The Ultimate Continuity Battle (Example 2)

Поділитися
Вставка
  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 47

  • @blackpenredpen
    @blackpenredpen 4 роки тому +24

    This explains why I don’t have a math PhD.

    • @mrnogot4251
      @mrnogot4251 4 роки тому +2

      You could probably figure this stuff out. It’s the kind of thing that you do in an undergraduate real analysis course.

    • @chronicsnail6675
      @chronicsnail6675 4 роки тому

      Just an excuse

    • @drpeyam
      @drpeyam  4 роки тому +14

      But u have a PhD in integration hahaha

    • @darkseid856
      @darkseid856 4 роки тому +1

      I want to have PhD in horseshoe mathematics .

    • @ianmi4i727
      @ianmi4i727 2 роки тому

      Same here!! 😆

  • @wtt274
    @wtt274 Рік тому +1

    Undoubtedly Dr Peyam has a passion to teach, dedicating himself to achieving his goal . This is very appreciated !❤

  • @x-plainer
    @x-plainer 4 роки тому +7

    I was attracted with your Quadratic eqn videos from INDIA

  • @hassanalihusseini1717
    @hassanalihusseini1717 3 роки тому

    Thanks for this interesting battle. Liked it!

  • @6754bettkitty
    @6754bettkitty 4 роки тому +1

    Prove it if you want to be thorough, but the envelope functions say it all.

  • @mariosantana8233
    @mariosantana8233 3 роки тому

    Thanks! It was a very good class!

  • @bigback9226
    @bigback9226 2 роки тому

    You make math enjoyable! Thank you!

  • @joseluisvazquez4221
    @joseluisvazquez4221 4 роки тому

    Really fascinating!

  • @mahendramahendra2088
    @mahendramahendra2088 4 роки тому +2

    Speaking of continuity, can you make a video on bump function and its properties, please?

  • @chato9327
    @chato9327 4 роки тому +3

    Two "Peyam" xD

  • @rockersahab5757
    @rockersahab5757 2 роки тому

    6:02

  • @delta1996
    @delta1996 4 роки тому +2

    in 4:07 why X^2 is multiplied by 1?

    • @drpeyam
      @drpeyam  4 роки тому +7

      Oh because |sin(anything)|

    • @delta1996
      @delta1996 4 роки тому +2

      @@drpeyam thank you sir.

  • @joryjones6808
    @joryjones6808 4 роки тому

    This week on "Epic Math Battles of Histora-wy."

  • @visweshshukla
    @visweshshukla 4 роки тому +2

    Wait.
    This video was uploaded 5 hours ago then how it has comments from past 7 months?
    🤔

  • @SquareHumann
    @SquareHumann 3 роки тому +1

    6:15 WTF

  • @halloween2315
    @halloween2315 3 роки тому

    Dr peyam can i use this channel for jeee🥰🥰

  • @kaivalydaga9257
    @kaivalydaga9257 4 роки тому +1

    why is this unlisted?

    • @drpeyam
      @drpeyam  4 роки тому +7

      Because

    • @pbj4184
      @pbj4184 4 роки тому +4

      @@drpeyam Holy shit, you made this 7 months ago? Wow discipline man! If it's not too intrusive, may I ask how many days of extra content do you usually have unlisted?

    • @drpeyam
      @drpeyam  4 роки тому +5

      @PBJ A whole year lol

  • @gautampathak7653
    @gautampathak7653 4 роки тому

    At 6:56,why we want sin(1/Xn)=1

    • @drpeyam
      @drpeyam  4 роки тому +4

      To simplify things

    • @gautampathak7653
      @gautampathak7653 4 роки тому +1

      @@drpeyam thanku sir...
      Your way of teaching is awesome

  • @guill3978
    @guill3978 4 роки тому

    Hello, Peyam. As a curiosity, do you know which constant is the Erdos-Borwein constant?

    • @musik350
      @musik350 4 роки тому +1

      @@pbj4184 That's not what a troll is.

    • @pbj4184
      @pbj4184 4 роки тому

      @@musik350 Yes sorry, I think I had an misunderstanding

  • @drrobotnik5376
    @drrobotnik5376 4 роки тому

    But can u make it entertainin'! thats another skill to learn. :) magician style!

  • @chauhan.739
    @chauhan.739 4 роки тому

    Why don't you also use pokéball like your friend??

  • @joaquingutierrez3072
    @joaquingutierrez3072 4 роки тому

    Cool!!!

  • @gabrielalem123
    @gabrielalem123 4 роки тому

    Can you helpme with this equation?
    log (2-2sinx) / log (-2/√3·cos x) = 2

    • @ronaldjensen2948
      @ronaldjensen2948 4 роки тому

      First multiply both sides by log (-2/√3·cos x) to clear the fraction, then use the identity b log(x) = log(x^b) to clear the square root. Next, factor 2-2sinx as 2(1-sinx) and use the identity log(a x) = log(a) + log(x). Move the constants to one side, and the trig functions to the other. A few more identities should get you to sin(x) = 1/2

    • @gabrielalem123
      @gabrielalem123 4 роки тому

      @@ronaldjensen2948 Yes, but i'm solved graphical, there not solutions.
      Sorry by my english

    • @ronaldjensen2948
      @ronaldjensen2948 3 роки тому +1

      @@gabrielalem123 Good point. All the solutions are extraneous since they lead to division by zero

    • @sadececansu9
      @sadececansu9 Рік тому

      @@ronaldjensen2948 Hello I don't know whether I 'm missing sth or not but log2+log(1-sinx)=log(4/3cos^2) then log(4/3cos^2) -log(1-sinx)= log(4/3cos^2 /1-sinx) which brings us 4/3 cos^2*(1-sinx) isn't it like that? Isn't cos^2*(1-sinx) in the denominator and then doesn't it bring (1-sinx)^2*(1+sinx) where is my mistake I couldn't cancel out 1-sinx factors

    • @ronaldjensen2948
      @ronaldjensen2948 Рік тому +1

      @@sadececansu9 Try moving everything to one side so you have log(...)-log(...) = 0
      Then combine all the logs on the lhs so:
      log(...) = 0
      Then raise to the e to clear the logs:
      (...) = 1
      All trig from there