monic

M3O1N1I1C3
UK/ˈmɒn.ɪk/US/ˈmɑ.nɪk/

adjective

Of a polynomial whose leading coefficient is one.

“If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.”

UncommonScrabble 9

Meanings

monic1

adjectivemonic (not comparable)
  1. not comparablemathematicsOf a polynomial whose leading coefficient is one.
  2. not comparablebiologyMonomorphic.
  3. not comparablecategory theoryOf a morphism: that it is a monomorphism.

    If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.

    1 more example

    It is often convenient to view a monic arrow i#58;A#92;rightarrowtailC, defined in Chapter 1, as showing that A is a copy of a part of C, and that i maps the copy on to that part. For example, in Set, the monic arrows are the one-to-one functions and, clearly, if i is one-to-one then A is a copy of a subset of C, namely of the image of i.

    1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, →ISBN, page 5
nounmonic (plural monics)

plural monics

  1. A monic polynomial.

Monic2

adjectiveMonic (not comparable)
  1. not comparablehuman sciencesBelonging to the branch of the Austroasiatic language family that includes the Mon language.

Origin

Translations

Catalan mònic
  • mònicof a polynomial whose leading coefficient is one
French unitaire, normalisé
  • unitaireof a polynomial whose leading coefficient is one
  • normaliséof a polynomial whose leading coefficient is one
  • môniqueTranslations
  • môniquesTranslations
Spanish mónico
  • mónicoof a polynomial whose leading coefficient is one

Rhymes & wordplay

Rhymes with monic

All rhymes →

Anagrams

Cite this entry
APA

monic. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/monic

MLA

“monic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/monic. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “monic,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/monic.

Source: monic on Wiktionary, CC BY-SA 4.0.