Monic
Definition, Meaning & Examples
Pronunciation /ˈmɒn.ɪk/ · Part of speech adjective
Quick meaning: Monic is an adjective meaning (mathematics) Of a polynomial whose leading coefficient is one.
Meaning
(mathematics) Of a polynomial whose leading coefficient is one.
More Meanings
- (biology) Monomorphic.
- (category theory) Of a morphism: that it is a monomorphism.
- A monic polynomial.
Example Sentences
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.
Word Forms
- monics
Related Words
Related dictionary entries include polynomial, polynomials, maban.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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