Stephen A. Cook
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Stephen A. Cook
Stephen Arthur Cook (born December 14, 1939) is an American-Canadian computer scientist and mathematician who has made significant contributions to the fields of complexity theory and proof complexity. He is a university professor at the University of Toronto, Department of Computer Science and Department of Mathematics. Biography Cook received his bachelor's degree in 1961 from the University of Michigan, and his master's degree and PhD from Harvard University, respectively in 1962 and 1966, from the Mathematics Department. He joined the University of California, Berkeley, mathematics department in 1966 as an assistant professor, and stayed there until 1970 when he was denied reappointment. In a speech celebrating the 30th anniversary of the Berkeley electrical engineering and computer sciences department, fellow Turing Award winner and Berkeley professor Richard Karp said that, "It is to our everlasting shame that we were unable to persuade the math department to give him ...
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Buffalo, New York
Buffalo is the second-largest city in the U.S. state of New York (behind only New York City) and the seat of Erie County. It is at the eastern end of Lake Erie, at the head of the Niagara River, and is across the Canadian border from Southern Ontario. With a population of 278,349 according to the 2020 census, Buffalo is the 78th-largest city in the United States. The city and nearby Niagara Falls together make up the two-county Buffalo–Niagara Falls Metropolitan Statistical Area (MSA), which had an estimated population of 1.1 million in 2020, making it the 49th largest MSA in the United States. Buffalo is in Western New York, which is the largest population and economic center between Boston and Cleveland. Before the 17th century, the region was inhabited by nomadic Paleo-Indians who were succeeded by the Neutral, Erie, and Iroquois nations. In the early 17th century, the French began to explore the region. In the 18th century, Iroquois land surrounding Buffalo Creek ...
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CRM-Fields-PIMS Prize
The CRM-Fields-PIMS Prize is the premier Canadian research prize in the mathematical sciences. It is awarded in recognition of exceptional research achievement in the mathematical sciences and is given annually by three Canadian mathematics institutes: the Centre de Recherches Mathématiques (CRM), the Fields Institute, and the Pacific Institute for the Mathematical Sciences (PIMS). The prize was established in 1994 by the CRM and the Fields Institute as the CRM-Fields Prize. The prize took its current name when PIMS became a partner in 2005. The prize carries a monetary award of $10,000, funded jointly by the three institutes. The inaugural prize winner was H.S.M. Coxeter. Winners Source: Centre de recherches mathématiques *1995 – H. S. M. Coxeter *1996 – George A. Elliott *1997 – James Arthur *1998 – Robert V. Moody *1999 – Stephen A. Cook *2000 – Israel Michael Sigal *2001 – William T. Tutte *2002 – John B. Friedlander *2003 – John McKay and Edwin P ...
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Polynomial-time Reduction
In computational complexity theory, a polynomial-time reduction is a method for solving one problem using another. One shows that if a hypothetical subroutine solving the second problem exists, then the first problem can be solved by transforming or reducing it to inputs for the second problem and calling the subroutine one or more times. If both the time required to transform the first problem to the second, and the number of times the subroutine is called is polynomial, then the first problem is polynomial-time reducible to the second. A polynomial-time reduction proves that the first problem is no more difficult than the second one, because whenever an efficient algorithm exists for the second problem, one exists for the first problem as well. By contraposition, if no efficient algorithm exists for the first problem, none exists for the second either. Polynomial-time reductions are frequently used in complexity theory for defining both complexity classes and complete problems ...
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Distinguished Professor
Distinguished Professor is an academic title given to some top tenured professors in a university, school, or department. Some distinguished professors may have endowed chairs. In the United States Often specific to one institution, titles such as "president's professor", "university professor", "distinguished professor", "distinguished research professor", "distinguished teaching professor", "distinguished university professor", or "regents professor" are granted to a small percentage of the top tenured faculty who are regarded as particularly important in their respective fields of research. Some institutions grant more university-specific, formal titles such as M.I.T.'s "Institute Professor", Yale University's " Sterling Professor", or Duke University's "James B. Duke Professor". Some academic and/or scholarly organizations may also bestow the title "distinguished professor" in recognition of achievement over the course of an academic career. For example, the Association of C ...
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Richard Karp
Richard Manning Karp (born January 3, 1935) is an American computer scientist and computational theorist at the University of California, Berkeley. He is most notable for his research in the theory of algorithms, for which he received a Turing Award in 1985, The Benjamin Franklin Medal in Computer and Cognitive Science in 2004, and the Kyoto Prize in 2008. Karp was elected a member of the National Academy of Engineering (1992) for major contributions to the theory and application of NP-completeness, constructing efficient combinatorial algorithms, and applying probabilistic methods in computer science. Biography Born to parents Abraham and Rose Karp in Boston, Massachusetts, Karp has three younger siblings: Robert, David, and Carolyn. His family was Jewish,The Power and Limit ...
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Bachelor's Degree
A bachelor's degree (from Middle Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six years (depending on institution and academic discipline). The two most common bachelor's degrees are the Bachelor of Arts (BA) and the Bachelor of Science (BS or BSc). In some institutions and educational systems, certain bachelor's degrees can only be taken as graduate or postgraduate educations after a first degree has been completed, although more commonly the successful completion of a bachelor's degree is a prerequisite for further courses such as a master's or a doctorate. In countries with qualifications frameworks, bachelor's degrees are normally one of the major levels in the framework (sometimes two levels where non-honours and honours bachelor's degrees are considered separately). However, some qualifications titled bachelor's ...
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Stephen A
Stephen Anthony Smith (born ) is an American sports television personality, sports radio host, and sports journalist. He is a commentator on ESPN's ''First Take'', where he appears with Molly Qerim. He also makes frequent appearances as an NBA analyst on '' SportsCenter''. Smith also is an NBA analyst for ESPN on ''NBA Countdown'' and NBA broadcasts on ESPN. He also hosted ''The Stephen A. Smith Show'' on ESPN Radio. Smith is a featured columnist for ESPNNY.com, ESPN.com, and ''The Philadelphia Inquirer''. Early life and education Stephen Anthony Smith was born in the Bronx, a borough of New York City. He was raised in the Hollis section of Queens. Smith is the fifth of six children. He has four older sisters and had a younger brother, Basil, who died in a car accident in 1992. He also has a half-brother on his father's side. Smith's parents were originally from Saint Thomas, U.S. Virgin Islands. His father managed a hardware store. Smith's maternal grandmother was white, the ...
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University Of Toronto Department Of Mathematics
The University of Toronto Department of Mathematics is an academic department within the Faculty of Arts and Science at the University of Toronto. It is located at the university's main campus at the Bahen Centre for Information Technology. The University of Toronto was ranked first in Canada for Mathematics in 2018 by the QS World University Rankings, the Times Higher Education World University Rankings, and the Maclean's University Rankings. History For most of the second half of the 19th century, the University of Toronto was the only English-language university in Canada to offer programs with specializations, one being in mathematics and natural philosophy. The university launched its mathematics program in 1877, which became a model for the rest of Canada during the first half of the 20th century. The Mathematical and Physical Society was founded in 1882 as a mathematics student society. In the early 20th century, the department became the first in North American to ex ...
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Computational Complexity Theory
In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of mathematical steps, such as an algorithm. A problem is regarded as inherently difficult if its solution requires significant resources, whatever the algorithm used. The theory formalizes this intuition, by introducing mathematical models of computation to study these problems and quantifying their computational complexity, i.e., the amount of resources needed to solve them, such as time and storage. Other measures of complexity are also used, such as the amount of communication (used in communication complexity), the number of gates in a circuit (used in circuit complexity) and the number of processors (used in parallel computing). One of the roles of computationa ...
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Computer Scientist
A computer scientist is a person who is trained in the academic study of computer science. Computer scientists typically work on the theoretical side of computation, as opposed to the hardware side on which computer engineers mainly focus (although there is overlap). Although computer scientists can also focus their work and research on specific areas (such as algorithm and data structure development and design, software engineering, information theory, database theory, computational complexity theory, numerical analysis, programming language theory, computer graphics, and computer vision), their foundation is the theoretical study of computing from which these other fields derive. A primary goal of computer scientists is to develop or validate models, often mathematical, to describe the properties of computational systems (processors, programs, computers interacting with people, computers interacting with other computers, etc.) with an overall objective of discovering des ...
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BBVA Foundation Frontiers Of Knowledge Award
The BBVA Foundation Frontiers of Knowledge Awards () are an international award programme recognizing significant contributions in the areas of scientific research and cultural creation. The categories that make up the Frontiers of Knowledge Awards respond to the knowledge map of the present age. As well as the fundamental knowledge that is at their core, they address developments in information and communication technologies, and interactions between biology and medicine, ecology and conservation biology, climate change, economics, humanities and social sciences, and, finally, contemporary musical creation and performance. Specific categories are reserved for developing knowledge fields of critical relevance to confront central challenges of the 21st century, as in the case of the two environmental awards. The awards were established in 2008, with the first set of winners receiving their prizes in 2009. The BBVA Foundation – belonging to financial group BBVA – is partnered in t ...
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Order Of Canada
The Order of Canada (french: Ordre du Canada; abbreviated as OC) is a Canadian state order and the second-highest honour for merit in the system of orders, decorations, and medals of Canada, after the Order of Merit. To coincide with the centennial of Canadian Confederation, the three-tiered order was established in 1967 as a fellowship that recognizes the outstanding merit or distinguished service of Canadians who make a major difference to Canada through lifelong contributions in every field of endeavour, as well as the efforts by non-Canadians who have made the world better by their actions. Membership is accorded to those who exemplify the order's Latin motto, , meaning "they desire a better country", a phrase taken from Hebrews 11:16. The three tiers of the order are Companion, Officer, and Member; specific individuals may be given extraordinary membership and deserving non-Canadians may receive honorary appointment into each grade. , the reigning Canadian monarch, is ...
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