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https://en.wikipedia.org/wiki/Yusuke%20Segawa | is a Japanese professional footballer who plays as a forward or a winger for club Kawasaki Frontale.
Club statistics
.
References
External links
Profile at Thespakusatsu Gunma
1994 births
Living people
Meiji University alumni
Association football people from Tokyo
Japanese men's footballers
J1 League players
J2 League players
Thespakusatsu Gunma players
Omiya Ardija players
Kashiwa Reysol players
Shonan Bellmare players
Kawasaki Frontale players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Dixon%20elliptic%20functions | In mathematics, the Dixon elliptic functions sm and cm are two elliptic functions (doubly periodic meromorphic functions on the complex plane) that map from each regular hexagon in a hexagonal tiling to the whole complex plane. Because these functions satisfy the identity , as real functions they parametrize the cubic Fermat curve , just as the trigonometric functions sine and cosine parametrize the unit circle .
They were named sm and cm by Alfred Dixon in 1890, by analogy to the trigonometric functions sine and cosine and the Jacobi elliptic functions sn and cn; Göran Dillner described them earlier in 1873.
Definition
The functions sm and cm can be defined as the solutions to the initial value problem:
Or as the inverse of the Schwarz–Christoffel mapping from the complex unit disk to an equilateral triangle, the Abelian integral:
which can also be expressed using the hypergeometric function:
Parametrization of the cubic Fermat curve
Both sm and cm have a period along the real axis of with the beta function and the gamma function:
They satisfy the identity . The parametric function parametrizes the cubic Fermat curve with representing the signed area lying between the segment from the origin to , the segment from the origin to , and the Fermat curve, analogous to the relationship between the argument of the trigonometric functions and the area of a sector of the unit circle. To see why, apply Green's theorem:
Notice that the area between the and can be broken into three pieces, each of area :
Symmetries
The function has zeros at the complex-valued points for any integers and , where is a cube root of unity, (that is, is an Eisenstein integer). The function has zeros at the complex-valued points . Both functions have poles at the complex-valued points .
On the real line, , which is analogous to .
Fundamental reflections, rotations, and translations
Both and commute with complex conjugation,
Analogous to the parity of trigonometric functions (cosine an even function and sine an odd function), the Dixon function is invariant under turn rotations of the complex plane, and turn rotations of the domain of cause turn rotations of the codomain:
Each Dixon elliptic function is invariant under translations by the Eisenstein integers scaled by
Negation of each of and is equivalent to a translation of the other,
For translations by give
Specific values
More specific values
Sum and difference identities
The Dixon elliptic functions satisfy the argument sum and difference identities:
These formulas can be used to compute the complex-valued functions in real components:
Multiple-argument identities
Argument duplication and triplication identities can be derived from the sum identity:
From these formulas it can be deduced that expressions in form and are either signless infinities, or origami-constructibles for any (In this paragraph, set of all origami-constructibles ). Because by finding |
https://en.wikipedia.org/wiki/Quasi-sphere | In mathematics and theoretical physics, a quasi-sphere is a generalization of the hypersphere and the hyperplane to the context of a pseudo-Euclidean space. It may be described as the set of points for which the quadratic form for the space applied to the displacement vector from a centre point is a constant value, with the inclusion of hyperplanes as a limiting case.
Notation and terminology
This article uses the following notation and terminology:
A pseudo-Euclidean vector space, denoted , is a real vector space with a nondegenerate quadratic form with signature . The quadratic form is permitted to be definite (where or ), making this a generalization of a Euclidean vector space.
A pseudo-Euclidean space, denoted , is a real affine space in which displacement vectors are the elements of the space . It is distinguished from the vector space.
The quadratic form acting on a vector , denoted , is a generalization of the squared Euclidean distance in a Euclidean space. Élie Cartan calls the scalar square of .
The symmetric bilinear form acting on two vectors is denoted or . This is associated with the quadratic form .
Two vectors are orthogonal if .
A normal vector at a point of a quasi-sphere is a nonzero vector that is orthogonal to each vector in the tangent space at that point.
Definition
A quasi-sphere is a submanifold of a pseudo-Euclidean space consisting of the points for which the displacement vector from a reference point satisfies the equation
,
where and .
Since in permitted, this definition includes hyperplanes; it is thus a generalization of generalized circles and their analogues in any number of dimensions. This inclusion provides a more regular structure under conformal transformations than if they are omitted.
This definition has been generalized to affine spaces over complex numbers and quaternions by replacing the quadratic form with a Hermitian form.
A quasi-sphere in a quadratic space has a counter-sphere . Furthermore, if and is an isotropic line in through , then , puncturing the union of quasi-sphere and counter-sphere. One example is the unit hyperbola that forms a quasi-sphere of the hyperbolic plane, and its conjugate hyperbola, which is its counter-sphere.
Geometric characterizations
Centre and radial scalar square
The centre of a quasi-sphere is a point that has equal scalar square from every point of the quasi-sphere, the point at which the pencil of lines normal to the tangent hyperplanes meet. If the quasi-sphere is a hyperplane, the centre is the point at infinity defined by this pencil.
When , the displacement vector of the centre from the reference point and the radial scalar square may be found as follows. We put , and comparing to the defining equation above for a quasi-sphere, we get
The case of may be interpreted as the centre being a well-defined point at infinity with either infinite or zero radial scalar square (the latter for the case of a null hyperpl |
https://en.wikipedia.org/wiki/Tomohiko%20Murayama | is a Japanese footballer who plays for Matsumoto Yamaga.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Shonan Bellmare
1987 births
Living people
People from Ichihara, Chiba
Shizuoka Sangyo University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J1 League players
J2 League players
Japan Football League players
Sagawa Shiga FC players
Matsumoto Yamaga FC players
Shonan Bellmare players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Tiberiu%20Popoviciu%20Institute%20of%20Numerical%20Analysis | The Tiberiu Popoviciu Institute of Numerical Analysis (ICTP) is a mathematics research institute of the Romanian Academy, based in Cluj-Napoca, Romania.
ICTP is coordinated by the Mathematical Section and belongs to the Cluj-Napoca Branch of the Romanian Academy. The Institute performs fundamental research mainly in the field of Numerical Analysis.
ICTP was founded in 1951, as the Mathematical Section of the Cluj-Napoca Branch, with residence at 37 Republicii Street.
References
External links
Mathematical institutes
Research institutes in Romania
Research institutes established in 1951
1951 establishments in Romania |
https://en.wikipedia.org/wiki/Koya%20Kitagawa | is a Japanese professional footballer who plays as a forward or a winger for Shimizu S-Pulse.
Career statistics
Club
International
References
External links
Profile at Shimizu S-Pulse
1996 births
Living people
Japanese men's footballers
Men's association football forwards
Japan men's international footballers
2019 AFC Asian Cup players
J.League U-22 Selection players
J1 League players
J2 League players
J3 League players
Austrian Football Bundesliga players
Shimizu S-Pulse players
SK Rapid Wien players
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Austria
Expatriate men's footballers in Austria
Association football people from Shizuoka (city) |
https://en.wikipedia.org/wiki/Shota%20Kaneko | is a Japanese footballer who plays for Júbilo Iwata.
Club statistics
Updated to 18 February 2019.
References
External links
Profile at Shimizu S-Pulse
1995 births
Living people
Association football people from Tochigi Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Shimizu S-Pulse players
Tochigi SC players
J.League U-22 Selection players
Júbilo Iwata players
Men's association football forwards
Association football people from Shizuoka (city) |
https://en.wikipedia.org/wiki/Colette%20Moeglin | Colette Moeglin (born 1953) is a French mathematician, working in the field of automorphic forms, a topic at the intersection of number theory and representation theory.
Career and distinctions
Moeglin is a Directeur de recherche at the Centre national de la recherche scientifique and is currently working at the Institut de mathématiques de Jussieu. She was a speaker at the 1990 International Congress of Mathematicians, on decomposition into distinguished subspaces of certain spaces of square-integral automorphic forms.
She was a recipient of the Jaffé prize of the French Academy of Sciences in 2004, "for her work, most notably on the topics of enveloping algebras of Lie algebras, automorphic forms and the classification of square-integrable representations of reductive classical p-adic groups by their cuspidal representations". She was the chief editor of the Journal of the Institute of Mathematics of Jussieu from 2002 to 2006.
She became a member of the Academia Europaea in 2019.
Mathematical contributions
She has done work both in the pure representation theory of Lie groups real or p-adic (the study of unitary representations of those groups) and in the study of the "automorphic spectrum" of arithmetic groups (the study of those unitary representations which have an arithmetic significance), especially in the area of the Langlands programme.
A prominent example of her achievements in the former is her classification, obtained with Jean-Loup Waldspurger, of the non-cuspidal discrete factors in the decomposition into irreducible components of the spaces of square-integrable invariant functions on adelic general linear groups.
For this purpose it was first necessary to write down in a rigorous form the general theory of Eisenstein series laid down years earlier by Langlands, which they did in a seminar in Paris the content of which was later published in book form.
Another notable work in the domain, with Waldspurger and Marie-France Vignéras, is a book on the Howe correspondence. With Waldspurger, Moeglin completed the proof of the local Gan–Gross–Prasad conjecture for generic L-packets of representations of orthogonal groups in 2012.
She did much work on the programme of James Arthur to classify automorphic representations of classical groups, and she was invited to present Arthur's ultimate solution to his conjectures at the Bourbaki seminar.
Selected publications
References
External links
Homepage at IMJ
Living people
20th-century French mathematicians
21st-century French mathematicians
1953 births
Members of Academia Europaea |
https://en.wikipedia.org/wiki/Keisuke%20Tanabe | is a Japanese footballer who plays for Roasso Kumamoto.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at Roasso Kumamoto
Profile at FC Ryukyu
1992 births
Living people
Chuo University alumni
Association football people from Saitama Prefecture
Japanese men's footballers
J2 League players
J3 League players
FC Ryukyu players
Roasso Kumamoto players
Kagoshima United FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Folded-t%20and%20half-t%20distributions | In statistics, the folded-t and half-t distributions are derived from Student's t-distribution by taking the absolute values of variates. This is analogous to the folded-normal and the half-normal statistical distributions being derived from the normal distribution.
Definitions
The folded non-standardized t distribution is the distribution of the absolute value of the non-standardized t distribution with degrees of freedom; its probability density function is given by:
.
The half-t distribution results as the special case of , and the standardized version as the special case of .
If , the folded-t distribution reduces to the special case of the half-t distribution. Its probability density function then simplifies to
.
The half-t distribution's first two moments (expectation and variance) are given by:
,
and
.
Relation to other distributions
Folded-t and half-t generalize the folded normal and half-normal distributions by allowing for finite degrees-of-freedom (the normal analogues constitute the limiting cases of infinite degrees-of-freedom). Since the Cauchy distribution constitutes the special case of a Student-t distribution with one degree of freedom, the families of folded and half-t distributions include the folded Cauchy distribution and half-Cauchy distributions for .
See also
Folded normal distribution
Half-normal distribution
Modified half-normal distribution
Half-logistic distribution
References
Further reading
External links
Functions to evaluate half-t distributions are available in several R packages, e.g. .
Continuous distributions |
https://en.wikipedia.org/wiki/Bienaym%C3%A9%27s%20identity | In probability theory, the general form of Bienaymé's identity states that
.
This can be simplified if are pairwise independent or just uncorrelated, integrable random variables, each with finite second moment. This simplification gives:
.
Bienaymé's identity may be used in proving certain variants of the law of large numbers.
See also
Propagation of error
Markov chain central limit theorem
References
Algebra of random variables |
https://en.wikipedia.org/wiki/%C3%89lie%20Salomon%20Fran%C3%A7ois%20Reverdil | Élie Salomon François Reverdil (1732–1808) was a Swiss scholar.
Reverdil studied theology in Geneva, and was employed as a professor in mathematics at the academy of arts in Copenhagen in 1758. In 1760, he became a tutor to the future Christian VII of Denmark. When Christian became king in 1766, Reverdil was appointed reader and cabinet secretary. In 1767, he was exiled, likely because of the influence of the king's favorite Conrad Holck, and settled in Switzerland. In June 1771, Reverdil was recalled to Denmark by Struensee to become the companion and caretaker of the by now mentally ill king. He was exiled again after the fall of Struensee and returned to Switzerland.
He published memoirs of his time at the Danish court.
References
Court of Christian VII of Denmark
Danish royal favourites
18th-century writers from the Republic of Geneva
18th-century Danish mathematicians
1732 births
1808 deaths
Swiss memoirists
Danish courtiers |
https://en.wikipedia.org/wiki/Koki%20Otani | is a Japanese professional footballer who plays as a goalkeeper for J1 League club Hokkaido Consadole Sapporo.
Career statistics
References
External links
Profile at Hokkaido Consadole Sapporo
1989 births
Living people
Japanese men's footballers
J1 League players
J2 League players
Urawa Red Diamonds players
Giravanz Kitakyushu players
Albirex Niigata players
Hokkaido Consadole Sapporo players
Men's association football goalkeepers
Association football people from Kumamoto |
https://en.wikipedia.org/wiki/Naoki%20Otani | is a Japanese footballer who plays for Tochigi SC.
Club statistics
Updated to end of 2018 season.
References
External links
Profile at Machida Zelvia
Profile at Sanfrecce Hiroshima
1995 births
Living people
Association football people from Hiroshima Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Sanfrecce Hiroshima players
Roasso Kumamoto players
FC Machida Zelvia players
Ehime FC players
Tochigi SC players
J.League U-22 Selection players
Men's association football defenders |
https://en.wikipedia.org/wiki/Madison%20Keys%20career%20statistics | This is a list of the main career statistics of American professional tennis player, Madison Keys. To date, Keys has won seven WTA singles titles, including one WTA 1000, five WTA 500, and reached four more finals. Having first cracked the top 100 after reaching the third round at the 2013 Australian Open, Keys introduced herself to the wider public when she reached the Australian Open semifinals in 2015 as a teenager, losing to the World No. 1 and eventual champion Serena Williams. She cracked the top 20 for the first time following the tournament. On June 20, 2016, Keys achieved a top 10 ranking for the first time in her career, which she secured by reaching the Birmingham final. In September 2017, Keys reached her first Grand Slam final at the 2017 US Open.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Billie Jean King Cup, United Cup, Hopman Cup and Olympic Games are included in win–loss records.
Singles
Current after the 2023 Guadalajara Open.
Doubles
Current through the 2023 Wimbledon Championships
Grand Slam tournament finals
Singles: 1 (1 runner-up)
Other significant finals
WTA 1000 finals
Singles: 3 (1 title, 2 runner-ups)
Olympic Games medal matches
Singles: 1
WTA career finals
Singles: 12 (7 titles, 5 runner-ups)
Fed Cup/Billie Jean King Cup participation
Current through the 2020 Fed Cup qualifying round
Singles (4–4)
Doubles (1–1)
ITF Circuit finals
Singles: 4 (3 titles, 1 runner-up)
Doubles: 1 (1 title)
WTA Tour career earnings
Current through the 2022 Guadalajara Open.
Career Grand Slam statistics
Career Grand Slam seedings
The tournaments won by Keys are in boldface, and advanced into finals by Keys are in italics.
Best Grand Slam results details
Grand Slam winners are in boldface, and runner–ups are in italics.
Record against other players
No. 1 wins
Record against top 10 players
She has a 26–41 () record against players who were, at the time the match was played, ranked in the top 10.
Longest winning streaks
10-match winning streak (2022)
Notes
References
Keys, Madison |
https://en.wikipedia.org/wiki/Ryo%20Kubota%20%28footballer%2C%20born%201991%29 | is a Japanese footballer who plays for SC Sagamihara.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Ventforet Kofu
Profile at Kataller Toyama
1991 births
Living people
Hannan University alumni
Association football people from Tokyo
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Tokushima Vortis players
Kataller Toyama players
Ventforet Kofu players
Thespakusatsu Gunma players
SC Sagamihara players
Men's association football midfielders
Universiade bronze medalists for Japan
Universiade medalists in football
Medalists at the 2013 Summer Universiade |
https://en.wikipedia.org/wiki/Kohei%20Isa | is a Japanese footballer who plays as a forward for Oita Trinita.
Club statistics
Updated to 25 February 2019.
References
External links
Profile at Oita Trinita
1991 births
Living people
Osaka University of Health and Sport Sciences alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Oita Trinita players
Men's association football forwards |
https://en.wikipedia.org/wiki/Kazuki%20Anzai | is a Japanese footballer who plays for Tokyo Verdy on loan from Sagan Tosu.
Club statistics
Updated to 24 February 2019.
References
External links
Profile at Tokyo Verdy
1994 births
Living people
People from Kunitachi, Tokyo
Association football people from Tokyo Metropolis
Japanese men's footballers
J1 League players
J2 League players
Tokyo Verdy players
Sagan Tosu players
Renofa Yamaguchi FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Adian%E2%80%93Rabin%20theorem | In the mathematical subject of group theory, the Adian–Rabin theorem is a result that states that most "reasonable" properties of finitely presentable groups are algorithmically undecidable. The theorem is due to Sergei Adian (1955) and, independently, Michael O. Rabin (1958).
Markov property
A Markov property P of finitely presentable groups is one for which:
P is an abstract property, that is, P is preserved under group isomorphism.
There exists a finitely presentable group with property P.
There exists a finitely presentable group that cannot be embedded as a subgroup in any finitely presentable group with property P.
For example, being a finite group is a Markov property: We can take to be the trivial group and we can take to be the infinite cyclic group .
Precise statement of the Adian–Rabin theorem
In modern sources, the Adian–Rabin theorem is usually stated as follows:
Let P be a Markov property of finitely presentable groups. Then there does not exist an algorithm that, given a finite presentation , decides whether or not the group defined by this presentation has property P.
The word 'algorithm' here is used in the sense of recursion theory. More formally, the conclusion of Adian–Rabin theorem means that set of all finite presentations
(where is a fixed countably infinite alphabet, and is a finite set of relations in these generators and their inverses)
defining groups with property P, is not a recursive set.
Historical notes
The statement of the Adian–Rabin theorem generalizes a similar earlier result for semigroups by Andrey Markov, Jr., proved by analogous methods. It was also in the semigroup context that Markov introduced the above notion that that group theorists came to call the Markov property of finitely presented groups. This Markov, a prominent Soviet logician, is not to be confused with his father, the famous Russian probabilist Andrey Markov after whom Markov chains and Markov processes are named.
According to Don Collins, the notion Markov property, as defined above, was introduced by William Boone in his Mathematical Reviews review of Rabin's 1958 paper containing Rabin's proof of the Adian–Rabin theorem.
Idea of the proof
In modern sources, the proof of the Adian–Rabin theorem proceeds by a reduction to the Novikov–Boone theorem via a clever use of amalgamated products and HNN extensions.
Let be a Markov property and let be as in the definition of the Markov property above.
Let be a finitely presented group with undecidable word problem, whose existence is provided by the Novikov–Boone theorem.
The proof then produces a recursive procedure that, given a word in the generators of , outputs a finitely presented group such that if then is isomorphic to , and if then contains as a subgroup. Thus has property if and only if . Since it is undecidable whether , it follows that it is undecidable whether a finitely presented group has property .
Applications
The following properties of finite |
https://en.wikipedia.org/wiki/Winifred%20Margaret%20Deans | Winifred Margaret Deans (9 October 1901 – 7 June 1990) was a prolific translator of German scientific texts into English, who also taught mathematics and physics to secondary schoolchildren and worked at the Commonwealth Bureau of Animal Nutrition.
Life and education
Deans was one of two siblings, born to Duncan Deans and Mary Ann Sharp, in New Milton, Hampshire, United Kingdom. She graduated with an M.A. with First Class Honours in Mathematics from the University of Aberdeen in 1922. She also obtained a B.Sc. from the same university in 1923. She later studied at Newnham College, Cambridge, obtaining a First Class B.A. after she took Part I of the Mathematical Tripos in 1925. She earned another M.A. from Cambridge in 1929.
Deans won several awards in the course of her education, the University of Aberdeen awarding her the Simpson mathematical prize and the Neil Arnott prize for experimental physics in 1921; she also stood first in the examination for the Greig prize in natural philosophy.
Work
Deans taught mathematics and physics at the Harrow County Secondary School for Girls for two years. She then returned to Aberdeen and received a Diploma in Education in 1927. She joined Blackie and Son, a publishing house in Glasgow as an Assistant Science Editor. She began translating German publications, primarily related to Physics and Mathematics, for them. Important translations included those of texts by Max Born, Léon Brillouin, Louis de Broglie, Peter Debye, Richard Gans, Robert Pohl and Erwin Schrödinger. She also translated Else Wegener and Fritz Loewe's chronicle of Alfred Wegener’s fourth expedition to Greenland, undertaken in 1930–31.
Deans joined the Commonwealth Bureau of Animal Nutrition which was part of the Rowett Research Institute, Aberdeen, in 1945. She retired from the bureau in 1966.
Deans’ library and personal papers were given to the University of Aberdeen, and can now be found in their Special Collections, Library and Archives.
Translations
With J F Shearer: Collected Papers on Wave Mechanics, E Schrödinger, translated in 1928
Selected Papers on Wave Mechanics, L de Broglie and L Brillouin, translated in 1928
Alpine Flowers: The Most Common Alpine Plants of Switzerland, Austria and Bavaria, G Hegi, translated in 1930
The Dipole Moment and Chemical Structure, P Debye, translated in 1931
The Interference of Electrons, P Debye, translated in 1931
Vector Analysis and Applications to Physics, R Gans, translated in 1932
Physical Principles of Mechanics and Acoustics, R Pohl, translated in 1932
The Structure of Molecules, P Debye, translated in 1932
The Restless Universe, M Born, translated in 1935
The Cave Children, A T Sonnleitner, translated in 1935
With J Dougall: The Physics of Solids and Fluids, P P Ewald, T Poschl and L Prandtl, translated in 1936
Greenland Journey, E Wegener and F Loewe, translated in 1939
Hinterland Liberia, E Becker-Donner, translated in 1939
References
1901 births
1990 deaths
20th-cent |
https://en.wikipedia.org/wiki/M%C3%B6bius%E2%80%93Kantor%20polygon | In geometry, the Möbius–Kantor polygon is a regular complex polygon 3{3}3, , in . 3{3}3 has 8 vertices, and 8 edges. It is self-dual. Every vertex is shared by 3 triangular edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83).
Discovered by G.C. Shephard in 1952, he represented it as 3(24)3, with its symmetry, Coxeter called as 3[3]3, isomorphic to the binary tetrahedral group, order 24.
Coordinates
The 8 vertex coordinates of this polygon can be given in , as:
where .
As a configuration
The configuration matrix for 3{3}3 is:
Real representation
It has a real representation as the 16-cell, , in 4-dimensional space, sharing the same 8 vertices. The 24 edges in the 16-cell are seen in the Möbius–Kantor polygon when the 8 triangular edges are drawn as 3-separate edges. The triangles are represented 2 sets of 4 red or blue outlines. The B4 projections are given in two different symmetry orientations between the two color sets.
Related polytopes
It can also be seen as an alternation of , represented as . has 16 vertices, and 24 edges. A compound of two, in dual positions, and , can be represented as , contains all 16 vertices of .
The truncation , is the same as the regular polygon, 3{6}2, . Its edge-diagram is the cayley diagram for 3[3]3.
The regular Hessian polyhedron 3{3}3{3}3, has this polygon as a facet and vertex figure.
Notes
References
Shephard, G.C.; Regular complex polytopes, Proc. London math. Soc. Series 3, Vol 2, (1952), pp 82–97.
Coxeter, H. S. M. and Moser, W. O. J.; Generators and Relations for Discrete Groups (1965), esp pp 67–80.
Coxeter, H. S. M.; Regular Complex Polytopes, Cambridge University Press, (1974), second edition (1991).
Coxeter, H. S. M. and Shephard, G.C.; Portraits of a family of complex polytopes, Leonardo Vol 25, No 3/4, (1992), pp 239–244
Polytopes
Complex analysis |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20FC%20Metz%20season | The 2016–17 FC Metz season was the 83rd professional season of the club since its creation in 1932.
Current squad
Transfers
In:
Out:
Statistics
Top scorers
Competitions
Ligue 1
League table
Results summary
Results by round
Matches
Coupe de France
Coupe de la Ligue
References
Metz
FC Metz seasons |
https://en.wikipedia.org/wiki/Kenta%20Hirose | is a Japanese footballer who plays for Kagoshima United FC.
Career
Hirose made his debut for Kagoshima against Iwaki FC on 13 March 2022, playing the full 90 minutes.
Club statistics
Updated to end of 2018 season.
References
External links
Profile at Albirex Niigata
Profile at Tochigi SC
1992 births
Living people
Association football people from Saitama Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Shonan Bellmare players
Tochigi SC players
Albirex Niigata players
AC Nagano Parceiro players
Men's association football defenders |
https://en.wikipedia.org/wiki/Kenta%20Yamafuji | is a Japanese footballer who plays for Honda FC.
Club career
On 10 January 2019, Yamafuji joined Honda FC.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at Zweigen Kanazawa
1986 births
Living people
Heisei International University alumni
Association football people from Tokyo
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Zweigen Kanazawa players
Arte Takasaki players
Sony Sendai FC players
Giravanz Kitakyushu players
Honda FC players
Men's association football midfielders
Sportspeople from Sagamihara |
https://en.wikipedia.org/wiki/Infinitesimal%20cohomology | In mathematics, infinitesimal cohomology is a cohomology theory for algebraic varieties introduced by . In characteristic 0 it is essentially the same as crystalline cohomology. In nonzero characteristic p showed that it is closely related to etale cohomology with mod p coefficients, a theory known to have undesirable properties.
References
.
.
Algebraic geometry
Cohomology theories |
https://en.wikipedia.org/wiki/Pallacanestro%20Virtus%20Roma%20in%20international%20competitions | Pallacanestro Virtus Roma history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
1980s
1982–83 FIBA Korać Cup, 3rd–tier
The 1982–83 FIBA Korać Cup was the 12th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 6, 1982 to March 8, 1983. The trophy was won by the title holder Limoges CSP, who defeated -for second consecutive time- Šibenka by a result of 94–86 at Deutschlandhalle in West Berlin, West Germany. Overall, Banco di Roma achieved in present competition a record of 8 wins against 2 defeat, in three successive rounds. More detailed:
First round
Tie played on October 6, 1982 and on October 13, 1982.
|}
Second round
Tie played on November 3, 1982 and on November 10, 1982.
|}
Top 16
Day 1 (December 8, 1982)
|}
Day 2 (December 15, 1982)
|}
Day 3 (January 12, 1983)
|}
Day 4 (January 19, 1983)
|}
Day 5 (January 25, 1983)
|}
Day 6 (February 2, 1983)
|}
Group A standings:
1983–84 FIBA European Champions Cup, 1st–tier
The 1983–84 FIBA European Champions Cup was the 27th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from September 15, 1983 to March 29, 1984. The trophy was won by Banco di Roma, who defeated FC Barcelona by a result of 79–73 at Patinoire des Vernets in Geneva, Switzerland. Overall, Banco di Roma achieved in the present competition a record of 12 wins against 3 defeats, in five successive rounds. More detailed:
First round
Bye
Second round
Tie played on September 29, 1983 and on October 6, 1983.
|}
Top 12
Tie played on October 27, 1983 and on November 3, 1983.
|}
Semifinals
Day 1 (December 8, 1983)
|}
Day 2 (December 15, 1983)
|}
Day 3 (January 12, 1984)
|}
Day 4 (January 19, 1984)
|}
Day 5 (January 26, 1984)
|}
Day 6 (February 2, 1984)
|}
Day 7 (February 16, 1984)
|}
Day 8 (February 23, 1984)
|}
Day 9 (March 1, 1984)
|}
Day 10 (March 8, 1984)
|}
Semifinals group stage standings:
Final
March 29, 1984 at Patinoire des Vernets in Geneva, Switzerland.
|}
1984–85 FIBA European Champions Cup, 1st–tier
The 1984–85 FIBA European Champions Cup was the 28th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from September 21, 1984 to April 3, 1985. The trophy was won by Cibona, who defeated Real Madrid by a result of 87–78 at Peace and Friendship Stadium in Piraeus, Greece. Overall, Banco di Roma achieved in the present competition a record of 7 wins against 7 defeats, in four successive rounds. More detailed:
First round
Bye
Second round
Tie played on October 4, 1984 and on October 11, 1984.
|}
Top 12
Tie played on November 1, 1984 and on November 8, 1984.
|}
Semifinals
Day 1 (December 6, 1984)
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Day 2 (December 13, 1984)
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Day 3 (January 10, 1985)
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Day 4 (J |
https://en.wikipedia.org/wiki/Neena%20Gupta%20%28mathematician%29 | Neena Gupta (born in 1984) is a professor at the Statistics and Mathematics Unit of the Indian Statistical Institute (ISI), Kolkata. Her primary fields of interest are commutative algebra and affine algebraic geometry.
Life
Neena Gupta was previously a visiting scientist at the ISI and a visiting fellow at the Tata Institute of Fundamental Research (TIFR). She has won the Shanti Swarup Bhatnagar Prize for Science and Technology (2019) in the category of mathematical sciences, the highest honor in India in the field of science and technology. In 2022 she was awarded the ICTP Ramanujan award. She is the second woman from India who got this award.
Neena Gupta received the Indian National Science Academy Young Scientist award in 2014. She solved the Zariski Cancellation Problem. in positive characteristic. Her work has also earned her the inaugural Saraswathi Cowsik Medal in 2013, awarded by the TIFR Alumni Association.
Education
Gupta graduated with honours in mathematics from Bethune College in 2006. She earned her post graduation in mathematics from the Indian Statistical Institute in 2008 and subsequently, her Ph.D. degree in 2011 with commutative algebra as her specialization under the guidance of Amartya Kumar Dutta. The title of her dissertation was "Some results on Laurent polynomial fibrations and Quasi A*-algebras".
Career
Professor at Statistical and Mathematics Unit (SMU), ISI Kolkata (Jun 2014 -)
INSPIRE Faculty at ISI Kolkata (Dec 2012 - Jun 2014)
Visiting Fellow at TIFR Mumbai (May 2012 - Dec 2012)
Visiting Scientist at ISI Kolkata (Feb 2012 - Apr 2012)
Shyama Prasad Mukherjee Research Fellow at ISI Kolkata (Sep 2008 - Feb 2012)
Awards and honors
Fellow of the Indian National Science Academy (2023)
2nd Ganit Ratna Award (2023)
Invited speaker at the International Congress of Mathematicians (ICM) 2022
Nari Shakti Puraskar (2021) by the President of India on 8 March 2022
DST-ICTP-IMU Ramanujan Prize for Young Mathematicians from Developing Countries (2021)
Fellow of the Indian Academy of Sciences (2021)
The World Academy of Sciences Young Affiliates (2020)
Shanti Swarup Bhatnagar Prize for Science and Technology (2019)
BM Birla Science Prize in Mathematics (2017)
The Swarna Jayanti Fellowship Award, Department of Science and Technology (India) (2015)
The inaugural Professor A. K. Agarwal Award for best research publication by the Indian Mathematical Society (2014)
The Indian National Science Academy Young Scientist Award (2014)
The Ramanujan Prize from the University of Madras (2014)
Associateship of the Indian Academy of Sciences (2013)
The Saraswathi Cowsik Medal by the TIFR Alumni Association for her work on the Zariski Cancellation Problem in positive characteristic (2013)
References
External links
Living people
21st-century Indian women scientists
Indian women mathematicians
Bethune College alumni
Academic staff of the Indian Statistical Institute
21st-century Indian mathematicians
21st-century women mathemat |
https://en.wikipedia.org/wiki/Mens%20Sana%201871%20Basket%20in%20international%20competitions | Mens Sana 1871 Basket history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
External links
FIBA Europe
Euroleague
ULEB
Eurocup
Basketball in Italy |
https://en.wikipedia.org/wiki/Guido%20De%20Philippis | Guido De Philippis (born August 16, 1985 at Fiesole) is an Italian mathematician. He works on the calculus of variations, partial differential equations and geometric measure theory.
In 2016 he was awarded the EMS Prize, "for his outstanding contributions to the regularity of solutions of Monge–Ampère equation and optimal maps and for his deep work on quantitative stability inequalities for the first eigenvalue of the Laplacian and rigidity in some isoperimetric type inequalities.". In 2018 he was awarded the Stampacchia Medal. In 2021 he received the ISAAC award.
De Philippis was a PhD student of Luigi Ambrosio and Luis Caffarelli.
Selected publications
Regularity of optimal transport maps and applications, Ed. della Normale, Springer 2013 (Dissertation)
References
21st-century Italian mathematicians
1985 births
Living people
Mathematical analysts |
https://en.wikipedia.org/wiki/Ryosuke%20Kakigi | is a former Japanese footballer.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at Fujieda MYFC
1991 births
Living people
Osaka Gakuin University alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J3 League players
Gainare Tottori players
Fujieda MYFC players
Ococias Kyoto AC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Frank%20Sandon | Frank Sandon (3 June 1890 – 29 May 1979) was a British swimmer. He competed in the men's 100 metre backstroke event at the 1912 Summer Olympics.
Sandon studied mathematics at Corpus Christi College, Cambridge finishing as a Wrangler. He joined the Home office but found he was 'too remote from real people' so after the First World War became a schoolmaster. He taught at Highgate School from 1921 to 1923 and at various grammar schools, becoming headmaster of Plymouth Corporation Grammar School, founded in 1562, for eight years until its closure in 1937. A strong believer in co-education, in 1941 Sandon was appointed headmaster of Millom County Secondary School in Millom, Cumberland. He wrote or contributed to numerous books on statistics.
References
1890 births
1979 deaths
Alumni of Corpus Christi College, Cambridge
British statisticians
British male swimmers
Olympic swimmers for Great Britain
Swimmers at the 1912 Summer Olympics
Sportspeople from Islington
Swimmers from Greater London
British male backstroke swimmers |
https://en.wikipedia.org/wiki/Ryotaro%20Ito | is a Japanese professional footballer who plays as a midfielder for Belgian First Division A club Sint-Truiden.
Club statistics
.
Honours
Club
Urawa Red Diamonds
J.League Cup: 2016
J1 League: 2016 Runner-up
AFC Champions League: 2017
Albirex Niigata
J2 League: 2022
Individual
J2 League Best XI: 2022
References
External links
Profile at Albirex Niigata
1998 births
Living people
Association football people from Osaka
Japanese men's footballers
J1 League players
J2 League players
Belgian Pro League players
Urawa Red Diamonds players
Mito HollyHock players
Oita Trinita players
Albirex Niigata players
Sint-Truidense V.V. players
Men's association football midfielders
Japanese expatriate men's footballers
Expatriate men's footballers in Belgium
Japanese expatriate sportspeople in Belgium |
https://en.wikipedia.org/wiki/Syrians%20in%20Norway | Syrians in Norway are citizens and residents of Norway who are of Syrian descent. Most have arrived as asylum immigrants because of the Syrian civil war.
Demographics
According to Statistics Norway, in 2017, there were a total 20,823 persons of Syrian origin living in Norway. Of those, 1,462 individuals were born in Norway to immigrant parents.
In 2019 the number have risen to 34,112.
Socioeconomics
According to Statistics Norway, as of 2012-2014, the percentage of Syria-born immigrants in Norway with a persistently low income averaged out at 52.8%. This was a higher proportion than the native population and many other immigrant groups, largely because most Syrian individuals arrived as asylum immigrants, who tend to have lower incomes. The percentage of Syria-born immigrants with a persistently low income has also steadily declined the longer that the individuals have resided in Norway, with proportions of 86.9% among 3 year Syria-born residents, 53.2% among 4-9 year residents, and 38.4% among residents of 10 years or longer. This was relative to immigrant averages of 26.3% overall, 50.3% among 3 year residents, 28.5% among 4-9 year residents, and 20.2% among residents of 10 years or more.
According to Statistics Norway, as of 2015, a total of 196 Syria citizens residing in Norway incurred sanctions. The principal breaches were traffic offences (72 individuals), followed by other offences for profit (48 individuals), public order and integrity violations (37 individuals), property theft (16 individuals), drug and alcohol offences (14 individuals), violence and maltreatment (6 individuals), other offences (2 individuals), sexual offences (1 individual), and criminal damage (0 individuals).
In 2018, Statistics Norway reported that of recently arrived migrants from Syria there was a high proportion (67%) with only basic education (Norwegian: Grunnskole).
Notable people
See also
Immigration to Norway
Islam in Norway
Syrian diaspora
References
Asian diaspora in Norway
Norwegian people of Syrian descent
Norway |
https://en.wikipedia.org/wiki/%C5%A0varc%E2%80%93Milnor%20lemma | In the mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling Švarc as Schwarz) is a statement which says that a group , equipped with a "nice" discrete isometric action on a metric space , is quasi-isometric to .
This result goes back, in different form, before the notion of quasi-isometry was formally introduced, to the work of Albert S. Schwarz (1955) and John Milnor (1968). Pierre de la Harpe called the Švarc–Milnor lemma "the fundamental observation in geometric group theory" because of its importance for the subject. Occasionally the name "fundamental observation in geometric group theory" is now used for this statement, instead of calling it the Švarc–Milnor lemma; see, for example, Theorem 8.2 in the book of Farb and Margalit.
Precise statement
Several minor variations of the statement of the lemma exist in the literature (see the Notes section below). Here we follow the version given in the book of Bridson and Haefliger (see Proposition 8.19 on p. 140 there).
Let be a group acting by isometries on a proper length space such that the action is properly discontinuous and cocompact.
Then the group is finitely generated and for every finite generating set of and every point
the orbit map
is a quasi-isometry.
Here is the word metric on corresponding to .
Sometimes a properly discontinuous cocompact isometric action of a group on a proper geodesic metric space is called a geometric action.
Explanation of the terms
Recall that a metric space is proper if every closed ball in is compact.
An action of on is properly discontinuous if for every compact the set
is finite.
The action of on is cocompact if the quotient space , equipped with the quotient topology, is compact.
Under the other assumptions of the Švarc–Milnor lemma, the cocompactness condition is equivalent to the existence of a closed ball in such that
Examples of applications of the Švarc–Milnor lemma
For Examples 1 through 5 below see pp. 89–90 in the book of de la Harpe.
Example 6 is the starting point of the part of the paper of Richard Schwartz.
For every the group is quasi-isometric to the Euclidean space .
If is a closed connected oriented surface of negative Euler characteristic then the fundamental group is quasi-isometric to the hyperbolic plane .
If is a closed connected smooth manifold with a smooth Riemannian metric then is quasi-isometric to , where is the universal cover of , where is the pull-back of to , and where is the path metric on defined by the Riemannian metric .
If is a connected finite-dimensional Lie group equipped with a left-invariant Riemannian metric and the corresponding path metric, and if is a uniform lattice then is quasi-isometric to .
If is a closed hyperbolic 3-manifold, then is quasi-isometric to .
If is a complete finite volume hyperbolic 3-manifold with cusps, then is quasi-iso |
https://en.wikipedia.org/wiki/Monica%20Puig%20career%20statistics | This is a list of career statistics of Puerto Rican professional tennis player Monica Puig since her professional debut in September 2010. Puig won one WTA Tour singles title, plus the gold medal in the women's singles tournament at the 2016 Summer Olympics.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2022 Madrid Open.
Doubles
Note
Grand Slam performances, overall win–loss, prize money earned source
Significant finals
Olympic Games
Singles: 1 (gold medal)
WTA career finals
Singles: 4 (2 titles, 2 runner-ups)
ITF finals
Singles: 10 (6 titles, 4 runner-ups)
Doubles: 1 (runner-up)
Regional championship medal matches
Central American and Caribbean Games
Singles: 3 (3 gold medals)
Women's doubles: 1 (bronze medal)
Mixed doubles: 1 (bronze medal)
Pan American Games
Singles: 2 (1 silver medal, 1 bronze medal)
Junior Grand Slam tournament finals
Girls' singles: 2 (2 runner-ups)
Head-to-head record
Record against top 10 players
Puig's match record against players who have been ranked in the top 10 of the WTA Singles Rankings. Active players are in boldface. (main draw results only)
Wins over top 10 players
See also
List of Puerto Ricans
Sports in Puerto Rico
Puerto Rico at the Olympics
References
External links
Rio 2016 Olympic Tennis Event: Women's Singles Bracket
Mónica Puig: Profile at Rio Olympics Website
Puig, Mónica |
https://en.wikipedia.org/wiki/Hiroto%20Hatao | is a Japanese footballer who plays for Thespakusatsu Gunma.
Career
Club
On 5 January 2018, Hatao signed for Nagoya Grampus.
Career statistics
Club
References
External links
Profile at Ventforet Kofu
1990 births
Living people
Waseda University alumni
Association football people from Tokyo
Japanese men's footballers
J1 League players
J2 League players
Ventforet Kofu players
Nagoya Grampus players
Omiya Ardija players
Thespakusatsu Gunma players
Men's association football defenders |
https://en.wikipedia.org/wiki/Statistical%20business%20register | A statistical business register (SBR) plays a central part in a system of official economic statistics at a national statistics office.
A company register has a different purpose: protection, accountability and control of legal entities.
Register contents
Data sources
Countries use whatever data sources they seem relevant. E.g. they often integrate a company register in one form or another.
Type of business units
In EU a corresponding regulation define register contents:
all enterprises carrying on economic activities contributing to the gross domestic product (GDP), and their local units
the legal units of which those enterprises consist
enterprise groups
Characteristics
identification properties
identification number
name
address
contact info
VAT number
dates of creation/liquidation
main activity
operational status
legal form
links to other registries
links to other organizations or structural units
control
ownership
employees
Business registries in the world
United Nations Economic Commission for Europe provides Guidelines on Statistical Business Registers which describes the roles of the statistical business register.
European Commission provides a legal framework for business registers for statistical purposes.
See: List of company, tax and statistical business registers
References
Economic databases
Corporate law |
https://en.wikipedia.org/wiki/Willmathsville%2C%20Missouri | Willmathsville is an unincorporated community in Adair County, in the U.S. state of Missouri.
History
Willmathsville was laid out in 1856, and named after the local Wilmoth family. A post office called Willmathsville was established in 1855, and remained in operation until 1951.
References
Unincorporated communities in Adair County, Missouri
Unincorporated communities in Missouri |
https://en.wikipedia.org/wiki/Masaaki%20Murakami | is a Japanese footballer who plays for Avispa Fukuoka.
Club statistics
Updated to 21 July 2022.
References
External links
Profile at Renofa Yamaguchi
1992 births
Living people
Osaka University of Health and Sport Sciences alumni
Association football people from Shiga Prefecture
Japanese men's footballers
J2 League players
J3 League players
Renofa Yamaguchi FC players
Mito HollyHock players
Avispa Fukuoka players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Akira%20Ando | is a Japanese footballer who plays for Mito HollyHock.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Matsumoto Yamaga
Profile at Zweigen Kanazawa
1995 births
Living people
Association football people from Ōita Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Fukushima United FC players
Zweigen Kanazawa players
Shonan Bellmare players
Matsumoto Yamaga FC players
Mito HollyHock players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Poisson%20boundary | In mathematics, the Poisson boundary is a measure space associated to a random walk. It is an object designed to encode the asymptotic behaviour of the random walk, i.e. how trajectories diverge when the number of steps goes to infinity. Despite being called a boundary it is in general a purely measure-theoretical object and not a boundary in the topological sense. However, in the case where the random walk is on a topological space the Poisson boundary can be related to the Martin boundary, which is an analytic construction yielding a genuine topological boundary. Both boundaries are related to harmonic functions on the space via generalisations of the Poisson formula.
The case of the hyperbolic plane
The Poisson formula states that given a positive harmonic function on the unit disc (that is, where is the Laplace–Beltrami operator associated to the Poincaré metric on ) there exists a unique measure on the boundary such that the equality
where is the Poisson kernel,
holds for all . One way to interpret this is that the functions for are up to scaling all the extreme points in the cone of nonnegative harmonic functions. This analytical interpretation of the set leads to the more general notion of minimal Martin boundary (which in this case is the full Martin boundary).
This fact can also be interpreted in a probabilistic manner. If is the Markov process associated to (i.e. the Brownian motion on the disc with the Poincaré Riemannian metric), then the process is a continuous-time martingale, and as such converges almost everywhere to a function on the Wiener space of possible (infinite) trajectories for . Thus the Poisson formula identifies this measured space with the Martin boundary constructed above, and ultimately to endowed with the class of Lebesgue measure (note that this identification can be made directly since a path in Wiener space converges almost surely to a point on ). This interpretation of as the space of trajectories for a Markov process is a special case of the construction of the Poisson boundary.
Finally, the constructions above can be discretised, i.e. restricted to the random walks on the orbits of a Fuchsian group acting on . This gives an identification of the extremal positive harmonic functions on the group, and to the space of trajectories of the random walk on the group (both with respect to a given probability measure), with the topological/measured space .
Definition
The Poisson boundary of a random walk on a discrete group
Let be a discrete group and a probability measure on , which will be used to define a random walk on (a discrete-time Markov process whose transition probabilities are ); the measure is called the step distribution for the random walk. Let be another measure on , which will be the initial state for the random walk. The space of trajectories for is endowed with a measure whose marginales are (where denotes convolution of measures; this is the distribution of th |
https://en.wikipedia.org/wiki/Legendre%27s%20relation | In mathematics, Legendre's relation can be expressed in either of two forms: as a relation between complete elliptic integrals, or as a relation between periods and quasiperiods of elliptic functions. The two forms are equivalent as the periods and quasiperiods can be expressed in terms of complete elliptic integrals. It was introduced (for complete elliptic integrals) by .
Complete elliptic integrals
Legendre's relation stated using complete elliptic integrals is
where K and K′ are the complete elliptic integrals of the first kind for values satisfying , and E and E′ are the complete elliptic integrals of the second kind.
This form of Legendre's relation expresses the fact that the Wronskian of the complete elliptic integrals (considered as solutions of a differential equation) is a constant.
Elliptic functions
Legendre's relation stated using elliptic functions is
where ω1 and ω2 are the periods of the Weierstrass elliptic function, and η1 and η2 are the quasiperiods of the Weierstrass zeta function. Some authors normalize these in a different way differing by factors of 2, in which case the right hand side of the Legendre relation is i or i / 2. This relation can be proved by integrating the Weierstrass zeta function about the boundary of a fundamental region and applying Cauchy's residue theorem.
Proof
Proof of the lemniscatic case
The lemniscatic arc sine and the complementary lemniscatic arcsine are defined as follows:
And these derivatives are valid:
The lemniscatic case for the Legendre Identity can be shown in this way:
Following formula is given, that uses the lemniscatic arc functions as antiderivatives:
By constructing the original antiderivative in relation to x, this formula appears:
By putting the value into that formula, following result is generated:
Because of the identities of the functions K, F and E, this formula can be directly deduced from that result:
Proof of the general case
According to the derivation just carried out, the above result is valid and displayed here in a summandized way:
Now the modular general case is to be proved in the following. For this purpose, the derivatives of the complete elliptic integrals are derived. And then the derivation of Legendre's identity balance is determined.
Proof of the derivative of the elliptic integral of the first kind:
Proof of the derivative of the elliptic integral of the second kind:
For the Pythagorean counter-modules and according to the chain rule this relation is valid:
Because the derivative of the circle function is the negative product of the so called identical function and the reciprocal of the circle function. The Legendre's relation always includes products of two complete elliptic integrals. For the derivation of the function side from the equation scale of Legendre's identity, the product rule is now applied in the following:
Of these three equations, adding the top two equations and subtracting the bo |
https://en.wikipedia.org/wiki/Natashia%20Boland | Natashia Lesley Boland (born 1967) is a professor of mathematics at Georgia Institute of Technology. Boland completed a PhD at the University of Western Australia in 1992, and afterwards she pursued postdoctoral research at the University of Waterloo in Canada, at the Georgia Institute of Technology in the USA. She spent 13 years at the University of Melbourne and then from 2008 to 2014 worked at the University of Newcastle. She has made contributions to transportation scheduling, modeling of infrastructure networks, planning pricing strategies for demand, and optimization for environmental modeling.
Early life and education
Boland was influenced as a child by construction toys, and demonstrated an early aptitude for mathematics by reading through the entire year's curriculum during a two-week break for illness. She also cites the inspiration of two teachers, Mrs. Martini in second grade and Janet Hunt at Churchlands High School. She also attended a math camp at the National Mathematics Summer School in Canberra.
Boland pursued degrees in both mathematics and computer science at the University of Western Australia. She at first hated computer science, but later began to love it as she realized how intertwined mathematics and computers were. For her honours degree, Boland studied robotics. Boland completed her PhD in 1992 under the supervision of Alistair Iain Mees, and took two postdoctoral fellowships at the University of Waterloo in Canada and at the Georgia Institute of Technology.
Awards
In 2013, Boland delivered the Hanna Neumann Lecture to honour the achievements of women in mathematics.
In 2013, Boland was also awarded a Biennial Medal of the Modelling and Simulation Society of Australia and New Zealand.
Selected publications
References
External links
University of Western Australia alumni
Academic staff of the University of Western Australia
Academic staff of the University of Newcastle (Australia)
Georgia Tech faculty
1967 births
Living people
20th-century Australian mathematicians
21st-century Australian mathematicians
Australian women mathematicians
20th-century women mathematicians
21st-century women mathematicians
20th-century Australian women |
https://en.wikipedia.org/wiki/Nobushige%20Tabata | is a Japanese footballer who plays for Renofa Yamaguchi.
Club statistics
Updated to 23 February 2016.
References
External links
Profile at Renofa Yamaguchi FC
1989 births
Living people
Aoyama Gakuin University alumni
People from Shiroi
Association football people from Chiba Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
SP Kyoto FC players
Iwate Grulla Morioka players
Renofa Yamaguchi FC players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Kazuma%20Umenai | is a Japanese footballer who plays for Grulla Morioka.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at Grulla Morioka
1991 births
Living people
Meiji University alumni
Association football people from Tokyo
Japanese men's footballers
J3 League players
YSCC Yokohama players
Iwate Grulla Morioka players
Tokyo United FC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Shunta%20Takahashi | is a Japanese footballer who plays for Kataller Toyama.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Thespakusatsu Gunma
1989 births
Living people
Association football people from Toyama Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Montedio Yamagata players
Tochigi City FC players
FC Ryukyu players
AC Nagano Parceiro players
Thespakusatsu Gunma players
Kataller Toyama players
Men's association football forwards |
https://en.wikipedia.org/wiki/Seigo%20Kobayashi | is a Japanese footballer who plays for Oita Trinita.
Club statistics
Updated to 25 February 2019.
References
External links
Profile at Montedio Yamagata
Profile at Vissel Kobe
1994 births
Living people
Kwansei Gakuin University alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J1 League players
Vissel Kobe players
J2 League players
Montedio Yamagata players
Oita Trinita players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Menger%20space | In mathematics, a Menger space is a topological space that satisfies a certain basic selection principle that generalizes σ-compactness. A Menger space is a space in which for every sequence of open covers of the space there are finite sets such that the family covers the space.
History
In 1924, Karl Menger
introduced the following basis property for metric spaces:
Every basis of the topology contains a countable family of sets with vanishing
diameters that covers the space. Soon thereafter,
Witold Hurewicz
observed that Menger's basis property can be reformulated to the above form using sequences of open covers.
Menger's conjecture
Menger conjectured that in ZFC every Menger metric space is σ-compact.
A. W. Miller and D. H. Fremlin
proved that Menger's conjecture is false, by showing that there is,
in ZFC, a set of real numbers that is Menger but not σ-compact.
The Fremlin-Miller proof was dichotomic, and the set witnessing the failure
of the conjecture heavily depends on whether a certain (undecidable) axiom
holds or not.
Bartoszyński and Tsaban
gave a uniform ZFC example of a Menger subset of the real line that is not σ-compact.
Combinatorial characterization
For subsets of the real line, the Menger property can be characterized using continuous functions into the Baire space .
For functions , write if for all but finitely many natural numbers . A subset of is dominating if for each function there is a function such that . Hurewicz proved that a subset of the real line is Menger iff every continuous image of that space into the Baire space is not dominating. In particular, every subset of the real line of cardinality less than the dominating number is Menger.
The cardinality of Bartoszyński and Tsaban's counter-example to Menger's conjecture is
.
Properties
Every compact, and even σ-compact, space is Menger.
Every Menger space is a Lindelöf space
Continuous image of a Menger space is Menger
The Menger property is closed under taking subsets
Menger's property characterizes filters whose Mathias forcing notion does not add dominating functions.
References
Properties of topological spaces
Topology |
https://en.wikipedia.org/wiki/Ryo%20Iida | is a Japanese footballer who plays for FC TIAMO Hirakata.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at SC Sagamihara
1993 births
Living people
People from Ayase, Kanagawa
Association football people from Kanagawa Prefecture
Japanese men's footballers
J2 League players
J3 League players
Fagiano Okayama players
SC Sagamihara players
FC Tiamo Hirakata players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Yuji%20Hoshi | is a Japanese footballer who plays for Albirex Niigata.
He is the twin brother of Kota Hoshi, who currently plays for SC Sagamihara.
Club statistics
Updated to 2 May 2021.
References
External links
Profile at Oita Trinita
Profile at Renofa Yamaguchi
Profile at Albirex Niigata
1992 births
Living people
Hosei University alumni
Association football people from Kanagawa Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Fukushima United FC players
Renofa Yamaguchi FC players
Oita Trinita players
Albirex Niigata players
Men's association football defenders |
https://en.wikipedia.org/wiki/Shohei%20Shinzato | is a Japanese footballer who plays for Blaublitz Akita.
Club statistics
Updated to 23 February 2016.
References
External links
Profile at Blaublitz Akita
1988 births
Living people
Toyo University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
Blaublitz Akita players
Men's association football defenders
Akita FC Cambiare players |
https://en.wikipedia.org/wiki/Hayley%20Rogers | Hayley Rogers (born 7 September 1992) is a female badminton player from England. She studied mathematics and neuroscience at Keele University.
Achievements
BWF International Challenge/Series
Women's Doubles
BWF International Challenge tournament
BWF International Series tournament
BWF Future Series tournament
References
External links
1992 births
Living people
English female badminton players |
https://en.wikipedia.org/wiki/Isao%20Taniguchi | is a former Japanese footballer who mostly played for Kagoshima United FC.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at Kagoshima United FC
1991 births
Living people
Momoyama Gakuin University alumni
Association football people from Osaka
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Giravanz Kitakyushu players
Kagoshima United FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Ribet%27s%20lemma | In mathematics, Ribet's lemma gives conditions for a subgroup of a product of groups to be the whole product group. It was introduced by .
Statement
Suppose G1×...×Gn is a product of perfect groups. Then any subgroup of this product that maps onto all the factors Gi for i=1, ..., n is the whole product group.
References
Theorems in group theory |
https://en.wikipedia.org/wiki/Approximate%20group | In mathematics, an approximate group is a subset of a group which behaves like a subgroup "up to a constant error", in a precise quantitative sense (so the term approximate subgroup may be more correct). For example, it is required that the set of products of elements in the subset be not much bigger than the subset itself (while for a subgroup it is required that they be equal). The notion was introduced in the 2010s but can be traced to older sources in additive combinatorics.
Formal definition
Let be a group and ; for two subsets we denote by the set of all products . A non-empty subset is a -approximate subgroup of if:
It is symmetric, that is if then ;
There exists a subset of cardinality such that .
It is immediately verified that a 1-approximate subgroup is the same thing as a genuine subgroup. Of course this definition is only interesting when is small compared to (in particular, any subset is a -approximate subgroup). In applications it is often used with being fixed and going to infinity.
Examples of approximate subgroups which are not groups are given by symmetric intervals and more generally arithmetic progressions in the integers. Indeed, for all the subset is a 2-approximate subgroup: the set is contained in the union of the two translates and of . A generalised arithmetic progression in is a subset in of the form , and it is a -approximate subgroup.
A more general example is given by balls in the word metric in finitely generated nilpotent groups.
Classification of approximate subgroups
Approximate subgroups of the integer group were completely classified by Imre Z. Ruzsa and Freiman. The result is stated as follows:
For any there are such that for any -approximate subgroup there exists a generalised arithmetic progression generated by at most integers and containing at least elements, such that .
The constants can be estimated sharply. In particular is contained in at most translates of : this means that approximate subgroups of are "almost" generalised arithmetic progressions.
The work of Breuillard–Green–Tao (the culmination of an effort started a few years earlier by various other people) is a vast generalisation of this result. In a very general form its statement is the following:
Let ; there exists such that the following holds. Let be a group and a -approximate subgroup in . There exists subgroups with finite and nilpotent such that , the subgroup generated by contains , and with .
The statement also gives some information on the characteristics (rank and step) of the nilpotent group .
In the case where is a finite matrix group the results can be made more precise, for instance:
Let . For any there is a constant such that for any finite field , any simple subgroup and any -approximate subgroup then either is contained in a proper subgroup of , or , or .
The theorem applies for example to ; the point is that the constant does not depend on the cardinality of |
https://en.wikipedia.org/wiki/Thomas%20Lengauer | Thomas Lengauer (born 12 November 1952) is a German computer scientist and computational biologist.
Education
Lengauer studied Mathematics at the Free University of Berlin, earning his Diploma in 1975 and a Dr. rer. nat. (equivalent to a PhD) in 1976. Lengauer later gained an MSc (1977) and a PhD (1979) in computer science, both from Stanford University. He received his habilitation degree in computer science at Saarland University in 1984.
Work and research
In the seventies and early eighties Lengauer performed research in Theoretical Computer Science at Stanford University, Bell Labs and Saarland University. In 1984 Lengauer became Professor of Computer Science at University of Paderborn. In the eighties and early nineties, Lengauer's research concentrated on discrete optimization methods for the design of integrated circuits and on packing problems in manufacturing. From 1992 to 2001 he was Professor of Computer Science at the University of Bonn and Director of the Institute for Algorithms and Scientific Computing at German National Center for Information Technology. Since 2001, he has been a Director of the Department on Computational Biology and Applied Algorithmics at the Max Planck Institute for Informatics.
With his Stanford PhD advisor Robert Tarjan, he is known for the Lengauer–Tarjan algorithm in graph theory.
Since the early 1990s his research has focused on computational biology, particularly the alignment of molecular sequences, and also the prediction of protein structure and function, and computational drug screening and design. On the latter topic he cofounded the company BioSolveIT GmbH in Sankt Augustin, Germany, together with Christian Lemmen, Matthias Rarey, and Ralf Zimmer from his team at GMD. Since 2000 he and his team have developed methods for analysis of viral resistance of HIV; in 2005 he entered the field of computational epigenetics.
Lengauer retired from his position as Director at Max Planck Institute for Informatics in 2018. Since 2019 he has been part-time affiliated with the Institute of Virology at Cologne University.
Lengauer has been the PhD advisor of over 50 students and coauthored over 350 publications.
Activities, awards, and honours
Lengauer was a cofounder of the Conference Series European Symposium on Algorithms (ESA, 1993) and European Symposium on Computational Biology (ECCB, 2002). He was a member of the steering committee of the International Conference on Research in Computational Biology (RECOMB) from its inception in 1997 until 2010. He is a founding member of the International Society for Computational Biology (ISCB) and in 2014 became Vice President of this Society. He was elected as a Fellow of the ISCB in 2015. From January 2018 to January 2021 Lengauer was President of the ISCB.
In 2003, Lengauer was awarded the Konrad Zuse Medal, the highest award of the Gesellschaft für Informatik (German Informatics Society), as well as the Karl-Heinz-Beckurts Award. In 2010 he was awarded the A |
https://en.wikipedia.org/wiki/Theodor%20Bot%C4%83 | Theodor Constantin Botă (born 24 May 1997 in Râmnicu Vâlcea) is a Romanian professional footballer who plays as striker.
Career statistics
Club
Statistics accurate as of match played 17 November 2017
References
External links
Living people
1997 births
Romanian men's footballers
Liga I players
FC Steaua București players
Liga II players
FCSB II players
Romania men's youth international footballers
Men's association football forwards
Sportspeople from Râmnicu Vâlcea |
https://en.wikipedia.org/wiki/Mario%20Mihai | Mario Mihai (born 16 February 1999) is a Romanian footballer who plays as a midfielder.
Career statistics
Club
Statistics accurate as of match played 27 September 2018
References
External links
1999 births
Living people
Romanian men's footballers
Men's association football midfielders
Liga I players
Liga II players
Liga III players
FC Steaua București players
FCSB II players
LPS HD Clinceni players
AFC Turris-Oltul Turnu Măgurele players
ASC Daco-Getica București players
Footballers from Bucharest |
https://en.wikipedia.org/wiki/Naoya%20Fukumori | is a Japanese footballer who plays as a defender for Vegalta Sendai.
Club statistics
Updated to 6 November 2022.
References
External links
Profile at Vegalta Sendai
1992 births
Living people
Kwansei Gakuin University alumni
Association football people from Osaka Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Oita Trinita players
Shimizu S-Pulse players
Vegalta Sendai players
Men's association football defenders |
https://en.wikipedia.org/wiki/Yutaka%20Tanoue | is a Japanese former footballer who mostly played for Kagoshima United FC.
Club statistics
Updated to 14 April 2020.
References
External links
Profile at Kagoshima United FC
1986 births
Living people
Miyazaki Sangyo-keiei University alumni
Association football people from Kagoshima Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
FC Kariya players
FC Ryukyu players
Kagoshima United FC players
Men's association football midfielders
Sportspeople from Kagoshima |
https://en.wikipedia.org/wiki/Kisha%20Lee | Kisha Lee (born July 11, 1985) is an American professional basketball player for the South West Metro Pirates of the NBL1 North. She played college basketball for UNLV.
UNLV statistics
Source
Professional career
Lee's first two professional seasons were spent in Europe, playing for Dutch team Celeritas-Donar in 2007–08, and then Austrian team BC Powerbasket Wels in 2008–09. After a stint with the Bundaberg Bears of the Queensland Basketball League (QBL) during the 2009 Australian winter, Lee returned to Europe for the 2009–10 season, joining Swiss team Helios Basket. She then had a stint with the Chicago Steam in 2010 before moving to England to play for the Sheffield Hatters. She helped the Haters win the 2010–11 EBL championship.
Between 2011 and 2013, she played three straight seasons in the QBL with Bundaberg (2011) and the Toowoomba Mountaineers (2012–13). She returned to the Sheffield Hatters for the 2013–14 EBL season before re-joining the Mountaineers for the 2014 season. In 2015, she split her year with Toowoomba and in Darwin with Ansett. In 13 games for Ansett, she averaged 19 points per game.
In August 2016, Lee joined the Perth Lynx of the Women's National Basketball League (WNBL). Following the 2016–17 WNBL season, Lee remained in Perth and played in the State Basketball League (SBL) for the Stirling Senators. She continued on in the SBL in 2018 and 2019, playing for the Cockburn Cougars. In June 2019, Lee left the Cougars and returned to Queensland, where she joined the USC Rip City.
In 2020, Lee played for the Gold Coast Rollers of the Queensland State League (QSL). In 2021, she joined the South West Metro Pirates of the NBL1 North.
References
External links
Kisha Lee at unlvrebels.com
1985 births
Living people
American expatriate basketball people in Australia
American expatriate basketball people in Austria
American expatriate basketball people in the Netherlands
American expatriate basketball people in the United Kingdom
American women's basketball players
Basketball players from Chicago
Forwards (basketball)
Perth Lynx players
21st-century American women |
https://en.wikipedia.org/wiki/Yuto%20Uchida | is a Japanese footballer who plays for Vegalta Sendai.
Club statistics
Updated to end of 2021 season.
International
Japan national under-16 football team
Japan national under-17 football team
Japan national under-18 football team
2014 AFC U-19 Championship Qualifiers
Japan national under-19 football team
References
External links
Profile at Tokushima Vortis
Profile at Vegalta Sendai
1995 births
Living people
Association football people from Osaka Prefecture
People from Ibaraki, Osaka
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Gamba Osaka players
Tokushima Vortis players
Sagan Tosu players
J.League U-22 Selection players
Vegalta Sendai players
Men's association football defenders |
https://en.wikipedia.org/wiki/Subgroup%20%28disambiguation%29 | A subgroup is an object in abstract algebra.
Subgroup may also refer to:
a subdivision of a group
a subgroup of a galaxy group
a taxonomic rank between species and genus
a unit of language classification within a language family (see also subgrouping)
a subgroup of a group (stratigraphy) |
https://en.wikipedia.org/wiki/Zhiwei%20Yun | Zhiwei Yun (; born September 1982) is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program.
He was previously a C. L. E. Moore instructor at Massachusetts Institute of Technology from 2010 to 2012, assistant professor then associate professor at Stanford University from 2012 to 2016, and professor at Yale University from 2016 to 2017.
Education
Yun was born in Changzhou, China. As a high schooler, he participated in the International Mathematical Olympiad in 2000; he received a gold medal with a perfect score. Yun received his bachelor's degree from Peking University in 2004. In 2009, he received his Ph.D. from Princeton University, under the direction of Robert MacPherson.
Work
His collaborations with Wei Zhang, Xinyi Yuan and Xinwen Zhu have received attention in publications such as Quanta Magazine and Business Insider. In particular, his work with Wei Zhang on the Taylor expansion of L-functions is "already being hailed as one of the most exciting breakthroughs in an important area of number theory in the last 30 years."
Yun also made substantial contributions towards the global Gan–Gross–Prasad conjecture.
Awards
Yun was awarded the SASTRA Ramanujan Prize in 2012 for his "fundamental contributions to several areas that lie at the interface of representation theory, algebraic geometry and number theory."
In December 2017, he was awarded 2018 New Horizons In Mathematics Prize together with Wei Zhang, Aaron Naber and Maryna Viazovska.
He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to geometry, number theory, and representation theory, including his construction of motives with exceptional Galois groups". In 2019 he received the Morningside Medal jointly with Xinwen Zhu.
Selected publications
(with Davesh Maulik)
(with Roman Bezrukavnikov)
(with Ngô Bảo Châu and Jochen Heinloth)
(with Alexei Oblomkov)
(with Wei Zhang)
References
1982 births
Living people
Number theorists
Recipients of the SASTRA Ramanujan Prize
21st-century Chinese mathematicians
Princeton University alumni
Scientists from Changzhou
International Mathematical Olympiad participants
Mathematicians from Jiangsu
Peking University alumni
Fellows of the American Mathematical Society
Massachusetts Institute of Technology School of Science faculty
Chinese science writers
Writers from Changzhou
Educators from Changzhou |
https://en.wikipedia.org/wiki/Goson%20Sakai | is a Japanese football player. He is the younger brother of Gōtoku and Noriyoshi Sakai.
Club statistics
Updated to 23 February 2016.
References
External links
Profile at Fukushima United FC
1996 births
Living people
Association football people from Niigata Prefecture
Japanese men's footballers
Albirex Niigata players
Fukushima United FC players
Men's association football defenders
Lüneburger SK Hansa players
VfR Aalen players
FV Illertissen players
J1 League players
J3 League players
J.League U-22 Selection players
Regionalliga players
Japanese expatriate men's footballers
Expatriate men's footballers in Germany
Japanese expatriate sportspeople in Germany |
https://en.wikipedia.org/wiki/Ryo%20Nishiguchi | is a Japanese football player.
Club statistics
Updated to 23 February 2020.
References
External links
Profile at AC Nagano Parceiro
1990 births
Living people
Kyoto Sangyo University alumni
Association football people from Shiga Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
AC Nagano Parceiro players
Reilac Shiga FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Ryogo%20Yamasaki | is a Japanese footballer who plays for Kyoto Sanga.
Club statistics
Updated to 8 May 2021.
References
External links
Profile at Tokushima Vortis
1992 births
Living people
Fukuoka University alumni
Association football people from Okayama Prefecture
Japanese men's footballers
J1 League players
J2 League players
Sagan Tosu players
Tokushima Vortis players
Shonan Bellmare players
Nagoya Grampus players
Kyoto Sanga FC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Elina%20Svitolina%20career%20statistics | This is a list of career statistics of Ukrainian tennis player Elina Svitolina since her professional debut in 2010. Svitolina has won seventeen singles and two doubles WTA titles.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Canadian Open.
Notes
WTA Tournament of Champions was held from 2009 to 2014, when WTA Elite Trophy replaced it.
The first Premier 5 event of the year has switched back and forth between the Dubai Tennis Championships and the Qatar Total Open since 2009. Dubai was classified as a Premier 5 event from 2009 to 2011 before being succeeded by Doha for the 2012–2014 period. In 2015, Dubai regained its Premier 5 status while Doha was demoted to Premier status. The two tournaments have since alternated status every year.
Held as Pan Pacific Open until 2013, Wuhan Open since 2014.
2010: WTA ranking – 498.
Doubles
Mixed doubles
Significant finals
WTA Finals
Singles: 2 (1 title, 1 runner-up)
WTA Elite Trophy
Singles: 1 (1 runner-up)
WTA 1000 finals
Singles: 4 (4 titles)
Olympic Games
Singles: 1 (bronze medal)
WTA career finals
Singles: 20 (17 titles, 3 runner-ups)
Doubles: 2 (2 titles)
Team competition: 1 (1 runner-up)
WTA Challenger finals
Singles: 1 (1 title)
ITF finals
Singles: 8 (6 titles, 2 runner-ups)
Doubles: 6 (2 titles, 4 runner-ups)
Junior Grand Slam tournament finals
Girls' singles: 2 (1 title, 1 runner-up)
Girls' doubles: 1 (1 runner-up)
WTA ranking
WTA Tour career earnings
Career Grand Slam statistics
Grand Slam tournament seedings
The tournaments won by Svitolina are in boldface, and advanced into finals by Svitolina are in italics.
Best Grand Slam tournament results details
Longest winning streaks
15 match win streak (2017)
The 15 consecutive matches won by Svitolina in the spring was the longest win-streak of any player in 2017.
Record against other players
Record against top 10 players
Svitolina's record against players who have been ranked in the top 10. Active players are in boldface:
Record against No. 11–20 players
Svitolina's record against players who have been ranked world No. 11–20.
Daria Gavrilova 7–2
Alizé Cornet 5–3
Donna Vekić 4–0
Petra Martić 4–1
Wang Qiang 3–1
Alison Riske 3–1
Anastasija Sevastova 3–1
Elise Mertens 3–2
Elena Vesnina 3–2
Markéta Vondroušová 3–2
Sabine Lisicki 2–0
Karolína Muchová 2–0
Shahar Pe'er 2–0
Barbora Strýcová 2–0
Yanina Wickmayer 2–0
Ana Konjuh 2–1
Varvara Lepchenko 2–1
Anastasia Pavlyuchenkova 2–3
Kirsten Flipkens 1–0
Kaia Kanepi 1–0
Jennifer Brady 1–1
Peng Shuai 1–1
Magdaléna Rybáriková 1–1
Mihaela Buzărnescu 1–2
Zheng Jie 0–1
Klára Koukalová 0–2
* Statistics correct .
No. 1 wins
Top 10 wins
Svitolina has a record against players who were, at the time the match was played, ranked in the top 10 as of July 11, 2023.
References
External links
|
https://en.wikipedia.org/wiki/Kristina%20Mladenovic%20career%20statistics | This is a list of the main career statistics of professional tennis player Kristina Mladenovic. She has won six Grand Slam titles in doubles events - Australian Open in 2018 and 2020; French Open in 2016, 2019, 2020 and 2022. And in addition, she won two back-to-back titles at the WTA Finals, in 2018 and 2019, both alongside Tímea Babos. She was part of the France Fed Cup team (now called Billie Jean King Cup) when France won the title in 2019. In singles, she has some significant results such as two major quarterfinals (US Open in 2014 and French Open in 2017) and final of the WTA 1000 Madrid Open in 2017. In the late 2017, she made her debut in the top 10 on the WTA rankings in singles, while in doubles she became world No. 1 right after winning the French Open.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Billie Jean King Cup, Hopman Cup, United Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Guadalajara Open.
Doubles
Current through the 2023 Australian Open.
Mixed doubles
Grand Slam tournament finals
Doubles: 10 (6 titles, 4 runner-ups)
Mixed doubles: 5 (3 titles, 2 runner-ups)
Other significant finals
Year-end championships
Doubles: 2 (2 titles)
WTA 1000 tournaments
Singles: 1 (runner-up)
Doubles: 8 (4 titles, 4 runner-ups)
WTA Tour finals
Singles: 8 (1 title, 7 runner-ups)
Doubles: 43 (28 titles, 15 runner-ups)
WTA 125 finals
Singles: 3 (1 title, 2 runner-ups)
Doubles: 3 (2 titles, 1 runner-up)
ITF Circuit finals
Singles: 9 (6 titles, 3 runner–ups)
Doubles: 11 (9 titles, 2 runner–ups)
Team competition
Junior Grand Slam finals
Singles: 2 (1 title, 1 runner–up)
WTA Tour career earnings
current as of 23 May 2022
Career Grand Slam statistics
Grand Slam seedings
The tournaments won by Mladenovic are in boldface, and advanced into finals by Mladenovic are in italics.
Singles
Doubles
Head-to-head records
Record against top 10 players
Active players are in boldface.
No. 1 wins
Top 10 wins
Longest losing streaks
15-match losing streak (2017-18)
Notes
References
Mladenovic, Kristina |
https://en.wikipedia.org/wiki/Caroline%20Garcia%20career%20statistics | This is a list of the main career statistics of the French professional tennis player Caroline Garcia. Garcia has won eleven singles and eight doubles titles on the WTA Tour. Her most significant singles titles are the 2022 WTA Finals, Premier 5 Wuhan Open and the Premier Mandatory China Open, both achieved in 2017 and WTA 1000 Cincinnati Open in 2022. In doubles, she has won two Grand Slam titles at the French Open in 2016 and 2022 and one Premier Mandatory Madrid Open, also in 2016. Garcia became the world No. 2 doubles player on 24 October 2016, and she achieved her highest singles ranking of world No. 4 in September 2018.
In singles, she also reached the quarter-finals of the French Open in 2016, as well as the semi-finals of the Madrid Open in 2018. She was a quarter-finalist at the Madrid Open and Wuhan Open in 2014, the Canadian Open in 2017 and the WTA Qatar Open, Italian Open and Canadian Open in 2018. In 2017 she reached the semi-finals of the year-end championship WTA Finals.
In doubles, along with her Grand Slam title, she finished as runner–up at the US Open in 2016, semi-finalist at the Australian Open in 2017 and quarter-finalist at the 2016 Wimbledon and 2015 US Open. In Premier-level tournaments, she finished as runner-up at the 2014 Wuhan Open, 2015 Canadian Open and 2016 China Open. At the WTA Finals, she was a semi-finalist in 2016.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Wimbledon Championships.
Doubles
Current after the 2023 Wimbledon Championships.
Grand Slam finals
Garcia has reached three Grand Slam finals in doubles. First, she reached final of French Open in 2016 alongside Kristina Mladenovic, where they defeated Russian combination Ekaterina Makarova–Elena Vesnina in three-sets. Later the same year, Garcia again with Mladenovic reached another Grand Slam final at the US Open, losing to Bethanie Mattek-Sands and Lucie Šafářová. In 2022, she won the French Open doubles title again alongside Mladenovic, defeating Coco Gauff and Jessica Pegula in the final.
Doubles: 3 (2 titles, 1 runner-up)
Other significant finals
In singles, Garcia has won one Premier 5 tournament at the Wuhan Open, and one Premier Mandatory tournament in China Open, both in 2017. In doubles, she has won one Premier Mandatory title at the Madrid Open in 2016. She also finished as runner-up at the two Premier 5 tournaments, Wuhan Open in 2014 and Canadian Open in 2015 and at one Premier Mandatory tournament, the China Open in 2016.
WTA Championships finals
Singles: 1 (title)
WTA 1000 finals
Singles: 3 (3 titles)
Doubles: 4 (1 title, 3 runner-ups)
WTA career finals
Garcia debuted at the WTA Tour in 2011 at the Australian Open. Since then, she has reached 15 singles finals, winning 11 of them, including three WTA 1000 titles at the 2017 Wuhan Open, the 2017 China Open, and the Western & S |
https://en.wikipedia.org/wiki/Teresa%20Klimek | Teresa Klimek (1929-2013) was a Polish educator and activist. Educated to teach mathematics, she taught in various schools in Gorzów Wielkopolski from 1953 to 1984 and was honored for her skill as an educator. She helped found the Gorzów Wielkopolski branch of the Catholic Intellectuals Club as well as the regional branch of Solidarity. Her activism during Poland's struggle for democracy was widely recognized at both the local and national level and she was honored with numerous medals and awards.
Early life
Teresa Maria Tomaszewska-Bończa was born on 11 October 1929 in Hrubieszów, Poland to the noble families of Stanisław Bończa-Tomaszewski and Marii Skrzetuskiej. After her parents' divorce, Tomaszewska-Bończa was raised by her maternal grandparents Kazimierza Skrzetuskiego and Maria (née Dobrowolska) Skrzetuska. She was the great-granddaughter of Antoni Skrzetuski, who was honored for his military service in the January Uprising. The family moved often during the war, living in Wrzesnia, Zwierzyniec, Przeworsk and Mogilno, before she entered high school in 1944. In 1949, she graduated from the in Gniezno and went on to further her studies at the Adam Mickiewicz University in Poznań (UAM), studying mathematics from 1949 to 1952.
Career
After graduation, Tomaszewska-Bończa studied briefly at the Polish Naval Academy and then between 1952 and 1953 she taught at a vocational school in Gdynia. In 1953, Tomaszewska-Bończa married , moved to Gorzów Wielkopolski and taught at the Gastronomic Technical College () for two years. In 1957, she began teaching at the Chemical Technical College (), where she remained until 1972. She completed a master's degree UAM in 1966 and in 1976 completed her post-graduate studies in computer science at the University of Warsaw. Between 1972 and 1984 she taught mathematics at the in Gorzów Wielkopolski. During this time frame, she also worked on an experimental project between 1976 and 1980 launched in high schools by the Science Ministry. Klimek retired from teaching in 1984.
In the 1970s, Klimek helped organize the Catholic Intellectuals Club (), which she and her husband Władysław had founded. KIK's purpose was to stimulate independent thought and bring Catholics within Poland information about Catholic philosophy from countries outside the Socialist Bloc. Though it had to operate illegally and could not be registered until 1981, the group challenged authorities and openly promoted the organization. Beginning in 1980, Klimek was also engaged in the business of the Polish Trade Union, "Solidarity" (). Solidarity's goals were to bring about socio-economic reforms by changing the political system. Klimek promoted the organization in schools, encouraging students to found an independent student organization. She served on the regional board and was a delegate to the provincial congress as a Solidarity delegate.
From 1980 to 1981 Klimek served on an assistance committee for prisoners of conscience and provided care f |
https://en.wikipedia.org/wiki/Correa%20Moylan%20Walsh | Correa Moylan Walsh (September 23, 1862 – March 10, 1936) was an American author. He was an early expert in the field of index numbers. A polymath, he wrote on a wide range of topics: from mathematics, economics, and statistics, on the one hand (that of mathematics and the mathematical sciences) to philosophy, political science, literature, and philosophy of history, on the other (that of the humanities and social sciences).
Books
The Measurement of General Exchange-Value. (New York: The Macmillan Company; London: Macmillan & Co., 1901)
The Fundamental Problem in Monetary Science. (New York: The Macmillan Company; London: Macmillan & Co., 1903)
Shakespeare's Complete Sonnets: A New Arrangement With Introduction and Notes. (London and Leipsic: T. Fisher Unwin, 1908)
The Doctrine of Creation. (London: T. Fisher Unwin, 1910)
The Political Science of John Adams: A Study in the Theory of Mixed Government and the Bicameral System. (New York and London: G. P. Putnam's Sons, 1915)
The Climax of Civilisation. (New York: Sturgis & Walton Company, 1917)
Socialism. (New York: Sturgis & Walton Company, 1917)
Feminism. (New York: Sturgis & Walton Company, 1917)
The Problem of Estimation; A Seventeenth-Century Controversy and its Bearing on Modern Statistical Questions, Especially Index-Numbers. (London: P.S. King & Son, 1921)
The Four Kinds of Economic Value. (Cambridge: Harvard University Press, 1926)
An Attempted Proof of Fermat's Last Theorem By A New Method. (New York: G. E. Stechert & co., 1932)
Articles
Shaw's History of Currency. (Quarterly Journal of Economics, July, 1896)
The Steadily Appreciating Standard. (Quarterly Journal of Economics, April, 1897)
Kant's Transcendental Idealism and Empirical Realism. (Mind, October, 1903, and January, 1904)
Franklin and Plato. (The Open Court, March, 1906)
The Best Form of Index Number: Discussion. (Quarterly Publications of the American Statistical Association, March, 1921)
Professor Edgeworth’s View on Index-Numbers. (Quarterly Journal of Economics, May, 1924)
References
Links
1862 births
1936 deaths
19th-century American economists
19th-century American non-fiction writers
20th-century American economists
21st-century American non-fiction writers
Alumni of Balliol College, Oxford
American male non-fiction writers
Economists from New York (state)
Harvard University alumni
Mathematics writers
People from Newburgh, New York
Writers from New York (state) |
https://en.wikipedia.org/wiki/Tetsuya%20Kanno | is a Japanese football player.
Club statistics
Updated to 18 November 2018.
References
External links
Profile at Nara Club
Profile at Nagano Parceiro
1989 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Shonan Bellmare players
Zweigen Kanazawa players
SC Sagamihara players
AC Nagano Parceiro players
Nara Club players
Veertien Mie players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Kodai%20Fujii | is a Japanese footballer. He plays for J-Lease FC from 2023.
Career statistics
Updated to the end 2022 season.
1Includes J2/JFL and J2/J3 play-offs.
References
External links
Profile at Kamatamare Sanuki
1991 births
Living people
Tokyo Gakugei University alumni
Association football people from Toyama Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Kashima Antlers players
FC Machida Zelvia players
Kamatamare Sanuki players
Iwate Grulla Morioka players
Vanraure Hachinohe players
J-Lease FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Daiki%20Yamamoto | is a Japanese footballer who plays for Tochigi SC.
Club statistics
Updated to 23 February 2016.
References
External links
Profile at Tochigi SC
1992 births
Living people
Osaka University of Health and Sport Sciences alumni
Association football people from Osaka Prefecture
Japanese men's footballers
J3 League players
Gainare Tottori players
Tochigi SC players
Men's association football midfielders
People from Fujiidera, Osaka |
https://en.wikipedia.org/wiki/Yusuke%20Kawagishi | is a Japanese footballer who plays for Thespakusatsu Gunma.
Club statistics
Updated to 1 January 2019.
References
External links
Profile at Thespakusatsu Gunma
1992 births
Living people
Komazawa University alumni
Association football people from Gunma Prefecture
Japanese men's footballers
J2 League players
J3 League players
Thespakusatsu Gunma players
Men's association football defenders |
https://en.wikipedia.org/wiki/Master%20of%20Science%20in%20Business%20Analytics | A Master of Science in Business Analytics (MSBA) is an interdisciplinary STEM graduate professional degree that blends concepts from data science, computer science, statistics, business intelligence, and information theory geared towards commercial applications. Students generally come from a variety of backgrounds including computer science, engineering, mathematics, economics, and business. University programs mandate coding proficiency in at least one language. The languages most commonly used include R, Python, SAS, and SQL. Applicants generally have technical proficiency before starting the program. Analytics concentrations in MBA programs are less technical and focus on developing working knowledge of statistical applications rather than proficiency.
Business analytics (BA) refers to the skills, technologies, practices for continuous iterative exploration and investigation of past business performance to gain insight and drive business planning.[1] Business analytics focuses on developing new insights and understanding of business performance based on data and statistical methods. In contrast, business intelligence traditionally focuses on using a consistent set of metrics to both measure past performance and guide business planning, which is also based on data and statistical methods. Business analytics can be used to leverage prescriptive analytics towards automation.
Origin
The MSBA was a response to the increasing need of complex data analysis beyond traditional use of spreadsheets such as Microsoft Excel. Since 2001, the increasing volume (amount of data), velocity (speed of data in and out), and variety (range of data types and sources) has created a vacuum for talent. Harvard Business Review noted: “Much of the current enthusiasm for big data focuses on technologies that make taming it possible, including Hadoop (the most widely used framework for distributed file system processing) and related open-source tools, cloud computing, and data visualization,” the article says. “While those are important breakthroughs, at least as important are the people with the skill set (and the mind-set) to put them to good use. On this front, demand has raced ahead of supply. Indeed, the shortage of data scientists is becoming a serious constraint in some sectors.”
See also
Big Data
Machine Learning
Data Mining
Predictive Analytics
Decision Theory
ETL
Data Management
Data Warehouse
Operations research
Network science
Agile
References
Master's degrees |
https://en.wikipedia.org/wiki/Pseudo-ring | In mathematics, and more specifically in abstract algebra, a pseudo-ring is one of the following variants of a ring:
A rng, i.e., a structure satisfying all the axioms of a ring except for the existence of a multiplicative identity.
A set R with two binary operations + and ⋅ such that is an abelian group with identity 0, and and for all a, b, c in R.
An abelian group equipped with a subgroup B and a multiplication making B a ring and A a B-module.
None of these definitions are equivalent, so it is best to avoid the term "pseudo-ring" or to clarify which meaning is intended.
See also
Semiring – an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse
References
Ring theory
Algebraic structures
Algebras |
https://en.wikipedia.org/wiki/Johanna%20Larsson%20career%20statistics | This is a list of career statistics of Swedish professional tennis player Johanna Larsson since her professional debut in 2006. Larsson won two singles and 14 doubles titles on the WTA Tour, including both titles at her home tournament in Båstad in 2015.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup and Olympic Games are included in win–loss records.
Singles
Doubles
Significant finals
WTA Finals
Doubles: 1 (runner-up)
WTA Tour finals
Singles: 5 (2 titles, 3 runner-ups)
Doubles: 23 (14 titles, 9 runner-ups)
ITF Circuit finals
Singles: 25 (13 titles, 12 runner-ups)
Doubles: 26 (17 titles, 9 runner-ups)
Head-to-head record
Wins over top 10 players
Notes
External links
Johanna Larsson's CoreTennis Profile
Larsson, Johanna |
https://en.wikipedia.org/wiki/Timea%20Bacsinszky%20career%20statistics | This is a list of career statistics of Swiss professional tennis player Timea Bacsinszky since her professional debut in 2004. Bacsinszky has won four singles titles and five doubles titles on the WTA Tour. She also partnered Martina Hingis to win a silver medal in women's doubles at the 2016 Summer Olympics.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments and Olympic Games are included in win–loss records.
Singles
Doubles
Significant finals
Premier Mandatory finals
Singles: 1 runner-up
Olympic finals
Doubles: 1 (silver medal)
WTA career finals
Singles: 7 (4 titles, 3 runner-ups)
Doubles: 9 (5 titles, 4 runner-ups)
WTA Challenger finals
Doubles: 2 (1 title, 1 runner-up)
ITF Circuit finals
Singles: 20 (13 titles, 7 runner–ups)
Doubles: 22 (14 titles, 8 runner–ups)
Grand Slam tournament seedings
Head-to-head records
Record against top 10 players
Bacsinszky's record against players who have been ranked in the top 10. Active players are in boldface.
Wins over top 10 players
Notes
References
External links
Timea Bacsinszky at CoreTennis
Bacsinszky, Timea |
https://en.wikipedia.org/wiki/1871%20Canadian%20census | The 1871 Canadian census marked the first regularly scheduled collection of national statistics of the Canadian population on April 2, 1871, as required by section 8 of the British North America Act. The constitution required a census to be taken in 1871 and every tenth year thereafter. Parliament implemented the requirements of the constitution through the Census Act of May 12, 1870. In the first census, the population of Canada was enumerated to be 3,485,761.
All inhabitants of Canada were included, including aboriginals. While this was the first national census of Canada, only four provinces existed at the time: Ontario, Quebec, New Brunswick, and Nova Scotia. Other areas of what later became part of Canada continued to be enumerated in their own separate censuses. The results of the 1871 census, in both English and French, were reported in a five volume set.
The following census was the 1881 census.
Questionnaire
The questionnaire was on a variety of subjects and asked 211 questions including area, land holdings, vital statistics, religion, education, administration, the military, justice, agriculture, commerce, industry and finance. Information was collected in tabular form on population, houses and other buildings, lands, industries and institutions. The population section included the age, sex, religion, education, race and occupation of each person, although not every household answered all 211 questions.
Data products
As the data were compiled, Statistics Canada released various census data products.
Population by province
Population of the provinces and territories:
Manitoba and North-West Territories joined the Canadian confederation on July 15, 1870, but were not included in the 1871 official census of Canada. In addition, British Columbia joined the Canadian confederation on July 20, 1871, after the census date of April 2, 1871. Statistics Canada has included estimates for all three of these jurisdictionstotal population onlyin the same stated source, though totals do not add (see notes at source). Statistics Canada also provides the 1871 totals by sex for Canada, adjusted with their estimates for Manitoba and North-West Territories and British Columbia.
Religion
Origins
The figures for 1871 are for the four original provinces (Ontario, Quebec, New Brunswick, Nova Scotia) only.
See also
Census in Canada
Canadians
United States census
References
Census
Censuses in Canada
Canada |
https://en.wikipedia.org/wiki/Graph%20%28topology%29 | In topology, a branch of mathematics, a graph is a topological space which arises from a usual graph by replacing vertices by points and each edge by a copy of the unit interval , where is identified with the point associated to and with the point associated to . That is, as topological spaces, graphs are exactly the simplicial 1-complexes and also exactly the one-dimensional CW complexes.
Thus, in particular, it bears the quotient topology of the set
under the quotient map used for gluing. Here is the 0-skeleton (consisting of one point for each vertex ), are the closed intervals glued to it, one for each edge , and is the disjoint union.
The topology on this space is called the graph topology.
Subgraphs and trees
A subgraph of a graph is a subspace which is also a graph and whose nodes are all contained in the 0-skeleton of . is a subgraph if and only if it consists of vertices and edges from and is closed.
A subgraph is called a tree if it is contractible as a topological space. This can be shown equivalent to the usual definition of a tree in graph theory, namely a connected graph without cycles.
Properties
The associated topological space of a graph is connected (with respect to the graph topology) if and only if the original graph is connected.
Every connected graph contains at least one maximal tree , that is, a tree that is maximal with respect to the order induced by set inclusion on the subgraphs of which are trees.
If is a graph and a maximal tree, then the fundamental group equals the free group generated by elements , where the correspond bijectively to the edges of ; in fact, is homotopy equivalent to a wedge sum of circles.
Forming the topological space associated to a graph as above amounts to a functor from the category of graphs to the category of topological spaces.
Every covering space projecting to a graph is also a graph.
See also
Graph homology
Topological graph theory
Nielsen–Schreier theorem, whose standard proof makes use of this concept.
References
Topological spaces |
https://en.wikipedia.org/wiki/Shota%20Inoue | is a Japanese football player currently playing for FC TIAMO Hirakata.
Club team career statistics
Updated to 23 February 2020.
References
External links
Profile at Giravanz Kitakyushu
1989 births
Living people
Hannan University alumni
Association football people from Ehime Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Cerezo Osaka players
Giravanz Kitakyushu players
FC Tiamo Hirakata players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Kengo%20Tanaka | is a Japanese footballer who plays as a goalkeeper for club Iwaki FC.
Club statistics
Updated to the start from 2023 season.
Honours
Iwaki FC
J3 League: 2022
References
External links
Profile at AC Nagano Parceiro
Profile at Iwaki FC
1989 births
Living people
Nippon Sport Science University alumni
Association football people from Kanagawa Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Japan Football League players
AC Nagano Parceiro players
Matsumoto Yamaga FC players
Iwaki FC players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Makito%20Ito | is a Japanese professional footballer who plays as a centre back for J.League club Júbilo Iwata.
Club statistics
Honours
Club
Yokohama F. Marinos
J1 League (1): 2019
References
External links
Profile at Júbilo Iwata
1992 births
Living people
Komazawa University alumni
Association football people from Shizuoka Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
JEF United Chiba players
Mito HollyHock players
Fujieda MYFC players
Yokohama F. Marinos players
Júbilo Iwata players
Men's association football defenders |
https://en.wikipedia.org/wiki/Taiki%20Kato | is a Japanese footballer who plays for Montedio Yamagata.
Club statistics
Updated to 26 July 2022.
References
External links
Profile at Renofa Yamaguchi FC
1993 births
Living people
Biwako Seikei Sport College alumni
Association football people from Nara Prefecture
Japanese men's footballers
J2 League players
Japan Football League players
Renofa Yamaguchi FC players
SP Kyoto FC players
Zweigen Kanazawa players
Montedio Yamagata players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Witt%20vector%20cohomology | In mathematics, Witt vector cohomology was an early p-adic cohomology theory for algebraic varieties introduced by . Serre constructed it by defining a sheaf of truncated Witt rings Wn over a variety V and then taking the inverse limit of the sheaf cohomology groups Hi(V, Wn) of these sheaves. Serre observed that though it gives cohomology groups over a field of characteristic 0, it cannot be a Weil cohomology theory because the cohomology groups vanish when i > dim(V). For Abelian varieties showed that one could obtain a reasonable first cohomology group by taking the direct sum of the Witt vector cohomology and the Tate module of the Picard variety.
References
Algebraic geometry
Cohomology theories |
https://en.wikipedia.org/wiki/The%20Ramanujan%20Journal | The Ramanujan Journal is a peer-reviewed scientific journal covering all areas of mathematics, especially those influenced by the Indian mathematician Srinivasa Ramanujan. The journal was established in 1997 and is published by Springer Science+Business Media. According to the Journal Citation Reports, the journal has a 2021 impact factor of 0.804.
References
External links
English-language journals
Mathematics journals
Springer Science+Business Media academic journals
Academic journals established in 1997
9 times per year journals
Srinivasa Ramanujan |
https://en.wikipedia.org/wiki/Montenegro%20national%20football%20team%20records%20and%20statistics | As a member of FIFA and UEFA, the Montenegro national football team has been playing official matches since March 2007. Montenegro plays in the qualifiers for the FIFA World Cup and UEFA European Championship, as well as partaking in the UEFA Nations League. Apart from that, the team participates in friendly matches.
Individual records
Most capped players
Top goalscorers
List of players
The following table summarizes caps for the Montenegro national team by every single player, since 2007.
{| class="wikitable sortable" style="text-align: center;"
|-
!Player
!Montenegro career
!Caps
!
!
!
!
|-
|style="text-align:left;"|Fatos Bećiraj||||75||11||49||26||10
|-
|style="text-align:left;"|Elsad Zverotić||2008–2017||61||0||38||23||5
|-
|style="text-align:left;"|Stevan Jovetić||2007–2020||56||27||41||15||27
|-
|style="text-align:left;"|Stefan Savić||2010–2020||55||8||40||15||5
|-
|style="text-align:left;"|Mirko Vučinić||2007–2017||46||38||27||19||17
|-
|style="text-align:left;"|Simon Vukčević||2007–2014||45||1||26||19||2
|-
|style="text-align:left;"|Nikola Vukčević||2014–2020||44||4||33||11||1
|-
|style="text-align:left;"|Marko Simić||2013–2020||44||2||28||16||1
|-
|style="text-align:left;"|Vladimir Božović||2007–2014||43||0||21||22||0
|-
|style="text-align:left;"|Mladen Božović||2007–2017||41||0||23||18||0
|-
|style="text-align:left;"|Marko Baša||2009–2017||39||0||25||14||2
|-
|style="text-align:left;"|Savo Pavićević||2007–2014||39||0||19||20||0
|-
|style="text-align:left;"|Vukašin Poleksić||2007–2016||38||4||20||18||0
|-
|style="text-align:left;"|Žarko Tomašević||2010–2019||37||0||23||14||4
|-
|style="text-align:left;"|Milan Jovanović||2007–2014||36||1||16||20||0
|-
|style="text-align:left;"|Stefan Mugoša||2015–2019||35||0||22||13||10
|-
|style="text-align:left;"|Adam Marušić||2015–2020||35||0||27||8||0
|-
|style="text-align:left;"|Milorad Peković||2007–2013||34||0||19||15||0
|-
|style="text-align:left;"|Nikola Drinčić||2007–2014||33||1||20||13||3
|-
|style="text-align:left;"|Vladimir Jovović||2013–2020||33||0||23||10||0
|-
|style="text-align:left;"|Branko Bošković||2007–2014||30||9||15||15||1
|-
|style="text-align:left;"|Dejan Damjanović||2008–2015||30||0||26||4||8
|-
|style="text-align:left;"|Marko Vešović||2013–2019||30||0||19||11||2
|-
|style="text-align:left;"|Aleksandar Boljević||2013–2020||29||0||19||10||0
|-
|style="text-align:left;"|Radomir Đalović||2007–2011||26||1||11||15||7
|-
|style="text-align:left;"|Miodrag Džudović||2008–2013||26||0||15||11||1
|-
|style="text-align:left;"|Radoslav Batak||2007–2011||25||0||11||14||1
|-
|style="text-align:left;"|Mitar Novaković||2007–2013||25||0||12||13||0
|-
|style="text-align:left;"|Mladen Kašćelan||2009–2016||25||0||13||12||0
|-
|style="text-align:left;"|Luka Pejović||2007–2012||23||0||7||16||1
|-
|style="text-align:left;"|Marko Janković||2016–2020||23||0||17||6||2
|-
|style="text-align:left;"|Danijel Petković||2014–2020||23||1||16||7||0
|-
|style="text-align:left;"|Nebojša Kosović||2016–2020||22|| |
https://en.wikipedia.org/wiki/Naoto%20Ando | is a Japanese footballer who plays for Giravanz Kitakyushu.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Tochigi SC
Profile at Renofa Yamaguchi
Profile at Giravanz Kitakyushu
1991 births
Living people
Kyoto Sangyo University alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J2 League players
J3 League players
Gainare Tottori players
Renofa Yamaguchi FC players
Tochigi SC players
Giravanz Kitakyushu players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Takuto%20Hashimoto | is a Japanese football player for Veertien Mie.
Club statistics
Updated to 31 December 2020.
References
External links
Profile at Fukushima United FC
1991 births
Living people
Kokushikan University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
Fukushima United FC players
Veertien Mie players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Hiroki%20Todaka | is a Japanese former footballer who played Midfielder.
Career
Tidak announcement officially retirement from football after eight years at professional career on 26 December 2022.
Career statistics
Club
Updated to the end 2022 season.
References
External links
Profile at Machida Zelvia
1991 births
Living people
Ritsumeikan University alumni
Association football people from Ōita Prefecture
Japanese men's footballers
J2 League players
J3 League players
FC Machida Zelvia players
Kataller Toyama players
Okinawa SV players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Alin%20Dudea | Alin Ilie Dudea (born 6 June 1997) is a Romanian professional footballer who plays as a defender for Liga II club CSM Reșița..
Career statistics
Club
Honours
Dinamo București
Cupa Ligii: 2016–17
Chindia Târgoviște
Liga II: 2018–19
CSM Reșița
Liga III: 2021–22, 2022–23
References
External links
1997 births
Living people
Footballers from Craiova
Romanian men's footballers
Romania men's youth international footballers
Romania men's under-21 international footballers
Men's association football defenders
Liga I players
FC Dinamo București players
Liga II players
Liga III players
ACS Foresta Suceava players
AFC Chindia Târgoviște players
CSM Reșița players |
https://en.wikipedia.org/wiki/Jonathan%20Tawn | Jonathan Tawn is Professor of Statistics at Lancaster University. He is one of the leading researchers in Extreme value theory, looking into both methods and applications in areas such as oceanography, hydrology, and climatology.
Career
Tawn received a BSc in Mathematics from Imperial College London in 1985 and a PhD in Statistics from the University of Surrey in 1988, under the supervision of Richard L. Smith.
After four years at the department of Probability and Statistics at Sheffield, Tawn joined Lancaster University in 1992 as a senior lecturer, and was promoted to professor in 1996.
In 2001 he was selected as one of the twenty "Faces of Mathematics", a project looking into the lives of some of the UK's most influential researchers in Mathematics.
Tawn was singled out by the journal Nature in 2015 for his research on the design of ship hatches.
Awards
Tawn was the recipient of the Royal Statistical Society's Guy Medal in Bronze in 1993, and in 2015 was the inaugural winner of the society's Barnett Award for outstanding contribution to the field of Environmental Statistics.
References
External links
Personal Website
Living people
Year of birth missing (living people)
English statisticians
Academics of Lancaster University
Alumni of the University of Surrey
Alumni of Imperial College London |
https://en.wikipedia.org/wiki/2015%E2%80%9316%20PFC%20Levski%20Sofia%20season | The 2015–16 season was Levski Sofia's 95th season in the First League. This article shows player statistics and all matches (official and friendly) that the club has played during the season.
Transfers
In
Total spending: €0.38M
Out
Total income: €0
Net income: -€0.38M
Loans out
Squad
Updated on 28 May 2016.
Performance overview
Fixtures
Friendlies
Summer
Mid-season
Winter
A Group
League table
Results summary
Results by round
Matches
Bulgarian Cup
Squad statistics
References
PFC Levski Sofia seasons
Levski Sofia |
https://en.wikipedia.org/wiki/Gabriel%20Simion | Gabriel Bogdan Simion (born 22 May 1998) is a Romanian professional footballer who plays as a midfielder for Liga I club Universitatea Cluj.
Career statistics
Club
Honours
FCSB
Cupa Ligii: 2015–16
Supercupa României runner-up: 2020
Universitatea Cluj
Cupa României runner-up: 2022–23
References
External links
1998 births
Living people
People from Călărași
Romanian men's footballers
Men's association football defenders
Liga I players
Liga II players
Cypriot First Division players
FC Steaua București players
FCSB II players
LPS HD Clinceni players
ASC Daco-Getica București players
FC Dunărea Călărași players
FC Astra Giurgiu players
Aris Limassol FC players
FC Universitatea Cluj players |
https://en.wikipedia.org/wiki/Wally%20Webster | Walter George Webster (22 May 1895 – 15 September 1980) was an English professional footballer who played as a full back in the Football League, most notably for Walsall.
Career statistics
References
English men's footballers
English Football League players
Men's association football fullbacks
1895 births
1980 deaths
Footballers from West Bromwich
Walsall F.C. players
Lincoln City F.C. players
Sheffield United F.C. players
Worksop Town F.C. players
Scunthorpe United F.C. players
Torquay United F.C. players
Rochdale A.F.C. players
Stalybridge Celtic F.C. players
Barrow A.F.C. players
Workington A.F.C. players
Midland Football League players
Mossley A.F.C. players |
https://en.wikipedia.org/wiki/Carla%20Su%C3%A1rez%20Navarro%20career%20statistics | This is a list of career statistics of Spanish professional tennis player Carla Suárez Navarro since her professional debut in 2003. Suárez Navarro has won two WTA singles titles and three doubles titles. Along with Garbiñe Muguruza, she also reached the final of the doubles tournament at the 2015 WTA Finals.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current after 2020–21 Billie Jean King Cup Finals.
Notes
The first Premier 5 event of the year has switched back and forth between the Dubai Tennis Championships and the Qatar Total Open since 2009. Dubai was classified as a Premier 5 event from 2009 to 2011 before being succeeded by Doha for the 2012–2014 period. In 2015, Dubai regained its Premier 5 status while Doha was demoted to Premier status.
In 2014, the Toray Pan Pacific Open was downgraded to a Premier event and replaced by the Wuhan Open.
Doubles
Significant finals
WTA Finals finals
Doubles: 1 (1 runner-up)
WTA 1000 finals
Singles: 3 (1 title, 2 runners-up)
Doubles: 4 (4 runners-up)
WTA career finals
Singles: 11 (2 titles, 9 runners-up)
Doubles: 9 (3 titles, 6 runners-up)
ITF Finals
Singles: 11 (6 titles, 5 runner-ups)
Doubles: 7 (4 titles, 3 runner-ups)
WTA Tour career earnings
Current as of 3 November 2021
Grand Slam tournament seedings
Record against top 10 players
Top 10 wins
Notes
References
External links
Carla Suárez Navarro at CoreTennis
Suarez Navarro, Carla |
https://en.wikipedia.org/wiki/List%20of%20Paralympic%20Games%20records%20in%20track%20cycling | This is the list of Paralympic records in track cycling.
Men's records
denotes a performance that is also a current world record. Statistics are correct as of 2 August 2023.
Women's records
denotes a performance that is also a current world record. Statistics are correct as of 6 August 2023.
Mixed records
denotes a performance that is also a current world record. Statistics are correct as of 28 August 2021.
References
External links
Paralympic Records – Men
Paralympic Records – Women
Cycling
records
Track cycling records
Paralympic Games |
https://en.wikipedia.org/wiki/Alex%20Fabbri | Alex Fabbri (born 18 August 1998) is a Sammarinese motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
* Season still in progress.
Races by year
* Season still in progress.
External links
Profile on CIV.tv
Living people
Sammarinese motorcycle racers
Moto3 World Championship riders
1998 births |
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