/sci/ - Science & Math

Anonymous Tue Jun 23 17:32:07 2020 No.11829739 [View]
File: 886 KB, 2508x3541, __sekibanki_touhou_drawn_by_agu_antyosan__182009c66f2cc5ae535086abea572b8f.png [View same] [iqdb] [saucenao] [google]

>>11829667
The sum of the volumes of the translate parallelepipeds is given by the volume of the fundamental parallelepiped chosen times the number of elements of the lattice in the ball(which independs of the parallelepiped chosen). As the ball gets arbitrarily large, this number gets very close to the ball's volume. However, this is true for any choice of fundamental parallelepiped, so they need to have the same volume.

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/sci/ - Science & Math

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