Definition, Meaning & Anagrams | English word MONIC

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Definitions of MONIC

1. A monic polynomial.
2. (linguistics) Belonging to the branch of the Austroasiatic language family that includes the Mon language.
3. (mathematics) Of a polynomial whose leading coefficient is one.
4. (biology) Monomorphic.
5. (category theory) Of a morphism: that it is a monomorphism.

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Examples of Using MONIC in a Sentence

• In the more general setting of category theory, a monomorphism (also called a monic morphism or a mono) is a left-cancellative morphism.
• One may also construct explicitly the monic polynomial involved, which is generally of higher degree than those of the original algebraic integers, by taking resultants and factoring.
• The native language is Mon, which belongs to the Monic branch of the Austroasiatic language family and shares a common origin with the Nyah Kur language, which is spoken by the people of the same name that live in Northeastern Thailand.
• The cyclotomic polynomials are monic polynomials with integer coefficients that are irreducible over the field of the rational numbers.
• In algebra, a monic polynomial is a non-zero univariate polynomial (that is, a polynomial in a single variable) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.
• To categorize this notion, recall that, in category theory, a subobject is actually a pair consisting of an object and a monic arrow (interpreted as the inclusion into another object).
• In mathematics, a monomial order (sometimes called a term order or an admissible order) is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.
• Operated by the University of Macau since 1992, MONIC administers the registration of the country-code domain names ccTLD.
• In particular, Mac Lane attempted to settle an ambiguity in usage for the terms epimorphism and monomorphism by introducing the terms epic and monic, but the distinction is not in common use.
• Paul Sidwell (2009:114) proposes the following tree ("stammbaum") for Monic, synthesizing past classifications from Theraphan L-Thongkum (1984) and Gérard Diffloth (1984).
• Famous Dutch film makers and actors that have won a Golden Calf include Rutger Hauer, Louis van Gasteren, Paul Verhoeven, Eddy Terstall, Carice van Houten, Felix de Rooy, Fons Rademakers, Martin Koolhoven, Alex van Warmerdam, Fedja van Huêt, Jean van de Velde, Pim de la Parra, Dick Maas, Marleen Gorris, Ian Kerkhof, Jeroen Krabbé, Monic Hendrickx, Rijk de Gooyer, Marwan Kenzari and Steve McQueen.
• For every n-tuple of complex numbers, there is exactly one monic polynomial of degree n that has them as its zeros (keeping multiplicities).
• Nyah Kur shares 69% lexical similarity with Mon, the only other language in the Monic language family.
• She is a former Senior Member and original member of Sexbomb Singers, with Rochelle Pangilinan, Evette Pabalan, Weng Ibarra, Izzy Trazona-Aragon and Monic Icban of the SexBomb Girls.
• Books he has acquired and edited there have been widely acclaimed and include Even as We Breathe by Annette Saunooke Clapsaddle, the first novel to be published by an enrolled member of the Eastern Band of Cherokee; Daughters of Muscadine by Monic Ductan (2024 Tennessee Book of the Year Award-Novel), The Girl Singer by Marianne Worthington (2023 Weatherford Book of the Year Award), Drowned Town by Jayne Moore Waldrop (2022 Foreword Indies Book of the Year Award), among others.
• For univariate polynomials over a field, one can additionally require the GCD to be monic (that is to have 1 as its coefficient of the highest degree), but in more general cases there is no general convention.
• In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions.
• rightAs noted above, a topos C has a subobject classifier Ω, namely an object of C with an element t ∈ Ω, the generic subobject of C, having the property that every monic m: X′ → X arises as a pullback of the generic subobject along a unique morphism f: X → Ω, as per Figure 1.
• Similar to other modern and historical Austroasiatic languages such as Middle Khmer, western dialects of Khmu, and the Monic and Katuic languages, Sa'och employs a system of phonemic register in which words contrast according to their phonation, or voice quality.

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