algebraically

English

Etymology

From algebraic +‎ -ally, or alternatively algebraical +‎ -ly.[1]

Pronunciation

  • (US) IPA(key): /ˌæl.d͡ʒɪˈbɹeɪ.ɪk.li/, /ˌæl.d͡ʒɪˈbɹeɪ.ɪ.kə.li/
  • Audio (Southern England):(file)

Adverb

algebraically (comparative more algebraically, superlative most algebraically)

  1. Using algebra; in terms of algebra.
    • 1981, John M. Ziman, Puzzles, Problems and Enigmas: Occasional Pieces on the Human Aspects of Science, Cambridge University Press, →ISBN, page 51:
      In principle, we should not then have made any approximation at all; it is a rule of pure mathematics, hallowed by centuries of usage, and justified by the mysteries known to undergraduates as 'epsilontics', that a convergent series is as good as a simple finite algebraic expression for a solution — which is just as well, because almost every expression that appears in any formula in physics, such as a cosine, or a logarithm, is itself only definable algebraically as the sum of an infinite series.
    • 2000, Alain M. Robert, A Course in p-adic Analysis, Springer, page 127:
      It turns out that the algebraic closure 𝐐pa is not complete, so we shall consider its completion 𝐂p: This field turns out to be algebraically closed and is a natural domain for the study of "analytic functions."

Derived terms

Translations

References

  1. ^ “algebraically, adv.”, in OED Online Paid subscription required⁠, Oxford: Oxford University Press, launched 2000.
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