Я пытаюсь решить такой интеграл:
And the problem is described like this:
*there is a disk region R having an area of 100m²
and in this region we have about 150 clients placed in hexagon grid;
So, integrating above noted equitons has to provide us some idea about the relationship between average distance from the center point of the region and the hexagons in this region (see picture 2). I suppose it has also contain some indications about basic principles of contracted honeycomb geometry where the centers in hexagons are placed much more sparsely as one moves increasingly far from the central point of the region.
now, it looks very simple but I cannot figure out how I define integral bounds or what is the norm vector for this problem. Is this a distance in the region or the distance between hexagon centers...
in conclusion, my integral has to result a value like 46.94 (where c= 1/Integral = 0.0213...I just calculated it backwards) but all of my attempts to get this value through integrating the bounded region have failed.
If you want go deeper look inside this paper:
https://pdfs.semanticscholar.org/a3c0/4a840463275ca342b55de7bc7b8729a76750.pdf?_ga=2.230926559.1169654219.1590575403-354771040.1590445538
Заранее спасибо!
введите описание изображения здесь
большое спасибо