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https://en.wikipedia.org/wiki/Computational%20science | Computational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science that uses advanced computing capabilities to understand and solve complex physical problems. This includes
Algorithms (numerical and non-numerical): mathematical models, computation... |
https://en.wikipedia.org/wiki/Small%20set | In mathematics, the term small set may refer to:
Small set (category theory)
Small set (combinatorics), a set of positive integers whose sum of reciprocals converges
Small set, an element of a Grothendieck universe
See also
Ideal (set theory)
Natural density
Large set (disambiguation) |
https://en.wikipedia.org/wiki/Large%20set | In mathematics, the term large set is sometimes used to refer to any set that is "large" in some sense. It has specialized meanings in three branches of mathematics:
Large set (category theory), a set that does not belong to a fixed universe of sets
Large set (combinatorics), a set of integers whose sum of reciprocals... |
https://en.wikipedia.org/wiki/Carmichael%20function | In number theory, a branch of mathematics, the Carmichael function of a positive integer is the smallest positive integer such that
holds for every integer coprime to . In algebraic terms, is the exponent of the multiplicative group of integers modulo .
The Carmichael function is named after the American mathema... |
https://en.wikipedia.org/wiki/Provable%20security | Provable security refers to any type or level of computer security that can be proved. It is used in different ways by different fields.
Usually, this refers to mathematical proofs, which are common in cryptography. In such a proof, the capabilities of the attacker are defined by an adversarial model (also referred to... |
https://en.wikipedia.org/wiki/Clock%20synchronization | Clock synchronization is a topic in computer science and engineering that aims to coordinate otherwise independent clocks. Even when initially set accurately, real clocks will differ after some amount of time due to clock drift, caused by clocks counting time at slightly different rates. There are several problems that... |
https://en.wikipedia.org/wiki/Andrea%20diSessa | Andrea A. diSessa (born June 3, 1947) is an education researcher and author of the book Turtle Geometry about Logo. He has also written highly cited research papers on the epistemology of physics, educational experimentation, and constructivist analysis of knowledge. He also created, with Hal Abelson, the Boxer Program... |
https://en.wikipedia.org/wiki/Michael%20J.%20L.%20Kirby | Michael J. L. Kirby (born August 5, 1941) is a Canadian politician. He sat in the Senate of Canada as a Liberal representing Nova Scotia. He is the former chair of the Mental Health Commission of Canada.
Born in Montreal, Kirby earned a Bachelor of Science and Master of Arts in mathematics from Dalhousie University w... |
https://en.wikipedia.org/wiki/Hard-core%20predicate | In cryptography, a hard-core predicate of a one-way function f is a predicate b (i.e., a function whose output is a single bit) which is easy to compute (as a function of x) but is hard to compute given f(x). In formal terms, there is no probabilistic polynomial-time (PPT) algorithm that computes b(x) from f(x) with p... |
https://en.wikipedia.org/wiki/Dual%20basis%20in%20a%20field%20extension | In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non-degenerate quadratic form over K. This can be guaranteed if the extension is separable; it is automatically tr... |
https://en.wikipedia.org/wiki/Pomeron | In physics, the pomeron is a Regge trajectory — a family of particles with increasing spin — postulated in 1961 to explain the slowly rising cross section of hadronic collisions at high energies. It is named after Isaak Pomeranchuk.
Overview
While other trajectories lead to falling cross sections, the pomeron can lead... |
https://en.wikipedia.org/wiki/Zeta%20potential | Zeta potential is the electrical potential at the slipping plane. This plane is the interface which separates mobile fluid from fluid that remains attached to the surface.
Zeta potential is a scientific term for electrokinetic potential in colloidal dispersions. In the colloidal chemistry literature, it is usually den... |
https://en.wikipedia.org/wiki/Ji%C5%99%C3%AD%20%C4%8Ce%C5%99ovsk%C3%BD | Jiří Čeřovský (born 23 May 1955 in Semily) is a Czech regional politician and former athlete. He is a member of Civic Democratic Party.
Life and career
Čeřovský graduated from Charles University with a PhD in biology and chemistry. In the 1970s, he had reached excellent results in athletics (he won all Czechoslovakian... |
https://en.wikipedia.org/wiki/Alan%20J.%20Heeger | Alan Jay Heeger (born January 22, 1936) is an American physicist, academic and Nobel Prize laureate in chemistry.
Heegar was elected as a member into the National Academy of Engineering in 2002 for co-founding the field of conducting polymers and for pioneering work in making these novel materials available for techno... |
https://en.wikipedia.org/wiki/Ostwald | Ostwald may refer to:
Friedrich Wilhelm Ostwald, the physico-chemist (awarded the Nobel Prize in Chemistry, 1909)
Ostwald's rule of polymorphism: in general, the least stable polymorph crystallizes first
The Ostwald Process, a synthesis method for making nitric acid from ammonia
Ostwald ripening, a crystallizati... |
https://en.wikipedia.org/wiki/F1%20hybrid | An F1 hybrid (also known as filial 1 hybrid) is the first filial generation of offspring of distinctly different parental types. F1 hybrids are used in genetics, and in selective breeding, where the term F1 crossbreed may be used. The term is sometimes written with a subscript, as F hybrid. Subsequent generations are c... |
https://en.wikipedia.org/wiki/CSTA | CSTA may refer to:
California Science Teachers Association
Canadian Seed Trade Association
Center for SCREEN-TIME Awareness
Combat Systems Test Activity, Aberdeen Proving Ground, Maryland
Community of Scientific and Technological Activities , a student activity in faculty of pharmacy Helwan university.
Computer S... |
https://en.wikipedia.org/wiki/Patience%20sorting | In computer science, patience sorting is a sorting algorithm inspired by, and named after, the card game patience. A variant of the algorithm efficiently computes the length of a longest increasing subsequence in a given array.
Overview
The algorithm's name derives from a simplified variant of the patience card game. ... |
https://en.wikipedia.org/wiki/Bargmann%27s%20limit | In quantum mechanics, Bargmann's limit, named for Valentine Bargmann, provides an upper bound on the number of bound states with azimuthal quantum number in a system with central potential . It takes the form
This limit is the best possible upper bound in such a way that for a given , one can always construct a pote... |
https://en.wikipedia.org/wiki/Yokogawa%20Electric | is a Japanese multinational electrical engineering and software company, with businesses based on its measurement, control, and information technologies.
It has a global workforce of over 19,000 employees, 84 subsidiary and 3 affiliated companies operating in 55 countries. The company is listed on the Tokyo Stock Exch... |
https://en.wikipedia.org/wiki/Shotgun%20%28disambiguation%29 | A shotgun is a type of firearm.
Sawed-off shotgun
Shotgun may also refer to:
Science and technology
Shotgun hill climbing, a type of mathematical optimization algorithm in computer science
Shotgun house, a type of narrow, rectangular house
Shotgun sequencing, a method of sequencing DNA
Shotgunning (cold reading), a... |
https://en.wikipedia.org/wiki/Eightfold%20way%20%28physics%29 | In physics, the eightfold way is an organizational scheme for a class of subatomic particles known as hadrons that led to the development of the quark model. Working alone, both the American physicist Murray Gell-Mann and the Israeli physicist Yuval Ne'eman proposed the idea in 1961.
The name comes from Gell-Mann's (19... |
https://en.wikipedia.org/wiki/Strong%20RSA%20assumption | In cryptography, the strong RSA assumption states that the RSA problem is intractable even when the solver is allowed to choose the public exponent e (for e ≥ 3). More specifically, given a modulus N of unknown factorization, and a ciphertext C, it is infeasible to find any pair (M, e) such that C ≡ M e mod N.
The s... |
https://en.wikipedia.org/wiki/Private%20information%20retrieval | In cryptography, a private information retrieval (PIR) protocol is a protocol that allows a user to retrieve an item from a server in possession of a database without revealing which item is retrieved. PIR is a weaker version of 1-out-of-n oblivious transfer, where it is also required that the user should not get infor... |
https://en.wikipedia.org/wiki/PWB/UNIX | The Programmer's Workbench (PWB/UNIX) is an early, now discontinued, version of the Unix operating system that had been created in the Bell Labs Computer Science Research Group of AT&T. Its stated goal was to provide a time-sharing working environment for large groups of programmers, writing software for larger batch p... |
https://en.wikipedia.org/wiki/Guard%20%28computer%20science%29 | In computer programming, a guard is a boolean expression that must evaluate to true if the program execution is to continue in the branch in question. Regardless of which programming language is used, a guard clause, guard code, or guard statement, is a check of integrity preconditions used to avoid errors during execu... |
https://en.wikipedia.org/wiki/Mathematische%20Arbeitstagung | The Mathematische Arbeitstagung taking place annually in Bonn since 1957, and founded by Friedrich Hirzebruch, was an international meeting of mathematicians intended to act in clearing-house fashion, by disseminating current research ideas; and, at the same time, to bring mathematics in West Germany back into its plac... |
https://en.wikipedia.org/wiki/Initial%20condition | In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0). For a system of order k (the number of time lags in discrete time, or the order of the larges... |
https://en.wikipedia.org/wiki/Ample%20line%20bundle | In mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an ample line bundle, although there are several related classes of line b... |
https://en.wikipedia.org/wiki/Social%20software%20%28research%20field%29 | In philosophy and the social sciences, social software is an interdisciplinary research program that borrows
mathematical tools and techniques from game theory and computer science in order to analyze and design social procedures. The goals of research in this field are modeling social situations, developing theories o... |
https://en.wikipedia.org/wiki/Algebroid | In mathematics, algebroid may refer to several distinct notions, which nevertheless all arise from generalising certain aspects of the theory of algebras or Lie algebras.
Algebroid branch, a formal power series branch of an algebraic curve
Algebroid cohomology
Algebroid multifunction
Courant algebroid, an object gener... |
https://en.wikipedia.org/wiki/Semidefinite%20embedding | Maximum Variance Unfolding (MVU), also known as Semidefinite Embedding (SDE), is an algorithm in computer science that uses semidefinite programming to perform non-linear dimensionality reduction of high-dimensional vectorial input data.
It is motivated by the observation that kernel Principal Component Analysis (kPCA... |
https://en.wikipedia.org/wiki/2C-T-4 | 2C-T-4 (2,5-dimethoxy-4-isopropylthiophenethylamine) is a psychedelic phenethylamine of the 2C family. It was first synthesized by Alexander Shulgin and is used as entheogenic recreational drug.
Chemistry
2C-T-4 is the 2-carbon homolog of aleph-4. The full chemical name is 2-[4-(isopropylthio)-2,5-dimethoxyphenyl]-e... |
https://en.wikipedia.org/wiki/Old%20quantum%20theory | The old quantum theory is a collection of results from the years 1900–1925 which predate modern quantum mechanics. The theory was never complete or self-consistent, but was rather a set of heuristic corrections to classical mechanics. The theory is now understood as the semi-classical approximation to modern quantum me... |
https://en.wikipedia.org/wiki/Block%20design | In combinatorial mathematics, a block design is an incidence structure consisting of a set together with a family of subsets known as blocks, chosen such that frequency of the elements satisfies certain conditions making the collection of blocks exhibit symmetry (balance). Block designs have applications in many areas,... |
https://en.wikipedia.org/wiki/Hewitt%20Bostock | Hewitt Bostock, (May 31, 1864 – April 28, 1930) was a Canadian publisher, businessman and politician.
He was born in Walton Heath, Epsom, England and studied at Trinity College, Cambridge graduating with honours in mathematics. Bostock then studied law and was called to the bar in 1888. Rather than begin a legal prac... |
https://en.wikipedia.org/wiki/ICE%20%28cipher%29 | In cryptography, ICE (Information Concealment Engine) is a symmetric-key block cipher published by Kwan in 1997. The algorithm is similar in structure to DES, but with the addition of a key-dependent bit permutation in the round function. The key-dependent bit permutation is implemented efficiently in software. The ICE... |
https://en.wikipedia.org/wiki/Waves%20Audio | Waves Audio Ltd. is a developer and supplier of professional digital audio signal processing technologies and audio effects, used in recording, mixing, mastering, post production, broadcast, and live sound. The company's corporate headquarters and main development facilities are located in Tel Aviv, with additional off... |
https://en.wikipedia.org/wiki/Peter%20Waage | Peter Waage (29 June 1833 – 13 January 1900) was a Norwegian chemist and professor of chemistry at the University of Kristiania. Along with his brother-in-law Cato Maximilian Guldberg, he co-discovered and developed the law of mass action between 1864 and 1879.
Biography
He grew up on the island of Hidra in Vest-Agde... |
https://en.wikipedia.org/wiki/Path%20%28topology%29 | In mathematics, a path in a topological space is a continuous function from the closed unit interval into
Paths play an important role in the fields of topology and mathematical analysis.
For example, a topological space for which there exists a path connecting any two points is said to be path-connected. Any spa... |
https://en.wikipedia.org/wiki/Loop%20%28topology%29 | In mathematics, a loop in a topological space is a continuous function from the unit interval to such that In other words, it is a path whose initial point is equal to its terminal point.
A loop may also be seen as a continuous map from the pointed unit circle into , because may be regarded as a quotient of u... |
https://en.wikipedia.org/wiki/Proper%20map | In mathematics, a function between topological spaces is called proper if inverse images of compact subsets are compact. In algebraic geometry, the analogous concept is called a proper morphism.
Definition
There are several competing definitions of a "proper function".
Some authors call a function between two topol... |
https://en.wikipedia.org/wiki/Pl%C3%BCcker%20embedding | In mathematics, the Plücker map embeds the Grassmannian , whose elements are k-dimensional subspaces of an n-dimensional vector space V, either real or complex, in a projective space, thereby realizing it as a projective algebraic variety. More precisely, the Plücker map embeds into the projectivization of the -th e... |
https://en.wikipedia.org/wiki/Mark%20Krein | Mark Grigorievich Krein (, ; 3 April 1907 – 17 October 1989) was a Soviet mathematician, one of the major figures of the Soviet school of functional analysis. He is known for works in operator theory (in close connection with concrete problems coming from mathematical physics), the problem of moments, classical analysi... |
https://en.wikipedia.org/wiki/George%20Gollin | George D. Gollin (born May 6, 1953) is an American physics professor at the University of Illinois at Urbana-Champaign. Besides his work on particle physics and the International Linear Collider, he has since 2003 made numerous efforts in fighting institutions which are considered to be diploma mills, which has caused ... |
https://en.wikipedia.org/wiki/Abraham%E2%80%93Minkowski%20controversy | The Abraham–Minkowski controversy is a physics debate concerning electromagnetic momentum within dielectric media. Two equations were first suggested by Hermann Minkowski (1908) and Max Abraham (1909) for this momentum. They predict different values, from which the name of the controversy derives. Experimental support ... |
https://en.wikipedia.org/wiki/Reuven%20Ramaty | Dr. Reuven Ramaty (1937—2001) was a Hungarian astrophysicist who worked for 30 years at NASA's NASA Goddard Space Flight Centre. He was a leader in the fields of solar physics, gamma-ray line spectrometry, nuclear astrophysics, and low-energy cosmic rays. Ramaty was a founding member of NASA's High Energy Solar Spectro... |
https://en.wikipedia.org/wiki/Splitting%20of%20prime%20ideals%20in%20Galois%20extensions | In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory. The splitting of prime ideals in Galois extensions is... |
https://en.wikipedia.org/wiki/Jeffrey%20A.%20Harvey | Jeffrey A. Harvey (born February 15, 1955 in San Antonio, Texas) is an American string theorist at the University of Chicago.
Scientific contributions
Among Harvey's many contributions to the field of theoretical physics, he is one of the co-discoverers of the heterotic string, along with David Gross, Emil Martinec, a... |
https://en.wikipedia.org/wiki/Pilot%20wave%20theory | In theoretical physics, the pilot wave theory, also known as Bohmian mechanics, was the first known example of a hidden-variable theory, presented by Louis de Broglie in 1927. Its more modern version, the de Broglie–Bohm theory, interprets quantum mechanics as a deterministic theory, avoiding troublesome notions such a... |
https://en.wikipedia.org/wiki/Jeffrey%20Harvey | Jeffrey Harvey may refer to:
Jeffrey A. Harvey (born 1955), professor of physics and string theorist at University of Chicago
Jeffrey Harvey (biologist) (born 1957), biologist at the Netherlands Institute of Ecology
See also
Geoff Harvey (1935–2019), English-Australian musician |
https://en.wikipedia.org/wiki/Tom%20Banks%20%28physicist%29 | Thomas Israel Banks (born April 19, 1949 in New York City) is a theoretical physicist and professor at Rutgers University and University of California, Santa Cruz.
Work
Banks' work centers around string theory and its applications to high energy particle physics and cosmology. He received his Ph.D. in physics from the... |
https://en.wikipedia.org/wiki/Ho%C5%99ava%E2%80%93Witten%20theory | In theoretical physics, the Hořava–Witten theory argues that the cancellation of anomalies guarantees that a supersymmetric gauge theory with the E8 gauge group propagates on a type of domain wall. This domain wall, a Hořava–Witten domain wall, behaves as a boundary of the eleven-dimensional spacetime in M-theory. Prop... |
https://en.wikipedia.org/wiki/Petr%20Ho%C5%99ava%20%28physicist%29 | Petr Hořava (born 1963 in Prostějov) is a Czech string theorist. He is a professor of physics in the Berkeley Center for Theoretical Physics at the University of California, Berkeley, where he teaches courses on quantum field theory and string theory. Hořava is a member of the theory group at Lawrence Berkeley National... |
https://en.wikipedia.org/wiki/LHC%40home | LHC@home is a volunteer computing project researching particle physics that uses the Berkeley Open Infrastructure for Network Computing (BOINC) platform. The project's computing power is utilized by physicists at CERN in support of the Large Hadron Collider and other experimental particle accelerators.
The project is ... |
https://en.wikipedia.org/wiki/Graviphoton | In theoretical physics and quantum physics, a graviphoton or gravivector is a hypothetical particle which emerges as an excitation of the metric tensor (i.e. gravitational field) in spacetime dimensions higher than four, as described in Kaluza–Klein theory.
However, its crucial physical properties are analogous to a (m... |
https://en.wikipedia.org/wiki/Extended%20supersymmetry | In theoretical physics, extended supersymmetry is supersymmetry whose infinitesimal generators carry not only a spinor index , but also an additional index where is integer (such as 2 or 4).
Extended supersymmetry is also called , supersymmetry, for example. Extended supersymmetry is very important for analysis of... |
https://en.wikipedia.org/wiki/Graviscalar | In theoretical physics, the hypothetical particle called the graviscalar or radion emerges as an excitation of general relativity's metric tensor, i.e. gravitational field, but is indistinguishable from a scalar in four dimensions, as shown in Kaluza–Klein theory. The scalar field comes from a component of the metric ... |
https://en.wikipedia.org/wiki/Electric%20displacement%20field | In physics, the electric displacement field (denoted by D) or electric induction is a vector field that appears in Maxwell's equations. It accounts for the electromagnetic effects of polarization and that of an electric field, combining the two in an auxiliary field. It plays a major role in topics such as the capacit... |
https://en.wikipedia.org/wiki/Peierls%20bracket | In theoretical physics, the Peierls bracket is an equivalent description of the Poisson bracket. It can be defined directly from the action and does not require the canonical coordinates and their canonical momenta to be defined in advance.
The bracket
is defined as
,
as the difference between some kind of action o... |
https://en.wikipedia.org/wiki/Almarian%20Decker | Almarian William Decker (born 1852, Ohio; d. Aug. 1893, Sierra Madre, California; interred Sierra Madre Pioneer Cemetery) was an American pioneer of electrical engineering involved in the early development of three-phase electrical power. In 1892 he was hired by H. H. Sinclair and Henry Fisher of the Redlands Electric ... |
https://en.wikipedia.org/wiki/Dangling%20bond | In chemistry, a dangling bond is an unsatisfied valence on an immobilized atom. An atom with a dangling bond is also referred to as an immobilized free radical or an immobilized radical, a reference to its structural and chemical similarity to a free radical.
When speaking of a dangling bond, one is generally referrin... |
https://en.wikipedia.org/wiki/Pairing | In mathematics, a pairing is an R-bilinear map from the Cartesian product of two R-modules, where the underlying ring R is commutative.
Definition
Let R be a commutative ring with unit, and let M, N and L be R-modules.
A pairing is any R-bilinear map . That is, it satisfies
,
and
for any and any and any . Equi... |
https://en.wikipedia.org/wiki/Green%27s%20relations | In mathematics, Green's relations are five equivalence relations that characterise the elements of a semigroup in terms of the principal ideals they generate. The relations are named for James Alexander Green, who introduced them in a paper of 1951. John Mackintosh Howie, a prominent semigroup theorist, described this ... |
https://en.wikipedia.org/wiki/Whitehead%20manifold | In mathematics, the Whitehead manifold is an open 3-manifold that is contractible, but not homeomorphic to discovered this puzzling object while he was trying to prove the Poincaré conjecture, correcting an error in an earlier paper where he incorrectly claimed that no such manifold exists.
A contractible manifold ... |
https://en.wikipedia.org/wiki/JH | JH may refer to:
Jh (digraph), in written language
JH (hash function), in cryptography
Japan Highway Public Corporation
Jharkhand, India (ISO 3166: JH)
Juvenile hormone
Fuji Dream Airlines (since 2008, IATA code JH), a Japanese airline
Harlequin Air (1997-2005, IATA code JH), a former Japanese airline
Nordeste... |
https://en.wikipedia.org/wiki/Horace%20Lamb | Sir Horace Lamb (27 November 1849 – 4 December 1934) was a British applied mathematician and author of several influential texts on classical physics, among them Hydrodynamics (1895) and Dynamical Theory of Sound (1910). Both of these books remain in print. The word vorticity was invented by Lamb in 1916.
Biography
... |
https://en.wikipedia.org/wiki/Manindra%20Agrawal | Manindra Agrawal (born 20 May 1966) is an Indian computer scientist and professor at the Department of Computer Science and Engineering at the Indian Institute of Technology, Kanpur. He was the recipient of the first Infosys Prize for Mathematics, the Godel Prize in 2006; and the Shanti Swarup Bhatnagar Award in Mathem... |
https://en.wikipedia.org/wiki/Pierre%20Varignon | Pierre Varignon (1654 – 23 December 1722) was a French mathematician. He was educated at the Jesuit College and the University of Caen, where he received his M.A. in 1682. He took Holy Orders the following year.
Varignon gained his first exposure to mathematics by reading Euclid and then Descartes' La Géométrie. He b... |
https://en.wikipedia.org/wiki/ExoMars | ExoMars (Exobiology on Mars) is an astrobiology programme of the European Space Agency (ESA) and the Russian space agency (Roscosmos).
The goals of ExoMars are to search for signs of past life on Mars, investigate how the Martian water and geochemical environment varies, investigate atmospheric trace gases and their s... |
https://en.wikipedia.org/wiki/Jacobian%20conjecture | In mathematics, the Jacobian conjecture is a famous unsolved problem concerning polynomials in several variables. It states that if a polynomial function from an n-dimensional space to itself has Jacobian determinant which is a non-zero constant, then the function has a polynomial inverse. It was first conjectured in 1... |
https://en.wikipedia.org/wiki/Shanti%20Swarup%20Bhatnagar%20Prize%20for%20Science%20and%20Technology | The Shanti Swarup Bhatnagar Prize for Science and Technology (SSB) is a science award in India given annually by the Council of Scientific and Industrial Research (CSIR) for notable and outstanding research, applied or fundamental, in biology, chemistry, environmental science, engineering, mathematics, medicine, and ph... |
https://en.wikipedia.org/wiki/Poisson%20formula | In mathematics, the Poisson formula, named after Siméon Denis Poisson, may refer to:
Poisson distribution in probability
Poisson summation formula in Fourier analysis
Poisson kernel in complex or harmonic analysis
Poisson–Jensen formula in complex analysis |
https://en.wikipedia.org/wiki/Alan%20Burns%20%28professor%29 | Professor Alan Burns FREng FIET FBCS FIEEE CEng is a professor in the Computer Science Department at the University of York, England. He has been at the University of York since 1990, and held the post of Head of Department from 1999 until 30 June 2006, when he was succeeded by John McDermid.
He is a member of the dep... |
https://en.wikipedia.org/wiki/Heine%E2%80%93Cantor%20theorem | In mathematics, the Heine–Cantor theorem, named after Eduard Heine and Georg Cantor, states that if is a continuous function between two metric spaces and , and is compact, then is uniformly continuous. An important special case is that every continuous function from a closed bounded interval to the real numbers is... |
https://en.wikipedia.org/wiki/P.%20K.%20Srinivasan | P.K. Srinivasan (PKS) (4 November 1924 – 20 June 2005) was a well known mathematics teacher in India. He taught mathematics at the Muthialpet High School in Chennai, India until his retirement. His singular dedication to education of mathematics would bring him to the United States, where he worked for a year, and then... |
https://en.wikipedia.org/wiki/Fialka | In cryptography, Fialka (M-125) is the name of a Cold War-era Soviet cipher machine. A rotor machine, the device uses 10 rotors, each with 30 contacts along with mechanical pins to control stepping. It also makes use of a punched card mechanism. Fialka means "violet" in Russian. Information regarding the machine was qu... |
https://en.wikipedia.org/wiki/Hilbert%E2%80%93Schmidt | In mathematics, Hilbert–Schmidt may refer to
a Hilbert–Schmidt operator;
a Hilbert–Schmidt integral operator;
the Hilbert–Schmidt theorem. |
https://en.wikipedia.org/wiki/American%20Regions%20Mathematics%20League | The American Regions Mathematics League (ARML), is an annual, national high school mathematics team competition held simultaneously at four locations in the United States: the University of Iowa, Penn State, University of Nevada, Reno, and the University of Alabama in Huntsville. Past sites have included San Jose Stat... |
https://en.wikipedia.org/wiki/Pre-intuitionism | In the philosophy of mathematics, the pre-intuitionists were a small but influential group who informally shared similar philosophies on the nature of mathematics. The term itself was used by L. E. J. Brouwer, who in his 1951 lectures at Cambridge described the differences between intuitionism and its predecessors:
Of... |
https://en.wikipedia.org/wiki/Parcel | Parcel may refer to:
Parcels (band), an Australian modern soul band
Parcel (consignment), an individual consignment of cargo for shipment
Parcel (film), 2019 Bengali film
Parcel (package), sent through the mail or package delivery
Fluid parcel, a concept in fluid dynamics
Land lot, a piece of land
Placer (geog... |
https://en.wikipedia.org/wiki/Mohr%E2%80%93Mascheroni%20theorem | In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone.
It must be understood that "any geometric construction" refers to figures that contain no straight lines, as it is clearly impossible to draw a str... |
https://en.wikipedia.org/wiki/Laws%20of%20robotics | Laws of robotics are any set of laws, rules, or principles, which are intended as a fundamental framework to underpin the behavior of robots designed to have a degree of autonomy. Robots of this degree of complexity do not yet exist, but they have been widely anticipated in science fiction, films and are a topic of act... |
https://en.wikipedia.org/wiki/CellML | CellML is an XML based markup language for describing mathematical models. Although it could theoretically describe any mathematical model, it was originally created with the Physiome Project in mind, and hence used primarily to describe models relevant to the field of biology. This is reflected in its name CellML, alt... |
https://en.wikipedia.org/wiki/Initial%20topology | In general topology and related areas of mathematics, the initial topology (or induced topology or weak topology or limit topology or projective topology) on a set with respect to a family of functions on is the coarsest topology on that makes those functions continuous.
The subspace topology and product topology c... |
https://en.wikipedia.org/wiki/Formal%20proof | In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference. It differs from a natural language argument i... |
https://en.wikipedia.org/wiki/List%20of%20loop%20quantum%20gravity%20researchers | This is a list researchers in the physics field of loop quantum gravity who have Wikipedia articles.
Abhay Ashtekar, Pennsylvania State University, United States
John Baez, University of California, Riverside, United States
Aurélien Barrau, Université Grenoble Alpes, Grenoble, France
John W. Barrett, University of... |
https://en.wikipedia.org/wiki/Hamiltonian%20system | A Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such as a planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory.
Ove... |
https://en.wikipedia.org/wiki/Downregulation%20and%20upregulation | In biochemistry, in the biological context of organisms' regulation of gene expression and production of gene products, downregulation is the process by which a cell decreases the production and quantities of its cellular components, such as RNA and proteins, in response to an external stimulus. The complementary proce... |
https://en.wikipedia.org/wiki/Piermaria%20Oddone | Piermaria Jorge Oddone (born March 26, 1944 in Arequipa, Peru) is a Peruvian-American particle physicist.
Oddone earned his bachelor's degree in physics at the Massachusetts Institute of Technology in 1965 and a PhD in physics from Princeton University in 1970.
From 1972, Oddone worked at the US Department of Energy’... |
https://en.wikipedia.org/wiki/Function%20generator | In electrical engineering, a function generator is usually a piece of electronic test equipment or software used to generate different types of electrical waveforms over a wide range of frequencies. Some of the most common waveforms produced by the function generator are the sine wave, square wave, triangular wave and ... |
https://en.wikipedia.org/wiki/Subgroup%20growth | In mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group.
Let be a finitely generated group. Then, for each integer define to be the number of subgroups of index in . Similarly, if is a topological group, denotes the number of open subgrou... |
https://en.wikipedia.org/wiki/Conditional%20convergence | In mathematics, a series or integral is said to be conditionally convergent if it converges, but it does not converge absolutely.
Definition
More precisely, a series of real numbers is said to converge conditionally if
exists (as a finite real number, i.e. not or ), but
A classic example is the alternating harmo... |
https://en.wikipedia.org/wiki/Music%20from%20The%20Body | Music from The Body is the soundtrack album to Roy Battersby's 1970 documentary film The Body, about human biology, narrated by Vanessa Redgrave and Frank Finlay.
History
The music was composed in collaboration between Pink Floyd member Roger Waters and Ron Geesin, the same year they worked together on Atom Heart Moth... |
https://en.wikipedia.org/wiki/Harold%20W.%20Kuhn | Harold William Kuhn (July 29, 1925 – July 2, 2014) was an American mathematician who studied game theory. He won the 1980 John von Neumann Theory Prize along with David Gale and Albert W. Tucker. A former Professor Emeritus of Mathematics at Princeton University, he is known for the Karush–Kuhn–Tucker conditions, for... |
https://en.wikipedia.org/wiki/California%20Academy%20of%20Mathematics%20and%20Science | The California Academy of Mathematics and Science (CAMS) is a public magnet high school in Carson, California, United States focusing on science and mathematics. Its California API scores are fourth-highest in the state.
Located on the campus of California State University, Dominguez Hills, CAMS shares many facilities... |
https://en.wikipedia.org/wiki/Comodule | In mathematics, a comodule or corepresentation is a concept dual to a module. The definition of a comodule over a coalgebra is formed by dualizing the definition of a module over an associative algebra.
Formal definition
Let K be a field, and C be a coalgebra over K. A (right) comodule over C is a K-vector space M ... |
https://en.wikipedia.org/wiki/Homotopy%20sphere | In algebraic topology, a branch of mathematics, a homotopy sphere is an n-manifold that is homotopy equivalent to the n-sphere. It thus has the same homotopy groups and the same homology groups as the n-sphere, and so every homotopy sphere is necessarily a homology sphere.
The topological generalized Poincaré conjectu... |
https://en.wikipedia.org/wiki/Relational%20operator | In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities. These include numerical equality (e.g., ) and inequalities (e.g., ).
In programming languages that include a distinct boolean data type in their type system, like... |
https://en.wikipedia.org/wiki/Pr%C3%BCfer%20rank | In mathematics, especially in the area of algebra known as group theory, the Prüfer rank of a pro-p group measures the size of a group in terms of the ranks of its elementary abelian sections. The rank is well behaved and helps to define analytic pro-p-groups. The term is named after Heinz Prüfer.
Definition
The Prü... |
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