3 of your favourite constants courtesy of this cool integral

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  • Опубліковано 29 лис 2024

КОМЕНТАРІ • 42

  • @stevenkrantz6580
    @stevenkrantz6580 6 місяців тому +29

    i just hit 6 plates on deadlift before watching this

    • @maths_505
      @maths_505  6 місяців тому +5

      Chad 🔥🔥🔥

    • @sankarshanacharya7615
      @sankarshanacharya7615 6 місяців тому

      Both sides or one?

    • @shivamdahake452
      @shivamdahake452 6 місяців тому +1

      Based.
      How long have you been training ? I was injured in the back 3 months ago, lack of bracing and poor core stability punished me. I am now building up to a 100 kg for 3 reps deadlift, proper form this time.
      (Yes I am new to this)

    • @sankarshanacharya7615
      @sankarshanacharya7615 6 місяців тому

      @@stevenkrantz6580 Thank you. I just thought it was 6 on each side (with a little thinking, I realized that was a mistake.).

    • @stevenkrantz6580
      @stevenkrantz6580 6 місяців тому +1

      @@sankarshanacharya7615 i misread ur questions my fault g. 6 plates on each side. 585 lbs

  • @csilval18
    @csilval18 6 місяців тому +2

    I can't believe I saw the thumbnail and was able to work it out before seeing the video. Felt proud. Thnx for the video

  • @orionspur
    @orionspur 6 місяців тому +6

    The vampire bit reminded me: In grad school one of the other students was Tan Wang. He had an office, but I never, ever saw him. I assume he spent a LOT of time outside. 🤔

  • @shanmugasundaram9688
    @shanmugasundaram9688 3 місяці тому

    There is a sign error in the answer.But it doesn't affect while you apply it for specific values.

  • @MrWael1970
    @MrWael1970 6 місяців тому

    Nice integral. Thanks for your continuous featured effort.

  • @shivamdahake452
    @shivamdahake452 6 місяців тому

    One of the few videos I actually understood, as I have solved the gaussian integral in the past (3 blue 1 brown comes in clutch).
    I agree, I never go outside (I have a home gym)

  • @stevejobs6466
    @stevejobs6466 6 місяців тому +1

    Nice touch with the golden measure!

  • @bandishrupnath3721
    @bandishrupnath3721 6 місяців тому

    The intro OMGGG, and the 3 constants at the end ,always wanted to see a result with specifiaclly those 3 constants and here it is ..
    The fire content❤ of u solving upper esh

  • @alelcruk
    @alelcruk 6 місяців тому

    7:22 isn't the golden ratio (1+√5)/2 ? maybe if you let -ln(x)=u in your first substitution u might get the golden ratio result. Or if you let alpha=-√5 instead of +√5. Loved this integral btw.

  • @spoperty4940
    @spoperty4940 6 місяців тому

    As pointed out by Khamul7618, I(alpah,beta)=sqrt(pi/beta)*e^((alpha-1)^2/4beta), without the minus in the exponent, this carried on from a mistake at 5:30, i got a bit confused myself when numeric aproxximation didn't match the result.

  • @polpotify
    @polpotify 6 місяців тому

    The title of this movie would be “An integration with the Vampire”

  • @Calcprof
    @Calcprof 6 місяців тому +1

    I think all you need for convergence is Re(β)>0.

    • @maths_505
      @maths_505  6 місяців тому

      Yeah that makes sense.

  • @CM63_France
    @CM63_France 6 місяців тому +1

    Hi,
    "ok, cool" : 1:33 ,
    "terribly sorry about that : 3:16 , 5:46 .

    • @maths_505
      @maths_505  6 місяців тому +1

      My okay cool's have decreased. Time to up the intensity!!!

    • @CM63_France
      @CM63_France 6 місяців тому

      @@maths_505 Don't pay too much attention to my count, it's just a joke for me but we appreciate a certain naturalness 🙂 .
      Other thing : I saw a reduced form of the gamma function on Wikipedia : a ratio of 2 infinite products. This will help me to find a fraction decomposition, I hope.

  • @abdulllllahhh
    @abdulllllahhh 6 місяців тому +3

    i dont know how you made it through the video while saying “2b” so many times without saying “2b or not 2b” at least once

  • @Khamul7618
    @Khamul7618 6 місяців тому +6

    I think I found a small mistake. There should be no minus sign at 5:30

    • @spoperty4940
      @spoperty4940 6 місяців тому

      you're right, which carries on upto the last bit, I(sqrt(5),1)=sqrt(pi)e^(1-sqrt(5)/2)^2 without the minus in the exponent

  • @giuseppemalaguti435
    @giuseppemalaguti435 6 місяців тому +2

    Diventa, con lnx=t,un integrale di Gauss...I=√(π/β)exp((α-1)^2/4β))

  • @Aditya_196
    @Aditya_196 6 місяців тому +1

    0:24 😭😂 bro is so right

  • @ua3avr213
    @ua3avr213 6 місяців тому +1

    Exponent of result has to be positive, not negative

  • @ayoubnasmi6794
    @ayoubnasmi6794 6 місяців тому

    You could use gaussian Fourier transform much easy

  • @turbokox4822
    @turbokox4822 6 місяців тому +1

    astonishing

  • @OptiInfo00
    @OptiInfo00 6 місяців тому

    Hello Mr Jamal, I was trying to re-watch your video about tensors but I couldn't find it. Did you delete it or I am the one who can't find it?

  • @jameyatesmauriat6116
    @jameyatesmauriat6116 6 місяців тому

    Sorry if I’m not mature enough in advanced integrals or even basic concepts, why after minute 4:00 you changed the two squared expressions signs and places when raised to e?

    • @wowbagger7168
      @wowbagger7168 6 місяців тому +1

      Look at the definition of Integral I at the beginning.

    • @circuitcraft2399
      @circuitcraft2399 6 місяців тому

      The integral involved the negative of _that expression_ as the power of e.

  • @3manthing
    @3manthing 6 місяців тому

    7:50 I did learn something new today. You had me completely fooled, into thinking you're a mortal! Moreover, taking into consideration of you being a vampire, I find it wild that your favorite band are the Arctic Monkeys, and not Vampire Weekend or something similar. 🧛‍♂😁

  • @sudhamishra6596
    @sudhamishra6596 14 днів тому

    Italian voice, very cool cool 😂😂😂

  • @nathanmenezes7914
    @nathanmenezes7914 6 місяців тому

    At 3:57 shouldn't it be 4B^2 instead of 4B?

    • @circuitcraft2399
      @circuitcraft2399 6 місяців тому +1

      The beta that got distributed canceled with one of them.

  • @Mr_Mundee
    @Mr_Mundee 6 місяців тому

    are you trying to be hungarian or romanian

  • @Jalina69
    @Jalina69 6 місяців тому

    Get some rest ❤

  • @lakshay3745
    @lakshay3745 6 місяців тому +1

    your russian voice is so sexy omg