What are the properties of delta dirac?

[loaloa]

properties of delta dirac is needed!

 

[saeed.rezaee]

Re: help!

some of them are listed:
but do not try to proove them its difficult!

1.∫δ(t)dt=1 fromε- toε+
2.δ(at)=aδ(t)
3.f(t)δ(t-t0)=f(t0)δ(t)
4.d/dt(u(t))=δ(t)
5.δ(0)=∞
6.f(t)°δ(t-t0)=f(t-t0) convlution is meant!
7.∫δ(t)^2dt=∞
8.∫δ`(t)dt=0
.
.
.

 

[suvendu]

help!

1>Area under the delta function is always unity..

 

[rooleg]

Re: help!

Saw next and think:
difficult but you can make from next code your task!

:arrow:1.∫δ(t)dt=1 fromε- toε+ then δ(at)=aδ(t) then f(t)δ(t-t0)=f(t0)δ(t) and time strukt d/dt(u(t))=δ(t)
:arrow: limit δ(0)=∞ and convlution f(t)°δ(t-t0)=f(t-t0) Summ ∫δ(t)^2dt=∞ amd limit ∫δ`(t)dt=0
Its the best? wot i Known, your mast think !!!!!!!!!!!!!:!::!::!::|