source
stringlengths
31
168
text
stringlengths
51
3k
https://en.wikipedia.org/wiki/B%C3%A9la%20Ker%C3%A9kj%C3%A1rt%C3%B3
Béla Kerékjártó (1 October 1898, in Budapest – 26 June 1946, in Gyöngyös) was a Hungarian mathematician who wrote numerous articles on topology. Kerékjártó earned his Ph.D. degree from the University of Budapest in 1920. He taught at the Faculty of Sciences of the University of Szeged starting in 1922. In 1921 he intr...
https://en.wikipedia.org/wiki/Equating%20coefficients
In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term. The ...
https://en.wikipedia.org/wiki/Geodesic%20manifold
In mathematics, a complete manifold (or geodesically complete manifold) is a (pseudo-) Riemannian manifold for which, starting at any point , you can follow a "straight" line indefinitely along any direction. More formally, the exponential map at point , is defined on , the entire tangent space at . Equivalently, co...
https://en.wikipedia.org/wiki/Core-Plus%20Mathematics%20Project
Core-Plus Mathematics is a high school mathematics program consisting of a four-year series of print and digital student textbooks and supporting materials for teachers, developed by the Core-Plus Mathematics Project (CPMP) at Western Michigan University, with funding from the National Science Foundation. Development o...
https://en.wikipedia.org/wiki/Mathematically%20Correct
Mathematically Correct was a U.S.-based website created by educators, parents, mathematicians, and scientists who were concerned about the direction of reform mathematics curricula based on NCTM standards. Created in 1997, it was a frequently cited website in the so-called Math wars, and was actively updated until 2003...
https://en.wikipedia.org/wiki/P.%20A.%20P.%20Moran
Patrick Alfred Pierce Moran FRS (14 July 1917 – 19 September 1988) was an Australian statistician who made significant contributions to probability theory and its application to population and evolutionary genetics. Early years Patrick Moran was born in Sydney and was the only child of Herbert Michael Moran (b. 1885 ...
https://en.wikipedia.org/wiki/Traditional%20mathematics
Traditional mathematics (sometimes classical math education) was the predominant method of mathematics education in the United States in the early-to-mid 20th century. This contrasts with non-traditional approaches to math education. Traditional mathematics education has been challenged by several reform movements over...
https://en.wikipedia.org/wiki/Investigations%20in%20Numbers%2C%20Data%2C%20and%20Space
Investigations in Numbers, Data, and Space is a K–5 mathematics curriculum, developed at TERC in Cambridge, Massachusetts, United States. The curriculum is often referred to as Investigations or simply TERC. Patterned after the NCTM standards for mathematics, it is among the most widely used of the new reform mathemati...
https://en.wikipedia.org/wiki/The%20Analyst%2C%20or%2C%20Mathematical%20Museum
The Analyst, or, Mathematical Museum was an early American mathematics journal. Founded by Robert Adrain in 1808, it published one volume of four issues that year before discontinuing publication. Despite its extremely short life, it published papers by several notable mathematicians in the nascent American mathemati...
https://en.wikipedia.org/wiki/John%20Wood%20%28Kent%20cricketer%2C%20born%201745%29
John Wood (1745 – July 1816 at Seal, Kent) was an English cricketer who played for Kent. His career began in the 1760s before first-class statistics began to be recorded and his known first-class career spans the 1772 to 1783 seasons. He has often been confused with his namesake who played for Surrey at the same time...
https://en.wikipedia.org/wiki/Vertical%20line%20test
In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, th...
https://en.wikipedia.org/wiki/Bootstrapping%20%28statistics%29
Bootstrapping is any test or metric that uses random sampling with replacement (e.g. mimicking the sampling process), and falls under the broader class of resampling methods. Bootstrapping assigns measures of accuracy (bias, variance, confidence intervals, prediction error, etc.) to sample estimates. This technique all...
https://en.wikipedia.org/wiki/Vertex%20normal
In the geometry of computer graphics, a vertex normal at a vertex of a polyhedron is a directional vector associated with a vertex, intended as a replacement to the true geometric normal of the surface. Commonly, it is computed as the normalized average of the surface normals of the faces that contain that vertex. The ...
https://en.wikipedia.org/wiki/2001%E2%80%9302%20in%20Portuguese%20football
List of Portuguese football statistics for the 2001 to 2002 Season. Primeira Liga References Portuguese League Association website Seasons in Portuguese football
https://en.wikipedia.org/wiki/Compu-Math%20series
The Compu-Math series are mathematics tutorials developed and published by Edu-Ware Services in the 1980s. Each program in the Compu-Math series begins with a diagnostic Pre-Test, which presents learners with mathematics problems to determine their current skill level in the subject and then recommends the appropriate...
https://en.wikipedia.org/wiki/Feller%20process
In probability theory relating to stochastic processes, a Feller process is a particular kind of Markov process. Definitions Let X be a locally compact Hausdorff space with a countable base. Let C0(X) denote the space of all real-valued continuous functions on X that vanish at infinity, equipped with the sup-norm ||f...
https://en.wikipedia.org/wiki/Clifford%20Taubes
Clifford Henry Taubes (born February 21, 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes. Early career Taubes received his PhD in physics in 1980 under the direct...
https://en.wikipedia.org/wiki/Concept%20mining
Concept mining is an activity that results in the extraction of concepts from artifacts. Solutions to the task typically involve aspects of artificial intelligence and statistics, such as data mining and text mining. Because artifacts are typically a loosely structured sequence of words and other symbols (rather than c...
https://en.wikipedia.org/wiki/Secondary%20calculus%20and%20cohomological%20physics
In mathematics, secondary calculus is a proposed expansion of classical differential calculus on manifolds, to the "space" of solutions of a (nonlinear) partial differential equation. It is a sophisticated theory at the level of jet spaces and employing algebraic methods. Secondary calculus Secondary calculus acts o...
https://en.wikipedia.org/wiki/Paley%20construction
In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the English mathematician Raymond Paley. The Paley construction uses quadratic residues in a finite field GF(q) where q is a power of an odd prime number. There are two...
https://en.wikipedia.org/wiki/David%20Klein%20%28mathematician%29
David Klein is a professor of Mathematics at California State University in Northridge. He is an advocate of increasingly rigorous treatment of mathematics in school curricula and a frequently cited opponent of reforms based on the NCTM standards. One of the participants in the founding of Mathematically Correct, Klein...
https://en.wikipedia.org/wiki/Claude%20Meisch
Claude Meisch (born 27 November 1971, in Pétange) is a Luxembourg politician with a degree in financial mathematics from Trier university. Meisch was appointed Minister of Education in 2013 in the government of Xavier Bettel. He has been a member of the Chamber of Deputies from 1999 to 2013 and Mayor of Differdange sin...
https://en.wikipedia.org/wiki/Mansfield%20Ski%20Club
Mansfield Ski Club is a ski resort near the village of Mansfield, Ontario, northwest of Toronto, Ontario, Canada. Statistics Vertical drop: Number of runs: 15 Number of lifts: 7 Snowmaking coverage: 100% Number of eateries: 4 Number of bars: 2 Lifts Handle Tow Chalet Magic Carpet (longest in North America) Javeli...
https://en.wikipedia.org/wiki/NCHS
NCHS may refer to: National Center for Health Statistics, a center of the US Centers for Disease Control and Prevention (CDC) Nan Chiau High School, Singapore Naperville Central High School Natrona County High School in Casper, Wyoming Nebraska City High School in Nebraska City, Nebraska New Canaan High School i...
https://en.wikipedia.org/wiki/Konstantin%20Andreev
Konstantin Alekseevich Andreev (14 March 1848 – 29 October 1921) was a Russian mathematician, best known for his work on geometry, especially projective geometry. He was one of the founders of the Kharkov Mathematical Society. This society is one of the early mathematics societies in Russia and was founded in 1879. An...
https://en.wikipedia.org/wiki/Algebraic%20Geometry%20%28book%29
Algebraic Geometry is an algebraic geometry textbook written by Robin Hartshorne and published by Springer-Verlag in 1977. Importance It was the first extended treatment of scheme theory written as a text intended to be accessible to graduate students. Contents The first chapter, titled "Varieties", deals with the cl...
https://en.wikipedia.org/wiki/Tight%20closure
In mathematics, in the area of commutative algebra, tight closure is an operation defined on ideals in positive characteristic. It was introduced by . Let be a commutative noetherian ring containing a field of characteristic . Hence is a prime number. Let be an ideal of . The tight closure of , denoted by , is an...
https://en.wikipedia.org/wiki/Ivan%20%C5%BDivanovi%C4%87%20%28footballer%2C%20born%201981%29
Ivan Živanović (; born 10 December 1981) is a Serbian former football defender. Živanović made one appearance in the Coppa Italia while playing for Sampdoria in the 2006–07 season. Career statistics External links 1981 births Living people Footballers from Šabac Serbian men's footballers Serbian expatriate men's...
https://en.wikipedia.org/wiki/Sigma-ring
In mathematics, a nonempty collection of sets is called a -ring (pronounced sigma-ring) if it is closed under countable union and relative complementation. Formal definition Let be a nonempty collection of sets. Then is a -ring if: Closed under countable unions: if for all Closed under relative complementatio...
https://en.wikipedia.org/wiki/Conoid
In geometry a conoid () is a ruled surface, whose rulings (lines) fulfill the additional conditions: (1) All rulings are parallel to a plane, the directrix plane. (2) All rulings intersect a fixed line, the axis. The conoid is a right conoid if its axis is perpendicular to its directrix plane. Hence all rulings are p...
https://en.wikipedia.org/wiki/Jornal%20Nacional
; ) is the flagship television newscast of TV Globo. First airing on September 1, 1969, according to IBOPE (Brazilian Institute of Public Opinion and Statistics), in the week of September 28October 4, 2015, it was the second most watched program in Brazilian television, with an average of 26,007,251 viewers per minute ...
https://en.wikipedia.org/wiki/Invariant%20differential%20operator
In mathematics and theoretical physics, an invariant differential operator is a kind of mathematical map from some objects to an object of similar type. These objects are typically functions on , functions on a manifold, vector valued functions, vector fields, or, more generally, sections of a vector bundle. In an inv...
https://en.wikipedia.org/wiki/Weight%20space
In mathematics, weight space may refer to: Weight space (representation theory) Parameter space in artificial neural networks, where the parameters are weights on graph edges.
https://en.wikipedia.org/wiki/AMCS
AMCS may refer to: The Australian Marine Conservation Society The International Journal of Applied Mathematics and Computer Science pl:AMCS
https://en.wikipedia.org/wiki/Delta-ring
In mathematics, a non-empty collection of sets is called a -ring (pronounced "") if it is closed under union, relative complementation, and countable intersection. The name "delta-ring" originates from the German word for intersection, "Durschnitt", which is meant to highlight the ring's closure under countable inters...
https://en.wikipedia.org/wiki/STST
STST may refer to: Single-trunk Steiner tree (STST) a design and topology, see Rectilinear Steiner tree Strassenbahn Stansstad-Stans (StSt) a defunct rail company, see List of railway companies in Switzerland Argon ST (NASDAQ stock ticker: STST) a subsidiary of Boeing Store Status (STST) a command code for the TI-...
https://en.wikipedia.org/wiki/Sirous%20Dinmohammadi
Sirous Dinmohammadi (, born 2 July 1970 in Tabriz) is a retired Iranian football player. Club career He is most notably for playing for Tractor and Esteghlal. Career statistics International career Dinmohammadi made 40 appearances for the Iran national football team and participated in the 1998 FIFA World Cup. Inte...
https://en.wikipedia.org/wiki/Gregorio%20Fontana
Gregorio Fontana, born Giovanni Battista Lorenzo Fontana (7 December 1735 – 24 August 1803) was an Italian mathematician and a religious of the Piarist order. He was chair of mathematics at the university of Pavia succeeding Roger Joseph Boscovich. He has been credited with the introduction of polar coordinates. His b...
https://en.wikipedia.org/wiki/Specificity
Specificity may refer to: Being specific (disambiguation) Specificity (statistics), the proportion of negatives in a binary classification test which are correctly identified Sensitivity and specificity, in relation to medical diagnostics Specificity (linguistics), whether a noun phrase has a particular referent a...
https://en.wikipedia.org/wiki/Arf%20invariant
In mathematics, the Arf invariant of a nonsingular quadratic form over a field of characteristic 2 was defined by Turkish mathematician when he started the systematic study of quadratic forms over arbitrary fields of characteristic 2. The Arf invariant is the substitute, in characteristic 2, for the discriminant for q...
https://en.wikipedia.org/wiki/Municipality%20of%20the%20District%20of%20St.%20Mary%27s
St. Mary's, officially named the Municipality of the District of St. Mary's, is a district municipality in Guysborough County, Nova Scotia, Canada. Statistics Canada classifies the district municipality as a municipal district. The district municipality occupies the western half of the county and its administrative se...
https://en.wikipedia.org/wiki/Minnesota%20Vikings%20statistics
The Minnesota Vikings is an American football franchise based in Minneapolis, Minnesota. The team was established in 1961 and is part of the National Football League's NFC North division. Since then, the team has taken part in the NFL playoffs 31 times, reaching four Super Bowls in 1970, 1974, 1975 and 1977. This list...
https://en.wikipedia.org/wiki/Kvant%20%28magazine%29
Kvant ( for "quantum") is a popular science magazine in physics and mathematics for school students and teachers, issued in print between 1970 and 2011. The magazine became an online-only publication in 2011. Translation of selected articles from Kvant had been published in Quantum Magazine in 1990–2001, which in turn ...
https://en.wikipedia.org/wiki/Ian%20Cullimore
Ian H. S. Cullimore is an English-born mathematician and computer scientist who has been influential in the pocket PC arena. Biography Cullimore has a degree in mathematics from King's College London, and a PhD in cognitive and computer science from the University of Sussex. He was the original founder (in 1985) and ...
https://en.wikipedia.org/wiki/John%20Hajnal
John Hajnal FBA (born Hajnal-Kónyi, ; 26 November 1924 – 30 November 2008), was a Hungarian-British academic in the fields of mathematics and economics (statistics). Hajnal is best known for identifying, in a landmark 1965 paper, the historical pattern of marriage of northwest Europe in which people married late and ...
https://en.wikipedia.org/wiki/Locally%20connected%20space
In topology and other branches of mathematics, a topological space X is locally connected if every point admits a neighbourhood basis consisting entirely of open, connected sets. Background Throughout the history of topology, connectedness and compactness have been two of the most widely studied topological properties...
https://en.wikipedia.org/wiki/Double%20helix%20%28disambiguation%29
Double helix may refer to: Science and engineering Double helix, the structure of DNA Double helix (geometry), two helices with the same axis differing by a translation along the axis Double Helix Nebula, a gaseous nebula in the Milky Way Galaxy Double helical gear, also known as a herringbone gear The Helix Bri...
https://en.wikipedia.org/wiki/Andrew%20Casson
Andrew John Casson FRS (born 1943) is a mathematician, studying geometric topology. Casson is the Philip Schuyler Beebe Professor of Mathematics at Yale University. Education and Career Casson was educated at Latymer Upper School and Trinity College, Cambridge, where he graduated with a BA in the Mathematical Tripos i...
https://en.wikipedia.org/wiki/Total%20correlation
In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information. It is also known as the multivariate constraint (Garner 1962) or multiinformation (Studený & Vejnarová 1999). It quantifies the redundancy or dependency among a...
https://en.wikipedia.org/wiki/Path%20space
In mathematics, the term path space refers to any topological space of paths from one specified set into another. In particular, it may refer to: The classical Wiener space of continuous paths The Skorokhod space of càdlàg paths For the usage in algebraic topology, see path space (algebraic topology). For Moore's p...
https://en.wikipedia.org/wiki/Principal%20ideal%20ring
In mathematics, a principal right (left) ideal ring is a ring R in which every right (left) ideal is of the form xR (Rx) for some element x of R. (The right and left ideals of this form, generated by one element, are called principal ideals.) When this is satisfied for both left and right ideals, such as the case whe...
https://en.wikipedia.org/wiki/Association%20of%20Track%20and%20Field%20Statisticians
The Association of Track and Field Statisticians (ATFS) was founded in 1950. It is an international organization run by volunteers whose goal is to collect and disseminate the statistics of track and field athletics. Foundation On 26 August 1950 at the Café de la Madeleine in the Rue de la Montagne, Brussels, Belgiu...
https://en.wikipedia.org/wiki/Heinz%20mean
In mathematics, the Heinz mean (named after E. Heinz) of two non-negative real numbers A and B, was defined by Bhatia as: with 0 ≤ x ≤ . For different values of x, this Heinz mean interpolates between the arithmetic (x = 0) and geometric (x = 1/2) means such that for 0 < x < : The Heinz means appear naturally when s...
https://en.wikipedia.org/wiki/Carl%20Morris
Carl Morris may refer to: Carl Morris (painter) (1911–1993), American painter Carl E. Morris (1887–1951), American boxer Carl Morris (statistician), professor of statistics at Harvard University Carl Morris, a fictional character in the British TV series, Moving Wallpaper
https://en.wikipedia.org/wiki/Kirkwood%20approximation
The Kirkwood superposition approximation was introduced in 1935 by John G. Kirkwood as a means of representing a discrete probability distribution. The Kirkwood approximation for a discrete probability density function is given by where is the product of probabilities over all subsets of variables of size i in v...
https://en.wikipedia.org/wiki/List%20of%20Indonesia-related%20topics
This is a list of topics related to Indonesia. Cities in Indonesia List of regencies and cities of Indonesia List of cities in Indonesia including population statistics Jakarta Lists Colonial buildings and structures in Jakarta Governors of Jakarta Radio stations in Jakarta Areas of Jakarta Districts of Jakar...
https://en.wikipedia.org/wiki/Polyhex
Polyhex can mean: Polyhex (mathematics), a class of mathematical shapes Polyhex (Transformers), a fictional city in the Transformers stories
https://en.wikipedia.org/wiki/440%20%28number%29
440 (four hundred [and] forty) is the natural number following 439 and preceding 441. In mathematics 440 has the factorization 440 is: Even The sum of the first 17 prime numbers A harshad number An abundant number A happy number References Integers
https://en.wikipedia.org/wiki/The%2085%20Ways%20to%20Tie%20a%20Tie
The 85 Ways to Tie a Tie is a book by Thomas Fink and Yong Mao about the history of the knotted neckcloth, the modern necktie, and how to tie each. It is based on two mathematics papers published by the authors in Nature and Physica A while they were research fellows at Cambridge University’s Cavendish Laboratory. The ...
https://en.wikipedia.org/wiki/Bunching
Bunching can refer to: Bunching (mathematics), also known as Muirhead's inequality. Bunching (animals), the practice of stealing pets for laboratories. Bus bunching, two or more transit vehicles running together despite evenly spaced scheduling Photon bunching, in physics, the statistical tendency for photons to a...
https://en.wikipedia.org/wiki/LiveMath
LiveMath is a computer algebra system available on a number of platforms including Mac OS, macOS (Carbon), Microsoft Windows, Linux (x86) and Solaris (SPARC). It is the latest release of a system that originally emerged as Theorist for the "classic" Mac in 1989, became MathView and MathPlus in 1997 after it was sold to...
https://en.wikipedia.org/wiki/M.%20S.%20Narasimhan
Mudumbai Seshachalu Narasimhan (7 June 1932 – 15 May 2021) was an Indian mathematician. His focus areas included number theory, algebraic geometry, representation theory, and partial differential equations. He was a pioneer in the study of moduli spaces of holomorphic vector bundles on projective varieties. His work i...
https://en.wikipedia.org/wiki/Charles%20G.%20Callard
Charles "Chuck" Gordon Callard (2 June 1923 – 1 May 2004) was a prominent figure in the financial community due to his innovative application of mathematics and statistics to stock analysis. Born in Lansing, Michigan, he was a Corsair fighter pilot on an aircraft carrier while serving in the United States Navy during W...
https://en.wikipedia.org/wiki/Arithmetic%20and%20geometric%20Frobenius
In mathematics, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p, where p is a prime number. Namely, the mapping φ that takes r in R to rp is a ring endomorphism of R. The image of φ is then Rp, the subring of R consisting of p-th powers. In some important cases, for example fi...
https://en.wikipedia.org/wiki/Tom%C3%A1%C5%A1ovce%2C%20Rimavsk%C3%A1%20Sobota%20District
Tomášovce () is a village and municipality in the Rimavská Sobota District of the Banská Bystrica Region of southern Slovakia. External links http://www.statistics.sk/mosmis/eng/run.html Villages and municipalities in Rimavská Sobota District
https://en.wikipedia.org/wiki/Equations%20defining%20abelian%20varieties
In mathematics, the concept of abelian variety is the higher-dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study because every abelian variety is a projective variety. In dimension d ≥ 2, however, it is no longer as straightforward to discuss such equations. ...
https://en.wikipedia.org/wiki/Extra%20special%20group
In group theory, a branch of abstract algebra, extraspecial groups are analogues of the Heisenberg group over finite fields whose size is a prime. For each prime p and positive integer n there are exactly two (up to isomorphism) extraspecial groups of order p1+2n. Extraspecial groups often occur in centralizers of i...
https://en.wikipedia.org/wiki/Hypercomplex%20manifold
In differential geometry, a hypercomplex manifold is a manifold with the tangent bundle equipped with an action by the algebra of quaternions in such a way that the quaternions define integrable almost complex structures. If the almost complex structures are instead not assumed to be integrable, the manifold is calle...
https://en.wikipedia.org/wiki/Betty%20Gibson
Betty Gibson (1911–2001) was a Canadian educator considered by the community to be instrumental in developing and implementing the Mathematics and Language Arts Curriculum in Manitoba. Celebrated as "an exemplary educator", the Betty Gibson School in Brandon, Manitoba was named in her honour. Biography Over Gibson's...
https://en.wikipedia.org/wiki/Ordered%20Bell%20number
In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the number of weak orderings on a set of elements. Weak orderings arrange their elements into a sequence allowing ties, such as might arise as the outcome of a horse race). Starting from , these numbers are The ordered Be...
https://en.wikipedia.org/wiki/Immersion%20%28mathematics%29
In mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. Explicitly, is an immersion if is an injective function at every point of (where denotes the tangent space of a manifold at a point in ). Equivalently, is an immersi...
https://en.wikipedia.org/wiki/Fractional%20factorial%20design
In statistics, fractional factorial designs are experimental designs consisting of a carefully chosen subset (fraction) of the experimental runs of a full factorial design. The subset is chosen so as to exploit the sparsity-of-effects principle to expose information about the most important features of the problem stud...
https://en.wikipedia.org/wiki/Good%E2%80%93Turing%20frequency%20estimation
Good–Turing frequency estimation is a statistical technique for estimating the probability of encountering an object of a hitherto unseen species, given a set of past observations of objects from different species. In drawing balls from an urn, the 'objects' would be balls and the 'species' would be the distinct colors...
https://en.wikipedia.org/wiki/Symplectic%20filling
In mathematics, a filling of a manifold X is a cobordism W between X and the empty set. More to the point, the n-dimensional topological manifold X is the boundary of an (n + 1)-dimensional manifold W. Perhaps the most active area of current research is when n = 3, where one may consider certain types of fillings. The...
https://en.wikipedia.org/wiki/Giovanni%20Antonio%20Medrano
Giovanni Antonio Medrano (11 December, 1703–1760) was the "Major Regius Praefectus Mathematicis Regni Neapolitani" (Major Royal Governor of Mathematics of the Kingdom of Naples), chief engineer of the kingdom, architect, brigadier, and teacher of Charles III of Spain and his brothers the infantes. Giovanni was born in...
https://en.wikipedia.org/wiki/Jon%C3%ADlson
Jonilson Clovis Nascimento Breves or Jonilson (born in Pinheiral on November 28, 1978) is an association football player, currently playing for Goiás on loan from Botafogo (SP). Club statistics Achievements Rio de Janeiro's Cup: 2000, 2002 Rio de Janeiro State League (2nd division): 2004 Guanabara Cup: 2005 Minas...
https://en.wikipedia.org/wiki/Green%E2%80%93Tao%20theorem
In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number k, there exist arithmetic progressions of primes with k terms. The proof is an extension of Szemeré...
https://en.wikipedia.org/wiki/Prefix%20order
In mathematics, especially order theory, a prefix ordered set generalizes the intuitive concept of a tree by introducing the possibility of continuous progress and continuous branching. Natural prefix orders often occur when considering dynamical systems as a set of functions from time (a totally-ordered set) to some p...
https://en.wikipedia.org/wiki/Inverted%20bell%20%28disambiguation%29
Inverted bell may refer to one of the following: Inverted bell, a shape Inverted bell (music), a musical instrument Inverted bell curve, in statistics, a bimodal distribution
https://en.wikipedia.org/wiki/Decrement%20table
Decrement tables, also called life table methods, are used to calculate the probability of certain events. Birth control Life table methods are often used to study birth control effectiveness. In this role, they are an alternative to the Pearl Index. As used in birth control studies, a decrement table calculates a s...
https://en.wikipedia.org/wiki/Ramanujan%20prime
In mathematics, a Ramanujan prime is a prime number that satisfies a result proven by Srinivasa Ramanujan relating to the prime-counting function. Origins and definition In 1919, Ramanujan published a new proof of Bertrand's postulate which, as he notes, was first proved by Chebyshev. At the end of the two-page publis...
https://en.wikipedia.org/wiki/At%20bats%20per%20home%20run
In baseball statistics, at bats per home run (AB/HR) is a way to measure how frequently a batter hits a home run. It is determined by dividing the number of at bats by the number of home runs hit. Mark McGwire possesses the MLB record for this statistic with a career ratio of 10.61 at bats per home run and Babe Ruth is...
https://en.wikipedia.org/wiki/Hardy%27s%20inequality
Hardy's inequality is an inequality in mathematics, named after G. H. Hardy. It states that if is a sequence of non-negative real numbers, then for every real number p > 1 one has If the right-hand side is finite, equality holds if and only if for all n. An integral version of Hardy's inequality states the followin...
https://en.wikipedia.org/wiki/Hopf%20manifold
In complex geometry, a Hopf manifold is obtained as a quotient of the complex vector space (with zero deleted) by a free action of the group of integers, with the generator of acting by holomorphic contractions. Here, a holomorphic contraction is a map such that a sufficiently big iteration maps any given comp...
https://en.wikipedia.org/wiki/Hopf%20surface
In complex geometry, a Hopf surface is a compact complex surface obtained as a quotient of the complex vector space (with zero deleted) by a free action of a discrete group. If this group is the integers the Hopf surface is called primary, otherwise it is called secondary. (Some authors use the term "Hopf surface" to ...
https://en.wikipedia.org/wiki/Phase%20line
A phase line may refer to: Phase line (mathematics), used to analyze autonomous ordinary differential equations Phase line (cartography), used to identify phases of military operations or changing borders over time
https://en.wikipedia.org/wiki/International%20Mathematical%20Olympiad%20selection%20process
This article describes the selection process, by country, for entrance into the International Mathematical Olympiad. The International Mathematical Olympiad (IMO) is an annual mathematics olympiad for students younger than 20 who have not started at university. Each year, participating countries send at most 6 studen...
https://en.wikipedia.org/wiki/Affine%20action
Let be the Weyl group of a semisimple Lie algebra (associate to fixed choice of a Cartan subalgebra ). Assume that a set of simple roots in is chosen. The affine action (also called the dot action) of the Weyl group on the space is where is the sum of all fundamental weights, or, equivalently, the half of the s...
https://en.wikipedia.org/wiki/Bayesian%20inference%20in%20phylogeny
Bayesian inference of phylogeny combines the information in the prior and in the data likelihood to create the so-called posterior probability of trees, which is the probability that the tree is correct given the data, the prior and the likelihood model. Bayesian inference was introduced into molecular phylogenetics in...
https://en.wikipedia.org/wiki/Casson%20handle
In 4-dimensional topology, a branch of mathematics, a Casson handle is a 4-dimensional topological 2-handle constructed by an infinite procedure. They are named for Andrew Casson, who introduced them in about 1973. They were originally called "flexible handles" by Casson himself, and introduced the name "Casson handle...
https://en.wikipedia.org/wiki/Statistical%20parsing
Statistical parsing is a group of parsing methods within natural language processing. The methods have in common that they associate grammar rules with a probability. Grammar rules are traditionally viewed in computational linguistics as defining the valid sentences in a language. Within this mindset, the idea of as...
https://en.wikipedia.org/wiki/Brocard%20points
In geometry, Brocard points are special points within a triangle. They are named after Henri Brocard (1845–1922), a French mathematician. Definition In a triangle ABC with sides a, b, and c, where the vertices are labeled A, B and C in counterclockwise order, there is exactly one point P such that the line segments AP...
https://en.wikipedia.org/wiki/Schreier%20conjecture
In finite group theory, the Schreier conjecture asserts that the outer automorphism group of every finite simple group is solvable. It was proposed by Otto Schreier in 1926, and is now known to be true as a result of the classification of finite simple groups, but no simpler proof is known. References . Theorems abou...
https://en.wikipedia.org/wiki/Rokhlin%27s%20theorem
In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, orientable, closed 4-manifold M has a spin structure (or, equivalently, the second Stiefel–Whitney class vanishes), then the signature of its intersection form, a quadratic form on the second cohomology group , is divisible ...
https://en.wikipedia.org/wiki/Dodecahedral%20conjecture
The dodecahedral conjecture in geometry is intimately related to sphere packing. László Fejes Tóth, a 20th-century Hungarian geometer, considered the Voronoi decomposition of any given packing of unit spheres. He conjectured in 1943 that the minimal volume of any cell in the resulting Voronoi decomposition was at lea...
https://en.wikipedia.org/wiki/Half-logistic%20distribution
In probability theory and statistics, the half-logistic distribution is a continuous probability distribution—the distribution of the absolute value of a random variable following the logistic distribution. That is, for where Y is a logistic random variable, X is a half-logistic random variable. Specification Cumul...
https://en.wikipedia.org/wiki/Arthur%20P.%20Dempster
Arthur Pentland Dempster (born 1929) is a Professor Emeritus in the Harvard University Department of Statistics. He was one of four faculty when the department was founded in 1957. Biography Dempster received his B.A. in mathematics and physics (1952) and M.A. in mathematics (1953), both from the University of Toronto...
https://en.wikipedia.org/wiki/Hanna%20Neumann
Johanna (Hanna) Neumann (née von Caemmerer; 12 February 1914 – 14 November 1971) was a German-born mathematician who worked on group theory. Biography Neumann was born on 12 February 1914 in Lankwitz, Steglitz-Zehlendorf (today a district of Berlin), Germany. She was the youngest of three children of Hermann and Kat...
https://en.wikipedia.org/wiki/Generalized%20inverse
In mathematics, and in particular, algebra, a generalized inverse (or, g-inverse) of an element x is an element y that has some properties of an inverse element but not necessarily all of them. The purpose of constructing a generalized inverse of a matrix is to obtain a matrix that can serve as an inverse in some sense...
https://en.wikipedia.org/wiki/David%20Lane
David Lane may refer to: Academics David J. Lane (astronomer) (born 1963), Canadian astronomer at Saint Mary's University David A. Lane (born 1945), American professor of statistics and economics at the University of Modena and Reggio Emilia David C. Lane (born 1956), American professor of philosophy David Lane (o...