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David Slepian
David S. Slepian (June 30, 1923 – November 29, 2007) was an American mathematician. He is best known for his work with algebraic coding theory, probability theory, and distributed source coding. He was colleagues with Claude Shannon and Richard Hamming at Bell Labs. Life and work Born in Pittsburgh, Pennsylvania, he gained a B.Sc. at University of Michigan before joining the US Army in World War II, as a sonic deception officer in the Ghost army. He received his Ph.D. from Harvard University in 1949, writing his dissertation in physics. After post-doctoral work at the University of Cambridge and University of Sorbonne, he worked at the Mathematics Research Center at Bell Telephone Laboratories, where he pioneered work in algebraic coding theory on group codes, first published in the paper ''A Class of Binary Signaling Alphabets''. Here, he also worked along with other information theory giants such as Claude Shannon and Richard Hamming. He also proved the possibility of ...
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Pittsburgh, Pennsylvania
Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Western Pennsylvania, the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania behind Philadelphia, and the List of United States cities by population, 68th-largest city in the U.S. with a population of 302,971 as of the 2020 United States census, 2020 census. The city anchors the Pittsburgh metropolitan area of Western Pennsylvania; its population of 2.37 million is the largest in both the Ohio Valley and Appalachia, the Pennsylvania metropolitan areas, second-largest in Pennsylvania, and the List of metropolitan statistical areas, 27th-largest in the U.S. It is the principal city of the greater Pittsburgh–New Castle–Weirton combined statistical area that extends into Ohio and West Virginia. Pitts ...
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University Of Cambridge
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ...
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Robert Ladislav Parker
Robert L. Parker is an American geophysicist and mathematician, currently holding a Professor Emeritus of Geophysics position at the Scripps Institution of Oceanography at the University of California, San Diego in La Jolla, California. The Institute of Geophysics and Planetary Physics in La Jolla After completing a B.A. in Natural Sciences in 1963, M.A. in 1964, and Ph.D. in 1966 in Geophysics at Downing College, Cambridge in England, Parker moved to the U.S. to work at the Institute of Geophysics and Planetary Physics (IGPP). He has subsequently built on work by Freeman Gilbert and George Backus regarding inverse theory. He is a former director of IGPP. Personal life Parker is an avid bicyclist and keeps track of all of his miles. He has also written about the energy behind bicycle physics. Awards *John Adam Fleming Medal, American Geophysical Union (2008) *Gold Medal of the Royal Astronomical Society (1998) *Fellow, Royal Society of London (1989) *Fellow, American Geophy ...
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BSTJ
The ''Bell Labs Technical Journal'' is the in-house scientific journal for scientists of Nokia Bell Labs, published yearly by the IEEE society. The managing editor is Charles Bahr. The journal was originally established as the ''Bell System Technical Journal'' (BSTJ) in New York by the American Telephone and Telegraph Company (AT&T) in 1922, published under this name until 1983, when the breakup of the Bell System placed various parts of the system into separate companies. The journal was devoted to the scientific fields and engineering disciplines practiced in the Bell System for improvements in the wide field of electrical communication. After the restructuring of Bell Labs in 1984, the journal was renamed to ''AT&T Bell Laboratories Technical Journal''. In 1985, it was published as the ''AT&T Technical Journal'' until 1996, when it was renamed to ''Bell Labs Technical Journal''. History The ''Bell System Technical Journal'' was published by AT&T in New York City through its I ...
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Jan Slepian
Janice Slepian (née Berek; January 2, 1921 – November 2, 2016), was an author of books for children and young adults and a poet. She obtained a degree in psychology at Brooklyn College, later doing graduate work in clinical psychology and speech pathology at the University of Washington in Seattle. She worked as a speech therapist at Massachusetts General Hospital in Boston and then embarked on a writing career. Career With co-author Ann Seidler, she published several illustrated books in a series called "The Listen-Hear Books". Titles included ''The Hungry Thing'', ''The Hungry Thing Returns'' and ''The Hungry Thing Goes to a Restaurant'': all three are for young readers and teach about phonemic awareness; they also co-authored ''The Cat Who Wore a Pot on Her Head'', "Bendemolena," ''Alfie and the Dream Machine'' and several other titles. Some of her books deal with mental disability, including ''The Alfred Summer'' (1980) ''Lester's Turn'' (1981) (both of which featu ...
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IEEE
The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operations center in Piscataway, New Jersey. The mission of the IEEE is ''advancing technology for the benefit of humanity''. The IEEE was formed from the amalgamation of the American Institute of Electrical Engineers and the Institute of Radio Engineers in 1963. Due to its expansion of scope into so many related fields, it is simply referred to by the letters I-E-E-E (pronounced I-triple-E), except on legal business documents. , it is the world's largest association of technical professionals with more than 423,000 members in over 160 countries around the world. Its objectives are the educational and technical advancement of electrical and electronic engineering, telecommunications, computer engineering and similar disciplines. History Origin ...
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Joseph Slepian
Joseph Slepian (February 11, 1891 – December 19, 1969) was an American electrical engineer known for his contributions to the developments of electrical apparatus and theory. Born in Boston, MA of Jewish Russian immigrants, he studied mathematics at Harvard University, from which he was awarded a B.Sc. (1911), a M.Sc. (1912) and Ph.D. on the thesis ''On the Functions of a Complex Variable Defined by an Ordinary Differential Equation of the First Order and First Degree'' advised by George Birkhoff (1913). Meanwhile, he also worked at Boston Elevated Railway. After his Ph.D., he became Sheldon fellow at University of Göttingen in Germany, was at University of Sorbonne in Paris, before becoming instructor of mathematics at Cornell University (1915). He joined Westinghouse Electric in East Pittsburgh (1916) in the railway motor department initially, moving to the research department (1917) at Forest Hills (PA) where he became head (1922), consulting engineer (1926) and ...
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University Of Hawaii
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ...
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Jack Keil Wolf
Jack Keil Wolf (March 14, 1935 – May 12, 2011) was an American researcher in information theory and coding theory. Biography Wolf was born in 1935 in Newark, New Jersey, and graduated from Weequahic High School in 1952. He received his undergraduate degree from the University of Pennsylvania in 1956 and his Ph.D. from Princeton University in 1960 for his thesis "On the Detection and Estimation Problem for Multiple Nonstationary Random Processes". He held faculty appointments at New York University 1963–1965, the Polytechnic Institute of Brooklyn 1965–1973 and the University of Massachusetts Amherst 1973–1984, and worked at RCA Laboratories and Bell Laboratories. In 1984, he joined the University of California, San Diego, where he applied communication and information theory to magnetic storage. He also held a part-time appointment at Qualcomm since its formation in 1985. He was president of the IEEE Information Theory Society in 1974. He died on May 12, 2011. Awards an ...
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Slepian–Wolf Coding
__NOTOC__ In information theory and communication, the Slepian–Wolf coding, also known as the Slepian–Wolf bound, is a result in distributed source coding discovered by David Slepian and Jack Wolf in 1973. It is a method of theoretically coding two lossless compressed correlated sources. Problem setup Distributed coding is the coding of two, in this case, or more dependent sources with separate encoders and a joint decoder. Given two statistically dependent independent and identically distributed finite-alphabet random sequences X^n and Y^n, the Slepian–Wolf theorem gives a theoretical bound for the lossless coding rate for distributed coding of the two sources. Theorem The bound for the lossless coding rates as shown below: : R_X\geq H(X, Y), \, : R_Y\geq H(Y, X), \, : R_X+R_Y\geq H(X,Y). \, If both the encoder and the decoder of the two sources are independent, the lowest rate it can achieve for lossless compression is H(X) and H(Y) for X and Y respectively, where ...
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Slepian's Lemma
In probability theory, Slepian's lemma (1962), named after David Slepian, is a Gaussian comparison inequality. It states that for Gaussian random variables X = (X_1,\dots,X_n) and Y = (Y_1,\dots,Y_n) in \mathbb^n satisfying \operatorname E = \operatorname E = 0, :\operatorname E _i^2 \operatorname E _i^2 \quad i=1,\dots,n, \text \operatorname E _iX_j\le \operatorname E_i Y_j\text i \neq j. the following inequality holds for all real numbers u_1,\ldots,u_n: :\Pr\left bigcap_^n \\right\le \Pr\left bigcap_^n \\right or equivalently, :\Pr\left bigcup_^n \\right\ge \Pr\left bigcup_^n \\right While this intuitive-seeming result is true for Gaussian processes, it is not in general true for other random variables—not even those with expectation 0. As a corollary, if (X_t)_ is a centered stationary Gaussian process such that \operatorname E _0 X_t\geq 0 for all t, it holds for any real number c that :\Pr\left sup_ X_t \leq c\right\ge \Pr\left sup_ X_t \leq c\right\Pr \left sup ...
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