Trigonometric Expansions from Complex Numbers (1 of 3: Concept map)

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  • เผยแพร่เมื่อ 22 ธ.ค. 2024

ความคิดเห็น • 25

  • @joepunk90
    @joepunk90 3 ปีที่แล้ว +8

    "Good morning Aaron, thanks for joining us"
    Classic! :) :)

  • @ranasavana
    @ranasavana 3 ปีที่แล้ว +6

    Eddie is the best maths teacher ever , convince me otherwise

  • @Traftmine
    @Traftmine 3 ปีที่แล้ว +3

    Hi from France, your prononciation of "De Moivre" was kinda fun, you were almost at the right pronunciation haha ; thanks for the lesson

  • @sunzwiked123
    @sunzwiked123 3 ปีที่แล้ว

    Eddie Woo helped me understand a CS problem from one of his videos back in 2012. Ever since I've been subscribed to this channel. I am no math guy who watches his every video but I am happy he pops up on my TH-cam timeline every now and then 😂

  • @leesmith9299
    @leesmith9299 3 ปีที่แล้ว +20

    i have absolutely no reason to be learning this stuff but it's fun

  • @pratikgoswamiiitbombay8767
    @pratikgoswamiiitbombay8767 3 ปีที่แล้ว +4

    Sir love from India
    I love maths

  • @ummedtomar4415
    @ummedtomar4415 3 ปีที่แล้ว +9

    Im from india 🇮🇳 sir thank you so much 🙏

    • @HolyG-sus
      @HolyG-sus 3 ปีที่แล้ว +2

      India yay

  • @PauxloE
    @PauxloE 3 ปีที่แล้ว +2

    5:45 Multiplying by purely imaginary numbers is *not* a pure rotation (except for i and -i). Multiplying by numbers with modulus |z| = 1 is a pure rotation.

    • @seanclough7810
      @seanclough7810 3 ปีที่แล้ว +1

      and here I thought a rotation had to do with a change in argument (even if the resultant argument is the same as the initial) and nothing about the modulus or magnitude regarding initial and terminal ... purely, but I'm not a mathematician, so what do I know, really? (Nor and English major with that run-on sentence with no initial capital ... and to start with 'and' ...)

    • @PauxloE
      @PauxloE 3 ปีที่แล้ว +1

      @@seanclough7810 True, rotation is when the argument changes. The "pure rotation" is when also the modulus stays the same. In term of the w → z·w map (multiplication by z), it's a pure scaling (without rotation component) when z is positive real (i.e. arg(z) = 0) , and a pure rotation (without scaling component) when |z| = 1. (When we have both, it's z = 1 (a trivial scaling and trivial rotation).)

    • @seanclough7810
      @seanclough7810 3 ปีที่แล้ว +1

      @@PauxloE Obviously I know not the word set used for this stuff. Going to try and spell vernacular now. But you wom't catch me calling an eigenvector with the same magnitude by that name. That is true enough.

  • @bartlomiejodachowski
    @bartlomiejodachowski 3 ปีที่แล้ว +3

    I need more!!! Thxxxxx

  • @BloobleBonker
    @BloobleBonker 3 ปีที่แล้ว +1

    Lovely presentation thanks.

  • @vanshgamer2151
    @vanshgamer2151 3 ปีที่แล้ว +1

    I am from india
    You are the best

  • @zainabkazmi3770
    @zainabkazmi3770 3 ปีที่แล้ว +1

    Literally gonna pass maths because of you

  • @hamzabouzid7508
    @hamzabouzid7508 3 ปีที่แล้ว

    Awesome thank you so much sir
    I have studied the complex numbers the years before in my secondary school but i didn't understand it, but now after watching your lessons and explications i can solve hard exercises
    Thanks a lot sir you're the best 👏😁

  • @AlokMauryaOfficial
    @AlokMauryaOfficial 3 ปีที่แล้ว

    Sir, Can you tell which writing software or app are you using here ?

  • @HolyG-sus
    @HolyG-sus 3 ปีที่แล้ว +3

    I'm happy

  • @vineet5701
    @vineet5701 3 ปีที่แล้ว +1

    Love u sir

  • @Xgaze17
    @Xgaze17 3 ปีที่แล้ว

    DHAMALASTICB👍🏻❤️

  • @hedwegg
    @hedwegg 3 ปีที่แล้ว +1

    To the Quik: Great Teacher! A [Real Number] attached by an [Imaginary Number] = a [Complex Number]! (i)!
    Amen.

  • @jorgesantos6447
    @jorgesantos6447 3 ปีที่แล้ว

    This is an excellent lesson to fall asleep

  • @1luke_
    @1luke_ 3 ปีที่แล้ว

    Dam that looks super hard