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ghazi

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 ....

  • one year ago
  • one year ago

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

    • one year ago
  2. ghazi
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    it would be great if you could make that generalisation more lucid...actually i am stuck and thinking of finding it other way..

    • one year ago
  3. experimentX
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    |dw:1346491565254:dw| this is your step function f(t) = u(t-t_0)

    • one year ago
  4. experimentX
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    the derivative at t=t_0, would be delta(t-t_0)

    • one year ago
  5. ghazi
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    |dw:1346491624874:dw|

    • one year ago
  6. experimentX
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    yeah ... that works as a switch.

    • one year ago
  7. ghazi
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    how you define derivative at 0?

    • one year ago
  8. ghazi
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    exactly that works as a switch with constant supply

    • one year ago
  9. experimentX
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    at 0, the derivative will be equal to ... value of jump times delta(t)

    • one year ago
  10. ghazi
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    well don't we count for jump..i mean definition of derivative

    • one year ago
  11. experimentX
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    at this particular case ... you jump is just 1

    • one year ago
  12. experimentX
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    http://en.wikipedia.org/wiki/Dirac_delta_function

    • one year ago
  13. experimentX
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    your slope is infinite ... so this acts as inpulse. there a very nice course from mit ocw. particularly exercise.

    • one year ago
  14. ghazi
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    slope is zero i guess

    • one year ago
  15. ghazi
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    it's a horizontal line

    • one year ago
  16. experimentX
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    at zero ... you have infinite slope

    • one year ago
  17. ghazi
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    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

    • one year ago
  18. experimentX
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    working with Green's functions?

    • one year ago
  19. ghazi
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    no..working with impulse ramp and unit step function....i feel contradictory

    • one year ago
  20. ghazi
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    okay ...i'll have to check this out

    • one year ago
  21. experimentX
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    don't miss exercise.

    • one year ago
  22. ghazi
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    sure !! thank you ...

    • one year ago
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