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 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 ....
 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 ....

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experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2there are not really called functions ... rather generalized function and derivatives are called generalized derivatives.

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1it would be great if you could make that generalisation more lucid...actually i am stuck and thinking of finding it other way..

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1346491565254:dw this is your step function f(t) = u(tt_0)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2the derivative at t=t_0, would be delta(tt_0)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2yeah ... that works as a switch.

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1how you define derivative at 0?

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1exactly that works as a switch with constant supply

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2at 0, the derivative will be equal to ... value of jump times delta(t)

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1well don't we count for jump..i mean definition of derivative

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2at this particular case ... you jump is just 1

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2your slope is infinite ... so this acts as inpulse. there a very nice course from mit ocw. particularly exercise.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2at zero ... you have infinite slope

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1impulse 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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2working with Green's functions?

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1no..working with impulse ramp and unit step function....i feel contradictory

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1okay ...i'll have to check this out

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2don't miss exercise.
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