source stringlengths 31 207 | text stringlengths 12 1.5k |
|---|---|
https://en.wikipedia.org/wiki/DC%20bias | In signal processing, when describing a periodic function in the time domain, the DC bias, DC component, DC offset, or DC coefficient is the mean amplitude of the waveform. If the mean amplitude is zero, there is no DC bias. A waveform with no DC bias is known as a DC balanced or DC free waveform.
Origin
The term orig... |
https://en.wikipedia.org/wiki/FPT | FPT may refer to:
Female pipe tapered; see National pipe thread
F/P/T, an acronym used by Canadian governments to designate a joint Special Advisory Committee of Federal/Provincial/Territorial civil servants
Fiat Powertrain Technologies, an Italian automotive company
Fixed-parameter tractability, in computer scie... |
https://en.wikipedia.org/wiki/Polarization%20identity | In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space.
If a norm arises from an inner product then the polarization identity can be used to express this inner product entirely ... |
https://en.wikipedia.org/wiki/216%20%28number%29 | 216 (two hundred [and] sixteen) is the natural number following 215 and preceding 217. It is a cube, and is often called Plato's number, although it is not certain that this is the number intended by Plato.
In mathematics
216 is the cube of 6, and the sum of three cubes:
It is the smallest cube that can be represent... |
https://en.wikipedia.org/wiki/Joel%20Brawley | Joel Vincent Brawley, Jr. is the Alumni Distinguished Professor of Mathematical Sciences at Clemson University. Brawley is reputed nationally for being a prolific mathematics educator and is regarded highly for his teaching abilities. Brawley is also a prominent researcher in the field of algebra, specifically finite f... |
https://en.wikipedia.org/wiki/Declan%20Curry | Declan Gerald Curry (born 5 September 1971) is a Northern Irish freelance journalist, news presenter and businessman, best known as the former business correspondent for BBC Breakfast.
Early life
Curry was born and raised in Strabane, County Tyrone, Northern Ireland.
Career
Early career
Curry studied chemistry at Im... |
https://en.wikipedia.org/wiki/Fetch-and-add | In computer science, the fetch-and-add (FAA) CPU instruction atomically increments the contents of a memory location by a specified value.
That is, fetch-and-add performs the operation
increment the value at address by , where is a memory location and is some value, and return the original value at .
in such a way... |
https://en.wikipedia.org/wiki/NAV | NAV or Nav may refer to:
Government agencies
Norwegian Labour and Welfare Administration, Norwegian public welfare agency, the Norwegian abbreviation and common name is NAV.
Medicine and biology
Nav, voltage-gated sodium channels
nerve-artery-vein (anatomy), when all these follow a common pathway
Nomina Anatomi... |
https://en.wikipedia.org/wiki/List%20of%20Carnegie%20Mellon%20University%20people | This is a list of notable people associated with Carnegie Mellon University in the United States of America.
Notable students and alumni
Nobel laureates
Turing Award recipients
Wolf Prize recipients
Raoul Bott (Ph.D. 1949), Wolf Prize in Mathematics, 2000
Enrico Fermi Award winners
George Cowan (Ph.D. 1950), nucle... |
https://en.wikipedia.org/wiki/List%20of%20University%20of%20Wisconsin%E2%80%93Madison%20people | This is a list of notable people who attended, or taught at, the University of Wisconsin–Madison:
Notable alumni
Nobel laureates
John Bardeen, B.S. 1928 and M.S. 1929, only two-time recipient of the Nobel Prize in Physics in 1956 and 1972
Saul Bellow, recipient of the Nobel Prize for Literature in 1976
Günter Blo... |
https://en.wikipedia.org/wiki/USA%20Biolympiad | The USA Biolympiad (USABO), formerly called the USA Biology Olympiad before January 1, 2020, is a national competition sponsored by the Center for Excellence in Education to select the competitors for the International Biology Olympiad. Each year, twenty National Finalists gather at a nationally recognized institution... |
https://en.wikipedia.org/wiki/Zwitter | Zwitter is the German word for "hybrid" or "hermaphrodite". It may refer to:
A zwitterion, in chemistry
An intersex person, in Karl Heinrich Ulrichs' Uranian typology
A song on the Rammstein album Mutter |
https://en.wikipedia.org/wiki/One-hot | In digital circuits and machine learning, a one-hot is a group of bits among which the legal combinations of values are only those with a single high (1) bit and all the others low (0). A similar implementation in which all bits are '1' except one '0' is sometimes called one-cold. In statistics, dummy variables represe... |
https://en.wikipedia.org/wiki/Hypergeometric%20function | In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a solution of a second-order linear ordinary differential equation (ODE). Every second-order linea... |
https://en.wikipedia.org/wiki/Zhou%20Kexi | Zhou Kexi (), born 1942, is a Chinese translator of French literature.
Biography
Zhou gained a degree in mathematics from Fudan University. He acquired the French language and became interested in French literature while studying at École Normale Supérieure in Paris. He became a full-time literary editor in the 1980s,... |
https://en.wikipedia.org/wiki/Aharon%20Katzir | Aharon Katzir (born Aharon Katchalsky; September 15, 1914 – May 30, 1972) was an Israeli pioneer in the study of the electrochemistry of biopolymers.
Biography
Born 1914 in Łódź, Poland, he moved to Mandatory Palestine in 1925, where he taught at the Hebrew University in Jerusalem. There, he adopted his Hebrew surname... |
https://en.wikipedia.org/wiki/Pre-echo | In audio signal processing, pre-echo, sometimes called a forward echo, (not to be confused with reverse echo) is a digital audio compression artifact where a sound is heard before it occurs (hence the name). It is most noticeable in impulsive sounds from percussion instruments such as castanets or cymbals.
It occurs i... |
https://en.wikipedia.org/wiki/Mad%20Thinker | The Mad Thinker is a supervillain appearing in American comic books published by Marvel Comics. He is portrayed to be an evil genius specializing in robotics. He is sometimes referred to just as "The Thinker".
Publication history
The Mad Thinker was introduced by Stan Lee and Jack Kirby in Fantastic Four #15 (June 19... |
https://en.wikipedia.org/wiki/Elevator%20paradox%20%28physics%29 | The elevator paradox relates to a hydrometer placed on an "elevator" or vertical conveyor that, by moving to different elevations, changes the atmospheric pressure. In this classic demonstration, the floating hydrometer remains at an equilibrium position. Essentially, a hydrometer measures specific gravity of liquids ... |
https://en.wikipedia.org/wiki/Dan%20McKenzie%20%28geophysicist%29 | Dan Peter McKenzie (born 21 February 1942) is a Professor of Geophysics at the University of Cambridge, and one-time head of the Bullard Laboratories of the Cambridge Department of Earth Sciences. He wrote the first paper defining the mathematical principles of plate tectonics on a sphere, and his early work on mantle... |
https://en.wikipedia.org/wiki/European%20Bioinformatics%20Institute | The European Bioinformatics Institute (EMBL-EBI) is an intergovernmental organization (IGO) which, as part of the European Molecular Biology Laboratory (EMBL) family, focuses on research and services in bioinformatics. It is located on the Wellcome Genome Campus in Hinxton near Cambridge, and employs over 600 full-time... |
https://en.wikipedia.org/wiki/Thorin%20%28chemistry%29 | Thorin (also called thoron or thoronol) is an indicator used in the determination of barium, beryllium, lithium, uranium and thorium compounds. Being a compound of arsenic, it is highly toxic.
References
External links
MSDS at Oxford University
Azo compounds
Naphthalenesulfonates
Organic sodium salts
2-Naphthols
T... |
https://en.wikipedia.org/wiki/List%20of%20University%20of%20Kentucky%20alumni | This is a list of notable people associated with the University of Kentucky in the United States.
Notable alumni (non-sports)
Academia and research
Albert Balows (1921–2006), clinical microbiologist and the president of the American Society for Microbiology
Irving Millman (1923–2012), virologist and microbiologist
... |
https://en.wikipedia.org/wiki/Substructure%20%28mathematics%29 | In mathematical logic, an (induced) substructure or (induced) subalgebra is a structure whose domain is a subset of that of a bigger structure, and whose functions and relations are restricted to the substructure's domain. Some examples of subalgebras are subgroups, submonoids, subrings, subfields, subalgebras of algeb... |
https://en.wikipedia.org/wiki/Charles%20Philippe%20Leblond | Charles Philippe Leblond (February 5, 1910 – April 10, 2007) was a pioneer of cell biology and stem cell research and a Canadian former professor of anatomy. Leblond is notable for developing autoradiography and his work showing how cells continuously renew themselves, regardless of age.
Main research interests
In 19... |
https://en.wikipedia.org/wiki/Free-energy%20relationship | In physical organic chemistry, a free-energy relationship or Gibbs energy relation relates the logarithm of a reaction rate constant or equilibrium constant for one series of chemical reactions with the logarithm of the rate or equilibrium constant for a related series of reactions. Free energy relationships establish... |
https://en.wikipedia.org/wiki/List%20of%20Guggenheim%20Fellowships%20awarded%20in%201971 | List of Guggenheim Fellowship winners for 1971.
United States and Canada fellows
Gar Alperovitz, Lionel R. Bauman Professor of Political Economy, University of Maryland.
Lars V. Ahlfors, Mathematics
Claudia Andujar, Photographer, Sao Paulo
Rutherford Aris, Regents' Professor Emeritus of Chemical Engineering, Univ... |
https://en.wikipedia.org/wiki/Pre-algebra | Prealgebra is a common name for a course in middle school mathematics in the United States, usually taught in the 7th grade or 8th grade. The objective of it is to prepare students for the study of algebra. Usually, algebra is taught in the 8th and 9th grade.
As an intermediate stage after arithmetic, prealgebra helps... |
https://en.wikipedia.org/wiki/Academy%20for%20Mathematics%2C%20Science%2C%20and%20Engineering | The Academy for Mathematics, Science, and Engineering (AMSE) is a four-year magnet public high school program intended to prepare students for STEM careers. Housed on the campus of Morris Hills High School in Rockaway, New Jersey, United States, it is a joint endeavor between the Morris County Vocational School Distric... |
https://en.wikipedia.org/wiki/Scientific%20community%20metaphor | In computer science, the scientific community metaphor is a metaphor used to aid understanding scientific communities. The first publications on the scientific community metaphor in 1981 and 1982 involved the development of a programming language named Ether that invoked procedural plans to process goals and assertion... |
https://en.wikipedia.org/wiki/Analog%20modeling%20synthesizer | An analog modeling synthesizer is a synthesizer that generates the sounds of traditional analog synthesizers using digital signal processing components and software algorithms. Analog modeling synthesizers simulate the behavior of the original electronic circuitry in order to digitally replicate their tone.
This metho... |
https://en.wikipedia.org/wiki/K-function | In mathematics, the -function, typically denoted K(z), is a generalization of the hyperfactorial to complex numbers, similar to the generalization of the factorial to the gamma function.
Definition
Formally, the -function is defined as
It can also be given in closed form as
where denotes the derivative of the ... |
https://en.wikipedia.org/wiki/Barnes%20G-function | In mathematics, the Barnes G-function G(z) is a function that is an extension of superfactorials to the complex numbers. It is related to the gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes. It can be written in terms of the double gamma functio... |
https://en.wikipedia.org/wiki/Perturbative%20quantum%20chromodynamics | Perturbative quantum chromodynamics (also perturbative QCD) is a subfield of particle physics in which the theory of strong interactions, Quantum Chromodynamics (QCD), is studied by using the fact that the strong coupling constant is small in high energy or short distance interactions, thus allowing perturbation theor... |
https://en.wikipedia.org/wiki/Few-body%20systems | In mechanics, a few-body system consists of a small number of well-defined structures or point particles.
Quantum mechanics
In quantum mechanics, examples of few-body systems include light nuclear systems (that is, few-nucleon bound and scattering states), small molecules, light atoms (such as helium in an external e... |
https://en.wikipedia.org/wiki/Impurity | In chemistry and materials science, impurities are chemical substances inside a confined amount of liquid, gas, or solid, which differ from the chemical composition of the material or compound. Firstly, a pure chemical should appear thermodynamically in at least one chemical phase and can also be characterized by its o... |
https://en.wikipedia.org/wiki/Homothetic%20vector%20field | In physics, a homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition:
where c is a real constant. Homothetic vector fields find application in the study of singularities in general relativity. They can also be used to generate new solutions f... |
https://en.wikipedia.org/wiki/Victor%20Wickerhauser | Mladen Victor Wickerhauser was born in Zagreb, SR Croatia, in 1959. He is a graduate of the California Institute of Technology and Yale University.
He is currently a professor of Mathematics and of Biomedical Engineering at Washington University in St. Louis. He has six U.S. patents and more than 100 publications. One... |
https://en.wikipedia.org/wiki/Symplectic%20integrator | In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of geometric integrators which, by definition, are canonical transformations. They are widely used in nonlinear dynamics, molecular dynamics, discrete element methods, acceler... |
https://en.wikipedia.org/wiki/Eric%20Fawcett | Eric Fawcett (23 August 1927 – 2 September 2000), was a professor of physics at the University of Toronto for 23 years. He also co-founded Science for Peace.
Academic and professional life
Fawcett began his prestigious career in physics with a full scholarship to the University of Cambridge. After graduation, he cross... |
https://en.wikipedia.org/wiki/Claude%20Mydorge | Claude Mydorge (1585 – July 1647) was a French mathematician. His primary contributions were in geometry and physics.
Mydorge served on a scientific committee (whose members included Pierre Hérigone and Étienne Pascal) set up to determine whether Jean-Baptiste Morin's scheme for determining longitude from the Moon's m... |
https://en.wikipedia.org/wiki/Exuviae | In biology, exuviae are the remains of an exoskeleton and related structures that are left after ecdysozoans (including insects, crustaceans and arachnids) have moulted. The exuviae of an animal can be important to biologists as they can often be used to identify the species of the animal and even its sex.
As studying... |
https://en.wikipedia.org/wiki/Robert%20Sapolsky | Robert Morris Sapolsky (born April 6, 1957) is an American neuroendocrinology researcher and author. He is a professor of biology, neurology, neurological sciences, and neurosurgery at Stanford University. In addition, he is a research associate at the National Museums of Kenya.
Early life and education
Sapolsky was ... |
https://en.wikipedia.org/wiki/Chirotechnology | Chirotechnology in materials science is the chemistry and technology of production and separation of enantiomers.
References
Materials science |
https://en.wikipedia.org/wiki/James%20E.%20McDonald | James Edward McDonald (May 7, 1920 – June 13, 1971) was an American physicist. He is best known for his research regarding UFOs. McDonald was a senior physicist at the Institute for Atmospheric Physics and a professor of meteorology at the University of Arizona in Tucson.
During the 1960s McDonald campaigned in suppor... |
https://en.wikipedia.org/wiki/Parent%20pointer%20tree | In computer science, an in-tree or parent pointer tree is an -ary tree data structure in which each node has a pointer to its parent node, but no pointers to child nodes. When used to implement a set of stacks, the structure is called a spaghetti stack, cactus stack or sahuaro stack (after the sahuaro, a kind of cactus... |
https://en.wikipedia.org/wiki/Multi-configurational%20self-consistent%20field | Multi-configurational self-consistent field (MCSCF) is a method in quantum chemistry used to generate qualitatively correct reference states of molecules in cases where Hartree–Fock and density functional theory are not adequate (e.g., for molecular ground states which are quasi-degenerate with low-lying excited states... |
https://en.wikipedia.org/wiki/Carbodiimide | In organic chemistry, a carbodiimide (systematic IUPAC name: methanediimine) is a functional group with the formula RN=C=NR. On Earth they are exclusively synthetic, but in interstellar space the parent compound HN=C=NH has been detected by its maser emissions.
A well known carbodiimide is dicyclohexylcarbodiimide, wh... |
https://en.wikipedia.org/wiki/Post%E2%80%93Hartree%E2%80%93Fock | In computational chemistry, post–Hartree–Fock (post-HF) methods are the set of methods developed to improve on the Hartree–Fock (HF), or self-consistent field (SCF) method. They add electron correlation which is a more accurate way of including the repulsions between electrons than in the Hartree–Fock method where repu... |
https://en.wikipedia.org/wiki/Animal%20Dreams | Animal Dreams is a 1990 novel by Barbara Kingsolver. A woman named Cosima "Codi" Noline returns to her hometown of Grace, Arizona to help her aging father, who is slowly losing his struggle with Alzheimer's disease. She takes a biology teacher position at the local high school and lives with her old high school friend,... |
https://en.wikipedia.org/wiki/IDEA%20NXT | In cryptography, the IDEA NXT algorithm (previously known as FOX) is a block cipher designed by Pascal Junod and Serge Vaudenay of EPFL (Lausanne, Switzerland). It was conceived between 2001 and 2003. The project was originally named FOX and was published in 2003. In May 2005, it was announced by MediaCrypt under the ... |
https://en.wikipedia.org/wiki/Fran%C3%A7ois%20Sulpice%20Beudant | François Sulpice Beudant (5 September 1787 – 10 December 1850) was a French mineralogist and geologist. The mineral beudantite was named after him.
Life
He was born in Paris.
He was educated at the Ecole Polytechnique and Ecole Normale, and in 1811 was appointed professor of mathematics at the lycée of Avignon. Thenc... |
https://en.wikipedia.org/wiki/Mongolian%20Social%20Democratic%20Party | The Mongolian Social Democratic Party (, , sometimes also referred to as Sotsdek nam) is a political party in Mongolia.
It was founded in 1990 by Bat-Erdeniin Batbayar. Other prominent members included A.Ganbaatar, Losolyn Byambajargal and Radnaasümbereliin Gonchigdorj. A considerable number of members came from the m... |
https://en.wikipedia.org/wiki/Palladium%28II%29%20chloride | Palladium(II) chloride, also known as palladium dichloride and palladous chloride, are the chemical compounds with the formula PdCl2. PdCl2 is a common starting material in palladium chemistry – palladium-based catalysts are of particular value in organic synthesis. It is prepared by the reaction of chlorine with palla... |
https://en.wikipedia.org/wiki/Routh%E2%80%93Hurwitz%20theorem | In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left half-plane. Polynomials with this property are called Hurwitz stable polynomials. The Routh–Hurwitz theorem is important in dynamical systems and control theory, because the characteristic polyno... |
https://en.wikipedia.org/wiki/Pentation | In mathematics, pentation (or hyper-5) is the next hyperoperation (infinite sequence of arithmetic operations) after tetration and before hexation. It is defined as iterated (repeated) tetration (assuming right-associativity), just as tetration is iterated right-associative exponentiation. It is a binary operation defi... |
https://en.wikipedia.org/wiki/List%20of%20chaotic%20maps | In mathematics, a chaotic map is a map (namely, an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems.
Chaot... |
https://en.wikipedia.org/wiki/Bruce%20Alberts | Bruce Michael Alberts (born April 14, 1938, in Chicago, Illinois) is an American biochemist and the Chancellor’s Leadership Chair in Biochemistry and Biophysics for Science and Education, emeritus at the University of California, San Francisco. He has done important work studying the protein complexes which enable chro... |
https://en.wikipedia.org/wiki/Tent%20map | In mathematics, the tent map with parameter μ is the real-valued function fμ defined by
the name being due to the tent-like shape of the graph of fμ. For the values of the parameter μ within 0 and 2, fμ maps the unit interval [0, 1] into itself, thus defining a discrete-time dynamical system on it (equivalently, a rec... |
https://en.wikipedia.org/wiki/Ng%20Ching-fai | Ng Ching-fai, GBS (; born 20 November 1939 in Shanghai, China) is a Professor of Chemistry and the former President and Vice-Chancellor of Hong Kong Baptist University and the President of United International College.
Before he became the President and Vice-Chancellor of HKBU, Ng was the Dean of the Faculty of Scienc... |
https://en.wikipedia.org/wiki/Costas%20array | In mathematics, a Costas array can be regarded geometrically as a set of n points, each at the center of a square in an n×n square tiling such that each row or column contains only one point, and all of the n(n − 1)/2 displacement vectors between each pair of dots are distinct. This results in an ideal "thumbtack" auto... |
https://en.wikipedia.org/wiki/Cheletropic%20reaction | In organic chemistry, cheletropic reactions, also known as chelotropic reactions, are a type of pericyclic reaction (a chemical reaction that involves a transition state with a cyclic array of atoms and an associated cyclic array of interacting orbitals). Specifically, cheletropic reactions are a subclass of cycloaddit... |
https://en.wikipedia.org/wiki/Stability%20radius | In mathematics, the stability radius of an object (system, function, matrix, parameter) at a given nominal point is the radius of the largest ball, centered at the nominal point, all of whose elements satisfy pre-determined stability conditions. The picture of this intuitive notion is this:
where denotes the nomi... |
https://en.wikipedia.org/wiki/Triangle%20group | In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle. The triangle can be an ordinary Euclidean triangle, a triangle on the sphere, or a hyperbolic triangle. Each triangle group is the symmetry group of a tiling of the Euclidean plane... |
https://en.wikipedia.org/wiki/Lebesgue%27s%20lemma | For Lebesgue's lemma for open covers of compact spaces in topology see Lebesgue's number lemma
In mathematics, Lebesgue's lemma is an important statement in approximation theory. It provides a bound for the projection error, controlling the error of approximation by a linear subspace based on a linear projection rela... |
https://en.wikipedia.org/wiki/SUNMOS | SUNMOS (Sandia/UNM Operating System) is an operating system jointly developed by Sandia National Laboratories and the Computer Science Department at the University of New Mexico. The goal of the project, started in 1991, is to develop a highly portable, yet efficient, operating system for massively parallel-distributed... |
https://en.wikipedia.org/wiki/Popular%20mathematics | Popular mathematics is mathematical presentation aimed at a general audience. Sometimes this is in the form of books which require no mathematical background and in other cases it is in the form of expository articles written by professional mathematicians to reach out to others working in different areas.
Notable wor... |
https://en.wikipedia.org/wiki/156%20%28number%29 | 156 (one hundred [and] fifty-six) is the natural number, following 155 and preceding 157.
In mathematics
156 is an abundant number, a pronic number, a dodecagonal number, and a refactorable number.
156 is the number of graphs on 6 unlabeled nodes.
156 is a repdigit in base 5 (1111), and also in bases 25, 38, 51, 77... |
https://en.wikipedia.org/wiki/Heun%20function | In mathematics, the local Heun function is the solution of Heun's differential equation that is holomorphic and 1 at the singular point z = 0. The local Heun function is called a Heun function, denoted Hf, if it is also regular at z = 1, and is called a Heun polynomial, denoted Hp, if it is regular at all three fi... |
https://en.wikipedia.org/wiki/Lebesgue%20constant | In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial approximation of the function (the degree of the polynomials are fixed). The Lebesgue constant for polynomials of de... |
https://en.wikipedia.org/wiki/Bj%C3%B6rn%20Engquist | Björn Engquist (also Bjorn Engquist; born 2 June 1945 in Stockholm) has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians.
Life
He received his PhD in numerical analysis from University of Uppsala in 1975, and taught there duri... |
https://en.wikipedia.org/wiki/Heinz-Otto%20Kreiss | Heinz-Otto Kreiss (14 September 1930 – 16 December 2015) was a German mathematician in the fields of numerical analysis, applied mathematics, and what was the new area of computing in the early 1960s. Born in Hamburg, Germany, he earned his Ph.D. at Kungliga Tekniska Högskolan in 1959. Over the course of his long caree... |
https://en.wikipedia.org/wiki/Q-theta%20function | In mathematics, the q-theta function (or modified Jacobi theta function) is a type of q-series which is used to define elliptic hypergeometric series.
It is given by
where one takes 0 ≤ |q| < 1. It obeys the identities
It may also be expressed as:
where is the q-Pochhammer symbol.
See also
elliptic hypergeometr... |
https://en.wikipedia.org/wiki/Elliptic%20gamma%20function | In mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely related to a function studied by , and can be expressed in terms of the triple gamma function. It is given by
It obeys several identities:
and
where θ is... |
https://en.wikipedia.org/wiki/Lattice%20group | In mathematics, the term lattice group is used for two distinct notions:
a lattice (group), a discrete subgroup of Rn and its generalizations
a lattice ordered group, a group that with a partial ordering that is a lattice order |
https://en.wikipedia.org/wiki/Bessel%20filter | In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase response), which preserves the wave shape of filtered signals in the passband. Bessel filters are often used in audio crossover systems.
The filter's name is a referen... |
https://en.wikipedia.org/wiki/Picard%E2%80%93Fuchs%20equation | In mathematics, the Picard–Fuchs equation, named after Émile Picard and Lazarus Fuchs, is a linear ordinary differential equation whose solutions describe the periods of elliptic curves.
Definition
Let
be the j-invariant with and the modular invariants of the elliptic curve in Weierstrass form:
Note that the j-inv... |
https://en.wikipedia.org/wiki/Modular%20invariant | In mathematics, a modular invariant may be
A modular invariant of a group acting on a vector space of positive characteristic
The elliptic modular function, giving the modular invariant of an elliptic curve. |
https://en.wikipedia.org/wiki/Riemann%27s%20differential%20equation | In mathematics, Riemann's differential equation, named after Bernhard Riemann, is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0, 1, and . The equation is also known as the Papperitz equation.
The hyp... |
https://en.wikipedia.org/wiki/Srinivasan%20Keshav | Srinivasan Keshav is an American-Canadian Computer Scientist of Indian descent who is currently the Robert Sansom Professor of Computer Science at the University of Cambridge.
Biography
After undergraduate studies at the Indian Institute of Technology, Delhi in 1986, he received his PhD in 1991 from the University of... |
https://en.wikipedia.org/wiki/Phosphoric%20acids%20and%20phosphates | In chemistry, a phosphoric acid, in the general sense, is a phosphorus oxoacid in which each phosphorus (P) atom is in the oxidation state +5, and is bonded to four oxygen (O) atoms, one of them through a double bond, arranged as the corners of a tetrahedron. Two or more of these tetrahedra may be connected by shared... |
https://en.wikipedia.org/wiki/Neuroprosthetics | Neuroprosthetics (also called neural prosthetics) is a discipline related to neuroscience and biomedical engineering concerned with developing neural prostheses. They are sometimes contrasted with a brain–computer interface, which connects the brain to a computer rather than a device meant to replace missing biologica... |
https://en.wikipedia.org/wiki/Institute%20of%20Psychiatry%2C%20Psychology%20and%20Neuroscience | The Institute of Psychiatry, Psychology and Neuroscience (IoPPN) is a research institution dedicated to discovering what causes mental illness and diseases of the brain. In addition, its aim is to help identify new treatments for them and ways to prevent them in the first place. The IoPPN is a faculty of King's College... |
https://en.wikipedia.org/wiki/Category%20of%20small%20categories | In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms.
The initial ob... |
https://en.wikipedia.org/wiki/QDA | QDA may refer to:
Qualitative Data Analysis as used in qualitative research
Quadratic discriminant analysis as used in statistical classification or as a quadratic classifier in machine learning
The .QDA filename extension, used for Quadruple D archives |
https://en.wikipedia.org/wiki/Iran%20University%20of%20Science%20and%20Technology | Iran University of Science and Technology (IUST) (, Daneshgah-e 'elm vâ Sân'at-e Iran) is a research institution and university of engineering and science in Iran. The university is home to 15 faculties offering undergraduate and postgraduate degrees in a wide range of engineering-based subjects as well as maths, physi... |
https://en.wikipedia.org/wiki/Kerson%20Huang | Kerson Huang (; 15 March 1928 – 1 September 2016) was a Chinese-born American theoretical physicist and translator.
Huang was born in Nanning, China and grew up in Manila, Philippines. He earned a B.S. and a Ph.D. in physics from the Massachusetts Institute of Technology (MIT) in 1950 and 1953, respectively. He served... |
https://en.wikipedia.org/wiki/Semileptonic%20decay | In particle physics the semileptonic decay of a hadron is a decay caused by the weak force in which one lepton (and the corresponding neutrino) is produced in addition to one or more hadrons. An example for this can be
→ + +
This is to be contrasted with purely hadronic decays, such as → + , which are also media... |
https://en.wikipedia.org/wiki/Hans%20Westerhoff | Hans Victor Westerhoff (born 14 January 1953 in Amsterdam, Netherlands) is a Dutch biologist and biochemist who is professor of synthetic systems biology at the University of Amsterdam and AstraZeneca professor of systems biology at the University of Manchester. Currently he is a Chair of AstraZeneca and a director of ... |
https://en.wikipedia.org/wiki/Manifold | In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an -dimensional manifold, or -manifold for short, is a topological space with the property that each point has a neighborhood that is homeomorphic to an open subset of -dimensional Euclidean space.
... |
https://en.wikipedia.org/wiki/Beta%20oxidation | In biochemistry and metabolism, beta oxidation (also β-oxidation) is the catabolic process by which fatty acid molecules are broken down in the cytosol in prokaryotes and in the mitochondria in eukaryotes to generate acetyl-CoA, which enters the citric acid cycle, and NADH and FADH2, which are co-enzymes used in the el... |
https://en.wikipedia.org/wiki/Daniel%20Pedoe | Dan Pedoe (29 October 1910, London – 27 October 1998, St Paul, Minnesota, USA) was an English-born mathematician and geometer with a career spanning more than sixty years. In the course of his life he wrote approximately fifty research and expository papers in geometry. He is also the author of various core books on ma... |
https://en.wikipedia.org/wiki/Rob%20Crow | Robertdale Rulon Crow Jr. (born February 21, 1971) is an American singer and musician from San Diego, California, known for his involvement with the bands Pinback, Heavy Vegetable, Physics, Optiganally Yours, Goblin Cock, and Thingy. He has also led the bands Advertising, Alpha Males, Altron Tube, Byre, Cthugha, Fantas... |
https://en.wikipedia.org/wiki/Overvoltage | In electrical engineering, overvoltage is the raising of voltage beyond the design limit of a circuit or circuit element. The conditions may be hazardous. Depending on its duration, the overvoltage event can be transient—a voltage spike—or permanent, leading to a power surge.
Explanation
Electronic and electrical d... |
https://en.wikipedia.org/wiki/John%20G.%20Cramer | John Gleason Cramer, Jr. (born October 24, 1934) is a professor emeritus of physics at the University of Washington in Seattle, Washington, known for his development of the transactional interpretation of quantum mechanics. He has been an active participant with the STAR experiment at the Relativistic Heavy Ion Collide... |
https://en.wikipedia.org/wiki/DJ%20Ram | DJ Ram is a pseudonym of Roman Olegovich Pen'kov (), born on November 17, 1976, in Kirovohrad. In 1994 he finished secondary school N10 in the physico-mathematical class in Kursk and entered university in the same year, specializing in "physics and information theory". He finished university in 2000.
DJ Ram is a well... |
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20Kentucky | The following is a list of colleges and universities in the Commonwealth of Kentucky. Kentucky also has two early entrance to college programs, for academically gifted high school juniors and seniors, that allows the students to take college credits while finishing high school. They are the Craft Academy for Excellence... |
https://en.wikipedia.org/wiki/List%20of%20battery%20sizes | This is a list of the sizes, shapes, and general characteristics of some common primary and secondary battery types in household, automotive and light industrial use.
The complete nomenclature for a battery specifies size, chemistry, terminal arrangement, and special characteristics. The same physically interchangeabl... |
https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin%20constant | In mathematics, the Glaisher–Kinkelin constant or Glaisher's constant, typically denoted , is a mathematical constant, related to the -function and the Barnes -function. The constant appears in a number of sums and integrals, especially those involving gamma functions and zeta functions. It is named after mathematicia... |
https://en.wikipedia.org/wiki/Ernst%20Gottfried%20Fischer | Ernst Gottfried Fischer (17 July 1754 – 27 January 1831) was a German chemist. He was born in Hoheneiche near Saalfeld. After studying theology and mathematics at the University of Halle, he was a teacher in Berlin before becoming Professor of Physics in 1810. He translated Claude Berthollet's publication Recherches ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.