relating to the mathematical problem of dividing a circle into a given number of equal segments
cyclotomic in American English
(ˌsaikləˈtɑmɪk, ˌsɪklə-)
adjective
1.
of or pertaining to cyclotomy
2. Math(of a polynomial)
irreducible and of the form xp−1+xp−2± … ± 1, where p is a prime number
Word origin
[1875–80; cyclotom(y) + -ic]This word is first recorded in the period 1875–80. Other words that entered Englishat around the same time include: authoritarian, fan-tan, knockabout, weekend, weekender-ic is a suffix forming adjectives from other parts of speech, occurring originally inGreek and Latin loanwords (metallic; poetic; archaic; public) and, on this model, used as an adjective-forming suffix with the particular senses“having some characteristics of” (opposed to the simple attributive use of the basenoun) (balletic; sophomoric); “in the style of” (Byronic; Miltonic); “pertaining to a family of peoples or languages” (Finnic; Semitic; Turkic)
Examples of 'cyclotomic' in a sentence
cyclotomic
The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.
J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider 2018, 'Heavy quark form factors at three loops in the planar limit', Physics Letters Bhttp://www.sciencedirect.com/science/article/pii/S0370269318304416. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The master integrals of the canonical basis thus obtained are expressed in terms of cyclotomic polylogarithms up to weight four.
Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin 2018, 'Three-loop effective potential of general scalar theory via differential equations',Nuclear Physics Bhttp://www.sciencedirect.com/science/article/pii/S0550321318302980. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The integrated leading and subleading color real–virtual antenna functions are computed analytically in terms of (cyclotomic) harmonic polylogarithms.
Oliver Dekkers, Werner Bernreuther 2014, 'The real–virtual antenna functions for S→QQ¯X at NNLO QCD', Physics Letters Bhttp://www.sciencedirect.com/science/article/pii/S0370269314007187. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also give a number of related conjectures including congruences modulo the fourth power of a cyclotomic polynomial.
Victor J. W. Guo, Michael J. Schlosser 2019, 'Some New q-Congruences for Truncated Basic Hypergeometric Series', Symmetryhttps://www.mdpi.com/2073-8994/11/2/268. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)