Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ghazi

  • 3 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
    • 3 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
    • 3 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
    • 3 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
    • 3 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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1346491624874:dw|

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

    yeah ... that works as a switch.

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

    how you define derivative at 0?

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

    exactly that works as a switch with constant supply

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

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

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

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

  13. experimentX
    • 3 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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    slope is zero i guess

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

    it's a horizontal line

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

    at zero ... you have infinite slope

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

    working with Green's functions?

  19. ghazi
    • 3 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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

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

    don't miss exercise.

  22. ghazi
    • 3 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.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy