source
stringlengths
31
168
text
stringlengths
51
3k
https://en.wikipedia.org/wiki/Cousin%27s%20theorem
In real analysis, a branch of mathematics, Cousin's theorem states that: If for every point of a closed region (in modern terms, "closed and bounded") there is a circle of finite radius (in modern term, a "neighborhood"), then the region can be divided into a finite number of subregions such that each subregion is int...
https://en.wikipedia.org/wiki/Tolerance%20relation
In universal algebra and lattice theory, a tolerance relation on an algebraic structure is a reflexive symmetric relation that is compatible with all operations of the structure. Thus a tolerance is like a congruence, except that the assumption of transitivity is dropped. On a set, an algebraic structure with empty fam...
https://en.wikipedia.org/wiki/National%20Treasures%20of%20Japan%20%28statistics%29
This table shows the number of National Treasures of Japan in each prefecture grouped by type of the property. Gold colored cells mark prefectures with the largest number of National Treasures for the given category (column). References National Treasures of Japan
https://en.wikipedia.org/wiki/Albert%20Leon%20Whiteman%20Memorial%20Prize
The Albert Leon Whiteman Memorial Prize is awarded by the American Mathematical Society for notable exposition and exceptional scholarship in the history of mathematics. The prize was endowed in 1998 with funds provided by Sally Whiteman in memory of her late husband Albert Leon Whiteman. Originally it was awarde...
https://en.wikipedia.org/wiki/Stably%20finite%20ring
In mathematics, particularly in abstract algebra, a ring R is said to be stably finite (or weakly finite) if, for all square matrices A and B of the same size with entries in R, AB = 1 implies BA = 1. This is a stronger property for a ring than having the invariant basis number (IBN) property. Namely, any nontrivial st...
https://en.wikipedia.org/wiki/6-polytope
In six-dimensional geometry, a six-dimensional polytope or 6-polytope is a polytope, bounded by 5-polytope facets. Definition A 6-polytope is a closed six-dimensional figure with vertices, edges, faces, cells (3-faces), 4-faces, and 5-faces. A vertex is a point where six or more edges meet. An edge is a line segment w...
https://en.wikipedia.org/wiki/Asymptotic%20theory%20%28statistics%29
In statistics, asymptotic theory, or large sample theory, is a framework for assessing properties of estimators and statistical tests. Within this framework, it is often assumed that the sample size may grow indefinitely; the properties of estimators and tests are then evaluated under the limit of . In practice, a lim...
https://en.wikipedia.org/wiki/Tukey%27s%20test%20of%20additivity
In statistics, Tukey's test of additivity, named for John Tukey, is an approach used in two-way ANOVA (regression analysis involving two qualitative factors) to assess whether the factor variables (categorical variables) are additively related to the expected value of the response variable. It can be applied when ther...
https://en.wikipedia.org/wiki/Regular%20extension
In field theory, a branch of algebra, a field extension is said to be regular if k is algebraically closed in L (i.e., where is the set of elements in L algebraic over k) and L is separable over k, or equivalently, is an integral domain when is the algebraic closure of (that is, to say, are linearly disjoint ov...
https://en.wikipedia.org/wiki/Crime%20in%20Arizona
In 2014, 242,156 crimes were reported in the U.S. state of Arizona. Statistics Capital punishment laws Capital punishment is applied in Arizona. In most circumstances, the method used is lethal injection. Inmates sentenced to death for murders committed prior to November 23, 1992 may choose lethal gas. See also L...
https://en.wikipedia.org/wiki/Crime%20in%20California
Crime in California refers to crime occurring within the U.S. state of California. State statistics In 2019, there were 1,096,668 crimes reported in California including 1,679 murders, 14,720 rapes and 915,197 property crimes. In 2019, there were 1,012,441 arrests of adults and 43,181 arrests of juveniles in Californi...
https://en.wikipedia.org/wiki/Kontsevich%20quantization%20formula
In mathematics, the Kontsevich quantization formula describes how to construct a generalized ★-product operator algebra from a given arbitrary finite-dimensional Poisson manifold. This operator algebra amounts to the deformation quantization of the corresponding Poisson algebra. It is due to Maxim Kontsevich. Deformat...
https://en.wikipedia.org/wiki/SymbolicC%2B%2B
SymbolicC++ is a general purpose computer algebra system written in the programming language C++. It is free software released under the terms of the GNU General Public License. SymbolicC++ is used by including a C++ header file or by linking against a library. Examples #include <iostream> #include "symbolicc++.h" us...
https://en.wikipedia.org/wiki/2010%20Bangkok%20Glass%20F.C.%20season
The 2010 season was Bangkok Glass's 2nd season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg f...
https://en.wikipedia.org/wiki/2010%20Bangkok%20United%20F.C.%20season
The 2010 season was Bangkok United's 7th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg ...
https://en.wikipedia.org/wiki/2010%20Thai%20Port%20F.C.%20season
The 2010 season was Thai Port's 14th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg fixt...
https://en.wikipedia.org/wiki/Crime%20in%20Colorado
This article describes crime in the U.S. state of Colorado. Statistics In 2011, there were 151,125 crimes reported in Colorado. In 2008, there were 158,236 crimes reported in Colorado, including 156 murders, 141,107 property crimes, and 2,094 rapes. Capital punishment laws Capital punishment is not applied in this ...
https://en.wikipedia.org/wiki/Crime%20in%20Florida
Crime in Florida refers to crime occurring within the U.S. State of Florida. Crime Statistics Policing In 2018, Florida had 373 state and local law enforcement agencies. Those agencies employed a total of 85,234 staff. Of the total staff, 47,177 were sworn officers (defined as those with general arrest powers). In ...
https://en.wikipedia.org/wiki/Crime%20in%20Georgia%20%28U.S.%20state%29
In 2008, there were 434,560 crimes reported in the U.S. state of Georgia, including 650 murders Statistics From 1877 to 1950, the state was the site of at least 586 lynchings of black people, the most of any state. In 2008, there were 434,560 crimes reported in Georgia, including 650 murders, 387,009 property crimes,...
https://en.wikipedia.org/wiki/2010%20Osotspa%20Saraburi%20F.C.%20season
The 2010 season was Osotspa Saraburi's 12th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first ...
https://en.wikipedia.org/wiki/2010%20Royal%20Thai%20Army%20F.C.%20season
The 2010 season was the Royal Thai Army's 1st season back in the top division of Thai football after promotion from the 1st division. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009...
https://en.wikipedia.org/wiki/2010%20Samut%20Songkhram%20F.C.%20season
The 2010 season was Samut Songkhram's 3rd season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg...
https://en.wikipedia.org/wiki/2010%20Sisaket%20F.C.%20season
The 2010 season was Sisaket's 1st season in the top division of Thai football after promotion from the 1st division. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premie...
https://en.wikipedia.org/wiki/2010%20Pattaya%20United%20F.C.%20season
The 2010 season was Pattaya United's 2nd season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg ...
https://en.wikipedia.org/wiki/Crime%20in%20Illinois
In 2008, there were 446,135 crimes reported in the U.S. state of Illinois, including 790 murders. State statistics Policing In 2019, Illinois had 846 state and local law enforcement agencies. Those agencies employed a total of 48,240 staff. Of the total staff, 38,539 were sworn officers (defined as those with gener...
https://en.wikipedia.org/wiki/Crime%20in%20Iowa
In 2019, there were 7,545 violent-crime incidents, and 8,237 offenses reported in the U.S. state of Iowa. Statistics In 2019, there were 7,545 violent-crime incidents, and 8,237 offenses reported in Iowa by 246 law enforcement agencies that submitted National Incident-Based Reporting System (NIBRS) data, and covers 98...
https://en.wikipedia.org/wiki/Crime%20in%20Kentucky
In 2020, there were 9,820 violent-crime incidents, and 11,349 offenses reported the U.S. state of Kentucky. State statistics In 2008, there were 122,960 crimes reported in Kentucky, including 198 murders. In 2020, there were 9,820 violent-crime incidents, and 11,349 offenses reported in Kentucky by 423 law enforcement...
https://en.wikipedia.org/wiki/Crime%20in%20Michigan
In 2019, 43,686 crimes were reported in the U.S. state of Michigan. Crime statistics vary widely by location. For example, Dearborn has a murder rate of only 2.1 per 100,000 while sharing borders with Detroit (43.5 per 100,000) and Inkster (24.2 per 100,000), some of the highest rates in the state. State statistics B...
https://en.wikipedia.org/wiki/Crime%20in%20Nevada
Statistics Capital punishment laws Capital punishment is legal in Nevada through lethal injection, and the most recent execution was issued to Daryl Mack on April 26, 2006. References
https://en.wikipedia.org/wiki/Crime%20in%20North%20Dakota
In 2020 there were 10,815 crimes reported in the U.S. state of North Dakota, including 32 murders. Statistics In 2010 there were 13,558 crimes reported in North Dakota, including 10 murders. In 2011 there were 15,033 crimes reported, including 24 murders. In 2012 there were 16,020 crimes reported, including 25 murde...
https://en.wikipedia.org/wiki/Crime%20in%20Texas
In 2014 there were 923,348 crimes reported in the U.S. state of Texas, including 1,184 murders and 8,236 rapes. State statistics Policing In 2008, Texas had 1,913 state and local law enforcement agencies. Those agencies employed a total of 96,116 staff. Of the total staff, 59,219 were sworn officers (defined as tho...
https://en.wikipedia.org/wiki/Crime%20in%20Vermont
The U.S. state of Vermont is the safest state in the country with a violent crime rate of 118 incidents per 100,000 state residents. State statistics In 2011 there were 16,011 crimes reported in Vermont, including 11 murders. In 2014 there were 10,173 crimes reported, including 10 murders. From 2000 to 2013, the stat...
https://en.wikipedia.org/wiki/Crime%20in%20West%20Virginia
In 2014 there were 43,236 crimes reported n the U.S. state of West Virginia, including 74 murders. State statistics In 2008 there were 51,376 crimes reported in West Virginia, including 67 murders. West Virginia's ten worst cities statistically to live in are Fairmont, South Charleston, Martinsburg, Morgantown, Clarks...
https://en.wikipedia.org/wiki/Crime%20in%20Wyoming
This article discusses crime in the U.S. state of Wyoming. Statistics Capital punishment laws Capital punishment is legal in Wyoming, although no one has been executed since January 22, 1992. On Feb 15, 2019, the Wyoming Senate rejected a bill to repeal the death penalty. Footnotes References
https://en.wikipedia.org/wiki/Kenneth%20Stroud
Kenneth Stroud may refer to: Ken Stroud, author of mathematics textbooks Kenny Stroud, English footballer
https://en.wikipedia.org/wiki/Enneagonal%20antiprism
In geometry, the enneagonal antiprism (or nonagonal antiprism) is one in an infinite set of convex antiprisms formed by triangle sides and two regular polygon caps, in this case two enneagons. Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, r...
https://en.wikipedia.org/wiki/TenMarks%20Education%2C%20Inc.
TenMarks Education, Inc. was an American company that provided personalized online math practice and enrichment programs for K-Algebra/Geometry using a structured approach of practice, on-demand hints, video lessons and real-time results. Founded in 2009, TenMarks Education had offices in San Francisco, CA and Boston...
https://en.wikipedia.org/wiki/Lebesgue%20integration
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, extends the integral to a larger class of functions. It also extends t...
https://en.wikipedia.org/wiki/Schur%E2%80%93Horn%20theorem
In mathematics, particularly linear algebra, the Schur–Horn theorem, named after Issai Schur and Alfred Horn, characterizes the diagonal of a Hermitian matrix with given eigenvalues. It has inspired investigations and substantial generalizations in the setting of symplectic geometry. A few important generalizations are...
https://en.wikipedia.org/wiki/G-module
In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M. This widely applicable notion generalizes that of a representation of G. Group (co)homology provides an important set of tools for studying general G-modules. The term G-module is also us...
https://en.wikipedia.org/wiki/Dyadic%20distribution
A dyadic (or 2-adic) distribution is a specific type of discrete probability distribution that is of some theoretical importance in data compression. Definition A dyadic distribution is a probability distribution whose probability mass function is where is some whole number. It is possible to find a binary code de...
https://en.wikipedia.org/wiki/Talagrand%27s%20concentration%20inequality
In the probability theory field of mathematics , Talagrand's concentration inequality is an isoperimetric-type inequality for product probability spaces. It was first proved by the French mathematician Michel Talagrand. The inequality is one of the manifestations of the concentration of measure phenomenon. Statement T...
https://en.wikipedia.org/wiki/Yuri%20Tarasov
Yuri Ivanovich Tarasov (; born 5 April 1960; died in 1999) was a Soviet Ukrainian professional football player. Statistics for Metalist Other – USSR Super Cup The statistics in USSR Cups and Europe is made under the scheme "Autumn-Spring" and enlisted in a year of start of tournaments Honours Club records for mo...
https://en.wikipedia.org/wiki/P-adic%20Hodge%20theory
In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p (such as Qp). The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the noti...
https://en.wikipedia.org/wiki/Lehmer%20code
In mathematics and in particular in combinatorics, the Lehmer code is a particular way to encode each possible permutation of a sequence of n numbers. It is an instance of a scheme for numbering permutations and is an example of an inversion table. The Lehmer code is named in reference to Derrick Henry Lehmer, but the...
https://en.wikipedia.org/wiki/1537%20in%20science
The year 1537 in science and technology included many events, some of which are listed here. Mathematics Niccolò Fontana Tartaglia publishes La Nova Scientia in Venice, applying mathematics to the study of ballistics. Pedro Nunes publishes several treatises on navigation: Tratado em defensam da carta de marear, Trat...
https://en.wikipedia.org/wiki/Quadratic%20Lie%20algebra
A quadratic Lie algebra is a Lie algebra together with a compatible symmetric bilinear form. Compatibility means that it is invariant under the adjoint representation. Examples of such are semisimple Lie algebras, such as su(n) and sl(n,R). Definition A quadratic Lie algebra is a Lie algebra (g,[.,.]) together with...
https://en.wikipedia.org/wiki/William%20C.%20Waterhouse
William Charles Waterhouse (December 31, 1941 – June 26, 2016) was an American mathematician. He was a professor emeritus of Mathematics at Pennsylvania State University, after having taught there for over 35 years. The early part of his career was at Cornell University. His research interests included abstract algebra...
https://en.wikipedia.org/wiki/Calcutta%20Mathematical%20Society
The Calcutta Mathematical Society (CalMathSoc) is an association of professional mathematicians dedicated to the interests of mathematical research and education in India. The Society has its head office located at Kolkata, India. History Calcutta Mathematical Society was established on 6 September 1908 under the ste...
https://en.wikipedia.org/wiki/Index%20of%20a%20Lie%20algebra
In algebra, let g be a Lie algebra over a field K. Let further be a one-form on g. The stabilizer gξ of ξ is the Lie subalgebra of elements of g that annihilate ξ in the coadjoint representation. The index of the Lie algebra is Examples Reductive Lie algebras If g is reductive then the index of g is also the rank of...
https://en.wikipedia.org/wiki/2010%20BEC%20Tero%20Sasana%20F.C.%20season
The 2010 season was BEC's 14th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg fixtures w...
https://en.wikipedia.org/wiki/2010%20TOT-CAT%20F.C.%20season
The 2010 season was TOT's 10th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg fixtures w...
https://en.wikipedia.org/wiki/2010%20TTM%20Phichit%20F.C.%20season
The 2010 season was TTM's 10th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg fixtures w...
https://en.wikipedia.org/wiki/2010%20Buriram%20PEA%20F.C.%20season
The 2010 season was PEA's 6th season in the top division of Thai football. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the season. Team kit Chronological list of events 10 November 2009: The Thai Premier League 2010 season first leg fixtures we...
https://en.wikipedia.org/wiki/B-admissible%20representation
In mathematics, the formalism of B-admissible representations provides constructions of full Tannakian subcategories of the category of representations of a group G on finite-dimensional vector spaces over a given field E. In this theory, B is chosen to be a so-called (E, G)-regular ring, i.e. an E-algebra with an E-li...
https://en.wikipedia.org/wiki/Nadine%20O%27Connor
Nadine O'Connor (born March 5, 1942) is a retired mathematics teacher and a world record setting, hall of fame Masters Track and Field athlete. While she specializes in the pole vault, due to her athletic training, she also holds the World Masters Athletics world records in the 100 metres, 200 metres, the Indoor 60 me...
https://en.wikipedia.org/wiki/Steven%20E.%20Shreve
Steven Eugene Shreve is a mathematician and currently the Orion Hoch Professor of Mathematical Sciences at Carnegie Mellon University and the author of several major books on the mathematics of financial derivatives. His first degree, awarded in 1972 was in German from West Virginia University. He then studied mathema...
https://en.wikipedia.org/wiki/Mladen%20Bestvina
Mladen Bestvina (born 1959) is a Croatian-American mathematician working in the area of geometric group theory. He is a Distinguished Professor in the Department of Mathematics at the University of Utah. Biographical info Mladen Bestvina is a three-time medalist at the International Mathematical Olympiad (two silver m...
https://en.wikipedia.org/wiki/Unibranch%20local%20ring
In algebraic geometry, a local ring A is said to be unibranch if the reduced ring Ared (obtained by quotienting A by its nilradical) is an integral domain, and the integral closure B of Ared is also a local ring. A unibranch local ring is said to be geometrically unibranch if the residue field of B is a purely insepara...
https://en.wikipedia.org/wiki/Constructible%20sheaf
In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally closed subsets on each of which the sheaf is a locally constant sheaf. It has its origins in algebraic geometry, where in étale cohomology constructible sheaves are de...
https://en.wikipedia.org/wiki/Locally%20closed%20subset
In topology, a branch of mathematics, a subset of a topological space is said to be locally closed if any of the following equivalent conditions are satisfied: is the intersection of an open set and a closed set in For each point there is a neighborhood of such that is closed in is an open subset of its cl...
https://en.wikipedia.org/wiki/David%20Donoho
David Leigh Donoho (born March 5, 1957) is an American statistician. He is a professor of statistics at Stanford University, where he is also the Anne T. and Robert M. Bass Professor in the Humanities and Sciences. His work includes the development of effective methods for the construction of low-dimensional representa...
https://en.wikipedia.org/wiki/Rectified%206-simplexes
In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex. There are three unique degrees of rectifications, including the zeroth, the 6-simplex itself. Vertices of the rectified 6-simplex are located at the edge-centers of the 6-simplex. Vertices...
https://en.wikipedia.org/wiki/Rectified%206-cubes
In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube. There are unique 6 degrees of rectifications, the zeroth being the 6-cube, and the 6th and last being the 6-orthoplex. Vertices of the rectified 6-cube are located at the edge-centers of the 6-c...
https://en.wikipedia.org/wiki/Rectified%205-cubes
In five-dimensional geometry, a rectified 5-cube is a convex uniform 5-polytope, being a rectification of the regular 5-cube. There are 5 degrees of rectifications of a 5-polytope, the zeroth here being the 5-cube, and the 4th and last being the 5-orthoplex. Vertices of the rectified 5-cube are located at the edge-cen...
https://en.wikipedia.org/wiki/Cantic%206-cube
In six-dimensional geometry, a cantic 6-cube (or a truncated 6-demicube) is a uniform 6-polytope. Alternate names Truncated 6-demicube/demihexeract (Acronym thax) (Jonathan Bowers) Cartesian coordinates The Cartesian coordinates for the 480 vertices of a cantic 6-cube centered at the origin and edge length 6 are co...
https://en.wikipedia.org/wiki/Cantic%205-cube
In geometry of five dimensions or higher, a cantic 5-cube, cantihalf 5-cube, truncated 5-demicube is a uniform 5-polytope, being a truncation of the 5-demicube. It has half the vertices of a cantellated 5-cube. Cartesian coordinates The Cartesian coordinates for the 160 vertices of a cantic 5-cube centered at the ori...
https://en.wikipedia.org/wiki/Truncated%205-cubes
In five-dimensional geometry, a truncated 5-cube is a convex uniform 5-polytope, being a truncation of the regular 5-cube. There are four unique truncations of the 5-cube. Vertices of the truncated 5-cube are located as pairs on the edge of the 5-cube. Vertices of the bitruncated 5-cube are located on the square faces...
https://en.wikipedia.org/wiki/Truncated%205-orthoplexes
In five-dimensional geometry, a truncated 5-orthoplex is a convex uniform 5-polytope, being a truncation of the regular 5-orthoplex. There are 4 unique truncations of the 5-orthoplex. Vertices of the truncation 5-orthoplex are located as pairs on the edge of the 5-orthoplex. Vertices of the bitruncated 5-orthoplex are...
https://en.wikipedia.org/wiki/Truncated%206-cubes
In six-dimensional geometry, a truncated 6-cube (or truncated hexeract) is a convex uniform 6-polytope, being a truncation of the regular 6-cube. There are 5 truncations for the 6-cube. Vertices of the truncated 6-cube are located as pairs on the edge of the 6-cube. Vertices of the bitruncated 6-cube are located on th...
https://en.wikipedia.org/wiki/Truncated%206-orthoplexes
In six-dimensional geometry, a truncated 6-orthoplex is a convex uniform 6-polytope, being a truncation of the regular 6-orthoplex. There are 5 degrees of truncation for the 6-orthoplex. Vertices of the truncated 6-orthoplex are located as pairs on the edge of the 6-orthoplex. Vertices of the bitruncated 6-orthoplex a...
https://en.wikipedia.org/wiki/Truncated%206-simplexes
In six-dimensional geometry, a truncated 6-simplex is a convex uniform 6-polytope, being a truncation of the regular 6-simplex. There are unique 3 degrees of truncation. Vertices of the truncation 6-simplex are located as pairs on the edge of the 6-simplex. Vertices of the bitruncated 6-simplex are located on the tria...
https://en.wikipedia.org/wiki/Mathematical%20knowledge%20management
Mathematical knowledge management (MKM) is the study of how society can effectively make use of the vast and growing literature on mathematics. It studies approaches such as databases of mathematical knowledge, automated processing of formulae and the use of semantic information, and artificial intelligence. Mathematic...
https://en.wikipedia.org/wiki/Detlef%20Laugwitz
Detlef Laugwitz (1932–2000) was a German mathematician and historian, who worked in differential geometry, history of mathematics, functional analysis, and non-standard analysis. Biography He was born on 11 May 1932 in Breslau, Germany. Starting in 1949, he studied mathematics, physics, and philosophy at the Georg-Aug...
https://en.wikipedia.org/wiki/Madhava%20series
In mathematics, a Madhava series is one of the three Taylor series expansions for the sine, cosine, and arctangent functions discovered in 14th or 15th century Kerala by the mathematician and astronomer Madhava of Sangamagrama (c. 1350 – c. 1425) or his followers in the Kerala school of astronomy and mathematics. Using...
https://en.wikipedia.org/wiki/Hodge%20bundle
In mathematics, the Hodge bundle, named after W. V. D. Hodge, appears in the study of families of curves, where it provides an invariant in the moduli theory of algebraic curves. Furthermore, it has applications to the theory of modular forms on reductive algebraic groups and string theory. Definition Let be the modu...
https://en.wikipedia.org/wiki/Lefschetz%20theorem%20on%20%281%2C1%29-classes
In algebraic geometry, a branch of mathematics, the Lefschetz theorem on (1,1)-classes, named after Solomon Lefschetz, is a classical statement relating holomorphic line bundles on a compact Kähler manifold to classes in its integral cohomology. It is the only case of the Hodge conjecture which has been proved for all ...
https://en.wikipedia.org/wiki/1956%20Meistaradeildin
Statistics of Meistaradeildin in the 1956 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1957%20Meistaradeildin
Statistics of Meistaradeildin in the 1957 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1958%20Meistaradeildin
Statistics of Meistaradeildin in the 1958 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1959%20Meistaradeildin
Statistics of Meistaradeildin in the 1959 season. Overview It was contested by 5 teams, and B36 Tórshavn won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1960%20Meistaradeildin
Statistics of Meistaradeildin in the 1960 season. Overview It was contested by 4 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1961%20Meistaradeildin
Statistics of Meistaradeildin in the 1961 season. Overview It was contested by 4 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1962%20Meistaradeildin
Statistics of Meistaradeildin in the 1962 season. Overview It was contested by 4 teams, and B36 Tórshavn won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1963%20Meistaradeildin
Statistics of Meistaradeildin in the 1963 season. Overview It was contested by 4 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1964%20Meistaradeildin
Statistics of Meistaradeildin in the 1964 season. Overview It was contested by 3 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe pl:Meistaradeildin (1963)
https://en.wikipedia.org/wiki/1965%20Meistaradeildin
Statistics of Meistaradeildin in the 1965 season. Overview It was contested by 4 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1967%20Meistaradeildin
Statistics of Meistaradeildin in the 1967 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1969%20Meistaradeildin
Statistics of Meistaradeildin in the 1969 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1970%20Meistaradeildin
Statistics of Meistaradeildin in the 1970 season. Overview It was contested by 5 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1971%20Meistaradeildin
Statistics of Meistaradeildin in the 1971 season. Overview It was contested by 6 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1972%20Meistaradeildin
Statistics of Meistaradeildin in the 1972 season. Overview It was contested by 6 teams, and KÍ Klaksvík won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1973%20Meistaradeildin
Statistics of Meistaradeildin in the 1973 season. Overview It was contested by 6 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1974%20Meistaradeildin
Statistics of Meistaradeildin in the 1974 season. Overview It was contested by 6 teams, and Havnar Bóltfelag won the championship. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe
https://en.wikipedia.org/wiki/1975%20Meistaradeildin
Statistics of Meistaradeildin in the 1975 season. Overview There were 6 teams competing for the championship, and Havnar Bóltfelag won. League table Results References RSSSF Meistaradeildin seasons Faroe Faroe 1975 in the Faroe Islands
https://en.wikipedia.org/wiki/1924%20Latvian%20Football%20Championship
Statistics of Latvian Higher League in the 1924 season. Overview RFK won the championship. League standings Kaiserwald withdrew after 2 rounds because of the decision of Latvia Football Union (LFS - Latvijas Futbola Savieniba) which prohibited foreign players to participate in the championship. 2nd stage: RFK [Riga...
https://en.wikipedia.org/wiki/1925%20Latvian%20Football%20Championship
Statistics of Latvian Higher League in the 1925 season. Overview RFK won the championship. League standings 2nd stage: RFK [Riga] – Olimpija [Liepaja] 4–3 References RSSSF 1925 Lat Lat Football Championship
https://en.wikipedia.org/wiki/1926%20Latvian%20Football%20Championship
Statistics of the Latvian Higher League for the 1926 season- RFK were the league champions: League standings 1st stage: Riga Group 2nd stage: Finals References External links RSSSF 1926 Lat Lat Football Championship
https://en.wikipedia.org/wiki/1927%20Latvian%20Higher%20League
Statistics of Latvian Higher League in the 1927 season. Overview It was contested by 4 teams, and Olimpija won the championship. League standings References RSSSF Latvian Higher League seasons Lat Lat Football
https://en.wikipedia.org/wiki/1928%20Latvian%20Higher%20League
Statistics of Latvian Higher League in the 1928 season. Overview It was contested by 5 teams, and Olimpija won the championship. League standings References RSSSF Latvian Higher League seasons 1 Latvia Latvia