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Middle-square Method
In mathematics and computer science, the middle-square method is a method of generating pseudorandom numbers. In practice it is a highly flawed method for many practical purposes, since its period is usually very short and it has some severe weaknesses; repeated enough times, the middle-square method will either begin repeatedly generating the same number or cycle to a previous number in the sequence and loop indefinitely. History In mathematics The method was invented by John von Neumann, and was described by him at a conference in 1949.The 1949 papers were not reprinted until 1951. John von Neumann, “Various techniques used in connection with random digits”, in A. S. Householder, G. E. Forsythe, and H. H. Germond, eds., ''Monte Carlo Method, National Bureau of Standards Applied Mathematics Series'', vol. 12 (Washington, D.C.: U.S. Government Printing Office, 1951): pp. 36–38. In the 1949 talk, Von Neumann quipped that "Anyone who considers ari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle-square Method
In mathematics and computer science, the middle-square method is a method of generating pseudorandom numbers. In practice it is a highly flawed method for many practical purposes, since its period is usually very short and it has some severe weaknesses; repeated enough times, the middle-square method will either begin repeatedly generating the same number or cycle to a previous number in the sequence and loop indefinitely. History In mathematics The method was invented by John von Neumann, and was described by him at a conference in 1949.The 1949 papers were not reprinted until 1951. John von Neumann, “Various techniques used in connection with random digits”, in A. S. Householder, G. E. Forsythe, and H. H. Germond, eds., ''Monte Carlo Method, National Bureau of Standards Applied Mathematics Series'', vol. 12 (Washington, D.C.: U.S. Government Printing Office, 1951): pp. 36–38. In the 1949 talk, Von Neumann quipped that "Anyone who considers ari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jorge Luis Borges
Jorge Francisco Isidoro Luis Borges Acevedo (; ; 24 August 1899 – 14 June 1986) was an Argentine short-story writer, essayist, poet and translator, as well as a key figure in Spanish-language and international literature. His best-known books, ''Ficciones'' (''Fictions'') and '' El Aleph'' (''The Aleph''), published in the 1940s, are collections of short stories exploring themes of dreams, labyrinths, chance, infinity, archives, mirrors, fictional writers and mythology. Borges' works have contributed to philosophical literature and the fantasy genre, and majorly influenced the magic realist movement in 20th century Latin American literature.Theo L. D'Haen (1995) "Magical Realism and Postmodernism: Decentering Privileged Centers", in: Louis P. Zamora and Wendy B. Faris, ''Magical Realism: Theory, History and Community''. Duhan and London, Duke University Press, pp. 191–208. Born in Buenos Aires, Borges later moved with his family to Switzerland in 1914, where he studied ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Articles With Example C Code
Article often refers to: * Article (grammar), a grammatical element used to indicate definiteness or indefiniteness * Article (publishing), a piece of nonfictional prose that is an independent part of a publication Article may also refer to: Government and law * Article (European Union), articles of treaties of the European Union * Articles of association, the regulations governing a company, used in India, the UK and other countries * Articles of clerkship, the contract accepted to become an articled clerk * Articles of Confederation, the predecessor to the current United States Constitution *Article of Impeachment, a formal document and charge used for impeachment in the United States * Articles of incorporation, for corporations, U.S. equivalent of articles of association * Articles of organization, for limited liability organizations, a U.S. equivalent of articles of association Other uses * Article, an HTML element, delimited by the tags and * Article of clothing, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pseudorandom Number Generators
A pseudorandom number generator (PRNG), also known as a deterministic random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers. The PRNG-generated sequence is not truly random, because it is completely determined by an initial value, called the PRNG's ''seed'' (which may include truly random values). Although sequences that are closer to truly random can be generated using hardware random number generators, ''pseudorandom number generators'' are important in practice for their speed in number generation and their reproducibility. PRNGs are central in applications such as simulations (e.g. for the Monte Carlo method), electronic games (e.g. for procedural generation), and cryptography. Cryptographic applications require the output not to be predictable from earlier outputs, and more elaborate algorithms, which do not inherit the linearity of simpler PRNGs, are needed. Good statis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blum Blum Shub
Blum Blum Shub (B.B.S.) is a pseudorandom number generator proposed in 1986 by Lenore Blum, Manuel Blum and Michael Shub that is derived from Michael O. Rabin's one-way function. __TOC__ Blum Blum Shub takes the form :x_ = x_n^2 \bmod M, where ''M'' = ''pq'' is the product of two large primes ''p'' and ''q''. At each step of the algorithm, some output is derived from ''x''''n''+1; the output is commonly either the bit parity of ''x''''n''+1 or one or more of the least significant bits of ''x''''n''+1''. The seed ''x''0 should be an integer that is co-prime to ''M'' (i.e. ''p'' and ''q'' are not factors of ''x''0) and not 1 or 0. The two primes, ''p'' and ''q'', should both be congruent to 3 (mod 4) (this guarantees that each quadratic residue has one square root which is also a quadratic residue), and should be safe primes with a small gcd((''p-3'')''/2'', (''q-3'')''/2'') (this makes the cycle length large). An interesting characteristic of the Blum Blum Shub generator is th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Congruential Generator
A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation. The method represents one of the oldest and best-known pseudorandom number generator algorithms. The theory behind them is relatively easy to understand, and they are easily implemented and fast, especially on computer hardware which can provide modular arithmetic by storage-bit truncation. The generator is defined by the recurrence relation: :X_ = \left( a X_n + c \right)\bmod m where X is the sequence of pseudo-random values, and : m,\, 0 |
Python 3
The programming language Python was conceived in the late 1980s, and its implementation was started in December 1989 by Guido van Rossum at CWI in the Netherlands as a successor to ABC capable of exception handling and interfacing with the Amoeba operating system. Van Rossum is Python's principal author, and his continuing central role in deciding the direction of Python is reflected in the title given to him by the Python community, ''Benevolent Dictator for Life'' (BDFL). (However, van Rossum stepped down as leader on July 12, 2018.). Python was named after the BBC TV show '' Monty Python's Flying Circus''. Python 2.0 was released on October 16, 2000, with many major new features, including a cycle-detecting garbage collector (in addition to reference counting) for memory management and support for Unicode. However, the most important change was to the development process itself, with a shift to a more transparent and community-backed process. Python 3.0, a major, backw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leading Zero
A leading zero is any 0 digit that comes before the first nonzero digit in a number string in positional notation.. For example, James Bond's famous identifier, 007, has two leading zeros. Any zeroes appearing to the left of the first non-zero digit (of any integer or decimal) do not affect its value, and can be omitted (or replaced with blanks) with no loss of information. Therefore, the usual decimal notation of integers does not use leading zeros except for the zero itself, which would be denoted as an empty string otherwise. However, in decimal fractions strictly between −1 and 1, the leading zeros digits between the decimal point and the first nonzero digit are necessary for conveying the magnitude of a number and cannot be omitted, while trailing zeros – zeros occurring after the decimal point and after the last nonzero digit – can be omitted without changing the meaning. Occurrence Often, leading zeros are found on non-electronic digital displays or on such electr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weyl Sequence
In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl Hermann Klaus Hugo Weyl, (; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is assoc ...: The sequence of all multiples of an irrational ''α'', ::0, ''α'', 2''α'', 3''α'', 4''α'', ... :is equidistributed modulo 1. In other words, the sequence of the fractional parts of each term will be uniformly distributed in the interval , 1). In computing In computing, an integer version of this sequence is often used to generate a discrete uniform distribution rather than a continuous one. Instead of using an irrational number, which cannot be calculated on a digital computer, the ratio of two integers is used in its place. An integer ''k'' is chosen, relatively prime to an integer modulus ''m''. In the com ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ivar Ekeland
Ivar I. Ekeland (born 2 July 1944, Paris) is a French mathematician of Norwegian descent. Ekeland has written influential monographs and textbooks on nonlinear functional analysis, the calculus of variations, and mathematical economics, as well as popular books on mathematics, which have been published in French, English, and other languages. Ekeland is known as the author of Ekeland's variational principle and for his use of the Shapley–Folkman lemma in optimization theory. He has contributed to the periodic solutions of Hamiltonian systems and particularly to the theory of Kreĭn indices for linear systems (Floquet theory).According to D. Pascali, writing for ''Mathematical Reviews'' () Ekeland helped to inspire the discussion of chaos theory in Michael Crichton's 1990 novel '' Jurassic Park''. Biography Ekeland studied at the École Normale Supérieure (1963–1967). He is a senior research fellow at the French National Centre for Scientific Research (C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle Square Method 2 Digits
Middle or The Middle may refer to: * Centre (geometry), the point equally distant from the outer limits. Places * Middle (sheading), a subdivision of the Isle of Man * Middle Bay (other) * Middle Brook (other) * Middle Creek (other) * Middle Island (other) * Middle Lake (other) * Middle Mountain, California * Middle Peninsula, Chesapeake Bay, Virginia * Middle Range, a former name of the Xueshan Range on Taiwan Island * Middle River (other) * Middle Rocks, two rocks at the eastern opening of the Straits of Singapore * Middle Sound, a bay in North Carolina * Middle Township (other) * Middle East Music * "Middle" (song), 2015 * "The Middle" (Jimmy Eat World song), 2001 * "The Middle" (Zedd, Maren Morris and Grey song), 2018 *"Middle", a song by Rocket from the Crypt from their 1995 album '' Scream, Dracula, Scream!'' *"The Middle", a song by Demi Lovato from their debut album '' Don't Forget'' *"The Middle", a song ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicholas Metropolis
Nicholas Constantine Metropolis (Greek: ; June 11, 1915 – October 17, 1999) was a Greek-American physicist. Metropolis received his BSc (1937) and PhD in physics (1941, with Robert Mulliken) at the University of Chicago. Shortly afterwards, Robert Oppenheimer recruited him from Chicago, where he was collaborating with Enrico Fermi and Edward Teller on the first nuclear reactors, to the Los Alamos National Laboratory. He arrived in Los Alamos in April 1943, as a member of the original staff of fifty scientists. He came back to Los Alamos in 1948 to lead the group in the Theoretical Division that designed and built the MANIAC I computer in 1952 that was modeled on the IAS machine, and the MANIAC II in 1957. After World War II After World War II, he returned to the faculty of the University of Chicago as an assistant professor. He came back to Los Alamos in 1948 to lead the group in the Theoretical Division that designed and built the MANIAC I computer in 1952 that was mode ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
