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cyclotomic

cyclotomic

1 9.9
It describes dividing a circle into equal parts in math
  • adjective
  • /ˌsaɪkləˈtɒmɪk/
  • Specialized
: ciclóptico
  • In mathematics, a cyclotomic polynomial is used to define the roots of unity based on angles that divide the circumference of a circle.

Examples

  • Over the rationals and, hence, contained in a single cyclotomic field.

  • So there's one cyclotomic coset, here's the second one.

  • The study of cyclotomic fields involves understanding how to construct numbers using equal divisions of a circle.

  • Mathematicians often explore the properties of cyclotomic numbers to solve problems related to symmetry in geometry.

Surface Forms

cyclotomic positive

Morphology

cyclotomic = cyclotomy (semi-transparent) = cyclotomy + ic

Formally derived from 'cyclotomy' with the adjective-forming suffix '-ic'; the relation is clear morphologically but the base is a technical mathematical term, so meaning is specialized.

Etymology

Cyclotomic comes from two Greek parts: cyclo- meaning 'circle', as in cycle, and -tomic meaning 'cut', the same root as atom which originally means 'uncut'. So cyclotomic is like 'circle-cutting' and helps remember why it means dividing a circle into equal parts in math.