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Computer Algebra
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating expression (mathematics), mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes ''exact'' computation with expressions containing variable (mathematics), variables that have no given value and are manipulated as symbols. Software applications that perform symbolic calculations are called ''computer algebra systems'', with the term ''system'' alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Computer Algebra System
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials. Computer algebra systems may be divided into two classes: specialized and general-purpose. The specialized ones are devoted to a specific part of mathematics, such as number theory, group theory, or teaching of elementary mathematics. General-purpose computer algebra systems aim to be useful to a user working in any scientific field that requires manipulation of mathematical expressions. To be useful, a general-purpose computer algebra system must include various features such as: *a user interface allo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Chain Rule
In calculus, the chain rule is a formula that expresses the derivative of the Function composition, composition of two differentiable functions and in terms of the derivatives of and . More precisely, if h=f\circ g is the function such that h(x)=f(g(x)) for every , then the chain rule is, in Lagrange's notation, h'(x) = f'(g(x)) g'(x). or, equivalently, h'=(f\circ g)'=(f'\circ g)\cdot g'. The chain rule may also be expressed in Leibniz's notation. If a variable depends on the variable , which itself depends on the variable (that is, and are dependent variables), then depends on as well, via the intermediate variable . In this case, the chain rule is expressed as \frac = \frac \cdot \frac, and \left.\frac\_ = \left.\frac\_ \cdot \left. \frac\_ , for indicating at which points the derivatives have to be evaluated. In integral, integration, the counterpart to the chain rule is the substitution rule. Intuitive explanation Intuitively, the chain rule states that knowing t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Bruno Buchberger
Bruno Buchberger (born 22 October 1942) is Professor of Computer Mathematics at Johannes Kepler University in Linz, Austria. In his 1965 Ph.D. thesis, he created the theory of Gröbner bases, and has developed this theory throughout his career. He named these objects after his advisor Wolfgang Gröbner. Since 1995, he has been active in the Theorema project at the University of Linz. Career In 1987 Buchberger founded and chaired the Research Institute for Symbolic Computation (RISC) at Johannes Kepler University. In 1985 he started the '' Journal of Symbolic Computation'', which has now become the premier publication in the field of computer algebra. Buchberger also conceived Softwarepark Hagenberg in 1989 and since then has been directing the expansion of this Austrian technology park for software. In 2014 he became a member of the ''Global Digital Mathematical Library Working Group'' of the International Mathematical Union. Beyond the applications of Gröbner bases in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Journal Of Symbolic Computation
The ''Journal of Symbolic Computation'' is a Peer review, peer-reviewed monthly scientific journal covering all aspects of symbolic computation published by Academic Press and then by Elsevier. It is targeted to both mathematicians and computer scientists. It was established in 1985 by Bruno Buchberger, who served as its Editor-in-chief, editor until 1994. The journal covers a wide variety of topics, including: * Computer algebra system, Computer algebra, for which it is considered the top journal * Computational geometry * Automated theorem proving * Applications of symbolic computation in education, science, and industry According to the ''Journal Citation Reports'', its 2020 impact factor is 0.847. The journal is abstracted and indexed by Scopus and the Science Citation Index. See also * ''Higher-Order and Symbolic Computation'' * International Symposium on Symbolic and Algebraic Computation References External links * {{Official website, http://www.elsevier.com/l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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ISSAC
Issac is a spelling variant of the name Isaac Isaac ( ; ; ; ; ; ) is one of the three patriarchs (Bible), patriarchs of the Israelites and an important figure in the Abrahamic religions, including Judaism, Christianity, Islam, and the Baháʼí Faith. Isaac first appears in the Torah, in wh .... Issac may refer to: Given name * Issac Bailey, American writer * Issac Blakeney (born 1992), American football wide receiver * Issac Booth (born 1971), American football player * Issac Ryan Brown (born 2005), American child actor and singer * Issac Delgado (born 1962), Cuban-Spanish musician, and salsa performer * Issac Koga (1899–1982), Japanese electronics researcher/engineer * Issac Luke (born 1987), New Zealand rugby league hooker * Issac Osae (born 1993), Ghanaian footballer Surname * Osthatheos Issac (born 1976), Syriac Orthodox bishop * Rod Issac (born 1989), American football cornerback Other * Issac, Dordogne, a commune in France * Issacs Building, in Los Angeles ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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SIGSAM
SIGSAM is the ACM Special Interest Group on Symbolic and Algebraic Manipulation. It publishes the '' ACM Communications in Computer Algebra'' and often sponsors the '' International Symposium on Symbolic and Algebraic Computation'' (ISSAC). External links ACM Official SIGSAM web siteISSAC 2009 Seoul, Korea ISSAC 2008 (" RISC Linz"), Hagenberg, Austria ISSAC 2007 Waterloo, Ontario ISSAC 2006 Genoa ISSAC 2005 Beijing ISSAC 2004 Santander, Cantabria ISSAC 2003 Philadelphia ISSAC 2002 Lille ISSAC 2001 London, Ontario ISSAC 2000 St. Andrews ISSAC 1999 Vancouver ISSAC 1998 Rostock ISSAC 1997 Maui Maui (; Hawaiian language, Hawaiian: ) is the second largest island in the Hawaiian archipelago, at 727.2 square miles (1,883 km2). It is the List of islands of the United States by area, 17th-largest in the United States. Maui is one of ... Association for Computing Machinery Special Interest Groups Computer algebra systems {{comp-sci-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Association For Computing Machinery
The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in 1947 and is the world's largest scientific and educational computing society. The ACM is a non-profit professional membership group, reporting nearly 110,000 student and professional members . Its headquarters are in New York City. The ACM is an umbrella organization for academic and scholarly interests in computer science (informatics). Its motto is "Advancing Computing as a Science & Profession". History In 1947, a notice was sent to various people: On January 10, 1947, at the Symposium on Large-Scale Digital Calculating Machinery at the Harvard computation Laboratory, Professor Samuel H. Caldwell of Massachusetts Institute of Technology spoke of the need for an association of those interested in computing machinery, and of the need for communication between them. ..After making some inquiries during May and June, we believe there is ample interest to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Special Interest Group
A special interest group (SIG) is a community within a larger organization with a shared interest in advancing a specific area of knowledge, learning or technology where members cooperate to effect or to produce solutions within their particular field, and may communicate, meet, and organize conferences. The term was used in 1961 by the Association for Computing Machinery (ACM), an academic and professional computer society. SIG was later popularized on CompuServe, an early online service provider, where SIGs were a section of the service devoted to particular interests. Technical SIGs The ACM includes many SIGs, some starting as smaller "Special Interest Committees" and formed the first group in 1961. ACM supports further subdivision within SIGs for more impromptu informal discussion groups at conferences which are called Birds of a Feather (BoF). ACM's Special Interest Groups (SIGs) represent major areas of computing, addressing the interests of technical communities that dri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Learned Society
A learned society ( ; also scholarly, intellectual, or academic society) is an organization that exists to promote an academic discipline, profession, or a group of related disciplines such as the arts and sciences. Membership may be open to all, may require possession of some qualification, or may be an honour conferred by election. Most learned societies are non-profit organizations, and many are professional associations. Their activities typically include holding regular Academic conference, conferences for the presentation and discussion of new research results, and publishing or sponsoring academic journals in their discipline. Some also act as professional bodies, regulating the activities of their members in the public interest or the collective interest of the membership. History Some of the oldest learned societies are the (founded 1323), (founded 1488), (founded 1583), (founded 1603), (founded 1635), German National Academy of Sciences Leopoldina (founded 1652), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Formal Methods
In computer science, formal methods are mathematics, mathematically rigorous techniques for the formal specification, specification, development, Program analysis, analysis, and formal verification, verification of software and computer hardware, hardware systems. The use of formal methods for software and hardware design is motivated by the expectation that, as in other engineering disciplines, performing appropriate mathematical analysis can contribute to the reliability and robustness of a design. Formal methods employ a variety of theoretical computer science fundamentals, including logic in computer science, logic calculi, formal languages, automata theory, control theory, program semantics, type systems, and type theory. Uses Formal methods can be applied at various points through the software development process, development process. Specification Formal methods may be used to give a formal description of the system to be developed, at whatever level of detail desired. F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Formula
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a ''chemical formula''. The informal use of the term ''formula'' in science refers to the general construct of a relationship between given quantities. The plural of ''formula'' can be either ''formulas'' (from the most common English plural noun form) or, under the influence of scientific Latin, ''formulae'' (from the original Latin). In mathematics In mathematics, a formula generally refers to an equation or inequality relating one mathematical expression to another, with the most important ones being mathematical theorems. For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion. However, having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume of a sphere in terms of its radius: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |