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https://en.wikipedia.org/wiki/Coordinate-induced%20basis | In mathematics, a coordinate-induced basis is a basis for the tangent space or cotangent space of a manifold that is induced by a certain coordinate system. Given the coordinate system , the coordinate-induced basis of the tangent space is given by
and the dual basis of the cotangent space is
References
D.J. Hurl... |
https://en.wikipedia.org/wiki/Nicholas%20Shepherd-Barron | Nicholas Ian Shepherd-Barron, FRS (born 17 March 1955), is a British mathematician working in algebraic geometry. He is a professor of mathematics at King's College London.
Education and career
Shepherd-Barron was a scholar of Winchester College. He obtained his B.A. at Jesus College, Cambridge in 1976, and received... |
https://en.wikipedia.org/wiki/Emma%20Lehmer | Emma Markovna Lehmer (née Trotskaia) (November 6, 1906 – May 7, 2007) was a mathematician known for her work on reciprocity laws in algebraic number theory. She preferred to deal with complex number fields and integers, rather than the more abstract aspects of the theory.
Biography
She was born in Samara, Russian Em... |
https://en.wikipedia.org/wiki/Vala%C5%A1kovce | Valaškovce is a municipality and former village and in Humenné District in the Prešov Region of north-east Slovakia.
History
External links
http://www.statistics.sk/mosmis/eng/run.html
Villages and municipalities in Humenné District
Former villages in Slovakia |
https://en.wikipedia.org/wiki/Chabauty%20topology | In mathematics, the Chabauty topology is a certain topological structure introduced in 1950 by Claude Chabauty, on the set of all closed subgroups of a locally compact group G.
The intuitive idea may be seen in the case of the set of all lattices in a Euclidean space E. There these are only certain of the closed subg... |
https://en.wikipedia.org/wiki/Donaldson%20theory | In mathematics, and especially gauge theory, Donaldson theory is the study of the topology of smooth 4-manifolds using moduli spaces of anti-self-dual instantons. It was started by Simon Donaldson (1983) who proved Donaldson's theorem restricting the possible quadratic forms on the second cohomology group of a compact ... |
https://en.wikipedia.org/wiki/CLHEP | CLHEP (short for A Class Library for High Energy Physics) is a C++ library that provides utility classes for general numerical programming, vector arithmetic, geometry, pseudorandom number generation, and linear algebra, specifically targeted for high energy physics simulation and analysis software.
The project is host... |
https://en.wikipedia.org/wiki/Statistics%20%28disambiguation%29 | Statistics is a mathematical science pertaining to the collection, analysis, interpretation, and presentation of data.
Statistic may also refer to:
Statistic, the result of applying a statistical algorithm to a set of data
Statistic (role-playing games), a piece of data which represents a particular aspect of a fic... |
https://en.wikipedia.org/wiki/Nen%C3%AA%20%28footballer%2C%20born%201975%29 | Fábio Camilo de Brito, nicknamed "Nenê", (born 6 June 1975 in São Paulo, Brazil), is a Brazilian former professional footballer who played as a central defender.
Club statistics
Honours
Hertha BSC
DFB-Ligapokal: 2003
Vitória
Campeonato Baiano: 2004, 2005
Urawa Reds
J. League: 2006
Emperor's Cup: 2006
AFC Champ... |
https://en.wikipedia.org/wiki/Matthias%20Mann | Matthias Mann (born 10 October 1959) is a scientist in the area of mass spectrometry and proteomics.
Early life and education
Born in Germany he studied mathematics and physics at the University of Göttingen. He received his Ph.D. in 1988 at Yale University where he worked in the group of John Fenn, who was later awar... |
https://en.wikipedia.org/wiki/Simeon%20ben%20Zemah%20Duran | Simeon ben Zemah Duran, also Tzemach Duran (1361–1444; ), known as Rashbatz () or Tashbatz was a Rabbinical authority, student of philosophy, astronomy, mathematics, and especially of medicine, which he practised for a number of years at Palma de Mallorca. A major 15th century posek, his published decisions in matters... |
https://en.wikipedia.org/wiki/2006%20Wigan%20Warriors%20season | The Wigan Warriors played in the Super League and Challenge Cup in the 2006 season.
Statistics
Tries
Goals
Points
Appearances
2006 squad
Key players
Key players for Wigan Warriors in 2006 were:
Chris Ashton was brought in to the Wigan squad at the start of 2006 as replacement for the injured Kris Radlinski. ... |
https://en.wikipedia.org/wiki/Vladimir%20Abramovich%20Rokhlin | Vladimir Abramovich Rokhlin (Russian: Влади́мир Абра́мович Ро́хлин) (23 August 1919 – 3 December 1984) was a Soviet mathematician, who made numerous contributions in algebraic topology, geometry, measure theory, probability theory, ergodic theory and entropy theory.
Life
Vladimir Abramovich Rokhlin was born in Baku, A... |
https://en.wikipedia.org/wiki/Dennis%20Barden | Dennis Barden is a mathematician at the University of Cambridge working in the fields of geometry and topology. He is known for his classification of the simply connected compact 5-manifolds and, together with Barry Mazur and John R. Stallings, for having proved the s-cobordism theorem. Barden received his Ph.D. from C... |
https://en.wikipedia.org/wiki/Muted%20group%20theory | Muted group theory (MGT), created by Edwin Ardener and Shirley Ardener in 1975, is a communication theory that focuses on how marginalized groups are muted and excluded via the use of language. The main idea of MGT is that "Language serves its creators better than those in other groups who have to learn to use the lang... |
https://en.wikipedia.org/wiki/Richard%20D.%20Gill | Richard David Gill (born 1951) is a British-Dutch mathematician. He has held academic positions in the Netherlands. As a probability theorist and statistician, Gill has researched counting processes. He is also known for his consulting and advocacy on behalf of alleged victims of statistical misrepresentation, includin... |
https://en.wikipedia.org/wiki/Math%20wars | Math wars is the debate over modern mathematics education, textbooks and curricula in the United States that was triggered by the publication in 1989 of the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM) and subsequent development and widespread adop... |
https://en.wikipedia.org/wiki/Fran%C3%A7ois-Romain%20Lh%C3%A9risson | François-Romain Lhérisson (1798–1859) was a Haitian poet and educator. He was born and later taught in Aquin in southwestern Haiti. He taught a broad range of subjects, including Latin, algebra, geometry, and law. As a poet, Lhérisson is remembered for his poetic songs, such as La Bergère Somnambule.
References
Exter... |
https://en.wikipedia.org/wiki/List%20of%20Thor%20and%20Delta%20launches%20%281990%E2%80%931999%29 | Between 1990 and 1999, there were 89 Thor-based rockets launched, of which 85 were successful, giving a 95.5% success rate.
Notable missions
Mars Pathfinder
Mars Climate Orbiter
Launch statistics
Rocket configurations
Launch sites
Launch outcomes
Launch history
1990
There were 13 Thor missiles launched in 1990... |
https://en.wikipedia.org/wiki/L%C3%A9l%C3%A9%2C%20Cameroon | Lélé is a town in southern Cameroon, near the junction of the borders of Cameroon, Gabon and Congo-Brazzaville.
Statistics
Population = 794
See also
Lélé River
References
External links
Populated places in South Region (Cameroon) |
https://en.wikipedia.org/wiki/Robert%20Abelson | Robert Paul Abelson (September 12, 1928 – July 13, 2005) was a Yale University psychologist and political scientist with special interests in statistics and logic.
Biography
He was born in New York City and attended the Bronx High School of Science. He did his undergraduate work at MIT and his Ph.D. in psychology at P... |
https://en.wikipedia.org/wiki/Emil%20Viklick%C3%BD | Emil Viklický (born 23 November 1948) is a Czech jazz pianist and composer.
Career
Viklický was born in Olomouc. He graduated from Palacký University in 1971 with a degree in mathematics. As a student, he devoted a lot of time to playing jazz piano, and in 1974, he was awarded the prize for best soloist at the Czecho... |
https://en.wikipedia.org/wiki/Siegel%20modular%20form | In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional elliptic modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular forms are Siegel modular varieties, which are basic models for what a moduli spa... |
https://en.wikipedia.org/wiki/Paul%20Wolfskehl | Paul Friedrich Wolfskehl (30 June 1856 in Darmstadt – 13 September 1906 in Darmstadt), was a physician with an interest in mathematics. He bequeathed 100,000 marks (equivalent to 1,000,000 pounds in 1997 money) to the first person to prove Fermat's Last Theorem.
He was the younger of two sons of a banker, Joseph Carl ... |
https://en.wikipedia.org/wiki/Markus%E2%80%93Yamabe%20conjecture | In mathematics, the Markus–Yamabe conjecture is a conjecture on global asymptotic stability. If the Jacobian matrix of a dynamical system at a fixed point is Hurwitz, then the fixed point is asymptotically stable. Markus-Yamabe conjecture asks if a similar result holds globally. Precisely, the conjecture states that if... |
https://en.wikipedia.org/wiki/Tristram%20Jones-Parry | Tristram Jones-Parry (born 23 July 1947) is a British teacher of mathematics. He was headmaster of Emanuel School (1994–1998) and Westminster School (1998–2005), two independent schools in the UK, and is currently a governor at Hampton Court House School. He was educated at Westminster School and Christ Church, Oxford... |
https://en.wikipedia.org/wiki/Bohemian%20Society%20of%20Sciences | Bohemian Society of Sciences was the first official scientific organization within Bohemia.
History
The Bohemian Society of Sciences was created from the Private Society for Mathematics, Patriotic History and Natural History, the first scientific society within the frontiers of the later Czechoslovakia. This organizat... |
https://en.wikipedia.org/wiki/E-function | In mathematics, E-functions are a type of power series that satisfy particular arithmetic conditions on the coefficients. They are of interest in transcendental number theory, and are more special than G-functions.
Definition
A function is called of type , or an -function, if the power series
satisfies the followin... |
https://en.wikipedia.org/wiki/Fernando%20Tarrida%20del%20M%C3%A1rmol | Fernando Tarrida del Mármol (1861 – 1915) was a mathematics professor born in Cuba and raised in Catalonia best known for proposing "anarchism without adjectives", the idea that anarchists should set aside their debates over the most preferable economic systems and acknowledge their commonality in ultimate aims.
Early... |
https://en.wikipedia.org/wiki/Conditional%20event%20algebra | A standard, Boolean algebra of events is a set of events related to one another by the familiar operations and, or, and not. A conditional event algebra (CEA) contains not just ordinary events but also conditional events, which have the form "if A, then B". The usual purpose of a CEA is to enable the defining of a prob... |
https://en.wikipedia.org/wiki/Goldie%27s%20theorem | In mathematics, Goldie's theorem is a basic structural result in ring theory, proved by Alfred Goldie during the 1950s. What is now termed a right Goldie ring is a ring R that has finite uniform dimension (="finite rank") as a right module over itself, and satisfies the ascending chain condition on right annihilators o... |
https://en.wikipedia.org/wiki/Semiprime%20ring | In ring theory, a branch of mathematics, semiprime ideals and semiprime rings are generalizations of prime ideals and prime rings. In commutative algebra, semiprime ideals are also called radical ideals and semiprime rings are the same as reduced rings.
For example, in the ring of integers, the semiprime ideals are th... |
https://en.wikipedia.org/wiki/Parry%E2%80%93Sullivan%20invariant | In mathematics, the Parry–Sullivan invariant (or Parry–Sullivan number) is a numerical quantity of interest in the study of incidence matrices in graph theory, and of certain one-dimensional dynamical systems. It provides a partial classification of non-trivial irreducible incidence matrices.
It is named after the Eng... |
https://en.wikipedia.org/wiki/Automatic%20sequence | In mathematics and theoretical computer science, an automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base of the numerals used is k) is an infinite sequence of terms characterized by a finite automaton. The n-th term of an automatic sequence a(n) i... |
https://en.wikipedia.org/wiki/Commutative%20magma | In mathematics, there exist magmas that are commutative but not associative. A simple example of such a magma may be derived from the children's game of rock, paper, scissors. Such magmas give rise to non-associative algebras.
A magma which is both commutative and associative is a commutative semigroup.
A commutative... |
https://en.wikipedia.org/wiki/Large | Large means of great size.
Large may also refer to:
Mathematics
Arbitrarily large, a phrase in mathematics
Large cardinal, a property of certain transfinite numbers
Large category, a category with a proper class of objects and morphisms (or both)
Large diffeomorphism, a diffeomorphism that cannot be continuously ... |
https://en.wikipedia.org/wiki/Huge | Huge may refer to:
Huge cardinal, a number in mathematics
Huge (Caroline's Spine album), 1996
Huge (Hugh Hopper and Kramer album), 1997
Huge (TV series), a television series on ABC Family
Huge (digital agency)
Huge (magazine), a style magazine published by Kodansha in Japan
Human Genome Equivalent, a genomic se... |
https://en.wikipedia.org/wiki/Dawsonville%2C%20Kenya | Dawsonville is a railway town and junction in Kenya, lying on the main line to Uganda and the branches to Kisumu and Solai.
See also
Railway stations in Kenya
Statistics
Elevation = 1984m
Population = 49,675
References
Populated places in Nakuru County |
https://en.wikipedia.org/wiki/Andrews%E2%80%93Curtis%20conjecture | In mathematics, the Andrews–Curtis conjecture states that every balanced presentation of the trivial group can be transformed into a trivial presentation by a sequence of Nielsen transformations on the relators together with conjugations of relators, named after James J. Andrews and Morton L. Curtis who proposed it in ... |
https://en.wikipedia.org/wiki/Non-abelian | Non-abelian or nonabelian may refer to:
Non-abelian group, in mathematics, a group that is not abelian (commutative)
Non-abelian gauge theory, in physics, a gauge group that is non-abelian
See also
Non-abelian gauge transformation, a gauge transformation
Non-abelian class field theory, in class field theory
Nona... |
https://en.wikipedia.org/wiki/Odd%20Aalen | Odd Olai Aalen (born 6 May 1947, in Oslo) is a Norwegian statistician and a professor at the Department of Biostatistics at the Institute of Basic Medical Sciences at the University of Oslo.
Life
Aalen completed his examen artium in 1966 at Oslo Cathedral School before studying first mathematics and physics and then s... |
https://en.wikipedia.org/wiki/Carleson%20measure | In mathematics, a Carleson measure is a type of measure on subsets of n-dimensional Euclidean space Rn. Roughly speaking, a Carleson measure on a domain Ω is a measure that does not vanish at the boundary of Ω when compared to the surface measure on the boundary of Ω.
Carleson measures have many applications in harmon... |
https://en.wikipedia.org/wiki/Arnoldo%20Frigessi | Arnoldo Frigessi di Rattalma (born 1959) is an Italian statistician based in Norway, where he is a professor at the Department of Biostatistics (now called Oslo Centre for Biostatistics and Epidemiology) with the Institute of Basic Medical Research at the University of Oslo. He has also a position at the Oslo Universit... |
https://en.wikipedia.org/wiki/Marshall%20Hall%20%28mathematician%29 | Marshall Hall Jr. (17 September 1910 – 4 July 1990) was an American mathematician who made significant contributions to group theory and combinatorics.
Education and career
Hall studied mathematics at Yale University, graduating in 1932. He studied for a year at Cambridge University under a Henry Fellowship working ... |
https://en.wikipedia.org/wiki/Otero%20Mesa | {
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https://en.wikipedia.org/wiki/Edmond%20Laforest | Edmond Laforest (20 June 1876 – 17 October 1915) was a Haitian poet.
Life and works
Born in Jérémie, Laforest was a teacher of French and mathematics. Some of his most noted works are Poèmes Mélancoliques (1901), Sonnets-Médaillons (1909), and Cendres et Flammes.
He killed himself by tying a Larousse dictionary aroun... |
https://en.wikipedia.org/wiki/Cheeger%20constant%20%28graph%20theory%29 | In mathematics, the Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck". The Cheeger constant as a measure of "bottleneckedness" is of great interest in many areas: for example, constructing well-connected networks of computers, c... |
https://en.wikipedia.org/wiki/Fiber%20bundle%20construction%20theorem | In mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle from a given base space, fiber and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are isomorphic. The theorem is important in the associated bundle construction wher... |
https://en.wikipedia.org/wiki/5-manifold | In mathematics, a 5-manifold is a 5-dimensional topological manifold, possibly with a piecewise linear or smooth structure.
Non-simply connected 5-manifolds are impossible to classify, as this is harder than solving the word problem for groups. Simply connected compact 5-manifolds were first classified by Stephen Smal... |
https://en.wikipedia.org/wiki/Borsuk%27s%20conjecture | The Borsuk problem in geometry, for historical reasons incorrectly called Borsuk's conjecture, is a question in discrete geometry. It is named after Karol Borsuk.
Problem
In 1932, Karol Borsuk showed that an ordinary 3-dimensional ball in Euclidean space can be easily dissected into 4 solids, each of which has a small... |
https://en.wikipedia.org/wiki/T-theory | T-theory is a branch of discrete mathematics dealing with analysis of trees and discrete metric spaces.
General history
T-theory originated from a question raised by Manfred Eigen in the late 1970s. He was trying to fit twenty distinct t-RNA molecules of the Escherichia coli bacterium into a tree.
An important concep... |
https://en.wikipedia.org/wiki/Conference%20matrix | In mathematics, a conference matrix (also called a C-matrix) is a square matrix C with 0 on the diagonal and +1 and −1 off the diagonal, such that CTC is a multiple of the identity matrix I. Thus, if the matrix has order n, CTC = (n−1)I.
Some authors use a more general definition, which requires there to be a single ... |
https://en.wikipedia.org/wiki/Seidel%20adjacency%20matrix | In mathematics, in graph theory, the Seidel adjacency matrix of a simple undirected graph G is a symmetric matrix with a row and column for each vertex, having 0 on the diagonal, −1 for positions whose rows and columns correspond to adjacent vertices, and +1 for positions corresponding to non-adjacent vertices.
It is a... |
https://en.wikipedia.org/wiki/Birch%E2%80%93Tate%20conjecture | The Birch–Tate conjecture is a conjecture in mathematics (more specifically in algebraic K-theory) proposed by both Bryan John Birch and John Tate.
Statement
In algebraic K-theory, the group K2 is defined as the center of the Steinberg group of the ring of integers of a number field F. K2 is also known as the tame ker... |
https://en.wikipedia.org/wiki/Encyclopedia%20of%20Statistical%20Sciences | The Encyclopedia of Statistical Sciences is an encyclopaedia of statistics published by John Wiley & Sons.
The first edition, in nine volumes, was published in 1982; it was edited by Norman Lloyd Johnson and Samuel Kotz. The second edition, in 16 volumes, was published in 2006; the senior editor was Samuel Kotz.
See... |
https://en.wikipedia.org/wiki/John%20D.%20O%27Bryant%20School%20of%20Mathematics%20%26%20Science | The John D. O'Bryant School of Mathematics and Science (abbreviated as O'B), formerly known as Boston Technical High School is a college preparatory public exam school along with Boston Latin School and Boston Latin Academy. The O’Bryant specializes in science, technology, engineering and mathematics ("STEM") in the ci... |
https://en.wikipedia.org/wiki/Joint%20Mathematical%20Council | The Joint Mathematical Council (JMC) of the United Kingdom was formed in 1963 to "provide co-ordination between the Constituent Societies and generally to promote the advancement of mathematics and the improvement of the teaching of mathematics".
The JMC serves as a forum for discussion between societies and for makin... |
https://en.wikipedia.org/wiki/Roscommon%20High%20School | Roscommon High School is located in Roscommon, Michigan. It is the secondary institution for the Roscommon Area Public School District. Roscommon, or RHS, is a class C/Division 3 School.
Statistics
2009
Enrollment: 440
ACT Average Score: 21.0
ACT Participation Rate: 44%
2005
Drop Out Rate: 3.43%
Graduation Rate: 87... |
https://en.wikipedia.org/wiki/Goa%2C%20Botswana | Goa is a small town in Botswana. It lies near the Namibian border, near the Caprivi Strip, and about 11 kilometres from Shakawe which is also the nearest airport.
Statistics
Elevation = 999m
References
North-West District (Botswana)
Villages in Botswana |
https://en.wikipedia.org/wiki/Quantum%20cohomology | In mathematics, specifically in symplectic topology and algebraic geometry, a quantum cohomology ring is an extension of the ordinary cohomology ring of a closed symplectic manifold. It comes in two versions, called small and big; in general, the latter is more complicated and contains more information than the former.... |
https://en.wikipedia.org/wiki/Novikov%20ring | In mathematics, given an additive subgroup , the Novikov ring of is the subring of consisting of formal sums such that and . The notion was introduced by Sergei Novikov in the papers that initiated the generalization of Morse theory using a closed one-form instead of a function. The notion is used in quantum coho... |
https://en.wikipedia.org/wiki/Rado%20graph | In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with probability one) by choosing independently at random for each pair of its vertices whether to connect the vertices by an edge. The names of this graph honor Richard R... |
https://en.wikipedia.org/wiki/Association%20of%20Teachers%20of%20Mathematics | The Association of Teachers of Mathematics (ATM) was established by Caleb Gattegno in 1950 to encourage the development of mathematics education to be more closely related to the needs of the learner. ATM is a membership organisation representing a community of students, nursery, infant, primary, secondary and tertiary... |
https://en.wikipedia.org/wiki/Generalized%20linear%20array%20model | In statistics, the generalized linear array model (GLAM) is used for analyzing data sets with array structures. It based on the generalized linear model with the design matrix written as a Kronecker product.
Overview
The generalized linear array model or GLAM was introduced in 2006. Such models provide a structure a... |
https://en.wikipedia.org/wiki/Signature%20%28logic%29 | In logic, especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language. In universal algebra, a signature lists the operations that characterize an algebraic structure. In model theory, signatures are used for both purposes. They are rarely made explicit in more philosoph... |
https://en.wikipedia.org/wiki/Donald%20Rubin | Donald Bruce Rubin (born December 22, 1943) is an Emeritus Professor of Statistics at Harvard University, where he chaired the department of Statistics for 13 years. He also works at Tsinghua University in China and at Temple University in Philadelphia.
He is most well known for the Rubin causal model, a set of method... |
https://en.wikipedia.org/wiki/British%20Society%20for%20the%20History%20of%20Mathematics | The British Society for the History of Mathematics (BSHM) was founded in 1971 to promote research into the history of mathematics at all levels and to further the use of the history of mathematics in education.
The BSHM is concerned with all periods and cultures, and with all aspects of mathematics. It participates i... |
https://en.wikipedia.org/wiki/BSHM | BSHM may refer to:
British Society for the History of Mathematics
British Society for the History of Medicine |
https://en.wikipedia.org/wiki/L%C3%A1szl%C3%B3%20R%C3%A1tz | László Rátz (9 April 1863 in Sopron – 30 September 1930 in Budapest) was a Hungarian mathematics high school teacher best known for educating such people as John von Neumann and Nobel laureate Eugene Wigner. He was a legendary teacher of "Budapest-Fasori Evangélikus Gimnázium", the Budapest Lutheran Gymnasium, a famous... |
https://en.wikipedia.org/wiki/Gambling%20mathematics | The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory. From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of proba... |
https://en.wikipedia.org/wiki/Robert%20Maskell%20Patterson | Robert Maskell Patterson (March 23, 1787 – September 5, 1854) was an American chemist, mathematician, and physician. He was a professor of mathematics, chemistry and natural philosophy at the University of Pennsylvania and professor of natural philosophy at the University of Virginia. He also served as director of the ... |
https://en.wikipedia.org/wiki/Basu%27s%20theorem | In statistics, Basu's theorem states that any boundedly complete minimal sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu.
It is often used in statistics as a tool to prove independence of two statistics, by first demonstrating one is complete sufficient and the o... |
https://en.wikipedia.org/wiki/Countably%20generated%20space | In mathematics, a topological space is called countably generated if the topology of is determined by the countable sets in a similar way as the topology of a sequential space (or a Fréchet space) is determined by the convergent sequences.
The countably generated spaces are precisely the spaces having countable tigh... |
https://en.wikipedia.org/wiki/Bianchi%20classification | In mathematics, the Bianchi classification provides a list of all real 3-dimensional Lie algebras (up to isomorphism). The classification contains 11 classes, 9 of which contain a single Lie algebra and two of which contain a continuum-sized family of Lie algebras. (Sometimes two of the groups are included in the infi... |
https://en.wikipedia.org/wiki/Bernd%20Sturmfels | Bernd Sturmfels (born March 28, 1962 in Kassel, West Germany) is a Professor of Mathematics and Computer Science at the University of California, Berkeley and is a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017.
Education and career
He received his PhD in 1987 from the Unive... |
https://en.wikipedia.org/wiki/Paradoxical%20set | In set theory, a paradoxical set is a set that has a paradoxical decomposition. A paradoxical decomposition of a set is two families of disjoint subsets, along with appropriate group actions that act on some universe (of which the set in question is a subset), such that each partition can be mapped back onto the entire... |
https://en.wikipedia.org/wiki/Rhisiart%20ap%20Rhys | Rhisiart ap Rhys (fl. c. 1495 – c. 1510) was a Welsh-language poet from the cwmwd of Tir Iarll, Glamorgan.
He was the son of Rhys Brydydd and nephew, in all probability, to the poet Gwilym Tew. 36 of his poems are extant.
Bibliography
Eurys I. Roland (ed.), Gwaith Rhys Brydydd a Rhisiart ap Rhys (Cardiff, 1976)
Year... |
https://en.wikipedia.org/wiki/Full%20measure | Full measure or Full Measure may refer to:
"Full Measure" (Breaking Bad), a 2010 episode of Breaking Bad
Full measure (mathematics), a set whose complement is of measure zero
Full Measure (TV series), a 2015 series hosted by Sharyl Attkisson
Full Measure, a 1929 novel by Hans Otto Storm
"Full Measure", a 1966 song by ... |
https://en.wikipedia.org/wiki/Isomorphism%20%28disambiguation%29 | Isomorphism or isomorph may refer to:
Isomorphism, in mathematics, logic, philosophy, and information theory, a mapping that preserves the structure of the mapped entities, in particular:
Graph isomorphism a mapping that preserves the edges and vertices of a graph
Group isomorphism a mapping that preserves the grou... |
https://en.wikipedia.org/wiki/Tight%20span | In metric geometry, the metric envelope or tight span of a metric space M is an injective metric space into which M can be embedded. In some sense it consists of all points "between" the points of M, analogous to the convex hull of a point set in a Euclidean space. The tight span is also sometimes known as the injectiv... |
https://en.wikipedia.org/wiki/Nice%20name | In set theory, a nice name is used in forcing to impose an upper bound on the number of subsets in the generic model. It is used in the context of forcing to prove independence results in set theory such as Easton's theorem.
Formal definition
Let ZFC be transitive, a forcing notion in , and suppose is generic over... |
https://en.wikipedia.org/wiki/Selangau%20District | The Selangau District is a district in Sarawak, Malaysia.
History
Selangau was declared a district on 1 March 2002.
Demographics
According to the Department of Statistics Malaysia, Selangau has a population of 26,100.
References |
https://en.wikipedia.org/wiki/Singular%20distribution | In probability, a singular distribution is a probability distribution concentrated on a set of Lebesgue measure zero, where the probability of each point in that set is zero.
Other names
These distributions are sometimes called singular continuous distributions, since their cumulative distribution functions are singul... |
https://en.wikipedia.org/wiki/Distributive%20law%20between%20monads | In category theory, an abstract branch of mathematics, distributive laws between monads are a way to express abstractly that two algebraic structures distribute one over the other one.
Suppose that and are two monads on a category C. In general, there is no natural monad structure on the composite functor ST. Howe... |
https://en.wikipedia.org/wiki/Lipschitz%20domain | In mathematics, a Lipschitz domain (or domain with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regular" in the sense that it can be thought of as locally being the graph of a Lipschitz continuous function. The term is named after the German mathematician Rudolf Lipschitz.
Definit... |
https://en.wikipedia.org/wiki/Tetrated%20dodecahedron | In geometry, the tetrated dodecahedron is a near-miss Johnson solid. It was first discovered in 2002 by Alex Doskey. It was then independently rediscovered in 2003, and named, by Robert Austin.
It has 28 faces: twelve regular pentagons arranged in four panels of three pentagons each, four equilateral triangles (sho... |
https://en.wikipedia.org/wiki/Hexlet | Hexlet may refer to:
Soddy's hexlet, in geometry a chain of six spheres, each of which is tangent to both of its neighbors and also to three mutually tangent given spheres
Hexlet (computing), a group of 128 bits in computing
See also
Hextet |
https://en.wikipedia.org/wiki/Ross%E2%80%93Littlewood%20paradox | The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the paradoxical, or at least non-intuitive, nature of infinity. More specifically, like the Thomson's lamp paradox, the Ross–Littlewood ... |
https://en.wikipedia.org/wiki/Dual%20bundle | In mathematics, the dual bundle is an operation on vector bundles extending the operation of duality for vector spaces.
Definition
The dual bundle of a vector bundle is the vector bundle whose fibers are the dual spaces to the fibers of .
Equivalently, can be defined as the Hom bundle that is, the vector bundle ... |
https://en.wikipedia.org/wiki/Computer-based%20mathematics%20education | Computer-based mathematics education (CBME) is an approach to teaching mathematics that emphasizes the use of computers.
Computers in math education
Computers are used in education in a number of ways, such as interactive tutorials, hypermedia, simulations and educational games. Tutorials are types of software that p... |
https://en.wikipedia.org/wiki/Income%20in%20the%20United%20States |
Income in the United States is measured by the various federal agencies including the Internal Revenue Service, Bureau of Labor Statistics, US Department of Commerce, and the US Census Bureau. Additionally, various agencies, including the Congressional Budget Office compile reports on income statistics. The primary c... |
https://en.wikipedia.org/wiki/Grandi%27s%20series | In mathematics, the infinite series , also written
is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent series, meaning that it does not have a sum.
However, it can be manipulated to yield a numb... |
https://en.wikipedia.org/wiki/Pascal%20matrix | In mathematics, particularly matrix theory and combinatorics, a Pascal matrix is a matrix (possibly infinite) containing the binomial coefficients as its elements. It is thus an encoding of Pascal's triangle in matrix form. There are three natural ways to achieve this: as a lower-triangular matrix, an upper-triangular ... |
https://en.wikipedia.org/wiki/Combinatorial%20explosion | In mathematics, a combinatorial explosion is the rapid growth of the complexity of a problem due to how the combinatorics of the problem is affected by the input, constraints, and bounds of the problem. Combinatorial explosion is sometimes used to justify the intractability of certain problems. Examples of such problem... |
https://en.wikipedia.org/wiki/Smooth%20morphism | In algebraic geometry, a morphism between schemes is said to be smooth if
(i) it is locally of finite presentation
(ii) it is flat, and
(iii) for every geometric point the fiber is regular.
(iii) means that each geometric fiber of f is a nonsingular variety (if it is separated). Thus, intuitively speaking, a smooth ... |
https://en.wikipedia.org/wiki/Inter-rater%20reliability | In statistics, inter-rater reliability (also called by various similar names, such as inter-rater agreement, inter-rater concordance, inter-observer reliability, inter-coder reliability, and so on) is the degree of agreement among independent observers who rate, code, or assess the same phenomenon.
Assessment tools th... |
https://en.wikipedia.org/wiki/%C5%A0ar%C5%ABnas%20Raudys | Šarūnas Raudys is head of the Data Analysis Department at the Institute of Mathematics and Informatics in Vilnius, Lithuania. Within the department, he is guiding the data mining and artificial neural networks group. His group's research interests include multivariate analysis, statistical pattern recognition, artifici... |
https://en.wikipedia.org/wiki/Z-matrix%20%28mathematics%29 | In mathematics, the class of Z-matrices are those matrices whose off-diagonal entries are less than or equal to zero; that is, the matrices of the form:
Note that this definition coincides precisely with that of a negated Metzler matrix or quasipositive matrix, thus the term quasinegative matrix appears from time to t... |
https://en.wikipedia.org/wiki/Matrix%20equivalence | In linear algebra, two rectangular m-by-n matrices A and B are called equivalent if
for some invertible n-by-n matrix P and some invertible m-by-m matrix Q. Equivalent matrices represent the same linear transformation V → W under two different choices of a pair of bases of V and W, with P and Q being the change of ba... |
https://en.wikipedia.org/wiki/Bonferroni%20correction | In statistics, the Bonferroni correction is a method to counteract the multiple comparisons problem.
Background
The method is named for its use of the Bonferroni inequalities.
An extension of the method to confidence intervals was proposed by Olive Jean Dunn.
Statistical hypothesis testing is based on rejecting the n... |
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