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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 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 ...
Faithful (1936 film), a British musical drama directed by Paul L. Stein. Faithful (1996 film), an American crime comedy directed by Paul Mazursky. The Faithful, a Chinese film of 2018. "Faithful" ( The Handmaid's Tale), a television episode. "The Faithful" ( Law & Order: Criminal Intent), a television episode.
It was the last 3 kilometers of the race when Faulkner managed to break free from the pack and surge far ahead in a spectacular display of vigor. She crossed the finish line 58 seconds before the ...
3,700–8,400 US gal (14,000–32,000 L) Old Faithful is a cone geyser in Yellowstone National Park in Wyoming, United States. It was named in 1870 during the Washburn–Langford–Doane Expedition and was the first geyser in the park to be named. [ 3][ 4] It is a highly predictable geothermal feature and has erupted every 44 minutes to two ...
The Franciscan Brothers of Peace, a canonically recognized Public Association of the Faithful was founded in St. Paul, Minnesota, in 1982. In keeping with their charism, the Brothers advocate for the unborn, the handicapped, the elderly and the poor. They operate a food pantry and working with the Center For Victims of Torture provide temporary ...
Cold showers may also improve mood and energy or mental alertness, which Dr. Rachelle Reed, an exercise physiologist in Athens, Georgia, has experienced, she said. “You sort of feel a little bit ...
Directions. For the muffins: Preheat the oven to 375°F. Line a 12-cup muffin tin with large paper liners. Add the granulated sugar and lemon zest to a large bowl and, using clean hands, rub the ...