Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ghazi

  • 2 years ago

somebody please explain unit step function ...how come it is defined at zero...though there is a jump ...but still were are able to differentiate and integrate it from zero ....

  • This Question is Closed
  1. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    there are not really called functions ... rather generalized function and derivatives are called generalized derivatives.

  2. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it would be great if you could make that generalisation more lucid...actually i am stuck and thinking of finding it other way..

  3. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1346491565254:dw| this is your step function f(t) = u(t-t_0)

  4. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the derivative at t=t_0, would be delta(t-t_0)

  5. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1346491624874:dw|

  6. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah ... that works as a switch.

  7. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how you define derivative at 0?

  8. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    exactly that works as a switch with constant supply

  9. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    at 0, the derivative will be equal to ... value of jump times delta(t)

  10. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well don't we count for jump..i mean definition of derivative

  11. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    at this particular case ... you jump is just 1

  12. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    http://en.wikipedia.org/wiki/Dirac_delta_function

  13. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    your slope is infinite ... so this acts as inpulse. there a very nice course from mit ocw. particularly exercise.

  14. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    slope is zero i guess

  15. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it's a horizontal line

  16. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    at zero ... you have infinite slope

  17. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    impulse function has infinite slope at zero....actually point of confusion arises when i apply this concept in electrical circuit how come they consider derivative at zero or may be i am not able to correlate that properly

  18. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    working with Green's functions?

  19. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no..working with impulse ramp and unit step function....i feel contradictory

  20. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay ...i'll have to check this out

  21. experimentX
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    don't miss exercise.

  22. ghazi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sure !! thank you ...

  23. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.