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A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing a sequence of values into components of different frequencies. This operation is useful in many fields, but computing it directly from the definition is often too slow to be practical. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse factors. As a result, it manages to reduce the complexity of computing the DFT from , which arises if one simply applies the definition of DFT, to , where n is the data size. The difference in speed can be enormous, especially for long data sets where n may be in the thousands or millions. In the presence of round-off error, many FFT algorithms are much more accurate than evaluating the DFT definition directly or indirectly. There are many different FFT algorithms based on a wide range of published theories, from simple complex-number arithmetic to group theory and number theory.
Denton Arthur Cooley was an American cardiothoracic surgeon famous for performing the first implantation of a total artificial heart. Cooley was also the founder and surgeon in-chief of The Texas Heart Institute, chief of Cardiovascular Surgery at clinical partner Baylor St. Luke's Medical Center, consultant in Cardiovascular Surgery at Texas Children's Hospital and a clinical professor of Surgery at the University of Texas Health Science Center at Houston.
Charles Horton Cooley was an American sociologist. He was the son of Michigan Supreme Court Judge Thomas M. Cooley. He studied and went on to teach economics and sociology at the University of Michigan. He was a founding member of the American Sociological Association in 1905 and became its eighth president in 1918. He is perhaps best known for his concept of the looking-glass self, which is the concept that a person's self grows out of society's interpersonal interactions and the perceptions of others. Cooley's health began to deteriorate in 1928. He was diagnosed with an unidentified form of cancer in March 1929 and died two months later.
Donnell Clyde "Spade" Cooley was an American convicted murderer and former Western swing musician, big band leader, actor, and television personality. In 1961 he was arrested and convicted for the April 1961 murder of his second wife, Ella Mae Evans.
Cooley v. Board of Wardens, 53 U.S. 299 (1852), was a US Supreme Court case that held that a Pennsylvania law requiring all ships entering or leaving Philadelphia to hire a local pilot did not violate the Commerce Clause of the US Constitution. Those who did not comply with the law had been required to pay a fee.
Cooley High is a 1975 American coming-of-age comedy-drama film that follows the narrative of high school seniors and best friends, Leroy "Preach" Jackson and Richard "Cochise" Morris. Written by Eric Monte and directed by Michael Schultz, the film, primarily shot in Chicago, was a major hit at the box office, grossing over $13 million (USD). The light-hearted-turned-tragic storyline was complemented by a soundtrack featuring many Motown hits.
Thomas M. Cooley High School is an abandoned high school located at the intersection of Hubbell Avenue and Chalfonte Street, on the northwest side of Detroit, Michigan. The three-story, Mediterranean Revival-style facility opened its doors on September 4, 1928.
Christopher Ken Cooley is an American former professional football player who was a tight end for the Washington Redskins of the National Football League (NFL). He played college football for the Utah State Aggies and was drafted by the Redskins in the third round of the 2004 NFL Draft.
Chelsea Scott Cooley Altman is an American actress, singer, model and beauty pageant titleholder who has competed in the Miss Teen USA, Miss USA and Miss Universe pageants and who has held the Miss USA 2005 title.
Ed Cooley is an American college basketball coach and currently the head coach of the Georgetown Hoyas men's basketball program. Cooley held the same position at Providence College from 2011 to 2023, and Fairfield University from 2006 to 2011. In 2022, he received national honors as the Naismith College Coach of the Year. Additionally, he received the inaugural 2010 Ben Jobe National Coach of the Year Award.
William Cooley (1783–1863) was one of the first American settlers, and a regional leader, in what is now known as Broward County in the state of Florida. His family was killed by Seminoles in 1836, during the Second Seminole War. The attack, known as the "New River Massacre", caused immediate abandonment of the area by whites.
The 2010 California Attorney General election was held on November 2, 2010, to choose the Attorney General of California. The primary election was held on June 8, 2010. Incumbent Attorney General Jerry Brown, a Democrat, was elected Governor of California.
Edwin Gilbert Cooley Vocational High School was a public 4–year vocational high school and middle school located in the Old Town neighborhood on the Near North Side of Chicago, Illinois, United States.
Cooley Law School (Cooley) is a private law school in Lansing, Michigan and Riverview, Florida. It was established in 1972. At its peak in 2010, Cooley had over 3,900 students and was the largest US law school by enrollment; as of the Spring of 2022, Cooley had approximately 500 students between its two campuses. In November 2020, Western Michigan University's board of trustees voted to end its affiliation with Cooley, which began in 2014, with disassociation effective November 5, 2023.
Cooleys Corner is an unincorporated community located within Upper Freehold Township in Monmouth County, in the U.S. state of New Jersey. The site of the settlement is within the Assunpink Wildlife Management Area, a New Jersey Department of Environmental Protection Division of Fish and Wildlife-operated preserved area in Monmouth and Mercer counties along the Assunpink Creek. Before the creation of the Assunpink Lake in the 1970s, the area consisted of farmland located at the intersection of Clarksburg Road and Imlaystown-Hightstown Road. Some farmland is still present in the area but is now mostly used by hunters. The main boat ramp to Assunpink Lake is located along the former Imlaystown-Hightstown Road.
Joshua Cooley is an American filmmaker and voice actor. He is best known for directing the Pixar animated film Toy Story 4 (2019), the fourth film of the Toy Story franchise, for which he won the Academy Award for Best Animated Feature. He also co-wrote the screenplay of Inside Out (2015), for which he also nominated for the Academy Award for Best Original Screenplay.
Mortimer Elwyn Cooley was an American mechanical and consulting engineer, US Naval officer, politician, and Professor of Mechanical Engineering at the University of Michigan, who served as president of the American Society of Mechanical Engineers in 1919–1920.
Cooley Dickinson Hospital is a nonprofit community hospital located in Northampton, Massachusetts. It is the primary hub of Cooley Dickinson Health Care, a regional network of primary and specialty care medical providers, an affiliate of Massachusetts General Hospital, which is part of Mass General Brigham.
References
- ↑ Cooley, A. E. and M. G. L. Cooley (2013). Pompeii and Herculaneum: A Sourcebook. Routledge. p. 214. ISBN 978-1134624492.
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