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I need help/advice with an diracdelta integral. I computed the integral seen in the attachment and got 1. However, I am not quite sure if I did it right. Also, I don´t know how to throw this kind of integral with vectors in wolfram alpha.
 one year ago
 one year ago
I need help/advice with an diracdelta integral. I computed the integral seen in the attachment and got 1. However, I am not quite sure if I did it right. Also, I don´t know how to throw this kind of integral with vectors in wolfram alpha.
 one year ago
 one year ago

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TomLikesPhysicsBest ResponseYou've already chosen the best response.0
So, does this integral equal 1?
 one year ago

KainuiBest ResponseYou've already chosen the best response.0
Isn't the area under the curve of the dirac delta function always equal to 1?
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
Yes, but it is a little bit different if you multiply it with another function, like here.
 one year ago

KainuiBest ResponseYou've already chosen the best response.0
Well it's beyond my knowledge, that was literally all I knew about the dirac delta function lol.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
is that triple integral??
 one year ago

KainuiBest ResponseYou've already chosen the best response.0
I don't know if this helps or not. Seems like y^2... not sure... http://www.thefouriertransform.com/math/impulse.php
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
@experimentX No but it is a vector integral in R2.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
what is your surface??
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
as for DeltaDirac, \[ \int_p^q \delta {(t  a)} f(t) dt = f(a) \; \text{ where a} \in (p, q)\]
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
@experimentX My integral looks a bit harder than your example. You can see it in the attachment.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
I couldn't make head or tals out of it \[ \int_{\mathfrak{ R^3}} \delta(xy)x^2 dx \; \text{wobei} \; y = (0,1,2)^T \] Usually vector surface integrals are like \[\iint_s \vec F(x,y,z) \cdot d\vec s \] where 's' is some region of surface like plane or cylinder and F is vector valued function. ]http://tutorial.math.lamar.edu/Classes/CalcIII/SurfIntVectorField.aspx
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
Got it. In this case the delta function must be y and therefore the integral is 0^2+1^2+2^2=5.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
i see you have a point
 one year ago
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