source
stringlengths
31
168
text
stringlengths
51
3k
https://en.wikipedia.org/wiki/Fernando%20Moner
Fernando Daniel Moner (born 30 December 1967) is a retired Argentine football player. Club statistics External links 1967 births Living people Argentine men's footballers Argentine expatriate men's footballers Footballers from Buenos Aires Province San Lorenzo de Almagro footballers La Liga players Atlético Madr...
https://en.wikipedia.org/wiki/Wilks%27s%20lambda%20distribution
In statistics, Wilks' lambda distribution (named for Samuel S. Wilks), is a probability distribution used in multivariate hypothesis testing, especially with regard to the likelihood-ratio test and multivariate analysis of variance (MANOVA). Definition Wilks' lambda distribution is defined from two independent Wishar...
https://en.wikipedia.org/wiki/Symmetrization
In mathematics, symmetrization is a process that converts any function in variables to a symmetric function in variables. Similarly, antisymmetrization converts any function in variables into an antisymmetric function. Two variables Let be a set and be an additive abelian group. A map is called a if It is cal...
https://en.wikipedia.org/wiki/National%20Board%20for%20Higher%20Mathematics
The National Board for Higher Mathematics (NBHM), founded in 1983 by the Indian Government, is a board in India intended to foster the development of higher mathematics, help in the establishment and development of mathematics centres, and give financial assistance to research projects and to doctoral and post-doctoral...
https://en.wikipedia.org/wiki/1994%E2%80%9395%20First%20League%20of%20FR%20Yugoslavia
Statistics of First League of FR Yugoslavia () for the 1994–95 season. Overview Just as the previous season, the league consisted of 2 groups, A and B, each containing 10 clubs. Both groups were played in league system. By winter break all clubs in each group had met each other twice, home and away, with the bottom f...
https://en.wikipedia.org/wiki/1995%E2%80%9396%20First%20League%20of%20FR%20Yugoslavia
Statistics of First League of FR Yugoslavia () for the 1995–96 season. Overview Just as in the two previous seasons, the league was divided into 2 groups, A and B, consisting each one of 10 clubs. Both groups were played in league system. By winter break all clubs in each group meet each other twice, home and away, w...
https://en.wikipedia.org/wiki/Loomis%E2%80%93Whitney%20inequality
In mathematics, the Loomis–Whitney inequality is a result in geometry, which in its simplest form, allows one to estimate the "size" of a -dimensional set by the sizes of its -dimensional projections. The inequality has applications in incidence geometry, the study of so-called "lattice animals", and other areas. The ...
https://en.wikipedia.org/wiki/Uarini
Uarini is a municipality located in the Brazilian state of Amazonas. According to estimates of the Brazilian Institute of Geography and Statistics (IBGE), its population was 13,690 inhabitants in 2020. Its area is 10,246 km2. The municipality contains 38% of the Baixo Juruá Extractive Reserve, created in 2001. Histo...
https://en.wikipedia.org/wiki/Scherk%20surface
In mathematics, a Scherk surface (named after Heinrich Scherk) is an example of a minimal surface. Scherk described two complete embedded minimal surfaces in 1834; his first surface is a doubly periodic surface, his second surface is singly periodic. They were the third non-trivial examples of minimal surfaces (the fir...
https://en.wikipedia.org/wiki/Cardinality%20%28disambiguation%29
Cardinality may refer to: Cardinality of a set, a measure of the "number of elements" of a set in mathematics Cardinality of a musical set, the number of pitch classes Cardinality (data modeling), a term in database design, e.g. many-to-many or one-to-many relationships Cardinality (SQL statements), a term used in...
https://en.wikipedia.org/wiki/Dean%20Williams%20%28basketball%29
Dean Williams (born 17 February 1977 in England) is a British former professional basketball player. He used to play for Reading Rockets and he is now teaching maths in Jumeirah College in Dubai. The 6  ft 3 in tall Guard was educated at Marjon's and has played internationally for the England national team. Williams s...
https://en.wikipedia.org/wiki/Schoen%E2%80%93Yau%20conjecture
In mathematics, the Schoen–Yau conjecture is a disproved conjecture in hyperbolic geometry, named after the mathematicians Richard Schoen and Shing-Tung Yau. It was inspired by a theorem of Erhard Heinz (1952). One method of disproof is the use of Scherk surfaces, as used by Harold Rosenberg and Pascal Collin (2006). ...
https://en.wikipedia.org/wiki/Decomposition%20matrix
In mathematics, and in particular modular representation theory, a decomposition matrix is a matrix that results from writing the irreducible ordinary characters in terms of the irreducible modular characters, where the entries of the two sets of characters are taken to be over all conjugacy classes of elements of orde...
https://en.wikipedia.org/wiki/Brauer%E2%80%93Suzuki%20theorem
In mathematics, the Brauer–Suzuki theorem, proved by , , , states that if a finite group has a generalized quaternion Sylow 2-subgroup and no non-trivial normal subgroups of odd order, then the group has a center of order 2. In particular, such a group cannot be simple. A generalization of the Brauer–Suzuki theorem is...
https://en.wikipedia.org/wiki/Line%E2%80%93line%20intersection
In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the intersection have uses, for example, in computer graphics, motion planning, and collision detection. In three-dimensional Euclidean geometry, if two lines are not in t...
https://en.wikipedia.org/wiki/Harvey%20Butchart
John Harvey Butchart (May 10, 1907 – May 29, 2002) was a mathematics professor who was well known for his hiking exploits in and around the Grand Canyon in Arizona, United States. Beginning in 1945, Butchart explored the Grand Canyon's backcountry on foot. He wrote extensively about his adventures and influenced genera...
https://en.wikipedia.org/wiki/Mohamed%20Hamdoud
Mohamed "Moha" Hamdoud (born June 9, 1976 in El Biar, Alger, Algeria) is an Algerian former football player. Club career International career Career statistics Club Honours Won the Algerian League four times with USM Alger in 1996, 2002, 2003 and 2005 Won the Algerian Cup five times with USM Alger in 1997, 1999,...
https://en.wikipedia.org/wiki/Johann%20Schweigger
Johann Salomo Christoph Schweigger (8 April 1779 – 6 September 1857) was a German chemist, physicist, and professor of mathematics born in Erlangen. J.S.C.Schweigger was the son of Friedrich Christian Lorenz Schweigger, professor of theologie in Erlangen (1786 until his death in 1802). He studied philosophy in Erlange...
https://en.wikipedia.org/wiki/Dendroid%20%28topology%29
In mathematics, a dendroid is a type of topological space, satisfying the properties that it is hereditarily unicoherent (meaning that every subcontinuum of X is unicoherent), arcwise connected, and forms a continuum. The term dendroid was introduced by Bronisław Knaster lecturing at the University of Wrocław, although...
https://en.wikipedia.org/wiki/Dendrite%20%28mathematics%29
In mathematics, a dendrite is a certain type of topological space that may be characterized either as a locally connected dendroid or equivalently as a locally connected continuum that contains no simple closed curves. Importance Dendrites may be used to model certain types of Julia set. For example, if 0 is pre-peri...
https://en.wikipedia.org/wiki/Mark%20Embree
Mark Embree is professor of computational and applied mathematics at Virginia Tech in Blacksburg, Virginia. Until 2013, he was a professor of computational and applied mathematics at Rice University in Houston, Texas. Mark Embree was awarded Man of the Year and Outstanding Student in the College of Arts and Sciences ...
https://en.wikipedia.org/wiki/Prior%20information
Prior information may refer to Prior probability A prior information notice (PIN) issued in advance of procurement actions for the purposes of government procurement in the European Union
https://en.wikipedia.org/wiki/Group%20technology
Group technology or TZ is a manufacturing technique in which parts having similarities in geometry, manufacturing process and/or functions are manufactured in one location using a small number of machines or processes. Group technology is based on a general principle that many problems are similar and by grouping simil...
https://en.wikipedia.org/wiki/List%20of%20United%20States%20men%27s%20international%20soccer%20players
The following tables include various statistics for players on the United States men's national soccer team (featuring all caps, goals, assists and goalkeeper wins and shutouts) from the team's inception in 1916 through the October 17, 2023 game with Ghana. Appearances Players capped since 2022 are shown in Bold. Goa...
https://en.wikipedia.org/wiki/CHAMPS%20Project
The CHAMPS Project (Creating High Achievements in Mathematics, Problem-solving, and Science) is a combined effort of the Mississippi School for Mathematics and Science and the Mississippi University for Women aimed at improving various aspects of education in Mississippi. The goal of the CHAMPS Project is to improve st...
https://en.wikipedia.org/wiki/Palmer%20High%20School%20%28Alaska%29
Palmer High School is a high school located in the Matanuska-Susitna Borough in the city of Palmer, Alaska. It offers classes in fine arts, mathematics, world languages, physical education and health, science, English, social sciences, and career and technical education. Student support services are available for stud...
https://en.wikipedia.org/wiki/EDGE%20Foundation
The EDGE Foundation (Enhancing Diversity in Graduate Education) is an organization which helps women get advanced degrees in mathematics. History The EDGE program was launched in 1998 by Sylvia Bozeman and Rhonda Hughes to support female students pursuing graduate degrees in the mathematical sciences. The first EDGE ...
https://en.wikipedia.org/wiki/Kurepa%20tree
In set theory, a Kurepa tree is a tree (T, <) of height ω1, each of whose levels is at most countable, and has at least ℵ2 many branches. This concept was introduced by . The existence of a Kurepa tree (known as the Kurepa hypothesis, though Kurepa originally conjectured that this was false) is consistent with the axio...
https://en.wikipedia.org/wiki/List%20of%20things%20named%20after%20Srinivasa%20Ramanujan
Srinivasa Ramanujan (1887 – 1920) is the eponym of all of the topics listed below. Mathematics Brocard–Ramanujan Diophantine equation Dougall–Ramanujan identity Landau–Ramanujan constant Ramanujan's congruences Hardy–Ramanujan number Hardy–Ramanujan theorem Hardy–Ramanujan asymptotic formula Ramanujan identity Ramanuj...
https://en.wikipedia.org/wiki/F%20%28disambiguation%29
F is the sixth letter of the Latin alphabet. F may also refer to: Science and technology Mathematics F or f, the number 15 in hexadecimal and higher positional systems pFq, the hypergeometric function F-distribution, a continuous probability distribution F-test, a statistical test f, SI prefix femto, factor 10−...
https://en.wikipedia.org/wiki/U%20%28disambiguation%29
U is the twenty-first letter of the Latin alphabet. U may also refer to: Science Mathematics , union (set theory) U-set, a set of uniqueness U, the unitary group Chemistry Uranium, symbol U, a chemical element u, the Dalton (unit), a unified atomic mass unit to express atomic and molecular masses Astronomy ...
https://en.wikipedia.org/wiki/Central%20Bureau%20of%20Investigation%20and%20Statistics
The Central Bureau of Investigation and Statistics (CBIS) (, commonly known as Zhongtong, ), was an intelligence unit under the Organisation Department of the Central Executive Committee of the Kuomintang. It was one of Chiang Kai-shek's two police and military intelligence agencies, the other being the Military Bureau...
https://en.wikipedia.org/wiki/Dehn%E2%80%93Sommerville%20equations
In mathematics, the Dehn–Sommerville equations are a complete set of linear relations between the numbers of faces of different dimension of a simplicial polytope. For polytopes of dimension 4 and 5, they were found by Max Dehn in 1905. Their general form was established by Duncan Sommerville in 1927. The Dehn–Sommerv...
https://en.wikipedia.org/wiki/Duncan%20Sommerville
Duncan MacLaren Young Sommerville (1879–1934) was a Scottish mathematician and astronomer. He compiled a bibliography on non-Euclidean geometry and also wrote a leading textbook in that field. He also wrote Introduction to the Geometry of N Dimensions, advancing the study of polytopes. He was a co-founder and the firs...
https://en.wikipedia.org/wiki/Ban%20number
In recreational mathematics, a ban number is a number that does not contain a particular letter when spelled out in English; in other words, the letter is "banned." Ban numbers are not precisely defined, since some large numbers do not follow the standards of number names (such as googol and googolplex). There are sev...
https://en.wikipedia.org/wiki/Mallows%27s%20Cp
In statistics, Mallows's , named for Colin Lingwood Mallows, is used to assess the fit of a regression model that has been estimated using ordinary least squares. It is applied in the context of model selection, where a number of predictor variables are available for predicting some outcome, and the goal is to find the...
https://en.wikipedia.org/wiki/Brian%20Blank
Brian Blank (September 3, 1953 – December 9, 2018) was a Canadian/American associate professor of mathematics at Washington University in St. Louis. Blank was born in Montreal, Quebec, and earned an undergraduate degree in mathematics from McGill University. He received his Masters and Ph.D. in 1980 from Cornell Univ...
https://en.wikipedia.org/wiki/Terre%20Haute%20North%20Vigo%20High%20School
Terre Haute North Vigo High School, also known as Terre Haute North (THN), is a public high school located in Terre Haute, Indiana. Academics Advanced Placement classes include Calculus AB, Physics (Mechanics), Physics (Electricity and Magnetism), U.S. History, World History, U.S. Government, Biology, Chemistry, Engl...
https://en.wikipedia.org/wiki/Countably%20compact%20space
In mathematics a topological space is called countably compact if every countable open cover has a finite subcover. Equivalent definitions A topological space X is called countably compact if it satisfies any of the following equivalent conditions: (1) Every countable open cover of X has a finite subcover. (2) Every ...
https://en.wikipedia.org/wiki/Sequentially%20compact%20space
In mathematics, a topological space X is sequentially compact if every sequence of points in X has a convergent subsequence converging to a point in . Every metric space is naturally a topological space, and for metric spaces, the notions of compactness and sequential compactness are equivalent (if one assumes counta...
https://en.wikipedia.org/wiki/Smale%27s%20problems
Smale's problems are a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of proble...
https://en.wikipedia.org/wiki/Ricardinho%20%28footballer%2C%20born%20May%201984%29
José Ricardo dos Santos Oliveira or simply Ricardinho (born May 19, 1984 in João Pessoa, Brazil) is a Brazilian striker, who plays for Santa Cruz Futebol Clube. Club statistics References External links CBF Living people 1984 births Brazilian men's footballers Brazilian expatriate men's footballers Santa Cr...
https://en.wikipedia.org/wiki/Tse%20Man%20Wing
Tse Man Wing (, born 5 January 1983 in Hong Kong) is a former Hong Kong professional footballer who currently plays as an amateur player for Hong Kong First Division club Tai Po. Career statistics Club career As of 4 April 2008 International career As of 6 December 2006 References External links Tse Man Wing at...
https://en.wikipedia.org/wiki/British%20flag%20theorem
In Euclidean geometry, the British flag theorem says that if a point P is chosen inside a rectangle ABCD then the sum of the squares of the Euclidean distances from P to two opposite corners of the rectangle equals the sum to the other two opposite corners. As an equation: The theorem also applies to points outside th...
https://en.wikipedia.org/wiki/Shrinkage%20%28statistics%29
In statistics, shrinkage is the reduction in the effects of sampling variation. In regression analysis, a fitted relationship appears to perform less well on a new data set than on the data set used for fitting. In particular the value of the coefficient of determination 'shrinks'. This idea is complementary to overfit...
https://en.wikipedia.org/wiki/Contraharmonic%20mean
In mathematics, a contraharmonic mean is a function complementary to the harmonic mean. The contraharmonic mean is a special case of the Lehmer mean, , where p = 2. Definition The contraharmonic mean of a set of positive numbers is defined as the arithmetic mean of the squares of the numbers divided by the arithmet...
https://en.wikipedia.org/wiki/Cristian%20Leiva
Cristian Gustavo Leiva (born 26 September 1977) is an Argentine football midfielder who plays for Americo Tesorieri. External links Statistics at Guardian Stats Centre Cristian Leiva at Football Lineups Argentine Primera statistics Argentine men's footballers Men's association football midfielders Club Atlético Banf...
https://en.wikipedia.org/wiki/Defective
Defective may refer to:: Defective matrix, in algebra Defective verb, in linguistics Defective, or haser, in Hebrew orthography, a spelling variant that does not include mater lectionis Something presenting an anomaly, such as a product defect, making it nonfunctional See also Defect (disambiguation)
https://en.wikipedia.org/wiki/Elias%20Loomis
Elias Loomis (August 7, 1811 – August 15, 1889) was an American mathematician. He served as a professor of mathematics and natural philosophy at Western Reserve College (now Case Western Reserve University), the University of the City of New York and Yale University. During his tenure at Western Reserve College in 1838...
https://en.wikipedia.org/wiki/Trichotomy
A trichotomy can refer to: Law of trichotomy, a mathematical law that every real number is either positive, negative, or zero Trichotomy theorem, in finite group theory Trichotomy (jazz trio), Australian jazz band, collaborators with Danny Widdicombe on a 2019 album Trichotomy (philosophy), series of three terms u...
https://en.wikipedia.org/wiki/Cauchy%27s%20theorem%20%28geometry%29
Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy. It states that convex polytopes in three dimensions with congruent corresponding faces must be congruent to each other. That is, any polyhedral net formed by unfolding the faces of the polyhedron onto a flat surface, together with gluing instructi...
https://en.wikipedia.org/wiki/Southwest%20Virginia%20Governor%27s%20School%20for%20Science%2C%20Mathematics%2C%20and%20Technology
The Southwest Virginia Governor's School for Science, Mathematics, and Technology is one of Virginia's 18 state-initiated magnet Governor's Schools. It is a part-time school where 11th and 12th grade students take advanced classes in the morning (receiving their remaining classes from their home high school.) The sch...
https://en.wikipedia.org/wiki/Chan%27s%20algorithm
In computational geometry, Chan's algorithm, named after Timothy M. Chan, is an optimal output-sensitive algorithm to compute the convex hull of a set of points, in 2- or 3-dimensional space. The algorithm takes time, where is the number of vertices of the output (the convex hull). In the planar case, the algorith...
https://en.wikipedia.org/wiki/Consensus%20theorem
In Boolean algebra, the consensus theorem or rule of consensus is the identity: The consensus or resolvent of the terms and is . It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other. If includes a term which is negated in ...
https://en.wikipedia.org/wiki/Dense-in-itself
In general topology, a subset of a topological space is said to be dense-in-itself or crowded if has no isolated point. Equivalently, is dense-in-itself if every point of is a limit point of . Thus is dense-in-itself if and only if , where is the derived set of . A dense-in-itself closed set is called a perfect ...
https://en.wikipedia.org/wiki/Dirichlet%20process
In probability theory, Dirichlet processes (after the distribution associated with Peter Gustav Lejeune Dirichlet) are a family of stochastic processes whose realizations are probability distributions. In other words, a Dirichlet process is a probability distribution whose range is itself a set of probability distribut...
https://en.wikipedia.org/wiki/Frank%20Kelly%20%28mathematician%29
Francis Patrick Kelly, CBE, FRS (born 28 December 1950) is Professor of the Mathematics of Systems at the Statistical Laboratory, University of Cambridge. He served as Master of Christ's College, Cambridge from 2006 to 2016. Kelly's research interests are in random processes, networks and optimisation, especially in...
https://en.wikipedia.org/wiki/Average%20path%20length
Average path length, or average shortest path length is a concept in network topology that is defined as the average number of steps along the shortest paths for all possible pairs of network nodes. It is a measure of the efficiency of information or mass transport on a network. Concept Average path length is one of...
https://en.wikipedia.org/wiki/Mathematica%20%28disambiguation%29
Wolfram Mathematica is a computer algebra system and programming language. Mathematica may also refer to: Mathematica Inc. (1968–1986), a defunct research and software company Mathematica Inc., a policy research organization spun-off from the above company, formerly known as Mathematica Policy Research Philosophiæ Na...
https://en.wikipedia.org/wiki/Oriented%20projective%20geometry
Oriented projective geometry is an oriented version of real projective geometry. Whereas the real projective plane describes the set of all unoriented lines through the origin in R3, the oriented projective plane describes lines with a given orientation. There are applications in computer graphics and computer vision ...
https://en.wikipedia.org/wiki/List%20of%20mathematic%20operators
In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators. In the following L is an operator which takes a function to another function . Here, and are some ...
https://en.wikipedia.org/wiki/Geometry%20from%20the%20Land%20of%20the%20Incas
Geometry from the Land of the Incas is a free geometry website funded by advertising, aimed mainly at high school and college age students. Developed by Antonio Gutierrez, the site uses sound, dynamic geometry, animations, science, and Incan history with the goal of raising students' interest in Euclidean geometry. Nu...
https://en.wikipedia.org/wiki/List%20of%20Fulham%20F.C.%20records%20and%20statistics
The following article features the records and statistics of Fulham Football Club, based in Fulham, West London. Player appearances There are five Fulham players who have been in the club's starting line-up more than 450 times, all of whom have since retired from football: Johnny Haynes – 658 Eddie Lowe – 511 Les Barr...
https://en.wikipedia.org/wiki/Biangular%20coordinates
In mathematics, biangular coordinates are a coordinate system for the plane where and are two fixed points, and the position of a point P not on the line is determined by the angles and The sine rule can be used to convert from biangular coordinates to two-center bipolar coordinates. Applications Biangular coord...
https://en.wikipedia.org/wiki/Florent%20Bureau
Florent-Joseph Bureau (1906–1999) was a Belgian mathematician. He was a professor at the University of Liège. He worked on algebraic and differential geometry and the theory of analytical functions. In 1952, he was awarded the Francqui Prize on Exact Sciences. Academic staff of the University of Liège 20th-century Bel...
https://en.wikipedia.org/wiki/MathCast
MathCast is a graphical mathematics equation editor. With this computer application, a user can create equations in mathematical notation and use them in documents or web pages. Equations can be rendered into pictures or transformed into MathML. MathCast features a Rapid Mathline, Equation List Management, and XHTML ...
https://en.wikipedia.org/wiki/Non-abelian%20class%20field%20theory
In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field K, to the general Galois extension L/K. While class field theory was essentially known by 1930, the ...
https://en.wikipedia.org/wiki/L%C3%A9on%20Van%20Hove
Léon Charles Prudent Van Hove (10 February 1924 – 2 September 1990) was a Belgian physicist and a Director General of CERN. He developed a scientific career spanning mathematics, solid state physics, elementary particle and nuclear physics to cosmology. Biography Van Hove studied mathematics and physics at the Univers...
https://en.wikipedia.org/wiki/Mathematical%20Grammar%20School
Mathematical Grammar School (, abbr. "MG" or "MGB"), is a special school for gifted and talented students of mathematics, physics and informatics located in Belgrade, Serbia. It is ranked number one at International Science Olympiads by the number of medals won by its students (more than 400). The School has developed...
https://en.wikipedia.org/wiki/Hyperelliptic%20surface
In mathematics, a hyperelliptic surface, or bi-elliptic surface, is a surface whose Albanese morphism is an elliptic fibration. Any such surface can be written as the quotient of a product of two elliptic curves by a finite abelian group. Hyperelliptic surfaces form one of the classes of surfaces of Kodaira dimension 0...
https://en.wikipedia.org/wiki/Truncated%20triakis%20tetrahedron
In geometry, the truncated triakis tetrahedron, or more precisely an order-6 truncated triakis tetrahedron, is a convex polyhedron with 16 faces: 4 sets of 3 pentagons arranged in a tetrahedral arrangement, with 4 hexagons in the gaps. Construction It is constructed from a triakis tetrahedron by truncating the order-...
https://en.wikipedia.org/wiki/Energetic%20space
In mathematics, more precisely in functional analysis, an energetic space is, intuitively, a subspace of a given real Hilbert space equipped with a new "energetic" inner product. The motivation for the name comes from physics, as in many physical problems the energy of a system can be expressed in terms of the energeti...
https://en.wikipedia.org/wiki/Link%20Layer%20Topology%20Discovery
Link Layer Topology Discovery (LLTD) is a proprietary link layer protocol for network topology discovery and quality of service diagnostics. Microsoft developed it as part of the Windows Rally set of technologies. The LLTD protocol operates over both wired (such as Ethernet (IEEE 802.3) or power line communication) as ...
https://en.wikipedia.org/wiki/Two-center%20bipolar%20coordinates
In mathematics, two-center bipolar coordinates is a coordinate system based on two coordinates which give distances from two fixed centers and . This system is very useful in some scientific applications (e.g. calculating the electric field of a dipole on a plane). Transformation to Cartesian coordinates When the cen...
https://en.wikipedia.org/wiki/Ludwig%20Hopf
Ludwig Hopf (23 October 1884 in Nürnberg, Germany – 23 December 1939 in Dublin) was a German-Jewish theoretical physicist who made contributions to mathematics, special relativity, hydrodynamics, and aerodynamics. Early in his career he was the assistant to and a collaborator and co-author with Albert Einstein. Biogr...
https://en.wikipedia.org/wiki/G%C3%B6del%20numbering%20for%20sequences
In mathematics, a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number. While a set theoretical embedding is surely possible, the emphasis is on the effectiveness of the functions manipulating such representations of sequences: the opera...
https://en.wikipedia.org/wiki/Pierre%20van%20Moerbeke
Pierre van Moerbeke (born 1 October 1944 in Leuven, Belgium) is a Belgian mathematician. He studied mathematics at the Catholic University of Leuven, where he received his degree in 1966. He then obtained a PhD in mathematics at Rockefeller University, New York City (1972). He is a professor of mathematics at Brandeis ...
https://en.wikipedia.org/wiki/New%20home%20sales
New home sales is an economic indicator which records sales of newly constructed residences in the United States of America. The United States Census Bureau publishes new home sales statistics monthly on their website. Statistics are reported as unadjusted monthly rates and seasonally adjusted annual rates. Economic...
https://en.wikipedia.org/wiki/Simon%20model
In applied probability theory, the Simon model is a class of stochastic models that results in a power-law distribution function. It was proposed by Herbert A. Simon to account for the wide range of empirical distributions following a power-law. It models the dynamics of a system of elements with associated counters (...
https://en.wikipedia.org/wiki/Mean%20absolute%20error
In statistics, mean absolute error (MAE) is a measure of errors between paired observations expressing the same phenomenon. Examples of Y versus X include comparisons of predicted versus observed, subsequent time versus initial time, and one technique of measurement versus an alternative technique of measurement. MAE i...
https://en.wikipedia.org/wiki/Melnikov%20distance
In mathematics, the Melnikov method is a tool to identify the existence of chaos in a class of dynamical systems under periodic perturbation. Introduction The Melnikov method is used in many cases to predict the occurrence of chaotic orbits in non-autonomous smooth nonlinear systems under periodic perturbation. Acco...
https://en.wikipedia.org/wiki/Hanover%20High%20School%20%28Pennsylvania%29
Hanover Senior High School is located at 401 Moul Ave, Hanover, Pennsylvania. It is part of the Hanover Public School District. According to the National Center for Education Statistics, in 2018–2019, the school reported an enrollment of 481 pupils in grades 9th through 12th. The school employed 35.56 full-time-equiva...
https://en.wikipedia.org/wiki/Bicycle%20and%20motorcycle%20geometry
Bicycle and motorcycle geometry is the collection of key measurements (lengths and angles) that define a particular bike configuration. Primary among these are wheelbase, steering axis angle, fork offset, and trail. These parameters have a major influence on how a bike handles. Wheelbase The wheelbase is the horizonta...
https://en.wikipedia.org/wiki/List%20of%20bioinformatics%20companies
This is a list of bioinformatics companies that have articles at Wikipedia: Applied Maths provides the software suite BioNumerics Astrid Research BIOBASE BioBam Bioinformatics creator of Blast2GO Biomax Informatics AG bioinformatics services. Biovia (formerly Accelrys). Chemical Computing Group MOE software fo...
https://en.wikipedia.org/wiki/Solving%20quadratic%20equations%20with%20continued%20fractions
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is where a ≠ 0. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square. That formula always gives the roots of the quadratic equation, b...
https://en.wikipedia.org/wiki/Ivan%20Ivanov%20%28mathematician%29
Ivan Ivanovich Ivanov (; 11 August 1862 – 17 December 1939) was a Russian-Soviet mathematician who worked in the field of number theory. Together with Georgy Voronoy he continued Pafnuty Chebyshev's work on the subject. Life and work Ivanov was born in Saint Petersburg, Russia. He finished his studies in mathematics ...
https://en.wikipedia.org/wiki/Tennis%20male%20players%20statistics
Since 1990, the biggest events in men's tennis have been the four Grand Slam tournaments, the ATP Finals and the ATP Masters tournaments, in addition to the Grand Slam Cup between 1990–99. From 1983 to 1990, men's tennis had a very strong tradition and clear hierarchy of tournaments: the Grand Slam tournaments, includi...
https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta%E2%80%93Fehlberg%20method
In mathematics, the Runge–Kutta–Fehlberg method (or Fehlberg method) is an algorithm in numerical analysis for the numerical solution of ordinary differential equations. It was developed by the German mathematician Erwin Fehlberg and is based on the large class of Runge–Kutta methods. The novelty of Fehlberg's method ...
https://en.wikipedia.org/wiki/Finite-rank%20operator
In functional analysis, a branch of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional. Finite-rank operators on a Hilbert space A canonical form Finite-rank operators are matrices (of finite size) transplanted to the infinite dimensional setting...
https://en.wikipedia.org/wiki/Probability%20integral%20transform
In probability theory, the probability integral transform (also known as universality of the uniform) relates to the result that data values that are modeled as being random variables from any given continuous distribution can be converted to random variables having a standard uniform distribution. This holds exactly p...
https://en.wikipedia.org/wiki/Lexis%20ratio
The Lexis ratio is used in statistics as a measure which seeks to evaluate differences between the statistical properties of random mechanisms where the outcome is two-valued — for example "success" or "failure", "win" or "lose". The idea is that the probability of success might vary between different sets of trials in...
https://en.wikipedia.org/wiki/Mian%E2%80%93Chowla%20sequence
In mathematics, the Mian–Chowla sequence is an integer sequence defined recursively in the following way. The sequence starts with Then for , is the smallest integer such that every pairwise sum is distinct, for all and less than or equal to . Properties Initially, with , there is only one pairwise sum, 1 +...
https://en.wikipedia.org/wiki/U%C5%9Fak%20Airport
Uşak Airport is the main airport of the city of Uşak in the Aegean Region of Turkey. Statistics External links Official website References Airport Airports in Turkey Buildings and structures in Uşak Province Transport in Uşak Province
https://en.wikipedia.org/wiki/Religion%20in%20Austria
Religion in Austria is predominantly Christianity, adhered to by 68.2% of the country's population according to the 2021 national survey conducted by Statistics Austria. Among Christians, 80.9% were Catholics, 7.2% were Orthodox Christians (mostly belonging to the Eastern Orthodox Church), 5.6% were Protestants, while ...
https://en.wikipedia.org/wiki/Journal%20of%20Number%20Theory
The Journal of Number Theory (JNT) is a bimonthly peer-reviewed scientific journal covering all aspects of number theory. The journal was established in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus (Ohio State University). It is currently published monthly by Elsevier and the editor-in-chief i...
https://en.wikipedia.org/wiki/NCAA%20Division%20I%20men%27s%20lacrosse%20records
NCAA Division I men's lacrosse records listed here are primarily records compiled by the NCAA's Director of Statistics office. Included in this consolidation are the NCAA men's Division I individual single-season and career leaders. Official NCAA men's lacrosse records did not begin until the 1971 season and are based...
https://en.wikipedia.org/wiki/Anthony%20Santasiere
Anthony Edward Santasiere (December 9, 1904January 13, 1977) was an American chess master and chess writer, who also wrote extensively on non-chess topics. Santasiere was a middle school mathematics teacher by profession. Santasiere won the 1945 U.S. Open Chess Championship, four New York State championships, and six...
https://en.wikipedia.org/wiki/Jim%20Hefferon
Jim Hefferon (born October 12, 1958) is a Professor of Mathematics at Saint Michael's College. He is known for his award-winning textbook on linear algebra that is available for free download, with LaTeX source, and for his activity in the TeX community. Early life Jim Hefferon grew up in Connecticut and attended th...
https://en.wikipedia.org/wiki/Negligible%20function
For a similar term, please see negligible set. (disambiguation) In mathematics, a negligible function is a function such that for every positive integer c there exists an integer Nc such that for all x > Nc, Equivalently, we may also use the following definition. A function is negligible, if for every positive poly...
https://en.wikipedia.org/wiki/George%20Langdale
George Richmond Langdale (11 March 1916 – 24 April 2002) was a schoolmaster, writer on mathematics and an English cricketer who played for Derbyshire from 1936 to 1937 and for Somerset from 1946 to 1949. He also played for the minor counties Norfolk and Berkshire. Langdale was born in Thornaby-on-Tees in Yorkshire. ...