source
stringlengths 31
168
| text
stringlengths 51
3k
|
---|---|
https://en.wikipedia.org/wiki/Joseph%20Liesganig
|
Joseph Xaver Liesganig (13 February 1719 – 4 March 1799) was a Jesuit priest and geodesist who was a professor of mathematics at the University of Vienna. He taught mathematics from 1742 at the University of Graz. He was involved in measuring the extent of Austria, establishing the longitude of Vienna and in early trigonometrical mapping of the region. He was the last of the Jesuit astronomers at the Vienna observatory.
Life and work
Liesganig was born to Wolfgang, Hofmeister of Graz, and Rosalie. He went to study at the Jesuit College in Vienna from 1734 and was ordained in the Society of Jesus in 1749. He taught mathematics from 1742 at the University of Graz. In 1751 he received a doctorate from the Academy in Kosice and joined an expedition into the Tatra mountains. The next year, he became a professor the next year at the University of Vienna, while also serving at the astronomical observatory of the Jesuit College at Vienna. He succeeded Maximilian Hell in 1756 as director of the observatory. Liesganig took a keen interest on question of the exact shape of the earth, which was of great interest in the period. In 1757, on the instance of Ruđer Bošković, he had a zenith sector of 10 (Viennese) foot radius as well as a quadrant with two-and-half foot radius constructed by the mechanic Joseph Ramspoeck. He obtained a Graham clock with a gridiron compensation pendulum. With this equipment in place, in 1758, he established the longitude of Vienna as 48°12′34.5″. After this he was involved in 1762 in measuring a base line near Neustadt (6238 toises long, 12158 metres) and another in Marchfield (6388 toises). An arc of about 3° was measured near Vienna. He used a star reference for some of his trigonometrical work, however he made an error because not all stations used the same star as a reference, leading to errors. In 1769 he proposed the measurement of another meridian arc in Hungary, writing to Empress Maria Theresa for her support. An arc of 2° was measured between Kistelek and Csurog and he triangulated in the area to produce one of the early accurate maps of the region. Other collaborators included Karl Scherflers (1716-1783), Georg Ignaz Metzburg (1735-1798) His Vienna triangulation was re-examined in 1806 and it was found to be in error only by about 7mm per kilometre. His book Dimensio Graduum Meridiani Viennensis et Hungarici (1770) described his cartographic work. In 1772, parts of the Russian Empire went into Austria and Liesganig was ordered to map the new territory of Galicia and Lodomeria (Volyhnia). He was assisted by Franz Xavier von Zach (1754–1832) and he moved his instruments from Vienna to the observatory at Lviv where he then worked until his death.
References
External links
Dimensio graduum meridiani Viennensis et Hungarici (1770)
1719 births
1799 deaths
Austrian astronomers
|
https://en.wikipedia.org/wiki/2016%E2%80%9317%20FC%20Desna%20Chernihiv%20season
|
The 2016–17 season the club competed in the Ukrainian First League and Ukrainian Cup.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Forwards
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Players transferred out during the season
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Yu%20Hirakawa
|
is a Japanese footballer currently playing as a forward for Machida Zelvia as a designated special player.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Association football people from Saga Prefecture
Yamanashi Gakuin University alumni
Japanese men's footballers
Men's association football forwards
J2 League players
FC Machida Zelvia players
|
https://en.wikipedia.org/wiki/Taku%20Inafuku
|
is a Japanese footballer currently playing as a midfielder for Matsumoto Yamaga.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Association football people from Nagano Prefecture
Japanese men's footballers
Men's association football midfielders
J2 League players
Matsumoto Yamaga FC players
|
https://en.wikipedia.org/wiki/Curvature%20of%20Space%20and%20Time%2C%20with%20an%20Introduction%20to%20Geometric%20Analysis
|
Curvature of Space and Time, with an Introduction to Geometric Analysis is an undergraduate-level textbook for mathematics and physics students on differential geometry, focusing on applications to general relativity. It was written by Iva Stavrov, based on a course she taught at the 2013 Park City Mathematics Institute and subsequently at Lewis & Clark College, and was published in 2020 by the American Mathematical Society, as part of their Student Mathematical Library book series.
Topics
Curvature of Space and Time is arranged into five chapters with 14 sections in total, with each section covering a single lecture's worth of material. Its topics are covered both mathematically and historically, with reference to the original source material of Bernhard Riemann and others. However, it deliberately avoids some topics from differential topology that have traditionally been covered in differential geometry courses, including abstract manifolds and tangent vectors. Instead, it approaches the subject through coordinate-based geometry, emphasizing quantities that are invariant under changes of coordinates. Its goals include both providing a shortened path for students to reach an understanding of Einstein's mathematics, and promoting curvature as a central way of describing shape and geometry.
The first chapter defines Riemannian manifolds as embedded subsets of Euclidean spaces rather than as abstract spaces. It uses Christoffel symbols to formulate differential equations having the geodesics as their solutions, and descrobes the Koszul formula and energy functional Examples include the Euclidean metric, spherical geometry, projective geometry, and the Poincaré half-plane model of the hyperbolic plane. Chapter 2 includes vector fields, gradients, divergence, directional derivatives, tensor calculus, Lie brackets, Green's identities, the maximum principle, and the Levi-Civita connection. It begins a discussion of curvature and the Riemann curvature tensor that is continued into Chapter 3, "the heart of the book", whose topics include Jacobi fields, Ricci curvature, scalar curvature, Myers's theorem, the Bishop–Gromov inequality, and parallel transport.
After these mathematical preliminaries, the final two chapters are more physical, with the fourth chapter concerning special relativity, general relativity, the Schwarzschild metric, and Kruskal–Szekeres coordinates. Topics in the final chapter include geometric analysis, Poisson's equation for the potential fields of charge distributions, and mass in general relativity.
Audience and reception
As is usual for a textbook, Curvature of Space and Time has exercises that extend the coverage of its topics and make it suitable as the text for undergraduate courses.
Although there are multiple undergraduate-level textbooks on differential geometry, they have generally taken an abstract mathematical view of the subject, and at the time of publishing of Curvature of Space and Time, courses based on this ma
|
https://en.wikipedia.org/wiki/Paraguay%20national%20football%20team%20results%20%281960%E2%80%931979%29
|
This page details the match results and statistics of the Paraguay national football team from 1960 to 1979.
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
Paraguay's score is shown first in each case.
Notes
Record by opponent
References
Paraguay national football team results
|
https://en.wikipedia.org/wiki/Ivo%20V%C3%A1zquez
|
Ivo Saúl Vázquez Serrano (born 16 October 2000) is a Mexican professional footballer who plays as a left-back for Liga de Expansión MX club Atlético La Paz.
Career statistics
Club
References
External links
Living people
2000 births
Men's association football defenders
Club Puebla players
Liga MX players
Footballers from the State of Mexico
Sportspeople from Toluca
Mexican men's footballers
|
https://en.wikipedia.org/wiki/2015%E2%80%9316%20FC%20Desna%20Chernihiv%20season
|
For the 2015–16 season the club competed in the Ukrainian First League and the Ukrainian Cup.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Forwards
|-
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/2014%E2%80%9315%20FC%20Desna%20Chernihiv%20season
|
For the 2014–15 season, FC Desna Chernihiv competed in the Ukrainian First League.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Forwards
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Players transferred out during the season
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Luis%20Gustavo%20S%C3%A1nchez
|
Luis Gustavo Sánchez Saucedo (born 3 May 2000) is a Mexican professional footballer who plays as a centre-back for Liga MX club Monterrey.
Career statistics
Club
Honours
Monterrey
CONCACAF Champions League: 2021
References
External links
Living people
2000 births
Mexican men's footballers
Men's association football defenders
C.F. Monterrey players
Liga de Expansión MX players
Liga MX players
Footballers from Veracruz
People from Tantoyuca
Raya2 Expansión players
|
https://en.wikipedia.org/wiki/Sergio%20Villarreal%20Lozano
|
Sergio Villarreal Lozano (born 10 January 2000) is a Mexican professional footballer who plays as a right-back for Liga de Expansión MX club Raya2, on loan from Monterrey.
Career statistics
Club
References
External links
Living people
2000 births
Men's association football defenders
C.F. Monterrey players
Liga de Expansión MX players
Liga MX players
Mexico men's youth international footballers
Footballers from Nuevo León
Footballers from Monterrey
Raya2 Expansión players
Mexican men's footballers
|
https://en.wikipedia.org/wiki/2013%E2%80%9314%20FC%20Desna%20Chernihiv%20season
|
For the 2013–14 season, FC Desna Chernihiv competed in the Ukrainian First League.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/2012%E2%80%9313%20FC%20Desna%20Chernihiv%20season
|
For the 2012–13 season, the club competed in the Ukrainian Second League.
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Feliciano%20L%C3%B3pez%20career%20statistics
|
This is a list of the main career statistics of professional Spanish tennis player Feliciano López.
Performance timelines
Singles
Doubles
+ Only participate in the 2004 Davis Cup First round.
1 Including appearances in Grand Slam, ATP Tour main draw matches, and Summer Olympics.
2 Including matches in Grand Slam, ATP Tour events, Summer Olympics, Davis Cup, World Team Cup and ATP Cup.
* not held due to COVID-19 pandemic.
Grand Slam finals
Doubles: 2 (1 title, 1 runner-up)
Masters 1000 finals
Doubles: 2 (2 runner-ups)
Olympic medal matches
Doubles: 1 (1 fourth place)
ATP career finals
Singles: 18 (7 titles, 11 runner-ups)
Doubles: 17 (6 titles, 11 runners-up)
ATP Challenger and ITF Futures finals
Singles: 7 (4–3)
Doubles: 5 (1–4)
Junior Grand Slam finals
Doubles: 1 (1 runner-up)
Record against top 10 players
López's match record against those who have been ranked in the top 10, with those who have been No. 1 in boldface
Tomáš Berdych 9–6
Rainer Schüttler 8–1
David Ferrer 8–11
Gilles Simon 6–3
Janko Tipsarević 5–1
Juan Mónaco 5–3
Milos Raonic 5–3
Mikhail Youzhny 5–3
Fernando Verdasco 5–6
Nikolay Davydenko 4–2
Ivan Ljubičić 4–2
Marat Safin 4–2
Robin Söderling 4–4
Mardy Fish 4–5
Rafael Nadal 4–10
Àlex Corretja 3–1
Juan Carlos Ferrero 3–1
Fabio Fognini 3–1
Paradorn Srichaphan 3–1
Kei Nishikori 3–4
Marin Čilić 3–5
Juan Martín del Potro 3–5
John Isner 3–5
Stanislas Wawrinka 3–5
Radek Štěpánek 3–8
Taylor Fritz 2–0
Félix Mantilla 2–0
Gaël Monfils 2–0
Guillermo Cañas 2–1
Tim Henman 2–1
James Blake 2–2
Gastón Gaudio 2–2
Jiří Novák 2–2
Jack Sock 2–2
Roberto Bautista Agut 2–3
Grigor Dimitrov 2–4
Lleyton Hewitt 2–4
Jürgen Melzer 2–5
Félix Auger-Aliassime 1–0
Nicolás Lapentti 1–0
Nicolás Almagro 1–1
Pablo Carreno Busta 1–1
Daniil Medvedev 1–1
Carlos Moyá 1–1
Cameron Norrie 1–1
Mark Philippoussis 1–1
Andrey Rublev 1–1
Frances Tiafoe 1–1
Andre Agassi 1–2
Karol Kučera 1–2
Nicolás Massú 1–2
Diego Schwartzman 1–2
Mario Ančić 1–3
Arnaud Clément 1–3
Fernando González 1–3
Karen Khachanov 1–3
Dominic Thiem 1–3
Marcos Baghdatis 1–4
David Goffin 1–4
Ernests Gulbis 1–4
Lucas Pouille 1–5
Guillermo Coria 1–6
Richard Gasquet 1–7
Andy Roddick 1–7
Novak Djokovic 1–9
Carlos Alcaraz 0–1
Matteo Berrettini 0–1
Yevgeny Kafelnikov 0–1
Gustavo Kuerten 0–1
Todd Martin 0–1
Alexander Zverev 0–1
Frances Tiafoe 0-1
Jonas Björkman 0–2
Wayne Ferreira 0–2
Hubert Hurkacz 0–2
Joachim Johansson 0–2
Nicolas Kiefer 0–2
David Nalbandian 0–2
Denis Shapovalov 0–2
Thomas Johansson 0–3
Tommy Haas 0–3
Sébastien Grosjean 0–4
Kevin Anderson 0–5
Tommy Robredo 0–5
Jo-Wilfried Tsonga 0–6
Andy Murray 0–11
Roger Federer 0–13
* Statistics correct .
Top 10 wins
López has a record against players who were, at the time the match was played, ranked in the top 10.
* Statistics correct .
ATP Tour career earnings
* Statis
|
https://en.wikipedia.org/wiki/2011%E2%80%9312%20FC%20Desna%20Chernihiv%20season
|
For the 2011–12 season, FC Desna Chernihiv competed in the Ukrainian Second League.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Michael%20Plank
|
Michael John Plank (born 1979) is an English-born professor in mathematics and statistics at the University of Canterbury, and a principal investigator at Te Pūnaha Matatini. Plank's research has focused on mechanistic mathematical and stochastic models and areas of expertise include ecological and social networks, population dynamics, epidemiological models and marine ecosystems. His work has included developing and applying models to the balanced managing of fishing sites, revitalisation of endangered languages and invasive plant and weed impact. As a Co-Lead for Covid-19 Modelling Aotearoa, a research programme established initially under Te Pūnaha Matatini but independent since 2021, he came to prominence as a COVID-19 modeller and frequent commentator in the media during the COVID-19 pandemic in New Zealand. Plank has received several awards in recognition of contributions to the field of applied mathematics, particularly for his explanations of how mathematical modelling can benefit social and ecological environments and concerns.
Early life and education
Plank grew up in Hathersage, an English village in the Peak District. His interest for mathematics developed when he was at primary school. Plank received a Bachelor of Science with honours from the University of Bristol in 2000, and, three years later, a PhD in applied mathematics from the University of Leeds. The title of his thesis was Cell-based models of tumour angiogenesis, with Brian Sleeman as his supervisor.
Career
Plank took a post-doctoral fellowship at the University of Canterbury at the beginning of 2004, attracted to New Zealand by his love of mountains and tramping. He liked the country's lifestyle and secured a position as a lecturer at the same university beginning in the 2006 academic year, rising to the rank of full professor. He is also a principal investigator at Te Pūnaha Matatini, and since 2021, a Co-Lead for Covid-19 Modelling Aotearoa, an independent research programmed funded by the Ministry of Health (New Zealand).
Commentary on modelling theories
Movement models
Plank has contributed to the debate about the limitations and possibilities for two different movement models: the composite correlated random walk; and the Lévy walk. In 2008, Plank co-authored a review paper that explored the mathematics behind the random walks model used to understand the biological processes of the movement of animals, micro-organisms and cells. The paper noted that some of these basic models had limitations due to confusion in the literature between patterns that were observed and the underlying processes that may have generated them. The paper concluded random walk models allowed the systematic identification of these underlying mechanisms. A further study in the same year presented a composite search model for non-destructive foraging behaviour based on Brownian motion compared to the Lévy walk. While it was shown that distinguishing between the two models might be difficu
|
https://en.wikipedia.org/wiki/2010%E2%80%9311%20FC%20Desna%20Chernihiv%20season
|
For the 2010–11 season, FC Desna Chernihiv competed in the Ukrainian Second League.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Keminth%20Kubo
|
Keminth Kubo (, born 21 May 1999) is a Thai motorcycle racer. He previously competed in the FIM CEV Moto2 European Championship from 2019 to 2021 with the same team.
Career statistics
FIM Moto2 European Championship
Races by year
(key) (Races in bold indicate pole position, races in italics indicate fastest lap)
Grand Prix motorcycle racing
By season
By class
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
Half points awarded as less than two thirds of the race distance (but at least three full laps) was completed.
ARRC Supersports 1000 Championship
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
References
1999 births
Living people
Keminth Kubo
Moto2 World Championship riders
Keminth Kubo
Keminth Kubo
|
https://en.wikipedia.org/wiki/FIFA%20Arab%20Cup%20records%20and%20statistics
|
This is a list of records and statistics of the FIFA Arab Cup.
Debut of national teams
Overall team records
In this ranking 3 points are awarded for a win, 1 for a draw and 0 for a loss. As per statistical convention in football, matches decided in extra time are counted as wins and losses, while matches decided by penalty shoot-outs are counted as draws. Teams are ranked by total points, then by goal difference, then by goals scored.
Notes
Medal table
Jordan and Morocco shared bronze in 2002.
Comprehensive team results by tournament
Legend
– Champions
– Runners-up
– Third place
– Fourth place
– Semi-final (no third place match)
GS – Group stage
Q — Qualified for upcoming tournament
— Did not qualify
— Did not participate
— Hosts
For each tournament, the number of teams in each finals tournament are shown (in parentheses).
Results by confederation
General statistics by tournament
Most tournaments hosted
All tournaments were played in Asia.
References
records and statistics
International association football competition records and statistics
|
https://en.wikipedia.org/wiki/Fumiko%20Futamura
|
Fumiko Futamura is a Japanese-American mathematician known for her work on the mathematics of perspective and perspective drawing. She is a professor of mathematics at Southwestern University in Georgetown, Texas, and Lord Chair in Mathematics and Computer Science at Southwestern.
Education and career
Futamura is originally from Japan, and emigrated with her family to Kentucky when she was five years old. She grew up in an artistic family, and despite a talent for mathematics preferred creating art in various mediums. She entered the University of Louisville intending to study art there, but switched to mathematics after taking linear algebra in her sophomore year, discovering the beauty in mathematical proofs, and becoming convinced by faculty mentor Steven Seif that mathematics could be viewed as a form of art.
She met her future husband, YouTube mathematics tutor Patrick Jones, when they were both mathematics students at the University of Louisville. After Futamura graduated summa cum laude in 2002, with a senior thesis on graphical methods in geometry supervised by Robert Powers, she and Jones both entered graduate study at Vanderbilt University. Jones dropped out of the graduate program to become a full-time mathematics tutor, but Futamura continued, earning a master's degree and completing her Ph.D. in 2007. Her dissertation, Symmetrically Localized Frames, Localized Operators and Their Application to the Construction of Localized Hilbert and Banach Frames, was supervised by Akram Aldroubi, and involved the theory of frames in linear algebra.
In order to continue her work combining mathematics with the creative arts, Futamura decided to teach mathematics at a liberal arts college rather than go into industry or take a research university position. She joined the Southwestern University faculty as an assistant professor in 2007, was tenured as an associate professor in 2013, and became a full professor in 2018. In the same year she became department chair.
Writing and recognition
Futamura won the Carl B. Allendoerfer Award of the Mathematical Association of America in 2018, with Southwestern student Robert Lehr, for their 2017 article "A New Perspective on Finding the Viewpoint".
She is the coauthor of the book Perspective and Projective Geometry, with Annalisa Crannell and Marc Frantz, published by Princeton University Press in 2019.
References
External links
Home page
Year of birth missing (living people)
Living people
Japanese emigrants to the United States
21st-century American mathematicians
American women mathematicians
University of Louisville alumni
Vanderbilt University alumni
Southwestern University faculty
21st-century women mathematicians
|
https://en.wikipedia.org/wiki/2009%E2%80%9310%20FC%20Desna%20Chernihiv%20season
|
For the 2009–10 season, FC Desna Chernihiv competed in the Ukrainian First League.
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/2008%E2%80%9309%20FC%20Desna%20Chernihiv%20season
|
For the 2008–09 season, FC Desna Chernihiv competed in the Ukrainian First League.
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Anastasios%20Tselios
|
Anastasios Tselios (; born 14 October 2002) is a Greek professional footballer who plays as a midfielder for Super League 2 club Olympiacos B.
Career statistics
References
2002 births
Living people
Greek men's footballers
Super League Greece 2 players
Olympiacos F.C. players
Men's association football midfielders
Footballers from Thessaloniki
PAOK FC players
Aris Thessaloniki F.C. players
Olympiacos F.C. B players
|
https://en.wikipedia.org/wiki/2007%E2%80%9308%20FC%20Desna%20Chernihiv%20season
|
For the 2007–08 season, FC Desna Chernihiv competed in the Ukrainian First League.
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/2006%E2%80%9307%20FC%20Desna%20Chernihiv%20season
|
For the 2006–07 season, FC Desna Chernihiv competed in the Ukrainian First League.
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center|Forwards
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/Qian%20Julie%20Wang
|
Qian Julie Wang () is a Chinese-American writer and civil rights lawyer.
Early life
Qian Wang was born in Shijiazhuang, China to academic parents. Wang's mother was a professor of mathematics, while Wang's father was a professor of English and critic of the government, which led to the family being persecuted. Wang's father fled China to the United States when she was five; Wang and her mother followed two years later in 1994. After their temporary visas expired, the Wang family remained in the United States as undocumented immigrants in Brooklyn.
Wang's father enrolled her at P.S. 124 in Chinatown, but few of her classmates and teachers spoke Mandarin Chinese, thus isolating her even within a seemingly familiar community. Unable to speak English or Cantonese, Wang was initially placed in a special-needs classroom, but was returned to mainstream instruction after she was observed teaching herself to read English through picture books. After school, Wang worked alongside her mother in clothing sweatshops and a sushi processing plant.
Wang's early talent for writing was mistaken as plagiarism by an elementary school teacher, prompting her to deliberately hide her abilities throughout much of her primary education. After several years in the US, Wang and her mother emigrated to Canada, in anticipation of better prospects, and her father followed sometime thereafter. Wang returned to the United States to attend Swarthmore College.
Her upbringing in poverty in America is the subject of Wang's breakout memoir Beautiful Country.
Career
After graduating from Swarthmore College with a Bachelor of Arts in English Literature, Wang earned her juris doctor at Yale Law School in 2012. She worked as an associate at Kirkland & Ellis and as an appellate litigator within the New York City Law Department before moving to Robins Kaplan, where she was elected to partnership within two years of joining the firm.
Wang declined Robins Kaplan's offer of partnership and currently serves as managing director/partner of Gottlieb & Wang LLP, a law firm focusing on special needs children and civil rights impact litigation. She decided to start writing her memoir, Beautiful Country, in the wake of the 2016 US election of Donald Trump as president of the United States. She had been a naturalized American citizen for six months by this time.
Wang wrote the book on her phone during her commute to her law offices, finishing a first draft in 2019 and publishing in 2021. She is working on a second book inspired by her experiences as an Asian-American working in corporate law.
Personal life
Wang chose the Anglicised name "Julie" because of Asian-American puppet "Julie Woo" on The Puzzle Place.
Wang converted to Judaism, founding and leading a Jews of Color group at Manhattan Central Synagogue; on the day her debut memoir was released, Wang delivered a lay sermon to the congregation at Rosh Hashanah services. Wang is married. On March 24, 2023, she announced that she
|
https://en.wikipedia.org/wiki/Dedekind%E2%80%93Kummer%20theorem
|
In algebraic number theory, the Dedekind–Kummer theorem describes how a prime ideal in a Dedekind domain factors over the domain's integral closure.
Statement for number fields
Let be a number field such that for and let be the minimal polynomial for over . For any prime not dividing , writewhere are monic irreducible polynomials in . Then factors into prime ideals assuch that .
Statement for Dedekind Domains
The Dedekind-Kummer theorem holds more generally than in the situation of number fields: Let be a Dedekind domain contained in its quotient field , a finite, separable field extension with for a suitable generator and the integral closure of . The above situation is just a special case as one can choose ).
If is a prime ideal coprime to the conductor (i.e. their product is ). Consider the minimal polynomial of . The polynomial has the decomposition with pairwise distinct irreducible polynomials .
The factorization of into prime ideals over is then given by where and the are the polynomials lifted to .
References
Algebraic number theory
|
https://en.wikipedia.org/wiki/Orthologic%20triangles
|
In geometry, two triangles are said to be orthologic if the perpendiculars from the vertices of one of them to the corresponding sides of the other are concurrent (i.e., they intersect at a single point). This is a symmetric property; that is, if the perpendiculars from the vertices of triangle to the sides of triangle are concurrent then the perpendiculars from the vertices of to the sides of are also concurrent. The points of concurrence are known as the orthology centres of the two triangles.
Some pairs of orthologic triangles
The following are some triangles associated with the reference triangle ABC and orthologic with it.
Medial triangle
Anticomplementary triangle
Orthic triangle
The triangle whose vertices are the points of contact of the incircle with the sides of ABC
Tangential triangle
The triangle whose vertices are the points of contacts of the excircles with the respective sides of triangle ABC
The triangle formed by the bisectors of the external angles of triangle ABC
The pedal triangle of any point P in the plane of triangle ABC
References
Triangle geometry
|
https://en.wikipedia.org/wiki/2022%20South%20African%20census
|
The South African National Census of 2022 is the 4th comprehensive census performed by Statistics South Africa (Stats SA). The census results were released on 10 October 2023 and recorded a total of 62 million people in the country.
Key findings
The first reports of statistics, published on 10 October 2023, showed a total population of 62,027,503.
Area:
Population: 62,027,503
Households: 17,828,778
Demographics
81,4% of the population is black African. The median age of the total population is 28 years.
Collection issues
The census taking period was extended in the Western Cape province to 14 May 2022 after it was announced that only 58% of the province's population had participated in it by late April that year; whilst around 80% of the country's whole population had been surveyed by the same date. The deadline was extended a second time in the Western Cape to 31 May as only 78% of the province's population had been counted by the end of the first extension period.
The issue of under-counting in the Western Cape Province was a serious issue of concern for the Western Cape Provincial government as it might result in fewer resources being allocated to the province by national government on a per-capita basis relative to the rest of the country.
Stats SA reported particular difficulty in getting an accurate census count of both white and coloured residents which accounted for the low census participation rate in the Western Cape province. In the Western Cape census workers reported difficulty in contacting households with high walls - thereby preventing many surveys from being conducted - whilst other households refused to participate in the census. Other problems encountered by Stats SA in the province included not being able to hire enough census workers or being able to secure enough vehicles.
After the publication of the census results it was reported that the undercount rate was 31% with the undercount rate being the highest in the Western Cape. The high undercount rate was reported as an issue of concern as it raised questions about the accuracy of the number of white, Indian, foreign-born and homeless people recorded in the census.
See also
South African National Census of 2001
South African National Census of 2011
Demographics of South Africa
References
External links
Statistics Act of 1999
Censuses in South Africa
2022 in South Africa
2022 censuses
|
https://en.wikipedia.org/wiki/Central%20triangle
|
In geometry, a central triangle is a triangle in the plane of the reference triangle. The trilinear coordinates of its vertices relative to the reference triangle are expressible in a certain cyclical way in terms of two functions having the same degree of homogeneity. At least one of the two functions must be a triangle center function. The excentral triangle is an example of a central triangle. The central triangles have been classified into three types based on the properties of the two functions.
Definition
Triangle center function
A triangle center function is a real valued function of three real variables having the following properties:
Homogeneity property: for some constant and for all . The constant is the degree of homogeneity of the function
Bisymmetry property:
Central triangles of Type 1
Let and be two triangle center functions, not both identically zero functions, having the same degree of homogeneity. Let be the side lengths of the reference triangle . An -central triangle of Type 1 is a triangle the trilinear coordinates of whose vertices have the following form:
Central triangles of Type 2
Let be a triangle center function and be a function function satisfying the homogeneity property and having the same degree of homogeneity as but not satisfying the bisymmetry property. An -central triangle of Type 2 is a triangle the trilinear coordinates of whose vertices have the following form:
Central triangles of Type 3
Let be a triangle center function. An -central triangle of Type 3 is a triangle the trilinear coordinates of whose vertices have the following form:
This is a degenerate triangle in the sense that the points are collinear.
Special cases
If , the -central triangle of Type 1 degenerates to the triangle center . All central triangles of both Type 1 and Type 2 relative to an equilateral triangle degenerate to a point.
Examples
Type 1
The excentral triangle of triangle is a central triangle of Type 1. This is obtained by taking
Let be a triangle center defined by the triangle center function Then the cevian triangle of is a -central triangle of Type 1.
Let be a triangle center defined by the triangle center function Then the anticevian triangle of is a -central triangle of Type 1.
The Lucas central triangle is the -central triangle with where is twice the area of triangle ABC and
Type 2
Let be a triangle center. The pedal and antipedal triangles of are central triangles of Type 2.
Yff Central Triangle
References
Triangle geometry
|
https://en.wikipedia.org/wiki/Rest%20of%20Barbuda
|
The Rest of Barbuda is a major division used by the Antigua and Barbuda Statistics Department for statistical purposes.
Demographics
The major division has 3 enumeration districts.
90400 Barbuda South River Road
90500 Barbuda-East
90600 Barbuda-North
Census data
References
Major Divisions of Antigua and Barbuda
Major Division of Rest of Barbuda
|
https://en.wikipedia.org/wiki/Stephen%20Siklos
|
Stephen Siklos (1950 – 17 August 2019) was a lecturer in the Faculty of Mathematics at the University of Cambridge. He is known for setting up the Sixth Term Examination Papers, used for undergraduate mathematics admissions at several British universities.
Early life
Siklos was born in Epsom, Surrey, England in 1950. His father, Theo Siklos, was an educator and his wife, Ruth Siklos, an almoner. He was educated at Collyer's School before reading the Mathematical Tripos at Pembroke College, University of Cambridge, where he graduated with a masters in mathematics and was awarded the Tyson Medal.
Academic career
In 1973, he began doing research in general relativity under Stephen Hawking, publishing his dissertation titled "Singularities, Invariants and Cosmology" in 1976. From 1980 to 1999 he lectured at Cambridge and was the director of studies at Newnham College. In 1999, he joined Jesus College as a senior tutor, later becoming the college president.
References
1950 births
2019 deaths
British mathematicians
Alumni of the University of Cambridge
Academics of the University of Cambridge
People from Epsom
|
https://en.wikipedia.org/wiki/Complex%20hyperbolic%20space
|
In mathematics, hyperbolic complex space is a Hermitian manifold which is the equivalent of the real hyperbolic space in the context of complex manifolds. The complex hyperbolic space is a Kähler manifold, and it is characterised by being the only simply connected Kähler manifold whose holomorphic sectional curvature is constant equal to -1. Its underlying Riemannian manifold has non-constant negative curvature, pinched between -1 and -1/4 (or -4 and -1, according to the choice of a normalization of the metric): in particular, it is a CAT(-1/4) space.
Complex hyperbolic spaces are also the symmetric spaces associated with the Lie groups . They constitute one of the three families of rank one symmetric spaces of noncompact type, together with real and quaternionic hyperbolic spaces, classification to which must be added one exceptional space, the Cayley plane.
Construction of the complex hyperbolic space
Projective model
Let be a pseudo-Hermitian form of signature in the complex vector space . The projective model of the complex hyperbolic space is the projectivized space of all negative vectors for this form:
As an open set of the complex projective space, this space is endowed with the structure of a complex manifold. It is biholomorphic to the unit ball of , as one can see by noting that a negative vector must have non zero first coordinate, and has a unique representant with first coordinate equal to 1 in the projective space. The condition when is equivalent to . The map sending the point of the unit ball of to the point of the projective space thus defines the required biholomorphism.
This model is the equivalent of the Poincaré disk model. Contrary to the real hyperbolic space, the complex projective space cannot be defined as a sheet of the hyperboloid , because the projection of this hyperboloid onto the projective model has connected fiber (the fiber being in the real case).
A Hermitian metric is defined on in the following way: if belongs to the cone , then the restriction of to the orthogonal space defines a definite positive hermitian product on this space, and because the tangent space of at the point can be naturally identified with , this defines a hermitian inner product on . As can be seen by computation, this inner product does not depend on the choice of the representant . In order to have holomorphic sectional curvature equal to -1 and not -4, one needs to renormalize this metric by a factor. This metric is a Kähler metric.
Siegel model
The Siegel model of complex hyperbolic space is the subset of such that
It is biholomorphic to the unit ball in via the Cayley transform
Boundary at infinity
In the projective model, the complex hyperbolic space identifies with the complex unit ball of dimension , and its boundary can be defined as the boundary of the ball, which is diffeomorphic to the sphere of real dimension . This is equivalent to defining :
As a CAT(0) space, the complex hyperbolic space al
|
https://en.wikipedia.org/wiki/Saint%20Kitts%20and%20Nevis%20national%20football%20team%20results
|
This page details the match results and statistics of the Saint Kitts and Nevis national football team.
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
Saint Kitts and Nevis' score is shown first in each case.
Notes
Record by opponent
References
Saint Kitts and Nevis national football team results
|
https://en.wikipedia.org/wiki/Klein%E2%80%93Kramers%20equation
|
In physics and mathematics, the Klein–Kramers equation or sometimes referred as Kramers–Chandrasekhar equation is a partial differential equation that describes the probability density function of a
Brownian particle in phase space . It is a special case of the Fokker–Planck equation.
In one spatial dimension, is a function of three independent variables: the scalars , , and . In this case, the Klein–Kramers equation is
where is the external potential, is the particle mass, is the friction (drag) coefficient, is the temperature, and is the Boltzmann constant. In spatial dimensions, the equation is
Here and are the gradient operator with respect to and , and is the Laplacian with respect to .
The fractional Klein-Kramers equation is a generalization that incorporates anomalous diffusion by way of fractional calculus.
Physical basis
The physical model underlying the Klein–Kramers equation is that of an underdamped Brownian particle. Unlike standard Brownian motion, which is overdamped, underdamped Brownian motion takes the friction to be finite, in which case the momentum remains an independent degree of freedom.
Mathematically, a particle's state is described by its position and momentum , which evolve in time according to the Langevin equations
Here is -dimensional Gaussian white noise, which models the thermal fluctuations of in a background medium of temperature . These equations are analogous to Newton's second law of motion, but due to the noise term are stochastic ("random") rather than deterministic.
The dynamics can also be described in terms of a probability density function , which gives the probability, at time , of finding a particle at position and with momentum . By averaging over the stochastic trajectories from the Langevin equations, can be shown to obey the Klein–Kramers equation.
Solution in free space
The -dimensional free-space problem sets the force equal to zero, and considers solutions on that decay to 0 at infinity, i.e., as .
For the 1D free-space problem with point-source initial condition, , the solution which is a bivariate Gaussian in and was solved by Subrahmanyan Chandrasekhar (who also devised a general methodology to solve problems in the presence of a potential) in 1943:
where
This special solution is also known as the Green's function , and can be used to construct the general solution, i.e., the solution for generic initial conditions :
Similarly, the 3D free-space problem with point-source initial condition has solution
with , , and and defined as in the 1D solution.
Asymptotic behavior
Under certain conditions, the solution of the free-space Klein–Kramers equation behaves asymptotically like a diffusion process. For example, if
then the density satisfies
where is the free-space Green's function for the diffusion equation.
Solution near boundaries
The 1D, time-independent, force-free () version of the Klein–Kramers equation can be solved on a semi-infinite or bo
|
https://en.wikipedia.org/wiki/Yhlas%20Saparm%C3%A4mmedow
|
Yhlas Saparmämmedowiç Saparmämmedow (born 25 February 1997) is a Turkmen footballer who plays for Turkmen club Köpetdag Aşgabat and the Turkmenistan national team.
Career statistics
International
References
External links
1997 births
Living people
Turkmenistan men's footballers
Turkmenistan men's international footballers
Men's association football midfielders
|
https://en.wikipedia.org/wiki/Sobolev%20mapping
|
In mathematics, a Sobolev mapping is a mapping between manifolds which has smoothness in some sense.
Sobolev mappings appear naturally in manifold-constrained problems in the calculus of variations and partial differential equations, including the theory of harmonic maps.
Definition
Given Riemannian manifolds and , which is assumed by Nash's smooth embedding theorem without loss of generality to be isometrically embedded into as
First-order () Sobolev mappings can also be defined in the context of metric spaces.
Approximation
The strong approximation problem consists in determining whether smooth mappings from to are dense in with respect to the norm topology.
When , Morrey's inequality implies that Sobolev mappings are continuous and can thus be strongly approximated by smooth maps.
When , Sobolev mappings have vanishing mean oscillation and can thus be approximated by smooth maps.
When , the question of density is related to obstruction theory:
is dense in if and only if every continuous mapping on a from a –dimensional triangulation of into is the restriction of a continuous map from to .
The problem of finding a sequence of weak approximation of maps in is equivalent to the strong approximation when is not an integer.
When is an integer, a necessary condition is that the restriction to a -dimensional triangulation of every continuous mapping from a –dimensional triangulation of into coincides with the restriction a continuous map from to .
When , this condition is sufficient
For with , this condition is not sufficient.
Homotopy
The homotopy problem consists in describing and classifying the path-connected components of the space endowed with the norm topology.
When and , then the path-connected components of are essentially the same as the path-connected components of : two maps in are connected by a path in if and only if they are connected by a path in , any path-connected component of and any path-connected component of intersects non trivially.
When , two maps in are connected by a continuous path in if and only if their restrictions to a generic -dimensional triangulation are homotopic.
Extension of traces
The classical trace theory states that any Sobolev map has a trace and that when , the trace operator is onto. The proof of the surjectivity being based on an averaging argument, the result does not readily extend to Sobolev mappings.
The trace operator is known to be onto when or when , is finite and . The surjectivity of the trace operator fails if or if is infinite for some .
Lifting
Given a covering map , the lifting problem asks whether any map can be written as for some , as it is the case for continuous or smooth and when is simply-connected in the classical lifting theory.
If the domain is simply connected, any map can be written as for some
when , when and
and when is compact, and .
There is a topological obstruction to the lifting when and an analytical obstruc
|
https://en.wikipedia.org/wiki/John%20Etnyre
|
John Boyd Etnyre is an American mathematician at the Georgia Institute of Technology, and his research fields include contact geometry, symplectic geometry and low-dimensional topology. He earned his Ph.D. in 1996 from the University of Texas, Austin under the supervision of Robert Gompf. Etnyre was a postdoctoral scholar at Stanford University from 1997-2001. He was a faculty member at the University of Pennsylvania prior to joining the faculty at the Georgia Institute of Technology.
In 2013, Etnyre was in the Inaugural Class of Fellows of the American Mathematical Society. He received a National Science Foundation CAREER grant award in 2003, and in 2015-2016 he was a Simons Fellow in Mathematics. Etnyre serves as a Principal Editor for the journal of Algebraic & Geometric Topology.
References
21st-century American mathematicians
Year of birth missing (living people)
Living people
Georgia Tech faculty
Fellows of the American Mathematical Society
Topologists
University of Pennsylvania faculty
|
https://en.wikipedia.org/wiki/Clare%20Griffiths%20%28statistician%29
|
Clare Griffiths is a British statistician who is head of the UK COVID-19 dashboard at the UK Health Security Agency, previously known as Public Health England. She specialises in mortality statistics. During the COVID-19 pandemic, Griffiths provided the daily COVID statistics for the United Kingdom.
Early life and education
Griffiths studied at Manchester High School for Girls and continued her studies with a degree of human sciences at University College London. She moved to the London School of Hygiene & Tropical Medicine as a graduate student, where she completed a masters degree in medical demography.
Career
In 1998, Griffiths joined the Office for National Statistics as a researcher. She served as Head of Mortality Analysis at the Office for National Statistics from 2004.
Griffiths joined Public Health England at its formation in 2013, leading work on the Public Health Outcomes Framework. She was made Head of the Profession for Statistics in 2019. In the early days of the COVID-19 pandemic, Griffiths was invited to join the COVID-19 dashboard team. She said that even before being asked she had already started wondering how big data could be used to inform public policy. She became responsible for the Government of the United Kingdom's COVID dashboard, which reported data on the daily number of cases, deaths and vaccinations. The data is released daily at 16:00.
In 2021, the I newspaper described Griffiths' dashboard as being more clear and detailed than any other COVID dashboard.
Selected publications
References
Public Health England
British statisticians
Women statisticians
Living people
Year of birth missing (living people)
Alumni of the London School of Hygiene and Tropical Medicine
21st-century British women scientists
|
https://en.wikipedia.org/wiki/Dana%20S.%20Richards
|
Dana S. Richards is a writer, mathematics popularizer and Associate Professor in Computer Science at George Mason University.
His research interests include comparisons of protein sequences, Steiner tree algorithms, information dissemination in networks, parallel heuristics, methodology for computationally intractable problems and parallel algorithms for median filters. He is the longtime bibliographer of polymath Martin Gardner.
Education and career
Richards received an M.S. from the University of Virginia in 1976 and a Ph.D. in computer science from the University of Illinois at Urbana-Champaign under Chung Laung Liu in 1984.
He was an Assistant Professor of Computer Science at the University of Virginia, and a Program Director of Theory of Computing at the National Science Foundation (June 1993 through May 1994).
He has written or edited seven books and numerous journal articles. In addition, he is a reviewer for many journals, and has received numerous research awards. He became an Associate Professor of Computer Science at George Mason University in 1994.
Martin Gardner
Dana Richards was a friend of Martin Gardner going back to the 1970s, and in his writing and speaking he often memorialized and popularized Gardner's work.
In 2006 he edited The Colossal Book of Short Puzzles and Problems which collected all of Gardner's short puzzles in one volume. He wrote Gardner's obituary in Science and in 2023 he published a comprehensive bibliography of Gardner's works.
Since Gardner's death in 2010 events called Celebration of Mind are held every October which include games, magic and puzzles in the Gardner tradition, and Richards is frequently featured at these events discussing Gardner's life and work.
Books
The Bibliography of Martin Gardner, June, 2023
Dear Martin / Dear Marcello: Gardner and Truzzi on Skepticism by Dana Richards, April 28, 2017
Problems in sorting and graph algorithms OCLC 12048476
The colossal book of short puzzles and problems
The Mathemagician and Pied Puzzler
Dana Richards, "Martin Gardner: A 'Documentary' ", in The Mathematician and the Pied Puzzler: A collection in tribute to Martin Gardner (1999), ed.
References
External links
official web page
Mathematics popularizers
Recreational mathematicians
University of Virginia alumni
University of Virginia faculty
University of Illinois Urbana-Champaign alumni
George Mason University faculty
Living people
20th-century American mathematicians
Year of birth missing (living people)
|
https://en.wikipedia.org/wiki/Isabelle%20Galmiche
|
Isabelle Galmiche (Gal-MEE-sh; born 19 November 1971) is a French rally co-driver and mathematics teacher. As of January 2022, she is the co-driver for nine-time World Rally Champion Sebastien Loeb, driving for M-Sport Ford in the World Rally Championship.
Rally career
Galmiche and Loeb won the 90th Rally Monte Carlo on January 23, 2022, becoming the oldest driver and female co-driver, respectively, to win a WRC rally. Galmiche became the first woman co-driver to win a WRC event since Fabrizia Pons in 1997. She has been Loeb's co-driver on tests, deputising for his former co-driver Daniel Elena on a part-time basis, since 2012.
Rally victories
WRC victories
World Rally Championship results
References
External links
Isabelle Galmiche's e-wrc profile
1971 births
Living people
Female rally drivers
French rally co-drivers
French schoolteachers
Mathematics educators
World Rally Championship co-drivers
|
https://en.wikipedia.org/wiki/Mohamed%20Fawzy
|
Mohamed Fawzy Noaman (; born 10 July 1993) is an Egyptian professional footballer who plays as a goalkeeper for Ismaily.
Career statistics
Club
Notes
References
1993 births
Living people
Egyptian men's footballers
Egypt men's youth international footballers
Men's association football goalkeepers
Egyptian Premier League players
Al Ahly SC players
Tala'ea El Gaish SC players
Ghazl El Mahalla SC players
Ismaily SC players
People from Damietta Governorate
|
https://en.wikipedia.org/wiki/Mohamed%20Fathallah%20%28footballer%29
|
Mohamed Fathallah Gomaa Abdelkader El-Ramal (; born 15 June 1993) is an Egyptian professional footballer who plays as a defender for Ghazl El Mahalla.
Career statistics
Club
Notes
References
1993 births
Living people
Egyptian men's footballers
Men's association football defenders
Egyptian Premier League players
Ghazl El Mahalla SC players
21st-century Egyptian people
|
https://en.wikipedia.org/wiki/Mohamed%20Camara%20%28footballer%2C%20born%20March%202000%29
|
Mohamed Camara (born 16 March 2000) is a Guinean footballer who currently plays as a goalkeeper for CI Kamsar. He is the son of Guinean Goalkeeping legend Kemoko Camara.
Career statistics
International
References
2000 births
Living people
Guinean men's footballers
Guinea men's youth international footballers
Guinea men's international footballers
Men's association football goalkeepers
AS Kaloum Star players
Guinea men's A' international footballers
2020 African Nations Championship players
|
https://en.wikipedia.org/wiki/Mohamed%20Sorel%20Camara
|
Mohamed Sorel Camara (born 27 May 1997) is a Guinean footballer who currently plays as a midfielder for French side FCO Tourangeau.
Career statistics
Club
Notes
International
International goals
Scores and results list Guinea's goal tally first, score column indicates score after each Guinea goal.
References
1997 births
Living people
Guinean men's footballers
Guinea men's international footballers
Men's association football midfielders
Championnat National 3 players
Fello Star players
Hafia FC players
AS Kaloum Star players
Tours FC players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in France
Expatriate men's footballers in France
People from Kindia
|
https://en.wikipedia.org/wiki/Mohamed%20Tawal%20Camara
|
Mohamed Tawal Camara (born 23 May 1976) is a Guinean former footballer who played in Hungary for Újpest. He was capped three times by Guinea in 1996.
Career statistics
Club
Notes
International
References
1976 births
Living people
Footballers from Conakry
Guinean men's footballers
Guinea men's international footballers
Men's association football defenders
Nemzeti Bajnokság I players
Újpest FC players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in Hungary
Expatriate men's footballers in Hungary
|
https://en.wikipedia.org/wiki/Mohamed%20Camara%20%28footballer%2C%20born%201989%29
|
Mohamed Camara (born 6 April 1989) is a Guinean former footballer. He was capped twice for Guinea between 2012 and 2013.
Career statistics
Club
Notes
International
References
1989 births
Living people
Guinean men's footballers
Guinea men's international footballers
Men's association football midfielders
Botola players
Satellite FC players
MA Tétouan players
COD Meknès players
Horoya AC players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in Morocco
Expatriate men's footballers in Morocco
Footballers from Conakry
|
https://en.wikipedia.org/wiki/Yali-Yali
|
Mohamed Camara Yali-Yali (born 16 March 1985) is a Guinean former footballer. He spent one season with Belgian side Lokeren, and also played in Saudi Arabia with Al-Watani.
Career statistics
Club
Notes
References
1984 births
Living people
Guinean men's footballers
Men's association football midfielders
Belgian Pro League players
Satellite FC players
K.S.C. Lokeren Oost-Vlaanderen players
Al-Watani Club players
Horoya AC players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Guinean expatriate sportspeople in Saudi Arabia
Expatriate men's footballers in Saudi Arabia
|
https://en.wikipedia.org/wiki/Mohamed%20Marko%20Camara
|
Mohamed Marko Camara (born 5 May 1985) is a Guinean former footballer. He spent one season with Algerian side Saïda.
Career statistics
Club
Notes
References
1985 births
Living people
Guinean men's footballers
Men's association football forwards
Tunisian Ligue Professionnelle 1 players
Algerian Ligue Professionnelle 1 players
Fello Star players
CA Bizertin players
MC Saïda players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in Tunisia
Expatriate men's footballers in Tunisia
Expatriate men's footballers in Algeria
Footballers from Conakry
|
https://en.wikipedia.org/wiki/Mohamed%20Camara%20%28footballer%2C%20born%201999%29
|
Mohamed Camara (born 9 July 1999) is a Guinean footballer who currently plays as a defender for Ashanti GB.
Career statistics
International
References
1999 births
Living people
Guinean men's footballers
Guinea men's international footballers
Men's association football defenders
Wakriya AC players
AS Ashanti Golden Boys players
Guinea men's A' international footballers
2020 African Nations Championship players
|
https://en.wikipedia.org/wiki/Mohamed%20Camara%20%28footballer%2C%20born%201982%29
|
Mohamed Camara (born 24 August 1982) is a Guinean former footballer. He spent one season with Algerian side Biskra before moving to Moldova to sign for Tiligul Tiraspol.
Career statistics
Club
Notes
References
1982 births
Living people
Guinean men's footballers
Men's association football midfielders
Algerian Ligue Professionnelle 1 players
AS Kaloum Star players
US Biskra players
CS Tiligul-Tiras Tiraspol players
Guinean expatriate men's footballers
Expatriate men's footballers in Algeria
Guinean expatriate sportspeople in Moldova
Expatriate men's footballers in Moldova
|
https://en.wikipedia.org/wiki/Zone%20theorem
|
In geometry, the zone theorem is a result that establishes the complexity of the zone of a line in an arrangement of lines.
Definition
A line arrangement, denoted as , is a subdivision of the plane, induced by a set of lines , into cells (-dimensional faces), edges (-dimensional faces) and vertices (-dimensional faces). Given a set of lines , the line arrangement , and a line (not belonging to ), the zone of is the set of faces intersected by . The complexity of a zone is the total number of edges in its boundary, expressed as a function of .
The zone theorem states that said complexity is .
History
This result was published for the first time in 1985; Chazelle et al. gave the upper bound of for the complexity of the zone of a line in an arrangement. In 1991, this bound was improved to , and it was also shown that this is the best possible upper bound up to a small additive factor. Then, in 2011, Rom Pinchasi proved that the complexity of the zone of a line in an arrangement is at most , and this is a tight bound.
Some paradigms used in the different proofs of the theorem are induction, sweep technique, tree construction, and Davenport-Schinzel sequences.
Generalizations
Although the most popular version is for arrangements of lines in the plane, there exist some generalizations of the zone theorem. For instance, in dimension , considering arrangements of hyperplanes, the complexity of the zone of a hyperplane is the number of facets ( - dimensional faces) bounding the set of cells (-dimensional faces) intersected by . Analogously, the -dimensional zone theorem states that the complexity of the zone of a hyperplane is . There are considerably fewer proofs for the theorem for dimension . For the -dimensional case, there are proofs based on sweep techniques and for higher dimensions is used Euler’s relation:
Another generalization is considering arrangements of pseudolines (and pseudohyperplanes in dimension ) instead of lines (and hyperplanes). Some proofs for the theorem work well in this case since they do not use the straightness of the lines substantially through their arguments.
Motivation
The primary motivation to study the zone complexity in arrangements arises from looking for efficient algorithms to construct arrangements. A classical algorithm is the incremental construction, which can be roughly described as adding the lines one after the other and storing all faces generated by each in an appropriate data structure (the usual structure for arrangements is the doubly connected edge list (DCEL)). Here, the consequence of the zone theorem is that the entire construction of any arrangement of lines can be done in time , since the insertion of each line takes time .
Notes
References
.
.
.
.
.
.
.
.
.
.
Euclidean plane geometry
Theorems in plane geometry
|
https://en.wikipedia.org/wiki/Mohamed%20Almamy%20Camara
|
Mohamed Almamy Camara (born 27 March 1996) is a Guinean footballer who plays as a forward for Swiss side YF Juventus.
Career statistics
Club
Notes
References
1996 births
Living people
Footballers from Conakry
Guinean men's footballers
Men's association football forwards
Championnat National 3 players
Swiss 1. Liga (football) players
2. Liga (Austria) players
Swiss Promotion League players
RC Strasbourg Alsace players
SR Delémont players
SV Horn players
SC Young Fellows Juventus players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in France
Expatriate men's footballers in France
Guinean expatriate sportspeople in Switzerland
Expatriate men's footballers in Switzerland
Guinean expatriate sportspeople in Austria
Expatriate men's footballers in Austria
|
https://en.wikipedia.org/wiki/Mohamed%20Saliou%20Camara
|
Mohamed Saliou Camara (born 5 August 1996) is a Guinean footballer.
Career statistics
International
References
1996 births
Living people
Guinean men's footballers
Guinea men's international footballers
Men's association football midfielders
Fello Star players
Guinea men's A' international footballers
2018 African Nations Championship players
|
https://en.wikipedia.org/wiki/Mohamed%20Camara%20%28footballer%2C%20born%201981%29
|
Mohamed Camara (born 27 December 1981) is a Sierra Leonean former footballer. He spent one season with Russian side Fakel.
Career statistics
Club
Notes
References
1981 births
Living people
Sierra Leonean men's footballers
Men's association football midfielders
Russian Premier League players
FC Fakel Voronezh players
FC Dynamo Saint Petersburg players
Sierra Leonean expatriate men's footballers
Expatriate men's footballers in Russia
|
https://en.wikipedia.org/wiki/Mohamed%20Lamine%20Camara
|
Mohamed Lamine Camara (born 1 January 1986) is a Guinean former footballer.
Career statistics
Club
Notes
References
1986 births
Living people
Footballers from Conakry
Guinean men's footballers
Men's association football forwards
Championnat National 3 players
Ligue 2 players
Championnat National players
FC Séquence de Dixinn players
RCO Agde players
CS Sedan Ardennes players
FC Libourne players
Guinean expatriate men's footballers
Guinean expatriate sportspeople in France
Expatriate men's footballers in France
|
https://en.wikipedia.org/wiki/Leila%20Bram
|
Leila Ann Dragonette Bram (1927–September 7, 1979) was an American mathematician. She was one of the first to study mock theta functions, and for many years directed the mathematics program at the Office of Naval Research, a position where she set the program for much of mathematics research.
Early life and education
Bram was born in 1927, in Drexel Hill, Pennsylvania, and was educated at the Lansdowne High School in Maryland. As an undergraduate at Bryn Mawr College, she double-majored in mathematics and physics, won the Maria L. Eastman Brooke Hall Memorial Scholarship and European Fellowship, the college's highest honor, and did an honors thesis on beta ray spectroscopy. She graduated in 1947.
She went to the University of Pennsylvania for graduate study in mathematics, earning a master's degree and a Ph.D. there. Her 1951 doctoral dissertation, Asymptotic Formula for the Mock Theta Series of Ramanujan, was supervised by Hans Rademacher; it (and the journal version she published from it) became one of only three works to study the mock theta functions between Ramanujan in the 1920s and the work of George Andrews beginning in 1966.
Career and later life
After completing her Ph.D., Bram became a postdoctoral fellow at the Office of Naval Research, and took a permanent position as a mathematician there beginning in 1953, from which she was on leave from 1955 to 1959. At the Office of Naval Research, she later headed the Mathematics Bureau, and then the Mathematics Program. Among her projects there was the establishment of a conference series connecting computer graphics to mathematics that became the International Conferences on Computer Aided Geometric Design.
She died of cancer on September 7, 1979.
References
1927 births
1979 deaths
American mathematicians
American women mathematicians
Bryn Mawr College alumni
University of Pennsylvania alumni
|
https://en.wikipedia.org/wiki/CUNEF%20University
|
CUNEF University is a Spanish private university, located in Madrid and specialising in Business and Economics, Mathematics and Computer Science and Digital Business, Law and Institutions.
History
In 1973, the Higher Banking Council, now called the Spanish Banking Association, founded the university as the University College of Financial Studies. At that time, the institution operated as an affiliated center of the Complutense University of Madrid.
In 2019, it was recognised as an independent university. Its academic trajectory as an independent private university began in the 2021-2022 academic year.
References
External links
Universities in the Community of Madrid
1973 establishments in Spain
Universities and colleges established in 1973
|
https://en.wikipedia.org/wiki/Monica%20Niculescu%20career%20statistics
|
This is a list of the main career statistics of professional Romanian tennis player Monica Niculescu.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2022 French Open.
Doubles
Current after the 2023 Dubai Open.
Mixed doubles
Significant finals
Grand Slam tournament finals
Doubles: 1 (1 runner-up)
Premier-Mandatory/Premier-5 finals
Doubles: 3 (3 runner-ups)
WTA career finals
Singles: 8 (3 titles, 5 runner-ups)
Doubles: 33 (10 titles, 23 runner-ups)
WTA Challenger finals
Singles: 1 (1 title)
Doubles: 3 (1 title, 2 runner-ups)
ITF Circuit finals
Singles: 24 (19 titles, 5 runner–ups)
Doubles: 38 (22 titles, 16 runner–ups)
WTA Tour career earnings
Current after the 2022 US Open
Record against other players
Record against top 10 players
Niculescu's win–loss record against certain players who have been ranked world No. 10 or higher is as follows. Active players are in boldface:
Top-10 wins
Notes
References
Niculescu, Monica
|
https://en.wikipedia.org/wiki/Turks%20and%20Caicos%20Islands%20national%20football%20team%20results
|
This page details the match results and statistics of the Turks and Caicos Islands national football team.
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
Turks and Caicos Islands' score is shown first in each case.
Notes
Record by opponent
References
|
https://en.wikipedia.org/wiki/Circumcevian%20triangle
|
In Euclidean geometry, a circumcevian triangle is a special triangle associated with a reference triangle and a point in the plane of the triangle. It is also associated with the circumcircle of the reference triangle.
Definition
[[File:CircumCevianTriangle.png|thumb|
{{legend-line|solid brown|Circumcevian triangle is called the circumcevian triangle of with reference to .
Coordinates
Let be the side lengths of triangle and let the trilinear coordinates of be . Then the trilinear coordinates of the vertices of the circumcevian triangle of are as follows:
Some properties
Every triangle inscribed in the circumcircle of the reference triangle ABC is congruent to exactly one circumcevian triangle.
The circumcevian triangle of P is similar to the pedal triangle of P.
The McCay cubic is the locus of point P such that the circumcevian triangle of P and ABC are orthologic.
See also
Cevian
Ceva's theorem
References
Triangle geometry
|
https://en.wikipedia.org/wiki/Hou%20Yu%20%28footballer%2C%20born%202001%29
|
Hou Yu (; born 31 January 2001) is a Chinese professional footballer who plays as a midfielder for and captains China League One club Guangzhou.
Career statistics
Club
.
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football defenders
China League Two players
Chinese Super League players
Guangzhou F.C. players
|
https://en.wikipedia.org/wiki/Liu%20Junxian
|
Liu Junxian (; born 25 January 2001) is a Chinese footballer currently playing as a forward for Guangxi Pingguo Haliao.
Career statistics
Club
.
Notes
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football forwards
Campeonato de Portugal (league) players
China League Two players
Chinese Super League players
Shandong Taishan F.C. players
F.C. Vizela players
Juventude de Pedras Salgadas players
Wuhan Yangtze River F.C. players
Chinese expatriate men's footballers
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
|
https://en.wikipedia.org/wiki/Li%20Zhizhao
|
Li Zhizhao (; born 6 August 1999) is a Chinese footballer who plays as a goalkeeper for Sichuan Jiuniu F.C.
Career statistics
Club
.
Notes
References
1999 births
Living people
Footballers from Guangzhou
Footballers from Guangdong
Chinese men's footballers
Men's association football goalkeepers
China League One players
Chinese Super League players
Guangzhou F.C. players
Qingdao F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/McCay%20cubic
|
In Euclidean geometry, the McCay cubic (also called M'Cay cubic or Griffiths cubic) is a cubic plane curve in the plane of a reference triangle and associated with it. It is the third cubic curve in Bernard Gilbert's Catalogue of Triangle Cubics and it is assigned the identification number K003.
Definition
The McCay cubic can be defined by locus properties in several ways. For example, the McCay cubic is the locus of a point such that the pedal circle of is tangent to the nine-point circle of the reference triangle . The McCay cubic can also be defined as the locus of point such that the circumcevian triangle of and are orthologic.
Equation of the McCay cubic
The equation of the McCay cubic in barycentric coordinates is
The equation in trilinear coordinates is
McCay cubic as a stelloid
A stelloid is a cubic that has three real concurring asymptotes making 60° angles with one another. McCay cubic is a stelloid in which the three asymptotes concur at the centroid of triangle ABC. A circum-stelloid having the same asymptotic directions as those of McCay cubic and concurring at a certain (finite) is called McCay stelloid. The point where the asymptoptes concur is called the "radial center" of the stelloid. Given a finite point X there is one and only one McCay stelloid with X as the radial center.
References
Triangle geometry
|
https://en.wikipedia.org/wiki/Fan%20Weixiang
|
Fan Weixiang (; born 26 June 1997) is a Chinese footballer currently playing as a goalkeeper for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1997 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
Chinese Super League players
Shenyang Dongjin F.C. players
Chongqing Liangjiang Athletic F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Gerg%C5%91%20Gy%C3%B6ny%C3%B6r%C5%B1
|
Gergő Gyönyörű (born 12 March 2001) is a Hungarian football midfielder who plays for Karcagi SE.
Career statistics
References
External links
2001 births
People from Debrecen
Living people
Hungarian men's footballers
Men's association football midfielders
Debreceni VSC players
Debreceni EAC (football) players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
|
https://en.wikipedia.org/wiki/Don%C3%A1t%20B%C3%A1r%C3%A1ny
|
Donát Bárány (born 4 April 2000) is a Hungarian professional footballer who plays for OTP Bank Liga club Debrecen.
Career statistics
References
External links
2000 births
Living people
People from Debrecen
Hungarian men's footballers
Men's association football forwards
Hungary men's youth international footballers
Debreceni VSC players
Nemzeti Bajnokság I players
|
https://en.wikipedia.org/wiki/Attila%20Szuj%C3%B3
|
Attila Szujó (born 14 September 2003) is a Hungarian football defender who plays for Győr.
Club career
On 7 July 2022, Szujó signed a three-year contract with Győr.
Career statistics
References
External links
2003 births
Footballers from Kecskemét
Living people
Hungarian men's footballers
Men's association football defenders
Hungary men's youth international footballers
Debreceni VSC players
Győri ETO FC players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
|
https://en.wikipedia.org/wiki/Antisemitism%20in%20Soviet%20mathematics
|
Antisemitism in Soviet mathematics was a manifestation of hostility, prejudice and discrimination in the Soviet Union towards Jews in the scientific and educational environment related to mathematics.
According to numerous testimonies and facts, from the second half of the 1960s to the beginning of the 1980s, Jews studying or working in the field of mathematics in the USSR were discriminated against when entering universities, postgraduate studies and work, when defending their dissertations, when trying to publish an article or book, when traveling to scientific conferences and abroad.
Academicians Ivan Vinogradov, Lev Pontryagin and a number of others, who for a long time led and determined policy in Soviet mathematics, were accused by contemporaries of carrying out antisemitic policies. This has caused several international scandals. Pontryagin himself denied these accusations.
Discrimination became one of the reasons for the mass emigration of Jewish mathematicians from the USSR. Due to possible emigration, Jews in the USSR were often viewed as disloyal citizens, although discrimination preceded emigration, and not vice versa.
Background
Antisemitism in the USSR was a continuation of antisemitism in the Russian Empire. Since 1887 in the Russian Empire there was a Jewish quota for students ranging from 3% in Moscow and Saint Petersburg and up to 10% in the Pale of Settlement region. Some educational institutions were generally closed for Jews. Jews were allowed to lecture at universities as a rare exception; it was almost impossible for a Jew to make a scientific career in Russia.
At the state level, antisemitism emerged in the USSR in the late 1930s and peaked in the late 1940s and early 1950s. During this period, two major openly anti-Jewish trials took place — the case of the Night of the Murdered Poets and the "doctors' plot". In 1944, restrictions were imposed on the admission of Jews to universities. During the anti-cosmopolitan campaign, Jewish students were expelled from universities, and scientists and teachers were fired from their jobs.
Since 1967, after the Arab-Israeli Six-Day War, anti-Zionist propaganda has sharply intensified in the USSR, often turning into prejudice towards Jews. On 9 March 1968, against the illegal forced sending of dissident Alexander Esenin-Volpin to a psychiatric hospital. After that, many who signed the letter were subjected to repression: they were required to refuse to sign the letter, they were kicked out of their jobs, demoted, prohibited from traveling abroad, etc. Gradually, the leadership of Soviet mathematics was changed, and a new antisemitic policy began to be pursued.
Discrimination against Jewish mathematicians in the USSR
Discrimination in education
Historian Semyon Charny, an employee of the Memorial human rights research centre, notes that discrimination was originally inherent in the Soviet education system, but was based on class. A discriminatory system based on ethnicity in o
|
https://en.wikipedia.org/wiki/Hsu%20Heng-pin
|
Hsu Heng-pin (; born 17 April 1993) is a Taiwanese international footballer who plays as a midfielder for Taichung Futuro.
Career statistics
International
International goals
Scores and results list Taiwan's goal tally first, score column indicates score after each Taiwan goal.
References
External links
1993 births
Living people
Taiwanese men's footballers
Chinese Taipei men's international footballers
Men's association football midfielders
|
https://en.wikipedia.org/wiki/Khristiyan%20Brauzman
|
Khristiyan Yevgenyevich Brauzman (; born 15 August 2003) is a Kyrgyzstani footballer who currently plays for Abdysh-Ata Kant.
Career statistics
Club
International
References
2003 births
Living people
Kyrgyzstani men's footballers
Kyrgyzstan men's youth international footballers
Kyrgyzstan men's international footballers
Men's association football defenders
Kyrgyz Premier League players
Eskişehirspor footballers
FC Abdysh-Ata Kant players
Kyrgyzstani expatriate men's footballers
Kyrgyzstani expatriate sportspeople in Turkey
Expatriate men's footballers in Turkey
Kyrgyzstani people of German descent
|
https://en.wikipedia.org/wiki/Ziad%20Tarek
|
Ziad Tarek Mohamed Farag (; born 6 September 2000) is an Egyptian professional footballer who plays as a winger for ENPPI SC.
Career statistics
Club
Notes
Honours
Al Ahly
FIFA Club World Cup:Third-Place 2021
Egypt Cup: 2021–22
References
2000 births
Living people
Footballers from Cairo
Egyptian men's footballers
Men's association football midfielders
Egyptian Premier League players
Al Ahly SC players
Ismaily SC players
|
https://en.wikipedia.org/wiki/Fahd%20Gomaa
|
Fahd Gomaa (; born 11 January 1999) is an Egyptian professional footballer who plays as a forward for Asyut Petroleum SC.
Career statistics
Club
Notes
External links
References
1999 births
Living people
Egyptian men's footballers
Men's association football forwards
Egyptian Premier League players
Al Ahly SC players
Smouha SC players
|
https://en.wikipedia.org/wiki/Saleh%20Nasr
|
Saleh Nasr (; born 7 December 1999) is an Egyptian professional footballer who plays as a midfielder for Al Ahly.
Career statistics
Club
Notes
References
1999 births
Living people
Egyptian men's footballers
Men's association football midfielders
Egyptian Premier League players
Al Ahly SC players
Wadi Degla S.C. players
|
https://en.wikipedia.org/wiki/Mohamed%20Shokry
|
Mohamed Shokry (; born 6 July 1999) is an Egyptian professional footballer who plays as a left-back for Ceramica Cleopatra. He started his career in Al-Ahly's youth academy.
Career statistics
Club
Notes
References
1999 births
Living people
People from Sharqia Governorate
Egyptian men's footballers
Men's association football defenders
Egyptian Premier League players
Al Ahly SC players
Smouha SC players
|
https://en.wikipedia.org/wiki/Faress%20Tarek
|
Faress Tarek (; born 14 January 2000) is an Egyptian professional footballer who plays as a right-back for Al Ahly.
Career statistics
Club
Notes
References
2000 births
Living people
Egyptian men's footballers
Men's association football defenders
Egyptian Premier League players
Al Ahly SC players
Misr Lel Makkasa SC players
|
https://en.wikipedia.org/wiki/Marko%20%C4%90ira
|
Marko Đira (born 5 May 1999) is a Croatian professional footballer who plays as a midfielder for Šibenik.
Career statistics
Club
References
1999 births
Living people
Footballers from Šibenik
Croatian men's footballers
Croatian expatriate men's footballers
Croatia men's youth international footballers
Men's association football midfielders
First Football League (Croatia) players
Croatian Football League players
Slovenian PrvaLiga players
HNK Šibenik players
GNK Dinamo Zagreb II players
GNK Dinamo Zagreb players
NK Lokomotiva Zagreb players
FC Koper players
Croatian expatriate sportspeople in Slovenia
Expatriate men's footballers in Slovenia
|
https://en.wikipedia.org/wiki/Huang%20Zihao
|
Huang Zihao (; born 9 June 2001) is a Chinese footballer currently playing as a goalkeeper for Nanjing City.
Career statistics
Club
.
Notes
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football goalkeepers
China League One players
Jiangsu F.C. players
|
https://en.wikipedia.org/wiki/Subi%20Ablimit
|
Subi Ablimit (; born 13 February 2002) is a Chinese footballer currently playing as a defender for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
2002 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football defenders
China League Two players
Shandong Taishan F.C. players
Uyghur sportspeople
Chinese people of Uyghur descent
|
https://en.wikipedia.org/wiki/Jin%20Shunkai
|
Jin Shunkai (; born 19 October 2001) is a Chinese footballer currently playing as a defender for Shanghai Shenhua.
Career statistics
Club
.
Notes
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football defenders
China League Two players
Shanghai Shenhua F.C. players
|
https://en.wikipedia.org/wiki/Qi%20Yuxi
|
Qi Yuxi (; born 21 November 2000) is a Chinese footballer currently playing as a goalkeeper for Heilongjiang Ice City.
Career statistics
Club
.
Notes
References
2000 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football goalkeepers
China League One players
Jiangsu F.C. players
Heilongjiang Ice City F.C. players
|
https://en.wikipedia.org/wiki/Annie%20MacKinnon
|
Annie Louise MacKinnon Fitch (June 1, 1868 – September 12, 1940) was a Canadian-born American mathematician who worked with Felix Klein and became a professor of mathematics at Wells College. She was the third woman to earn a mathematics doctorate at an American university.
Early life and education
Annie Louise MacKinnon was born June 1, 1868, in Woodstock, Ontario; her parents were also both originally from Ontario. She moved with her family as an infant to Concordia, Kansas, where her father worked as a realtor and hardware salesman. After graduating from Concordia High School, she became a student at the University of Kansas, which had been coeducational since it was founded in 1866. She graduated in 1889, and remained at the University of Kansas for graduate study in mathematics, becoming the third mathematics graduate student at the university and the first woman. She earned a master's degree in 1891, remaining one more year at the university to work there with Henry Byron Newson.
In 1892, MacKinnon transferred to Cornell University. She finished her doctorate there in 1894, supported as an Erastus Brooks fellow. Her dissertation, Concomitant Binary Forms in Terms of the Roots, was supervised by James Edward Oliver, and also thanked James McMahon as a faculty mentor. This made her the third woman to earn a mathematics doctorate at an American university, following Winifred Edgerton Merrill in 1886 at Columbia University in 1886 and Ida Martha Metcalf at Cornell in 1893.
From 1894 to 1896 she continued to study mathematics at the University of Göttingen, working there with Felix Klein, supported in the first year by the Association of Collegiate Alumnae European Fellowship and in the second year by the Women's Education Association of Boston European Fellowship.
Career and later life
MacKinnon taught high school mathematics in Lawrence, Kansas from 1890 to 1892. After her return from Europe in 1896, she became professor of mathematics at Wells College, a women's college in Aurora, New York; she was the only mathematician on the faculty. She also served as registrar for the college for 1900–1901.
In 1901, MacKinnon married Edward Fitch, an American classics scholar who had been at Göttingen at roughly the same time as MacKinnon, and later taught at Hamilton College.
After marrying, she gave up her mathematical career.
She died on September 12, 1940, in Clinton, New York. A scholarship in mathematics at Hamilton College was established in her name by her husband.
References
1868 births
1940 deaths
People from Woodstock, Ontario
American mathematicians
American women mathematicians
University of Kansas alumni
Cornell University alumni
Wells College faculty
Canadian emigrants to the United States
|
https://en.wikipedia.org/wiki/Oh%20Yong-nam
|
Oh Yong-nam (; born 10 September 1960) is a North Korean former footballer. He represented North Korea on at least sixteen occasions between 1989 and 1992, scoring once.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
External links
1960 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football defenders
Footballers at the 1990 Asian Games
1992 AFC Asian Cup players
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Kim%20Yun-chol
|
Kim Yun-chol (; born 30 November 1964) is a North Korean former footballer. He represented North Korea on at least nine occasions between 1989 and 1990, scoring twice.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1964 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football forwards
Footballers at the 1990 Asian Games
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Kim%20Chi-won%20%28footballer%29
|
Kim Chi-won (; born 17 October 1967) is a North Korean former footballer. He represented North Korea on at least sixteen occasions between 1989 and 1990.
Career statistics
International
References
1967 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football goalkeepers
Footballers at the 1990 Asian Games
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Kim%20Kyong-il%20%28footballer%2C%20born%201970%29
|
Kim Kyong-il (; born 10 October 1970) is a North Korean former footballer. He represented North Korea on at least thirty-one occasions between 1988 and 1993, scoring three times.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
External links
Kim Kyong-il at 11v11
Kim Kyong-il at 11v11
1970 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football defenders
Footballers at the 1990 Asian Games
1992 AFC Asian Cup players
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Yun%20Chol%20%28footballer%29
|
Yun Chol (; born 27 October 1972) is a North Korean former footballer. He represented North Korea on at least five occasions in 1990.
Career statistics
International
References
1972 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football midfielders
Pyongyang Sports Club players
Footballers at the 1990 Asian Games
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Tak%20Yong-bin
|
Tak Yong-bin (; born 23 July 1962) is a North Korean former footballer. He represented North Korea on at least forty-eight occasions between 1985 and 1993, scoring twice.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1962 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football defenders
Footballers at the 1990 Asian Games
1992 AFC Asian Cup players
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Kim%20Yong-nam%20%28footballer%29
|
Kim Yong-nam (; born 14 May 1958) is a North Korean former footballer. He represented North Korea on at least fifteen occasions between 1980 and 1990, scoring three times.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1958 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football forwards
Footballers at the 1990 Asian Games
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Ryu%20Song-gun
|
Ryu Song-gun (; born 16 December 1972) is a North Korean former footballer. He represented North Korea on at least twenty-seven occasions between 1990 and 1993, scoring seven goals.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1972 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football midfielders
Footballers at the 1990 Asian Games
1992 AFC Asian Cup players
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Pang%20Gwang-chol
|
Pang Gwang-chol (; born 27 September 1970) is a North Korean former footballer. He represented North Korea on at least thirty-six occasions between 1989 and 1993, scoring once.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1970 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football midfielders
Footballers at the 1990 Asian Games
1992 AFC Asian Cup players
Asian Games competitors for North Korea
|
https://en.wikipedia.org/wiki/Kim%20Chung
|
Kim Chung (; born 21 November 1963) is a North Korean former footballer. He represented North Korea on at least five occasions in 1990.
Career statistics
International
References
1963 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football goalkeepers
Footballers at the 1990 Asian Games
Medalists at the 1990 Asian Games
Asian Games medalists in football
Asian Games silver medalists for North Korea
Asian Games competitors for North Korea
20th-century North Korean people
|
https://en.wikipedia.org/wiki/Kim%20Pung-il
|
Kim Pung-il is a North Korean former footballer. He represented North Korea on at least twelve occasions between 1986 and 1989, scoring five times.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
Date of birth unknown
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football midfielders
Year of birth missing (living people)
|
https://en.wikipedia.org/wiki/Rim%20Hwa-young
|
Rim Hwa-young (; born 22 December 1972) is a North Korean former footballer. He represented North Korea on at least twelve occasions between 1992 and 1993.
Career statistics
International
References
1972 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football defenders
1992 AFC Asian Cup players
|
https://en.wikipedia.org/wiki/Choi%20Won-nam
|
Choi Won-nam (; born 5 October 1969) is a North Korean former footballer. He represented North Korea on at least twenty-one occasions between 1991 and 1993, scoring five goals.
Career statistics
International
International goals
Scores and results list North Korea's goal tally first, score column indicates score after each North Korea goal.
References
1969 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football forwards
1992 AFC Asian Cup players
|
https://en.wikipedia.org/wiki/Gong%20Mun-chol
|
Gong Mun-chol (; born 16 August 1967) is a North Korean former footballer. He represented North Korea on at least sixteen occasions between 1992 and 1993.
Career statistics
International
References
1967 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football midfielders
1992 AFC Asian Cup players
|
https://en.wikipedia.org/wiki/Kim%20Yong-ho
|
Kim Yong-ho (; born 2 September 1964) is a North Korean former footballer. He represented North Korea on at least seventeen occasions between 1992 and 1993.
Career statistics
International
References
1964 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football goalkeepers
1992 AFC Asian Cup players
|
https://en.wikipedia.org/wiki/Hyon%20Jong-hyok
|
Hyon Jong-hyok (; born 31 March 1993) is a North Korean former footballer. He represented North Korea on at least one occasion in 2014.
Career statistics
International
References
1993 births
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football defenders
|
https://en.wikipedia.org/wiki/Chon%20Kwon
|
Chon Kwon is a North Korean former footballer. He represented North Korea on at least two occasions in 2000, but was also part of the squad at the 1998 Asian Games.
Career statistics
International
References
Date of birth unknown
Living people
North Korean men's footballers
North Korea men's international footballers
Men's association football players not categorized by position
Footballers at the 1998 Asian Games
Asian Games competitors for North Korea
Year of birth missing (living people)
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.