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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.
Faithful Christopher Packe or Pack (1760–1840) was an English painter. Life. Packe, born in Norwich in 1760, was son of a quaker merchant belonging to a family which claimed connection with that of Sir Christopher Packe, lord mayor of London. Packe showed an early taste for painting, but at first was engaged in his father's business.
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 ...
Bulletin board system. A bulletin board system ( BBS ), also called a computer bulletin board service ( CBBS ), [ 1] was a computer server running software that allowed users to connect to the system using a terminal program. Once logged in, the user could perform functions such as uploading and downloading software and data, reading news and ...
To prove that point, let's check out 10 amazing facts about donkeys that you probably don't already know! Donkeys: the ultimate eavesdroppers of the barnyard. cctm via Shutterstock. 1. Donkeys Are ...
Faithful Place is a 2010 crime novel by Tana French. [ 1] The book is set in Dublin, featuring undercover detective Frank Mackey, who was a supporting character in French's previous novel, The Likeness. [ 2] It is the third installment of French's loosely related Dublin Murder Squad series. Each follows a case in the heart of Ireland, with ...
The Parable of the Faithful Servant (or Parable of the Door Keeper) is a parable of Jesus found in Matthew 24:42-51, Mark 13:34-37, and Luke 12:35-48 about how it is important for the faithful to keep watch. In Matthew's Gospel, it immediately precedes the Parable of the Ten Virgins, which has a similar eschatological theme of being prepared ...
3. Land ho and valuation low. Carnival has lost a lot of money as a result of the pandemic. Its surprising profitable turn last month was only the second time in the last 18 quarters that Carnival ...