Is the Kronecker Delta Integral Appropriate for this Function?

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Hi all,

How to know the value of kronecker delta integrale ## \int \delta(m_h-2E) dE ## ?S.
 
It doesn't make sense to have a Kronecker \delta in this integral. Isn't this rather a Dirac \delta distribution?

If so, you may use the formula
\int_{\mathbb{R}} \mathrm{d} x \delta[f(x)] g(x)=\sum_{j} \frac{1}{\left |f'(x_j) \right|} g(x_j),
where f is a function that has only 1st order roots x_j.
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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