source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Snub%20octaoctagonal%20tiling | In geometry, the snub octaoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,8}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Symmetry
A higher symmetry coloring can be constructed from [8,4] symmetry as s{8,4}, . In this construction there is on... |
https://en.wikipedia.org/wiki/Snub%20tetraoctagonal%20tiling | In geometry, the snub tetraoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,4}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Related polyhedra and tiling
The snub tetraoctagonal tiling is seventh in a series of snub polyhedra and tilings with... |
https://en.wikipedia.org/wiki/2003%E2%80%9304%20Galatasaray%20S.K.%20season | The 2003–04 season was Galatasaray's 100th in existence and the 46th consecutive season in the Süper Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Transfers
In
Out
Süper Lig
Standings
Türkiye Kupası
Se... |
https://en.wikipedia.org/wiki/Claudiu%20Pascariu | Claudiu Dumitru Pascariu (born 25 October 1988) is Romanian footballer who plays as a defender.
Club statistics
Updated to games played as of 3 March 2013.
References
External links
Claudiu Pascariu at fupa.net
1988 births
Living people
Footballers from Arad, Romania
Romanian men's footballers
Men's associati... |
https://en.wikipedia.org/wiki/Kirsti%20Andersen | Kirsti Andersen (born December 9, 1941, Copenhagen), published under the name Kirsti Pedersen, is a Danish historian of mathematics. She is an Associate Professor of the History of Science at Aarhus University, where she had her Candidate examination in 1967.
Work
Andersen has written on the early history of mathemat... |
https://en.wikipedia.org/wiki/2004%E2%80%9305%20Galatasaray%20S.K.%20season | The 2004–05 season was Galatasaray's 101st in existence and the 47th consecutive season in the Süper Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
Süper Lig
Standings
Türkiye Kup... |
https://en.wikipedia.org/wiki/Matroid%20polytope | In mathematics, a matroid polytope, also called a matroid basis polytope (or basis matroid polytope) to distinguish it from other polytopes derived from a matroid, is a polytope constructed via the bases of a matroid. Given a matroid , the matroid polytope is the convex hull of the indicator vectors of the bases of .
... |
https://en.wikipedia.org/wiki/2005%E2%80%9306%20Galatasaray%20S.K.%20season | The 2005–06 season was Galatasaray's 102nd in existence and the 48th consecutive season in the Süper Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
The season also saw a first in Turkish football; for the first time in history ... |
https://en.wikipedia.org/wiki/Alternated%20octagonal%20tiling | In geometry, the tritetragonal tiling or alternated octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of {(4,3,3)} or h{8,3}.
Geometry
Although a sequence of edges seem to represent straight lines (projected into curves), careful attention will show they are not straight, as can be... |
https://en.wikipedia.org/wiki/Cantic%20octagonal%20tiling | In geometry, the tritetratrigonal tiling or shieldotritetragonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2(4,3,3). It can also be named as a cantic octagonal tiling, h2{8,3}.
Dual tiling
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Str... |
https://en.wikipedia.org/wiki/Snub%20order-8%20triangular%20tiling | In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of s{(3,4,3)} and s{3,8}.
Images
Drawn in chiral pairs:
Symmetry
The alternated construction from the truncated order-8 triangular tiling has 2 colors of triangles and ... |
https://en.wikipedia.org/wiki/Alternated%20order-4%20hexagonal%20tiling | In geometry, the alternated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of (3,4,4), h{6,4}, and hr{6,6}.
Uniform constructions
There are four uniform constructions, with some of lower ones which can be seen with two colors of triangles:
Related polyhedra and tiling
R... |
https://en.wikipedia.org/wiki/Cantic%20order-4%20hexagonal%20tiling | In geometry, the cantic order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{(4,4,3)} or h2{6,4}.
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessel... |
https://en.wikipedia.org/wiki/Snub%20order-6%20square%20tiling | In geometry, the snub order-6 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of s{(4,4,3)} or s{4,6}.
Images
Symmetry
The symmetry is doubled as a snub order-6 square tiling, with only one color of square. It has Schläfli symbol of s{4,6}.
Related polyhedra and tiling
The vertex f... |
https://en.wikipedia.org/wiki/Sharath%20Kuniyil | Sharath Kuniyil is a goalkeeper who played for Mumbai FC and Mohammedan in the I-League. He made his debut in a 1-0 defeat by Salgaoca.
Career statistics
Club
Statistics accurate as of 11 May 2013
References
Mumbai FC players
Indian men's footballers
Living people
1986 births
Men's association football goalkeepers
... |
https://en.wikipedia.org/wiki/Log5 | Log5 is a method of estimating the probability that team A will win a game against team B, based on the odds ratio between the estimated winning probability of Team A and Team B against a larger set of teams.
Let and be the average winning probabilities of team A and B and let be the probability of team A winning o... |
https://en.wikipedia.org/wiki/Risk%20inclination%20formula | The risk inclination formula uses the principle of moments, or Varignon's theorem, to calculate the first factorial moment of probability in order to define this center point of balance among all confidence weights (i.e., the point of risk equilibration).
The formal derivation of the RIF is divided into three separate... |
https://en.wikipedia.org/wiki/2006%E2%80%9307%20Galatasaray%20S.K.%20season | The 2006–07 season was Galatasaray's 103rd in existence and the 49th consecutive season in the Süper Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
Süper Lig
Standings
Türkiye Kupası
Grou... |
https://en.wikipedia.org/wiki/2007%E2%80%9308%20Galatasaray%20S.K.%20season | The 2007–08 season was Galatasaray's 104th in existence and the 50th consecutive season in the Süper Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
Süper Lig
Standings
Türkiye Kupası
Grou... |
https://en.wikipedia.org/wiki/Akito%20Kawamoto | is a Japanese football player who plays for Nankatsu SC. He made his debut on 2 March 2013 in a 1–1 draw against Vegalta Sendai.
Club statistics
Updated to 23 February 2016.
References
External links
Profile at Ventforet Kofu
1990 births
Living people
Ryutsu Keizai University alumni
Association football people fro... |
https://en.wikipedia.org/wiki/Kenneth%20Young%20%28physicist%29 | Kenneth Young (楊綱凱 1947) is a professor of physics at the Chinese University of Hong Kong (CUHK). He obtained his BSc in Physics in 1969, and his PhD in Physics and Mathematics at the California Institute of Technology, USA. He took a position at CUHK in 1973, and embarked on a highly regarded career as a theoretical p... |
https://en.wikipedia.org/wiki/Rados%C5%82aw%20Murawski | Radosław Paweł Murawski (born 22 April 1994) is a Polish professional footballer who plays as a midfielder for Lech Poznań.
Career statistics
Honours
Lech Poznań
Ekstraklasa: 2021–22
References
External links
1994 births
Living people
Footballers from Gliwice
Polish men's footballers
Poland men's youth inte... |
https://en.wikipedia.org/wiki/Order-3%20apeirogonal%20tiling | In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane. It is represented by the Schläfli symbol {∞,3}, having three regular apeirogons around each vertex. Each apeirogon is inscribed in a horocycle.
The order-2 apeirogonal tiling represents an infinite dihedron in the Euclidean plane... |
https://en.wikipedia.org/wiki/Infinite-order%20triangular%20tiling | In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,∞}. All vertices are ideal, located at "infinity" and seen on the boundary of the Poincaré hyperbolic disk projection.
Symmetry
A lower symmetry form has alternating colors, and represented by cy... |
https://en.wikipedia.org/wiki/Truncated%20order-3%20apeirogonal%20tiling | In geometry, the truncated order-3 apeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{∞,3}.
Dual tiling
The dual tiling, the infinite-order triakis triangular tiling, has face configuration V3.∞.∞.
Related polyhedra and tiling
This hyperbolic tiling is topologically related a... |
https://en.wikipedia.org/wiki/Triapeirogonal%20tiling | In geometry, the triapeirogonal tiling (or trigonal-horocyclic tiling) is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r{∞,3}.
Uniform colorings
The half-symmetry form, , has two colors of triangles:
Related polyhedra and tiling
This hyperbolic tiling is topologically related as a part of sequ... |
https://en.wikipedia.org/wiki/Truncated%20infinite-order%20triangular%20tiling | In geometry, the truncated infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{3,∞}.
Symmetry
The dual of this tiling represents the fundamental domains of *∞33 symmetry. There are no mirror removal subgroups of [(∞,3,3)], but this symmetry group can be doubled to ... |
https://en.wikipedia.org/wiki/Rhombitriapeirogonal%20tiling | In geometry, the rhombtriapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of rr{∞,3}.
Symmetry
This tiling has [∞,3], (*∞32) symmetry. There is only one uniform coloring.
Similar to the Euclidean rhombitrihexagonal tiling, by edge-coloring there is a half symmetry form (3*∞) orbi... |
https://en.wikipedia.org/wiki/Truncated%20triapeirogonal%20tiling | In geometry, the truncated triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of tr{∞,3}.
Symmetry
The dual of this tiling represents the fundamental domains of [∞,3], *∞32 symmetry. There are 3 small index subgroup constructed from [∞,3] by mirror removal and alternation. In the... |
https://en.wikipedia.org/wiki/Snub%20triapeirogonal%20tiling | In geometry, the snub triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of sr{∞,3}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
The dual tiling:
Related polyhedra and tiling
This hyperbolic tiling is topologically related as a part of sequence o... |
https://en.wikipedia.org/wiki/D%C3%A1vid%20M%C3%A1rkv%C3%A1rt | Dávid Márkvárt (born 20 September 1994) is a Hungarian football player who plays for Szeged.
Club career
On 21 June 2021, Márkvárt signed with Vasas.
Club statistics
Updated to games played as of 20 May 2021.
References
External links
HLSZ
MLSZ
1994 births
Living people
Footballers from Szekszárd
Hungarian me... |
https://en.wikipedia.org/wiki/Tetraapeirogonal%20tiling | In geometry, the tetraapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r{∞,4}.
Uniform constructions
There are 3 lower symmetry uniform construction, one with two colors of apeirogons, one with two colors of squares, and one with two colors of each:
Symmetry
The dual to this ti... |
https://en.wikipedia.org/wiki/Infinite-order%20square%20tiling | In geometry, the infinite-order square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.
Uniform colorings
There is a half symmetry form, , seen with alternating colors:
S... |
https://en.wikipedia.org/wiki/Truncated%20order-4%20apeirogonal%20tiling | In geometry, the truncated order-4 apeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{∞,4}.
Uniform colorings
A half symmetry coloring is tr{∞,∞}, has two types of apeirogons, shown red and yellow here. If the apeirogonal curvature is too large, it doesn't converge to a singl... |
https://en.wikipedia.org/wiki/Order-4%20apeirogonal%20tiling | In geometry, the order-4 apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,4}.
Symmetry
This tiling represents the mirror lines of *2∞ symmetry. It dual to this tiling represents the fundamental domains of orbifold notation *∞∞∞∞ symmetry, a square domain with four ideal vert... |
https://en.wikipedia.org/wiki/Truncated%20infinite-order%20square%20tiling | In geometry, the truncated infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}.
Uniform color
In (*∞44) symmetry this tiling has 3 colors. Bisecting the isosceles triangle domains can double the symmetry to *∞42 symmetry.
Symmetry
The dual of the tiling represen... |
https://en.wikipedia.org/wiki/Truncated%20tetraapeirogonal%20tiling | In geometry, the truncated tetraapeirogonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one octagon, and one apeirogon on each vertex. It has Schläfli symbol of tr{∞,4}.
Related polyhedra and tilings
Symmetry
The dual of this tiling represents the fundamental domains of [∞,4], (*∞4... |
https://en.wikipedia.org/wiki/Rhombitetraapeirogonal%20tiling | In geometry, the rhombitetraapeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of rr{∞,4}.
Constructions
There are two uniform constructions of this tiling, one from [∞,4] or (*∞42) symmetry, and secondly removing the mirror middle, [∞,1+,4], gives a rectangular fundamental domain ... |
https://en.wikipedia.org/wiki/Snub%20tetraapeirogonal%20tiling | In geometry, the snub tetraapeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{∞,4}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Related polyhedra and tiling
The snub tetrapeirogonal tiling is last in an infinite series of snub polyhedra and ti... |
https://en.wikipedia.org/wiki/Apeirogonal%20tiling | In geometry, an apeirogonal tiling is a tessellation of the Euclidean plane, hyperbolic plane, or some other two-dimensional space by apeirogons. Tilings of this type include:
Order-2 apeirogonal tiling, Euclidean tiling of two half-spaces
Order-3 apeirogonal tiling, hyperbolic tiling with 3 apeirogons around a vertex
... |
https://en.wikipedia.org/wiki/Georgia%20Benkart | Georgia McClure Benkart (December 30, 1947 – April 29, 2022) was an American mathematician who was known for her work in the structure and representation theory of Lie algebras and related algebraic structures.
She published over 130 journal articles and co-authored three American Mathematical Society memoirs in four b... |
https://en.wikipedia.org/wiki/Samuela%20Kautoga | Samuela Kautoga is a Fijian footballer who lives in New Zealand and plays as a defender for Manukau United.
Career statistics
Scores and results list Fiji's goal tally first, score column indicates score after each Kautoga goal.
Honours
2017 Fiji Football Association Cup Tournament Player of the Tournament
Refer... |
https://en.wikipedia.org/wiki/Shafarevich%E2%80%93Weil%20theorem | In algebraic number theory, the Shafarevich–Weil theorem relates the fundamental class of a Galois extension of local or global fields to an extension of Galois groups. It was introduced by for local fields and by for global fields.
Statement
Suppose that F is a global field, K is a normal extension of F, and L is ... |
https://en.wikipedia.org/wiki/Shafarevich%20theorem | In mathematics, the Shafarevich theorem, named for Igor Shafarevich, may refer to:
Néron–Ogg–Shafarevich criterion
Golod–Shafarevich theorem about class field towers
Grothendieck–Ogg–Shafarevich formula
Shafarevich's theorem on solvable Galois groups
Shafarevich–Weil theorem about the fundamental class in class field ... |
https://en.wikipedia.org/wiki/Onsager%E2%80%93Machlup%20function | The Onsager–Machlup function is a function that summarizes the dynamics of a continuous stochastic process. It is used to define a probability density for a stochastic process, and it is similar to the Lagrangian of a dynamical system. It is named after Lars Onsager and who were the first to consider such probability ... |
https://en.wikipedia.org/wiki/Givi%20Ioseliani | Givi Ioseliani (born 25 October 1990 in Tbilisi) is a Georgian football player who currently plays for Samtredia.
Club statistics
Updated to games played as of 12 May 2013.
References
Sources
MLSZ
1990 births
Living people
Footballers from Tbilisi
Men's footballers from Georgia (country)
Georgia (country) men'... |
https://en.wikipedia.org/wiki/Tangent%20space%20to%20a%20functor | In algebraic geometry, the tangent space to a functor generalizes the classical construction of a tangent space such as the Zariski tangent space. The construction is based on the following observation. Let X be a scheme over a field k.
To give a -point of X is the same thing as to give a k-rational point p of X (i.e.... |
https://en.wikipedia.org/wiki/Signy%20Arctander | Signy Arctander (26 October 1895 – 23 September 1971) was a Norwegian statistician and economist. She was born in Bergen, a daughter of politician Sofus Arctander. She was appointed at the Statistics Norway from 1920, and worked for this institution until her retirement in 1965; from 1960 to 1963 as acting director. Am... |
https://en.wikipedia.org/wiki/Infinite-order%20apeirogonal%20tiling | In geometry, the infinite-order apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,∞}, which means it has countably infinitely many apeirogons around all its ideal vertices.
Symmetry
This tiling represents the fundamental domains of *∞∞ symmetry.
Uniform colorings
This tili... |
https://en.wikipedia.org/wiki/Snub%20apeiroapeirogonal%20tiling | In geometry, the snub apeiroapeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of s{∞,∞}. It has 3 equilateral triangles and 2 apeirogons around every vertex, with vertex figure 3.3.∞.3.∞.
Dual tiling
Related polyhedra and tiling
The snub tetrapeirogonal tiling is last in an inf... |
https://en.wikipedia.org/wiki/Circular%20analysis | In statistics, circular analysis is the selection of the details of a data analysis using the data that is being analysed. It is often referred to as double dipping, as one uses the same data twice. Circular analysis unjustifiably inflates the apparent statistical strength of any results reported and, at the most extre... |
https://en.wikipedia.org/wiki/Influential%20observation | In statistics, an influential observation is an observation for a statistical calculation whose deletion from the dataset would noticeably change the result of the calculation. In particular, in regression analysis an influential observation is one whose deletion has a large effect on the parameter estimates.
Assessme... |
https://en.wikipedia.org/wiki/Gender%20gaps%20in%20mathematics%20and%20reading | The gender gaps in mathematics and reading achievement refer to the finding that, on average, the two sexes perform differently in mathematics and reading skills on tests. On average, boys and men exceed in mathematics, while girls and women exceed in reading skills.
Mathematics and reading gaps by country
The Progra... |
https://en.wikipedia.org/wiki/List%20of%20East%20Stirlingshire%20F.C.%20records%20and%20statistics | East Stirlingshire F.C. is a Scottish association football club from Falkirk. The club was founded in 1881 joined the Scottish Football League in 1900.
This list encompasses the major honours won by East Stirlingshire, records set by the club, its managers and its players. The player records section includes details ... |
https://en.wikipedia.org/wiki/Shih%20Su-mei | Shih Su-mei (; born 20 July 1952) is a Taiwanese politician. She was the Minister of the Directorate General of Budget, Accounting and Statistics of the Executive Yuan from 2008 to 2016.
Education
Shih earned her bachelor's degree in business administration from National Taiwan University.
References
1952 births
Liv... |
https://en.wikipedia.org/wiki/Adam%20Deja | Adam Deja (born 24 June 1993) is a Polish professional footballer who plays as a midfielder for Górnik Łęczna.
Career statistics
Club
References
1993 births
Living people
People from Olesno
Footballers from Opole Voivodeship
Polish men's footballers
Men's association football midfielders
Ekstraklasa players
I liga ... |
https://en.wikipedia.org/wiki/Architectonic%20and%20catoptric%20tessellation | In geometry, John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space groups and their duals, as three-dimensional analogue of the Platonic, Archimedean, and Catalan tiling of the plane. The singular vertex figure of an archi... |
https://en.wikipedia.org/wiki/Furug%20Qodirov | Furug Qodirov is a Tajikistani footballer who plays as a defender for CSKA Pomir Dushanbe.
Career statistics
International
Statistics accurate as of match played 23 July 2011
References
External links
1992 births
Living people
Tajikistani men's footballers
Tajikistan men's international footballers
Men's associ... |
https://en.wikipedia.org/wiki/Arthur%20Stanley%20Ramsey | Arthur Stanley Ramsey (9 September 1867 – 31 December 1954) was a British mathematician and author of mathematics and physics textbooks. He was Fellow of Magdalene College, Cambridge, and its President from 1915–52.
Biography
The son of Rev. Adam Averell Ramsey of Dewsbury, a Congregational minister, and his wife Hep... |
https://en.wikipedia.org/wiki/Roshdi%20Rashed | Roshdi Rashed (Arabic: رشدي راشد), born in Cairo in 1936, is a mathematician, philosopher and historian of science, whose work focuses largely on mathematics and physics of the medieval Arab world. His work explores and illuminates the unrecognized Arab scientific tradition, being one of the first historians to study i... |
https://en.wikipedia.org/wiki/Non-autonomous%20system%20%28mathematics%29 | In mathematics, an autonomous system is a dynamic equation on a smooth manifold. A non-autonomous system is a dynamic equation on a smooth fiber bundle over . For instance, this is the case of non-autonomous mechanics.
An r-order differential equation on a fiber bundle is represented by a closed subbundle of a jet b... |
https://en.wikipedia.org/wiki/Midpoint%20%28disambiguation%29 | A midpoint is the middle point of a line segment in geometry.
Midpoint may also refer to:
Midpoint (astrology)
Midpoint (company)
Midpoint (screenwriting)
Midpoint (album), a 2022 album by Tom Chaplin
Midpoint Café, a restaurant, souvenir and antique shop on US Route 66 in Adrian, Texas
Midpoint Memorial Bridge... |
https://en.wikipedia.org/wiki/Montserrat%20Teixidor%20i%20Bigas | Montserrat Teixidor i Bigas (born February 25, 1958) is a Spanish-American academic who is a professor of mathematics at Tufts University in Medford, Massachusetts. She specializes in algebraic geometry, especially Moduli of Vector Bundles on curves.
Education
Teixidor i Bigas was born in Barcelona in 1958. She earne... |
https://en.wikipedia.org/wiki/Stirling%20permutation | In combinatorial mathematics, a Stirling permutation of order k is a permutation of the multiset 1, 1, 2, 2, ..., k, k (with two copies of each value from 1 to k) with the additional property that, for each value i appearing in the permutation, the values between the two copies of i are larger than i. For instance, the... |
https://en.wikipedia.org/wiki/Robert%20Sinclair%20MacKay | Robert Sinclair MacKay (born 1956) is a British mathematician and professor at the University of Warwick. He researches dynamical systems, the calculus of variations, Hamiltonian dynamics and applications to complex systems in physics, engineering, chemistry, biology and economics.
Education
MacKay was educated at Ne... |
https://en.wikipedia.org/wiki/Relativistic%20system%20%28mathematics%29 | In mathematics, a non-autonomous system of ordinary differential equations is defined to be a dynamic equation on a smooth fiber bundle over . For instance, this is the case of non-relativistic non-autonomous mechanics, but not relativistic mechanics. To describe relativistic mechanics, one should consider a system o... |
https://en.wikipedia.org/wiki/Susan%20Montgomery | M. Susan Montgomery (born 2 April 1943 in Lansing, MI) is a distinguished American mathematician whose current research interests concern noncommutative algebras: in particular, Hopf algebras, their structure and representations, and their actions on other algebras. Her early research was on group actions on rings.
... |
https://en.wikipedia.org/wiki/Federal%20Statistical%20System%20of%20the%20United%20States | The Federal Statistical System of the United States is the decentralized network of federal agencies which produce data and official statistics about the people, economy, natural resources, and infrastructure of the United States.
Background
In contrast to many other countries, the United States does not have a primar... |
https://en.wikipedia.org/wiki/Igor%20Fernandes | Igor Fernandes da Silva Araújo (born 6 June 1992), known as Igor Fernandes, is a Brazilian footballer who plays as a left back for São Bernardo.
Career statistics
Honours
Corinthians
Campeonato Paulista: 2013
Recopa Sudamericana: 2013
Sport Recife
Copa do Nordeste: 2014
Avaí
Campeonato Catarinense: 2019
Remo
Copa... |
https://en.wikipedia.org/wiki/Adra%2C%20Syria | Adra () is a town in southern Syria, administratively part of the Rif Dimashq Governorate, located northeast of Damascus. According to the Syria Central Bureau of Statistics, the town had a population of 20,559 in the 2004 census. The Hujr ibn Adi Mosque is located in the town.
Summary
Adra is the site of Syria's larg... |
https://en.wikipedia.org/wiki/Order-5%20hexagonal%20tiling | In geometry, the order-5 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,5}.
Related polyhedra and tiling
This tiling is topologically related as a part of sequence of regular tilings with order-5 vertices with Schläfli symbol {n,5}, and Coxeter diagram , progressing to infi... |
https://en.wikipedia.org/wiki/Order-6%20pentagonal%20tiling | In geometry, the order-6 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,6}.
Uniform coloring
This regular tiling can also be constructed from [(5,5,3)] symmetry alternating two colors of pentagons, represented by t1(5,5,3).
Symmetry
This tiling represents a hyperbolic ka... |
https://en.wikipedia.org/wiki/Truncated%20pentahexagonal%20tiling | In geometry, the truncated tetrahexagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one decagon, and one dodecagon on each vertex. It has Schläfli symbol of t0,1,2{6,5}. Its name is somewhat misleading: literal geometric truncation of pentahexagonal tiling produces rectangles instead... |
https://en.wikipedia.org/wiki/James%20Oxley | James G. Oxley is an Australian–American mathematician, Boyd Professor of Mathematics at Louisiana State University. He is known for his expertise in matroid theory and graph theory.
Oxley did his undergraduate studies in Australia, and earned a doctorate from the University of Oxford in 1978, under the supervision of... |
https://en.wikipedia.org/wiki/Truncated%20order-5%20hexagonal%20tiling | In geometry, the truncated order-5 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{6,5}.
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
Se... |
https://en.wikipedia.org/wiki/Pentahexagonal%20tiling | In geometry, the pentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of r{6,5} or t1{6,5}.
Uniform colorings
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tess... |
https://en.wikipedia.org/wiki/Truncated%20order-6%20pentagonal%20tiling | In geometry, the truncated order-6 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2{6,5}.
Uniform colorings
Symmetry
The dual of this tiling represents the fundamental domains of the *553 symmetry. There are no mirror removal subgroups of [(5,5,3)], but this symmetry grou... |
https://en.wikipedia.org/wiki/Rhombipentahexagonal%20tiling | In geometry, the rhombipentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,2{6,5}.
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
See also
... |
https://en.wikipedia.org/wiki/Snub%20pentahexagonal%20tiling | In geometry, the snub pentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,5}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things... |
https://en.wikipedia.org/wiki/Order-6%20octagonal%20tiling | In geometry, the order-6 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,6}.
Symmetry
This tiling represents a hyperbolic kaleidoscope of 8 mirrors meeting at a point and bounding regular octagon fundamental domains. This symmetry by orbifold notation is called *33333333 wit... |
https://en.wikipedia.org/wiki/Truncated%20hexaoctagonal%20tiling | In geometry, the truncated hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one dodecagon, and one hexakaidecagon on each vertex. It has Schläfli symbol of tr{8,6}.
Dual tiling
Symmetry
There are six reflective subgroup kaleidoscopic constructed from [8,6] by removing one ... |
https://en.wikipedia.org/wiki/Order-8%20hexagonal%20tiling | In geometry, the order-8 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,8}.
Uniform constructions
There are four uniform constructions of this tiling, three of them as constructed by mirror removal from the [8,6] kaleidoscope. Removing the mirror between the order 2 and 6 p... |
https://en.wikipedia.org/wiki/Truncated%20order-6%20octagonal%20tiling | In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{8,6}.
Uniform colorings
A secondary construction t{(8,8,3)} is called a truncated trioctaoctagonal tiling:
Symmetry
The dual to this tiling represent the fundamental domains of [(8,8,3)] (*8... |
https://en.wikipedia.org/wiki/Hexaoctagonal%20tiling | In geometry, the hexaoctagonal tiling is a uniform tiling of the hyperbolic plane.
Constructions
There are four uniform constructions of this tiling, three of them as constructed by mirror removal from the [8,6] kaleidoscope. Removing the mirror between the order 2 and 4 points, [8,6,1+], gives [(8,8,3)], (*883). Rem... |
https://en.wikipedia.org/wiki/Rhombihexaoctagonal%20tiling | In geometry, the rhombihexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. It has Schläfli symbol of rr{8,6}.
Symmetry
The dual tiling, called a deltoidal hexaoctagonal tiling represent the fundamental domains of *4232 symmetry, a half symmetry of [8,6], (*862) as [8,1+,6].
Related polyhedra and ti... |
https://en.wikipedia.org/wiki/Truncated%20order-8%20hexagonal%20tiling | In geometry, the truncated order-8 hexagonal tiling is a semiregular tiling of the hyperbolic plane. It has Schläfli symbol of t{6,8}.
Uniform colorings
This tiling can also be constructed from *664 symmetry, as t{(6,6,4)}.
Related polyhedra and tilings
From a Wythoff construction there are fourteen hyperbolic uni... |
https://en.wikipedia.org/wiki/Snub%20hexaoctagonal%20tiling | In geometry, the snub hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are three triangles, one hexagon, and one octagon on each vertex. It has Schläfli symbol of sr{8,6}.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Related polyhedra and tilings
From a Wyth... |
https://en.wikipedia.org/wiki/Moderation%20%28disambiguation%29 | Moderation is the process of eliminating or lessening extremes.
Moderation can also refer to:
Moderation (statistics), when the relationship between two variables depends on a third variable
Moderation (Internet), the practice of managing discussion on an online forum
Moderation (game), the practice of refereeing ... |
https://en.wikipedia.org/wiki/HOSVD-based%20canonical%20form%20of%20TP%20functions%20and%20qLPV%20models | Based on the key idea of higher-order singular value decomposition (HOSVD) in tensor algebra, Baranyi and Yam proposed the concept of HOSVD-based canonical form of TP functions and quasi-LPV system models. Szeidl et al. proved that the TP model transformation is capable of numerically reconstructing this canonical form... |
https://en.wikipedia.org/wiki/Fbsp%20wavelet | In applied mathematics, fbsp wavelets are frequency B-spline wavelets.
fbsp m-fb-fc
These frequency B-spline wavelets are complex wavelets whose spectrum are spline.
where sinc function that appears in Shannon sampling theorem.
m > 1 is the order of the spline
fb is a bandwidth parameter
fc is the wavelet cen... |
https://en.wikipedia.org/wiki/Superscripts%20and%20Subscripts%20%28Unicode%20block%29 | Superscripts and Subscripts is a Unicode block containing superscript and subscript numerals, mathematical operators, and letters used in mathematics and phonetics. The use of subscripts and superscripts in Unicode allows any polynomial, chemical and certain other equations to be represented in plain text without using... |
https://en.wikipedia.org/wiki/Lokutu | Lokutu (sometimes spelled Lukutu) is a town in Tshopo province, Democratic Republic of the Congo. It is on the west bank of the Congo River, and was formerly named Elisabetha.
Local Statistics
Lokutu has 747 kilometres of operational roads. It also have 1,985 houses, 6000 schools, two hospitals, 64 gun stores, eight ... |
https://en.wikipedia.org/wiki/Parent%20function | In mathematics, a parent function is the core representation of a function type without manipulations such as translation and dilation. For example, for the family of quadratic functions having the general form
the simplest function is
.
This is therefore the parent function of the family of quadratic equations.
For ... |
https://en.wikipedia.org/wiki/Mohammed%20Huwaidi%20Al-Hooti | Mohammed Huwaidi Al-Hooti (; born 19 January 1986), commonly known as Mohammed Huwaidi, is an Omani footballer who plays as a goalkeeper for Al-Nahda Club.
Club career statistics
International career
Mohammed was selected for the national team for the first time in 2007. He has made appearances in the 2011 AFC Asian ... |
https://en.wikipedia.org/wiki/Mansoor%20Al-Nuaimi | Mansoor Ghamil Al-Nuaimi (; born 13 February 1989), commonly known as Mansoor Al-Nuaimi, is an Omani footballer who plays for Al-Nahda Club.
Club career statistics
International career
Mansoor is part of the first team squad of the Oman national football team. He was selected for the national team for the first time ... |
https://en.wikipedia.org/wiki/Drew%20Cannon | Drew Cannon (born April 21, 1990) is an American statistician and sports writer who currently works on the Boston Celtics staff.
As a child, Cannon was fascinated by sports statistics and, after reading the work of Bill James, began to design his own statistical projects to analyze sports. At age 15, he got an intern... |
https://en.wikipedia.org/wiki/Restricted%20root%20system | In mathematics, restricted root systems, sometimes called relative root systems, are the root systems associated with a symmetric space. The associated finite reflection group is called the restricted Weyl group. The restricted root system of a symmetric space and its dual can be identified. For symmetric spaces of non... |
https://en.wikipedia.org/wiki/Riesz%E2%80%93Markov%E2%80%93Kakutani%20representation%20theorem | In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space to measures in measure theory. The theorem is named for who introduced it for continuous functions on the unit interval, who extended the result to some non-compact... |
https://en.wikipedia.org/wiki/Dahan%20%28surname%29 | Dahan is a surname. Notable people with the surname include:
Amy Dahan, French mathematician and historian of mathematics and climate change
Dudu Dahan, former Israeli football player
Mor Dahan, Israeli football player
Nissim Dahan, Israeli politician
Olivier Dahan, French film director and screenwriter
Theodosius V Da... |
https://en.wikipedia.org/wiki/Mabinogion%20sheep%20problem | In probability theory, the Mabinogion sheep problem or Mabinogian urn is a problem in stochastic control introduced by , who named it after a herd of magic sheep in the Welsh collection of tales, the Mabinogion.
Statement
At time t = 0 there is a herd of sheep each of which is black or white. At each time t = 1, 2, .... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.