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https://en.wikipedia.org/wiki/Computer%20mathematics | Computer mathematics may refer to:
Automated theorem proving, the proving of mathematical theorems by a computer program
Symbolic computation, the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects
Computational science, constructing numerical s... |
https://en.wikipedia.org/wiki/Abbo%20of%20Fleury | Abbo or Abbon of Fleury (; – 13 November 1004), also known as Saint Abbo or Abbon, was a monk and abbot of Fleury Abbey in present-day Saint-Benoît-sur-Loire near Orléans, France.
Life
Abbo was born near Orléans and brought up in the Benedictine abbey of Fleury. He was educated at Paris and Reims, devoting himself t... |
https://en.wikipedia.org/wiki/Outline%20of%20neuroscience | The following outline is provided as an overview of and topical guide to neuroscience:
Neuroscience is the scientific study of the structure and function of the nervous system. It encompasses the branch of biology that deals with the anatomy, biochemistry, molecular biology, and physiology of neurons and neural circui... |
https://en.wikipedia.org/wiki/QRP | QRP may refer to:
QRP operation in amateur radio, low-power transmitting
Queen retinue pheromone, a type of honey bee pheromones
Queens Road Peckham railway station, National Rail code
Quadratic residuosity problem in mathematics |
https://en.wikipedia.org/wiki/Moment%20%28physics%29 | In physics, a moment is a mathematical expression involving the product of a distance and physical quantity. Moments are usually defined with respect to a fixed reference point and refer to physical quantities located some distance from the reference point. In this way, the moment accounts for the quantity's location o... |
https://en.wikipedia.org/wiki/Daniel%20Kriegman | Daniel Kriegman is an American psychologist and writer whose work focuses on the interface between psychoanalysis and evolutionary biology. He was a faculty member at the Massachusetts Institute for Psychoanalysis, a founder of the Psychoanalytic Couple and Family Institute of New England, and a creative consultant for... |
https://en.wikipedia.org/wiki/Mathematics%20and%20architecture | Mathematics and architecture are related, since, as with other arts, architects use mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building; from the Pythagoreans of the sixth century BC onwards, to create forms con... |
https://en.wikipedia.org/wiki/Membrane%20paradigm | In black hole theory, the black hole membrane paradigm is a simplified model, useful for visualising and calculating the effects predicted by quantum mechanics for the exterior physics of black holes, without using quantum-mechanical principles or calculations. It models a black hole as a thin, classically radiating su... |
https://en.wikipedia.org/wiki/TZero | TZero may refer to:
AC Propulsion tzero, automobile
T Zero, a collection of stories by Italo Calvino
t0, a symbol used in mathematics referring to the starting point or the beginning of time within a system |
https://en.wikipedia.org/wiki/Pattern%20matching | In computer science, pattern matching is the act of checking a given sequence of tokens for the presence of the constituents of some pattern. In contrast to pattern recognition, the match usually has to be exact: "either it will or will not be a match." The patterns generally have the form of either sequences or tree... |
https://en.wikipedia.org/wiki/Type%20inference | Type inference refers to the automatic detection of the type of an expression in a formal language. These include programming languages and mathematical type systems, but also natural languages in some branches of computer science and linguistics.
Nontechnical explanation
Types in a most general view can be associate... |
https://en.wikipedia.org/wiki/Type%20signature | In computer science, a type signature or type annotation defines the inputs and outputs for a function, subroutine or method. A type signature includes the number, types, and order of the arguments contained by a function. A type signature is typically used during overload resolution for choosing the correct definition... |
https://en.wikipedia.org/wiki/Fredholm%20operator | In mathematics, Fredholm operators are certain operators that arise in the Fredholm theory of integral equations. They are named in honour of Erik Ivar Fredholm. By definition, a Fredholm operator is a bounded linear operator T : X → Y between two Banach spaces with finite-dimensional kernel and finite-dimensional (al... |
https://en.wikipedia.org/wiki/Texas%20Academy%20of%20Mathematics%20and%20Science | The Texas Academy of Mathematics and Science (TAMS) is a two-year residential early entrance college program serving approximately 375 high school juniors and seniors at the University of North Texas. Students are admitted from every region of the state through a selective admissions process. TAMS is a member of the Na... |
https://en.wikipedia.org/wiki/Evergreen%20Game | The Evergreen Game is a famous chess game won by Adolf Anderssen against Jean Dufresne in 1852.
This was probably an . At the time, there was no formal title of "World Champion", but the German mathematics professor Anderssen was widely considered the best player in the world after winning the first major internationa... |
https://en.wikipedia.org/wiki/Babinet%27s%20principle | In physics, Babinet's principle states that the diffraction pattern from an opaque body is identical to that from a hole of the same size and shape except for the overall forward beam intensity. It was formulated in the 1800s by French physicist Jacques Babinet.
A quantum version of Babinet's principle has been deriv... |
https://en.wikipedia.org/wiki/Read-copy-update | In computer science, read-copy-update (RCU) is a synchronization mechanism that avoids the use of lock primitives while multiple threads concurrently read and update elements that are linked through pointers and that belong to shared data structures (e.g., linked lists, trees, hash tables).
Whenever a thread is insert... |
https://en.wikipedia.org/wiki/Unit%20square | In mathematics, a unit square is a square whose sides have length . Often, the unit square refers specifically to the square in the Cartesian plane with corners at the four points ), , , and .
Cartesian coordinates
In a Cartesian coordinate system with coordinates , a unit square is defined as a square consisting of ... |
https://en.wikipedia.org/wiki/Dining%20philosophers%20problem | In computer science, the dining philosophers problem is an example problem often used in concurrent algorithm design to illustrate synchronization issues and techniques for resolving them.
It was originally formulated in 1965 by Edsger Dijkstra as a student exam exercise, presented in terms of computers competing for ... |
https://en.wikipedia.org/wiki/Baker%E2%80%93Campbell%E2%80%93Hausdorff%20formula | In mathematics, the Baker–Campbell–Hausdorff formula is the solution for to the equation
for possibly noncommutative and in the Lie algebra of a Lie group. There are various ways of writing the formula, but all ultimately yield an expression for in Lie algebraic terms, that is, as a formal series (not necessarily ... |
https://en.wikipedia.org/wiki/Product | Product may refer to:
Business
Product (business), an item that can be offered to a market to satisfy the desire or need of a customer.
Product (project management), a deliverable or set of deliverables that contribute to a business solution
Mathematics
Product (mathematics)
Algebra
Direct product
Set theory
C... |
https://en.wikipedia.org/wiki/State%20%28computer%20science%29 | In information technology and computer science, a system is described as stateful if it is designed to remember preceding events or user interactions; the remembered information is called the state of the system.
The set of states a system can occupy is known as its state space. In a discrete system, the state space i... |
https://en.wikipedia.org/wiki/Milton%20Diamond | Milton Diamond (born March 6, 1934) is an American Professor Emeritus of anatomy and reproductive biology at the University of Hawaiʻi at Mānoa. After a career in the study of human sexuality, Diamond retired from the university in December 2009 but continued with his research and writing until retiring fully in 2018.
... |
https://en.wikipedia.org/wiki/House%20dust%20mite | House dust mites (HDM, or simply dust mites) are various species of acariform mites belonging to the family Pyroglyphidae that are found in association with dust in dwellings. They are known for causing allergies.
Biology
Species
The currently known species are:
Dermatophagoides farinae (American house dust mite)
D... |
https://en.wikipedia.org/wiki/Limit%20of%20a%20function | Although the function is not defined at zero, as becomes closer and closer to zero, becomes arbitrarily close to 1. In other words, the limit of as approaches zero, equals 1.
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a p... |
https://en.wikipedia.org/wiki/Limit%20of%20a%20sequence | As the positive integer becomes larger and larger, the value becomes arbitrarily close to . We say that "the limit of the sequence equals ."
In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). If such a limit exists, the seque... |
https://en.wikipedia.org/wiki/Fractal%20dimension | In mathematics, a fractal dimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern changes with the scale at which it is measured.
It is also a measure of the space-filling capacity of a pattern, and it tells how a fractal scale... |
https://en.wikipedia.org/wiki/Ole%20Worm | Ole Worm (13 May 1588 – 31 August 1654), who often went by the Latinized form of his name Olaus Wormius, was a Danish physician, natural historian and antiquary. He was a professor at the University of Copenhagen where he taught Greek, Latin, physics and medicine.
Biography
Worm was the son of Willum Worm, who served ... |
https://en.wikipedia.org/wiki/Modular%20form | In mathematics, a modular form is a (complex) analytic function on the upper half-plane, , that satisfies:
a kind of functional equation with respect to the group action of the modular group,
and a growth condition.
The theory of modular forms therefore belongs to complex analysis. The main importance of the theor... |
https://en.wikipedia.org/wiki/Extraction | Extraction may refer to:
Science and technology
Biology and medicine
Comedo extraction, a method of acne treatment
Dental extraction, the surgical removal of a tooth from the mouth
Computing and information science
Data extraction, the process of retrieving data out of data sources
Information extraction
Knowle... |
https://en.wikipedia.org/wiki/Mixture | In chemistry, a mixture is a material made up of two or more different chemical substances which are not chemically bonded. A mixture is the physical combination of two or more substances in which the identities are retained and are mixed in the form of solutions, suspensions and colloids.
Mixtures are one product of ... |
https://en.wikipedia.org/wiki/Precipitation%20%28chemistry%29 | In an aqueous solution, precipitation is the process of transforming a dissolved substance into an insoluble solid from a supersaturated solution. The solid formed is called the precipitate. In case of an inorganic chemical reaction leading to precipitation, the chemical reagent causing the solid to form is called the ... |
https://en.wikipedia.org/wiki/KOH | Koh or KOH may refer to:
Chemistry
Potassium hydroxide, formula "KOH"
KOH test, a procedure in which potassium hydroxide is used to dissolve skin and reveal fungal cells under the microscope
People
Koh (surname), a surname with various origins, including:
Xǔ (surname), a Chinese surname sometimes spelled as Koh... |
https://en.wikipedia.org/wiki/Allan%20Ramsay | Allan Ramsay may refer to:
Allan Ramsay (poet) or Allan Ramsay the Elder (1686–1758), Scottish poet
Allan Ramsay (artist) or Allan Ramsay the Younger (1713–1784), Scottish portrait painter
Allan Ramsay (diplomat) (1937–2022), British diplomat
Allan M. Ramsay (born 1953), professor of computer science
Allan Ramsay (port... |
https://en.wikipedia.org/wiki/255%20%28number%29 | 255 (two hundred [and] fifty-five) is the natural number following 254 and preceding 256.
In mathematics
Its factorization makes it a sphenic number. Since 255 = 28 – 1, it is a Mersenne number (though not a pernicious one), and the fourth such number not to be a prime number. It is a perfect totient number, the small... |
https://en.wikipedia.org/wiki/Arne%20Beurling | Arne Carl-August Beurling (3 February 1905 – 20 November 1986) was a Swedish mathematician and professor of mathematics at Uppsala University (1937–1954) and later at the Institute for Advanced Study in Princeton, New Jersey. Beurling worked extensively in harmonic analysis, complex analysis and potential theory. The ... |
https://en.wikipedia.org/wiki/Thomas%20Abbt | Thomas Abbt (; 25 November 1738 – 3 November 1766) was a German mathematician and writer.
Biography
Born in Ulm as the son of a wig-maker, Abbt visited a secondary school in Ulm, then moved in 1756 to study theology, philosophy and mathematics at the University of Halle, receiving a Magister degree in 1758. In 1760 h... |
https://en.wikipedia.org/wiki/Carnegie%20Mellon%20School%20of%20Computer%20Science | The School of Computer Science (SCS) at Carnegie Mellon University in Pittsburgh, Pennsylvania, US is a school for computer science established in 1988. It has been consistently ranked among the top computer science programs over the decades. As of 2022 U.S. News & World Report ranks the graduate program as tied for s... |
https://en.wikipedia.org/wiki/Graft | Graft or grafting may refer to:
Graft (politics), a form of political corruption
Graft, Netherlands, a village in the municipality of Graft-De Rijp
Science and technology
Graft (surgery), a surgical procedure
Grafting, the joining of plant tissues
Grafting (chemistry), chemical modification of surface
Grafting (decis... |
https://en.wikipedia.org/wiki/Benzophenone | Benzophenone is the organic compound with the formula (C6H5)2CO, generally abbreviated Ph2CO. It is a white solid that is soluble in organic solvents. Benzophenone is a widely used building block in organic chemistry, being the parent diarylketone.
Uses
Benzophenone can be used as a photo initiator in UV(Ultra-violet)... |
https://en.wikipedia.org/wiki/Manfred%20Eigen | Manfred Eigen (; 9 May 1927 – 6 February 2019) was a German biophysical chemist who won the 1967 Nobel Prize in Chemistry for work on measuring fast chemical reactions.
Eigen's research helped solve major problems in physical chemistry and aided in the understanding of chemical processes that occur in living organisms... |
https://en.wikipedia.org/wiki/Closed%20timelike%20curve | In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime, that is "closed", returning to its starting point. This possibility was first discovered by Willem Jacob van Stockum in 1937 and later confirmed by Kurt Gödel in 1949, who discovered a s... |
https://en.wikipedia.org/wiki/Number%20line | In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
The integers are often shown as specially-marked points evenly spaced on... |
https://en.wikipedia.org/wiki/Inverse%20function%20theorem | In mathematics, specifically differential calculus, the inverse function theorem gives a sufficient condition for a function to be invertible in a neighborhood of a point in its domain: namely, that its derivative is continuous and non-zero at the point. The theorem also gives a formula for the derivative of the invers... |
https://en.wikipedia.org/wiki/Maprotiline | Maprotiline, sold under the brand name Ludiomil among others, is a tetracyclic antidepressant (TeCA) that is used in the treatment of depression. It may alternatively be classified as a tricyclic antidepressant (TCA), specifically a secondary amine. In terms of its chemistry and pharmacology, maprotiline is closely rel... |
https://en.wikipedia.org/wiki/Allen%20Newell | Allen Newell (March 19, 1927 – July 19, 1992) was an American researcher in computer science and cognitive psychology at the RAND Corporation and at Carnegie Mellon University's School of Computer Science, Tepper School of Business, and Department of Psychology. He contributed to the Information Processing Language (19... |
https://en.wikipedia.org/wiki/Alan%20Newell | Alan Newell may refer to:
Alan C. Newell (born 1941), Irish/American mathematician
Alan Newell (English computer scientist), professor at Dundee University
See also
Allen Newell (1927–1992), researcher in computer science and cognitive psychology |
https://en.wikipedia.org/wiki/Transcendental%20extension | In mathematics, a transcendental extension is a field extension such that there exists an element in the field that is transcendental over the field ; that is, an element that is not a root of any univariate polynomial with coefficients in . In other words, a transcendental extension is a field extension that is not ... |
https://en.wikipedia.org/wiki/Shin%27ichir%C5%8D%20Tomonaga | , usually cited as Sin-Itiro Tomonaga in English, was a Japanese physicist, influential in the development of quantum electrodynamics, work for which he was jointly awarded the Nobel Prize in Physics in 1965 along with Richard Feynman and Julian Schwinger.
Biography
Tomonaga was born in Tokyo in 1906. He was the secon... |
https://en.wikipedia.org/wiki/Floyd%20Zaiger | Chris "Floyd" Zaiger (April 26, 1926 – June 2, 2020) was a fruit breeder particularly known for hybrid development of stone fruit and numerous plant patents. Zaiger founded Zaiger's Genetics, a fruit-breeding business in Modesto, California, which is now an international business selling cultivars and hybrids. Zaiger d... |
https://en.wikipedia.org/wiki/Earth%20%28disambiguation%29 | Earth is the third planet from the Sun.
Earth may also refer to:
Elements
Earth (classical element), one of the four Greek classical elements
Earth (Wu Xing), one of the Wu Xing (elements in traditional Chinese philosophy)
Science
Earth (historical chemistry), a class of elements or compounds
Earth (electricity) o... |
https://en.wikipedia.org/wiki/GPR | GPR may refer to:
Science and technology
Gaussian process regression, an interpolation method in statistics
General-purpose register of a microprocessor
G-protein coupled receptor
Ground-penetrating radar
Ground potential rise, in electrical engineering
Other
General practice residency, in dentistry in the Un... |
https://en.wikipedia.org/wiki/Friedrich%20Accum | Friedrich Christian Accum or Frederick Accum (29 March 1769 – 28 June 1838) was a German chemist, whose most important achievements included advances in the field of gas lighting, efforts to keep processed foods free from dangerous additives, and the promotion of interest in the science of chemistry to the general popu... |
https://en.wikipedia.org/wiki/Upper%20half-plane | In mathematics, the upper half-plane, , is the set of points in the Cartesian plane with
. The lower half-plane is defined similarly, by requiring that be negative instead. Each is an example of two-dimensional half-space.
Affine geometry
The affine transformations of the upper half-plane include
shifts , , and
d... |
https://en.wikipedia.org/wiki/Rog-O-Matic | Rog-O-Matic is a bot developed in 1981 to play and win the video game Rogue, by four graduate students in the Computer Science Department at Carnegie-Mellon University in Pittsburgh: Andrew Appel, Leonard Hamey, Guy Jacobson and Michael Loren Mauldin.
Described as a "belligerent expert system", Rog-O-Matic performs w... |
https://en.wikipedia.org/wiki/Chris%20Faust | Christopher C. Faust (born 1955 in Fort Riley, Kansas) is a landscape photographer in St. Paul, Minnesota. He holds a degree in biology from St. Cloud State University and an MS in educational media from St. Cloud State University.
He is best known for his panoramic photographs of landscapes. From 1990 to 1996 he crea... |
https://en.wikipedia.org/wiki/Jagadish%20Chandra%20Bose | Sir Jagadish Chandra Bose
(;, ; 30 November 1858 – 23 November 1937) was a polymath with interests in biology, physics, botany and writing science fiction. He was a pioneer in the investigation of radio microwave optics, made significant contributions to botany, and was a major force behind the expansion of experiment... |
https://en.wikipedia.org/wiki/Uniformization%20theorem | In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere. The theorem is a generalization of the Riemann mapping theorem from simply connected open subsets of the p... |
https://en.wikipedia.org/wiki/Global%20field | In mathematics, a global field is one of two types of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields:
Algebraic number field: A finite extension of
Global function field: The function field of an algebraic curve over a finite field, equivalently, a... |
https://en.wikipedia.org/wiki/DBA | DBA or dba may refer to:
Academic
Doctor of Business Administration, a research-based doctorate degree
Science and technology
Biology and medicine
Diamond–Blackfan anemia, a congenital medical condition
Dilute, Brown and non-Agouti, a strain of laboratory mice developed by C. C. Little
Computing and telecommunic... |
https://en.wikipedia.org/wiki/CFR | CFR may refer to:
Biology
23S rRNA (adenine2503-C2,C8)-dimethyltransferase, an enzyme
23S rRNA (adenine2503-C2)-methyltransferase, an enzyme
Organizations
Canadian Finals Rodeo
Centre for Foreign Relations, Tanzania
CFR Cluj, Romanian football club
CFFR, a Canadian radio station once branded as "66 CFR"
Ches... |
https://en.wikipedia.org/wiki/Daisy%20chain | Daisy chain may refer to:
Daisy chain, a garland created from daisy flowers
Daisy chain (climbing), a type of strap
Daisy chain (electrical engineering), a wiring scheme
Daisy chain (fishing), a type of fishing lure
Daisy chain (knot), or chain sinnet
Daisy chain (network topology), for connecting computers
Dai... |
https://en.wikipedia.org/wiki/Biometrics | Biometrics are body measurements and calculations related to human characteristics. Biometric authentication (or realistic authentication) is used in computer science as a form of identification and access control. It is also used to identify individuals in groups that are under surveillance.
Biometric identifiers are... |
https://en.wikipedia.org/wiki/EOF | EOF or Eof may refer to:
Science and technology
Electro-osmotic flow, the motion of liquid induced by an applied potential
Empirical orthogonal functions, in statistics and signal processing
Ethyl orthoformate, an organic compound
Computing
End-of-file, a condition where no more data can be read from a data sourc... |
https://en.wikipedia.org/wiki/Communications%20of%20the%20ACM | Communications of the ACM is the monthly journal of the Association for Computing Machinery (ACM). It was established in 1958, with Saul Rosen as its first managing editor. It is sent to all ACM members.
Articles are intended for readers with backgrounds in all areas of computer science and information systems. The foc... |
https://en.wikipedia.org/wiki/Alkyl%20group | In organic chemistry, an alkyl group is an alkane missing one hydrogen.
The term alkyl is intentionally unspecific to include many possible substitutions.
An acyclic alkyl has the general formula of . A cycloalkyl group is derived from a cycloalkane by removal of a hydrogen atom from a ring and has the general formula... |
https://en.wikipedia.org/wiki/Open-chain%20compound | In chemistry, an open-chain compound (also spelled as open chain compound) or acyclic compound (Greek prefix "α", without and "κύκλος", cycle) is a compound with a linear structure, rather than a cyclic one.
An open-chain compound having no side groups is called a straight-chain compound (also spelled as straight chain... |
https://en.wikipedia.org/wiki/Acyclic | Acyclic may refer to:
In chemistry, a compound which is an open-chain compound, e.g. alkanes and acyclic aliphatic compounds
In mathematics:
A graph without a cycle, especially
A directed acyclic graph
An acyclic complex is a chain complex all of whose homology groups are zero
In economics, an economic indicator ... |
https://en.wikipedia.org/wiki/Pekka%20Himanen | Pekka Himanen (born 19 October 1973) is a Finnish philosopher.
Professional career
Pekka Himanen studied philosophy (and computer science as a minor) at the University of Helsinki, under professor Esa Saarinen. In 1994, with his thesis on the philosophy of religion, The challenge of Bertrand Russell, he received his ... |
https://en.wikipedia.org/wiki/P-adic%20analysis | In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.
The theory of complex-valued numerical functions on the p-adic numbers is part of the theory of locally compact groups. The usual meaning taken for p-adic analysis is the theory of p-a... |
https://en.wikipedia.org/wiki/Renormalization%20group | In theoretical physics, the term renormalization group (RG) refers to a formal apparatus that allows systematic investigation of the changes of a physical system as viewed at different scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy ... |
https://en.wikipedia.org/wiki/Lattice%20model%20%28physics%29 | In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of condensed matter physics, where the atoms of a crystal automatically form a lat... |
https://en.wikipedia.org/wiki/Sadleirian%20Professor%20of%20Pure%20Mathematics | The Sadleirian Professorship of Pure Mathematics, originally spelled in the statutes and for the first two professors as Sadlerian, is a professorship in pure mathematics within the DPMMS at the University of Cambridge. It was founded on a bequest from Lady Mary Sadleir for lectureships "for the full and clear explicat... |
https://en.wikipedia.org/wiki/Fatou%27s%20lemma | In mathematics, Fatou's lemma establishes an inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after Pierre Fatou.
Fatou's lemma can be used to prove the Fatou–Lebesgue theorem and Lebesgue's dominated c... |
https://en.wikipedia.org/wiki/PPV | PPV, ppv or pPv may refer to:
Technology
Pay-per-view on cable or satellite television
People Powered Vehicle, a human-powered vehicle from 1970
Police Pursuit Vehicles, the most common police vehicles in the United States and Canada
Science and mathematics
Pars plana vitrectomy, a common ocular surgery procedure... |
https://en.wikipedia.org/wiki/Glossary%20of%20field%20theory | Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.)
Definition of a field
A field is a commutative ring in which and every nonzero element has a multiplicative inverse. In a... |
https://en.wikipedia.org/wiki/DCC | DCC may refer to:
Biology
Deleted in Colorectal Cancer gene, and the receptor product of the same name
Dosage compensation complex, a protein complex involved in genetic dosage compensation
Business
DC Comics
Day Chocolate Company
Day Count Convention, financial term
DCC Plc, formerly Development Capital Corporation... |
https://en.wikipedia.org/wiki/Introduction%20to%20gauge%20theory | A gauge theory is a type of theory in physics. The word gauge means a measurement, a thickness, an in-between distance (as in railroad tracks), or a resulting number of units per certain parameter (a number of loops in an inch of fabric or a number of lead balls in a pound of ammunition). Modern theories describe physi... |
https://en.wikipedia.org/wiki/Operator%20%28physics%29 | In physics, an operator is a function over a space of physical states onto another space of physical states. The simplest example of the utility of operators is the study of symmetry (which makes the concept of a group useful in this context). Because of this, they are useful tools in classical mechanics. Operators are... |
https://en.wikipedia.org/wiki/Carol%20Berg | Carol Berg (born 1948) is the author of fantasy novels, including the books from the Rai-Kirah series, Song of the Beast, the books from The Bridge of D'Arnath series, the Lighthouse novels, and Collegia Magica. She also writes the Chimera series under the pen name Cate Glass.
Berg holds a degree in mathematics from R... |
https://en.wikipedia.org/wiki/Seminorm | In mathematics, particularly in functional analysis, a seminorm is a vector space norm that need not be positive definite. Seminorms are intimately connected with convex sets: every seminorm is the Minkowski functional of some absorbing disk and, conversely, the Minkowski functional of any such set is a seminorm.
A t... |
https://en.wikipedia.org/wiki/Stevens%20Institute%20of%20Technology | Stevens Institute of Technology is a private research university in Hoboken, New Jersey. Founded in 1870, it is one of the oldest technological universities in the United States and was the first college in America solely dedicated to mechanical engineering. The 55-acre campus encompasses Castle Point, the highest poin... |
https://en.wikipedia.org/wiki/Sarvadaman%20Chowla | Sarvadaman D. S. Chowla (22 October 1907 – 10 December 1995) was an Indian American mathematician, specializing in number theory.
Early life
He was born in London, since his father, Gopal Chowla, a professor of mathematics in Lahore, was then studying in Cambridge. His family returned to India, where he received his m... |
https://en.wikipedia.org/wiki/Partial | Partial may refer to:
Mathematics
Partial derivative, derivative with respect to one of several variables of a function, with the other variables held constant
∂, a symbol that can denote a partial derivative, sometimes pronounced "partial dee"
Partial differential equation, a differential equation that contains unkn... |
https://en.wikipedia.org/wiki/Topologist%27s%20sine%20curve | In the branch of mathematics known as topology, the topologist's sine curve or Warsaw sine curve is a topological space with several interesting properties that make it an important textbook example.
It can be defined as the graph of the function sin(1/x) on the half-open interval (0, 1], together with the origin, und... |
https://en.wikipedia.org/wiki/Combinatorial%20game%20theory | Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a position that the players take turns changing in defined ways or moves to achieve a defined winning cond... |
https://en.wikipedia.org/wiki/Transitive%20closure | In mathematics, the transitive closure of a homogeneous binary relation on a set is the smallest relation on that contains and is transitive. For finite sets, "smallest" can be taken in its usual sense, of having the fewest related pairs; for infinite sets is the unique minimal transitive superset of .
For examp... |
https://en.wikipedia.org/wiki/One-to-one | One-to-one or one to one may refer to:
Mathematics and communication
One-to-one function, also called an injective function
One-to-one correspondence, also called a bijective function
One-to-one (communication), the act of an individual communicating with another
One-to-one (data model), a relationship in a data mode... |
https://en.wikipedia.org/wiki/Cube%20root | In mathematics, a cube root of a number is a number such that . All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of , denoted , is , because , while the other c... |
https://en.wikipedia.org/wiki/Microscopic%20scale | The microscopic scale () is the scale of objects and events smaller than those that can easily be seen by the naked eye, requiring a lens or microscope to see them clearly. In physics, the microscopic scale is sometimes regarded as the scale between the macroscopic scale and the quantum scale. Microscopic units and mea... |
https://en.wikipedia.org/wiki/Representation%20of%20a%20Lie%20group | In mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a smooth homomorphism of the group into the group of invertible operators on the vector space. Representations play an important role in the study of continuous ... |
https://en.wikipedia.org/wiki/Unitary%20representation | In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for every g ∈ G. The general theory is well-developed in the case that G is a locally compact (Hausdorff) topological group and the representations are strongly conti... |
https://en.wikipedia.org/wiki/Simple%20Lie%20group | In mathematics, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups. The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces.
Together with the commutative Lie group of the real numbers, , and ... |
https://en.wikipedia.org/wiki/Symplectic%20vector%20space | In mathematics, a symplectic vector space is a vector space V over a field F (for example the real numbers R) equipped with a symplectic bilinear form.
A symplectic bilinear form is a mapping that is
Bilinear Linear in each argument separately;
Alternating holds for all ; and
Non-degenerate for all implies that... |
https://en.wikipedia.org/wiki/G2%20%28mathematics%29 | {{DISPLAYTITLE:G2 (mathematics)}}
In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras as well as some algebraic groups. They are the smallest of the five exceptional simple Lie groups. G2 has rank 2 and dimension 14. It has two fund... |
https://en.wikipedia.org/wiki/F4%20%28mathematics%29 | {{DISPLAYTITLE:F4 (mathematics)}}
In mathematics, F4 is the name of a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is the trivial group. Its fundamental representation is... |
https://en.wikipedia.org/wiki/PRS | PRS or prs may refer to:
Science and technology
Peripheral Reflex System, an implementation of autonomous peripheral operations in microcontrollers
Personal response system, in audience response
Phenotypic response surfaces, in medicine
Pierre Robin syndrome, a congenital condition of facial abnormalities
Polygen... |
https://en.wikipedia.org/wiki/Patrick%20Michaels | Patrick J. Michaels (February 15, 1950 – July 15, 2022) was an American agricultural climatologist. Michaels was a senior fellow in environmental studies at the Cato Institute until 2019. Until 2007, he was research professor of environmental sciences at the University of Virginia, where he had worked from 1980.
Start... |
https://en.wikipedia.org/wiki/Character%20%28mathematics%29 | In mathematics, a character is (most commonly) a special kind of function from a group to a field (such as the complex numbers). There are at least two distinct, but overlapping meanings. Other uses of the word "character" are almost always qualified.
Multiplicative character
A multiplicative character (or linear cha... |
https://en.wikipedia.org/wiki/%2A-algebra | In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conj... |
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