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Faithful
Faithful may refer to: Film and television * ''Faithful'' (1910 film), an American comedy short directed by D. W. Griffith * ''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 * "The Faithful" (''Supergirl''), a television episode Music Albums * ''Faithful'' (Dusty Springfield album), recorded 1971, released 2015 * ''Faithful'' (Hi-Five album) or the title song, 1993 * ''Faithful'' (Jenn Bostic album) or the title song, 2015 * ''Faithful'' (Marcin Wasilewski album), 2011 * ''Faithful'' (Todd Rundgren album), 1976 * ''Faithful'', a Hillsong album, 2003 Songs * "Faithful" (Common song), 2005 * "Faithful" (Go West song), 1992 * "Faithful", by Drake from '' Views'', 2016 * "Faithful", by Juli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful Functor
In category theory, a faithful functor is a functor that is injective on hom-sets, and a full functor is surjective on hom-sets. A functor that has both properties is called a full and faithful functor. Formal definitions Explicitly, let ''C'' and ''D'' be ( locally small) categories and let ''F'' : ''C'' → ''D'' be a functor from ''C'' to ''D''. The functor ''F'' induces a function :F_\colon\mathrm_(X,Y)\rightarrow\mathrm_(F(X),F(Y)) for every pair of objects ''X'' and ''Y'' in ''C''. The functor ''F'' is said to be *faithful if ''F''''X'',''Y'' is injectiveJacobson (2009), p. 22 *full if ''F''''X'',''Y'' is surjectiveMac Lane (1971), p. 14 *fully faithful (= full and faithful) if ''F''''X'',''Y'' is bijective for each ''X'' and ''Y'' in ''C''. A mnemonic for remembering the term "full" is that the image of the function fills the codomain; a mnemonic for remembering the term "faithful" is that you can trust (have faith) that F(X)=F(Y) implies X=Y. Properties A faithful fun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful Representation
In mathematics, especially in an area of abstract algebra known as representation theory, a faithful representation ρ of a group on a vector space is a linear representation in which different elements of are represented by distinct linear mappings . In more abstract language, this means that the group homomorphism :\rho: G\to GL(V) is injective (or one-to-one). ''Caveat:'' While representations of over a field are ''de facto'' the same as - modules (with denoting the group algebra of the group ), a faithful representation of is not necessarily a faithful module for the group algebra. In fact each faithful -module is a faithful representation of , but the converse does not hold. Consider for example the natural representation of the symmetric group in dimensions by permutation matrices, which is certainly faithful. Here the order of the group is while the matrices form a vector space of dimension . As soon as is at least 4, dimension counting means that so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful Group Action
In mathematics, a group action on a space is a group homomorphism of a given group into the group of transformations of the space. Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism group of the structure. It is said that the group ''acts'' on the space or structure. If a group acts on a structure, it will usually also act on objects built from that structure. For example, the group of Euclidean isometries acts on Euclidean space and also on the figures drawn in it. For example, it acts on the set of all triangles. Similarly, the group of symmetries of a polyhedron acts on the vertices, the edges, and the faces of the polyhedron. A group action on a vector space is called a representation of the group. In the case of a finite-dimensional vector space, it allows one to identify many groups with subgroups of , the group of the invertible matrices of dimension over a field . The symmetric group acts on any set wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithfulness
Faithfulness is the concept of unfailingly remaining loyal to someone or something, and putting that loyalty into consistent practice regardless of extenuating circumstances. It may be exhibited by a husband or wife who does not engage in sexual relationships outside of the marriage. It can also mean keeping one's promises no matter the prevailing circumstances, such as certain communities of monks who take a vow of silence. Literally, it is the state of being full of faith in the sense of steady devotion to a person, thing or concept. Etymology Its etymology is distantly related to that of fidelity; indeed, in modern electronic devices, a machine with high "fidelity" is considered "faithful" to its source material. Similarly, a spouse who, inside a sexually exclusive relationship, has sexual relations outside of marriage could be considered as being "unfaithful" as having committed "infidelity". Religions Sexual faithfulness within a marriage is a required tenet in Christian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (1996 Film)
''Faithful'' is a 1996 American comedy crime drama film directed by Paul Mazursky and starring Cher, Chazz Palminteri and Ryan O'Neal. Palminteri wrote the screenplay, which is an adaptation of his stage play of the same name. ''Faithful'' tells the story of a woman, her husband and a hit man. The film was entered into the 46th Berlin International Film Festival. This is Mazursky's final theatrical film as director. Plot On her twentieth wedding anniversary, Maggie receives a diamond necklace and a price on her head; both from her husband, Jack. While waiting for the signal, all the way from Connecticut, to do the murder, the hitman Tony starts bonding with Maggie instead. Later, Jack shows up himself, complicating the entire situation. Cast * Cher as Margaret Connor * Chazz Palminteri as Tony * Ryan O'Neal as Jack Connor * Paul Mazursky as Dr. Susskind * Amber Smith as Debbie * Elisa Leonetti as Maria * Mark Nassar as Maria's Boyfriend * Stephen Spinella as Young Man at Rolls ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (Marcin Wasilewski Album)
''Faithful'' is an album by Polish jazz pianist and composer Marcin Wasilewski recorded in 2010 and released on the ECM label.ECM Releases accessed October 24, 2016 Reception In '''' Brent Burton wrote "Turn it up loud or turn it down low; either way, it’s one of the best piano-trio recordings you’ll hear this year".Burton, BJazzTimes Review June 2011 ''''s critic |
The Faithful (Supergirl)
The third season of the American television series ''Supergirl'', which is based on the DC Comics character Supergirl / Kara Zor-El, focuses on a costumed superhero who is the cousin to Superman and one of the last surviving Kryptonians. The season was ordered in January 2017. It was filmed from July 2017 to April 2018, and filming took place in Vancouver. Alongside Melissa Benoist, who stars in the titular role, principal cast members Mehcad Brooks, Chyler Leigh, Jeremy Jordan, Chris Wood and David Harewood return from the second season. They are joined by Katie McGrath, who was promoted to a series regular from her recurring status in the previous season, and new cast member Odette Annable. Former series regulars Calista Flockhart and Floriana Lima return as guest star and recurring respectively. The season premiered on The CW on October 9, 2017, and ran until June 18, 2018, over 23 episodes. The series was renewed for a fourth season on April 2, 2018. Episodes Cast a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (Dusty Springfield Album)
''Faithful'' is the title of Dusty Springfield's planned third album for Atlantic Records, and seventh and final recorded studio album overall, recorded in the first half of 1971. Two singles from the planned album, "I Believe In You" (b/w "Someone Who Cares"), and "Haunted" (b/w "Nothing Is Forever", a track not intended for the album) were released in the United States, U.S. in the fall of 1971, but failed to chart nationally. Due to poor response from the two singles, and a rumoured falling out with Atlantic executives, Springfield's contract with the company was not renewed, and the planned album was shelved and never given a catalogue number or title. ''Faithful'' was a working title, taken from the name of an album track, "I'll Be Faithful", which had possibly been under consideration as a third single. A fire in the mid-seventies at one of Atlantic's storage sites was thought to have destroyed the ''Faithful'' session tapes, leaving only the two singles (and possible third ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (book)
''Faithful'' is a book co-written by Stephen King and Stewart O'Nan. It chronicles exchanges between King and O'Nan about the 2004 Boston Red Sox season, beginning with an e-mail in the summer of 2003, and throughout the 2004 season, from spring training to the World Series. The book was dedicated to Victoria Snelgrove, an Emerson College student who was struck in the eye by a projectile fired by the Boston Police Department during crowd-control actions near Fenway Park following Game 7 of the American League Championship Series, resulting in her death approximately 12 hours later. On May 4, 2007, ''The Boston Globe'' reported that HBO Home Box Office (HBO) is an American premium television network, which is the flagship property of namesake parent subsidiary Home Box Office, Inc., itself a unit owned by Warner Bros. Discovery. The overall Home Box Office business unit is ba ... would be adapting the book into a six-part miniseries for 2008. In September 2008, King wrote, " ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (baptized Catholic)
This is a glossary of terms used within the Catholic Church. Some terms used in everyday English have a different meaning in the context of the Catholic faith, including brother, confession, confirmation, exemption, faithful, father, ordinary, religious, sister, venerable, and vow. A * Abbess — the female head of a community of nuns (abbey) * Abbot — the male head of a community of monks (monastery) * Acolyte * Actual grace * Ad limina visits — visit by diocesan bishop to the Holy See, usually every five years * Alexandrian Rite * Altar * Altar server * Altarage — the revenue reserved for the chaplain (altarist or altar-thane) in contradistinction to the income of the parish priest, it came to signify the fees received by a priest from the laity when discharging any function for them * Ambo * Ambry * Amovibility * Annulment – ''see: Declaration of Nullity (below)'' * Apostolic administrator * Apostolic Chancery — a former office of the Roman Curia * Apostolic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful (The Handmaid's Tale)
''The Handmaid's Tale'' is an American dystopian drama television series created by Bruce Miller, based on the 1985 novel of the same name by Margaret Atwood. The plot features a dystopian future following a Second American Civil War wherein a theonomic, totalitarian society subjects fertile women, called " Handmaids", to child-bearing slavery. The series features an ensemble cast, led by Elisabeth Moss, and also stars Joseph Fiennes, Yvonne Strahovski, Alexis Bledel, Madeline Brewer, Ann Dowd, O-T Fagbenle, Max Minghella, Samira Wiley, Amanda Brugel, and Bradley Whitford. The series premiered on April 26, 2017, on Hulu. The second season premiered on April 25, 2018. The third season premiered on June 5, 2019. The fourth season premiered on April 27, 2021. In December 2020, ahead of the fourth season premiere, Hulu renewed the series for a fifth season, which premiered on September 14, 2022. In September 2022, ahead of the fifth season premiere, the series was renewed for a sixt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faithful Module
In mathematics, the annihilator of a subset of a module over a ring is the ideal formed by the elements of the ring that give always zero when multiplied by an element of . Over an integral domain, a module that has a nonzero annihilator is a torsion module, and a finitely generated torsion module has a nonzero annihilator. The above definition applies also in the case noncommutative rings, where the left annihilator of a left module is a left ideal, and the right-annihilator, of a right module is a right ideal. Definitions Let ''R'' be a ring, and let ''M'' be a left ''R''- module. Choose a non-empty subset ''S'' of ''M''. The annihilator of ''S'', denoted Ann''R''(''S''), is the set of all elements ''r'' in ''R'' such that, for all ''s'' in ''S'', . In set notation, :\mathrm_R(S)=\ It is the set of all elements of ''R'' that "annihilate" ''S'' (the elements for which ''S'' is a torsion set). Subsets of right modules may be used as well, after the modification o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
