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https://en.wikipedia.org/wiki/Fredholm | Fredholm is a Swedish surname. Notable people with the surname include:
Erik Ivar Fredholm (1866–1927), Swedish mathematician
Fredholm alternative, in mathematics
Fredholm determinant, in mathematics
Fredholm integral equation, in mathematics
Fredholm kernel, in mathematics
Fredholm module, In noncommutative geometry
... |
https://en.wikipedia.org/wiki/Theorem%20of%20the%20cube | In mathematics, the theorem of the cube is a condition for a line bundle over a product of three complete varieties to be trivial. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The final version of the theorem of the cube was first published by , who c... |
https://en.wikipedia.org/wiki/Absolute%20irreducibility | In mathematics, a multivariate polynomial defined over the rational numbers is absolutely irreducible if it is irreducible over the complex field. For example, is absolutely irreducible, but while is irreducible over the integers and the reals, it is reducible over the complex numbers as and thus not absolutely irr... |
https://en.wikipedia.org/wiki/Dual%20abelian%20variety | In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K.
Definition
To an abelian variety A over a field k, one associates a dual abelian variety Av (over the same field), which is the solution to the following moduli problem. A family of degree 0 line bundles parametriz... |
https://en.wikipedia.org/wiki/Tonelli%E2%80%93Hobson%20test | In mathematics, the Tonelli–Hobson test gives sufficient criteria for a function ƒ on R2 to be an integrable function. It is often used to establish that Fubini's theorem may be applied to ƒ. It is named for Leonida Tonelli and E. W. Hobson.
More precisely, the Tonelli–Hobson test states that if ƒ is a real-valued mea... |
https://en.wikipedia.org/wiki/Matrix%20pencil | In linear algebra, if are complex matrices for some nonnegative integer , and (the zero matrix), then the matrix pencil of degree is the matrix-valued function defined on the complex numbers
A particular case is a linear matrix pencil with where and are complex (or real) matrices. We denote it briefly with ... |
https://en.wikipedia.org/wiki/Hitting%20time | In the study of stochastic processes in mathematics, a hitting time (or first hit time) is the first time at which a given process "hits" a given subset of the state space. Exit times and return times are also examples of hitting times.
Definitions
Let be an ordered index set such as the natural numbers, the non-ne... |
https://en.wikipedia.org/wiki/Poincar%C3%A9%20residue | In mathematics, the Poincaré residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex function theory. It is just one of a number of such possible extensions.
Given a hypersurface defined by a degree polynomial and a rational -form on with a pole o... |
https://en.wikipedia.org/wiki/Casson%20invariant | In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson.
Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Chr... |
https://en.wikipedia.org/wiki/Don%20Orlich | Don Orlich is professor emeritus of the Science Mathematics Engineering Education Center at Washington State University. He has published more than 100 professional papers, co-authored more than 30 monographs and books, and is the senior co-author of “Teaching Strategies: A guide to Effective Teaching,” published by Ho... |
https://en.wikipedia.org/wiki/Kurtosis%20risk | In statistics and decision theory, kurtosis risk is the risk that results when a statistical model assumes the normal distribution, but is applied to observations that have a tendency to occasionally be much farther (in terms of number of standard deviations) from the average than is expected for a normal distribution.... |
https://en.wikipedia.org/wiki/Mediation%20%28statistics%29 | In statistics, a mediation model seeks to identify and explain the mechanism or process that underlies an observed relationship between an independent variable and a dependent variable via the inclusion of a third hypothetical variable, known as a mediator variable (also a mediating variable, intermediary variable, or ... |
https://en.wikipedia.org/wiki/Mikhail%20Goussarov | Mikhail Goussarov (March 8, 1958, Leningrad – June 25, 1999, Tel Aviv) was a Soviet mathematician who worked in low-dimensional topology. He and Victor Vassiliev independently discovered finite type invariants of knots and links. He drowned at the age of 41 in an accident in Tel Aviv, Israel.
See also
Memorial page... |
https://en.wikipedia.org/wiki/Christopher%20Knight%20%28author%29 | Christopher Knight is an author who has written several books dealing with pseudoscientific conspiracy theories such as 366-degree geometry and the origins of Freemasonry.
In an interview about the book Who Built the Moon?: 2005 Knight stated that the moon is an artificial construction probably built by humans with a ... |
https://en.wikipedia.org/wiki/Jeremiah%20Farrell | Jeremiah (Jerry) Farrell (December 12, 1937, in Hastings, Nebraska – July 4, 2022, in Indianapolis, Indiana) was an American professor emeritus of mathematics at Butler University in Indiana. He was well known for having constructed Will Shortz's favorite puzzle, the famous 1996 "Election Day" crossword in The New York... |
https://en.wikipedia.org/wiki/Centrosymmetric%20matrix | In mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. More precisely, an n×n matrix A = [Ai,j] is centrosymmetric when its entries satisfy
Ai,j = An−i + 1,n−j + 1 for i, j ∊{1, ..., n}.
If J denotes the n×n exchange matrix with 1 on t... |
https://en.wikipedia.org/wiki/Contributions%20of%20Leonhard%20Euler%20to%20mathematics | The Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field. His seminal work had a profound impact in numerous areas of mathematics and he is widely credited for introducing and popularizing modern notation and terminology.
Mathematical notat... |
https://en.wikipedia.org/wiki/Kolmogorov%20continuity%20theorem | In mathematics, the Kolmogorov continuity theorem is a theorem that guarantees that a stochastic process that satisfies certain constraints on the moments of its increments will be continuous (or, more precisely, have a "continuous version"). It is credited to the Soviet mathematician Andrey Nikolaevich Kolmogorov.
St... |
https://en.wikipedia.org/wiki/Mathland | MathLand was one of several elementary mathematics curricula that were designed around the 1989 NCTM standards. It was developed and published by Creative Publications and was initially adopted by the U.S. state of California and schools run by the US Department of Defense by the mid 1990s. Unlike curricula such as Inv... |
https://en.wikipedia.org/wiki/Omnitruncation | In geometry, an omnitruncation of a convex polytope is a simple polytope of the same dimension, having a vertex for each flag of the original polytope and a facet for each face of any dimension of the original polytope. Omnitruncation is the dual operation to barycentric subdivision. Because the barycentric subdivision... |
https://en.wikipedia.org/wiki/Oswald%20Veblen%20Prize%20in%20Geometry |
The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was funded in 1961 in memory of Oswald Veblen and first issued in 1964. The Veblen Prize is now worth US$5000, and is awarded every three years.
The first seven prize winner... |
https://en.wikipedia.org/wiki/Hyman%20Bass | Hyman Bass (; born October 5, 1932) is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998 he was Professor in the Mathematics Department at Columbia University. He is currently the Samuel Eilenberg Distinguished University Professor of Mathematics and Professor of Mathe... |
https://en.wikipedia.org/wiki/Inverse%20image%20functor | In mathematics, specifically in algebraic topology and algebraic geometry, an inverse image functor is a contravariant construction of sheaves; here “contravariant” in the sense given a map , the inverse image functor is a functor from the category of sheaves on Y to the category of sheaves on X. The direct image func... |
https://en.wikipedia.org/wiki/Star%20polyhedron | In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.
There are two general kinds of star polyhedron:
Polyhedra which self-intersect in a repetitive way.
Concave polyhedra of a particular kind which alternate convex and concave or saddle ... |
https://en.wikipedia.org/wiki/Converse | Converse may refer to:
Mathematics and logic
Converse (logic), the result of reversing the two parts of a definite or implicational statement
Converse implication, the converse of a material implication
Converse nonimplication, a logical connective which is the negation of the converse implication
Converse (semant... |
https://en.wikipedia.org/wiki/Abel%27s%20test | In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after mathematician Niels Henrik Abel. There are two slightly different versions of Abel's test – one is used with series of real numbers, and the other is used with power ser... |
https://en.wikipedia.org/wiki/Ar%C5%ABnas%20Matelis | Arūnas Matelis (born 9 April 1961, in Kaunas) is a Lithuanian documentary film director. From 1979 till 1983 Arūnas Matelis studied Mathematics at Vilnius University and later in 1989 graduated from the Lithuanian Music Academy. In 1992, he established one of the first independent film production companies in Lithuania... |
https://en.wikipedia.org/wiki/Soviet%20Union%20men%27s%20national%20handball%20team | The USSR national handball team was the national handball team of the Soviet Union.
World Championships Record
Summer Olympics Record
Player statistics
Most appearances
100+
Top scorers
250+
National teams of the former Soviet republics
See also
Soviet Union women's national handball team
Russia men's national h... |
https://en.wikipedia.org/wiki/Zappa%E2%80%93Sz%C3%A9p%20product | In mathematics, especially group theory, the Zappa–Szép product (also known as the Zappa–Rédei–Szép product, general product, knit product, exact factorization or bicrossed product) describes a way in which a group can be constructed from two subgroups. It is a generalization of the direct and semidirect products. It ... |
https://en.wikipedia.org/wiki/Feodor%20Deahna | Heinrich Wilhelm Feodor Deahna (8 July 1815 – 8 January 1844) was a German mathematician.
He is known for providing proof of what is now known as Frobenius theorem in differential topology, which he published in Crelle's Journal in 1840.
Deahna was born near Bayreuth on July 8, 1815, and was a student at the Universit... |
https://en.wikipedia.org/wiki/Gysin%20homomorphism | In the field of mathematics known as algebraic topology, the Gysin sequence is a long exact sequence which relates the cohomology classes of the base space, the fiber and the total space of a sphere bundle. The Gysin sequence is a useful tool for calculating the cohomology rings given the Euler class of the sphere bun... |
https://en.wikipedia.org/wiki/John%20Ockendon | Professor John Richard Ockendon FRS (born c. 1940) is an applied mathematician noted especially for his contribution to fluid dynamics and novel applications of mathematics to real world problems. He is a professor at the University of Oxford and an Emeritus Fellow at St Catherine's College, Oxford, the first director... |
https://en.wikipedia.org/wiki/Structure%20tensor | In mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function. It describes the distribution of the gradient in a specified neighborhood around a point and makes the information invariant respect the observing coordinates. The structure tensor is... |
https://en.wikipedia.org/wiki/Ruth%20Aaronson%20Bari | Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and algebraic homomorphisms. She was a professor at George Washington University, beginning in 1966.
Career
The daughter of Polish-Jewish immigrants to the United States, Ruth Aaronson was born Nov... |
https://en.wikipedia.org/wiki/Dorothy%20Lewis%20Bernstein | Dorothy Lewis Bernstein (April 11, 1914 – February 5, 1988) was an American mathematician known for her work in applied mathematics, statistics, computer programming, and her research on the Laplace transform. She was the first woman to be elected president of the Mathematics Association of America.
Early life
Bernst... |
https://en.wikipedia.org/wiki/Lutz%E2%80%93Kelker%20bias | The Lutz–Kelker bias is a supposed systematic bias that results from the assumption that the probability of a star being at distance increases with the square of the distance which is equivalent to the assumption that the distribution of stars in space is uniform. In particular, it causes measured parallaxes to stars ... |
https://en.wikipedia.org/wiki/Kanti%20Mardia | Kantilal Vardichand "Kanti" Mardia (born 1935) is an Indian-British statistician specialising in directional statistics, multivariate analysis, geostatistics, statistical bioinformatics and statistical shape analysis. He was born in Sirohi, Rajasthan, India in a Jain family and now resides and works in Leeds. He is kn... |
https://en.wikipedia.org/wiki/Andrei%20Suslin | Andrei Suslin (, sometimes transliterated Souslin) was a Russian mathematician who contributed to algebraic K-theory and its connections with algebraic geometry. He was a Trustee Chair and Professor of mathematics at Northwestern University.
He was born on 27 December 1950 in St. Petersburg, Russia. As a youth, he ... |
https://en.wikipedia.org/wiki/Wick%20product | In probability theory, the Wick product is a particular way of defining an adjusted product of a set of random variables. In the lowest order product the adjustment corresponds to subtracting off the mean value, to leave a result whose mean is zero. For the higher order products the adjustment involves subtracting off ... |
https://en.wikipedia.org/wiki/Henry%20Tamburin | Henry Tamburin (born 1944) is a gambling author with a background in mathematics and a doctorate in chemistry. He is best known for his book Blackjack: Take the Money and Run which explains basic blackjack strategy, managing a bankroll, side bets and advanced tactics like card counting.
Tamburin is also well known for... |
https://en.wikipedia.org/wiki/Hall%27s%20conjecture | In mathematics, Hall's conjecture is an open question, , on the differences between perfect squares and perfect cubes. It asserts that a perfect square y2 and a perfect cube x3 that are not equal must lie a substantial distance apart. This question arose from consideration of the Mordell equation in the theory of integ... |
https://en.wikipedia.org/wiki/Norwegian%20statistics%20by%20ethnic%20group | The following selected statistics about ethnic groups living in Norway have been extracted from the results of the Norwegian census.
Average income for couples with children
Listed in Norwegian kroner
Home ownership percentage
Percentages that have been given penalty from Norwegian court
Percentage of people under... |
https://en.wikipedia.org/wiki/Urban%20cluster%20%28France%29 | In France, a pôle urbain (English: urban cluster) is a statistical area defined by INSEE (France's national statistics office) for the measurement of contiguously built-up areas. It shares the same definition as an unité urbaine ("urban unit"), except that a pôle urbain is not contained within the couronne ("commuter b... |
https://en.wikipedia.org/wiki/Exponent%20%28disambiguation%29 | Exponentiation is a mathematical operation.
Exponent may also refer to:
Mathematics
List of exponential topics
Exponential function, a function of a certain form
Matrix exponential, a matrix function on square matrices
The least common multiple of a periodic group
Statistics
Exponential distribution, a probab... |
https://en.wikipedia.org/wiki/Robert%20Boyer | Robert Boyer may refer to:
Robert S. Boyer, professor of computer science, mathematics, and philosophy
See List of Charles Whitman's victims for Robert Hamilton Boyer, professor killed at The University of Texas in 1966
Robert Boyer (artist) (1948–2004), Canadian artist of aboriginal heritage
Robert Boyer (chemist) (1... |
https://en.wikipedia.org/wiki/Wedderburn%27s%20little%20theorem | In mathematics, Wedderburn's little theorem states that every finite division ring is a field. In other words, for finite rings, there is no distinction between domains, division rings and fields.
The Artin–Zorn theorem generalizes the theorem to alternative rings: every finite alternative division ring is a field.
H... |
https://en.wikipedia.org/wiki/Symbolic | Symbolic may refer to:
Symbol, something that represents an idea, a process, or a physical entity
Mathematics, logic, and computing
Symbolic computation, a scientific area concerned with computing with mathematical formulas
Symbolic dynamics, a method for modeling dynamical systems by a discrete space consisting o... |
https://en.wikipedia.org/wiki/Commutation%20matrix | In mathematics, especially in linear algebra and matrix theory, the commutation matrix is used for transforming the vectorized form of a matrix into the vectorized form of its transpose. Specifically, the commutation matrix K(m,n) is the nm × mn matrix which, for any m × n matrix A, transforms vec(A) into vec(AT):
K(m,... |
https://en.wikipedia.org/wiki/List%20of%20Torquay%20United%20F.C.%20records%20and%20statistics | Torquay United Football Club is an English professional association football club based in Torquay, Devon. This list details the major honours and achievements won by Torquay United as well as records set by the club, the players and the managers.
Honours and achievements
Torquay United won their first honour in 1909... |
https://en.wikipedia.org/wiki/Duplication%20and%20elimination%20matrices | In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half-vectorizations of matrices into vectorizations or (respectively) vice versa.
Duplication matrix
The duplication matrix is the unique matrix which, fo... |
https://en.wikipedia.org/wiki/Vectorization%20%28mathematics%29 | In mathematics, especially in linear algebra and matrix theory, the vectorization of a matrix is a linear transformation which converts the matrix into a vector. Specifically, the vectorization of a matrix A, denoted vec(A), is the column vector obtained by stacking the columns of the matrix A on top of one another:
... |
https://en.wikipedia.org/wiki/Subdivisions%20of%20Brazil | Brazil is divided into several types and levels of subdivisions.
Regions
Since 1942, the Brazilian Institute of Geography and Statistics has divided Brazil into five geographic regions. On 23 November 1970, the regions of Brazil were adjusted slightly to the definition that is still in use today. The division into re... |
https://en.wikipedia.org/wiki/Euler%E2%80%93Maruyama%20method | In Itô calculus, the Euler–Maruyama method (also called the Euler method) is a method for the approximate numerical solution of a stochastic differential equation (SDE). It is an extension of the Euler method for ordinary differential equations to stochastic differential equations. It is named after Leonhard Euler and ... |
https://en.wikipedia.org/wiki/Milstein%20method | In mathematics, the Milstein method is a technique for the approximate numerical solution of a stochastic differential equation. It is named after Grigori N. Milstein who first published it in 1974.
Description
Consider the autonomous Itō stochastic differential equation:
with initial condition , where stands for th... |
https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta%20method%20%28SDE%29 | In mathematics of stochastic systems, the Runge–Kutta method is a technique for the approximate numerical solution of a stochastic differential equation. It is a generalisation of the Runge–Kutta method for ordinary differential equations to stochastic differential equations (SDEs). Importantly, the method does not in... |
https://en.wikipedia.org/wiki/List%20of%20Queens%20Park%20Rangers%20F.C.%20records%20and%20statistics | This article lists records and statistics relating to the English football club Queens Park Rangers.
Team records
Record Football League win: 9–2 v Tranmere Rovers, Football League Division Three (3 December 1960)
Record Winning margin: 8-0 v Merthyr Tydfil, Football League Division Three South (9 March 1929)
Queen's ... |
https://en.wikipedia.org/wiki/Absolutely%20integrable%20function | In mathematics, an absolutely integrable function is a function whose absolute value is integrable, meaning that the integral of the absolute value over the whole domain is finite.
For a real-valued function, since
where
both and must be finite. In Lebesgue integration, this is exactly the requirement for any meas... |
https://en.wikipedia.org/wiki/Aspherical%20space | In topology, a branch of mathematics, an aspherical space is a topological space with all homotopy groups equal to 0 when .
If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is contractible. Indeed, contractibility of a universal cover i... |
https://en.wikipedia.org/wiki/Differential%20calculus%20over%20commutative%20algebras | In mathematics the differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known from classical differential calculus can be formulated in purely algebraic terms. Instances of this are:
The whole topological information of a smooth manifold is encod... |
https://en.wikipedia.org/wiki/Ptolemy%27s%20inequality | In Euclidean geometry, Ptolemy's inequality relates the six distances determined by four points in the plane or in a higher-dimensional space. It states that, for any four points , , , and , the following inequality holds:
It is named after the Greek astronomer and mathematician Ptolemy.
The four points can be ordere... |
https://en.wikipedia.org/wiki/Factorization%20system | In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory.
Definition
A factorization system (E, M) for a category C consists of two classes of morphism... |
https://en.wikipedia.org/wiki/Generalized%20dihedral%20group | In mathematics, the generalized dihedral groups are a family of groups with algebraic structures similar to that of the dihedral groups. They include the finite dihedral groups, the infinite dihedral group, and the orthogonal group O(2). Dihedral groups play an important role in group theory, geometry, and chemistry.
... |
https://en.wikipedia.org/wiki/Divorce%20demography |
Estimates of annual divorces by country
The following are the countries with the most annual divorces according to the United Nations in 2009.
Divorce statistics by country/region (per 1,000 population / year)
Metrics / statistics
Crude divorce rate
This is divorces per 1,000 population per year. For example, i... |
https://en.wikipedia.org/wiki/Peter%20M.%20Neumann | Peter Michael Neumann OBE (28 December 1940 – 18 December 2020) was a British mathematician. His fields of interest included the history of mathematics and Galois theory.
Biography
Born in December 1940, Neumann was a son of the German-born mathematicians Bernhard Neumann and Hanna Neumann. He gained a BA degree from... |
https://en.wikipedia.org/wiki/Dagger%20category | In category theory, a branch of mathematics, a dagger category (also called involutive category or category with involution) is a category equipped with a certain structure called dagger or involution. The name dagger category was coined by Peter Selinger.
Formal definition
A dagger category is a category equipped... |
https://en.wikipedia.org/wiki/Addison-Wesley%20Secondary%20Math%3A%20An%20Integrated%20Approach%3A%20Focus%20on%20Algebra | Focus on Algebra was the widely cited 812-page-long algebra textbook which contained significant content outside the traditional field of mathematics. The real-life context, intended to make mathematics more relevant, included chili recipes, ancient myths, and photographs of famous people.
Although it was a widely use... |
https://en.wikipedia.org/wiki/Dagger%20compact%20category | In category theory, a branch of mathematics, dagger compact categories (or dagger compact closed categories) first appeared in 1989 in the work of Sergio Doplicher and John E. Roberts on the reconstruction of compact topological groups from their category of finite-dimensional continuous unitary representations (that ... |
https://en.wikipedia.org/wiki/Algebraically%20closed%20group | In group theory, a group is algebraically closed if any finite set of equations and inequations that are applicable to have a solution in without needing a group extension. This notion will be made precise later in the article in .
Informal discussion
Suppose we wished to find an element of a group satisfying th... |
https://en.wikipedia.org/wiki/Unit%20distance%20graph | In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between them is exactly one. To distinguish these graphs from a broader definition that allows some non-adjacent pairs of vertice... |
https://en.wikipedia.org/wiki/F-ratio | F-ratio or f-ratio may refer to:
The F-ratio used in statistics, which relates the variances of independent samples; see F-distribution
f-ratio (oceanography), which relates recycled and total primary production in the surface ocean
f-number, f-ratio, or focal ratio, the ratio of the focal length of an optical syst... |
https://en.wikipedia.org/wiki/Instancing | Instancing may refer to:
Geometry instancing, a technique used in realtime rendering
Dungeon instancing, a technique used in online games to provide individual players or groups of players with their own instance of some sort of content at the same time
See also
Instantiation (disambiguation) |
https://en.wikipedia.org/wiki/Fisher%27s%20method | In statistics, Fisher's method, also known as Fisher's combined probability test, is a technique for data fusion or "meta-analysis" (analysis of analyses). It was developed by and named for Ronald Fisher. In its basic form, it is used to combine the results from several independence tests bearing upon the same overal... |
https://en.wikipedia.org/wiki/Topological%20censorship | The topological censorship theorem (if valid) states that general relativity does not allow an observer to probe the topology of spacetime: any topological structure collapses too quickly to allow light to traverse it. More precisely, in a globally hyperbolic, asymptotically flat spacetime satisfying the null energy co... |
https://en.wikipedia.org/wiki/Nascimento%20%28surname%29 | Nascimento or do Nascimento (, meaning birth) is a common Portuguese surname that refers to the birth of Jesus Christ.
It may also originate from the Dutch surname Nassau.
Statistics
In 2004, about 0.39% of the Portuguese population bore the surname Nascimento.
According to Forebears.io, Nascimento is the 571st mos... |
https://en.wikipedia.org/wiki/Absolute%20presentation%20of%20a%20group | In mathematics, an absolute presentation is one method of defining a group.
Recall that to define a group by means of a presentation, one specifies a set of generators so that every element of the group can be written as a product of some of these generators, and a set of relations among those generators. In symbol... |
https://en.wikipedia.org/wiki/Truncated%20distribution | In statistics, a truncated distribution is a conditional distribution that results from restricting the domain of some other probability distribution. Truncated distributions arise in practical statistics in cases where the ability to record, or even to know about, occurrences is limited to values which lie above or be... |
https://en.wikipedia.org/wiki/Spurious | Spurious may refer to:
Spurious relationship in statistics
Spurious emission or spurious tone in radio engineering
Spurious key in cryptography
Spurious interrupt in computing
Spurious wakeup in computing
Spurious, a 2011 novel by Lars Iyer |
https://en.wikipedia.org/wiki/Borel%20conjecture | In mathematics, specifically geometric topology, the Borel conjecture (named for Armand Borel) asserts that an aspherical closed manifold is determined by its fundamental group, up to homeomorphism. It is a rigidity conjecture, asserting that a weak, algebraic notion of equivalence (namely, homotopy equivalence) shoul... |
https://en.wikipedia.org/wiki/Los%20Angeles%20Rams%20statistics | This page details statistics about the Los Angeles Rams American football franchise, formerly the St. Louis Rams and the Cleveland Rams.
Franchise firsts
First NFL game – A 28–0 loss to the Detroit Lions, 9/10/37.
First NFL win – A 21–3 victory over the Philadelphia Eagles, 9/17/37.
First winning season – 1945 (9–1).
... |
https://en.wikipedia.org/wiki/Wide%20chord | Wide chord fan refers to the fan blades on a modern turbofan jet engine having a ducted fan with a specific blade geometry - In layman's terms, they would be described as having wider blades than other jet engines. The technology was pioneered by Geoff Wilde at Rolls-Royce in the 1970s.
Overview
The main fan on a jet... |
https://en.wikipedia.org/wiki/2005%20World%20Series%20of%20Poker%20results | This list of 2005 World Series of Poker (WSOP) results includes statistics, final table results and payouts.
Results
Event 1: $500 Casino Employee's No Limit Hold'em
June 2, 2005
This event kicked off the 2005 WSOP. It was a $500 buy-in no limit Texas hold 'em tournament reserved for casino employees that work in N... |
https://en.wikipedia.org/wiki/5-cube | In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
It is represented by Schläfli symbol {4,3,3,3} or {4,33}, constructed as 3 tesseracts, {4,3,3}, around each cubic ridge. It can be called a penteract... |
https://en.wikipedia.org/wiki/Primary%20pseudoperfect%20number | In mathematics, and particularly in number theory, N is a primary pseudoperfect number if it satisfies the Egyptian fraction equation
where the sum is over only the prime divisors of N.
Properties
Equivalently, N is a primary pseudoperfect number if it satisfies
Except for the primary pseudoperfect number N = 2, th... |
https://en.wikipedia.org/wiki/Cahen%27s%20constant | In mathematics, Cahen's constant is defined as the value of an infinite series of unit fractions with alternating signs:
Here denotes Sylvester's sequence, which is defined recursively by
Combining these fractions in pairs leads to an alternative expansion of Cahen's constant as a series of positive unit fractions... |
https://en.wikipedia.org/wiki/Bureau%20of%20Justice%20Statistics | The Bureau of Justice Statistics (UJC) of the U.S. Department of Justice is the principal federal agency responsible for measuring crime, criminal victimization, criminal offenders, victims of crime, correlates of crime, and the operation of criminal and civil justice systems at the federal, state, tribal, and local le... |
https://en.wikipedia.org/wiki/Category%20of%20finite-dimensional%20Hilbert%20spaces | In mathematics, the category FdHilb has all finite-dimensional Hilbert spaces for objects and the linear transformations between them as morphisms. Whereas the theory described by the normal category of Hilbert spaces, Hilb, is ordinary quantum mechanics, the corresponding theory on finite dimensional Hilbert spaces is... |
https://en.wikipedia.org/wiki/Uniform%20topology | In mathematics, the uniform topology on a space may mean:
In functional analysis, it sometimes refers to a polar topology on a topological vector space.
In general topology, it is the topology carried by a uniform space.
In real analysis, it is the topology of uniform convergence. |
https://en.wikipedia.org/wiki/Uniformly%20Cauchy%20sequence | In mathematics, a sequence of functions from a set S to a metric space M is said to be uniformly Cauchy if:
For all , there exists such that for all : whenever .
Another way of saying this is that as , where the uniform distance between two functions is defined by
Convergence criteria
A sequence of functions ... |
https://en.wikipedia.org/wiki/5-demicube | In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
It was discovered by Thorold Gosset. Since it was the only semiregular 5-polytope (made of more than one type of regular facets), he called it a 5-ic sem... |
https://en.wikipedia.org/wiki/Facet%20%28geometry%29 | In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself. More specifically:
In three-dimensional geometry, a facet of a polyhedron is any polygon whose corners are vertices of the polyhedron, and is not a face. To facet a po... |
https://en.wikipedia.org/wiki/Grace%20Wahba | Grace Goldsmith Wahba (born August 3, 1934) is an American statistician and retired I. J. Schoenberg-Hilldale Professor of Statistics at the University of Wisconsin–Madison. She is a pioneer in methods for smoothing noisy data. Best known for the development of generalized cross-validation and "Wahba's problem", she ha... |
https://en.wikipedia.org/wiki/Optimal%20stopping | In mathematics, the theory of optimal stopping or early stopping is concerned with the problem of choosing a time to take a particular action, in order to maximise an expected reward or minimise an expected cost. Optimal stopping problems can be found in areas of statistics, economics, and mathematical finance (related... |
https://en.wikipedia.org/wiki/Verdier%20duality | In mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced in 1965 by as an analog for locally compact topological spaces of
Alexander Grothendieck's theory of
Poincaré duality in étale cohomology
for schemes in alge... |
https://en.wikipedia.org/wiki/Demographics%20of%20Belgrade | Belgrade is the capital and largest city of Serbia.
Ethnicity
Source: Bureau of Statistics of Republic of Serbia, Census 2011
Religion
Source: Bureau of Statistics of Republic of Serbia, Census 2011
References
Geography of Belgrade
Belgrade
Belgrade |
https://en.wikipedia.org/wiki/Hirzebruch%20signature%20theorem | In differential topology, an area of mathematics, the Hirzebruch signature theorem (sometimes called the Hirzebruch index theorem)
is Friedrich Hirzebruch's 1954 result expressing the signature
of a smooth closed oriented manifold by a linear combination of Pontryagin numbers called the
L-genus.
It was used in the proo... |
https://en.wikipedia.org/wiki/Bruss | Bruss may refer to:
Brös an alternate spelling of a preparation of cheese and grappa
Franz Thomas Bruss, a Belgian-German professor of mathematics at the Université Libre de Bruxelles
Logan Bruss (born 1999), American football player
Robert Bruss, a real estate attorney and syndicated columnist known as "the Dear Abby... |
https://en.wikipedia.org/wiki/Theta%20characteristic | In mathematics, a theta characteristic of a non-singular algebraic curve C is a divisor class Θ such that 2Θ is the canonical class. In terms of holomorphic line bundles L on a connected compact Riemann surface, it is therefore L such that L2 is the canonical bundle, here also equivalently the holomorphic cotangent bun... |
https://en.wikipedia.org/wiki/Configuration%20%28geometry%29 | In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such that each point is incident to the same number of lines and each line is incident to the same number of points.
Although certain specific configurations had been st... |
https://en.wikipedia.org/wiki/Schlegel%20diagram | In geometry, a Schlegel diagram is a projection of a polytope from into through a point just outside one of its facets. The resulting entity is a polytopal subdivision of the facet in that, together with the original facet, is combinatorially equivalent to the original polytope. The diagram is named for Victor Schle... |
https://en.wikipedia.org/wiki/H.%20F.%20Baker | Henry Frederick Baker FRS FRSE (3 July 1866 – 17 March 1956) was a British mathematician, working mainly in algebraic geometry, but also remembered for contributions to partial differential equations (related to what would become known as solitons), and Lie groups.
Early life
He was born in Cambridge the son of Henry... |
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