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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 ...
An analysis by the Washington Post last December of California hospice data found that the proportion of patients who were discharged alive from the health service rose by about 50 percent between 2002 and 2012. Profit per patient quintupled to $1,975 in California, the newspaper reported.
"Faithful and discreet slave" is the term used by Jehovah's Witnesses to describe the group's Governing Body in its role of directing doctrines and teachings. The group is described as a "class" of "anointed" Christians that operates under the direct control of Jesus Christ [1] to exercise teaching authority in all matters pertaining to doctrine and articles of faith.
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 ...
Most Faithful Majesty (Portuguese: Sua Majestade Fidelíssima) was the title used by the Portuguese monarchs, from 1748 to 1910. The sobriquet Most Faithful King ( Latin : Rex Fidelissimus , Portuguese: Rei Fidelíssimo ) was a title awarded by the Pope Benedict XIV – as spiritual head of the Catholic Church – in 1748, to the King John V of ...
Composia fidelissima the faithful beauty or Uncle Sam moth is a moth in the family Erebidae. It is found in southern Florida and the West Indies, including Cuba. The species was first described by Gottlieb August Wilhelm Herrich-Schäffer in 1866. The wingspan is 48–64 mm. Adults are on wing year round. They are day flying.