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https://en.wikipedia.org/wiki/List%20of%20topologies
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The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property.
Discrete and indiscrete
Discrete topology − All subsets are open.
Indiscrete topology, chaotic topology, or Trivial topology − Only the empty set and its complement are open.
Cardinality and ordinals
Cocountable topology
Given a topological space the on is the topology having as a subbasis the union of and the family of all subsets of whose complements in are countable.
Cofinite topology
Double-pointed cofinite topology
Ordinal number topology
Pseudo-arc
Ran space
Tychonoff plank
Finite spaces
Discrete two-point space − The simplest example of a totally disconnected discrete space.
Either–or topology
Finite topological space
Pseudocircle − A finite topological space on 4 elements that fails to satisfy any separation axiom besides T0. However, from the viewpoint of algebraic topology, it has the remarkable property that it is indistinguishable from the circle
Sierpiński space, also called the connected two-point set − A 2-point set with the particular point topology
Integers
Arens–Fort space − A Hausdorff, regular, normal space that is not first-countable or compact. It has an element (i.e. ) for which there is no sequence in that converges to but there is a sequence in such that is a cluster point of
Arithmetic progression topologies
The Baire space − with the product topology, where denotes the natural numbers endowed with the discrete topology. It is the space of all sequences of natural numbers.
Divisor topology
Partition topology
Deleted integer topology
Odd–even topology
Fractals and Cantor set
Apollonian gasket
Cantor set − A subset of the closed interval with remarkable properties.
Cantor dust
Cantor space
Koch snowflake
Menger sponge
Mosely snowflake
Sierpiński carpet
Sierpiński triangle
Smith–Volterra–Cantor set, also called the − A closed nowhere dense (and thus meagre) subset of the unit interval that has positive Lebesgue measure and is not a Jordan measurable set. The complement of the fat Cantor set in Jordan measure is a bounded open set that is not Jordan measurable.
Orders
Alexandrov topology
Lexicographic order topology on the unit square
Order topology
Lawson topology
Poset topology
Upper topology
Scott topology
Scott continuity
Priestley space
Roy's lattice space
Split interval, also called the and the − All compact separable ordered spaces are order-isomorphic to a subset of the split interval. It is compact Hausdorff, hereditarily Lindelöf, and hereditarily separable but not metrizable. Its metrizable subspaces are all countable.
Specialization (pre)order
Manifolds and complexes
Branching line − A non-Hausdorff manifold.
Double origin topology
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https://en.wikipedia.org/wiki/Kirchberger%27s%20theorem
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Kirchberger's theorem is a theorem in discrete geometry, on linear separability. The two-dimensional version of the theorem states that, if a finite set of red and blue points in the Euclidean plane has the property that, for every four points, there exists a line separating the red and blue points within those four, then there exists a single line separating all the red points from all the blue points. Donald Watson phrases this result more colorfully, with a farmyard analogy:
More generally, for finitely many red and blue points in -dimensional Euclidean space, if the red and blue points in every subset of of the points are linearly separable, then all the red points and all the blue points are linearly separable. Another equivalent way of stating the result is that, if the convex hulls of finitely many red and blue points have a nonempty intersection, then there exists a subset of points for which the convex hulls of the red and blue points in the subsets also intersect.
History and proofs
The theorem is named after German mathematician Paul Kirchberger, a student of David Hilbert at the University of Göttingen who proved it in his 1902 dissertation, and published it in 1903 in Mathematische Annalen, as an auxiliary theorem used in his analysis of Chebyshev approximation. A report of Hilbert on the dissertation states that some of Kirchberger's auxiliary theorems in this part of his dissertation were known to Hermann Minkowski but unpublished; it is not clear whether this statement applies to the result now known as Kirchberger's theorem.
Since Kirchberger's work, other proofs of Kirchberger's theorem have been published, including simple proofs based on Helly's theorem on intersections of convex sets, based on Carathéodory's theorem on membership in convex hulls, or based on principles related to Radon's theorem on intersections of convex hulls. However, Helly's theorem, Carathéodory's theorem, and Radon's theorem all postdate Kirchberger's theorem.
Generalizations and related results
A strengthened version of Kirchberger's theorem fixes one of the given points, and only considers subsets of points that include the fixed point. If the red and blue points in each of these subsets are linearly separable, then all the red points and all the blue points are linearly separable. The theorem also holds if the red points and blue points form compact sets that are not necessarily finite.
By using stereographic projection, Kirchberger's theorem can be used to prove a similar result for circular or spherical separability: if every five points of finitely many red and blue points in the plane can have their red and blue points separated by a circle, or every points in higher dimensions can have their red and blue points separated by a hypersphere, then all the red and blue points can be separated in the same way.
See also
Hyperplane separation theorem, the theorem that disjoint compact convex sets are linearly separable
References
Further rea
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https://en.wikipedia.org/wiki/J%C3%A9r%C3%B4me%20Arpinon
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Jérôme Arpinon (born 5 April 1978) is a French professional football manager.
Career
In June 2020, Arpinon replaced Bernard Blaquart as manager of Ligue 1 club Nîmes Olympique.
Managerial statistics
References
External links
1978 births
Living people
Association football coaches
Sportspeople from Nîmes
French football managers
Nîmes Olympique managers
Ligue 1 managers
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https://en.wikipedia.org/wiki/Warren%20Madrigal
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Warren Steven Madrigal Molina (born 24 July 2004) is a Costa Rican professional footballer who currently plays as a forward for Saprissa and the Costa Rica national team.
Career statistics
Club
Notes
Honours
Club
Saprissa
Liga FPD: Clausura 2021
References
2004 births
Living people
Costa Rican men's footballers
Men's association football forwards
Deportivo Saprissa players
Liga FPD players
Costa Rica men's international footballers
2023 CONCACAF Gold Cup players
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https://en.wikipedia.org/wiki/Jostin%20Teller%C3%ADa
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Jostin Tellería Alfaro (born 10 April 2003) is a Costa Rican professional footballer who currently plays as a midfielder for CF Intercity.
Career statistics
Club
Notes
Honours
Club
Saprissa
Liga FPD: Clausura 2021
References
2003 births
Living people
Costa Rican men's footballers
Men's association football midfielders
Deportivo Saprissa players
Liga FPD players
CF Intercity players
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https://en.wikipedia.org/wiki/Jedwin%20Lester
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Jedwin Johao Lester Arroyo (born 21 August 2002) is a Costa Rican footballer who currently plays as a midfielder for AD Guanacasteca.
Career statistics
Club
Notes
References
2002 births
Living people
Costa Rican men's footballers
Men's association football midfielders
Deportivo Saprissa players
Liga FPD players
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https://en.wikipedia.org/wiki/Missionary%20Fathers%20of%20Our%20Lady%20of%20Deliverance
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The Missionary Fathers of Our Lady of Deliverance () is a former French religious congregation of men founded about 1820 to promote the Catholic faith in the region of Normandy in the aftermaths of the destruction to religious practice during the French Revolution.
History
Foundation
In 1819, under the leadership of Louis Saulet (1796-1862), who had just been ordained a priest of the Diocese of Bayeux, a small group of priests and seminarians in the diocese saw the great challenge still existing in re-establishing the Catholic faith to a population devastated by the destruction of Church institutions during the French Revolution and the social disruption left in the wake of the Napoleonic era. Inspired by the model of the Society of Missionaries for France recently founded in Lyons, the group determined to form themselves into a religious congregation, subject to religious vows. They committed themselves to serve the diocese as missionaries to the local populace, working to revive their practice of the Catholic faith and deepen it through spiritual retreats.
Given the approval of the local bishop, Charles Brault, for this enterprise, in 1820 they acquired the chateau of Sommervieu, which became their motherhouse. The bishop soon charged the new community of priests to help in the pastoral care of pilgrims to the Basilica of Our Lady of Deliverance in Douvres, the major Marian shrine of Normandy, as the regular team of priests on staff at the shrine were overwhelmed by the large number of visitors. By 1824 the group was sufficiently established to elect a Superior General, to which office Saulet was elected as the first to serve in it.
Saulet became the confessor of a young nobleman, Henriette Le Forestier d'Osseville, who had felt a call to found a new religious of women to need the social needs of young women in the region. He gave her the advice and support needed to assist her in the establishment of the Sisters of Our Lady of Fidelity in 1831. The association between their congregations was to last throughout the history of the men's community.
Choosing to remain a congregation of diocesan right, the Missionaries remained a part of the diocese, under the authority of its bishop, and serving just within that diocese. While remaining stable, as a consequence they never grew in large numbers. By 1904, they numbered some 80 members, both priests and Religious Brothers, with twenty men in training for their way of life in their novitiate.
Dispersal and rebirth
In July 1904, the French government broke off relations with the Holy See, abrogating the nation's concordat with the Catholic Church. As a consequence of the resulting Law of Separation, the government banned the operation of all religious orders in the country and seized their properties. Many members of the religious orders went into exile in other countries, both in Europe and North America. This was the fate also of the Missionary Fathers, who lost their motherhouse in Sommervieu.
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https://en.wikipedia.org/wiki/H%C3%A9l%C3%A8ne%20Bellosta
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Hélène Bellosta-Baylet (1946 – 19 August 2011) was a French historian of mathematics specializing in mathematics in medieval Islam.
Education and career
Bellosta was a student at the École normale supérieure de jeunes filles, and taught mathematics in the lycées for many years. She became a student of the historian of mathematics Roshdi Rashed, earned a doctorate in epistemology and the history of science at Paris Diderot University, and, after four years of work at the French Institute of Arab Studies in Damascus (IFEAD), became a director of research for the French National Centre for Scientific Research (CNRS), associated with the Center for the History of Arab and Medieval Sciences and Philosophies at Paris Diderot University.
Books
With Rashed, Bellosta edited and translated the works of Apollonius of Perga in the book Apollonius de Perge, La section des droites selon des rapports, Commentaire historique et mathématique, édition et traduction du texte arabe (de Gruyter, 2010). They were also the coauthors of a book on Ibrahim ibn Sinan, Ibrāhīm ibn Sinān: Logique et géométrie au Xe siècle (Brill, 2000).
Recognition
Bellosta became a corresponding member of the International Academy of the History of Science in 2005.
References
External links
Bibliography of Bellosta's works, SPHERE, Paris Diderot University
1946 births
2011 deaths
20th-century French historians
French women historians
20th-century French mathematicians
French women mathematicians
French historians of mathematics
Paris Diderot University alumni
21st-century French historians
21st-century French mathematicians
Research directors of the French National Centre for Scientific Research
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https://en.wikipedia.org/wiki/Lee%20Gwang-in
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Lee Gwang-in (; born 1 July 2001) is a South Korean footballer who plays as a forward for FC St. Pauli II.
Career statistics
Club
References
2001 births
Living people
South Korean men's footballers
Men's association football forwards
South Korea men's youth international footballers
Liga Portugal 2 players
Regionalliga players
Ulsan Hyundai FC players
Suwon Samsung Bluewings players
C.D. Mafra players
FC St. Pauli II players
South Korean expatriate men's footballers
South Korean expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
South Korean expatriate sportspeople in Germany
Expatriate men's footballers in Germany
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https://en.wikipedia.org/wiki/Damian%20Timan
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Damian Timan (born 5 March 2001) is a Dutch footballer who plays as a midfielder for the Jong Cambuur.
Career statistics
Club
Notes
References
2001 births
Living people
Dutch men's footballers
Netherlands men's youth international footballers
Men's association football midfielders
PSV Eindhoven players
Jong PSV players
SC Cambuur players
Eerste Divisie players
Footballers from North Holland
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https://en.wikipedia.org/wiki/Mary%20Leontius%20Schulte
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Sister Mary Leontius Schulte (September 4, 1901 – March 20, 2000) was an American nun, mathematics educator, and historian of mathematics.
Life
Schulte was born as Catherine Mary Schulte, on September 4, 1901, in Cleveland, Manitowoc County, Wisconsin, in a large farming family descended from German immigrants. After finishing high school in Manitowoc, she began studying home economics at the College of Saint Teresa, but graduated in 1923 with a degree in chemistry and three minors including mathematics. She worked as a high school mathematics teacher in Minnesota from 1923 to 1928, taking vows as a nun in the Sisters of Saint Francis of Rochester, Minnesota in 1927.
In 1928, Schulte returned to the study of mathematics as a graduate student at the University of Michigan, primarily taking summer courses there while also becoming an instructor at the College of Saint Teresa. She earned a master's degree in 1931 and completed her Ph.D. in 1935. Her dissertation was supervised by Louis Charles Karpinski.
Although taking a leave to complete her doctorate, Schulte remained at the College of Saint Teresa, earning a promotion to full professor in 1948 and retiring in 1975. In the early 1960s, a local television station broadcast a series of her lectures.
After the College of Saint Teresa closed in 1987, Schulte moved to a home for the Sisters of Saint Francis in Rochester, Minnesota, where she died on March 20, 2000.
Book
Schulte's doctoral dissertation, Additions in Arithmetic, 1483-1700, to the Sources of Cajori's 'History of Mathematical Notations' and Tropfke's 'Geschichte Der Elementar-Mathematik, concerned the history of mathematical notation. It added to the work of Florian Cajori and Johannes Tropfke in this area by describing the notation from over 100 mathematical documents that had been collected at the University of Michigan library and at the Rare Book & Manuscript Library at Columbia University.
In 2015, Docent Press published Schulte's dissertation as a book, Writing the History of Mathematical Notation: 1483–1700, edited by Albrecht Heeffer and Douglas Furman, including also an introduction by Heeffer, bibliographic notes by Furman, and two biographical sketches of Schulte. For this edition of Schulte's work, many instances of mathematical notation, hand-drawn by Schulte for her thesis, were replaced by digital reproductions of the original notations she discusses, showing each notation in its surrounding context.
References
20th-century American Roman Catholic nuns
20th-century American mathematicians
American women mathematicians
American historians of mathematics
University of Michigan alumni
1901 births
2000 deaths
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https://en.wikipedia.org/wiki/Mikl%C3%B3s%20Micsinai
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Miklós Micsinai (born 11 January 1998) is a Hungarian professional footballer who plays for Szeged-Csanád.
Club career
On 24 June 2022, Micsinai joined Szeged-Csanád.
Career statistics
.
References
External links
1998 births
Footballers from Kecskemét
Living people
Hungarian men's footballers
Men's association football midfielders
BFC Siófok players
Kazincbarcikai SC footballers
Budafoki MTE footballers
Szeged-Csanád Grosics Akadémia footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
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https://en.wikipedia.org/wiki/Ralph%20Oelofse
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Roelof Johannes Gysbertus 'Ralph' Oelofse (12 November 1926 – 24 October 2001) was a South African footballer who played in England for Chelsea and Watford.
Career statistics
Club
Notes
References
1926 births
2001 deaths
South African men's soccer players
South African expatriate men's soccer players
Men's association football defenders
Berea Park F.C. players
Chelsea F.C. players
Watford F.C. players
South African expatriate sportspeople in England
Expatriate men's footballers in England
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https://en.wikipedia.org/wiki/Diego%20Duarte%20%28footballer%29
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Diego Ariel Duarte Garcete (born 8 April 2002) is a Paraguayan footballer who plays as a forward for Club Olimpia.
Career statistics
Club
Notes
References
2002 births
Living people
Men's association football forwards
Paraguayan men's footballers
Paraguay men's youth international footballers
Paraguayan Primera División players
Club Olimpia footballers
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https://en.wikipedia.org/wiki/List%20of%20towns%20and%20cities%20in%20Germany%20by%20historical%20population
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The list of the largest German cities provides an overview of the most populous cities that were located in contemporary German territory at the time of the individual statistics.
Industrialization in the 19th century, especially since the and the foundation of the German Empire in 1871, brought with it increased urbanization in Germany, leading to a largely urbanized society.
The following tables show historical population figures of German cities according to the respective area status. Also listed is the superordinate administrative unit (state, country, kingdom, province, district) to which the city belonged in the corresponding year. The following historical and current German state entities were taken into account:
Holy Roman Empire (962–1806)
German Confederation (1815–1866)
German Reich (1871–1949)
German Democratic Republic (1949–1990)
Federal Republic of Germany (since 1949)
Current information can be found in the list of cities in Germany by population.
Antiquity
Ancient Rome developed from 200 B.C. and spread from Italy to northern Italy, northern Africa (Tunisia) and central Europe in the following period. The heyday of the ancient Romans can be seen in the 1st to 3rd century A.D., many ancient ruins date from this period.
Roman cities in Germany were mainly built along the Rhine and Danube:
Augsburg
Bonn
Koblenz
Cologne
Mainz
Neuss
Nida
Passau
Regensburg
Straubing
Trier, already in the 3rd and 4th century the largest city north of the Alps with an estimated 80,000 inhabitants
Xanten
Middle Ages to modern times
With the migration of peoples in the 5th century, the ancient cities on the territory of present-day Germany were largely decayed. Only Augsburg, Regensburg, Trier and Cologne have been preserved as cities. The number of cities in Central Europe remained very small until about 1100 with a few hundred. By far the largest number of new cities was created in the following 250 years, when numerous cities were founded from 1120 onwards, mostly by an act of foundation and town planning. Around the beginning of the modern era, at the beginning of the 16th century, the free and imperial cities as well as the residence cities were the most important cities (among others, today mainly Dutch, French and Belgian cities):
Cologne and Prague with about 40,000 inhabitants,
Augsburg, Lübeck, Magdeburg and Nuremberg with about 20,000 to 30,000 inhabitants,
Aachen, Basel, Braunschweig, Bremen, Breslau, Erfurt, Geneva, Hamburg, Lüneburg, Metz, , Trier, Ulm and Vienna, with about 10,000–20,000 inhabitants.
1500
The population figures are estimates.
1700
The population figures are estimates.
1750
The population figures are estimates.
1800
The population figures are estimates.
1849
The population and area status refer to the census of 3 December 1849.
1880
The population and area status refer to the census of 1 December 1880.
1910
The population and area status refer to the census of 1 December 191
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https://en.wikipedia.org/wiki/1958%E2%80%9359%20Rochdale%20A.F.C.%20season
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The 1958–59 season saw Rochdale compete in the newly formed Football League Third Division.
Statistics
|}
Final League Table
Competitions
Football League Third Division
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
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https://en.wikipedia.org/wiki/Lunar%20eclipses%20by%20century
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This article gives statistics for lunar eclipses grouped by century. Detailed information about tetrads, timing, and other facts can be found at the linked references.
General statistics
In the 5,000 years from 2000 BC to 3000 AD, there will be a total of 12,064 lunar eclipses:
4,378 penumbral eclipses, of which 4,237 were partial and 141 were total
4,207 partial eclipses
3,479 total eclipses, of which 2,074 were central and 1,405 were non-central
The longest partial lunar eclipse during this period will occur on 8 February 2669, lasting 3:30:02. The longest total eclipse occurred on 31 May 318, with a duration of 01:46:36.
Lunar eclipses by century
See also
Historically significant lunar eclipses
References
Century
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https://en.wikipedia.org/wiki/Alice%20Slotsky
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Alice Louise Slotsky (née Weisfeld) was an American historian of mathematics and Assyriologist known for her studies of Babylonian mathematics and Babylonian accounting and for her popular courses at Brown University on the Akkadian language.
Education and career
Slotsky did her undergraduate studies at Bryn Mawr College, majoring in economics, and continued as a graduate student of economics at New York University. In 1959, she married Gordon J. Slotsky, who became a statistician in the aerospace industry. Many years later, she returned to graduate study in the history of mathematics at Yale University, where she completed a Ph.D. in 1992 under the supervision of Asger Aaboe.
Slotsky became a visiting associate professor in the department of history of mathematics at Brown University, led by David Pingree, where she taught the Akkadian language beginning in 1999. Her course became "wildly popular", and through it she taught "more students than any previous Assyriologist". However, when Pingree died in 2005, the university shut down the department and shunted Slotsky off to an interim position in the classics department, where she taught for only two more years, before the Akkadian class was removed from that department as well.
She died on June 13, 2023, in Providence, Rhode Island.
Books
Slotsky's 1992 doctoral dissertation became a 1997 book by the same title, The Bourse of Babylon: market quotations in the astronomical diaries of Babylonia (CDL Press). With Ronald Wallenfels, she also published a second book, Tallies and Trends: The Late Babylonian Commodity Price Lists (CDL Press, 2009).
With Sarah C. Melville, she edited Opening the Tablet Box: Near Eastern Studies in Honor of Benjamin R. Foster (Brill, 2010).
Recognition
A festschrift in Slotsky's honor, From the Banks of the Euphrates: Studies in Honor of Alice Louise Slotsky, was edited by Micah Ross and published by Eisenbrauns in 2008.
References
Year of birth missing (living people)
Living people
Bryn Mawr College alumni
New York University alumni
Yale University alumni
Brown University faculty
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
American historians of mathematics
American Assyriologists
20th-century American women
21st-century American women
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https://en.wikipedia.org/wiki/Clemency%20Montelle
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Clemency Montelle (born 8 July 1977) is a New Zealand historian of mathematics known for her research on Indian mathematics and Indian astronomy. She is a professor of mathematics at the University of Canterbury, and a fellow of the New Zealand India Research Institute of the Victoria University of Wellington.
Education
Montelle is originally from Christchurch. She earned first class honours in mathematics and classical studies at the University of Canterbury in 1999, and completed a master's degree there in 2000. It was not until the fourth year of her studies that, finding a copy of Euclid in the original Greek, she realized that she could reconcile her two interests by working in the history of mathematics.
She became a Fulbright Scholar at Brown University, where she learned Cuneiform, Sanskrit, and Arabic. She completed a Ph.D. in the history of mathematics there in 2005; at Brown, her faculty mentors included David Pingree, Alice Slotsky, and Kim Plofker.
Service
Montelle was vice president of the Commission for the History of Ancient and Medieval Astronomy for the 2017–2021 term.
Books
Montelle is the author of the book Chasing Shadows: Mathematics, Astronomy, and the Early Reckoning of Eclipse theory (Johns Hopkins Press, 2011). With Kim Plofker, she is the coauthor of Sanskrit Astronomical Tables (Springer, 2019).
References
External links
Home page
1977 births
Living people
New Zealand women mathematicians
Historians of mathematics
University of Canterbury alumni
Academic staff of the University of Canterbury
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https://en.wikipedia.org/wiki/R%C4%83zvan%20Ducan
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Răzvan Cristian Ducan (born 9 February 2001) is a Romanian professional footballer who plays as a goalkeeper for Liga I side Botoșani .
Career statistics
Club
References
2001 births
Living people
Romanian men's footballers
Romania men's under-21 international footballers
Romania men's youth international footballers
Men's association football goalkeepers
Liga I players
Liga II players
FC Steaua București players
FC Argeș Pitești players
AFC Turris-Oltul Turnu Măgurele players
CS Mioveni players
FC Botoșani players
Sportspeople from Teleorman County
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https://en.wikipedia.org/wiki/Yuriy%20Drozd
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Yuriy Drozd (; born October 15, 1944) is a Ukrainian mathematician working primarily in algebra. He is a Corresponding Member of the National Academy of Sciences of Ukraine and head of the Department of Algebra and Topology at the Institute of Mathematics of the National Academy of Sciences of Ukraine.
Biography
Drozd graduated from Kyiv University in 1966, pursuing a postgraduate degree at the Institute of Mathematics of the National Academy of Sciences of Ukraine in 1969. His PhD dissertation On Some Questions of the Theory of Integral Representations (1970) was supervised by Igor Shafarevich.
From 1969 to 2006 Drozd worked at the Faculty of Mechanics and Mathematics at Kyiv University (at first as lecturer, then as associate professor and full professor). From 1980 to 1998 he headed the Department of Algebra and Mathematical Logic. Since 2006 he has been the head of the Department of Algebra and Topology (until 2014 - the Department of Algebra) of the Institute of Mathematics of the National Academy of Sciences of Ukraine. His doctoral students include Volodymyr Mazorchuk.
In 2022 and 2023, Drozd taught at the Mathematics Department of Harvard University.
References
External links
Personal site.
Oberwolfach Photo Collection.
Yuriy Drozd, Introduction to Algebraic Geometry (course lecture notes, University of Kaiserslautern).
Yuriy Drozd, Vector Bundles over Projective Curves.
Yuriy Drozd, General Properties of Surface Singularities.
Scientists from Kyiv
Ukrainian mathematicians
1944 births
Living people
NASU Institute of Mathematics
Members of the National Academy of Sciences of Ukraine
Algebraists
Laureates of the State Prize of Ukraine in Science and Technology
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https://en.wikipedia.org/wiki/Thomas%20Schiestl
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Thomas Schiestl (born 31 August 2002) is an Austrian professional footballer who plays as a midfielder for 2. Liga club Grazer AK.
Career statistics
Club
Honours
FC Liefering
Runner-up
Austrian Football First League: 2021
References
2002 births
Living people
Austrian men's footballers
Men's association football midfielders
FC Liefering players
2. Liga (Austria) players
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https://en.wikipedia.org/wiki/Saarland%20national%20football%20team%20records%20and%20statistics
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The following tables show the Saarland national football team's all-time international record. The statistics are composed of FIFA World Cup qualifiers, and international friendly matches.
Saarland played their first international fixture against Switzerland on 22 November 1950, which ended in a 5–3 victory for Saarland.
Individual records
Player records
In total, 42 players appeared for the Saarland national team. Waldemar Philippi holds the record for the most caps, appearing in 18 out of the team's 19 matches and only missing a friendly against Uruguay in 1954.
Most caps
All goalscorers
Clean sheets
Two goalkeepers managed to keep a clean sheet in Saarland's nineteen matches.
Manager records
Team records
Performances
Performance by competition
Performance by manager
Performance by venue
Head-to-head record
References
Saarland national football team records and statistics
National association football team records and statistics
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https://en.wikipedia.org/wiki/Marco%20Siverio
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Marco Siverio Toro (born 4 October 1994) is a Spanish professional footballer who plays as a forward for SKU Amstetten.
Career statistics
Club
References
External links
Profile at the Delaware Fightin' Blue Hens website
Profile at the Horn website
1994 births
Living people
People from Tenerife
Footballers from the Province of Santa Cruz de Tenerife
Spanish men's footballers
Men's association football forwards
SV Horn players
FC Juniors OÖ players
2. Liga (Austria) players
Spanish expatriate men's footballers
Expatriate men's footballers in Austria
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https://en.wikipedia.org/wiki/Nina%20Holden
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Nina Holden is a Norwegian mathematician interested in probability theory and stochastic processes, including graphons, random planar maps, the Schramm–Loewner evolution, and their applications to quantum gravity. She is a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich, and has accepted a position as an associate professor at the Courant Institute of Mathematical Sciences of New York University beginning in 2021.
Education
As a student at Berg Upper Secondary School in Oslo, Norway, Holden became the first woman to win the Abel competition, Norway's national Mathematical Olympiad. She competed in 2005 in the International Mathematical Olympiad, where she earned an honorable mention with one of the two top scores on the Norwegian team.
She became a student at the University of Oslo in Norway, where she earned a bachelor's degree in mathematics and computational science in 2008 and a master's degree in applied mathematics in 2010. While a student in Oslo, she also visited the University of Oxford from 2006 to 2007.
After three years of work as an energy market analyst, she went to the Massachusetts Institute of Technology for graduate study, and completed her Ph.D. there in 2018. Her dissertation, Cardy embedding of random planar maps and a KPZ formula for mated trees, was supervised by Scott Sheffield.
Recognition
In association with the 2021 Breakthrough Prizes, Holden was awarded one of three 2021 Maryam Mirzakhani New Frontiers Prizes, for early-career achievements by a woman mathematician. The citation reads: "for work in random geometry, particularly on Liouville Quantum Gravity as a scaling limit of random triangulations." The particular work refers to her joint work with Xin Sun on the convergence of uniform triangulations under a conformal embedding. The other two winners of the prize were Urmila Mahadev and Lisa Piccirillo.
References
External links
Home page at CIMS NYU
Year of birth missing (living people)
1980s births
Living people
Norwegian mathematicians
Women mathematicians
University of Oslo alumni
New York University faculty
Probability theorists
Massachusetts Institute of Technology alumni
|
https://en.wikipedia.org/wiki/Matthis%20Lebel
|
Matthis Lebel (born 25 March 1999) is a French professional rugby union player who plays as a wing for Top 14 club Toulouse and the France national team.
Career statistics
List of international tries
Honours
Toulouse
2× European Rugby Champions Cup: 2019, 2021
1× Top 14: 2021
France
1× Six Nations Championship: 2022
France U20
2× World Rugby Under 20 Championship: 2018, 2019
1× Six Nations Under 20s Championship: 2018
References
External links
France Rugby profile
Toulouse profile
L'Équipe profile
1999 births
Living people
France international rugby union players
Rugby union players from Toulouse
French rugby union players
Stade Toulousain players
Rugby union wings
|
https://en.wikipedia.org/wiki/Tahiti%20national%20football%20team%20records%20and%20statistics
|
This page details the Tahiti national football team records and statistics; the most capped players, the players with the most goals and Tahiti's match record by opponent.
Individual records
Player records
Most capped players
Top goalscorers
Manager records
Team records
Competition records
FIFA World Cup
FIFA Confederations Cup
OFC Nations Cup
Pacific Games
Polynesia Cup
Coupe de l'Outre-Mer
Head-to-head record
The lists shown below detail the national football team of Tahiti's all-time international record against opposing nations.
The Tahiti national football team is the national team of French Polynesia and is controlled by the Fédération Tahitienne de Football. The team consists of a selection of players from French Polynesia, not just Tahiti.
Tahiti played their first full match on 21 September 1952 when they recorded a 2–2 draw at home against New Zealand. Their first competitive match came almost 11 years later when they entered the South Pacific Games for the first time in 1963, finishing third.
The following tables show Tahiti's all-time international record, correct as of 27 March 2022 vs. New Zealand.
AFC
CAF
CONCACAF
CONMEBOL
OFC
UEFA
Full Confederation record
References
Tahiti national football team
National association football team records and statistics
|
https://en.wikipedia.org/wiki/Robin%20Br%C3%BCseke
|
Robin Brüseke (born 14 September 1993) is a German professional footballer who plays as a goalkeeper for Rot Weiss Ahlen.
Career statistics
References
1993 births
Living people
German men's footballers
Men's association football goalkeepers
SC Verl players
Rot Weiss Ahlen players
3. Liga players
Regionalliga players
|
https://en.wikipedia.org/wiki/Monique%20Chyba
|
Monique Chyba (born 1969) is a control theorist who works as a professor of mathematics at the University of Hawaiʻi at Mānoa. Her work on control theory has involved the theory of singular trajectories, and applications in the control of autonomous underwater vehicles. More recently, she has also applied control theory to the prediction and modeling of the spread of COVID-19 in Hawaii.
Education and career
Chyba's parents Mirek and Jana Chyba were Czech, but settled in Geneva, Switzerland. Chyba earned a Ph.D. through the University of Burgundy in Dijon, France, in 1997, while working as a teaching assistant at the University of Geneva. Her dissertation, Le Cas Martinet en Geometrie Sous-Riemannienne [the Martinet case in sub-Riemannian geometry], was supervised by Bernard Bonnard.
After postdoctoral research at Pierre and Marie Curie University, Harvard University, INRIA Sophia Antipolis, Princeton University, and the University of California, Santa Cruz, she joined the University of Hawaiʻi faculty in 2002. and was promoted to full professor in 2012.
Book
Chyba is an author of the book Singular Trajectories and their Role in Control Theory (with Bernard Bonnard, Springer, 2003).
Recognition
In 2014, Chiba University in Japan gave Chyba their Science and Lectureship Award.
References
External links
Home page
1969 births
Living people
Women mathematicians
University of Hawaiʻi at Mānoa faculty
Control theorists
University of Burgundy alumni
|
https://en.wikipedia.org/wiki/%C8%98tefan%20Can%C4%83
|
Ștefan Marian Cană (born 7 August 2000) is a Romanian professional footballer who plays as a centre-back for Alexandria, on loan from FCSB .
Career statistics
Club
References
2000 births
Living people
Romanian men's footballers
Men's association football defenders
Liga I players
Liga II players
FC Steaua București players
FCV Farul Constanța players
FC Politehnica Iași (2010) players
People from Iași County
|
https://en.wikipedia.org/wiki/Valentin%20Borcea
|
Valentin Ioan Borcea (born 6 July 2002) is a Romanian professional footballer who plays as an attacking midfield for Liga I club Dinamo București.
Career statistics
Club
References
External links
2002 births
Living people
Footballers from Bucharest
Romania men's youth international footballers
Romanian men's footballers
Men's association football midfielders
Liga I players
Liga II players
FC Dinamo București players
|
https://en.wikipedia.org/wiki/Rare%C8%99%20Dogaru
|
Rareș Ștefan Dogaru (born 11 December 2003) is a Romanian professional footballer who plays as a forward.
Career Statistics
Club
References
External links
Rareș Dogaru at frf-ajf.ro
2003 births
Living people
People from Breaza
Romanian men's footballers
Men's association football forwards
Liga I players
CS Gaz Metan Mediaș players
Sportspeople from Prahova County
|
https://en.wikipedia.org/wiki/Alexandru%20Georgescu
|
Alexandru Gabriel Georgescu (born 10 July 2001) is a Romanian professional footballer who plays as a defender for Liga III side Gloria Bistrița-Năsăud, on loan from Farul Constanța.
Career statistics
Club
References
External links
2001 births
Living people
Footballers from Slatina, Romania
Romanian men's footballers
Romania men's youth international footballers
Men's association football midfielders
Liga I players
Liga III players
FC Viitorul Constanța players
FCV Farul Constanța players
CS Gloria Bistrița-Năsăud footballers
|
https://en.wikipedia.org/wiki/1959%E2%80%9360%20Rochdale%20A.F.C.%20season
|
The 1959–60 season saw Rochdale compete for their first season in the Football League Fourth Division, following relegation the previous season.
Statistics
|}
Final League Table
Competitions
Football League Fourth Division
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/DZS%20%28disambiguation%29
|
DZS may refer to:
Companies and organizations
DZS, a US telecommunications company
The Croatian Bureau of Statistics, Državni zavod za statistiku
Detroit Zoological Society, operators of the Detroit Zoo
Other
Hungarian dzs, a letter in the Hungarian language
|
https://en.wikipedia.org/wiki/Awad%20Al-Nashri
|
Awad Al-Nashri (; born 15 March 2002), is a Saudi Arabian professional footballer who plays as a midfielder for Saudi Professional League side Al-Ittihad.
Career statistics
Club
Notes
Honours
Al-Ittihad
Saudi Professional League: 2022–23
Saudi Super Cup: 2022
Saudi Arabia U23
AFC U-23 Asian Cup: 2022
WAFF U-23 Championship: 2022
References
External links
2002 births
Living people
Saudi Arabian men's footballers
Saudi Arabia men's youth international footballers
Saudi Arabia men's international footballers
Men's association football midfielders
Saudi Pro League players
Al-Ittihad Club (Jeddah) players
|
https://en.wikipedia.org/wiki/Akira%20Osako
|
is a Japanese footballer currently playing as a defender for Azul Claro Numazu.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football defenders
Nippon Sport Science University alumni
J3 League players
Azul Claro Numazu players
|
https://en.wikipedia.org/wiki/Kota%20Suzuki
|
is a Japanese footballer currently playing as a forward for Azul Claro Numazu.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Senshu University alumni
J3 League players
Azul Claro Numazu players
|
https://en.wikipedia.org/wiki/Takatora%20Kondo
|
is a Japanese footballer currently playing as a left-back for FC Imabari.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football defenders
Ryutsu Keizai University alumni
Japan Football League players
J3 League players
FC Imabari players
|
https://en.wikipedia.org/wiki/Yuki%20Kaneko%20%28footballer%2C%20born%201996%29
|
is a Japanese footballer currently playing as a goalkeeper for Vanraure Hachinohe.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Japanese men's footballers
Men's association football goalkeepers
Sendai University alumni
J3 League players
Vanraure Hachinohe players
|
https://en.wikipedia.org/wiki/Ar%C3%B3n%20S%C3%A1nchez
|
José Arón Sánchez Flores (born 4 May 2003) is a Peruvian footballer who plays as a centre-back for Academia Cantolao.
Career statistics
Club
Notes
References
2003 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football defenders
Esther Grande footballers
Academia Deportiva Cantolao players
Footballers from Lima
|
https://en.wikipedia.org/wiki/Diego%20Crosa%20%28footballer%2C%20born%202002%29
|
Diego Antonio Crosa Cuevas (born 21 October 2002) is a Mexican professional footballer who plays as a midfielder for Puebla.
Career statistics
Club
Notes
References
External links
2002 births
Living people
Mexican men's footballers
Men's association football midfielders
C.D. Veracruz footballers
Club Puebla players
Tlaxcala F.C. players
Liga de Expansión MX players
Footballers from Veracruz
Sportspeople from Veracruz (city)
Tercera División de México players
|
https://en.wikipedia.org/wiki/Carlos%20Alberto%20Barbosa
|
Carlos Alberto Rodrigues Barbosa (15 February 1954 – 7 March 1982) was a Brazilian footballer. He died after suffering a heart attack during a game against XV de Jaú.
Career statistics
Club
References
1954 births
1982 deaths
Brazilian men's footballers
Brazil men's youth international footballers
Brazil men's international footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Santa Cruz Futebol Clube players
Sport Club Internacional players
Sport Club do Recife players
Association football players who died while playing
Sport deaths in Brazil
Footballers from Recife
|
https://en.wikipedia.org/wiki/Glenn%20Kwidama
|
Glenn Kwidama (born 31 July 1962) is a former Netherlands Antilles international footballer who played as a midfielder.
Career statistics
Club
Notes
References
1962 births
Living people
Dutch Antillean men's footballers
Netherlands Antilles men's international footballers
Dutch Antillean expatriate men's footballers
Men's association football midfielders
Eredivisie players
Feyenoord players
Expatriate men's footballers in the Netherlands
RKV FC Sithoc players
Footballers from Willemstad
|
https://en.wikipedia.org/wiki/G%C3%A1bor%20Zsibor%C3%A1s
|
Gábor Zsiborás (12 November 1957 – 7 September 1993) was a Hungarian professional footballer who played as a goalkeeper.
Career statistics
Club
Notes
International
References
External links
1957 births
1993 deaths
Hungarian men's footballers
Hungary men's international footballers
Men's association football goalkeepers
Nemzeti Bajnokság I players
Ferencvárosi TC footballers
MTK Budapest FC players
Footballers from Budapest
|
https://en.wikipedia.org/wiki/Felipe%20Micael
|
Felipe Micael Tenorio Menezes (born 3 July 2001) is a Brazilian footballer who plays as a forward for Athletic.
Career statistics
Club
Notes
References
2001 births
People from Catanduva
Footballers from São Paulo (state)
Living people
Brazilian men's footballers
Men's association football forwards
Mirassol Futebol Clube players
K Beerschot VA players
Ceará Sporting Club players
FC Cascavel players
Campeonato Brasileiro Série D players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Brazilian expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in the United Arab Emirates
Athletic Club (MG) players
|
https://en.wikipedia.org/wiki/Ryotaro%20Onishi
|
is a Japanese footballer who plays as a midfielder for club Roasso Kumamoto.
Career statistics
Club
.
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Hosei University alumni
J2 League players
J3 League players
FC Gifu players
Roasso Kumamoto players
|
https://en.wikipedia.org/wiki/Masafumi%20Nakaguchi
|
is a Japanese former footballer.
Career statistics
Club
Notes
Managerial statistics
References
External links
1972 births
Living people
Japanese men's footballers
Osaka University of Commerce alumni
Japan Football League players
Gamba Osaka players
J3 League managers
Vanraure Hachinohe managers
Japanese football managers
Men's association football midfielders
|
https://en.wikipedia.org/wiki/G%C3%B6kmen%20Y%C4%B1ld%C4%B1ran
|
Gökmen Yıldıran (31 August 1978 – 9 August 2006) was a Turkish footballer who played professionally in Turkey. He died after suffering a heart attack during training.
Career statistics
Club
Notes
References
1978 births
2006 deaths
Turkish men's footballers
Turkey men's youth international footballers
Men's association football forwards
MKE Ankaragücü footballers
Vanspor footballers
Altay S.K. footballers
Adanaspor footballers
İstanbulspor footballers
Elazığspor footballers
Süper Lig players
TFF First League players
TFF Second League players
TFF Third League players
Sport deaths in Turkey
Association football players who died while playing
Footballers from Istanbul
|
https://en.wikipedia.org/wiki/Marek%20Hecl
|
Marek Hecl (born 30 December 1997) is a Slovak professional ice hockey player. He is currently playing for the HKM Zvolen of the Slovak Extraliga.
Career statistics
Regular season and playoffs
References
External links
1997 births
Living people
Slovak ice hockey right wingers
Ice hockey people from Trenčín
HC Slovan Bratislava players
HK Dukla Trenčín players
HC Olomouc players
HKM Zvolen players
HC Dynamo Pardubice players
HC Vrchlabí players
Slovak expatriate ice hockey players in the Czech Republic
Slovak expatriate ice hockey players in Sweden
|
https://en.wikipedia.org/wiki/Bertalan%20Bocskay
|
Bertalan Bocskay (born 2 March 2002) is a Hungarian professional footballer who plays for Budapest Honvéd as a midfielder.
Career statistics
.
References
2002 births
Living people
Footballers from Budapest
Hungarian men's footballers
Men's association football midfielders
Budapest Honvéd FC players
FK TSC players
Nemzeti Bajnokság I players
Serbian SuperLiga players
Hungarian expatriate men's footballers
Expatriate men's footballers in Serbia
Hungarian expatriate sportspeople in Serbia
|
https://en.wikipedia.org/wiki/Gabriel%20Novaes
|
Gabriel Novaes Fernandes (born 5 April 1999), known as Gabriel Novaes, is a Brazilian footballer who plays as a forward for Goiás, on loan from Red Bull Bragantino.
Career statistics
Club
Honours
São Paulo
Copa São Paulo de Futebol Jr.: 2019
Goiás
Copa Verde: 2023
References
External links
1999 births
Living people
Brazilian men's footballers
Brazil men's youth international footballers
Brazilian expatriate men's footballers
Men's association football forwards
Segunda División B players
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
São Paulo FC players
FC Barcelona players
FC Barcelona Atlètic players
Córdoba CF players
Esporte Clube Juventude players
Esporte Clube Bahia players
Red Bull Bragantino players
Goiás Esporte Clube players
Brazilian expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Footballers from São Paulo
|
https://en.wikipedia.org/wiki/Pavel%20Tk%C3%A1%C4%8D
|
Pavel Tkáč (born 15 June 1998) is a Czech footballer who currently plays as a defender for Slovácko.
Career statistics
Club
Notes
References
1998 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football defenders
1. FC Slovácko players
MFK Vítkovice players
Czech First League players
Czech National Football League players
|
https://en.wikipedia.org/wiki/Jan%20Plach%C3%BD
|
Jan Plachý (born 7 May 1998) is a Czech footballer who currently plays as a goalkeeper for Teplice.
Career statistics
Club
Notes
References
1998 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football goalkeepers
FK Teplice players
FK Viagem Ústí nad Labem players
Bohemian Football League players
Czech National Football League players
|
https://en.wikipedia.org/wiki/Gerardo%20Mendoza
|
Gerardo José Mendoza (3 January 1989 – 18 July 2019) was a Venezuelan footballer who played as a midfielder. He was killed in a robbery on his home in Trujillo, Venezuela, in 2019.
Career statistics
Club
Notes
References
1989 births
2019 deaths
Venezuelan men's footballers
Men's association football midfielders
Trujillanos FC players
Portuguesa F.C. players
Yaracuyanos FC players
Venezuelan Primera División players
Venezuelan murder victims
People murdered in Venezuela
2019 murders in Venezuela
People from Valera
21st-century Venezuelan people
|
https://en.wikipedia.org/wiki/Jozef%20Sl%C3%A1dok
|
Jozef Sládok (born 4 June 1988) is a Slovak professional ice hockey player who currently plays professionally for HKM Zvolen of the Slovak Extraliga.
Career statistics
Regular season and playoffs
International
References
External links
1988 births
Living people
Slovak ice hockey defencemen
Ice hockey people from Zvolen
HKM Zvolen players
Plymouth Whalers players
HC '05 Banská Bystrica players
HC 07 Detva players
Romford Raiders players
Hull Stingrays players
Edinburgh Capitals players
Peterborough Phantoms players
HK Dukla Trenčín players
Slovak expatriate sportspeople in Scotland
Slovak expatriate sportspeople in England
Slovak expatriate ice hockey players in Finland
Slovak expatriate ice hockey players in the United States
Expatriate ice hockey players in England
Expatriate ice hockey players in Scotland
|
https://en.wikipedia.org/wiki/Willian%20Candia
|
Willian Benito Candia Garay (born March 23, 1993) is a Paraguayan professional footballer who plays as midfielder for Club Olimpia.
Career statistics
References
External links
1993 births
Living people
Paraguayan men's footballers
Paraguayan expatriate men's footballers
Men's association football midfielders
Cerro Porteño players
Club Deportivo Capiatá players
Racing Club de Avellaneda footballers
Club Olimpia footballers
Club River Plate (Asunción) footballers
Paraguayan Primera División players
Paraguayan expatriate sportspeople in Argentina
Expatriate men's footballers in Argentina
People from Paraguarí Department
|
https://en.wikipedia.org/wiki/Milo%C5%A1%20Roman
|
Miloš Roman (born 6 November 1999) is a Slovak professional ice hockey player who currently for HC Oceláři Třinec of the Czech Extraliga.
Career statistics
Regular season and playoffs
International
Awards and honors
References
External links
1999 births
Living people
HC Frýdek-Místek players
HC Oceláři Třinec players
Vancouver Giants players
Slovak ice hockey centres
Ice hockey players at the 2022 Winter Olympics
Olympic ice hockey players for Slovakia
Medalists at the 2022 Winter Olympics
Olympic bronze medalists for Slovakia
Olympic medalists in ice hockey
Slovak expatriate ice hockey players in the Czech Republic
Slovak expatriate ice hockey players in Canada
|
https://en.wikipedia.org/wiki/Jozef%20%C5%A0vec
|
Jozef Švec (born 8 October 1995) is a Slovak professional ice hockey player who is currently playing for JKH GKS Jastrzębie of the Polska Hokej Liga.
Career statistics
Regular season and playoffs
References
External links
1995 births
Living people
HK Dukla Trenčín players
HK Dubnica players
HK 95 Panthers Považská Bystrica players
Slovak ice hockey left wingers
Ice hockey people from Trenčín
JKH GKS Jastrzębie players
Slovak expatriate sportspeople in Poland
Expatriate ice hockey players in Poland
Slovak expatriate ice hockey people
|
https://en.wikipedia.org/wiki/Yuma%20Mori
|
is a Japanese footballer currently playing as a midfielder for Azul Claro Numazu of J3 League.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Men's association football midfielders
J3 League players
Azul Claro Numazu players
|
https://en.wikipedia.org/wiki/Jeon%20San-hae
|
Jeon San-hae (; born 29 May 1999) is a South Korean footballer currently playing for Yangju Citizen.
Career statistics
Club
.
Notes
References
External links
1999 births
Living people
South Korean men's footballers
South Korean expatriate men's footballers
Men's association football midfielders
Japan Football League players
J3 League players
K3 League players
Ulsan Hyundai FC players
FC Gifu players
Kamatamare Sanuki players
South Korean expatriate sportspeople in Japan
Expatriate men's footballers in Japan
|
https://en.wikipedia.org/wiki/Goh%20Dong-min
|
Goh Dong-min (; born 12 January 1999) is a South Korean footballer who currently plays as a goalkeeper for K League 2 club Gyeongnam FC.
Career statistics
Club
.
Notes
References
External links
1999 births
Living people
South Korean men's footballers
South Korea men's youth international footballers
South Korean expatriate men's footballers
Men's association football goalkeepers
J3 League players
K League 2 players
Matsumoto Yamaga FC players
Vanraure Hachinohe players
Gyeongnam FC players
South Korean expatriate sportspeople in Japan
Expatriate men's footballers in Japan
|
https://en.wikipedia.org/wiki/Yutaro%20Yoshino
|
is a Japanese footballer currently playing as a defender for YSCC Yokohama of J3 League.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Association football people from Kanagawa Prefecture
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football defenders
J3 League players
YSCC Yokohama players
União Suzano Atlético Clube players
Japanese expatriate sportspeople in Brazil
Expatriate men's footballers in Brazil
|
https://en.wikipedia.org/wiki/Yusei%20Egawa
|
is a Japanese footballer who plays as a defender for club Gamba Osaka.
Career statistics
Club
.
References
External links
2000 births
Living people
Association football people from Nagasaki Prefecture
Japanese men's footballers
Men's association football defenders
J1 League players
J2 League players
V-Varen Nagasaki players
Gamba Osaka players
|
https://en.wikipedia.org/wiki/Kakeru%20Kumagawa
|
is a Japanese footballer who plays as a right-back and currently plays for Nankatsu SC of the Kanto Soccer League.
Career statistics
Club
.
Notes
References
External links
Profile at Nankatsu SC
1997 births
Living people
Japanese men's footballers
Ryutsu Keizai University alumni
Men's association football defenders
J1 League players
J3 League players
Kashiwa Reysol players
Iwaki FC players
Yokohama FC players
YSCC Yokohama players
Nankatsu SC players
|
https://en.wikipedia.org/wiki/Luis%20V%C3%A1zquez%20%28footballer%29
|
Luis Ismael Vázquez (born 24 April 2001) is an Argentine professional footballer who plays as a striker for Anderlecht.
Career statistics
Notes
Honours
Boca Juniors
Primera División: 2022
Copa Argentina: 2019–20
Copa de la Liga Profesional: 2020, 2022
Supercopa Argentina: 2022
References
2001 births
Living people
Argentine men's footballers
Men's association football forwards
Club Atlético Patronato footballers
Boca Juniors footballers
Argentine Primera División players
People from Catamarca Province
|
https://en.wikipedia.org/wiki/Lentini%20Caciano
|
Lentini Caciano (born 15 August 2001) is a Curaçaoan footballer who plays as a midfielder for the Under-21 team of the Dutch club Emmen.
Career statistics
Club
Notes
References
2001 births
Living people
Curaçao men's footballers
Curaçao men's under-20 international footballers
Dutch men's footballers
Men's association football midfielders
PEC Zwolle players
FC Emmen players
Eredivisie players
|
https://en.wikipedia.org/wiki/%C4%90ani%20Sal%C4%8Din
|
Đani Salčin (born 19 March 2000) is a Bosnian professional footballer who plays for Bosnian Premier League club Sarajevo and the Bosnia and Herzegovina U21 national team.
Career statistics
Club
Honours
Sarajevo
Bosnian Premier League: 2018–19, 2019–20
Bosnian Cup: 2018–19, 2020–21
Velež Mostar
Bosnian Cup: 2021–22
References
External links
2000 births
Living people
Footballers from Mostar
Bosnia and Herzegovina men's footballers
Bosnia and Herzegovina men's youth international footballers
Bosnia and Herzegovina men's under-21 international footballers
Men's association football midfielders
Men's association football defenders
Premier League of Bosnia and Herzegovina players
FK Sarajevo players
FK Velež Mostar players
|
https://en.wikipedia.org/wiki/Andrew%20Zamorano
|
Andrew Gaspar Zamorano Melgar (born February 4, 1995) is a Uruguayan-Chilean footballer who currently plays for club Cerrito as a left-back.
Career statistics
Club
References
External links
1995 births
Living people
Footballers from Montevideo
Uruguayan men's footballers
Sportspeople of Chilean descent
Chilean men's footballers
Sportivo Cerrito players
C.A. Cerro players
Villa Española players
Atenas de San Carlos players
Uruguayan Segunda División players
Uruguayan Primera División players
Uruguayan people of Chilean descent
Chilean people of Uruguayan descent
Men's association football defenders
|
https://en.wikipedia.org/wiki/Diego%20Aravena
|
Diego Sebastián Aravena Ramírez (born December 30, 1996) is a Chilean footballer who currently plays as central midfielder for club Audax Italiano.
Career statistics
Club
Notes
References
External links
Living people
1996 births
Chilean men's footballers
Deportes Magallanes footballers
Coquimbo Unido footballers
Audax Italiano footballers
Men's association football midfielders
Primera B de Chile players
Chilean Primera División players
Footballers from Santiago
|
https://en.wikipedia.org/wiki/Eva-Maria%20Feichtner
|
Eva-Maria Elisabeth Feichtner (born 1972) is a German mathematician, the founder and director of the Institute for Algebra, Geometry, Topology and their Applications at the University of Bremen, where she is professor of algebra and vice president of internationalization and diversity.
Topics in her research have included tropical geometry, matroid polytopes, Chow rings, toric varieties, lattices and semilattices, and the wonderful compactification.
Education and career
Feichtner earned a diploma in mathematics in 1994 at the Free University of Berlin, and a Ph.D. in 1997 at the Technical University of Berlin. Her dissertation, Cohomology Algebras of Subspace Arrangements and of Classical Configuration Spaces, was supervised by Günter M. Ziegler. She completed her habilitation in 2004 at the Technical University of Berlin.
After postdoctoral research at the Massachusetts Institute of Technology and Institute for Advanced Study, she became an assistant professor at ETH Zurich in 1999, and a research professor at ETH Zurich in 2005. She moved to the University of Stuttgart in 2006 as professor of geometry and topology, and to the University of Bremen in 2007 as professor of algebra.
She became vice president of internationalization and diversity at the University of Bremen in 2017, succeeding .
Personal life
Feichtner is married to Dmitry Feichtner-Kozlov, with whom she frequently collaborates mathematically.
References
External links
Home page
1972 births
Living people
20th-century German mathematicians
German women mathematicians
Free University of Berlin alumni
Technical University of Berlin alumni
Academic staff of ETH Zurich
Academic staff of the University of Stuttgart
Academic staff of the University of Bremen
20th-century German women
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https://en.wikipedia.org/wiki/Elena%20Rybakina%20career%20statistics
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This is a list of the main career statistics of professional Kazakhstani tennis player Elena Rybakina. She has won five career singles titles, and finished runner-up in nine more finals. She achieved her biggest result at the 2022 Wimbledon Championships, where she won the women's singles trophy, becoming the first Kazakhstani player to win a Grand Slam tournament. She has twelve top-10 wins, including victories over the current and former No. 1 players Iga Świątek, Simona Halep, Karolína Plíšková, Garbiñe Muguruza, and Serena Williams. Rybakina entered the top 20 for the first time in February 2020, and on 12 June 2023, she achieved her career-high ranking of world No. 3.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup, United Cup, Hopman Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 US Open.
Doubles
Current through the 2023 US Open.
Mixed doubles
Note: Rybakina played under Russian flag until 2018
Significant finals
Grand Slam tournaments
Singles: 2 (1 title, 1 runner-up)
Olympic Games medal matches
Singles: 1 (4th)
WTA 1000 tournaments
Singles: 3 (2 titles, 1 runner-up)
Doubles: 1 (runner-up)
WTA Tour finals
Singles: 14 (5 titles, 9 runner-ups)
Doubles: 2 (2 runner-ups)
ITF Circuit finals
Singles: 9 (4 titles, 5 runner–ups)
Doubles: 4 (4 titles)
ITF Junior Circuit finals
Singles (6–3)
Doubles (3–5)
Note: Tournaments sourced from official Junior ITF archives
WTA rankings
During the years, Rybakina rose in the rankings. She made big progress in 2019, when debuted in the top 100 and later entered the top 50. In 2020, she continued with improvement, getting to the place of 17 as her career-highest singles ranking.
WTA Tour career earnings
Current after the 2022 Wimbledon
Career Grand Slam statistics
Seedings
The tournaments won by Rybakina are in boldface, and advanced into finals by Rybakina are in italics.
Best Grand Slam results details
Tournament winners are in boldface, and runners-up are in italics.
Head-to-head records
No. 1 wins
Record against top 10 players
She has a 16–16 () record against players who were, at the time the match was played, ranked in the top 10.
Notes
References
Rybakina, Elena
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https://en.wikipedia.org/wiki/Kojiro%20Nakano
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is a Japanese footballer who plays as a goalkeeper for J2 League club Zweigen Kanazawa, on loan from Hokkaido Consadole Sapporo.
Career statistics
Club
.
References
External links
1999 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Hosei University alumni
Men's association football goalkeepers
J1 League players
Hokkaido Consadole Sapporo players
Zweigen Kanazawa players
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https://en.wikipedia.org/wiki/Chile%20national%20football%20team%20results%20%282020%E2%80%93present%29
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This page details the match results and statistics of the Chile national football team from 2020 to present.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Chile's score is shown first in each case.
Notes
Record by opponent
References
Chile national football team results
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https://en.wikipedia.org/wiki/Rajat%20Subhra%20Hazra
|
Dr. Rajat Subhra Hazra is an Indian mathematician specialising in probability theory. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology, the highest science award in India, for the year 2020 in mathematical science category. He is affiliated to the Mathematical Institute of Leiden University, the Netherlands from 2021. Prior to that he was affiliated to Indian Statistical Institute, Kolkata. Dr. Hazra has a very broad range of research interests including extreme value theory, regular variation, random matrices, free probability, Gaussian free fields, branching random walks, membrane models, random graphs, etc.
He is well known for his out of the box analysis of day to day events. A recent example came into limelight when he asked an exam question with Covfefe, a word that featured in US President Donald Trump’s tweet for random sequence of letters.
He is an elected Fellow of Indian Academy of Sciences.
Selected bibliography
Articles
References
External links
Living people
Year of birth missing (living people)
21st-century Indian mathematicians
Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science
Scientists from Kolkata
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https://en.wikipedia.org/wiki/Ilya%20Kapovich
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Ilya Kapovich is a Russian-American mathematician and a Professor of Mathematics at the Hunter College of the City University of New York. He is known for his contributions to geometric group theory, geometric topology, and complexity theory.
Career
He received his Doctor of Philosophy from the Graduate Center of the City University of New York in 1996 under the direction of Gilbert Baumslag. After postdoc positions at Rutgers University and Hebrew University, he worked at the University of Illinois Urbana-Champaign from 2000 to 2018. While at Illinois, he has had several visiting positions. Most notably, he was an Alexander von Humboldt Foundation research fellow at Frankfurt University during Spring 2006, and Ada Peluso Visiting Professor at Hunter College during Spring 2017.
Recognition
In 2012, he was named an inaugural fellow of the American Mathematical Society. He delivered an invited address at 2008 Spring Eastern Sectional meeting of the AMS.
Contributions
He has worked on problems related to automorphisms of free groups, free-by-cyclic groups, mapping class groups as well as complexity and decision problems in group theory. He has supervised 9 PhD students to completion as of 2022.
Between 2010 and 2015, he served on the editorial board of the LMS Journal of Mathematics and Computation.
His older brother Michael Kapovich is a professor of mathematics at the University of California, Davis, and his twin brother Vitali Kapovitch is a professor of mathematics at the University of Toronto.
Selected publications
References
External links
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
20th-century Russian mathematicians
21st-century Russian mathematicians
CUNY Graduate Center alumni
University of Illinois Urbana-Champaign faculty
Group theorists
Fellows of the American Mathematical Society
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https://en.wikipedia.org/wiki/Possession%20value
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In football, possession value (PV) is a performance metric used to predict the probability of any possession resulting in a goal.
References
Sports terminology
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https://en.wikipedia.org/wiki/Diego%20Schwartzman%20career%20statistics
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This is a list of the main career statistics of Argentinian professional tennis player Diego Schwartzman. All statistics are according to the ATP Tour and ITF.
Performance timelines
Singles
Current through the 2023 Italian Open.
Doubles
Significant finals
Masters tournaments
Singles: 1 (1 runner-up)
Doubles: 2 (2 runner-ups)
ATP career finals
Singles: 14 (4 titles, 10 runner-ups)
Doubles: 5 (5 runner-ups)
ATP Challenger and ITF Futures finals
Singles: 37 (16–21)
Doubles: 22 (16–6)
Record against other players
Record against top-10 players
Schwartzman's match record against players who have been ranked in the Top 10, with those who are active in boldface.
Only ATP Tour (incl. Grand Slams) main draw, Davis Cup and Laver Cup matches are considered.
{|class="wikitable nowrap" style=text-align:center;font-size:96%
!Player
!width=30|
!width=30|
!width=30|Won
!width=30|Lost
!Win%
!Last Match
!width=40|Hard
!width=40|Clay
!width=40|Grass
|-
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 1 ranked players
|-
||1–0||–||–
|-
||0–6||1–5||–
|-
||-||0–1||–
|-
||0–2||0–2||–
|-
||0–5||–||0–1
|-
||0–4||0–3||–
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 2 ranked players
|-
||3–1||2–2||–
||1–4||1–0||–
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 3 ranked players
|-
||2–0||–||–
||1–1||0–1||1–0
||0–1||2–1||0–1
||1–3||2–3||–
||2–3||0–2||–
||0–1||–||–
||0–1||–||–
||0–2||–||–
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 4 ranked players
|-
||1–1||1–2||–
||0–1||–||–
||0–1||–||–
||0–1||0–2||–
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 5 ranked players
|-
||3–0||0–1||–
||1–1||1–1||–
||0–3||1–0||–
||–||0–1||–
||0–1||–||–
|-bgcolor=efefef class="sort bottom"
|align=left colspan=10|Number 6 ranked players
|-
||2–0||–||–
||1–0||1–1||–
||2–1||1–1||–
||–||1–0||0–1
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 7 ranked players
|-
||2–0||2–0||–
||1–5||1–0||–
||1–2||0–2||–
|-bgcolor=efefef class="sort bottom"
|align=left colspan=10|Number 8 ranked players
|-
||–||1–0||–
||1–0||–||–
||2–2||1–0||–
||1–1||–||–
||1–3||–||–
||0–2||–||–
||0–1||0–1||–
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 9 ranked players
|-
||2–0||0–1||–
||0–2||1–0||–
||0–2||1–0||-
|-bgcolor=efefef class="sortbottom"
|align=left colspan=10|Number 10 ranked players
|-
||1–0||–||–
||1–0||–||–
||–||1–0||–
||1–2||1–0||–
||1–1||0–3||–
|-bgcolor=efefef class="sortbottom"
Record against No. 11–20 players
Active players are in boldface.
Albert Ramos Viñolas 5–2
Bernard Tomic 3–0
Marco Cecchinato 3–1
Benoît Paire 3–1
Pablo Cuevas 3–3
Sam Querrey 3–3
Alexandr Dolgopolov 2–1
Feliciano López 2–1
Lorenzo Musetti 2–1
Borna Ćorić 2–2
Kyle Edmund 2–2
Cristian Garín 2–2
Guido Pella 2–2
Nikoloz Basilashvili 1–0
Jerzy Janowicz 1–0
Viktor Troicki 1–0
Aslan Karatsev 1–2
Philipp Kohlschreiber
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https://en.wikipedia.org/wiki/Ahmed%20Bassas
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Ahmed Bassas (; born 22 March 2001), is a Saudi Arabian professional footballer who plays as a midfielder for Saudi Professional League side Al-Ahli.
Career statistics
Club
Notes
References
External links
2001 births
Living people
Saudi Arabian men's footballers
Saudi Arabia men's youth international footballers
Men's association football fullbacks
Saudi Pro League players
Al-Ahli Saudi FC players
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https://en.wikipedia.org/wiki/Tennis%20Masters%20Series%20doubles%20records%20and%20statistics
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In tennis, the ATP Masters is an annual series of nine top-level tennis tournaments featuring the elite men's tennis players on the ATP Tour. The tournaments are important for the top players on the professional circuit as the series constituted the most prestigious tournaments in men's tennis after the four Grand Slam events. The Masters series along with the Grand Slam tournaments, the ATP Finals championship and the Olympic Games are considered the top-tier events of men's tennis, referred to by the ATP as the "Big Titles".
Twelve tournaments have been held as Masters events so far. They were played on three different surfaces: hard outdoors: Indian Wells, Miami, Canada, Cincinnati and Shanghai; indoors: Stockholm (1991–94), Stuttgart (1998–2001), Madrid (2002–08) and Paris; clay: Hamburg (1990–2008), Monte Carlo, Madrid and Rome; carpet indoors: Stockholm (1990) and Stuttgart (1995–97).
Title leaders
Players with 6+ titles. Active players and tournament records indicated in bold.
167 champions in 297 events as of 2023 Shanghai Masters.
Masters' time slots indicated with 1st–9th column names.
Career Golden Masters
The achievement of winning all of the nine active ATP Masters tournaments over the course of a player's career.
Career totals
Active players denoted in bold.
Season records
Consecutive records
Tournament records
Most titles per tournament
Tournaments won with no sets dropped
Calendar Masters combinations
Triples
Doubles
Title defence
Note: Currently active tournaments in bold.
Statistics
Seeds statistics
No. 1 vs. No. 2 seeds in final
Top 4 seeds in semifinals
Top 8 seeds in quarterfinals
Qualifiers in final
All countrymen in final
See also
ATP Tour
ATP Tour Masters 1000
Tennis Masters Series singles records and statistics
Grand Prix Super Series
WTA Tour
WTA 1000
WTA 1000 Series singles records and statistics
WTA 1000 Series doubles records and statistics
WTA Premier Mandatory and Premier 5
WTA Tier I tournaments
References
Masters
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https://en.wikipedia.org/wiki/Nischal%20Narayanam
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Nischal Narayanam is an Indian child prodigy and India's youngest chartered accountant.
He completed his post-graduation in mathematics & commerce at the age of 19 from Osmania University, Hyderabad.
He is the Youngest Double Guinness World Record holder (in the field of Memory) at the age of 13. At the age of 12 he become a World Memory Champion. He is among the recipient of “National Child Award”, Gold medal (President Award, the highest honour given by the Government of India for children under 15 years of age).
Early life
Born to N.Nageswara Rao (Industrialist) and Dr.N.Padmavathy (Academician), Nischal had a passion in the field of Mathematics and Commerce from an early age. Narayanam completed his early Academic VIII, IX, X, XI and XII (IGCSE, AS and A levels) all in 'One Academic Year' from the Cambridge University, London.
At the age of 16, Nischal got his bachelor's degree in Commerce and earned the distinction of 'Youngest Graduate' from 'Osmania University', Hyderabad.
Nischal completed his CA Final Examinations at the age of 19, attained his master's degree in Mathematics and Statistics and also master's degree in commerce. This made him 'India's Youngest Chartered Accountant' and 'Youngest Double Post-Graduate' in the 85 years history of 'Osmania University', Hyderabad.
Business
At the age of 15, Nischal Narayanam started a company Nischal's Smart Learning Solutions Pvt. Ltd.
Awards and achievements
2006: First Guinness World Record for memorizing 225 random objects in a span of just 12.07 minutes
2007: Wins World Memory Championship (Gold Medal in the Kids Category) for the year 2007
2008: National Child Award Gold Medal
2009: Second Guinness World Record in the category of ‘Longest Sequence of Numbers Memorised in 10 Minute'
References
Living people
1995 births
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https://en.wikipedia.org/wiki/Hidehiro%20Sugai
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is a Japanese footballer who plays as a left-back for club Kashima Antlers.
Career statistics
Club
.
Honours
Club
Ventforet Kofu
Emperor's Cup: 2022
References
External links
1998 births
Living people
Japanese men's footballers
Meiji University alumni
Men's association football defenders
J2 League players
Ventforet Kofu players
Kashima Antlers players
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https://en.wikipedia.org/wiki/Go%20Kambayashi
|
is a Japanese footballer currently studying at the Meiji University
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Meiji University alumni
Japanese men's footballers
Men's association football goalkeepers
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
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https://en.wikipedia.org/wiki/Luka%20Lakvekheliani
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Luka Lakvekheliani (born 20 October 1998) is a Georgian professional footballer who plays as a left-back for Erovnuli Liga club Dinamo Tbilisi.
Career statistics
.
References
1998 births
Footballers from Tbilisi
Living people
Men's footballers from Georgia (country)
Georgia (country) men's youth international footballers
Georgia (country) men's under-21 international footballers
Men's association football defenders
FC Saburtalo Tbilisi players
Mezőkövesdi SE footballers
FC Dinamo Tbilisi players
Erovnuli Liga players
Nemzeti Bajnokság I players
Expatriate men's footballers in Hungary
Expatriate men's footballers from Georgia (country)
Expatriate sportspeople from Georgia (country) in Hungary
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https://en.wikipedia.org/wiki/Miquel%20configuration
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In geometry, the Miquel configuration is a configuration of eight points and six circles in the Euclidean plane, with four points per circle and three circles through each point.
Its Levi graph is the Rhombic dodecahedral graph, the skeleton of both Rhombic dodecahedron and Bilinski dodecahedron. The configuration is related to Miquel's theorem.
References
Configurations (geometry)
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https://en.wikipedia.org/wiki/Juan%20Sebasti%C3%A1n%20Herrera
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Juan Sebastián Herrera Sanabria (born 4 September 1994) is a Colombian professional footballer who plays as a forward for USL Championship side Sacramento Republic.
Career statistics
Club
References
External links
Profile at the Copa Libertadores website
1994 births
Living people
Sportspeople from Bucaramanga
Colombian men's footballers
Men's association football forwards
Alianza Petrolera F.C. players
Barranquilla F.C. footballers
Atlético Junior footballers
Jaguares de Córdoba footballers
Atlético Huila footballers
Cortuluá footballers
C.S.D. Macará footballers
Categoría Primera B players
Categoría Primera A players
Ecuadorian Serie A players
Colombian expatriate men's footballers
Expatriate men's footballers in Ecuador
Sacramento Republic FC players
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https://en.wikipedia.org/wiki/Fredy%20Valencia
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Fredy Alexander Valencia Ramos (born 16 August 2001) is a Colombian footballer who plays as a midfielder for Categoría Primera B club Deportes Quindío.
Career statistics
Club
Notes
References
2001 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football midfielders
Categoría Primera B players
2. Liga (Austria) players
Boca Juniors de Cali footballers
LASK players
FC Juniors OÖ players
Colombian expatriate sportspeople in Austria
Expatriate men's footballers in Austria
Footballers from Antioquia Department
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https://en.wikipedia.org/wiki/Abdulqader%20Zoukh
|
Abdulqader Zoukh (; born 24 January 2002), is an Algerian professional footballer who plays as a defender for Mesaimeer.
Career statistics
Club
References
External links
2002 births
Living people
Qatari men's footballers
Men's association football defenders
Al-Wakrah SC players
Lusail SC players
Mesaimeer SC players
Qatar Stars League players
Qatari Second Division players
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https://en.wikipedia.org/wiki/Zed%20Saad
|
Zed Saad Aboulos (; born 24 May 1997), is a Qatari professional footballer who plays as a midfielder for Qatar Stars League side Al-Shamal.
Career statistics
Club
References
External links
1997 births
Living people
Qatari men's footballers
Men's association football midfielders
Al-Arabi SC (Qatar) players
Al-Wakrah SC players
Al-Shamal SC players
Qatar Stars League players
|
https://en.wikipedia.org/wiki/Ot%C3%A1vio%20%28footballer%2C%20born%202002%29
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Otávio Ataide da Silva (born 21 April 2002) is a Brazilian footballer who plays as a defender for Primeira Liga club Famalicão.
Career statistics
Club
Honours
Club
Flamengo
Campeonato Brasileiro Série A: 2020
Campeonato Carioca: 2021
References
2002 births
Living people
Brazilian men's footballers
Men's association football defenders
Sport Club Internacional players
CR Flamengo footballers
Sampaio Corrêa Futebol Clube players
F.C. Famalicão players
Expatriate men's footballers in Portugal
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Primeira Liga players
Brazilian expatriate men's footballers
Brazilian expatriates in Portugal
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https://en.wikipedia.org/wiki/Jeremi%20Escate
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Jeremi Aldair Escate Gallegos (born 4 March 2002) is a Peruvian footballer who plays as a midfielder for Alianza Lima.
Career statistics
Club
Notes
References
2002 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football midfielders
Club Alianza Lima footballers
Footballers from Lima
|
https://en.wikipedia.org/wiki/Sebasti%C3%A1n%20Cavero
|
Sebastián José Cavero Nakahoro (born 20 June 2002) is a Peruvian footballer who plays as a forward for FBC Melgar.
Career statistics
Club
Notes
References
2002 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football forwards
Club Alianza Lima footballers
Footballers from Lima
|
https://en.wikipedia.org/wiki/Carlos%20Montoya%20%28footballer%29
|
Carlos Joao Montoya García (born 4 May 2002) is a Peruvian footballer who plays as a defender for Alianza Lima.
Career statistics
Club
Notes
References
2002 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football defenders
Sporting Cristal footballers
Academia Deportiva Cantolao players
Club Alianza Lima footballers
Footballers from Lima
|
https://en.wikipedia.org/wiki/Walter%20Tandazo
|
Walter Angello Tandazo Silva (born 14 June 2000) is a Peruvian footballer who plays as a midfielder for FBC Melgar.
Career statistics
Club
Notes
References
2000 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football midfielders
Club Alianza Lima footballers
FBC Melgar footballers
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https://en.wikipedia.org/wiki/Carlos%20Ruiz%20%28Peruvian%20footballer%29
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Carlos Alberto Ruiz Gutiérrez (born 25 January 2002) is a Peruvian footballer who plays as a forward for UTC, on loan from Sporting Cristal.
Career statistics
Club
Notes
References
2002 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football forwards
Sporting Cristal footballers
Universidad Técnica de Cajamarca footballers
People from Iquitos
|
https://en.wikipedia.org/wiki/Math%C3%ADas%20Llontop
|
Mathías Daniel Llontop Díaz (born 22 May 2002) is a Peruvian footballer who plays as a left back for USMP.
Career statistics
Club
Notes
References
2002 births
Living people
Peruvian men's footballers
Peru men's youth international footballers
Men's association football defenders
Footballers from Lima
|
https://en.wikipedia.org/wiki/Mohamed%20Karamoko
|
Mohamed Karamoko (born 25 January 2002) is an Ivorian footballer who plays as a forward for Sertanense.
Career statistics
Club
Notes
References
2002 births
Living people
Ivorian men's footballers
Men's association football forwards
Peruvian Primera División players
Campeonato de Portugal (league) players
Club Deportivo Universidad de San Martín de Porres players
Sertanense F.C. players
Ivorian expatriate men's footballers
Expatriate men's footballers in Peru
Ivorian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
|
https://en.wikipedia.org/wiki/Leximin%20order
|
In mathematics, leximin order is a total preorder on finite-dimensional vectors. A more accurate, but less common term is leximin preorder. The leximin order is particularly important in social choice theory and fair division.
Definition
A vector x = (x1, ..., xn) is leximin-larger than a vector y = (y1, ..., yn) if one of the following holds:
The smallest element of x is larger than the smallest element of y;
The smallest elements of both vectors are equal, and the second-smallest element of x is larger than the second-smallest element of y;
...
The k smallest elements of both vectors are equal, and the (k+1)-smallest element of x is larger than the (k+1)-smallest element of y.
Examples
The vector (3,5,3) is leximin-larger than (4,2,4), since the smallest element in the former is 3 and in the latter is 2. The vector (4,2,4) is leximin-larger than (5,3,2), since the smallest elements in both are 2, but the second-smallest element in the former is 4 and in the latter is 3.
Vectors with the same multiset of elements are equivalent w.r.t. the leximin preorder, since they have the same smallest element, the same second-smallest element, etc. For example, the vectors (4,2,4) and (2,4,4) are leximin-equivalent (but both are leximin-larger than (2,4,2)).
Related order relations
In the lexicographic order, the first comparison is between x1 and y1, regardless of whether they are smallest in their vectors. The second comparison is between x2 and y2, and so on.
For example, the vector (3,5,3) is lexicographically smaller than (4,2,4), since the first element in the former is 3 and in the latter it is 4. Similarly, (4,2,4) is lexicographically larger than (2,4,4).
The following algorithm can be used to compute whether x is leximin-larger than y:
Let x' be a vector containing the same elements of x but in ascending order;
Let y' be a vector containing the same elements of y but in ascending order;
Return "true" iff x' is lexicographically-larger than y'.
The leximax order is similar to the leximin order except that the first comparison is between the largest elements; the second comparison is between the second-largest elements; and so on.
Applications
In social choice
In social choice theory, particularly in fair division, the leximin order is one of the orders used to choose between alternatives. In a typical social choice problem, society has to choose among several alternatives (for example: several ways to allocate a set of resources). Each alternative induces a utility profile - a vector in which element i is the utility of agent i in the allocation. An alternative is called leximin-optimal if its utility-profile is (weakly) leximin-larger than the utility profile of all other alternatives.
For example, suppose there are three alternatives: x gives a utility of 2 to Alice and 4 to George; y gives a utility of 9 to Alice and 1 to George; and z gives a utility of 1 to Alice and 8 to George. Then alternative x is leximin-optimal,
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https://en.wikipedia.org/wiki/Cl%C3%A9ber%20Santana%20%28footballer%2C%20born%201990%29
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Cléber Machado Santana (born 26 May 1990) is a Brazilian footballer who currently plays as a goalkeeper for Amora.
Career statistics
Club
Notes
References
1990 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Brasiliense FC players
Sociedade Esportiva do Gama players
Sertanense F.C. players
A.C. Alcanenense players
S.C.U. Torreense players
S.C. Olhanense players
Académico de Viseu F.C. players
Amora F.C. players
C.D. Cova da Piedade players
Liga Portugal 2 players
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Men's association football goalkeepers
Footballers from Salvador, Bahia
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https://en.wikipedia.org/wiki/Kovner%E2%80%93Besicovitch%20measure
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In plane geometry the Kovner–Besicovitch measure is a number defined for any bounded convex set describing how close to being centrally symmetric it is. It is the fraction of the area of the set that can be covered by its largest centrally symmetric subset.
Properties
This measure is one for a set that is centrally symmetric, and less than one for sets whose closure is not centrally symmetric. It is invariant under affine transformations of the plane. If is the center of symmetry of the largest centrally-symmetric set within a given convex body , then the centrally-symmetric set itself is the intersection of with its reflection across .
Minimizers
The convex sets with the smallest possible Kovner–Besicovitch measure are the triangles, for which the measure is 2/3. The result that triangles are the minimizers of this measure is known as Kovner's theorem or the Kovner–Besicovitch theorem, and the inequality bounding the measure above 2/3 for all convex sets is the Kovner–Besicovitch inequality. The curve of constant width with the smallest possible Kovner–Besicovitch measure is the Reuleaux triangle.
Computational complexity
The Kovner–Besicovitch measure of any given convex polygon with vertices can be found in time by determining a translation of the reflection of the polygon that has the largest possible overlap with the unreflected polygon.
History
Branko Grünbaum writes that the Kovner–Besicovitch theorem was first published in Russian, in a 1935 textbook on the calculus of variations by Mikhail Lavrentyev and Lazar Lyusternik, where it was credited to Soviet mathematician and geophysicist . Additional proofs were given by Abram Samoilovitch Besicovitch and by István Fáry, who also proved that every minimizer of the Kovner–Besicovitch measure is a triangle.
See also
Estermann measure, a measure of central symmetry defined using supersets in place of subsets
References
External links
A Measure of Central Symmetry, Tanya Khovanova's Math Blog, September 2, 2012
Euclidean symmetries
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