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Symbolic Computation
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 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 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 programming language (usually different from the lang ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial Factorization
In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain. Polynomial factorization is one of the fundamental components of computer algebra systems. The first polynomial factorization algorithm was published by Theodor von Schubert in 1793. Leopold Kronecker rediscovered Schubert's algorithm in 1882 and extended it to multivariate polynomials and coefficients in an algebraic extension. But most of the knowledge on this topic is not older than circa 1965 and the first computer algebra systems: When the long-known finite step algorithms were first put on computers, they turned out to be highly inefficient. The fact that almost any uni- or multivariate polynomial of degree up to 100 and with coefficients of a moderate size (up to 100 bits) can be factored by modern algorithms in a few minute ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Software
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 IMU. Awards *Wilhelm Exner Medal (1995). * Paris Kanellakis Theory and Practice Award ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Symbolic Computation
The ''Journal of Symbolic Computation'' is a 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 until 1994. The journal covers a wide variety of topics, including: * 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 ISSAC, the International Symposium on Symbolic and Algebraic Computation, is an academic conference in the field of computer algebra. IS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ISSAC
Issac may refer to: Given name * Issac Amaldas, Indian boxer * 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 Honey (born 1993), Ghanaian footballer * 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 Places * Issac, Dordogne, a commune in France. See also * Isaac (name) * Isaac (other) Isaac was one of the patriarchs of the Abrahamic faiths. Isaac may also refer to: * Isaac (name), including a list of people and fictional characters with the given name or surname of Isaac and its variants Orga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 The island of Maui (; Hawaiian: ) is the second-largest of the islands of the state of Hawaii at 727.2 square miles (1,883 km2) and is the 17th largest island in the United States. Maui is the largest of Maui County's four islands, whic ... Association for Computing Machinery Special Interest Groups Computer algebra systems {{comp-sci-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, claiming 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] |
Learned Society
A learned society (; also learned academy, scholarly society, or academic association) is an organization that exists to promote an academic discipline, profession, or a group of related disciplines such as the arts and science. 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 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 Académie des Jeux floraux (founded 1323), the Sodalitas Litterarum Vistulana (founded 1488), the Accademia della Crusca (founded 1583), the Accade ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Methods
In computer science, formal methods are mathematically rigorous techniques for the specification, development, and verification of software and 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 calculi, formal languages, automata theory, control theory, program semantics, type systems, and type theory. Background Semi-Formal Methods are formalisms and languages that are not considered fully “formal”. It defers the task of completing the semantics to a later stage, which is then done either by human interpretation or by interpretation through software like code or test case generators. Taxonomy Formal methods can be used at a number of levels: Level 0: Formal specificati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 identity which equates one mathematical expression to another, with the most important ones being mathematical theorems. Syntactically, a formula (often referred to as a ''well-formed formula'') is an entity which is constructed using the symbols and formation rules of a given logical language. 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 do ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
