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Fast Library For Number Theory
The Fast Library for Number Theory (FLINT) is a C library for number theory applications. The two major areas of functionality currently implemented in FLINT are polynomial arithmetic over the integers and a quadratic sieve. The library is designed to be compiled with the GNU Multi-Precision Library (GMP) and is released under the GNU General Public License. It is developed by William Hart of the University of Kaiserslautern (formerly University of Warwick) and David Harvey of University of New South Wales (formerly Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...) to address the speed limitations of the PARI and NTL libraries.Page 10 of thProject DescriptionfoUW 2006 COMPMATH Proposalby William Stein Design Philosophy * Asymptotically Fast Algorith ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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C (programming Language)
C (''pronounced'' '' – like the letter c'') is a general-purpose programming language. It was created in the 1970s by Dennis Ritchie and remains very widely used and influential. By design, C's features cleanly reflect the capabilities of the targeted Central processing unit, CPUs. It has found lasting use in operating systems code (especially in Kernel (operating system), kernels), device drivers, and protocol stacks, but its use in application software has been decreasing. C is commonly used on computer architectures that range from the largest supercomputers to the smallest microcontrollers and embedded systems. A successor to the programming language B (programming language), B, C was originally developed at Bell Labs by Ritchie between 1972 and 1973 to construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system. During the 1980s, C gradually gained popularity. It has become one of the most widely used programming langu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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University Of Kaiserslautern
The University of Kaiserslautern-Landau (German: ''Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau'', also known as RPTU) is a public research university in Kaiserslautern and Landau in der Pfalz, Germany. The university was formed by the merger of the Technical University of Kaiserslautern and the Landau campus of the University of Koblenz and Landau on January 1, 2023. There are numerous institutes around the university, including two Fraunhofer Institutes ( and ITWM), the Max Planck Institute for Software Systems (MPI-SWS), the German Research Center for Artificial Intelligence (DFKI), the Institute for Composite Materials (IVW) and the Institute for Surface and Thin Film Analysis (IFOS), all of which cooperate closely with the university. RPTU is organized into 16 faculties. About 17,000 students are enrolled at the moment. RPTU is part of the Software-Cluster along with the Technische Universität Darmstadt, the Karlsruhe Institute of Technology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Free Software Programmed In C
Free may refer to: Concept * Freedom, the ability to act or change without constraint or restriction * Emancipate, attaining civil and political rights or equality * Free (''gratis''), free of charge * Gratis versus libre, the difference between the two common meanings of the adjective "free". Computing * Free (programming), a function that releases dynamically allocated memory for reuse * Free software, software usable and distributable with few restrictions and no payment *, an emoji in the Enclosed Alphanumeric Supplement block. Mathematics * Free object ** Free abelian group ** Free algebra ** Free group ** Free module ** Free semigroup * Free variable People * Free (surname) * Free (rapper) (born 1968), or Free Marie, American rapper and media personality * Free, a pseudonym for the activist and writer Abbie Hoffman * Free (active 2003–), American musician in the band FreeSol Arts and media Film and television * ''Free'' (film), a 2001 American dram ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Computational Number Theory
In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms for primality testing and integer factorization, finding solutions to diophantine equations, and explicit methods in arithmetic geometry. Computational number theory has applications to cryptography, including RSA, elliptic curve cryptography and post-quantum cryptography, and is used to investigate conjectures and open problems in number theory, including the Riemann hypothesis, the Birch and Swinnerton-Dyer conjecture, the ABC conjecture, the modularity conjecture, the Sato-Tate conjecture, and explicit aspects of the Langlands program. Software packages * Magma computer algebra system * SageMath * Number Theory Library * PARI/GP * Fast Library for Number Theory Further reading * Michael E. Pohst (1993): ''Computational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Number Theory Library
NTL is a C++ library for doing number theory. NTL supports arbitrary length integer and arbitrary precision floating point arithmetic, finite fields, vectors, matrices, polynomials, lattice basis reduction and basic linear algebra. NTL is free software released under the GNU Lesser General Public License The GNU Lesser General Public License (LGPL) is a free-software license published by the Free Software Foundation (FSF). The license allows developers and companies to use and integrate a software component released under the LGPL into their own ... v2.1.{{Cite web, title=NTL: A Library for doing Number Theory, url=https://shoup.net/ntl/, access-date=2020-06-06, website=shoup.net References External links Official NTL website C++ libraries Free mathematics software 2015 software ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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PARI/GP
PARI/GP is a computer algebra system with the main aim of facilitating number theory computations. Versions 2.1.0 and higher are distributed under the GNU General Public License. It runs on most common operating systems. System overview The PARI/GP system is a package that is capable of doing formal computations on recursive types at high speed; it is primarily aimed at number theorists. Its three main strengths are its speed, the possibility of directly using data types that are familiar to mathematicians, and its extensive algebraic number theory module. The PARI/GP system consists of the following standard components: * PARI is a C library, allowing for fast computations, and which can be called from a high-level language application (for instance, written in C, C++, Pascal, Fortran, Perl, or Python). * gp is an easy-to-use interactive command line interface giving access to the PARI functions. It functions as a sophisticated programmable calculator which contains mos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyman John Harvard (clergyman), John Harvard, it is the oldest institution of higher learning in the United States. Its influence, wealth, and rankings have made it one of the most prestigious universities in the world. Harvard was founded and authorized by the Massachusetts General Court, the governing legislature of Colonial history of the United States, colonial-era Massachusetts Bay Colony. While never formally affiliated with any Religious denomination, denomination, Harvard trained Congregationalism in the United States, Congregational clergy until its curriculum and student body were gradually secularized in the 18th century. By the 19th century, Harvard emerged as the most prominent academic and cultural institution among the Boston B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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University Of New South Wales
The University of New South Wales (UNSW) is a public research university based in Sydney, New South Wales, Australia. It was established in 1949. The university comprises seven faculties, through which it offers bachelor's, master's and doctoral degrees. Its main campus is in the Sydney eastern suburb of Kensington, from the Sydney central business district (CBD). Its creative arts school, UNSW Art & Design (in the faculty of Arts, Design and Architecture), is located in Paddington and it has subcampuses in the Sydney CBD and several other suburbs, including Randwick and Coogee. It has a campus at the Australian Defence Force military academy, ADFA in Canberra, Australian Capital Territory. It has research stations located throughout the state of New South Wales. It is one of the founding members of Group of Eight, a coalition of Australian research-intensive universities and a member of Universitas 21, a global network of research universities. It has international ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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David Harvey (mathematician)
David William Harvey (born 31 October 1935) is a British-American academic best known for Marxist analyses that focus on urban geography as well as the economy more broadly. He is a Distinguished Professor of anthropology and geography at the Graduate Center of the City University of New York (CUNY). Harvey has authored many books and essays that have been prominent in the development of modern geography as a discipline. He is a proponent of the idea of the right to the city. In 2007, Harvey was listed as the 18th most-cited author of books in the humanities and social sciences in that year, as established by counting citations from academic journals in the Thomson Reuters ISI database. Early life and education David W. Harvey was born in 1935 in Gillingham, Kent. He attended Gillingham Grammar School for Boys and St John's College, Cambridge, for both his undergraduate and post-graduate studies. Harvey's early work, beginning with his PhD (on hops production in 19th cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |