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Keith Geddes
Keith Oliver Geddes (born 1947) is a professor emeritus in the David R. Cheriton School of Computer Science within the University of Waterloo Faculty of Mathematics, Faculty of Mathematics at the University of Waterloo in Waterloo, Ontario. He is a former director of thSymbolic Computation Groupin the School of Computer Science. He received a BA in Mathematics at the University of Saskatchewan in 1968; he completed both his MSc and PhD in Computer Science at the University of Toronto. Geddes is probably best known for co-founding the Maple computer algebra system, now in widespread academic use around the world. He is also the Scientific Director at thOntario Research Centre for Computer Algebra and is a member of the Association for Computing Machinery, as well as the American Mathematical Society, American and Canadian Mathematical Society, Canadian Mathematical Societies. Research Geddes' primary research interest is to develop algorithms for the mechanization of mathemat ...
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Professor Emeritus
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title the rank of the last office held". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished service awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title, e.g., "professor emeritus". The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In the description of deceased professors emeritus listed at U.S. universities, the title ''emeritus'' is replaced by indicating the years of their appointmentsThe Protoc ...
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Integral
In mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ..., an integral assigns numbers to functions in a way that describes Displacement (geometry), displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with Derivative, differentiation, integration is a fundamental, essential operation of calculus,Integral calculus is a very well established mathematical discipline for which there are many sources. See and , for example. and serves as a tool to solve problems in mathematics and physics involving the area of an arbitrary shape, the length of a curve, and the volume of a solid, among others. The integrals enumerated here are those termed definite integrals, which can be int ...
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Canadian Mathematicians
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of their being ''Canadian''. Canada is a multilingual and multicultural society home to people of groups of many different ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. Following the initial period of French and then the much larger British colonization, different waves (or peaks) of immigration and settlement of non-indigenous peoples took place over the course of nearly two centuries and continue today. Elements of Indigenous, French, British, and more recent immigrant customs, languages, and religions have combined to form the culture of Canada, and thus a Canadian identity. Canada has also been strongly influenced by its linguistic, geographic, and e ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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List Of University Of Waterloo People
The University of Waterloo, located in Waterloo, Ontario, Canada, is a comprehensive public university that was founded in 1957 by Drs. Gerry Hagey and Ira G. Needles. It has grown into an institution of more than 42,000 students, faculty, and staff. The school is notable for being the first accredited university in North America to create a Faculty of Mathematics, which is now the world's largest, and to have the largest cooperative education program in the world. The school is also known for having more companies formed by its faculty, students, and alumni than any other Canadian university, and as such, the university has been called the "Silicon Valley of the North". The list is drawn from notable faculty, alumni, staff, and former university presidents. The enrollment for 2020 was 36,057 undergraduate and 6,231 graduate students, with 1,350 faculty members and 2,596 staff. About 221,000 people have graduated from the university, and now reside in over 150 countries. Alum ...
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Derivatives Of The Incomplete Gamma Function
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems such as certain integrals. Their respective names stem from their integral definitions, which are defined similarly to the gamma function but with different or "incomplete" integral limits. The gamma function is defined as an integral from zero to infinity. This contrasts with the lower incomplete gamma function, which is defined as an integral from zero to a variable upper limit. Similarly, the upper incomplete gamma function is defined as an integral from a variable lower limit to infinity. Definition The upper incomplete gamma function is defined as: \Gamma(s,x) = \int_x^ t^\,e^\, dt , whereas the lower incomplete gamma function is defined as: \gamma(s,x) = \int_0^x t^\,e^\, dt . In both cases is a complex parameter, such that the real part of is positive. Properties By integration by parts we find the recurrence relat ...
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Symbolic Integration
In calculus, symbolic integration is the problem of finding a formula for the antiderivative, or ''indefinite integral'', of a given function ''f''(''x''), i.e. to find a differentiable function ''F''(''x'') such that :\frac = f(x). This is also denoted :F(x) = \int f(x) \, dx. Discussion The term symbolic is used to distinguish this problem from that of numerical integration, where the value of ''F'' is sought at a particular input or set of inputs, rather than a general formula for ''F''. Both problems were held to be of practical and theoretical importance long before the time of digital computers, but they are now generally considered the domain of computer science, as computers are most often used currently to tackle individual instances. Finding the derivative of an expression is a straightforward process for which it is easy to construct an algorithm. The reverse question of finding the integral is much more difficult. Many expressions which are relatively simple do not ...
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Risch Algorithm
In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The algorithm transforms the problem of integration into a problem in algebra. It is based on the form of the function being integrated and on methods for integrating rational functions, radicals, logarithms, and exponential functions. Risch called it a decision procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining that indefinite integral. However, the algorithm does not always succeed in identifying whether or not the antiderivative of a given function in fact can be expressed in terms of elementary functions. The complete description of the Risch algorithm takes over 100 pages. The Risch–Norman algorithm is ...
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Gaston Gonnet
Gaston H. Gonnet is a Uruguayan Canadian computer scientist and entrepreneur. He is best known for his contributions to the Maple computer algebra system and the creation of a digital version of the Oxford English Dictionary. Education and early life Gonnet received his doctorate in computer science from the University of Waterloo in 1977. His thesis was entitled ''Interpolation and Interpolation-Hash Searching''. His advisor was J. Alan George. Career and research In 1980 Gonnet co-founded the Symbolic Computation Group at the University of Waterloo. The work of SCG on a general-purpose computer algebra system later formed the core of the Maple system. In 1988, Gonnet co-founded (with Keith Geddes) the private company Waterloo Maple Inc., to sell Maple commercially. In the mid 1990s the company ran into trouble and a disagreement between his colleagues caused him to withdraw from chairman of the Board and managerial involvement. In 1984 Gonnet co-founded the New Oxford ...
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Waterloo Maple
Waterloo Maple Inc. is a Canadian software company, headquartered in Waterloo, Ontario. It operates under the trade name Maplesoft. It is best known as the manufacturer of the Maple computer algebra system, and MapleSim physical modeling and simulation software. Corporate history Waterloo Maple Inc. was first incorporated under the name Waterloo Maple Software in April 1988 by Keith Geddes and Gaston Gonnet, who were both then professors in the Symbolic Computation Group, a part of the computer science department (now the David R. Cheriton School of Computer Science) at the University of Waterloo. Tim Bray served as the part-time CEO of Waterloo Maple Inc. from 1989-1990. During this period he claims in his resume that he helped save the company from one close encounter with bankruptcy by "instituting financial discipline". Gonnet left the company in 1994 after a failed attempt to purchase a controlling stake despite already owning 30% of the shares, and following protract ...
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Computer Science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical disciplines (including the design and implementation of Computer architecture, hardware and Computer programming, software). Computer science is generally considered an area of research, academic research and distinct from computer programming. Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and for preventing Vulnerability (computing), security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Progr ...
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