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As noted in the introduction, Bézout's identity works not only in the ring of integers, but also in any other principal ideal domain ( PID ).
Some Related Sentences
noted and introduction
In his introduction to The Portable Cervantes, Samuel Putnam, a noted translator of Cervantes ' novel, calls Avellaneda's version " one of the most disgraceful performances in history ".
Nevertheless it should be noted that in a referendum in the 2000s the introduction of blanket speed limits was refused by the population, suggesting that a large number appreciate the freedom.
This makes the Wimseys an unusually ancient family, since " Very few English noble families go that far in the first creation ; rebellions and monarchic head choppings had seen to that " ( as reviewer Janet Hitchman noted in the introduction to Striding Folly ).
Recently the notions of metamodernism, Post-postmodernism and the " death of postmodernism " have been increasingly widely debated: in 2007 Andrew Hoborek noted in his introduction to a special issue of the journal Twentieth Century Literature titled " After Postmodernism " that " declarations of postmodernism's demise have become a critical commonplace ".
M. Hammond, A. H. Mack, and W. Moskalew have noted in their introduction to the text of the Miles Gloriosus that Plautus was, “ free from convention ... that he sought to reproduce the easy tone of daily speech rather than the formal regularity of oratory or poetry.
The enduring, widespread popularity of the theorem was noted in the introduction to a 2001 paper, " Monkeys, Typewriters and Networks: The Internet in the Light of the Theory of Accidental Excellence " ( Hoffmann and Hofmann ).
The Short Text of the Revelation of Love was finished by 1413, as noted in its introduction in the fifteenth-century Amherst Manuscript, now in the British Library, which named Julian and referred to her as still alive.
It should also be noted however, that the 1970s saw the introduction of martial-arts film to western audiences.
At a 2005 workshop in Las Vegas, a seminar noted the introduction of telemetry equipment which would allow vending machines to communicate sales and inventory data to a route truck or to a headquarters.
Notable achievements included the introduction of the first turbocharged engine in 1962 ( the Turbo Jetfire ), the first modern front-wheel drive car produced in the United States ( the 1966 Toronado ), the Vista Cruiser station wagon ( noted for its roof glass ), and the upscale 442 muscle car.
This view was echoed by an article in TV Zone magazine, which noted that Timeslip “ was probably the general public's first introduction to what are now everyday scientific concepts, such as cloning and climate change ”.
Written in an academic style, its introduction noted that, to discourage lay readers, the author had deliberately chosen a scientific term for the title of the book and that he had written parts of it in Latin for the same purpose.
He furthermore noted that there was a " disconcerting randomness about the introduction of the supernatural " into the book's plot, with the supernatural elements simply appearing without having been worked into a wider world universe.
A number of the early editions carried an introduction by Rev James Sherman, a Congregational minister in London noted for his abolitionist views.
As well, the original planned introduction of Wilson galloping into town was replaced with him simply walking in on his horse, which was noted as improving the entrance by making him seem more threatening.
Maggin wrote Superman # 400 ( Oct. 1984 ) which featured work by several popular comics artists including the only major DC work by Jim Steranko as well as an introduction by noted science-fiction author Ray Bradbury.
With the introduction of radio for commercial and military uses, it was noted that periods of extreme static or noise occurred.
O ' Dalaigh was also a noted critic of the curtailment of free speech and was highly critical of the introduction of Section 31 of the Broadcasting Act, which forbade the broadcast of the voices of Sinn Féin members.
John Dee, noted Elizabethan philosopher, magician and scientist and also responsible for the introduction to the first English translation of Euclid was educated at the Chantry School ( later re-founded as the Grammar School ) in the sixteenth century.
Bartelt noted that Hovind's dissertation is incomplete ( it contains four chapters totaling 101 pages, but Hovind's introduction claims the work is 250 pages with 16 chapters ), of low academic quality, with poor writing, poor spelling, and poor grammatical style.
Admitting that he was " immensely proud " of Divine and the cause which he " strived for ", Jay noted in the book's introduction that he wrote the work because he felt that Divine deserved a " memorial " that would act as a " record for posterity ".
noted and identity
However, as Erickson has noted, the individual's failure to develop preliminary identities during infancy and childhood need not be irreversibly deterministic with respect to a given area of identity diffusion in his ( or her ) adolescence.
A study of German dominatrices by Andrew Wilson has noted the trend for dominatrices choosing names aimed at creating and maintaining an atmosphere in which class, femininity and mystery are key elements of their self-constructed identity.
She recalls " being here and then not here " and having no identity of herself ; it should be noted that it is claimed she also suffered from what was formerly called " Multiple Personality Disorder ".
The first reason is that such groups may extend group identity and cooperation beyond the limited of family and kinship out of reciprocal altruism, in the belief that helping other individuals will produce an advantageous situation for both the sender and receiver of that help, this tendency has been noted in studies by Robert Axelrod that are summarized in his book The Evolution of Cooperation ( 1984 ).
Among the oddest, the suggestion that Adam Weishaupt, founder of the Bavarian Illuminati, killed George Washington and took on his identity as President of the United States is often noted in Illuminati-conspiracy discussion.
Some historians have noted that it is only recently that the Kurds who speak the Sorani dialect have begun referring to their language as Kurdî, in addition to their identity, which is translated to simply mean Kurdish.
As Professor Alan Cairns noted, " The initial federal government premise was on developing a pan-Canadian identity.
The vast variation in how Chinese nationalism has been expressed has been noted by commentators Lucian Pye who argues that this reveals a lack of content in the Chinese identity.
It should be noted that the tradition of Boaz descending from a Canaanite prostitute stems from confusion regarding the identity of the mother of Boaz, who is not mentioned in the Tanakh but is in the Genealogical record of Matthew ; Because they have the same name some people believe she is the same person mentioned in Joshua, but that is not supported by linguistic and textual evidence.
Several commentators have noted that personal identity is a strong theme in the book, and that it addresses issues of racism through the treatment of non-magical, non-human and non-living characters.
A later unpublished study by Carnegie Mellon University noted that " Most often, the causes of identity theft is not known ," but reported that someone else concluded that " the probability of becoming a victim to identity theft as a result of a data breach is ... around only 2 %".
More recently, an association of consumer data companies noted that one of the largest data breaches ever, accounting for over four million records, resulted in only about 1, 800 instances of identity theft, according to the company whose systems were breached.
As noted previously, Megatron's original alternate mode, or " transformation identity ", was a handgun with attachments, but in Generation Two, this was changed to a tank due to safety and security concerns.
Several commentators have noted that Chesnutt broke new ground in American literature with his innovative explorations of racial identity, use of African-American speech and folklore, and the way in which he exposed the skewed logic of Jim Crow strictures.
Critics initially described Audioslave as an amalgamation of Rage Against the Machine and Soundgarden, but by the band's second album, Out of Exile, noted that they had established a separate identity.
It was first noted in print by Campbell ( 1897 ); elaborated by Henri Poincaré ( 1899 ) and Baker ( 1902 ); and systematized geometrically, and linked to the Jacobi identity by Hausdorff ( 1906 ).
In addition, several reviewers noted that the game's methods of conveying the story were " ineffectual ", compounded by the lack of an identity for the player character.
As part of an announcement of the 2006 / 2007 season and the future of the company on 11 January, Gockley noted that " this season we debut a new visual identity and logo in keeping with a new artistic philosophy.
His plays are noted for the lightness of their wit, but he also contrived to address some serious issues around sexual and class roles and identity, as he wrote himself ' treating the serious things lightly and the light things seriously '.
He was to the fore of Irish nationalist thinking and it has been noted by later nationalist heroes, such as Patrick Pearse, that while Wolfe Tone laid out the basic premise that Ireland as a nation must be free, Davis was the one who built this idea up promoting the Irish identity.
Though some critics praised the album and felt that Libertad gave the band an identity of their own, outside of the Guns N ' Roses and Stone Temple Pilots comparisons, others described the album as " bland " and noted that the band have still to gel with them " play to their strengths instead of finding a collective sound.