Dictionary

monic en · ADJ

Pronunciation

• (Southern-England) audio
• /ˈmɒn.ɪk/ (Received-Pronunciation)
• /ˈmɑ.nɪk/ (General-American)

Etymology

From mono- + -ic.

Meanings

1. (not-comparable) Of a polynomial whose leading coefficient is one.
2. (not-comparable) Monomorphic.
3. (not-comparable) Of 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.
   • 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:

Deriveds

nonmonic

monic en · NOUN

Pronunciation

• (Southern-England) audio
• /ˈmɒn.ɪk/ (Received-Pronunciation)
• /ˈmɑ.nɪk/ (General-American)

Etymology

From mono- + -ic.

Meanings

1. A monic polynomial.

Forms

Translations (4)

es mónico (of a polynomial whose leading coefficient is one) · fr unitaire (of a polynomial whose leading coefficient is one) · ca mònic (of a polynomial whose leading coefficient is one) · fr normalisé (of a polynomial whose leading coefficient is one)