Setting up functions with Heavisides to make Laplace transforming easier

In this video, I introduce Heaviside functions and show how to use them (using two different methods) to represent piecewise functions. The first method is easier to carry out but the second method gives a better form for taking Laplace transforms.

Пікірлер: 21

  • @dajulster
    @dajulster8 жыл бұрын

    great explanation, thanks!

  • @mankanwarsingh1616
    @mankanwarsingh1616 Жыл бұрын

    great explanation

  • @_framer
    @_framer2 жыл бұрын

    Thanks for the video! In the first example, would the last term of heaviside functions (u3-u4) be subtracted instead of added onto the equation since it is dropping at t=3?

  • @ericcytrynbaum

    @ericcytrynbaum

    2 жыл бұрын

    I included the minus sign in the function (4-t) so your suggestion would be correct if you changed that to (t-4).

  • @aishwaryapravatnalini9301
    @aishwaryapravatnalini93015 жыл бұрын

    Nice explanation

  • @Shreejaya
    @Shreejaya Жыл бұрын

    I can't get the slopes part & substracting part

  • @gradozero8140
    @gradozero8140 Жыл бұрын

    Is it possible to write a ramp than increases from 0 whenever f(x) it's 0?

  • @ericcytrynbaum

    @ericcytrynbaum

    Жыл бұрын

    I’m not sure what you mean.

  • @gradozero8140

    @gradozero8140

    Жыл бұрын

    @@ericcytrynbaum Thank you, I would like to create an Heaviside H(x) function that creates an increasing ramp whenever another function f(x) composed by irregular impulses is = 0. This is for tracking the timing between the impulses (the maximum of the ramp=time between the two specific impulses). However, I'm struggling in trying to make the ramp starting from 0, because the easiest way is to make the Heaviside = x whenever f(x) is equal 0, but in this case, the ramp starts from the actual value of x and not from 0. I would have to subtract something but I don't know what, because this is not known in advance, and if I would already know the spacing between the impulses, I wouldn't need the ramp ...

  • @ericcytrynbaum

    @ericcytrynbaum

    Жыл бұрын

    @@gradozero8140 If the impulses are at times t_i, then maybe you want something like this: g(t) = sum over i of (H(t-t_i)-H(t-t_{i+1}))(t-t_i) ?

  • @gradozero8140

    @gradozero8140

    Жыл бұрын

    @@ericcytrynbaum Thank you very much. It seems this fits well for regular impulses. But if the impulses are not regular, I'm trying to find a rule to make the ramp starting from 0 whenever f(x)=0 like H(x)=[f(x)

  • @darkhanzholtayev3224
    @darkhanzholtayev32244 жыл бұрын

    Well done, I like the explanation!

  • @nayobisfontalvo9638
    @nayobisfontalvo96384 жыл бұрын

    Gracias

  • @hugogarzza8255
    @hugogarzza82557 жыл бұрын

    there were no laplace transforms in this video. thanks by the way

  • @ericcytrynbaum

    @ericcytrynbaum

    7 жыл бұрын

    Good point. The title is a bit misleading, I guess.

  • @1729sangam
    @1729sangam3 жыл бұрын

    H(1-|t|) explanation please

  • @ericcytrynbaum

    @ericcytrynbaum

    3 жыл бұрын

    This didn't appear in the video but it's just a slick way of writing a function that is 1 for -1

  • @hubertwrobel9561
    @hubertwrobel95612 жыл бұрын

    The title sucks, indeed. but the content is great, thanks!

  • @ericcytrynbaum

    @ericcytrynbaum

    2 жыл бұрын

    Good point. Changed.

  • @ahmetbuyukumman3544
    @ahmetbuyukumman35443 жыл бұрын

    unfortunetly, you havent taught us really.and you have done it probably intentioanally.

  • @ezzaddinal-soufi3101

    @ezzaddinal-soufi3101

    2 жыл бұрын

    he made this Video not for u , so be nice if u dont unterstood what he did