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What do the < > in the last line mean?

You are currently reading a thread in /sci/ - Science & Math

Thread replies: 13
Thread images: 1
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What do the < > in the last line mean?
>>
Produit scalaire dans l'espace des distributions
>>
>>8087074
thanks friend
now if only i understand how to use it
>>
>>8087089
un produit scalaire dans un espace de fonctions est l'integrale de leur produit, d'habitude
>>
>>8087089
depends what course you're doing.

If it's engineering related, you only need to use this:
[math]\int \delta (t) f(t) dt = f(0) [/math]

If you're doing math, sometimes you might need to derive the distributional derivative of a function, and you have to use another property.
>>
>>8087071
sometimes it means inner product
>>
>>8087097
>>8087094
and what is φ? I understand ∫δ(t)f(t)dt=f(0) this part but what is φ?
>>
>>8087071
Inner product. In this context probably the integral >>8087097 writes.
>>
>>8087074
Omelette du fromage?
>>
>>8087118
[math]\phi(t)[/math] is just any function of t in this case.

It seems like you're cramming though, enjoy failing your course :^)
>>
>>8087118
phi is just like f, a test function. It's a dummy notation.

Basically what dirac does is it extracts the value of a function at a certain point. That's all.
It just happens to have other uses and properties, so we gave it a name.
>>
soutien-gorge-quest

(bra-ket)
>>
>>8087125
thanks
yea i am to be honest but it will be alright

>>8087128
kay i get thank you
Thread replies: 13
Thread images: 1

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