Symmetry, Год журнала: 2025, Номер 17(3), С. 410 - 410
Опубликована: Март 9, 2025
The method of non-standard algebraic extensions based on the use additional formal solutions reduced equations is extended to case corresponding three-dimensional space. This differs from classical one in that it leads formation rings rather than fields. proposed approach allows construct a discrete coordinate system which role three basis vectors played by idempotent elements ring obtained extension. allows, among other things, identification symmetry properties objects defined through Cartesian coordinates, important, for example, when using advanced methods digital image processing. An explicit form established allow Galois fields GFp such p−1 divisible three. possibilities practical are considered; particular, shown coordinates mapped onto interest point view improving UAV swarm control algorithms.
Язык: Английский