For some reason I can't seem to think of a simple solution to defining an arbitrary region. I would like to do this so that I can then apply various operations to certain regions. The value of the region is irrelavent, so long as it is constant, it is it's location that I am interested in.(adsbygoogle = window.adsbygoogle || []).push({});

Is there something equivalent to defining points, [tex]\delta(\vec{r}-\vec{r_i})[/tex], which defines an entire region?

Can I simply define some region with, [tex]\int_Vd^3r'\delta(\vec{r}-\vec{r} ')[/tex] ?

How would I explicitly define the complimentary region of space such that their union defines all of space?

Would it be better to approach this using some sort of distribution?

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# Defining an arbitrary region

Can you offer guidance or do you also need help?

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