different between cyclotomy vs cyclotomics

English

cyclo- +? -tomy

cyclotomy (countable and uncountable, plural cyclotomies)

(medicine) surgical removal of the ciliary muscle
(mathematics) the historical problems of dividing the circle into a given number of equal segments, and of constructing regular polygons
(mathematics) the analytical extraction of the complex roots of unity; a de Moivre number

cyclotomics (uncountable)

(mathematics) The branch of mathematics concerned with the complex roots of unity; cyclotomy.

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