Hilbert Book Model Project/Slide S5
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hbmp  Hilbert Book Model Project  S5 

We separate all pointlike discontinuities from the domain by encapsulating them in an extra boundary 



In fact, it is sufficient that surrounds the current location of the elementary module 

We will select a boundary, which has the shape of a small cube of which the sides run through 

If we take everywhere on the boundary the unit normal to point outward, then this reverses the direction of the normal on which negates the integral 

Thus, in this formula, the contributions of boundaries 

This means that also surrounds the regions 

This fact renders the integration sensitive to the sequencing of the participating domains 

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