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https://en.wikipedia.org/wiki/Probability%20and%20statistics
|
Probability and statistics are two closely related fields in mathematics, sometimes combined for academic purposes. They are covered in several articles:
Probability
Statistics
Glossary of probability and statistics
Notation in probability and statistics
Timeline of probability and statistics
|
https://en.wikipedia.org/wiki/2016%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2016 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Monday 28 December 2015. There were 20 participants.
Statistics
Result
Source:
Referee: Jan Bolt. Starter: Raymond Micka Start: 16:25 hr. Finish: 16:54 hr.
Draw
References
Single Distance Championships
2016 Single Distance
|
https://en.wikipedia.org/wiki/2015%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2015 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 31 October 2014. There were 24 participants.
Statistics
Result
Source:
Referee: Jan Bolt. Starter: Janny Smegen Start: 17.04hr. Finish: 17.39hr.
Draw
References
Single Distance Championships
2015 Single Distance
|
https://en.wikipedia.org/wiki/Go%20Togashi
|
is a Japanese football player who played for Blaublitz Akita.
Club statistics
Updated to 31 December 2022.
References
External links
Profile at Blaublitz Akita
1984 births
Living people
People from Akita (city)
Association football people from Akita Prefecture
Japanese men's footballers
Blaublitz Akita players
Akita FC Cambiare players
Men's association football forwards
|
https://en.wikipedia.org/wiki/2019%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the 2019 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 30 December 2018. There were 24 participants.
Statistics
Result
Source:
Referee: D. Melis. Assistant: F. Zwitser Starter: J. Rosing
Draw
References
Single Distance Championships
2019 Single Distance
|
https://en.wikipedia.org/wiki/2019%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%20500%20m
|
The men's 500 meter at the 2019 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 28 December 2018. There were 22 participants.
Statistics
Result
Source:
Scheidsrechter: D. Melis. Assistant: F. Zwitser Starter: J. Smegen
Start: 18:20 hr. Finish: 18:44 hr
Draw
References
Single Distance Championships
2019 Single Distance
|
https://en.wikipedia.org/wiki/Toshiki%20Mabuchi
|
Toshiki Mabuchi (kanji: 満渕俊樹, hiragana: マブチ トシキ, Mabuchi Toshiki, born in 1950) is a Japanese mathematician, specializing in complex differential geometry and algebraic geometry. In 2006 in Madrid he was an invited speaker at the International Congress of Mathematicians. Mabuchi is known for introducing the Mabuchi functional.
Education and career
In 1972 Mabuchi graduated from the University of Tokyo Faculty of Science and became a graduate student in mathematics at the University of California, Berkeley. There he graduated with a Ph.D. in 1977 with thesis C3-Actions and Algebraic Threefolds with Ample Tangent Bundle and advisor Shoshichi Kobayashi As a postdoc Mabuchi was from 1977 to 1978 a guest researcher at the University of Bonn. Since 1978 he is a faculty member of the Department of Mathematics of Osaka University. His research deals with complex differential geometry, extremal Kähler metrics, stability of algebraic varieties, and the Hitchin–Kobayashi correspondence.
In 2006 Toshiki Mabuchi and Takashi Shioya received the Geometry Prize of the Mathematical Society of Japan.
Research contributions
Mabuchi is well-known for his introduction, in 1986, of the Mabuchi energy, which gives a variational interpretation to the problem of Kähler metrics of constant scalar curvature. In particular, the Mabuchi energy is a real-valued function on a Kähler class whose Euler-Lagrange equation is the constant scalar curvature equation. In the case that the Kähler class represents the first Chern class of the complex manifold, one has a relation to the Kähler-Einstein problem, due to the fact that constant scalar curvature metrics in such a Kähler class must be Kähler-Einstein.
Owing to the second variation formulas for the Mabuchi energy, every critical point is stable. Furthermore, if one integrates a holomorphic vector field and pulls back a given Kähler metric by the corresponding one-parameter family of diffeomorphisms, then the corresponding restriction of the Mabuchi energy is a linear function of one real variable; its derivative is the Futaki invariant discovered a few years earlier by Akito Futaki. The Futaki invariant and Mabuchi energy are fundamental in understanding obstructions to the existence of Kähler metrics which are Einstein or which have constant scalar curvature.
A year later, by use of the -lemma, Mabuchi considered a natural Riemannian metric on a Kähler class, which allowed him to define length, geodesics, and curvature; the sectional curvature of Mabuchi's metric is nonpositive. Along geodesics in the Kähler class, the Mabuchi energy is convex. So the Mabuchi energy has strong variational properties.
Selected publications
Articles
Books
References
Differential geometers
University of Tokyo alumni
University of California, Berkeley alumni
Academic staff of Osaka University
1950 births
Living people
20th-century Japanese mathematicians
21st-century Japanese mathematicians
|
https://en.wikipedia.org/wiki/When%20Topology%20Meets%20Chemistry
|
When Topology Meets Chemistry: A Topological Look At Molecular Chirality is a book in chemical graph theory on the graph-theoretic analysis of chirality in molecular structures. It was written by Erica Flapan, based on a series of lectures she gave in 1996 at the Institut Henri Poincaré, and was published in 2000 by the Cambridge University Press and Mathematical Association of America as the first volume in their shared Outlooks book series.
Topics
A chiral molecule is a molecular structure that is different from its mirror image. This property, while seemingly abstract, can have big consequences in biochemistry, where the shape of molecules is essential to their chemical function, and where a chiral molecule can have very different biological activities from its mirror-image molecule. When Topology Meets Chemistry concerns the mathematical analysis of molecular chirality.
The book has seven chapters, beginning with an introductory overview and ending with a chapter on the chirality of DNA molecules.
Other topics covered through the book include the rigid geometric chirality of tree-like molecular structures such as tartaric acid, and the stronger topological chirality of molecules that cannot be deformed into their mirror image without breaking and re-forming some of their molecular bonds. It discusses results of Flapan and Jonathan Simon on molecules with the molecular structure of Möbius ladders, according to which every embedding of a Möbius ladder with an odd number of rungs is chiral while Möbius ladders with an even number of rungs have achiral embeddings. It uses the symmetries of graphs, in a result that the symmetries of certain graphs can always be extended to topological symmetries of three-dimensional space, from which it follows that non-planar graphs with no self-inverse symmetry are always chiral. It discusses graphs for which every embedding is topologically knotted or linked. And it includes material on the use of knot invariants to detect topological chirality.
Audience and reception
The book is self-contained, and requires only an undergraduate level of mathematics. It includes many exercises, making it suitable for use as a textbook at both the advanced undergraduate and introductory graduate levels. Reviewer Buks van Rensburg describes the book's presentation as "efficient and intuitive", and recommends the book to "every mathematician or chemist interested in the notions of chirality and symmetry".
References
Application-specific graphs
Chirality
Mathematical chemistry
Mathematics books
2000 non-fiction books
|
https://en.wikipedia.org/wiki/2019%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2019 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 30 December 2018. There were 10 participants.
Statistics
Result
Draw
Source:
Referee: D. Melis. Assistant: F. Zwitser Starter: J. Rosing
Start: 20:05 hr. Finish: 21:33 hr.
References
Single Distance Championships
2019 Single Distance
|
https://en.wikipedia.org/wiki/2019%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
|
The men's 5000 meter at the 2019 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 28 December 2018. There were 18 participants.
Statistics
Result
Source:
Referee: D. Melis. Assistant: F. Zwitser Starter: J. Rosing
Start: 20:05 hr. Finish: 21:33 hr.
Draw
References
Single Distance Championships
2019 Single Distance
|
https://en.wikipedia.org/wiki/St%C3%AAnio%20%28footballer%2C%20born%202003%29
|
Stênio Zanetti Toledo (born 5 April 2003), commonly known as Stênio, is a Brazilian footballer who plays as a forward for Cruzeiro.
Career statistics
Club
Notes
References
2003 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Cruzeiro Esporte Clube players
|
https://en.wikipedia.org/wiki/2018%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
|
The men's 5000 meter at the 2018 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Saturday 28 October 2017. There were 20 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Ingrid Heijnsbroek Starter: Alfred van Zwam
Start: 14:05 hr. Finish: 15:43 hr.
Draw
References
Single Distance Championships
2018 Single Distance
|
https://en.wikipedia.org/wiki/Kuraba%20Kondo
|
is a Japanese footballer currently playing as a forward for FC Tokushima.
Career statistics
Club
.
Notes
International Statistics
U17 International caps
U17 International goals
U16 International caps
U16 International goals
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2002 births
Living people
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football forwards
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
Albirex Niigata Singapore FC players
Balestier Khalsa FC players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
|
https://en.wikipedia.org/wiki/2018%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%20500%20m
|
The men's 500 meter at the 2018 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Saturday 28 October 2017. There were 24 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Ingrid Heijnsbroek Starter: André de Vries
Start: 17:13 hr. Finish: 17:41 hr
Draw
References
Single Distance Championships
2018 Single Distance
|
https://en.wikipedia.org/wiki/2018%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the 2018 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 29 October 2017. There were 24 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Ingrid Heijnsbroek Starter: André de Vries
Start: 17:19hr. Finish: 17:47hr.
Draw
References
Single Distance Championships
2018 Single Distance
|
https://en.wikipedia.org/wiki/2018%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2018 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 29 October 2017. There were 12 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Ingrid Heijnsbroek Starter: Alfred van Zwam
Start: 14:31 hr. Finish: 16:14 hr.
Draw
References
Single Distance Championships
2018 Single Distance
|
https://en.wikipedia.org/wiki/Mackey%E2%80%93Glass%20equations
|
In mathematics and mathematical biology, the Mackey–Glass equations, named after Michael Mackey and Leon Glass, refer to a family of delay differential equations whose behaviour manages to mimic both healthy and pathological behaviour in certain biological contexts, controlled by the equation's parameters. Originally, they were used to model the variation in the relative quantity of mature cells in the blood. The equations are defined as:
and
where represents the density of cells over time, and are parameters of the equations.
Equation (), in particular, is notable in dynamical systems since it can result in chaotic attractors with various dimensions.
Introduction
There exist an enormous number of physiological systems that involve or rely on the periodic behaviour of certain subcomponents of the system. For example, many homeostatic processes rely on negative feedback to control the concentration of substances in the blood; breathing, for instance, is promoted by the detection, by the brain, of high CO2 concentration in the blood. One way to model such systems mathematically is with the following simple ordinary differential equation:
where is the rate at which a "substance" is produced, and controls how the current level of the substance discourages the continuation of its production. The solutions of this equation can be found via an integrating factor, and have the form:
where is any initial condition for the initial value problem.
However, the above model assumes that variations in the substance concentration is detected immediately, which often not the case in physiological systems. In order to ease this problem, proposed changing the production rate to a function of the concentration at an earlier point in time, in hope that this would better reflect the fact that there is a significant delay before the bone marrow produces and releases mature cells in the blood, after detecting low cell concentration in the blood. By taking the production rate as being:
we obtain Equations () and (), respectively. The values used by were , and , with initial condition . The value of is not relevant for the purpose of analyzing the dynamics of Equation (), since the change of variable reduces the equation to:
This is why, in this context, plots often place in the -axis.
Dynamical behaviour
It is of interest to study the behaviour of the equation solutions when is varied, since it represents the time taken by the physiological system to react to the concentration variation of a substance. An increase in this delay can be caused by a pathology, which in turn can result in chaotic solutions for the Mackey–Glass equations, especially Equation (). When , we obtain a very regular periodic solution, which can be seen as characterizing "healthy" behaviour; on the other hand, when the solution gets much more erratic.
The Mackey–Glass attractor can be visualized by plotting the pairs . This is somewhat justified because delay different
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https://en.wikipedia.org/wiki/Toshiki%20Toya
|
is a Japanese footballer who plays as a forward for Kochi United SC.
Career statistics
Club
.
Notes
References
External links
Profile at Avispa Fukuoka
1997 births
Living people
Association football people from Kumamoto Prefecture
Chukyo University alumni
Japanese men's footballers
Men's association football forwards
J2 League players
J3 League players
Avispa Fukuoka players
FC Imabari players
|
https://en.wikipedia.org/wiki/2017%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2017 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 30 December 2016. There were 12 participants.
Statistics
Result
Source:
Referee: Dina Melis. Assistant: Loretta Staring Starter: Raymond Micka
Start: 16:12 hr. Finish: 17:56 hr.
Draw
References
Single Distance Championships
2017 Single Distance
|
https://en.wikipedia.org/wiki/Sergei%20Ivanov%20%28mathematician%29
|
Sergei Vladimirovich Ivanov (Сергей Владимирович Иванов; born 31 May 1972) is a leading Russian mathematician working in differential geometry and mathematical physics.
Education and career
For each of the three years, 1987, 1988, and 1989, Ivanov won a gold medal in the International Mathematical Olympiad. He studied at the Saint Petersburg State University, where he received his Ph.D. (Candidate of Sciences) with advisor Yuri Burago. Ivanov has worked for many years at the Steklov Institute of Mathematics. There in 2009 he habilitated (Doktor nauk).
In 2014, he received, jointly with Yuri Burago and Dmitri Burago, the Leroy P. Steele Prize for their book A course in metric geometry published by the American Mathematical Society in 2001.
In addition to his research on differential geometry, Ivanov also works on informatics.
In 2010, in Hyderabad he was an invited speaker with talk Volume comparison via boundary distances at the International Congress of Mathematicians. In December 2011, he was elected a corresponding member of the Russian Academy of Sciences.
Selected publications
References
External links
Homepage at the Steklov Institute
Ivanov, Sergei Vladimirovich; mathnet.ru
20th-century Russian mathematicians
21st-century Russian mathematicians
Geometers
Differential geometers
Saint Petersburg State University alumni
Steklov Institute of Mathematics alumni
Academic staff of the Steklov Institute of Mathematics
1972 births
Living people
|
https://en.wikipedia.org/wiki/2020%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2020 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 29 December 2019. There were 10 participants.
Statistics
Result
Source:
Referee: Hanjo Heideman. Assistant: Wil Schildwacht Starter: Sieme Kok
Start: 14:10 hr. Finish: 15:41 hr.
Draw
References
Single Distance Championships
2020 Single Distance
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https://en.wikipedia.org/wiki/2016%20%28number%29
|
2016 is the natural number following 2015 and preceding 2017.
In mathematics
2016 is a triangular number, being 1 + 2 + 3 + ... + 63. Equivalently, .
2016 is a 24-gonal number and a generalized 28-gonal (icosioctagonal) number .
2016 has 36 divisors.
211 − 25 = 2016.
2016 forms a friendly pair with 360, as and . The number 360 itself is a highly composite number, while 2016, while not highly composite, is highly composite among the positive integers not divisible by five.
2016 × 2 + 1 = 4033. Although 4033 is not prime, as 4033 = 37 × 109, it is a strong pseudoprime to base 2 . Aside from 2016, the only other numbers below 10,000 with this property are 1023, 1638, 2340, 4160, and 7920.
There are 2016 five-cubes in a nine-cube.
2016 is an Erdős–Nicolas number because, while not perfect, 2016 is the sum of its first 31 divisors (up to and including 288).
2016 × 20 = 40,320 = (read as "8 factorial").
is prime. Since 2017 is similarly prime, 201617 + 1 is a semiprime.
Integers
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https://en.wikipedia.org/wiki/1954%E2%80%9355%20Rochdale%20A.F.C.%20season
|
The 1954–55 season saw Rochdale compete for their 27th season in the Football League Third Division North.
Statistics
|}
Final League Table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/William%20B%C3%B8ving
|
William Bøving Vick (born 1 March 2003) is a Danish footballer who plays as a forward for Austrian club SK Sturm Graz.
Career statistics
Club
Honours
Copenhagen
Danish Superliga: 2021–22
Sturm Graz
Austrian Cup: 2022–23
References
External links
2003 births
Living people
Danish men's footballers
Men's association football forwards
Denmark men's youth international footballers
Denmark men's under-21 international footballers
F.C. Copenhagen players
SK Sturm Graz players
Danish Superliga players
Austrian Football Bundesliga players
Danish expatriate men's footballers
Expatriate men's footballers in Austria
Danish expatriate sportspeople in Austria
|
https://en.wikipedia.org/wiki/Japan%20Society%20for%20Industrial%20and%20Applied%20Mathematics
|
Japan Society for Industrial and Applied Mathematics (JSIAM) is a Japanese non-profit organization for the field of applied mathematics. JSIAM is not a branch but a Japanese counterpart of the Society for Industrial and Applied Mathematics (SIAM) based in the United States.
Activities
As same as SIAM, JSIAM publishes academic journals in Japanese and English, hold academic conferences, and give awards to applied mathematicians with JSIAM membership.
English Journals and Publications from JSIAM
SIAM Online Magazine
JJIAM (Japan Journal of Industrial and Applied Mathematics)
JSIAM Letters
Finance
The finance of JSIAM is based on membership fee and support from their corporate sponsors. Their sponsors include Canon, Nissan, NEC, NTT, Hitachi, Fujitsu and Ricoh.
Contributions to EASIAM
EASIAM (East Asia Section of SIAM) aims to advance the studies of applied mathematics in eastern Asia. As part of the Eastern Asian community, JSIAM is partially supporting EASIAM. Within their support, EASIAM is publishing the East Asian Journal of Applied Mathematics from the Global Science Press, and hold the EASIAM conference every year.
ICIAM 2023
JSIAM has announced that they will be organizing the International Congress on Industrial and Applied Mathematics in 2023 with the Mathematical Society of Japan.
Notes
See also
Japan Society for the Promotion of Science
Society for Industrial and Applied Mathematics
Applied mathematics
Non-profit organizations based in Japan
1990 establishments in Japan
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https://en.wikipedia.org/wiki/2016%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2016 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Tuesday 29 December 2015. There were 10 participants.
Statistics
Result
Source:
Referee: Jan Bolt. Starter: Jan Zwier
Begin: 14:15 hr. Finish: 16:19 hr.
Draw
References
Single Distance Championships
2016 Single Distance
|
https://en.wikipedia.org/wiki/Andreas%20Endresen%20%28footballer%29
|
Andreas Endresen (born 21 January 2003) is a Norwegian footballer currently playing as a forward for Jerv.
Career statistics
Club
Notes
References
2003 births
Living people
People from Karmøy
Norwegian men's footballers
Norway men's youth international footballers
Men's association football forwards
Eliteserien players
FK Haugesund players
SK Vard Haugesund players
Footballers from Rogaland
|
https://en.wikipedia.org/wiki/Roberto%20de%20Oliveira%20%28soccer%29
|
Roberto de Oliveira (born September 11, 1955) is a former American soccer player who played for the Detroit Express in the North American Soccer League.
Career statistics
Club
Notes
References
1955 births
Living people
American men's soccer players
Men's association football forwards
Cleveland Cobras players
New York Cosmos (1970–1985) players
Detroit Express players
Los Angeles Aztecs players
American Soccer League (1933–1983) players
North American Soccer League (1968–1984) players
|
https://en.wikipedia.org/wiki/2015%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
|
The men's 10,000 meter at the 2015 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 2 November 2014. There were 14 participants.
Statistics
Result
Source:
Referee: Jan Bolt. Starter: Janny Smegen
Start: 15:09 hr. Finish: 17:47 hr.
Draw
References
Single Distance Championships
2015 Single Distance
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https://en.wikipedia.org/wiki/Milo%C5%A1%20Gordi%C4%87
|
Miloš Gordić (; born 5 March 2000) is a Serbian professional footballer who plays as a goalkeeper for IMT, on loan from Red Star Belgrade.
Career statistics
International
Honours
Club
Red Star Belgrade
Serbian SuperLiga: 2021–22
Serbian Cup: 2021–22
References
External links
2000 births
Living people
Men's association football goalkeepers
Serbian men's footballers
FK Mačva Šabac players
Serbian SuperLiga players
Serbia men's international footballers
Serbia men's under-21 international footballers
Red Star Belgrade footballers
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https://en.wikipedia.org/wiki/2017%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the Dutch Single Distance Championships 2017 took place in Heerenveen at the Thialf ice skating rink on Friday 30 December 2016. There were 22 participants.
Statistics
Result
Source:
Referee: Dina Melis Starter: André de Vries
Start: 19:12 hr. Finish: 19:38 hr.
Draw
References
Single Distance Championships
2017 Single Distance
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https://en.wikipedia.org/wiki/Mazinho%20%28footballer%2C%20born%201989%29
|
José Osmar Ventura da Paz (born 10 November 1989), known by his nickname Mazinho, is a Brazilian footballer who currently plays as a midfielder for Paraná.
Career statistics
Club
Notes
References
1989 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Operário Ferroviário Esporte Clube players
Ipanema Atlético Clube players
Centro Esportivo Olhodagüense players
América Futebol Clube (RN) players
Associação Atlética Coruripe players
Club Sportivo Sergipe players
Agremiação Sportiva Arapiraquense players
Centro Sportivo Alagoano players
Ferroviário Atlético Clube (CE) players
Associação Desportiva São Caetano players
People from Santana do Ipanema
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https://en.wikipedia.org/wiki/Alp%20Eden
|
Osman Alp Eden (born 1958) is a Turkish mathematician, scientist and professor of mathematics. He is a retired member of the Boğaziçi University Mathematics Department in İstanbul, Turkey.
Education
Alp Eden was born in İstanbul in 1958. He finished the high school Robert College of Istanbul in 1976. He graduated from Boğaziçi University Civil Engineering and Mathematics departments in 1981. He received his PhD in Mathematics under the supervision of Ciprian Ilie Foiaș at the Indiana University Bloomington in the United States in 1989.
Academic career
He worked in Arizona State University between 1989-1992. Then he became a full time member of the Department of Mathematics, at Boğaziçi University, Istanbul. In years he served as the chair of the department and the vice-dean of the Faculty of Arts and Sciences. He retired in 2015 and moved to Izmir. He is one of the founders of the Masters program in Financial Engineering at Boğaziçi University. Between 2006-2016 he was a member of the Steering Committee of the Istanbul Center for Mathematical Sciences (IMBM). He served as the Chief Editor of the Turkish Journal of Mathematics. After retirement he served as the Editor of the popular mathematics journal Matematik Dünyası published by the Turkish Mathematical Society (TMD).
He has been an active researcher, having published more than 50 scientific manuscripts with more than 600 citations. In 1995 he was awarded the Science Award for Young Scientists given by the Scientific and Technological Research Council of Turkey (TUBITAK). He was awarded the Boğaziçi University Award for Excellence in Research in 1998 (for young scientists) and again in 2009. A one-day PDE workshop was held in his honor in 2015 by TMD. There is a conjecture in the field of dynamical systems named after Alp Eden.
Visiting positions
He has held visiting positions at the Université de Poitiers, France in 1997 and in 2000. He worked as a researcher numerous times and years in the Feza Gürsey Institute for Basic Sciences at Boğaziçi University.
Research areas
His research interests include non-linear PDEs, dynamical systems, finance mathematics and mathematical modelling.
Representative scientific publications
Book: Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. Exponential attractors for dissipative evolution equations. RAM: Research in Applied Mathematics, 37. Masson, Paris; John Wiley & Sons, Ltd., Chichester, 1994.
Eden, A.; Kalantarov, V. K. The convective Cahn-Hilliard equation. Appl. Math. Lett. 20 (2007), no. 4, 455–461.
Eden, A.; Milani, A. J. "Exponential attractors for extensible beam equations". Nonlinearity 6 (1993), no. 3, 457–479.
Eden, A.; Milani, A. J.; Nicolaenko, B. Finite-dimensional exponential attractors for semilinear wave equations with damping. J. Math. Anal. Appl. 169 (1992), no. 2, 408–419.
Eden, A.; Michaux, B.; Rakotoson, J.-M. Doubly nonlinear parabolic-type equations as dynamical systems. J. Dynam. Differential Equations 3 (
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https://en.wikipedia.org/wiki/2016%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the 2016 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Tuesday 29 December 2015. There were 20 participants.
Statistics
Result
Source:
Referee: Jan Bolt. Starter: Raymond Micka
Start: 17:13 hr. Finish: 17:41 hr
Draw
References
Single Distance Championships
2016 Single Distance
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https://en.wikipedia.org/wiki/2015%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
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The men's 1000 meter at the 2015 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 2 November 2014. There were 24 participants.
Statistics
Result
Source:
<small>Referee: Jan Bolt Starter: Wim van Biezen
Start: 13:26 hr. Finish: 13:57 hr.
Draw
References
Single Distance Championships
2015 Single Distance
|
https://en.wikipedia.org/wiki/2020%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the 2020 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 29 December 2019. There were 22 participants.
Statistics
Result
Source:
Referee: Hanjo Heideman. Assistant: Wil Schildwacht Starter: Janny Smegen
Start: 16:41 hr. Finish: 17:13 hr.
Draw
References
Single Distance Championships
2020 Single Distance
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https://en.wikipedia.org/wiki/Set%20identification
|
In statistics and econometrics, set identification (or partial identification) extends the concept of identifiability (or "point identification") in statistical models to situations where the distribution of observable variables is not informative of the exact value of a parameter, but instead constrains the parameter to lie in a strict subset of the parameter space. Statistical models that are set identified arise in a variety of settings in economics, including game theory and the Rubin causal model.
Though the use of set identification dates to a 1934 article by Ragnar Frisch, the methods were significantly developed and promoted by Charles Manski starting in the 1990s. Manski developed a method of worst-case bounds for accounting for selection bias. Unlike methods that make additional statistical assumptions, such as Heckman correction, the worst-case bounds rely only on the data to generate a range of supported parameter values.
Definition
Let be a statistical model where the parameter space is either finite- or infinite-dimensional. Suppose is the true parameter value. We say that is set identified if there exists such that ; that is, that some parameter values in are not observationally equivalent to . In that case, the identified set is the set of parameter values that are observationally equivalent to .
Example: missing data
This example is due to . Suppose there are two binary random variables, and . The econometrician is interested in . There is a missing data problem, however: can only be observed if .
By the law of total probability,
The only unknown object is , which is constrained to lie between 0 and 1. Therefore, the identified set is
Given the missing data constraint, the econometrician can only say that . This makes use of all available information.
Statistical inference
Set estimation cannot rely on the usual tools for statistical inference developed for point estimation. A literature in statistics and econometrics studies methods for statistical inference in the context of set-identified models, focusing on constructing confidence intervals or confidence regions with appropriate properties. For example, a method developed by (and which describes as complicated) constructs confidence regions that cover the identified set with a given probability.
Notes
References
Further reading
Econometric modeling
Estimation theory
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https://en.wikipedia.org/wiki/Zarija%20Popovi%C4%87
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Zarija R. Popović (Gjilan, 5 February 1856 - Belgrade, August 1934) was a Serbian national and educational worker, writer and head of State Statistics.
In 1870, Popović entered the oldest educational institution in the Belgrade the Saint Sava Seminary, founded in 1808 by the then minister of education Dositej Obradović. He was an excellent theology student, the first among his peers, and in the last year, he has ordained as a celibate priest by Metropolitan Mihailo, who recognized Zarija's natural acuity and intelligence for the teaching profession.
He first taught in his home town of Gjilan from 1874 to 1878 when he welcomed the victorious Serbian army. After the armed forces left Giljan, Popović went with the Serbian army to quell the attacks on the Serbs during the Serbian-Ottoman War in Vranje, where he remained as a teacher, and then as an administrative clerk at the Serbian Orthodox Diocese of Vranje. He was later twice appointed bishop by the Serbian Orthodox Church, to the Metropolitanate of Skopje and the Diocese of Prizren, but both times refused to accept the challenge, preferring to continue teaching instead.
In 1887, he was transferred to Belgrade and the Ministry of Education and the Public Relations Department for Education in Old Serbia and Macedonia. Two years later, when the department was added to the Ministry of Foreign Affairs, Zarija Popović started working at the Светосавсокој вечерњој школи/Svetosavsokoj večernjoj školi, the Saint Sava Evening School until 1912.
Popović wrote several interesting books recalling his time in Old Serbia.
Works
Pred Kosovom
Pripovedke iz Stare Srbije
See also
Jovan Cvijić
Vladan Đorđević
Jovan Hadži-Vasiljević
Ami Boué
Alexander Hilferding
References
Further reading
"ЧИТУЉА ЗАРИЈА ПОПОВИЋ" (Obituary Zarija Popović). In
Serbian educators
19th-century Serbian writers
19th-century male writers
20th-century Serbian writers
1856 births
1934 deaths
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https://en.wikipedia.org/wiki/2017%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
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The men's 5000 meter at the 2017 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Wednesday 28 December 2016. There were 18 participants.
Statistics
Result
Source:
Referee: Dina Melis
Starter: Raymond Micka
Start: 16:35 hr. Finish: 17:59 hr.
Draw
References
Single Distance Championships
2017 Single Distance
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https://en.wikipedia.org/wiki/2016%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
|
The men's 5000 meter at the 2016 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 27 December 2015. There were 18 participants.
Statistics
Result
Source:
Draw
References
Single Distance Championships
2016 Single Distance
|
https://en.wikipedia.org/wiki/2015%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
|
The men's 5000 meter at the 2015 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 31 October 2014. There were 20 participants.
Statistics
Result
Source:
Referee: Jan Bolt Starter: Janny Smegen
Start: 15:13 hr. Finish: 16:51 hr.
Draw
References
Single Distance Championships
2015 Single Distance
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https://en.wikipedia.org/wiki/Mahiro%20Ano
|
is a Japanese footballer currently playing as a midfielder for Fukui United FC on loan from Tokyo Verdy.
Career statistics
Club
.
Notes
References
External links
2003 births
Living people
Association football people from Tochigi Prefecture
Japanese men's footballers
Men's association football midfielders
J2 League players
Tokyo Verdy players
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https://en.wikipedia.org/wiki/Toshiya%20Motozuka
|
is a Japanese footballer currently playing as a midfielder for Zweigen Kanazawa.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Kanazawa Seiryo University alumni
J2 League players
Hokkaido Consadole Sapporo players
Zweigen Kanazawa players
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https://en.wikipedia.org/wiki/Taiki%20Yamada
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is a Japanese footballer who plays as a goalkeeper for club Fagiano Okayama, on loan from Kashima Antlers.
Career statistics
Club
.
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2002 births
Living people
Sportspeople from Chiba Prefecture
Association football people from Chiba Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football goalkeepers
Kashima Antlers players
Fagiano Okayama players
J1 League players
J2 League players
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https://en.wikipedia.org/wiki/Yuta%20Matsumura%20%28footballer%29
|
is a Japanese professional footballer who plays as a winger for club Kashima Antlers.
Career statistics
Club
.
References
External links
Profile at Kashima Antlers
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
Kashima Antlers players
J1 League players
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https://en.wikipedia.org/wiki/Tsuyoshi%20Ogashiwa
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is a Japanese footballer currently playing as a forward for Hokkaido Consadole Sapporo.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Meiji University alumni
Men's association football forwards
Hokkaido Consadole Sapporo players
J1 League players
Universiade medalists in football
FISU World University Games gold medalists for Japan
Medalists at the 2019 Summer Universiade
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https://en.wikipedia.org/wiki/Yusei%20Yashiki
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is a Japanese footballer currently playing as a forward for Oita Trinita.
Career statistics
Club
.
Notes
References
External links
2003 births
Living people
People from Nakatsu, Ōita
Association football people from Ōita Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football forwards
J1 League players
Oita Trinita players
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https://en.wikipedia.org/wiki/Masaki%20Yumiba
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is a Japanese footballer currently playing as a midfielder for Oita Trinita.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Sportspeople from Ōita (city)
Association football people from Ōita Prefecture
Japanese men's footballers
Men's association football midfielders
Oita Trinita players
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https://en.wikipedia.org/wiki/Cleo%20Silva
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Cleone Santos Silva (born 21 November 1989), known by Cleo Silva, is a Brazilian footballer who currently plays as a forward for Novorizontino
Career statistics
Club
Notes
References
1989 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Rio Preto Esporte Clube players
Grêmio de Esportes Maringá players
Foz do Iguaçu Futebol Clube players
Grêmio Novorizontino players
Itumbiara Esporte Clube players
Parauapebas Futebol Clube players
Boa Esporte Clube players
Cuiabá Esporte Clube players
Joinville Esporte Clube players
Botafogo Futebol Clube (SP) players
Luverdense Esporte Clube players
Esporte Clube São Bento players
Operário Ferroviário Esporte Clube players
|
https://en.wikipedia.org/wiki/2020%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%20500%20m
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The men's 500 meter at the 2020 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 27 December 2019. There were 22 participants.
Statistics
Result
Source:
Referee: Hanjo Heideman. Assistant: Wil Schildwacht Starter: Janny Smegen
Start: 18:20 hr. Finish: 18:41 hr
Draw
References
Single Distance Championships
2020 Single Distance
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https://en.wikipedia.org/wiki/Graham%E2%80%93Rothschild%20theorem
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In mathematics, the Graham–Rothschild theorem is a theorem that applies Ramsey theory to combinatorics on words and combinatorial cubes. It is named after Ronald Graham and Bruce Lee Rothschild, who published its proof in 1971. Through the work of Graham, Rothschild, and in 1972, it became part of the foundations of structural Ramsey theory. A special case of the Graham–Rothschild theorem motivates the definition of Graham's number, a number that was popularized by Martin Gardner in Scientific American and listed in the Guinness Book of World Records as the largest number ever appearing in a mathematical proof.
Background
The theorem involves sets of strings, all having the same length , over a finite alphabet, together with a group acting on the alphabet. A combinatorial cube is a subset of strings determined by constraining some positions of the string to contain a fixed letter of the alphabet, and by constraining other pairs of positions to be equal to each other or to be related to each other by the group action. This determination can be specified more formally by means of a labeled parameter word, a string with wildcard characters in the positions that are not constrained to contain a fixed letter and with additional labels describing which wildcard characters must be equal or related by the group action. The dimension of the combinatorial cube is the number of free choices that can be made for these wildcard characters. A combinatorial cube of dimension one is called a combinatorial line.
For instance, in the game of tic-tac-toe, the nine cells of a tic-tac-toe board can be specified by strings of length two over the three-symbol alphabet {1,2,3} (the Cartesian coordinates of the cells), and the winning lines of three cells form combinatorial lines. Horizontal lines are obtained by fixing the -coordinate (the second position of the length-two string) and letting the -coordinate be chosen freely, and vertical lines are obtained by fixing the -coordinate and letting the -coordinate be chosen freely. The two diagonal lines of the tic-tac-toe board can be specified by a parameter word with two wildcard characters that are either constrained to be equal (for the main diagonal) or constrained to be related by a group action that swaps the 1 and 3 characters (for the antidiagonal).
The set of all combinatorial cubes of dimension , for strings of length over an alphabet with group action , is denoted . A subcube of a combinatorial cube is another combinatorial cube of smaller dimension that forms a subset of the set of strings in the larger combinatorial cube. The subcubes of a combinatorial cube can also be described by a natural composition action on parameter words, obtained by substituting the symbols of one parameter word for the wildcards of another.
Statement
With the notation above, the Graham–Rothschild theorem takes as parameters an alphabet , group action , finite number of colors , and two dimensions of combinatorial cubes and
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https://en.wikipedia.org/wiki/Amaury%20Garc%C3%ADa%20%28footballer%29
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Amaury García Moreno (born 19 December 2001) is a Mexican professional footballer who plays as a midfielder for Liga MX club UNAM.
Career statistics
Club
References
External links
Living people
2001 births
Mexican men's footballers
Men's association football midfielders
Club Universidad Nacional footballers
Liga MX players
Footballers from Mexico City
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https://en.wikipedia.org/wiki/Riquelmo
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Riquelmo Alves Lima (born 19 March 2002), commonly known as Riquelmo, is a Brazilian footballer who currently plays as a forward for Confiança.
Career statistics
Club
Notes
References
2002 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Cruzeiro Esporte Clube players
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https://en.wikipedia.org/wiki/Lucas%20Mendes%20%28footballer%2C%20born%201991%29
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Lucas Pereira Mendes (born 28 February 1991), known as Lucas Mendes, is a Brazilian footballer who currently plays as a right back for Operário-PR, on loan from Ferroviária
Career statistics
Club
Notes
References
1991 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Esporte Clube Bahia players
Oeste Futebol Clube players
Olaria Atlético Clube players
Luverdense Esporte Clube players
Esporte Clube Ypiranga players
Sport Club Santa Rita players
Serrano Sport Club players
Botafogo Futebol Clube (PB) players
Estanciano Esporte Clube players
FC Atlético Cearense players
Iporá Esporte Clube players
Associação Atlética Anapolina players
Concórdia Atlético Clube players
Associação Desportiva São Caetano players
Associação Ferroviária de Esportes players
Sportspeople from Feira de Santana
Footballers from Bahia
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https://en.wikipedia.org/wiki/The%20Man%20in%20the%20Tree
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The Man in the Tree is a novel by Damon Knight published in 1984.
Plot summary
The Man in the Tree is a novel in which a giant can twist probability worlds, duplicating anything by borrowing another world's copy.
Reception
Dave Langford reviewed The Man in the Tree for White Dwarf #67, and stated that "Nicely written, but it provokes nagging questions. Why giantism and psychic power when either alone could carry the novel? Why such uninspired use of the hero's special talent (which tends to boil down to routine healings and conjuring)? Why, with an intelligent enemy hot on his trail, does he go on public view as a giant in a carnival? These are deep waters, Watson."
Reviews
Review by Debbie Notkin (1983) in Locus, #275 December 1983
Review by Jackson Houser (1984) in Fantasy Review, #64 January 1984
Review by Algis Budrys (1984) in The Magazine of Fantasy & Science Fiction, May 1984
Review by Tom Easton (1984) in Analog Science Fiction/Science Fact, May 1984
Review by PhullisJ. Day (1984) in Fantasy Review, July 1984
Review by Gregory Feeley (1984) in Foundation, #31 July 1984
Review by Robert Coulson (1984) in Amazing Stories, September 1984
Review by C. J. Henderson (1984) in Whispers #21-22, December 1984
Review by Chris Bailey (1985) in Vector 127
References
1984 American novels
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https://en.wikipedia.org/wiki/Ivan%20Panin%20%28mathematician%29
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Ivan Aleksandrovich Panin (Иван Александрович Панин, born 2 July 1959 in Apatity, Russia) is a Russian mathematician, specializing in algebra, algebraic geometry, and algebraic K-theory.
Education and career
In 1973 he entered boarding school at D. K. Faddeev Academic Gymnasium and graduated there in 1976 There he graduated in 1981 from the Faculty of Mathematics and Mechanics of Saint Petersburg State University. At the St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences (abbreviated ПОМИ им. В. А. Стеклова РАН in Russian), he defended in 1984 his thesis for the degree of candidate of physical and mathematical sciences (Ph.D.) with supervisor Andrei Suslin and then became employed there as a staff member. Panin received in 1996 the degree of Doctor nauk from the St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences. There in 1999 he became the head of the laboratory of algebra and number theory. In 2003 he was elected a corresponding member of the Russian Academy of Sciences in the Department of Mathematical Sciences. In 2018 in Rio de Janeiro he was an invited speaker at the International Congress of Mathematicians.
Research
The main directions of I. A. Panin's work are the theory of oriented cohomology on algebraic varieties, algebraic K-theory of homogeneous varieties, Gersten's conjecture, the Grothendieck-Serre conjecture on principal G-bundles, and purity in algebraic geometry.
I. A. Panin proved (together with A. L. Smirnov) theorems of the Riemann-Roch type for oriented cohomology theories and Riemann-Roch type theorems for the Adams operation. Panin found a proof of Gersten's conjecture in the case of equal characteristic and an affirmative solution (jointly with Manuel Ojanguren) of the "purity" problem for quadratic forms.
Panin computed the algebraic K-groups of all twisted forms of flag varieties and all principal homogeneous spaces over the inner forms of semisimple algebraic groups. He, jointly with A. S. Merkurjev and A. R. Wadsworth, generalized, to arbitrary Borel varieties, results proved by David Tao concerning index reduction formulas for the function fields of involution varieties.
Selected publications
References
External links
Algebraic geometers
1959 births
Living people
Saint Petersburg State University alumni
Steklov Institute of Mathematics alumni
Academic staff of the Steklov Institute of Mathematics
20th-century Russian mathematicians
21st-century Russian mathematicians
People from Apatity
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https://en.wikipedia.org/wiki/Journey%20into%20Geometries
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Journey into Geometries is a book on non-Euclidean geometry. It was written by Hungarian-Australian mathematician Márta Svéd, and published in 1991 by the Mathematical Association of America in their MAA Spectrum book series.
Topics
Journey into Geometries is written as a conversation between three characters: Alice, from Alice's Adventures in Wonderland (but older and familiar with Euclidean geometry), Lewis Carroll, the author of Alice's adventures, and a modern mathematician named "Dr. Whatif". Its topics include hyperbolic geometry, inversive geometry, and projective geometry, following an arrangement of these topics credited to Australian mathematician Carl Moppert, and possibly based on an earlier German-language textbook on similar topics by F. Gonseth and P. Marti.
As in Alice's original adventures, the first part of the book is arranged as a travelogue. This part of the book has six chapters, each ending with a set of exercises. Following these chapters, more conventionally written material covers geometric axiom systems and provides solutions to the exercises.
Audience and reception
Reviewer William E. Fenton is unsure of the audience of the book, writing that it is not suitable as a textbook and would scare most undergraduates, but is too unserious for graduate students. David A. Thomas identifies the audience as "people who like to play with mathematical ideas".
Fenton criticizes the book's style as a little too glib and lead-footed, and its illustrations as amateurish. H. W. Guggenheimer faults the treatment of projective geometry as "rather sketchy". Nevertheless Fenton writes that he found the book engrossing and well-organized, particularly praising its exercises. Both Fenton and Guggenheimer recommend the book to talented students of mathematics, and both Fenton and David A. Thomas suggest it as auxiliary reading for geometry courses.
References
External links
Journey into Geometries on the Internet Archive
Non-Euclidean geometry
Mathematics books
1991 non-fiction books
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https://en.wikipedia.org/wiki/Integrable%20module
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In algebra, an integrable module (or integrable representation) of a Kac–Moody algebra (a certain infinite-dimensional Lie algebra) is a representation of such that (1) it is a sum of weight spaces and (2) the Chevalley generators of are locally nilpotent. For example, the adjoint representation of a Kac–Moody algebra is integrable.
References
External links
Algebra
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https://en.wikipedia.org/wiki/Alexander%20Gamburd
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Alexander Gamburd is a mathematician at the Graduate Center of the City University of New York known for his work in spectral problems in number theory, probability, and Arithmetic combinatorics. He is a Presidential Professor of Mathematics at the CUNY Graduate Center.
Life and career
Gamburd earned his B.S degree in mathematics from the Massachusetts Institute of Technology in 1993. He received his M.A. (1994) and Ph.D. (1999) from Princeton University, where his advisor was Peter Sarnak. In 2004, Gamburd became assistant professor of mathematics at the University of California, Santa Cruz and was promoted to full professor in 2008. He was a visiting scholar at the Institute for Advanced Study from 2005 to 2006 and from 2007 to 2008. In 2011, Gamburd joined the faculty of the CUNY Graduate Center as Presidential Professor of Mathematics.
Awards and honors
In 2007, Gamburd received a Sloan Research Fellowship.
In 2007, he received an NSF CAREER Award.
In 2008, he won a Presidential Early Career Award.
Selected publications
Bourgain, Jean; Gamburd, Alexander. "Uniform expansion bounds for Cayley graphs of SL2(Fp)". Annals of Mathematics 167 (2008), pages 625-642. MR 2415383
Breuillard, Emmanuel; Gamburd, Alexander. "Strong uniform expansion in SL(2,p)". Geometric and Functional Analysis 20 (2010), number 5, pages 1201-1209. MR 2746951
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter. "Generalization of Selberg's 3/16 theorem and affine sieve". Acta Mathematica 207 (2011), number 2, pages 255–290. MR 2892611
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter. "Markoff triples and strong approximation". Comptes Rendus Mathématique. Académie des Sciences. Paris 354 (2016), number 2, pages 131-135. MR 3456887
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
Massachusetts Institute of Technology School of Science alumni
Princeton University alumni
Institute for Advanced Study visiting scholars
CUNY Graduate Center faculty
Sloan Research Fellows
Mathematicians from New York (state)
Recipients of the Presidential Early Career Award for Scientists and Engineers
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https://en.wikipedia.org/wiki/Cunani%2C%20Cal%C3%A7oene
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Cunani (also Counani) is a district in the Brazilian municipality of Calçoene, in the interior of the state of Amapá. According to the Brazilian Institute of Geography and Statistics (IBGE), its population in 2010 was 940 inhabitants, 516 men and 424 women, with a total of 343 private households. Cunani is a recognised Quilombo (escaped slaves) settlement. It was also the capital of two unrecognised countries.
History
The dispute between France and Brazil about the region between the Oiapoque and the Amazon River in the 19th century attracted escaped Brazilian slaves to the region. The Quilombo were joined by French and Brazilian traders and adventurers. Between 1886 and 1891, the town of Cunani was the capital of the unrecognised Republic of Independent Guiana, In 1900, the territory was awarded to Brazil. Not withstanding that fact, Cunani became the capital of the unrecognised Free State of Counani between 1901 and 1904.
In the 20th century, Brazilian migrants settled in Cunani, and the economy of the village was mainly based on fur trade, fishing and supplying the garimpeiro (illegal gold prospectors) who were active in the area. The opening of BR-156 in the early 1970s resulted in a migration to Calçoene. The restricting of access to the Cunani River accelerated the decline. Açaí became the main export product for the village.
In 2015, Cunani was recognised as a Quilombo settlement inhabited by Brazilian Maroons, and has been given its own territory similar to the indigenous territories.
Climate
Cunani has a tropical monsoon climate (Am) with moderate to little rainfall from August to November and heavy to very heavy rainfall in the remaining months.
References
Bibliography
Capitals of former nations
Quilombo
Populated places in Amapá
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https://en.wikipedia.org/wiki/Michael%20Handel
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Michael Handel is an American mathematician known for his work in Geometric group theory. He is a Professor in the Department of Mathematics at Lehman College of The City University of New York and a Professor of Mathematics at The Graduate Center of The City University of New York.
Career
Michael Handel graduated with a B.A. in mathematics from Brandeis University in 1971. He received his Ph.D. from University of California, Berkeley in 1975 under the supervision of Robion Kirby. From 1975 to 1978, he was an instructor at Princeton University. He joined the faculty of Michigan State University as an Assistant Professor in 1978, and was promoted to Associate Professor in 1983. Handel was a visiting scholar at the Institute for Advanced Study from 1978 to 1979, and again from 1987 to 1988. In 1990, he joined the Mathematics Department at Lehman College.
Handel is best known for developing the Train track map method in Geometric group theory in collaboration with Mladen Bestvina in 1992. Bestvina, Feighn and Handel later proved that the group Out(Fn) satisfies the Tits alternative, settling a long-standing open problem.
Awards and honors
In 1984, Handel won a Sloan Research Fellowship.
In 2014, he became a fellow of the American Mathematical Society.
Selected publications
Handel, Michael. "One Dimensional Minimal Sets and the Seifert Conjecture ". Annals of Mathematics (2) 111 (1980), no. 1, 35-66. DOI:10.2307/1971216
Feighn, Mark; Handel, Michael. "Mapping tori of free group automorphisms are coherent". Annals of Mathematics (2) 149 (1999), no. 3, 1061–1077. MR 1709311
Bestvina, Mladen; Feighn, Mark; Handel, Michael. The Tits alternative for Out(Fn). I. Dynamics of exponentially-growing automorphisms. Annals of Mathematics (2), vol. 151 (2000), no. 2, pp. 517–623
Bestvina, Mladen; Feighn, Mark; Handel, Michael. The Tits alternative for Out(Fn). II. A Kolchin type theorem. Annals of Mathematics (2), vol. 161 (2005), no. 1, pp. 1–59 MR 2150382
Handel, Michael; Mosher, Lee. "The free splitting complex of a free group, I: hyperbolicity". Geometry & Topology 17 (2013), no. 3, 1581–1672. MR 3073931
See also
Out(Fn)
Train track map
Pseudo-Anosov map
References
External links
Department of Mathematics - Faculty - Lehman College
Instituto de Matemática Interdisciplinar
University of California, Berkeley alumni
Living people
20th-century American mathematicians
21st-century American mathematicians
Fellows of the American Mathematical Society
Institute for Advanced Study visiting scholars
Lehman College faculty
CUNY Graduate Center faculty
City University of New York faculty
Mathematicians from New York (state)
Year of birth missing (living people)
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https://en.wikipedia.org/wiki/Almog%20Ohayon
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Almog Ohayon (; born 5 August 1994) is an Israeli professional footballer who plays as a defensive midfielder for Israeli Liga Leumit club Hapoel Kfar Saba.
Career statistics
Club
Notes
References
External links
1994 births
Living people
Israeli men's footballers
Maccabi Ironi Kiryat Ata F.C. players
Hapoel Haifa F.C. players
Maccabi Petah Tikva F.C. players
Ironi Tiberias F.C. players
Hapoel Beit She'an F.C. players
Hapoel Ironi Baqa al-Gharbiyye F.C. players
Hapoel Kfar Saba F.C. players
Hapoel Kfar Shalem F.C. players
Hapoel Petah Tikva F.C. players
Lori FC players
Ironi Nesher F.C. players
Israeli Premier League players
Liga Leumit players
Armenian Premier League players
Israeli expatriate men's footballers
Expatriate men's footballers in Armenia
Israeli expatriate sportspeople in Armenia
Men's association football midfielders
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https://en.wikipedia.org/wiki/Idan%20Golan
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Idan Golan (; born 29 February 1996) is an Israeli footballer who plays for Romanian Liga II club Gloria Buzău.
Career statistics
Club
Notes
Honours
Club
Hapoel Haifa
Israel State Cup: 2017–18
Voluntari
Cupa României runner-up: 2021–22
References
1996 births
Living people
Israeli men's footballers
Israeli people of French descent
Hapoel Haifa F.C. players
Hapoel Ramat Gan Givatayim F.C. players
Hapoel Nof HaGalil F.C. players
FC Universitatea Cluj players
FC Voluntari players
FC Gloria Buzău players
Ironi Tiberias F.C. players
Israeli Premier League players
Liga Leumit players
Liga I players
Liga II players
People from Ramat Yishay
Footballers from Northern District (Israel)
Expatriate men's footballers in Romania
Israeli expatriate sportspeople in Romania
Men's association football forwards
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https://en.wikipedia.org/wiki/Wojciech%20Muzyk
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Wojciech Muzyk (born 7 November 1998) is a Polish professional footballer who plays as a goalkeeper for Siarka Tarnobrzeg.
Career statistics
Club
Honours
Legia Warsaw
Ekstraklasa: 2019–20
References
1998 births
People from Suwałki
Footballers from Podlaskie Voivodeship
Living people
Polish men's footballers
Men's association football goalkeepers
Legia Warsaw II players
Legia Warsaw players
Olimpia Grudziądz players
Siarka Tarnobrzeg players
Ekstraklasa players
I liga players
II liga players
III liga players
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https://en.wikipedia.org/wiki/Rob%20Schneiderman%20%28mathematician%29
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Robert Roland "Rob" Schneiderman (born June 21, 1957) is an American jazz pianist who also works as a professor of mathematics at Lehman College of the City University of New York, where he specializes in geometric topology.
Music career
Schneiderman's professional jazz career began in San Diego from about age 16, when he played piano for visiting soloists such as Eddie Harris, Sonny Stitt, Harold Land, Charles McPherson and Peter Sprague. He continued to collaborate intermittently with Harris, until the latter's death in 1996, and with McPherson. In 1982, Schneiderman moved to New York, where he performed and toured with such musicians as J.J. Johnson, Chet Baker, Art Farmer, Clifford Jordan, James Moody and Zoot Sims. A performance fellowship from the National Endowment for the Arts in 1987 featured Schneiderman with George Coleman, Jimmy Heath, Claudio Roditi, and Slide Hampton. The collaboration with Slide Hampton resulted in his debut album New Outlook, the first of ten recordings to date as a leader for the Reservoir music label.
His most recent release, entitled Tone Twister, is a collaboration with Brian Lynch on trumpet and Ralph Moore on tenor saxophone. The album features Gerald L. Cannon on bass and Pete Van Nostrand on drums. Schneiderman has also played as sidemen for Billy Higgins, Rufus Reid, Brian Lynch, Ralph Moore, Peter Washington, Lewis Nash, Akira Tana, Billy Hart, Gary Smulyan and Ben Riley.
As a jazz educator, he has been in residence at the Stanford Jazz Workshop. He was previously an adjunct professor in the jazz departments of the William Paterson University (with Rufus Reid) and Queens College (with Jimmy Heath). He has also been on the faculty of the Jazzschool in Berkeley, California.
Education and academic career
Schneiderman graduated with a B.A. in mathematics from City College of New York in 1994. He received his Ph.D. from University of California, Berkeley in 2001 under the supervision of Robion Kirby. In 2006, Schneiderman became an assistant professor at the Department of Mathematics Lehman College after stints at the University of California, San Diego, Courant Institute of Mathematical Sciences, New York University, and at the University of Pennsylvania. From 2013, he has been an associate professor at Lehman College. He has also served as chair of the Mathematics Department since 2019.
Schneiderman also actively works at the interface of music and mathematics.
Discography
As Leader
As Sideman
with Eddie Harris
1983: Tale of Two Cities (Night Records)
with J.J. Johnson
1992: Vivian (Concord)
with Brian Lynch
2011: Unsung Heroes Vol. 1 (Hollistic MusicWorks)
2013: Unsung Heroes, Vol. 2 (CD Baby)
with Rufus Reid and Harold Land
1989: Corridor to the Limits (Sunnyside)
with Akira Tana and Rufus Reid
1991: Yours and Mine (Concord)
1992: Passing Thoughts (Concord)
1994: Blue Motion (Evidence)
References
External links
Official website
Publications by Rob Schneiderman
Home page at Lehman Co
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https://en.wikipedia.org/wiki/Quadric%20%28algebraic%20geometry%29
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In mathematics, a quadric or quadric hypersurface is the subspace of N-dimensional space defined by a polynomial equation of degree 2 over a field. Quadrics are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space. An example is the quadric surface
in projective space over the complex numbers C. A quadric has a natural action of the orthogonal group, and so the study of quadrics can be considered as a descendant of Euclidean geometry.
Many properties of quadrics hold more generally for projective homogeneous varieties. Another generalization of quadrics is provided by Fano varieties.
Property of quadric
By definition, a quadric X of dimension n over a field k is the subspace of defined by q = 0, where q is a nonzero homogeneous polynomial of degree 2 over k in variables . (A homogeneous polynomial is also called a form, and so q may be called a quadratic form.) If q is the product of two linear forms, then X is the union of two hyperplanes. It is common to assume that and q is irreducible, which excludes that special case.
Here algebraic varieties over a field k are considered as a special class of schemes over k. When k is algebraically closed, one can also think of a projective variety in a more elementary way, as a subset of defined by homogeneous polynomial equations with coefficients in k.
If q can be written (after some linear change of coordinates) as a polynomial in a proper subset of the variables, then X is the projective cone over a lower-dimensional quadric. It is reasonable to focus attention on the case where X is not a cone. For k of characteristic not 2, X is not a cone if and only if X is smooth over k. When k has characteristic not 2, smoothness of a quadric is also equivalent to the Hessian matrix of q having nonzero determinant, or to the associated bilinear form b(x,y) = q(x+y) – q(x) – q(y) being nondegenerate. In general, for k of characteristic not 2, the rank of a quadric means the rank of the Hessian matrix. A quadric of rank r is an iterated cone over a smooth quadric of dimension r − 2.
It is a fundamental result that a smooth quadric over a field k is rational over k if and only if X has a k-rational point. That is, if there is a solution of the equation q = 0 of the form with in k, not all zero (hence corresponding to a point in projective space), then there is a one-to-one correspondence defined by rational functions over k between minus a lower-dimensional subset and X minus a lower-dimensional subset. For example, if k is infinite, it follows that if X has one k-rational point then it has infinitely many. This equivalence is proved by stereographic projection. In particular, every quadric over an algebraically closed field is rational.
A quadric over a field k is called isotropic if it has a k-rational point. An example of an anisotropic quadric is the quadric
in projective space over the real numbers R.
Linear subspaces of qu
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https://en.wikipedia.org/wiki/Ana%20Fern%C3%A1ndez%20Militino
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Ana María Fernández Militino is a Spanish spatial statistician. She is a professor of statistics and operations research at the Public University of Navarre. Despite the usual conventions for Spanish surnames, her English-language publications list her name as "Ana F. Militino".
Education and career
Militino studied mathematics at the University of Zaragoza from 1976 to 1981, and completed a doctorate in statistics in 1984 at the University of Extremadura. After several years of work as a public administrator, she became a professor at the Public University of Navarre in 1990.
Books
Militino is the coauthor, with Alan T. Arnholt and María Dolores Ugarte, of the book Probability and Statistics with R (Chapman & Hall / CRC, 2008), and is the author of several other statistics textbooks.
Recognition
In 2010 the International Association for Mathematical Geosciences gave Militino their John Cedric Griffiths Teaching Award.
References
External links
Home page
Year of birth missing (living people)
Living people
Spanish statisticians
Women statisticians
Geostatistics
University of Zaragoza alumni
University of Extremadura alumni
Academic staff of the Public University of Navarre
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https://en.wikipedia.org/wiki/He%20Xuhua
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Xuhua He (, born 1979) is a Chinese mathematician.
Education and career
In 2001, He graduated with a bachelor's degree in mathematics from Peking University. In 2005 he received his PhD from Massachusetts Institute of Technology (MIT) with thesis Some subvarieties of the De Concini-Procesi compactification and advisor George Lusztig. As a postdoc research fellow, He was at the Institute for Advanced Study for the academic year 2005–2006 and Simons Instructor at the State University of New York at Stony Brook from 2006 to 2008. At Hong Kong University of Science and Technology he was an assistant professor from 2008 to 2012 and an associate professor from 2012 to 2014. From 2014 to 2019 he was a professor at the University of Maryland. In 2019 he became the Choh-Ming Li Professor of Mathematics at the Chinese University of Hong Kong.
For the academic year 2016–2017, He was a von Neumann Fellow at the Institute for Advanced Study. In 2017 he was a Simons Visiting Professor at the Université Sorbonne Paris Nord (Paris 13 University).
In 1996, He won a gold medal at the International Mathematical Olympiad. In 2013 he received the Morningside Medal in gold. In 2018 in Rio de Janeiro he was an invited speaker with talk Some results on affine Deligne-Lusztig varieties at the International Congress of Mathematicians.
Selected publications
References
External links
(with links to selected papers/preprints)
1979 births
Living people
20th-century Chinese mathematicians
21st-century Chinese mathematicians
Academic staff of the Hong Kong University of Science and Technology
Algebraic geometers
Chinese expatriates in Hong Kong
Chinese expatriates in the United States
Chinese University of Hong Kong people
Massachusetts Institute of Technology alumni
Peking University alumni
University System of Maryland faculty
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https://en.wikipedia.org/wiki/Hossam%20Ashraf
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Hossam Ashraf (; born 20 June 2001) is an Egyptian professional footballer who plays as a forward for Egyptian League club Zamalek.
Career statistics
References
External links
Living people
2001 births
Egyptian men's footballers
Men's association football forwards
Zamalek SC players
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https://en.wikipedia.org/wiki/Lectures%20in%20Geometric%20Combinatorics
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Lectures in Geometric Combinatorics is a textbook on polyhedral combinatorics. It was written by Rekha R. Thomas, based on a course given by Thomas at the 2004 Park City Mathematics Institute, and published by the American Mathematical Society and Institute for Advanced Study in 2006, as volume 33 of their Student Mathematical Library book series.
Topics
The 14 chapters of the book can be grouped into two parts, with the first 2/3 of the book concerning the combinatorial properties of convex polytopes and the remainder connecting these topics to abstract algebra.
The topics covered include Schlegel diagrams and Gale diagrams, irrational polytopes, point set triangulations, regular triangulations and their polyhedral representation by secondary polytopes, the permutohedron as an example of a secondary polytope, Gröbner bases, toric ideals, and toric varieties, and the connections between Gröbner bases of toric ideals and regular triangulations of points.
Audience and reception
Although originally presented as an advanced undergraduate course, the book is also suitable for graduate students and for researchers interested in beginning work in this area. It requires only an undergraduate level of background material in mathematics (particularly linear algebra), and includes exercises making it suitable as a textbook. Reviewers Miklós Bóna and Alexander Zvonkin suggest it as a "quick introduction" to its topics, after which other books on the same topics can provide greater depth.
See also
List of books about polyhedra
References
Polyhedral combinatorics
Mathematics textbooks
2006 non-fiction books
Books of lectures
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https://en.wikipedia.org/wiki/Josu%C3%A9%20Reyes
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Josué Emmanuel Reyes Santacruz (born 10 December 1997) is a Mexican professional footballer who plays as a centre-back for Liga de Expansión MX club Sonora.
Career statistics
Club
Honours
Cruz Azul
Liga MX: Guardianes 2021
Leagues Cup: 2019
Campeón de Campeones: 2021
References
External links
1997 births
Living people
Men's association football defenders
Cruz Azul footballers
Footballers from Sonora
Mexican men's footballers
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https://en.wikipedia.org/wiki/Leavitt%20path%20algebra
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In mathematics, a Leavitt path algebra is a universal algebra constructed from a directed graph. Leavitt path algebras generalize Leavitt algebras and may be considered as algebraic analogues of graph C*-algebras.
History
Leavitt path algebras were simultaneously introduced in 2005 by Gene Abrams and Gonzalo Aranda Pino as well as by Pere Ara, María Moreno, and Enrique Pardo, with neither of the two groups aware of the other's work. Leavitt path algebras have been investigated by dozens of mathematicians since their introduction, and in 2020 Leavitt path algebras were added to the Mathematics Subject Classification with code 16S88 under the general discipline of Associative Rings and Algebras.
The basic reference is the book Leavitt Path Algebras.
Graph terminology
The theory of Leavitt path algebras uses terminology for graphs similar to that of C*-algebraists, which differs slightly from that used by graph theorists. The term graph is typically taken to mean a directed graph consisting of a countable set of vertices , a countable set of edges , and maps identifying the range and source of each edge, respectively. A vertex is called a sink when ; i.e., there are no edges in with source . A vertex is called an infinite emitter when is infinite; i.e., there are infinitely many edges in with source . A vertex is called a singular vertex if it is either a sink or an infinite emitter, and a vertex is called a regular vertex if it is not a singular vertex. Note that a vertex is regular if and only if the number of edges in with source is finite and nonzero. A graph is called row-finite if it has no infinite emitters; i.e., if every vertex is either a regular vertex or a sink.
A path is a finite sequence of edges with for all . An infinite path is a countably infinite sequence of edges with for all . A cycle is a path with , and an exit for a cycle is an edge such that and for some . A cycle is called a simple cycle if for all .
The following are two important graph conditions that arise in the study of Leavitt path algebras.
Condition (L): Every cycle in the graph has an exit.
Condition (K): There is no vertex in the graph that is on exactly one simple cycle. Equivalently, a graph satisfies Condition (K) if and only if each vertex in the graph is either on no cycles or on two or more simple cycles.
The Cuntz–Krieger relations and the universal property
Fix a field . A Cuntz–Krieger -family is a collection in a -algebra such that the following three relations (called the Cuntz–Krieger relations) are satisfied:
(CK0) for all ,
(CK1) for all ,
(CK2) whenever is a regular vertex, and
(CK3) for all .
The Leavitt path algebra corresponding to , denoted by , is defined to be the -algebra generated by a Cuntz–Krieger -family that is universal in the sense that whenever is a Cuntz–Krieger -family in a -algebra there exists a -algebra homomorphism with for all , for all , and for all .
We define
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https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Australia
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This article includes detailed statistics of the COVID-19 pandemic in Australia.
Summary
Cases
The numbers of cases in the charts below referred to the number of cases at the end of each day (23:59 AEDT) until 4 April 2020. Since 5 April 2020, the federal government standardised the daily case number release time to 15:00 AEST which has been reflected in the data.
This data has been compiled by recording the daily values from the infographic available under "Current Status" on the Australian Government's Department of Health website. Under National Notifiable Diseases Surveillance System reporting requirements, cases are reported based on their Australian jurisdiction of residence rather than where they were detected.
Cumulative cases
Daily confirmed cases
Active cases
As of 12 October 2021, there were 26,448 estimated active cases of COVID-19 in Australia. A case is considered active if a person who was COVID-19 positive but has yet to be classified as recovered and has not died. The chart below tracks active cases since 5 April 2020, when the Federal Government began reporting nationwide recovery data. However, since 20 July 2020, the Federal Government began reporting official estimation of nationwide active cases and this has been reflected in the chart.
Clusters
The largest cluster in Australia from the start of the pandemic until 5 November 2021, when Australia reached its 80 percent vaccination target and entered the consolidation phase of its COVID-19 transition plan, was the Flemington/North Melbourne public housing cluster with 310 cases. The deadliest cluster in Australia was at St Basil's Homes for the Aged in Victoria, where 45 residents died.
Deaths
As of 12 October 2021, officially 1,461 people linked to COVID-19 have died in Australia. At least 753 deaths were residents in aged care facilities, and at least 29 deaths had been passengers or crew on cruise ships.
Cases and deaths by age group and gender
The following table represents the number of cases and deaths for each age group and gender as of 29 December 2021. The data is sourced from the National Notifiable Diseases Surveillance System (NNDSS) and the Federal Government.
References
COVID-19 pandemic in Australia
Australia
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https://en.wikipedia.org/wiki/Ultragraph%20C%2A-algebra
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In mathematics, an ultragraph C*-algebra is a universal C*-algebra generated by partial isometries on a collection of Hilbert spaces constructed from ultragraphs.pp. 6-7. These C*-algebras were created in order to simultaneously generalize the classes of graph C*-algebras and Exel–Laca algebras, giving a unified framework for studying these objects. This is because every graph can be encoded as an ultragraph, and similarly, every infinite graph giving an Exel-Laca algebras can also be encoded as an ultragraph.
Definitions
Ultragraphs
An ultragraph consists of a set of vertices , a set of edges , a source map , and a range map taking values in the power set collection of nonempty subsets of the vertex set. A directed graph is the special case of an ultragraph in which the range of each edge is a singleton, and ultragraphs may be thought of as generalized directed graph in which each edges starts at a single vertex and points to a nonempty subset of vertices.
Example
An easy way to visualize an ultragraph is to consider a directed graph with a set of labelled vertices, where each label corresponds to a subset in the image of an element of the range map. For example, given an ultragraph with vertices and edge labels, with source an range mapscan be visualized as the image on the right.
Ultragraph algebras
Given an ultragraph , we define to be the smallest subset of containing the singleton sets , containing the range sets , and closed under intersections, unions, and relative complements. A Cuntz–Krieger -family is a collection of projections together with a collection of partial isometries with mutually orthogonal ranges satisfying
, , for all ,
for all ,
whenever is a vertex that emits a finite number of edges, and
for all .
The ultragraph C*-algebra is the universal C*-algebra generated by a Cuntz–Krieger -family.
Properties
Every graph C*-algebra is seen to be an ultragraph algebra by simply considering the graph as a special case of an ultragraph, and realizing that is the collection of all finite subsets of and for each . Every Exel–Laca algebras is also an ultragraph C*-algebra: If is an infinite square matrix with index set and entries in , one can define an ultragraph by , , , and . It can be shown that is isomorphic to the Exel–Laca algebra .
Ultragraph C*-algebras are useful tools for studying both graph C*-algebras and Exel–Laca algebras. Among other benefits, modeling an Exel–Laca algebra as ultragraph C*-algebra allows one to use the ultragraph as a tool to study the associated C*-algebras, thereby providing the option to use graph-theoretic techniques, rather than matrix techniques, when studying the Exel–Laca algebra. Ultragraph C*-algebras have been used to show that every simple AF-algebra is isomorphic to either a graph C*-algebra or an Exel–Laca algebra. They have also been used to prove that every AF-algebra with no (nonzero) finite-dimensional quotient is isomorphic to an Exel–Laca alg
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https://en.wikipedia.org/wiki/CHAMP%20%28mathematics%20outreach%20program%29
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CHAMP (the Cougars and Houston Area Mathematics Program) is a mathematics and STEM outreach program that ran from Fall 2013–Spring 2019. CHAMP was created and directed by Mark Tomforde, and it used volunteer effort from undergraduate and graduate students to provide tutoring and mathematics lessons for high school and middle school students from underserved communities surrounding the University of Houston. CHAMP lessons were taught in an interactive style similar to a math circle.
Impact and awards
In 2018 CHAMP received the Award for Mathematics Programs That Make a Difference from the American Mathematical Society. In addition to the announcement of the award, the Notices of the American Mathematical Society published an article describing the impact of CHAMP and the community of the Third Ward of Houston, which it served. CHAMP had measurable success in increasing the grit and growth mindset of the participating students, and CHAMP was commended for its successes in bringing more persons from underrepresented backgrounds into the mathematics pipeline. It was also noted that CHAMP had numerous reciprocal benefits for its graduate and undergraduate volunteers, inspiring many of them to pursue graduate studies in mathematics or pursue careers in mathematics education.
Also in 2018, CHAMP received the Phi Beta Kappa Award for Engaging Broader Audiences and both Phi Beta Kappa and the Houston Mayor's office recognized CHAMP as one of four exemplary local organizations that serve as national models for building creative exchanges with diverse audiences in the arts, humanities, social sciences, natural sciences or mathematics.
CHAMP was supported by a Tensor-SUMMA grant from the Mathematical Association of America from Fall 2015–Spring 2018.
Resources
Although the program ended in 2019, CHAMP maintains a legacy website and copies of its lesson materials can be downloaded from its "Schedule Page".
References
External links
Mathematics education in the United States
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https://en.wikipedia.org/wiki/Mark%20Tomforde
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Mark Tomforde is an American mathematician and Professor of Mathematics
at University of Colorado Colorado Springs. He works in the areas of functional analysis and algebra, and he earned his Ph.D. in mathematics at Dartmouth College in 2002. Tomforde's research interests are in operator algebras and C*-algebras, and he has made contributions to the study of graph C*-algebras and Leavitt path algebras. He was an invited speaker at the 2015 Abel Symposium, and he is a founding member of the Algebras and Rings in Colorado Springs (ARCS) center. He has also received several awards for his teaching and outreach efforts.
Contributions to Graph C*-algebras and Leavitt Path Algebras
Tomforde has made fundamental contributions to the related areas of graph C*-algebras and Leavitt path algebras. With Doug Drinen, he is co-creator of the Drinen-Tomforde desingularization, often simply called desingularization. Desingularization allows one to extend many results for row-finite graphs to countable graphs, and it has become a standard tool in the study of graph C*-algebras and Leavitt path algebras.
With Gene Abrams, Tomforde has formulated the Abrams-Tomforde conjectures, which state that the Leavitt path algebras of two graphs are Morita equivalent as rings (respectively, isomorphic as rings) if and only if the C*-algebras of the two graphs are Morita equivalent as C*-algebras (respectively, isomorphic as C*-algebras). Abrams and Tomforde have verified certain special cases of the conjectures, and in 2020 Søren Eilers, Gunnar Restorff, Efren Ruiz, and Adam P.W. Sørensen completed a classification of unital graph C*-algebras that allowed them to verify the Abrams-Tomforde conjectures for graphs with a finite number of vertices.
Tomforde is also the creator of ultragraph C*-algebras, which are C*-algebras constructed from a generalization of a directed graph, known as an ultragraph. The ultragraph C*-algebras simultaneously generalize the classes of graph C*-algebras and Exel-Laca algebras, and allow one to apply graph techniques to the study of Exel-Laca algebras.
In his research, Tomforde has connected ideas from Functional Analysis and Algebra, and he has used techniques and methods from each subject to contribute to the study of the other. Tomforde has also been active in organizing several conferences on graph C*-algebras and their generalizations, with the goal of
bringing together analysts and algebraists to share ideas and collaborate.
Teaching and Outreach
Tomforde's teaching and outreach activities have been recognized in several ways. He created and directed the Cougars and Houston Area Mathematics Program (CHAMP), which ran from Fall 2013 to Spring 2019 and used volunteer effort to provide tutoring and math circle activities to underserved high school and middle school students in Houston. In 2016 CHAMP received an award from Phi Beta Kappa for being an organization that serves as a national model for building creative exchanges w
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https://en.wikipedia.org/wiki/Makito%20Uehara
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is a Japanese footballer currently playing as a defender for FC Ryukyu.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Sportspeople from Okinawa Prefecture
Association football people from Okinawa Prefecture
Josai International University alumni
Japanese men's footballers
Men's association football defenders
FC Ryukyu players
J2 League players
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https://en.wikipedia.org/wiki/Ryotaro%20Hiramatsu
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is a Japanese footballer currently playing as a defender for Nara Club.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Association football people from Nara Prefecture
International Pacific University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
Japan Football League players
FC Imabari players
Nara Club players
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https://en.wikipedia.org/wiki/B%C3%A9la%20Lengyel
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Béla Lengyel (born 29 October 1990) is a Hungarian attacking midfielder who plays for Budaörs.
Career statistics
.
Source
References
External links
1990 births
Living people
Footballers from Szolnok
Hungarian men's footballers
Men's association football midfielders
Szolnoki MÁV FC footballers
Ceglédi VSE footballers
Budaörsi SC footballers
FC Ajka players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
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https://en.wikipedia.org/wiki/Quasitrace
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In mathematics, especially functional analysis, a quasitrace is a not necessarily additive tracial functional on a C*-algebra. An additive quasitrace is called a trace. It is a major open problem if every quasitrace is a trace.
Definition
A quasitrace on a C*-algebra A is a map such that:
is homogeneous:
for every and .
is tracial:
for every .
is additive on commuting elements:
for every that satisfy .
and such that for each the induced map
has the same properties.
A quasitrace is:
bounded if
normalized if
lower semicontinuous if
is closed for each .
Variants
A 1-quasitrace is a map that is just homogeneous, tracial and additive on commuting elements, but does not necessarily extend to such a map on matrix algebras over A. If a 1-quasitrace extends to the matrix algebra , then it is called a n-quasitrace. There are examples of 1-quasitraces that are not 2-quasitraces. One can show that every 2-quasitrace is automatically a n-quasitrace for every . Sometimes in the literature, a quasitrace means a 1-quasitrace and a 2-quasitrace means a quasitrace.
Properties
A quasitrace that is additive on all elements is called a trace.
Uffe Haagerup showed that every quasitrace on a unital, exact C*-algebra is additive and thus a trace. The article of Haagerup was circulated as handwritten notes in 1991 and remained unpublished until 2014. Blanchard and Kirchberg removed the assumption of unitality in Haagerup's result. As of today (August 2020) it remains an open problem if every quasitrace is additive.
Joachim Cuntz showed that a simple, unital C*-algebra is stably finite if and only if it admits a dimension function. A simple, unital C*-algebra is stably finite if and only if it admits a normalized quasitrace. An important consequence is that every simple, unital, stably finite, exact C*-algebra admits a tracial state.
Every quasitrace on a von Neumann algebra is a trace.
Notes
References
Functional analysis
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https://en.wikipedia.org/wiki/Rebecca%20Waldecker
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Rebecca Anne Hedwig Waldecker (born 1979) is a German mathematician specializing in group theory. She is professor for algebra at Martin Luther University of Halle-Wittenberg.
Education and career
Waldecker is originally from Aachen. She earned her doctorate (Dr. rer. nat.) at the University of Kiel in 2007, under the supervision of , and in 2014 completed her habilitation at Martin Luther University of Halle-Wittenberg.
After postdoctoral research as a Leverhulme Fellow at the University of Birmingham, Waldecker joined Martin Luther University of Halle-Wittenberg as a junior professor in 2009. She became professor for algebra in 2015.
Books
Waldecker is the author of the book Isolated Involutions in Finite Groups (Memoirs of the American Mathematical Society, 2013), developed from her doctoral dissertation.
With Lasse Rempe-Gillen, she is the coauthor of Primzahltests für Einsteiger: Zahlentheorie, Algorithmik, Kryptographie (Vieweg+Teubner, 2009; 2nd ed., Springer, 2016), a book on primality tests that was translated into English as Primality Testing for Beginners (Student Mathematical Library 70, American Mathematical Society, 2014).
She became a coauthor to the 2012 textbook Elementare Algebra und Zahlentheorie of , in its second edition (Mathematik Kompakt, Springer, 2019).
References
External links
Home page
1979 births
Living people
21st-century German mathematicians
German women mathematicians
Group theorists
University of Kiel alumni
Academic staff of the University of Halle
21st-century women mathematicians
People from Aachen
21st-century German women
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https://en.wikipedia.org/wiki/Calculus%20on%20Euclidean%20space
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In mathematics, calculus on Euclidean space is a generalization of calculus of functions in one or several variables to calculus of functions on Euclidean space as well as a finite-dimensional real vector space. This calculus is also known as advanced calculus, especially in the United States. It is similar to multivariable calculus but is somewhat more sophisticated in that it uses linear algebra (or some functional analysis) more extensively and covers some concepts from differential geometry such as differential forms and Stokes' formula in terms of differential forms. This extensive use of linear algebra also allows a natural generalization of multivariable calculus to calculus on Banach spaces or topological vector spaces.
Calculus on Euclidean space is also a local model of calculus on manifolds, a theory of functions on manifolds.
Basic notions
Functions in one real variable
This section is a brief review of function theory in one-variable calculus.
A real-valued function is continuous at if it is approximately constant near ; i.e.,
In contrast, the function is differentiable at if it is approximately linear near ; i.e., there is some real number such that
(For simplicity, suppose . Then the above means that where goes to 0 faster than h going to 0 and, in that sense, behaves like .)
The number depends on and thus is denoted as . If is differentiable on an open interval and if is a continuous function on , then is called a C1 function. More generally, is called a Ck function if its derivative is Ck-1 function. Taylor's theorem states that a Ck function is precisely a function that can be approximated by a polynomial of degree k.
If is a C1 function and for some , then either or ; i.e., either is strictly increasing or strictly decreasing in some open interval containing a. In particular, is bijective for some open interval containing . The inverse function theorem then says that the inverse function is differentiable on U with the derivatives: for
Derivative of a map and chain rule
For functions defined in the plane or more generally on an Euclidean space , it is necessary to consider functions that are vector-valued or matrix-valued. It is also conceptually helpful to do this in an invariant manner (i.e., a coordinate-free way). Derivatives of such maps at a point are then vectors or linear maps, not real numbers.
Let be a map from an open subset of to an open subset of . Then the map is said to be differentiable at a point in if there exists a (necessarily unique) linear transformation , called the derivative of at , such that
where is the application of the linear transformation to . If is differentiable at , then it is continuous at since
as .
As in the one-variable case, there is
This is proved exactly as for functions in one variable. Indeed, with the notation , we have:
Here, since is differentiable at , the second term on the right goes to zero as . As for the first term, it ca
|
https://en.wikipedia.org/wiki/Expected%20mean%20squares
|
In statistics, expected mean squares (EMS) are the expected values of certain statistics arising in partitions of sums of squares in the analysis of variance (ANOVA). They can be used for ascertaining which statistic should appear in the denominator in an F-test for testing a null hypothesis that a particular effect is absent.
Definition
When the total corrected sum of squares in an ANOVA is partitioned into several components, each attributed to the effect of a particular predictor variable, each of the sums of squares in that partition is a random variable that has an expected value. That expected value divided by the corresponding number of degrees of freedom is the expected mean square for that predictor variable.
Example
The following example is from Longitudinal Data Analysis by Donald Hedeker and Robert D. Gibbons.
Each of s treatments (one of which may be a placebo) is administered to a sample of (capital) N randomly chosen patients, on whom certain measurements are observed at each of (lower-case) n specified times, for (thus the numbers of patients receiving different treatments may differ), and We assume the sets of patients receiving different treatments are disjoint, so patients are nested within treatments and not crossed with treatments. We have
where
= grand mean, (fixed)
= effect of treatment , (fixed)
= effect of time , (fixed)
= interaction effect of treatment and time , (fixed)
= individual difference effect for patient nested within treatment , (random)
= error for patient in treatment at time . (random)
= variance of the random effect of patients nested within treatments,
= error variance.
The total corrected sum of squares is
The ANOVA table below partitions the sum of squares (where ):
Use in F-tests
A null hypothesis of interest is that there is no difference between effects of different treatments—thus no difference among treatment means. This may be expressed by saying (with the notation as used in the table above). Under this null hypothesis, the expected mean square for effects of treatments is
The numerator in the F-statistic for testing this hypothesis is the mean square due to differences among treatments, i.e. it is The denominator, however, is not The reason is that the random variable below, although under the null hypothesis it has an F-distribution, is not observable—it is not a statistic—because its value depends on the unobservable parameters and
Instead, one uses as the test statistic the following random variable that is not defined in terms of :
Notes and references
Analysis of variance
|
https://en.wikipedia.org/wiki/Raymundo%20Fulgencio
|
Raymundo de Jesús Fulgencio Román (born 12 February 2000) is a Mexican professional footballer who plays as a winger for Liga MX club Tigres UANL.
Career statistics
Club
Honours
Tigres UANL
Liga MX: Clausura 2023
Campeón de Campeones: 2023
CONCACAF Champions League: 2020
References
External links
Raymundo Fulgencio at Official Liga MX profile
2000 births
Living people
Mexican men's footballers
Men's association football midfielders
Tigres UANL footballers
Liga MX players
C.D. Veracruz footballers
Sportspeople from Veracruz (city)
Footballers from Veracruz
|
https://en.wikipedia.org/wiki/Arabi%20Badr
|
Al-Arabi Badr Mokhtar (; born 23 October 2001) is an Egyptian professional footballer who plays as a defensive midfielder for Tala'ea El Gaish on loan from Al Ahly.
Career statistics
Club
Notes
References
2001 births
Living people
Egyptian men's footballers
Egypt men's youth international footballers
Men's association football midfielders
Al Ahly SC players
Egyptian Premier League players
Future FC players
|
https://en.wikipedia.org/wiki/1955%E2%80%9356%20Rochdale%20A.F.C.%20season
|
The 1955–56 season saw Rochdale compete for their 28th season in the Football League Third Division North.
Statistics
|}
Final League Table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/Lesenya%20Ramoraka
|
Lesenya Ramoraka (born 4 April 1994- 4 October 2022) was a Motswana footballer who played as a left back for South African Premier Division side Highlands Park.
Career statistics
Club
International
References
1994 births
Living people
Botswana men's footballers
Botswana men's international footballers
Men's association football fullbacks
Orapa United F.C. players
Highlands Park F.C. players
South African Premier Division players
Botswana expatriate men's footballers
Expatriate men's soccer players in South Africa
Botswana expatriate sportspeople in South Africa
People from Central District (Botswana)
|
https://en.wikipedia.org/wiki/Armando%20Le%C3%B3n
|
Armando León Reséndez (born 18 January 2000) is a Mexican professional footballer who plays as a forward.
Career statistics
Club
Honours
León
Liga MX: Guardianes 2020
Leagues Cup: 2021
Alebrijes de Oaxaca Premier
Serie B de México: Clausura 2023
References
External links
Living people
2000 births
Mexican men's footballers
Club León footballers
Liga MX players
Men's association football forwards
People from Ensenada, Baja California
Footballers from Baja California
|
https://en.wikipedia.org/wiki/Alfonso%20Alvarado
|
José Alfonso Alvarado Pérez (born 15 March 2000), also known as Plátano, is a Mexican professional footballer who plays as a forward for Liga MX club León.
Career statistics
Club
Honours
Monterrey
Copa MX: 2019–20
CONCACAF Champions League: 2021
León
CONCACAF Champions League: 2023
Mexico U17
CONCACAF Under-17 Championship: 2017
References
External links
Footballers from Sinaloa
2000 births
People from Guasave
Living people
Men's association football forwards
C.F. Monterrey players
Liga MX players
Raya2 Expansión players
Mexican men's footballers
|
https://en.wikipedia.org/wiki/Peter%20D.%20Welch
|
Peter D. Welch is a scientist and researcher in the area of computer simulation, as well as applied mathematics, applied statistics, and computer science. A former IBM researcher, he is best known for his work with Welch's method to reduce signal noise.
Education
Welch attended University of Chicago. He received his M.S. in Mathematics from the University of Wisconsin (1951), M.S. in Physics from New Mexico State University (1956) and Ph.D. in mathematical statistics from Columbia University (1963).
Career
Welch joined IBM Research at the Thomas J. Watson Research Center in Yorktown Heights, New York, where he conducted research and development for over three decades. At IBM Research he worked in the areas of speech recognition, spectral estimation, queueing theory, seismic signal processing, fast Fourier methodology, pattern recognition, computer and communication system performance modeling, simulation output analysis, and graphics system design.
Welch played a role in promoting simulation as a rigorous discipline during his service as the Simulation Department Area Editor of Operations Research (1983-1987). Welch's paper on the "use of fast Fourier transform for the estimation of power spectra" or Welch's method, has been cited over 5,000 times and remains widely used to reduce noise caused by imperfect and finite data.
Awards
Welch received the Institute for Operations Research and Management Sciences (INFORMS) Simulation Society "Distinguished Service Award" in 2010 and its "Lifetime Professional Achievement Award" in 2013. The INFORMS Lifetime Professional Achievement Award cites Welch's 62-year career marked by "contributions of fundamental importance not only in the field of computer simulation but also in the broader fields of applied mathematics, applied statistics, computer science." Since the mid-1970s, states INFORMS, "Peter has made groundbreaking contributions to the theory and practice of computer simulation, to the dissemination of knowledge in that field, and to the development of simulation-related software systems."
References
Year of birth missing (living people)
Living people
University of Wisconsin alumni
New Mexico State University alumni
Columbia University alumni
IBM Research computer scientists
Place of birth missing (living people)
Nationality missing
University of Chicago alumni
|
https://en.wikipedia.org/wiki/Marjorie%20Batchelor
|
Marjorie Blake (Marj) Batchelor-Winter is an American mathematician known for her work on coalgebras and supermanifolds. She is an emeritus staff member in the department of pure mathematics and mathematical statistics at the University of Cambridge in England, where she was formerly the graduate education officer and director of the Cambridge Mathematics Placements summer programme.
Education
Batchelor is the daughter of William Henry Batchelor, a medical researcher and administrator at the National Institutes of Health.
She graduated from Smith College in 1973, and in 2008 returned to Smith with her husband, Alan Winter, to help revive the tradition of change ringing at Smith.
She became a student of Bertram Kostant at the Massachusetts Institute of Technology, completing her Ph.D. there in 1978 with a dissertation on The Structure of Supermanifolds.
Research
In the theory of supermanifolds, Batchelor's theorem states that every supermanifold can be realized as a sheaf of differential forms over the exterior bundle of a vector bundle. Batchelor published its proof in her 1979 paper, "The structure of supermanifolds".
Activism
At Cambridge, Batchelor became known for her efforts to encourage women in mathematics, and to build a more collegial and interactive atmosphere among the students studying for the Mathematical Tripos.
References
External links
Home page
Marj Batchelor, Women in Maths, 18 January 2017
Year of birth missing (living people)
Living people
American mathematicians
British mathematicians
Smith College alumni
Massachusetts Institute of Technology School of Science alumni
Academics of the University of Cambridge
|
https://en.wikipedia.org/wiki/Andreas%20Thom%20%28mathematician%29
|
Andreas Thom is a German mathematician, working on geometric group theory, algebraic topology, ergodic theory of group actions, and operator algebras.
Education and career
Thom received in 2000 his Certificate of Advanced Study in Mathematics from the University of Cambridge. In 2003 he obtained his doctorate (Promotion) from the University of Münster with thesis advisor Joachim Cuntz and thesis Connective E-Theory and Bivariant Homology for C*-Algebra. He was a Postdoc 2003–2005 at the University of Münster, and 2005–2007 at the University of Göttingen. From 2007 to 2009 he was a junior professor for Geometrical Aspects of Pure Mathematics at the University of Göttingen. After being promoted to assistant professor in Göttingen, he moved in 2009 to become a full professor for Theoretical Mathematics at the University of Leipzig. In 2014 he moved for a full professorship in Geometry to the TU Dresden.
Awards and honors
In 2011, Thom received an ERC Starting Grant No. 277728 Geometry and Analysis of Group Rings.
In 2016, he received an ERC Consolidator Grant No. 681207 Groups, Dynamics, and Approximation.
In 2018, Thom was an invited speaker for a talk Finitary approximations of groups and their applications at the International Congress of Mathematicians in Rio de Janeiro.
Selected publications
References
External links
Andreas Thom on the website of the TU Dresden
arxiv.org preprints by Andreas Thom
20th-century German mathematicians
21st-century German mathematicians
Academic staff of TU Dresden
Living people
Year of birth missing (living people)
|
https://en.wikipedia.org/wiki/Convex%20Polyhedra%20%28book%29
|
Convex Polyhedra is a book on the mathematics of convex polyhedra, written by Soviet mathematician Aleksandr Danilovich Aleksandrov, and originally published in Russian in 1950, under the title Выпуклые многогранники. It was translated into German by Wilhelm Süss as Konvexe Polyeder in 1958. An updated edition, translated into English by Nurlan S. Dairbekov, Semën Samsonovich Kutateladze and Alexei B. Sossinsky, with added material by Victor Zalgaller, L. A. Shor, and Yu. A. Volkov, was published as Convex Polyhedra by Springer-Verlag in 2005.
Topics
The main focus of the book is on the specification of geometric data that will determine uniquely the shape of a three-dimensional convex polyhedron, up to some class of geometric transformations such as congruence or similarity. It considers both bounded polyhedra (convex hulls of finite sets of points) and unbounded polyhedra (intersections of finitely many half-spaces).
The 1950 Russian edition of the book included 11 chapters. The first chapter covers the basic topological properties of polyhedra, including their topological equivalence to spheres (in the bounded case) and Euler's polyhedral formula. After a lemma of Augustin Cauchy on the impossibility of labeling the edges of a polyhedron by positive and negative signs so that each vertex has at least four sign changes, the remainder of chapter 2 outlines the content of the remaining book. Chapters 3 and 4 prove Alexandrov's uniqueness theorem, characterizing the surface geometry of polyhedra as being exactly the metric spaces that are topologically spherical locally like the Euclidean plane except at a finite set of points of positive angular defect, obeying Descartes' theorem on total angular defect that the total angular defect should be . Chapter 5 considers the metric spaces defined in the same way that are topologically a disk rather than a sphere, and studies the flexible polyhedral surfaces that result.
Chapters 6 through 8 of the book are related to a theorem of Hermann Minkowski that a convex polyhedron is uniquely determined by the areas and directions of its faces, with a new proof based on invariance of domain. A generalization of this theorem implies that the same is true for the perimeters and directions of the faces. Chapter 9 concerns the reconstruction of three-dimensional polyhedra from a two-dimensional perspective view, by constraining the vertices of the polyhedron to lie on rays through the point of view. The original Russian edition of the book concludes with two chapters, 10 and 11, related to Cauchy's theorem that polyhedra with flat faces form rigid structures, and describing the differences between the rigidity and infinitesimal rigidity of polyhedra, as developed analogously to Cauchy's rigidity theorem by Max Dehn.
The 2005 English edition adds comments and bibliographic information regarding many problems that were posed as open in the 1950 edition but subsequently solved. It also includes in a chapter of sup
|
https://en.wikipedia.org/wiki/Hayato%20Kurosaki
|
is a Japanese footballer currently playing as a defender for Tochigi SC.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Japanese men's footballers
Men's association football defenders
Hosei University alumni
J2 League players
Tochigi SC players
|
https://en.wikipedia.org/wiki/Teppei%20Yachida
|
is a Japanese footballer currently playing as a midfielder for Kyoto Sanga.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
People from Nagaoka, Niigata
Sportspeople from Niigata Prefecture
Association football people from Niigata Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
J2 League players
Kyoto Sanga FC players
Footballers at the 2022 Asian Games
|
https://en.wikipedia.org/wiki/Kaito%20Suzuki
|
is a Japanese footballer who plays as a centre back for Júbilo Iwata.
Career statistics
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
Júbilo Iwata players
J2 League players
|
https://en.wikipedia.org/wiki/Yuan%20Matsuhashi
|
is a Japanese footballer currently playing as a midfielder for Renofa Yamaguchi, on loan from Tokyo Verdy.
Career statistics
Club
.
Notes
References
External links
Player profile from Tokyo Verdy website
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
J2 League players
Tokyo Verdy players
SC Sagamihara players
|
https://en.wikipedia.org/wiki/Haiyan%20Huang
|
Haiyan Huang is a Chinese-American biostatistician. She works as a professor of statistics at the University of California, Berkeley, where she directs the Center for Computational Biology. She is the coauthor of highly cited work on the human genome, published as part of the ENCODE research consortium, and has also published foundational work on the statistical modeling of experimental reproducibility.
Education and career
Huang graduated from Peking University in 1997, with a bachelor's degree in mathematics, and earned her Ph.D. at the University of Southern California in 2001. Her dissertation, Bounds for the Errors in Word Count Distributional Approximations, was supervised by Larry Goldstein. After postdoctoral research with Wing Hung Wong and Jun S. Liu at Harvard University, she joined the Berkeley statistics department in 2003.
Recognition
She was named to the 2022 class of Fellows of the Institute of Mathematical Statistics, for "outstanding research in applied statistics, computational biology and applied probability and major contributions to institutional establishment of computational biology within data science". In 2022 she was also named as a Fellow of the American Statistical Association.
References
External links
Home page
Huang group
Year of birth missing (living people)
Living people
American statisticians
Chinese statisticians
Women statisticians
Peking University alumni
University of Southern California alumni
University of California, Berkeley College of Letters and Science faculty
Fellows of the Institute of Mathematical Statistics
Fellows of the American Statistical Association
|
https://en.wikipedia.org/wiki/Yassin%20Marei
|
Yassin Marei (born 7 November 2001) is an Egyptian professional footballer who plays as a defender for Pharco FC.
Career statistics
Club
Notes
References
2001 births
Living people
Egyptian men's footballers
Men's association football defenders
Zamalek SC players
Egyptian Premier League players
|
https://en.wikipedia.org/wiki/Mohamed%20Hossam%20Beso
|
Mohamed Hossam Beso (; born 1 January 2001) is an Egyptian professional footballer who plays as a midfielder for Zamalek.
Career statistics
Club
Notes
References
2001 births
Living people
Egyptian men's footballers
Men's association football midfielders
Zamalek SC players
Egyptian Premier League players
|
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