- published: 28 Feb 2016
- views: 3579
The permanent of a square matrix in linear algebra is a function of the matrix similar to the determinant. The permanent, as well as the determinant, is a polynomial in the entries of the matrix. Both permanent and determinant are special cases of a more general function of a matrix called the immanant.
The permanent of an n-by-n matrix A = (ai,j) is defined as
The sum here extends over all elements σ of the symmetric group Sn, i.e. over all permutations of the numbers 1, 2, ..., n.
For example (2×2 matrix),
The definition of the permanent of A differs from that of the determinant of A in that the signatures of the permutations are not taken into account. If one views the permanent as a map that takes n vectors as arguments, then it is a multilinear map and it is symmetric (meaning that any order of the vectors results in the same permanent). A formula similar to Laplace's for the development of a determinant along a row or column is also valid for the permanent; all signs have to be ignored for the permanent.
"The Man" is a slang phrase that may refer to the government or to some other authority in a position of power. In addition to this derogatory connotation, it may also serve as a term of respect and praise.
The phrase "the Man is keeping me down" is commonly used to describe oppression. The phrase "stick it to the Man" encourages resistance to authority, and essentially means "fight back" or "resist", either openly or via sabotage.
The earliest recorded use[citation needed] of the term "the Man" in the American sense dates back to a letter written by a young Alexander Hamilton in September 1772, when he was 15. In a letter to his father James Hamilton, published in the Royal Dutch-American Gazette, he described the response of the Dutch governor of St. Croix to a hurricane that raked that island on August 31, 1772. "Our General has issued several very salutary and humane regulations and both in his publick and private measures, has shewn himself the Man." [dubious – discuss] In the Southern U.S. states, the phrase came to be applied to any man or any group in a position of authority, or to authority in the abstract. From about the 1950s the phrase was also an underworld code word for police, the warden of a prison or other law enforcement or penal authorities.
TVF's Permanent Roommates S02E01 | The Parents | E02 now streaming on TVFPLAY (app/website)
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Actors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gagActors: Fiorenzo Carpi (composer), Sylvette Baudrot (miscellaneous crew), Yvonne Clech (actress), Louis Malle (producer), Louis Malle (writer), Louis Malle (director), Jean Rupert (actor), Jacqueline Doyen (actress), Vittorio Caprioli (actor), Jacques Dufilho (actor), Philippe Noiret (actor), Max Desrau (actor), Hubert Deschamps (actor), Kenout Peltier (editor), Pâquerette (actress),
Plot: This merry farce depicts a satirical view of the French society: Twelve years old Zazie has to stay two days with her relatives in Paris, so that her mother can spend some time with her lover. However Zazie escapes her uncle's custody and sets out to explore Paris on her own.
Keywords: 1960s, absurdism, based-on-novel, brat, car, curiosity, dancer, discovery, eiffel-tower-paris, gag