
    we have learned,
    as a turn
    halfway round.
    Minus one,
    matched by none,
    turns this way,
    hence we’re done.

  • @rumpelRAINS
    @rumpelRAINS 9 лет назад +3

    these videos are fantastic hope to see more of them in the future. thank you.

  • @sinaicoons
    @sinaicoons 3 года назад +1

    (Two black holes merging)
    Voyage.
    “I go to a valley of unspoken dreams,
    Because there for a time,
    There is no time,
    It is - just you and I,
    In this voyage.”
    Sinai

  • @shreyasraut6224
    @shreyasraut6224 8 лет назад +3

    oh wow....just superb....Those words go on my desk .....super cooollll

  • @internetizmyhome
    @internetizmyhome 5 лет назад +2

    Was ... was that meant to clarify the previous video?

  • @zackkelvington138
    @zackkelvington138 6 лет назад +1

    I encountered a problem on my pre-calc homework that had the answer, x=logbase3 (-3). The answer is nonreal and after falling in love with your videos. I knew you could help me. Thanks.

  • @jakemccool1495
    @jakemccool1495 2 года назад

    Just found this, truly a masterpeice

  • @anandchitchat6411
    @anandchitchat6411 8 лет назад

    Euler's search brought me here and thank you pi pi much, keep us entertaining and sharing understanding with your future videos :) :)

  • @gauravpawar1416
    @gauravpawar1416 7 лет назад +6

    This is epic!!! I'm a huge fan :)

  • @sinaicoons
    @sinaicoons 4 года назад +1

    I loved every single second.

  • @soraaoixxthebluesky
    @soraaoixxthebluesky 2 года назад

    Me: "Hey Google. Show me a sad love quotes"
    Google: "There you have it"

  • @hyungilkoo9340
    @hyungilkoo9340 4 года назад +1

    More of a rap, but I love it

  • @poisionivy2006
    @poisionivy2006 Месяц назад +1

    eulers formula rap when

  • @abbaskagdi1
    @abbaskagdi1 7 лет назад +2

    beautiful

  • @The-Rest-of-Us
    @The-Rest-of-Us Год назад

    Beautiful ❤

  • @knrajitharukmendar6404
    @knrajitharukmendar6404 5 лет назад

    Read Euler... Read Euler.... He is the master of all....

  • @mrshah2043
    @mrshah2043 6 лет назад

    beautiful, elegant and powerful

  • @skyzess90
    @skyzess90 2 года назад

    I'm in 8th grade, and i really enjoy your content. Good luck with your channel!

  • @debmalyalodh1
    @debmalyalodh1 3 месяца назад

    9 years later

  • @sinaicoons
    @sinaicoons 4 года назад +1

    One of the book I’m currently reading is “On the Shoulders of Giants” by Professor Stephen Hawking. 🌌🔭
    Pg. 30.
    “But we should rather follow the wisdom of nature, which, as it takes very great care not to have produced anything superfluous or useless, often prefers to endow one thing with many effects. And though all these things are difficult, almost inconceivable, and quite contrary to the opinion of the multitude, nevertheless in what follows we will with God’s help make them clearer than day-at least for those who are not ignorant of the art of mathematics.” 🌌🔭📚

  • @theleastcreative
    @theleastcreative 8 лет назад +2

    this is amazing! is the text printed somewhere?

    • @theleastcreative
      @theleastcreative 8 лет назад +2

      just kidding, I should have checked the description first

  • @adityakundu3615
    @adityakundu3615 4 года назад +1

    Top 10 rappers eminem was too afraid to diss.

  • @Jerrythegiraffe637
    @Jerrythegiraffe637 2 года назад

    oh, I just.. LOVE IT

  • @sinaicoons
    @sinaicoons 3 года назад

    (Two black holes merging)
    Spacetime.
    “Under the constellations,
    In this voyage;
    Slowly and all at once,
    Our love - made ripples,
    Throughout the cosmos.”
    Sinai.

  • @yoyoyuan
    @yoyoyuan 4 года назад

    Memorized.

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 5 месяцев назад

    A positive number (e) raised to any power can't be negative. Only dorks can pretend they don't see the ridiculeness of that equation.

  • @mariafe7050
    @mariafe7050 3 года назад +1

    Least viewed
    3Blue1Brown video.

  • @gustavkrogsbygaard3254
    @gustavkrogsbygaard3254 6 месяцев назад

    send this into space and see how the aliens respond

  • @hauntedcupoftea
    @hauntedcupoftea 7 лет назад +3

    We need rap battles

  • @ramraj4321
    @ramraj4321 7 лет назад

    this was best trip
    Its great you should make more videos like this ,

  • @szoferniymoze1054
    @szoferniymoze1054 6 лет назад +1

    keep up the good work i must try that in my own language

  • @Shikhar168
    @Shikhar168 9 лет назад

    Hey, wasn't that the guy from MinutePhysics? Nice seeing you here.

  • @carlkrosnick5180
    @carlkrosnick5180 4 года назад

    i admire you

  • @redox5269
    @redox5269 7 лет назад +10

    This is better than sex.

    • @hindigente
      @hindigente 7 лет назад +23

      And lasts longer too.

    • @roshsurana
      @roshsurana 7 лет назад +1

      You last less than a minute?

  • @edi7538
    @edi7538 6 лет назад

    Why such a good video has just 52 k views?

  • @codenamelambda
    @codenamelambda 9 лет назад

    great work you did here.

  • @akankshasharma7498
    @akankshasharma7498 3 года назад

    Had to pause multiple times, but understood 👍

  • @darsshhanl325
    @darsshhanl325 3 года назад

    So this is how it all started ?

  • @tux1468
    @tux1468 2 года назад

    damn, spittin bars

  • @manicmath3557
    @manicmath3557 3 года назад

    Dang grant has flow

  • @aaale376
    @aaale376 5 лет назад

    RIP

  • @fishyboo8002
    @fishyboo8002 3 года назад +1

    This is actually a rap

  • @swift3564
    @swift3564 5 лет назад

    Basically a summary of 3B1B first video

  • @joseleperez8742
    @joseleperez8742 7 лет назад +1

    BRAVO!!

  • @davutsauze8319
    @davutsauze8319 4 года назад

    Now THIS is pure rap

  • @Phoniv
    @Phoniv 8 лет назад +1

    brilliant!

  • @52.yusrilihsanadinatanegar79
    @52.yusrilihsanadinatanegar79 4 года назад

    Now I understand.

  • @GetMoneyCorporateA
    @GetMoneyCorporateA 6 лет назад

    In the words of Dr Strange....Teach me.

  • @zyansheep
    @zyansheep Год назад +1

    Yoo, youtube brought back sort by oldest!

  • @israamohamed7160
    @israamohamed7160 6 лет назад

    very fantastic

  • @rawnukles
    @rawnukles 9 лет назад

    umm...I think you forgot to carry the 2

  • @sumirunihon
    @sumirunihon 6 лет назад

    When you see someone's first mixed tape.

  • @mathanalogies9765
    @mathanalogies9765 3 года назад

    Epic! I have a video on why this identity is overrated coming out on 4/20. Swing by to chill!

  • @jacksonforner4868
    @jacksonforner4868 7 лет назад

    so cute!

  • @otesunki
    @otesunki 6 лет назад

    Thanks. I now understand it.

  • @ERROR-ei5yv
    @ERROR-ei5yv 2 года назад

    If Dr. Suess was a mathematician...

  • @CompBioQuest
    @CompBioQuest 6 лет назад

    please, moreeeeee :3

  • @Zaillith
    @Zaillith 7 месяцев назад

    Yes

  • @yuzezhou2769
    @yuzezhou2769 9 лет назад

    What is this proof called?

  • @Moinsdeuxcat
    @Moinsdeuxcat 8 лет назад

    As clear as it is, it doesn't convince me as much as saying sum((i*pi)^n/n!) = -1

  • @IslamBenfifi
    @IslamBenfifi 5 месяцев назад

    This is how Medieval mathematicians actually wrote down their mathematical arguments in the Islamic world

  • @mustafaercumen3187
    @mustafaercumen3187 5 лет назад

    That is awesome. 😊

  • @RapGeneral11
    @RapGeneral11 8 лет назад +1

    Thats good man!!!

  • @cloverisfan818
    @cloverisfan818 Год назад

    sing this to the tune of chopin etude op 25 no 9

  • @blqkvo
    @blqkvo 8 лет назад +1

    Haha, this was great!

  • @nikhilnagaria2672
    @nikhilnagaria2672 2 года назад

    Less than a hundred and fifty comments !?!?!?

  • @lateefahmadwanilaw8948
    @lateefahmadwanilaw8948 3 года назад

    amazing!!!!!!!!!!!!!!11

  • @itsiwhatitsi
    @itsiwhatitsi 5 лет назад

    If Euler were a rapper

  • @vibe_co1402
    @vibe_co1402 4 года назад

    My brain hurts

  • @30indrayudhdas28
    @30indrayudhdas28 4 года назад +1

    Anyone from 2019??

  • @saurabhnegi9636
    @saurabhnegi9636 6 лет назад

    awesome

  • @its_tomothy
    @its_tomothy 7 лет назад

    Oh.. Okay.

  • @carlosmartinez5085
    @carlosmartinez5085 8 лет назад

    素晴らしいです!

  • @teddycouch9306
    @teddycouch9306 5 лет назад

    This is the only good math poem i have ever seen.

  • @anantkhairatkar
    @anantkhairatkar 8 лет назад

    great

  • @Mmshh
    @Mmshh 6 лет назад

    checkmate

  • @adamnehme151
    @adamnehme151 3 года назад

    2021 anyone?

  • @hkw3169
    @hkw3169 2 года назад

    Damn…

  • @arijitmajumder478
    @arijitmajumder478 5 лет назад

    Wow💓

  • @Richard-qs8dn
    @Richard-qs8dn 5 лет назад

  • @wolfelkan8183
    @wolfelkan8183 4 года назад

    Anapestic monometer, AABBCCCX