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https://en.wikipedia.org/wiki/Shou-Wu%20Zhang | Shou-Wu Zhang (; born October 9, 1962) is a Chinese-American mathematician known for his work in number theory and arithmetic geometry. He is currently a Professor of Mathematics at Princeton University.
Biography
Early life
Shou-Wu Zhang was born in Hexian, Ma'anshan, Anhui, China on October 9, 1962. Zhang grew up i... |
https://en.wikipedia.org/wiki/Taubes | Taubes is a surname. Notable people with the surname include:
Clifford Taubes (born 1954), professor of mathematics at Harvard
Taubes's Gromov invariant, mathematical concept named after Clifford Taubes
Jacob Taubes (1923-1987), religion sociologist, philosopher and studied Judaism
Gary Taubes, science journalist ... |
https://en.wikipedia.org/wiki/Productivism%20%28art%29 | Productivism is an early twentieth-century art movement that is characterized by its spare geometry, limited color palette, and Cubist and Futurist influences. Aesthetically, it also looks similar to work by Kazimir Malevich and the Suprematists.
But where Constructivism sought to reflect modern industrial society and... |
https://en.wikipedia.org/wiki/Scalar%20%28mathematics%29 | A scalar is an element of a field which is used to define a vector space.
In linear algebra, real numbers or generally elements of a field are called scalars and relate to vectors in an associated vector space through the operation of scalar multiplication (defined in the vector space), in which a vector can be multipl... |
https://en.wikipedia.org/wiki/Richard%20McKelvey | Richard Drummond McKelvey (April 27, 1944 – April 22, 2002) was a political scientist, specializing in mathematical theories of voting. He received his BS in Mathematics from Oberlin College, MA in mathematics from Washington University in St. Louis, and PhD in political science from University of Rochester. He was a... |
https://en.wikipedia.org/wiki/Formula%20%28disambiguation%29 | A formula, in mathematics, is an entity constructed using the symbols and formation rules of a given logical language.
Formula may also refer to:
A concept in the theory of oral-formulaic composition, related to oral poetry
A type of ritual in Roman law
A defunct video game label of Lost Boys Games, a defunct Dutc... |
https://en.wikipedia.org/wiki/Concrete%20Mathematics | Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, first published in 1989, is a textbook that is widely used in computer-science departments as a substantive but light-hearted treatment of the analysis of algorithms.
Contents and history
The book provides mat... |
https://en.wikipedia.org/wiki/Robert%20Calderbank | Robert Calderbank (born 28 December 1954) is a professor of Computer Science, Electrical Engineering, and Mathematics and director of the Information Initiative at Duke University. He received a BSc from Warwick University in 1975, an MSc from Oxford in 1976, and a PhD from Caltech in 1980, all in mathematics. He joi... |
https://en.wikipedia.org/wiki/Francis%20Sowerby%20Macaulay | Francis Sowerby Macaulay FRS (11 February 1862, Witney – 9 February 1937, Cambridge) was an English mathematician who made significant contributions to algebraic geometry. He is known for his 1916 book The Algebraic Theory of Modular Systems (an old term for ideals), which greatly influenced the later course of commuta... |
https://en.wikipedia.org/wiki/Relay%20channel | In information theory, a relay channel is a probability model of the communication between a sender and a receiver aided by one or more intermediate relay nodes.
General discrete-time memoryless relay channel
A discrete memoryless single-relay channel can be modelled as four finite sets, and , and a conditional pro... |
https://en.wikipedia.org/wiki/Pronormal%20subgroup | In mathematics, especially in the field of group theory, a pronormal subgroup is a subgroup that is embedded in a nice way. Pronormality is a simultaneous generalization of both normal subgroups and abnormal subgroups such as Sylow subgroups, .
A subgroup is pronormal if each of its conjugates is conjugate to it alre... |
https://en.wikipedia.org/wiki/Paranormal%20subgroup | In mathematics, in the field of group theory, a paranormal subgroup is a subgroup such that the subgroup generated by it and any conjugate of it, is also generated by it and a conjugate of it within that subgroup.
In symbols, is paranormal in if given any in , the subgroup generated by and is also equal to . Equ... |
https://en.wikipedia.org/wiki/Abnormal%20subgroup | In mathematics, specifically group theory, an abnormal subgroup is a subgroup H of a group G such that for all x in G, x lies in the subgroup generated by H and Hx, where Hx denotes the conjugate subgroup xHx−1.
Here are some facts relating abnormality to other subgroup properties:
Every abnormal subgroup is a self-... |
https://en.wikipedia.org/wiki/Contranormal%20subgroup | In mathematics, in the field of group theory, a contranormal subgroup is a subgroup whose
normal closure in the group is the whole group. Clearly, a contranormal subgroup can be normal only if it is the whole group.
Some facts:
Every subgroup of a finite group is a contranormal subgroup of a subnormal subgroup. In g... |
https://en.wikipedia.org/wiki/C-normal%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is called c-normal if there is a normal subgroup of such that and the intersection of and lies inside the normal core of .
For a weakly c-normal subgroup, we only require to be subnormal.
Here are some facts about c-normal subgroups:
Every n... |
https://en.wikipedia.org/wiki/Malnormal%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is termed malnormal if for any in but not in , and intersect in the identity element.
Some facts about malnormality:
An intersection of malnormal subgroups is malnormal.
Malnormality is transitive, that is, a malnormal subgroup of a malnormal s... |
https://en.wikipedia.org/wiki/Business%20mathematics | Business mathematics are mathematics used by commercial enterprises to record and manage business operations. Commercial organizations use mathematics in accounting, inventory management, marketing, sales forecasting, and financial analysis.
Mathematics typically used in commerce includes elementary arithmetic, elem... |
https://en.wikipedia.org/wiki/Modular%20subgroup | In mathematics, in the field of group theory, a modular subgroup is a subgroup that is a modular element in the lattice of subgroups, where the meet operation is defined by the intersection and the join operation is defined by the subgroup generated by the union of subgroups.
By the modular property of groups, every ... |
https://en.wikipedia.org/wiki/T-group | T-group may refer to:
T-group (mathematics), a mathematical structure
T-group (social psychology), a group of people learning about human behaviour by interacting with each other |
https://en.wikipedia.org/wiki/Christian%20Gouri%C3%A9roux | Christian Gouriéroux (born 1949) is an econometrician who holds a Doctor of Philosophy in mathematics from the University of Rouen. He has the Professor exceptional level title from France. Gouriéroux is now a professor at University of Toronto and CREST, Paris [Center for
Research in Economics and Statistics].
Gouri... |
https://en.wikipedia.org/wiki/Bernard%20Carr | Bernard J. Carr is a British professor of mathematics and astronomy at Queen Mary University of London (QMUL).
His research interests include the early universe, dark matter, general relativity, primordial black holes, and the anthropic principle.
Education
He completed his BA in mathematics in 1972 at Trinity Colleg... |
https://en.wikipedia.org/wiki/ATR | ATR may refer to:
Medicine
Acute transfusion reaction
Ataxia telangiectasia and Rad3 related, a protein involved in DNA damage repair
Science and mathematics
Advanced Test Reactor, nuclear research reactor at the Idaho National Laboratory, US
Attenuated total reflectance in infrared spectroscopy
Advanced tongue ... |
https://en.wikipedia.org/wiki/Central%20Statistical%20Office%20%28United%20Kingdom%29 | The Central Statistical Office (CSO) was a British government department charged with the collection and publication of economic statistics for the United Kingdom. It preceded the Office for National Statistics.
Establishment of the CSO
During the Second World War, the Prime Minister, Winston Churchill directed the Ca... |
https://en.wikipedia.org/wiki/Tim%20Holt%20%28statistician%29 | David Holt CB (29 October 1943 – 15 November 2022) was a British statistician who was Professor Emeritus of Social Statistics at the University of Southampton. He had been the president of the Royal Statistical Society (2005–2007), the last director of the Central Statistical Office of the United Kingdom, and the firs... |
https://en.wikipedia.org/wiki/Tsallis%20statistics | The term Tsallis statistics usually refers to the collection of mathematical functions and associated probability distributions that were originated by Constantino Tsallis. Using that collection, it is possible to derive Tsallis distributions from the optimization of the Tsallis entropic form. A continuous real paramet... |
https://en.wikipedia.org/wiki/FIFA%20World%20Cup%20records%20and%20statistics | As of the 2022 FIFA World Cup, 80 national teams have competed at the finals of the FIFA World Cup. Brazil is the only team to have appeared in all 22 tournaments to date, with Germany having participated in 20, Italy and Argentina in 18 and Mexico in 17. Eight nations have won the tournament. The inaugural winners in ... |
https://en.wikipedia.org/wiki/Herzog%E2%80%93Sch%C3%B6nheim%20conjecture | In mathematics, the Herzog–Schönheim conjecture is a combinatorial problem in the area of group theory, posed by Marcel Herzog and Jochanan Schönheim in 1974.
Let be a group, and let
be a finite system of left cosets of subgroups
of .
Herzog and Schönheim conjectured
that if forms a partition of
with ,
then the... |
https://en.wikipedia.org/wiki/Vertex%20configuration | In geometry, a vertex configuration is a shorthand notation for representing the vertex figure of a polyhedron or tiling as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex configuration fully defines the polyhedron. (Chiral polyhedra exist in mirror-i... |
https://en.wikipedia.org/wiki/Kruskal%27s%20tree%20theorem | In mathematics, Kruskal's tree theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding.
History
The theorem was conjectured by Andrew Vázsonyi and proved by ; a short proof was given by . It has since become a prominent example in r... |
https://en.wikipedia.org/wiki/Fano%27s%20inequality | In information theory, Fano's inequality (also known as the Fano converse and the Fano lemma) relates the average information lost in a noisy channel to the probability of the categorization error. It was derived by Robert Fano in the early 1950s while teaching a Ph.D. seminar in information theory at MIT, and later r... |
https://en.wikipedia.org/wiki/Generalized%20additive%20model | In statistics, a generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth functions of some predictor variables, and interest focuses on inference about these smooth functions.
GAMs were originally developed by Trevor Hastie and Robert Tibsh... |
https://en.wikipedia.org/wiki/Joe%20Harris%20%28mathematician%29 | Joseph Daniel Harris (born August 17, 1951) is a mathematician at Harvard University working in the field of algebraic geometry. After earning an AB from Harvard College, where he took Math 55, he continued at Harvard to study for a PhD under Phillip Griffiths.
Work
During the 1980s, he was on the faculty of Brown Uni... |
https://en.wikipedia.org/wiki/LOF | LOF may refer to:
In acronyms and codes:
Lack-of-fit test (disambiguation), a concept in statistics
Libbey–Owens–Ford, an automotive and building glass manufacturer
Lloyd's Open Form: a type of salvage agreement offered by Lloyd's of London
Local Outlier Factor, an anomaly detection algorithm
Lok Fu station, Hong... |
https://en.wikipedia.org/wiki/Invader%20potential | Ecologically, invader potential is the qualitative and quantitative measures of a given invasive species probability to invade a given ecosystem. This is often seen through climate matching. There are many reasons why a species may invade a new area. The term invader potential may also be interchangeable with invasiven... |
https://en.wikipedia.org/wiki/Russian%20School%20of%20Mathematics | The Russian School of Mathematics (RSM) is an after-school program that provides mathematics education to children attending K–12 public and private schools. The school provides children with the opportunity to advance in mathematics beyond the traditional school curriculum. The founder of RSM is Inessa Rifkin and the ... |
https://en.wikipedia.org/wiki/Hierarchy%20%28mathematics%29 | In mathematics, a hierarchy is a set-theoretical object, consisting of a preorder defined on a set. This is often referred to as an ordered set, though that is an ambiguous term that many authors reserve for partially ordered sets or totally ordered sets. The term pre-ordered set is unambiguous, and is always synonymou... |
https://en.wikipedia.org/wiki/Seminormal%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is termed seminormal if there is a subgroup such that , and for any proper subgroup of , is a proper subgroup of .
This definition of seminormal subgroups is due to Xiang Ying Su.
Every normal subgroup is seminormal. For finite groups, every qua... |
https://en.wikipedia.org/wiki/Tube%20lemma | In mathematics, particularly topology, the tube lemma, also called Wallace's theorem, is a useful tool in order to prove that the finite product of compact spaces is compact.
Statement
The lemma uses the following terminology:
If and are topological spaces and is the product space, endowed with the product topo... |
https://en.wikipedia.org/wiki/Oblique%20wing | An oblique wing (also called a slewed wing) is a variable geometry wing concept. On an aircraft so equipped, the wing is designed to rotate on center pivot, so that one tip is swept forward while the opposite tip is swept aft. By changing its sweep angle in this way, drag can be reduced at high speed (with the wing swe... |
https://en.wikipedia.org/wiki/Ume%C3%A5%20School%20of%20Business | The Umeå School of Business, Economics and Statistics, USBE, or Handelshögskolan vid Umeå Universitet, is the business school of Umeå University in the north of Sweden, founded in 1989 "to strengthen education in research and business while contributing to the community". About 2000 students currently study at USBE. Th... |
https://en.wikipedia.org/wiki/MMCC | MMCC may refer to:
Margaret Morrison Carnegie College
Mid Michigan Community College
Multinational Medical Coordination Centre, to coordinate e
Mountfitchet Maths and Computing College, a former school in Stansted Mountfitchet, now Forest Hall School
Mobile Multi-Coloured Composite, 2D colour barcode
2200 in Roma... |
https://en.wikipedia.org/wiki/Unit-weighted%20regression | In statistics, unit-weighted regression is a simplified and robust version (Wainer & Thissen, 1976) of multiple regression analysis where only the intercept term is estimated. That is, it fits a model
where each of the are binary variables, perhaps multiplied with an arbitrary weight.
Contrast this with the more co... |
https://en.wikipedia.org/wiki/Kempe%20chain | In mathematics, a Kempe chain is a device used mainly in the study of the four colour theorem. Intuitively, it is a connected chain of points on a graph with alternating colors.
History
Kempe chains were first used by Alfred Kempe in his attempted proof of the four colour theorem. Even though his proof turned out to b... |
https://en.wikipedia.org/wiki/Vmstat | vmstat (virtual memory statistics) is a computer system monitoring tool that collects and displays summary information about operating system memory, processes, interrupts, paging and block I/O. Users of vmstat can specify a sampling interval which permits observing system activity in near-real time.
The vmstat tool i... |
https://en.wikipedia.org/wiki/Iostat | iostat (input/output statistics) is a computer system monitor tool used to collect and show operating system storage input and output statistics. It is often used to identify performance issues with storage devices, including local disks, or remote disks accessed over network file systems such as NFS. It can also be us... |
https://en.wikipedia.org/wiki/%21%21 | ‼ (a double exclamation mark, Unicode character U+203C) may refer to:
!! (chess), a brilliant move in chess annotation
Double factorial, an operator in mathematics
Retroflex click, a family of click consonants found only in Juu languages and in the Damin ritual jargon
Double-negation translation, !!p = p.
See als... |
https://en.wikipedia.org/wiki/Curve%20orientation | In mathematics, an orientation of a curve is the choice of one of the two possible directions for travelling on the curve. For example, for Cartesian coordinates, the -axis is traditionally oriented toward the right, and the -axis is upward oriented.
In the case of a planar simple closed curve (that is, a curve in the... |
https://en.wikipedia.org/wiki/AMD%20Am2900 | Am2900 is a family of integrated circuits (ICs) created in 1975 by Advanced Micro Devices (AMD). They were constructed with bipolar devices, in a bit-slice topology, and were designed to be used as modular components each representing a different aspect of a computer control unit (CCU). By using the bit slicing techniq... |
https://en.wikipedia.org/wiki/Cubic%20group | Cubic group can mean:
The octahedral symmetry group — one of the first 5 groups of the 7 point groups which are not in one of the 7 infinite series
cubic space group
Mathematics disambiguation pages |
https://en.wikipedia.org/wiki/Atiyah%E2%80%93Bott%20fixed-point%20theorem | In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point theorem for smooth manifolds M, which uses an elliptic complex on M. This is a system of elliptic differential operators on vector bundles, generalizing the de Rham c... |
https://en.wikipedia.org/wiki/Heybridge%2C%20Maldon | Heybridge is a large village and civil parish in the Maldon district of Essex, England. It is adjacent to the town of Maldon, near the River Blackwater.<ref>[http://www.neighbourhood.statistics.gov.uk/dissemination/viewFullDataset.do?instanceSelection=03070&productId=779&$ph=60_61&datasetInstanceId=3070&startColumn=1&n... |
https://en.wikipedia.org/wiki/Constant%20curvature | In mathematics, constant curvature is a concept from differential geometry. Here, curvature refers to the sectional curvature of a space (more precisely a manifold) and is a single number determining its local geometry. The sectional curvature is said to be constant if it has the same value at every point and for every... |
https://en.wikipedia.org/wiki/162%20%28number%29 | 162 (one hundred [and] sixty-two) is the natural number between 161 and 163.
In mathematics
Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number. 162 is also an abundant number, since its sum of divisors is greater than it. As the product of numbers three units apart from each other, it is a triple f... |
https://en.wikipedia.org/wiki/165%20%28number%29 | 165 (one hundred [and] sixty-five) is the natural number following 164 and preceding 166.
In mathematics
165 is:
an odd number, a composite number, and a deficient number.
a sphenic number.
a tetrahedral number
the sum of the sums of the divisors of the first 14 positive integers.
a self number in base 10.
a palindrom... |
https://en.wikipedia.org/wiki/Giovanni%20Bianchini | Giovanni Bianchini (in Latin, Johannes Blanchinus) (1410 – c. 1469) was a professor of mathematics and astronomy at the University of Ferrara and court astrologer of Leonello d'Este. He was an associate of Georg Purbach and Regiomontanus. The letters exchanged with Regiomontanus in 1463–1464 mention works by Bianchini ... |
https://en.wikipedia.org/wiki/Doubly%20periodic%20function | In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v are periods of a function ƒ means that
for all values of the complex number z.
The do... |
https://en.wikipedia.org/wiki/Probabilistic%20number%20theory | In mathematics, Probabilistic number theory is a subfield of number theory, which explicitly uses probability to answer questions about the integers and integer-valued functions. One basic idea underlying it is that different prime numbers are, in some serious sense, like independent random variables. This however is n... |
https://en.wikipedia.org/wiki/Function%20value | Function value may refer to:
In mathematics, the value of a function when applied to an argument.
In computer science, a closure. |
https://en.wikipedia.org/wiki/Eric%20Priest | Eric Ronald Priest (born 7 November 1943) is Emeritus Professor at St Andrews University, where he previously held the Gregory Chair of Mathematics and a Bishop Wardlaw Professorship.
Career and research
Priest is a recognised authority in solar magnetohydrodynamics (or MHD for short), the study of the subtle, and of... |
https://en.wikipedia.org/wiki/David%20Eisenbud | David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and former director of the then Mathematical Sciences Research Institute (MSRI), now known as Simons Laufer Mathematical Sciences Institute (SLMath). He served as... |
https://en.wikipedia.org/wiki/Doob%E2%80%93Meyer%20decomposition%20theorem | The Doob–Meyer decomposition theorem is a theorem in stochastic calculus stating the conditions under which a submartingale may be decomposed in a unique way as the sum of a martingale and an increasing predictable process. It is named for Joseph L. Doob and Paul-André Meyer.
History
In 1953, Doob published the Doob ... |
https://en.wikipedia.org/wiki/Linear%20stability | In mathematics, in the theory of differential equations and dynamical systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at this solution has the form , where r is the perturbation to the steady state, A is a linear operato... |
https://en.wikipedia.org/wiki/Quasi-isomorphism | In homological algebra, a branch of mathematics, a quasi-isomorphism or quism is a morphism A → B of chain complexes (respectively, cochain complexes) such that the induced morphisms
of homology groups (respectively, of cohomology groups) are isomorphisms for all n.
In the theory of model categories, quasi-isomorphis... |
https://en.wikipedia.org/wiki/Eureka%20%28University%20of%20Cambridge%20magazine%29 | Eureka is a journal published annually by The Archimedeans, the mathematical society of Cambridge University. It is one of the oldest recreational mathematics publications still in existence. Eureka includes many mathematical articles on a variety of different topics – written by students and mathematicians from all ov... |
https://en.wikipedia.org/wiki/Volterra%20operator | In mathematics, in the area of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L2[0,1] of complex-valued square-integrable functions on the interval [0,1]. On the subspace C[0,1] of continuous functions it represents indefinite integra... |
https://en.wikipedia.org/wiki/First%20variation | In applied mathematics and the calculus of variations, the first variation of a functional J(y) is defined as the linear functional mapping the function h to
where y and h are functions, and ε is a scalar. This is recognizable as the Gateaux derivative of the functional.
Example
Compute the first variation of
From... |
https://en.wikipedia.org/wiki/Choquet%20theory | In mathematics, Choquet theory, named after Gustave Choquet, is an area of functional analysis and convex analysis concerned with measures which have support on the extreme points of a convex set C. Roughly speaking, every vector of C should appear as a weighted average of extreme points, a concept made more precise by... |
https://en.wikipedia.org/wiki/Universal%20logic | Originally the expression Universal logic was coined by analogy with the expression Universal algebra. The first idea was to develop Universal logic as a field of logic that studies the features common to all logical systems, aiming to be to logic what Universal algebra is to algebra. A number of approaches to universa... |
https://en.wikipedia.org/wiki/Formal%20epistemology | Formal epistemology uses formal methods from decision theory, logic, probability theory and computability theory to model and reason about issues of epistemological interest. Work in this area spans several academic fields, including philosophy, computer science, economics, and statistics. The focus of formal epistemol... |
https://en.wikipedia.org/wiki/Phillip%20Griffiths | Phillip Augustus Griffiths IV (born October 18, 1938) is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He is a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theor... |
https://en.wikipedia.org/wiki/Cross-multiplication | In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The method is also occasionally known as the "cross your heart" method because lines resem... |
https://en.wikipedia.org/wiki/%E2%88%86 | ∆ may refer to:
Triangle (∆), one of the basic shapes in geometry. Many different mathematical equations include the use of the triangle.
Delta (letter) (Δ), a Greek letter also used in mathematics and computer science
ᐃ, a letter of Canadian Aboriginal Syllabics
Delta baryon (Δ), one of several Baryons consisting ... |
https://en.wikipedia.org/wiki/Karamata | Karamata may refer to:
Jovan Karamata (1902–1967), Serbian mathematician
Karamata's inequality, named after Jovan Karamata, also known as the majorization inequality, a theorem in elementary algebra for convex and concave real-valued functions, defined on an interval of the real line. It generalizes the discrete form... |
https://en.wikipedia.org/wiki/GRE%20Mathematics%20Test | The GRE subject test in mathematics is a standardized test in the United States created by the Educational Testing Service (ETS), and is designed to assess a candidate's potential for graduate or post-graduate study in the field of mathematics. It contains questions from many fields of mathematics; about 50% of the que... |
https://en.wikipedia.org/wiki/Set-theoretic%20topology | In mathematics, set-theoretic topology is a subject that combines set theory and general topology. It focuses on topological questions that are independent of Zermelo–Fraenkel set theory (ZFC).
Objects studied in set-theoretic topology
Dowker spaces
In the mathematical field of general topology, a Dowker space is a ... |
https://en.wikipedia.org/wiki/Pattern%20%28disambiguation%29 | A pattern is an original object used to make copies, or a set of repeating objects in a decorative design and in other disciplines.
Pattern, patterns, or patterning may also refer to:
Mathematics, science, and technology
Computing
Software design pattern, a standard form for a solution to common problems in softwa... |
https://en.wikipedia.org/wiki/List%20of%20urban%20areas%20in%20Norway%20by%20population | This is a list of urban areas in Norway by population, with population numbers as of 1 January 2017. For a list of towns and cities in Norway, see this link.
Statistics Norway, the governmental organisation with the task of measuring the Norwegian population, uses the term tettsted (literally "dense place"; meaning ur... |
https://en.wikipedia.org/wiki/Millennium%20Mathematics%20Project | The Millennium Mathematics Project (MMP) was set up within the University of Cambridge in England as a joint project between the Faculties of Mathematics and Education in 1999. The MMP aims to support maths education for pupils of all abilities from ages 5 to 19 and promote the development of mathematical skills and un... |
https://en.wikipedia.org/wiki/Continuous%20symmetry | In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection symmetry, which is invariant under a kind of flip from one state to another. However, a discrete symmetry can always be reinterpreted as a subset ... |
https://en.wikipedia.org/wiki/Otto%20Lehmann%20%28physicist%29 | Otto Lehmann (13 January 1855 in Konstanz, Germany – 17 June 1922 in Karlsruhe) was a German physicist and "father" of liquid crystal.
Life
Otto was the son of Franz Xavier Lehmann, a mathematics teacher in the Baden-Wurtemberg school system, with a strong interest in microscopes. Otto learned to experiment and keep r... |
https://en.wikipedia.org/wiki/Carath%C3%A9odory%E2%80%93Jacobi%E2%80%93Lie%20theorem | The Carathéodory–Jacobi–Lie theorem is a theorem in symplectic geometry which generalizes Darboux's theorem.
Statement
Let M be a 2n-dimensional symplectic manifold with symplectic form ω. For p ∈ M and r ≤ n, let f1, f2, ..., fr be smooth functions defined on an open neighborhood V of p whose differentials are linear... |
https://en.wikipedia.org/wiki/Nilmanifold | In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space , the quotient of a nilpotent Lie group N modulo a closed subgroup H. This notion w... |
https://en.wikipedia.org/wiki/Fano%20factor | In statistics, the Fano factor, like the coefficient of variation, is a measure of the dispersion of a counting process. It was originally used to measure the Fano noise in ion detectors. It is named after Ugo Fano, an Italian American physicist.
The Fano factor after a time is defined as
where is the standard devi... |
https://en.wikipedia.org/wiki/Leibniz%E2%80%93Newton%20calculus%20controversy | In the history of calculus, the calculus controversy () was an argument between the mathematicians Isaac Newton and Gottfried Wilhelm Leibniz over who had first invented calculus. The question was a major intellectual controversy, which began simmering in 1699 and broke out in full force in 1711. Leibniz had published ... |
https://en.wikipedia.org/wiki/Bochner%20integral | In mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of Lebesgue integral to functions that take values in a Banach space, as the limit of integrals of simple functions.
Definition
Let be a measure space, and be a Banach space. The Bochner integral of a function is defined in mu... |
https://en.wikipedia.org/wiki/Augmented%20matrix | In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
Given the matrices and , where
the augmented matrix (A|B) is written as
This is useful when solving syst... |
https://en.wikipedia.org/wiki/Aleksandr%20Kurosh | Aleksandr Gennadyevich Kurosh (; January 19, 1908 – May 18, 1971) was a Soviet mathematician, known for his work in abstract algebra. He is credited with writing The Theory of Groups, the first modern and high-level text on group theory, published in 1944.
He was born in Yartsevo, in the Dukhovshchinsky Uyezd of the S... |
https://en.wikipedia.org/wiki/Procrustes%20analysis | In statistics, Procrustes analysis is a form of statistical shape analysis used to analyse the distribution of a set of shapes. The name Procrustes () refers to a bandit from Greek mythology who made his victims fit his bed either by stretching their limbs or cutting them off.
In mathematics:
an orthogonal Procrustes... |
https://en.wikipedia.org/wiki/Non-negative%20matrix%20factorization | Non-negative matrix factorization (NMF or NNMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix is factorized into (usually) two matrices and , with the property that all three matrices have no negative elements. This non-negativity makes the... |
https://en.wikipedia.org/wiki/John%20Shawe-Taylor | John Stewart Shawe-Taylor (born 1953) is Director of the Centre for Computational Statistics and Machine Learning at University College, London (UK). His main research area is statistical learning theory. He has contributed to a number of fields ranging from graph theory through cryptography to statistical learning the... |
https://en.wikipedia.org/wiki/Des%20MacHale | Desmond MacHale (born 28 January 1946) is Emeritus Professor of Mathematics at University College Cork, Ireland. He is an author and speaker on several subjects, including George Boole, lateral thinking puzzles, and humour. He has published over 80 books, some of which have been translated into languages including Dan... |
https://en.wikipedia.org/wiki/Splitting%20circle%20method | In mathematics, the splitting circle method is a numerical algorithm for the numerical factorization of a polynomial and, ultimately, for finding its complex roots. It was introduced by Arnold Schönhage in his 1982 paper The fundamental theorem of algebra in terms of computational complexity (Technical report, Mathemat... |
https://en.wikipedia.org/wiki/Recursion%20theorem | Recursion theorem can refer to:
The recursion theorem in set theory
Kleene's recursion theorem, also called the fixed point theorem, in computability theory
The master theorem (analysis of algorithms), about the complexity of divide-and-conquer algorithms |
https://en.wikipedia.org/wiki/DIMACS | The Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaboration between Rutgers University, Princeton University, and the research firms AT&T, Bell Labs, Applied Communication Sciences, and NEC. It was founded in 1989 with money from the National Science Foundation. Its offices are lo... |
https://en.wikipedia.org/wiki/List%20of%20mathematics%20journals | This is a list of scientific journals covering mathematics with existing Wikipedia articles on them.
Alphabetic list of titles
A
B
C
D
E
F
G
H
I
J
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M
N
O
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Q
R
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See also
arXiv, an electronic preprint archive
List of computer science journals
List of mathematical physics journals
List of p... |
https://en.wikipedia.org/wiki/Empirical%20process | In probability theory, an empirical process is a stochastic process that describes the proportion of objects in a system in a given state.
For a process in a discrete state space a population continuous time Markov chain or Markov population model is a process which counts the number of objects in a given state (withou... |
https://en.wikipedia.org/wiki/Derby%20Owners%20Club | is a horse racing arcade game developed by Sega AM3 and published by Sega. Players are put into the roles of breeder, trainer, jockey, and owner of a thoroughbred racehorse. Statistics are saved on a IC card that can be put into any machine. The first version was released in Japan in 1999 and ran on the NAOMI arcade bo... |
https://en.wikipedia.org/wiki/Primality%20certificate | In mathematics and computer science, a primality certificate or primality proof is a succinct, formal proof that a number is prime. Primality certificates allow the primality of a number to be rapidly checked without having to run an expensive or unreliable primality test. "Succinct" usually means that the proof should... |
https://en.wikipedia.org/wiki/Wythoff%20symbol | In geometry, the Wythoff symbol is a notation representing a Wythoff construction of a uniform polyhedron or plane tiling within a Schwarz triangle. It was first used by Coxeter, Longuet-Higgins and Miller in their enumeration of the uniform polyhedra. Later the Coxeter diagram was developed to mark uniform polytopes a... |
https://en.wikipedia.org/wiki/Formal%20science | Formal science is a branch of science studying disciplines concerned with abstract structures described by formal systems, such as logic, mathematics, statistics, theoretical computer science, artificial intelligence, information theory, game theory, systems theory, decision theory, and theoretical linguistics. Whereas... |
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