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A faithful functor need not be injective on objects or morphisms. That is, two objects X and X′ may map to the same object in D (which is why the range of a full and faithful functor is not necessarily isomorphic to C), and two morphisms f : X → Y and f′ : X′ → Y′ (with different domains/codomains) may map to the same morphism in D.
Sensus fidelium. Sensus fidei (sense of the faith), also called sensus fidelium (sense of the faithful) is, according to the Catechism of the Catholic Church, "the supernatural appreciation of faith on the part of the whole people, when, from the bishops to the last of the faithful, they manifest a universal consent in matters of faith and ...
Faithful representation. In mathematics, especially in an area of abstract algebra known as representation theory, a faithful representation ρ of a group G on a vector space V is a linear representation in which different elements g of G are represented by distinct linear mappings ρ(g) . In more abstract language, this means that the group ...
August 6, 2024 at 9:14 PM. HOUSTON (AP) — A federal judge on Tuesday dismissed most of the claims in a lawsuit filed by a Black high school student who alleged that school officials committed ...
[9] [10] In 2007, Faithful+Gould's northern operations were restructured, [11] and a new London-centric property division was created. [12] In January 2011, Faithful+Gould, together with its parent company Atkins, formed a new consultancy unit aimed at addressing green development and environmental queries. [13]
Vin Diesel and Zion of the Puerto Rican reggaeton duo Zion y Lennox have teamed up to voice “Don’t Stop The Music,” a new Latin dance single produced by Dimitri Vegas. One half of the duo ...
Faithfulness means unfailingly remaining loyal to someone or something, and putting that loyalty into consistent practice regardless of extenuating circumstances. It may be exhibited, for example, by a husband or wife who does not engage in sexual relationships outside of the marriage. [1] It can also mean keeping one's promises no matter the ...