❖ Convolution of Two Functions ❖

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  • เผยแพร่เมื่อ 14 พ.ย. 2024

ความคิดเห็น • 75

  • @jarlhamm
    @jarlhamm ปีที่แล้ว +14

    Hi Patrick,
    I just revisited this. I'm working on a PhD now. You've been helping me learn since the remedial elementary math classes I had to take when I went into community college. You are a blessing.

  • @hmaa5723
    @hmaa5723 4 ปีที่แล้ว +19

    I've been watching your videos for five years during my undergraduate studies. Now I am a graduate student and still find these videos super helpful! No one ever can explain math as good as you! Thank you, Patrick!

  • @bobdole991
    @bobdole991 5 ปีที่แล้ว +39

    dude Patrick got me through college he's the MAN!

  • @valentine3a
    @valentine3a 6 ปีที่แล้ว +8

    Your way of teaching gives back my passion for learning. Thank you!

    • @patrickjmt
      @patrickjmt  6 ปีที่แล้ว +3

      my pleasure :)

  • @JGat19
    @JGat19 6 ปีที่แล้ว +4

    I’ve been watching your videos since middle school 7th grade... i’m a rising senior in college now and your videos are still helpful to this day!

    • @gaminglegend
      @gaminglegend 6 ปีที่แล้ว +2

      And the quality is still exactly the same as 10 years ago

    • @jasejoe8117
      @jasejoe8117 3 ปีที่แล้ว

      @@gaminglegend lol

  • @delanimpofu7259
    @delanimpofu7259 6 ปีที่แล้ว +1

    i'm about to graduate soon. i'm considering doing my honours with a mathematics major. i cannot thank you enough for all the content you post and understanding you bring. you are special. sending love, light and success from south africa.

  • @Lightning_Mike
    @Lightning_Mike 3 ปีที่แล้ว

    The very best explanation of this I've sen so far. Thank you!

  • @BusinessWolf1
    @BusinessWolf1 6 ปีที่แล้ว +4

    I am in the summer going into my 10th year of high school. Thanks for your videos, i`ll need them in the future and when i can support myself financially if i remember this channel i`ll also support you on patreon. Keep up the good work.

  • @resendeznathan
    @resendeznathan 6 ปีที่แล้ว +37

    Ah man I needed this video 2 months ago I was looking for it lol

    • @jakez082
      @jakez082 6 ปีที่แล้ว

      Stole the words right out of my mouth lol.

    • @jogofwar99
      @jogofwar99 6 ปีที่แล้ว

      Same lmao.. Bombed that test but passed the class👌

  • @botoksgonzales
    @botoksgonzales 4 ปีที่แล้ว

    Wow, Didn't much understand the topic when I was in college, but miraculously get the idea after watching your explanation. Thanks a lot

  • @Manny123-y3j
    @Manny123-y3j 3 ปีที่แล้ว

    Your videos are amazing, man. So helpful. A nice, basic example like this helps understand the process so much. Thank you.

  • @THESLOWDEATHHOOKS
    @THESLOWDEATHHOOKS 6 ปีที่แล้ว +4

    glad to see you're still making videos, patrick!

    • @patrickjmt
      @patrickjmt  6 ปีที่แล้ว +4

      yea, still making them every now and again!

  • @theloveguru7520
    @theloveguru7520 6 ปีที่แล้ว

    You are a math god and you are the best teacher

  • @DrEnginerd1
    @DrEnginerd1 6 ปีที่แล้ว +2

    Ah takes me back. The good ol’ days.

  • @TenderHip
    @TenderHip 6 ปีที่แล้ว +1

    Thank you for all the math videos :D

  • @joelwright9484
    @joelwright9484 6 ปีที่แล้ว +4

    Just in time for my electrical signals class thanks!

    • @DefectoPerfect0
      @DefectoPerfect0 6 ปีที่แล้ว +2

      Joel Wright lucky, I had my test 6hr ago. I could have used this video lol

  • @thomaspetiau2861
    @thomaspetiau2861 6 ปีที่แล้ว +1

    Hi Patrick! I have used your video for a year now and they are amaxing! I am currently doing Actuarial Science and would love some more video on Multivariable functions and there domain? Perfect thanks

  • @rojinphilip2909
    @rojinphilip2909 6 ปีที่แล้ว

    Thanks.
    Really want to know the physical significance of this. Waiting for next video.

  • @UAa320
    @UAa320 6 ปีที่แล้ว

    great video Patrick Thank you.

  • @davidsweeney111
    @davidsweeney111 6 ปีที่แล้ว +4

    great vid, what does convolution actually do, does it have a physical meaning?

    • @maxbuitendijk8456
      @maxbuitendijk8456 5 ปีที่แล้ว +3

      its fixing one function in place and sliding the other over it as a function of time. The integral is the surface the functions have shared during the time interval of the integral. This is used for i.e. analyzing the impulse response of (electrical) systems.

  • @SylComplexDimensional
    @SylComplexDimensional 6 ปีที่แล้ว

    Cannot wait to see the the theorem with proofs and more examples tied into Laplace transforms PatrickJMT now !!

    • @renpnal229
      @renpnal229 6 ปีที่แล้ว

      Sylvester Cleveland
      Here is one example related to the Laplace transform:
      L{f * g} = L{f}L{g}, where L denotes the Laplace transform.

  • @chiragpatel2423
    @chiragpatel2423 6 ปีที่แล้ว +1

    Just here for the memories.

  • @Qbabxtra
    @Qbabxtra 5 ปีที่แล้ว

    Somebody buy this man a new camera and mic! Charm or not, its about damn time.

  • @boo6681
    @boo6681 5 ปีที่แล้ว

    ure more helpful than my textbook

  • @justincook8473
    @justincook8473 6 ปีที่แล้ว

    Hey Patrick! I would appreciate it if you did a video on Euclid's Algorithm for GCDs! I had it come up in a CS class, and haven't found any amazing explanations.

  • @omega7377
    @omega7377 5 ปีที่แล้ว

    This is very convoluted material.

  • @takatotakasui8307
    @takatotakasui8307 6 ปีที่แล้ว +8

    Wow, that's a convoluted function.

  • @richardonyango826
    @richardonyango826 6 ปีที่แล้ว

    thanks for ur videos sir

  • @shalinipathak6194
    @shalinipathak6194 6 ปีที่แล้ว

    Same charm and energy after 10 years also🖤

  • @robobrain10000
    @robobrain10000 6 ปีที่แล้ว +9

    I get the math definition, but what are the practical uses for this? What exactly are you doing when you convolute two functions? How do I know when to use this formula in real life?

    • @BenjiShock
      @BenjiShock 6 ปีที่แล้ว +9

      When you have a signal that is passing through a system then the output signal will be the convolution of the signal and the system.
      You could also calculate the Fourier Transform of both and multiply and then calculate back into the time domain but that is just an example.
      Basically the multiplication in either time/frequency domain is a convolution in the frequency/time domain so you kinda switch back and forth and depending what fits your current situation best you might want to do the one or the other.

    • @renpnal229
      @renpnal229 6 ปีที่แล้ว +2

      Also, L{f * g} = L{f}L{g}, where L denotes Laplace transform.

    • @tgdhsuk3589
      @tgdhsuk3589 6 ปีที่แล้ว

      getting an a star to get to cambridge XD

    • @KingDuken
      @KingDuken 6 ปีที่แล้ว +1

      Ben did a really good job explaining this. The convolution is mainly used for signal processing. It’s the equivalent of frequency multiplication once you take the Fourier Transform. You’re essentially smashing two functions together and creating a new curve that shares attributes between the two curves you smashed together.

    • @KingDuken
      @KingDuken 6 ปีที่แล้ว +2

      One very good application is image processing and you’re filtering out noise and blur in an image. You either smooth or sharpen a picture with a mask. You convolve the mask with the picture.

  • @wrenchesinthegears
    @wrenchesinthegears 6 ปีที่แล้ว

    need that deeper explanation video before next tuesday plz :)

  • @AmitKumar-ho3mr
    @AmitKumar-ho3mr 6 ปีที่แล้ว

    Sir,with what equipments r u record ur video lectures,can u show me??i am eagerly waiting...!

  • @hbsavannah12
    @hbsavannah12 6 ปีที่แล้ว +1

    My hero

  • @KingDuken
    @KingDuken 6 ปีที่แล้ว

    Signal theory fundamentals. Interesting =)

  • @geo6956
    @geo6956 5 ปีที่แล้ว

    Would've been great if u head some Integrations using the Laplace transform.

  • @mohammadamintaheri1787
    @mohammadamintaheri1787 4 ปีที่แล้ว

    Ah man! God bless you ;)

  • @enzocalzone5298
    @enzocalzone5298 4 ปีที่แล้ว

    Thanks a bunch

  • @martinrosschou
    @martinrosschou 6 ปีที่แล้ว

    If a car cant turn dead right, to enter the road to the right; how many degrees left would it have to turn hard left first, before starting to turn hard right?

  • @pbeee2417
    @pbeee2417 ปีที่แล้ว

    Thank you

  • @rachittyagiyoutube
    @rachittyagiyoutube 6 ปีที่แล้ว

    Sir plz tell that have made tutorial on probability and statistics for engineering jl devore??

  • @ariel4778
    @ariel4778 4 ปีที่แล้ว

    how do you have math help on every topic ranging from DE calculus to signals and systems

  • @hibaabdulla4388
    @hibaabdulla4388 6 ปีที่แล้ว

    Sir,please please could you please do a video on complex variable theory, and on gamma,bessel and legendre functions,,,please please sir😳

  • @t.s8025
    @t.s8025 6 ปีที่แล้ว

    Very nice

  • @philb1798
    @philb1798 6 ปีที่แล้ว

    Sir please make a video on vendermonde determinant

  • @zeyad7947
    @zeyad7947 2 ปีที่แล้ว

    the GOAT

  • @MonderMurshed
    @MonderMurshed ปีที่แล้ว

    I love u man

  • @MA-qz1sd
    @MA-qz1sd 4 ปีที่แล้ว +1

    mathematicians and engineers need to learn to stick with same variables it would be less confusing for us dumb students thanks

  • @susiloilo
    @susiloilo 6 ปีที่แล้ว

    mantab info nya kawan jangan lupa mampir balik ya,,,,,

  • @alimuqaibel7619
    @alimuqaibel7619 4 ปีที่แล้ว

    You might find the following video helpful
    @avkc

  • @kelvinksmm8298
    @kelvinksmm8298 5 ปีที่แล้ว

    thannk youuuu!!!!!!

  • @engnano9688
    @engnano9688 6 ปีที่แล้ว

    i wish there was this video one and half years before.. bcz i had no idea what this theorem is 😂

  • @dominicj7977
    @dominicj7977 3 ปีที่แล้ว

    What does convolution mean?

  • @rockspoon6528
    @rockspoon6528 5 ปีที่แล้ว

    5:15 seconds and yet conveys more information than my professor can rabble off in 1:50...

  • @ahmedof2143
    @ahmedof2143 6 ปีที่แล้ว

    Plz..how to solve this using Laplace transform y"+2y'+3y=sint ... y(0)=0 ... y'(0)=2

  • @somacruz7758
    @somacruz7758 6 ปีที่แล้ว

    Neat 🤙

  • @bocahjeleek3932
    @bocahjeleek3932 6 ปีที่แล้ว +1

    868k subscribes 🤔

  • @shafaqshafaq1631
    @shafaqshafaq1631 6 ปีที่แล้ว

    I need to translate to Arabic lbeg you