Physical and Mathematical Sciences | Article | Published 2021

EQUIVALENCE OF PATHS WITH RESPECT TO THE ACTION OF THE GROUP OF REAL REPRESENTATIONS OF QUATERNION NUMBERS

Authors:

Qobiljon Mo'minov

Collection: NamDU Ilmiy axborotnomasi
Keywords: path, equivalence, differential invariant, differential rational function.

Abstract

The article investigates the problem of path equivalence with respect to the action of a group of real representations of quaternion numbers.

References

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  3. 3. Хаджиев Дж. Приложение теории инвариантов к дифференциальной геометрии кривых. – Ташкент: Фан, 1998.
  4. 4. Муминов К.К., Чилин В.И. Эквивалентность кривых в конечномерных пространствах. LAP LAMBERT Academic Publishing. Deutschland (Германия). 2015.
  5. 5. Muminov K. K., Jurabayev S. EQUIVALENCE OF PATHES WITH RESPECT TO ACTION GROUP OF MOTION OF A HYPERBOLIC PLANE //Scientific and Technical Journal of Namangan Institute of Engineering and Technology. – 2020. – Т. 2. – №. 9. – С. 14-20.
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