What is the strength of a delta function.

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SUMMARY

The strength of a delta function is defined in the context of integrals, specifically as the integral of the function over all time. In this discussion, the delta function is represented as g(t) = 0.5Yδ(t), indicating that the integral of g(t) equals Y/2. This establishes that the strength of the delta function directly correlates to its coefficient in the equation.

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jk_zhengli
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Hi all,

I read the following:

"If g(t) starts with a delta function of strength Y/2, then..."

I wonder what that means. Does it mean g(t) = 0.5Yδ(t) ?

Thanks
 
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Yes. It means that

[tex]\int_{-\infty}^{+\infty} g(t)dt=\frac{Y}{2}[/tex]

So it coincides with [itex]\frac{Y}{2}\delta (t)[/itex].
 

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