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https://en.wikipedia.org/wiki/Gabriel%E2%80%93Rosenberg%20reconstruction%20theorem | In algebraic geometry, the Gabriel–Rosenberg reconstruction theorem, introduced in , states that a quasi-separated scheme can be recovered from the category of quasi-coherent sheaves on it. The theorem is taken as a starting point for noncommutative algebraic geometry as the theorem says (in a sense) working with stuff on a space is equivalent to working with the space itself. It is named after Pierre Gabriel and Alexander L. Rosenberg.
See also
Tannakian duality
References
External links
https://ncatlab.org/nlab/show/Gabriel-Rosenberg+theorem
How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka,Balmers)
Theorems in algebraic geometry
Scheme theory
Sheaf theory |
https://en.wikipedia.org/wiki/Carrick%20Hamilton | Carrick Hamilton was a Scottish amateur football outside left who played in the Scottish League for Queen's Park and Partick Thistle.
Career statistics
References
Scottish men's footballers
Year of death missing
Scottish Football League players
Queen's Park F.C. players
Footballers from North Ayrshire
Men's association football outside forwards
1881 births
Ardeer Thistle F.C. players
Petershill F.C. players
People from Stevenston
Scottish Junior Football Association players |
https://en.wikipedia.org/wiki/Simple%20point%20process | A simple point process is a special type of point process in probability theory. In simple point processes, every point is assigned the weight one.
Definition
Let be a locally compact second countable Hausdorff space and let be its Borel -algebra. A point process , interpreted as random measure on , is called a simple point process if it can be written as
for an index set and random elements which are almost everywhere pairwise distinct. Here denotes the Dirac measure on the point .
Examples
Simple point processes include many important classes of point processes such as Poisson processes, Cox processes and binomial processes.
Uniqueness
If is a generating ring of then a simple point process is uniquely determined by its values on the sets . This means that two simple point processes and have the same distributions iff
Literature
Point processes |
https://en.wikipedia.org/wiki/IMA%20Gold%20Medal | The Gold Medal of the Institute of Mathematics and its Applications (IMA) is a biennial prize established in 1982 by the IMA "in recognition of outstanding contributions to mathematics and its applications over a period of years". These contributions may take several different forms, including "the building up of a research group of exceptional merit", "notable contributions to the application of mathematical techniques" or "outstanding contributions to the improvement of the teaching of mathematics".
Prize winners list
Source: Institute of Mathematics and its Applications
1982 Professor Sir J. Lighthill, FRS and Dr A. B. Tayler
1984 Dr J. M. Hammersley, FRS and Sir A. Wilson, FRS
1986 Professor G. A. Barnard and Professor Sir S. Edwards, FRS
1988 Professor Sir H. Bondi, FRS
1990 No award
1992 Professor O. C. Zienkiewicz, FRS
1994 Professor F. Ursell, FRS
1996 Professor M. J. D. Powell, FRS
1998 No award
2000 Professor I. N. Stewart, FRS
2002 Professor K. W. Morton and Professor F. C. Piper
2004 Professor J. M. T. Thompson, FRS
2006 Dr J. R. Ockendon
2008 Professor J. D. Murray, FRS and Professor T. J. Pedley, FRS
2010 Professor L. N. Trefethen, FRS
2012 Dr M. Sabin
2014 C. Cocks CB DSc
2016 Professor A. C. Croft and Professor D. A. Lawson
2018 Professor R. Twarock
2020 Professor N. Higham
See also
List of mathematics awards
References
Mathematics awards
Awards established in 1982
British science and technology awards |
https://en.wikipedia.org/wiki/Finite-valued%20logic | In logic, a finite-valued logic (also finitely many-valued logic) is a propositional calculus in which truth values are discrete. Traditionally, in Aristotle's logic, the bivalent logic, also known as binary logic was the norm, as the law of the excluded middle precluded more than two possible values (i.e., "true" and "false") for any proposition. Modern three-valued logic (ternary logic) allows for an additional possible truth value (i.e. "undecided").
The term finitely many-valued logic is typically used to describe many-valued logic having three or more, but not infinite, truth values. The term finite-valued logic encompasses both finitely many-valued logic and bivalent logic. Fuzzy logics, which allow for degrees of values between "true" and "false"), are typically not considered forms of finite-valued logic. However, finite-valued logic can be applied in Boolean-valued modeling, description logics, and defuzzification of fuzzy logic. A finite-valued logic is decidable (sure to determine outcomes of the logic when it is applied to propositions) if and only if it has a computational semantics.
History
Aristotle's collected works regarding logic, known as the Organon, describe bivalent logic primarily, though Aristotle's views may have allowed for propositions that are not actually true or false. The Organon influenced philosophers and mathematicians throughout the Enlightenment. George Boole developed an algebraic structure and an algorithmic probability theory based on bivalent logic in the 19th century.
Jan Łukasiewicz developed a system of three-valued logic in 1920. Emil Leon Post introduced further truth degrees in 1921.
Stephen Cole Kleene and Ulrich Blau expanded the three-valued logic system of Łukasiewicz, for computer applications and for natural language analyses, respectively. Nuel Belnap and J. Michael Dunn developed a four-valued logic for computer applications in 1977. Since the mid-1970s, various procedures for providing arbitrary finite-valued logics have been developed.
Examples
In linguistics, finite-valued logic is used to treat presuppositions as product systems with ordered pairs of truth degrees, or truth tables. This enables assumptions built into verbal or written statements to be associated with varying degrees of truth values in the course of natural-language processing.
In the study of formal languages, finite-valued logic has shown that encapsulating a truth predicate in a language can render the language inconsistent. Saul Kripke has built on work pioneered by Alfred Tarski to demonstrate that such a truth predicate can be modeled using three-valued logic.
Philosophical questions, including the Sorites paradox, have been considered based on a finite-valued logic known as fuzzy plurivaluationism. The Sorites paradox suggests that if adding a grain of sand to something that is not a heap cannot create a heap, then a heap of sand cannot be created. A logical model of a heap in which there are as many truth |
https://en.wikipedia.org/wiki/Shunto%20Kodama | is a Japanese football player who plays for Tokushima Vortis.
Career statistics
Club
References
External links
1999 births
Living people
Japanese men's footballers
J1 League players
J2 League players
Nagoya Grampus players
SC Sagamihara players
Tokushima Vortis players
Men's association football midfielders
Universiade medalists in football
FISU World University Games gold medalists for Japan
Medalists at the 2019 Summer Universiade
Association football people from Osaka |
https://en.wikipedia.org/wiki/Emmanuel%20Ullmo | Emmanuel Ullmo (born 25 June 1965) is a French mathematician, specialised in arithmetic geometry. Since 2013 he has served as director of the Institut des Hautes Études scientifiques.
Biography
He wrote his thesis under Lucien Szpiro at the University of Paris-Sud in 1993, where he was appointed professor in 2001. He also held temporary positions at IMPA for 18 months, then two years at Princeton University, and six months at Tsinghua University.
He was an editor of the journal Inventiones mathematicae between 2007 and 2014.
In 2013, following the retirement of Jean-Pierre Bourguignon, he became the 5th director of the IHÉS.
Awards
He was an invited speaker at the International Congress of Mathematicians at Beijing in 2002. Between 2003 and 2008 he was a junior fellow at the Institut de France. He received the Elie Cartan Prize of the French Academy of Sciences in 2006 for his work on the proof of the Bogomolov conjecture with Shou-Wu Zhang.
References
1965 births
Living people
French mathematicians
Arithmetic geometers
Academic staff of Paris-Sud University
University of Paris alumni |
https://en.wikipedia.org/wiki/Philip%20Welch | Philip David Welch (born 6 January 1954) is a British mathematician known for his contributions to logic and set theory. He is Professor of Pure Mathematics at the School of Mathematics, University of Bristol. He is currently President of the British Logic Colloquium (2017), Vice-President of the European Set Theory Society (2018), and the Coordinating Editor of the Journal of Symbolic Logic (2016).
Biography
Welch attended Lancing College. After obtaining a BSc in mathematics from University College London in 1975, he attended Exeter College at the University of Oxford, taking an MSc in mathematical logic in 1976 and his DPhil in 1979, under the supervision of Robin Gandy. His dissertation was entitled Combinatorial Principles in the Core Model.
He worked as an assistant at the Seminar für Logik at the University of Bonn from 1980 to 1981, then as an SERC Research Fellow at Wolfson College, Oxford, from 1981 until 1983. Following a Royal Society European Research Fellowship at the University of Bonn, and the Free University of Berlin (1984), he held a position as an assistant professor at UCLA until 1986. In 1997 he left Bristol in order to set up a research group in set theory at the Graduate School of Science and Technology at Kobe University, Japan. He subsequently held a Guest Professorship at the Kurt Gödel Research Center at the University of Vienna (2000–2001) and a Mercator Professorship at the University of Bonn (2001) before returning to Bristol in 2002. He was appointed as a Professor there in 2004. Apart from research articles he is co-author with Aaron Beller and Ronald Jensen
of Coding the Universe.
References
External links
Home page of Philip Welch at Bristol
1954 births
Living people
Alumni of University College London
Alumni of Exeter College, Oxford
20th-century English mathematicians
21st-century English mathematicians
Academics of the University of Bristol
University of California, Los Angeles faculty
20th-century British philosophers
21st-century British philosophers |
https://en.wikipedia.org/wiki/Jenna%20L%C3%AA | Jenna Lê is an American poet and medical doctor. A Minnesota-born daughter of Vietnam War refugees, Lê grew up outside Minneapolis and earned her B.A. in Mathematics from Harvard University and her M.D. from Columbia University. She lives and works in New York City.
She is the author of two full-length collections of poems, Six Rivers (NYQ Books, 2011), which was a Small Press Distribution Poetry Bestseller, and A History of the Cetacean American Diaspora (Indolent Books, 2018; first edition: Anchor & Plume Press, 2016), which won Second Place in the 2017 Elgin Awards. Her poetry, fiction, essays, book criticism, and poetry translations have been published widely. Her book Six Rivers reflects on four actual rivers the Perfume, Mississippi, Charles and Hudson, and two conceptual ones, the Aorta and the Styx. Other poems draw parallels between the experience of migratory animals and human migrants. A reviewer in the Minneapolis Star Tribune wrote that, "her work reminds us why poetry can be so exciting -- not because it shows us the world as we already know it, but because it takes the world we already know and makes it strange and new."
Le has been a Minnetonka Review Editor's Prize winner, a two-time Alpha Omega Alpha Pharos Poetry Competition winner, a William Carlos Williams Poetry Competition finalist, a Michael E. DeBakey Poetry Award finalist, a Pamet River Prize semifinalist, a four-time Pushcart Prize nominee, a Best of the Net nominee, and a Rhysling Award nominee. Since 2014 (after her Pharos Poetry Competition wins), Le has also served on the editorial board of The Pharos, the journal of the Alpha Omega Alpha Medical Honor Society.
References
External links
ACR Bulletin
Anchor & Plume Press
andreablythe.com
Lantern Review
The Millions (mutual interview with novelist Laura Goode; re: spelling bees)
Newtown Literary
The Science Fiction and Fantasy Poetry Association blog
www.stephaniehan.com‘s “Woman Warrior” feature
The Southampton Review
Vietnamese women writers
Year of birth missing (living people)
Living people
Columbia University Vagelos College of Physicians and Surgeons alumni
American physicians
People from Minnesota
American women poets
Harvard University alumni
21st-century American women physicians
21st-century American physicians
21st-century Vietnamese women writers
21st-century Vietnamese poets
21st-century American women writers
21st-century Vietnamese physicians |
https://en.wikipedia.org/wiki/Hossein%20Pour%20Amini | Hossein Pour Amini is an Iranian midfielder who currently plays for Iranian football club Paykan in the Persian Gulf Pro League.
Club career statistics
References
1990 births
Living people
Mes Rafsanjan F.C. players
F.C. Pars Jonoubi Jam players
Men's association football forwards
Iranian men's footballers
People from Borazjan |
https://en.wikipedia.org/wiki/Auguste%20Dick | Auguste Franziska Dick (née Kraus, 1910–1993) was an Austrian mathematician, historian of mathematics, and handwriting expert, known for her research on the history of mathematics under the Nazis, and for her biography of Emmy Noether.
Dick earned a doctorate from the University of Vienna, and a teaching credential in mathematics and physics, in 1934.
At Vienna, she was one of the students working with Olga Taussky-Todd in the seminar of Hans Hahn.
She worked as a schoolteacher, and began producing scholarly publications after her retirement.
Her book on Noether, Emmy Noether, 1882–1935 (Birkhäuser 1970) has been translated into both Japanese and English (Heidi I. Blocher, trans., Birkhäuser, 1981).
She also assisted in editing the works of Erwin Schrödinger.
References
1910 births
1993 deaths
Austrian mathematicians
Women mathematicians
Historians of mathematics
University of Vienna alumni |
https://en.wikipedia.org/wiki/2018%20Ramazan%20Veteran%27s%20Cup | Statistics of Ramazan Veteran's Cup in the 2018 season.
Group stage
From each group, the top two teams will be advanced for the Semi-finals.
All times listed are Maldives Standard Time.
Group A
Group B
Semi-finals
Final
Awards
References
External links
Maldivian Second Division Football Tournament seasons
Maldives
Maldives
2 |
https://en.wikipedia.org/wiki/Ali%20Dashti%20%28footballer%29 | Ali Dashti is an Iranian midfielder who currently plays for an Iranian football club, Gol Gohar Sirjan in the Persian Gulf Pro League.
Club career statistics
References
1994 births
Living people
Paykan F.C. players
F.C. Pars Jonoubi Jam players
Men's association football forwards
Iranian men's footballers
Esteghlal F.C. players
People from Bushehr Province
https://int.soccerway.com/players/ali-dashti/429136/ |
https://en.wikipedia.org/wiki/Haya%20Freedman | Haya Freedman (1923–2005) was a Polish-born Israeli mathematician known for her research on the Tamari lattice and on ring theory, and as "an exceptionally gifted teacher" of mathematics at the London School of Economics.
Early life and education
Haya Freedman was born in Lviv, which at that time was part of Poland, and at the age of ten moved to Mandatory Palestine. She earned a master's degree from the Hebrew University of Jerusalem, studying abstract algebra there under the supervision of Jacob Levitzki. She began doctoral studies under Dov Tamari in the early 1950s, doing research on the Tamari lattice that she would much later publish with Tamari. However, at that time her husband wanted to shift his own research from mathematics to computer science, and as part of that shift decided to move to England. Freedman moved with him in 1956, breaking off her studies.
Instead, she completed a PhD at Queen Mary College in 1960, under the supervision of Kurt Hirsch.
Academic career
In 1965, Freedman became a faculty member in mathematics in Birkbeck College. In 1966, Cyril Offord founded the sub-department of mathematics at the London School of Economics, and she became one of the founding faculty members there. She retired in 1988.
Legacy
In her honour, the London School of Economics offers an annual prize, the Haya Freedman Prize, for the best dissertation in applied mathematics.
References
1923 births
2005 deaths
Polish women mathematicians
20th-century Polish mathematicians
Israeli mathematicians
British mathematicians
Women mathematicians
Hebrew University of Jerusalem alumni
Alumni of Queen Mary University of London
Academics of Birkbeck, University of London
Academics of the London School of Economics
Polish emigrants to Mandatory Palestine
Israeli emigrants to the United Kingdom |
https://en.wikipedia.org/wiki/Hannah%20Markwig | Hannah Markwig (born 19 November 1980) is a German mathematician specializing in tropical geometry. In 2010 she won both the Heinz Maier-Leibnitz Prize of the Deutsche Forschungsgemeinschaft and the Helene Lange Prize for her research.
Markwig studied mathematics at the University of Kaiserslautern beginning in 1999, and completed her PhD there in 2006. Her dissertation, supervised by Andreas Gathmann and reviewed by Bernd Sturmfels, was The Enumeration of Plane Tropical Curves. After postdoctoral study at the Institute for Mathematics and its Applications and the University of Michigan, she became an assistant professor in the Courant Research Center at the University of Göttingen. She moved in 2011 to Saarland University, and then in 2016 to the University of Tübingen, where she is a professor of geometry in the department of mathematics.
References
External links
1980 births
Living people
21st-century German mathematicians
German women mathematicians
University of Michigan fellows
Technical University of Kaiserslautern alumni
Academic staff of the University of Göttingen
Academic staff of Saarland University
Academic staff of the University of Tübingen
21st-century German women |
https://en.wikipedia.org/wiki/Siobhan%20Roberts | Siobhan Roberts is a Canadian science journalist, biographer, and historian of mathematics.
Education
Roberts was born in Belleville, Ontario. She earned a degree in history at Queen's University, then a graduate degree in journalism from Ryerson University in 1997.
Books
Roberts is the author of:
King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry, about Harold Scott MacDonald Coxeter (Walker & Company, 2006), winner of the Euler Book Prize of the Mathematical Association of America
Wind Wizard: Alan G. Davenport and the Art of Wind Engineering, about Alan Garnett Davenport (Princeton University Press, 2012), winner of the W. Gordon Plewes History Award of the Canadian Society for Civil Engineering
Genius At Play: The Curious Mind of John Horton Conway, about John Horton Conway (Bloomsbury, 2015)
Recognition
Roberts has won a number of Canadian National Magazine Awards, and she is the winner of the Communications Award of the Joint Policy Board for Mathematics "for her engaging biographies of eminent mathematicians and articles about mathematics".
References
External links
Home page
Year of birth missing (living people)
Living people
Toronto Metropolitan University alumni
Historians of mathematics
21st-century Canadian journalists
Canadian women journalists
Canadian women historians
21st-century Canadian historians
21st-century Canadian women writers
Queen's University at Kingston alumni
Writers from Belleville, Ontario |
https://en.wikipedia.org/wiki/Marco%20Antonio%20%28footballer%2C%20born%201997%29 | Marco Antonio Rosa Furtado Júnior (born 1 October 1997), known as Marco Antônio, is a Brazilian footballer who plays as a midfielder for Chapecoense on loan from Bahia.
Career statistics
Honours
Botafogo
Campeonato Brasileiro Série B: 2021
Bahia
Campeonato Baiano: 2018, 2019, 2020
References
External links
1997 births
Living people
Brazilian men's footballers
Footballers from Belém
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Esporte Clube Bahia players
Botafogo de Futebol e Regatas players
Atlético Clube Goianiense players |
https://en.wikipedia.org/wiki/Carlo%20Lattanzio | Carlo Lattanzio (born July 25, 1997, in La Plata, Argentina) is an Argentine professional footballer who plays for Quilmes, on loan from Estudiantes LP.
Career statistics
References
External links
1997 births
Living people
Argentine men's footballers
Men's association football forwards
Footballers from La Plata
Estudiantes de La Plata footballers
Estudiantes de Buenos Aires footballers
Central Córdoba de Santiago del Estero footballers
Club Atlético Platense footballers
Quilmes Atlético Club footballers
Argentine Primera División players
Primera Nacional players |
https://en.wikipedia.org/wiki/Gail%20S.%20Nelson | Gail Susan Nelson (born 1959) is a mathematician who works as a professor of mathematics at Carleton College.
Education and career
Nelson did her undergraduate studies at the University of North Dakota.
She completed her Ph.D. in 1988 at the University of Minnesota. Her dissertation concerned partial differential equations, and was supervised by Eugene Barry Fabes; it was Bounds for the Fundamental Solutions of Degenerate Parabolic Partial Differential Equations.
She joined the Carleton College faculty in the same year.
Books
Nelson is the author of two textbooks in mathematics:
Recurrence and Topology (with John M. Alongi, Graduate Studies in Mathematics 85, American Mathematical Society, 2007), on dynamical systems.
A User-Friendly Introduction to Lebesgue Measure and Integration (Student Mathematical Library 78, American Mathematical Society, 2015), on Lebesgue integration.
She is also the editor-in-chief of the "Problem Books" book series of the Mathematical Association of America.
References
External links
Home page
1959 births
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of North Dakota alumni
University of Minnesota alumni
Carleton College faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Pep%C3%A9%20Alves | Pedro "Pepé" Correia Alves (born 17 September 1999) is an Angolan footballer who currently plays as a defender for Progresso Sambizanga.
Career statistics
Club
Notes
International
References
1999 births
Living people
Angolan men's footballers
Angola men's international footballers
Men's association football defenders
Progresso Associação do Sambizanga players
C.D. Primeiro de Agosto players
Girabola players
Angola men's under-20 international footballers |
https://en.wikipedia.org/wiki/Luan%20Silva%20%28footballer%2C%20born%201999%29 | Luan Silva dos Santos (born 26 February 1999) is a Brazilian footballer who plays as a forward.
Career statistics
Club
Honours
Palmeiras
Campeonato Paulista: 2020
Copa Libertadores: 2020
Copa do Brasil: 2020
References
1999 births
Living people
Footballers from Salvador, Bahia
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série A players
Esporte Clube Vitória players
Sociedade Esportiva Palmeiras players
Brazil men's under-20 international footballers
Campeonato Brasileiro Série B players |
https://en.wikipedia.org/wiki/Functional%20correlation | In statistics, functional correlation is a dimensionality reduction technique used to quantify the correlation and dependence between two variables when the data is functional. Several approaches have been developed to quantify the relation between two functional variables.
Overview
A pair of real valued random functions and with , a compact interval, can be viewed as realizations of square-integrable stochastic process in a Hilbert space. Since both and are infinite dimensional, some kind of dimension reduction is required to explore their relationship. Notions of correlation for functional data include the following.
Functional canonical correlation coefficient (FCCA)
FCCA is a direct extension of multivariate canonical correlation. For a pair of random functions and the first canonical coefficient is defined as:
where denotes the inner product in Lp space (p=2) i.e.
The canonical coefficient , given is defined as:
where is uncorrelated with all previous pairs .
Thus FCCA implements projections in the directions of and for and respectively, such that their linear combinations (inner products) are maximally correlated. and are uncorrelated if all their canonical correlations are zero, equivalently, if and only if .
Alternative formulation
The cross-covariance operator for two random functions and defined as and analogously the auto covariance operators for , for and using , the canonical coefficient in (2) can be re-written as,
,
where is uncorrelated with all previous pairs
Maximizing (3) is equivalent to finding eigenvalues and eigenvectors of the operator .
Challenges
Since and are compact operators, the square root of the auto-covariance operator of processes may not be invertible. So the existence of and hence computing its eigenvalues and eigenvectors is an ill-posed problem. As a consequence of this inverse problem, overfitting may occur which may lead to an unstable correlation coefficient. Due to this inverse problem, tends to be biased upwards and therefore close to 1 and hence is difficult to interpret. FCCA also requires densely recorded functional data so that the inner products in (2) can be accurately evaluated.
Possible solutions
Some possible solutions to this problem have been discussed.
By restricting the maximization of (1) to discrete sequence spaces that are restricted to a reproducing kernel Hilbert space instead of entire
Using cross-validation to regularize the FCCA in practical implementation.
Functional singular correlation analysis (FSCA)
FSCA bypasses the inverse problem by simply replacing the objective function by covariance in place of correlation in (2). FSCA aims to quantify the dependency of by implementing the concept of functional singular-value decomposition for the cross-covariance operator. FSCA can be viewed as an extension of analyses using singular-value decomposition of vector data to functional data. For a pair of random functions and with smoo |
https://en.wikipedia.org/wiki/Pablo%20Pardal | Pablo Silva de Lara (born 21 April 1999), commonly known as Pablo Pardal, is a Brazilian footballer who currently plays as a midfielder for FC Cascavel, on loan from Sport Recife.
Career statistics
Club
Notes
References
External links
1999 births
Living people
Brazilian men's footballers
Brazil men's youth international footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Sport Club do Recife players |
https://en.wikipedia.org/wiki/Kang%20Kuk-chol%20%28footballer%2C%20born%201999%29 | Kang Kuk-chol (; born 29 September 1999) is a North Korean footballer who currently plays as a defender for Rimyongsu.
Career statistics
International
References
External links
Kang Kuk-chol at DPRKFootball
1999 births
Living people
North Korean men's footballers
North Korea men's international footballers
North Korea men's youth international footballers
Men's association football defenders
Rimyongsu Sports Club players
Footballers at the 2018 Asian Games
2019 AFC Asian Cup players
Asian Games competitors for North Korea |
https://en.wikipedia.org/wiki/Thomas%20G%C3%B6sweiner | Thomas Gösweiner (born 3 March 1995) is an Austrian footballer currently playing as a forward for Hessen Kassel of the German Regionalliga Südwest.
Career statistics
Club
Notes
References
1995 births
Living people
Austrian men's footballers
Austria men's youth international footballers
Men's association football forwards
FC Admira Wacker Mödling players
SK Sturm Graz players
Wormatia Worms players
TSG 1899 Hoffenheim II players
SV Elversberg players
FC 08 Homburg players
Austrian Football Bundesliga players
Austrian Regionalliga players
Regionalliga players
Austrian expatriate men's footballers
Austrian expatriate sportspeople in Germany
Expatriate men's footballers in Germany
People from Leoben |
https://en.wikipedia.org/wiki/Cristina%20Pereyra | María Cristina Pereyra (born 1964) is a Venezuelan mathematician. She is a professor of mathematics and statistics at the University of New Mexico, and the author of several books on wavelets and harmonic analysis. Pereyra was an American Mathematical Society (AMS) Council member at large from 2019 - 2021.
Education and employment
Pereyra was a member of the Venezuelan team for the 1981 and 1982 International Mathematical Olympiads. She earned a licenciado (the equivalent of a bachelor's degree) in mathematics in 1986 from the Central University of Venezuela.
She went to Yale University for graduate studies, completing her Ph.D. there in 1993. Her dissertation, Sobolev Spaces On Lipschitz Curves: Paraproducts, Inverses And Some Related Operators, was supervised by Peter Jones. After working for three years as an instructor at Princeton University, she joined the University of New Mexico faculty in 1996.
Books
Pereyra is the author or editor of:
Lecture Notes on Dyadic Harmonic Analysis (Second Summer School in Analysis and Mathematical Physics, Cuernavaca, 2000; Contemporary Mathematics 289, American Mathematical Society, 2001)
Wavelets, Their Friends, and What They Can Do For You (with Martin Mohlenkamp, EMS Lecture Series in Mathematics, European Mathematical Society, 2008)
Harmonic Analysis: from Fourier to Wavelets (with Lesley Ward, Student Mathematical Library 63, American Mathematical Society, 2012)
Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life, Vols. I, II (edited with S. Marcantognini, A. M. Stokolos, and W. Urbina, Association for Women in Mathematics Series, Springer, 2016 and 2017)
References
External links
Home page
1964 births
Living people
Venezuelan mathematicians
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Central University of Venezuela alumni
Yale University alumni
Princeton University faculty
University of New Mexico faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Modeshape | In applied mathematics, mode shapes are a manifestation of eigenvectors which describe the relative displacement of two or more elements in a mechanical system or wave front.
A mode shape is a deflection pattern related to a particular natural frequency and represents the relative displacement of all parts of a structure for that particular mode.
See also
Normal mode
Harmonic oscillator
References
Linear algebra
Vectors (mathematics and physics) |
https://en.wikipedia.org/wiki/Fuchs%20relation | In mathematics, the Fuchs relation is a relation between the starting exponents of formal series solutions of certain linear differential equations, so called Fuchsian equations. It is named after Lazarus Immanuel Fuchs.
Definition Fuchsian equation
A linear differential equation in which every singular point, including the point at infinity, is a regular singularity is called Fuchsian equation or equation of Fuchsian type. For Fuchsian equations a formal fundamental system exists at any point, due to the Fuchsian theory.
Coefficients of a Fuchsian equation
Let be the regular singularities in the finite part of the complex plane of the linear differential equation
with meromorphic functions . For linear differential equations the singularities are exactly the singular points of the coefficients. is a Fuchsian equation if and only if the coefficients are rational functions of the form
with the polynomial and certain polynomials for , such that . This means the coefficient has poles of order at most , for .
Fuchs relation
Let be a Fuchsian equation of order with the singularities and the point at infinity. Let be the roots of the indicial polynomial relative to , for . Let be the roots of the indicial polynomial relative to , which is given by the indicial polynomial of transformed by at . Then the so called Fuchs relation holds:
.
The Fuchs relation can be rewritten as infinite sum. Let denote the indicial polynomial relative to of the Fuchsian equation . Define as
where gives the trace of a polynomial , i. e., denotes the sum of a polynomial's roots counted with multiplicity.
This means that for any ordinary point , due to the fact that the indicial polynomial relative to any ordinary point is . The transformation , that is used to obtain the indicial equation relative to , motivates the changed sign in the definition of for . The rewritten Fuchs relation is:
References
Complex analysis
Differential equations |
https://en.wikipedia.org/wiki/Viktor%20Korolev | Viktor Korolev () (born 1954) is a Russian scientist in the field of mathematical statistics, Professor, Dr. Sc., a professor at the Faculty of Computer Science at the Moscow State University.
He defended the thesis «Limit distributions of random sequences with independent random indices and some of their applications» for the degree of Doctor of Physical and Mathematical Sciences (1994).
Author of 27 books and more than 340 scientific articles.
References
Bibliography
External links
Annals of the Moscow University
MSU CMC
Scientific works of Viktor Korolev
Scientific works of Viktor Korolev
Russian computer scientists
Russian mathematicians
Living people
1954 births
Academic staff of Moscow State University
Moscow State University alumni |
https://en.wikipedia.org/wiki/National%20Crime%20Recording%20Standards%20in%20England%20and%20Wales | In England and Wales, the principle of the National Crime Recording Standard is to direct how statistics about notifiable offences are collected by police forces. An important distinction is made between notifiable offence recording and police incident reporting. The National Crime Recording Standard is about how statistics about notifiable offences are recorded. The National Standard for Incident Recording direct how information and statistics about police non-crime incidents are recorded. The Government has delegated the task of inspecting a police forces compliance with the National Crime Recording Standard to Her Majesty’s Inspectorate of Constabulary and Fire Rescue Service (HMICFS), previously called Her Majesty’s Inspectorate of Constabulary.
History
Since the 1920s, there have been processes for determining how police forces record notifiable Offence statistics. In 1998, The system was substantially changed. In 2002, a National Crime Recording Standard was introduced due to inconsistencies about how different police forces interpreted the crime recording rules.
A Home Office paper, published in 2014, was critical of the notifiable offence statistics provided by police forces. In 2014, Her Majesty’s Inspectorate of Constabulary (HMIC), published the report, ‘Crime Recording-Making the Victim Count’. The report stated that overall notifiable offence recording was ‘inexcusably poor’, but identified that some police forces more satisfactorily recorded notifiable offences than others did. It found that an estimated 19% of notifiable offences reported to the police were not included in the statistics, notifiable offences reported to the police were without good reason 'no crimed' and removed by the police force from their statistics, and frequently victims were not informed of that decision. The authors of the report invited all police forces to respond to it.
Government response
The Home Secretary delegates the responsibility for inspecting police forces to Her Majesty’s Inspectorate of Constabulary and Fire Rescue Service using powers invested in them by the Police Act 1996. On Friday 6 November 2015, all Chief Constables of police forces in England and Wales were informed that crime-recording practice would become part of police inspection reports. Her Majesty’s Inspectorate of Constabulary and Fire Rescue Service reports findings about how a police force is complying with crime recording standards is published on its website.
Home Office counting rules
The Home Office decides and lists what is a notifiable offence, and when and how they must be recorded. It requires recording notifiable offences against both the State and those against identifiable victims. It unambiguously states that the decision must be victim focused, following the ethos of the Code of Practice for Victims of Crime, and victims believed. It remarks that,
‘A belief by the victim or person reasonably assumed to be acting on behalf of the victim, that victim |
https://en.wikipedia.org/wiki/TS%20ECET | Telangana State Engineering Common Entrance Test (TSECET) is a standardized entrance examination for Diploma and B.Sc mathematics students to enter into Bachelor of Engineering, Bachelor of Technology and Bachelor of Pharmacy programs in Telangana State, India. It is conducted by Jawaharlal Nehru Technological University, Hyderabad on behalf of Telangana State Council of Higher Education (TS ECET)
TS ECET 2020 exam is administered by Jawaharlal Nehru Technological University, Hyderabad across 14 regional centers in the states of Telangana and Andhra Pradesh.
TS ECET 2020 was held on 31-08-2020. TS ECET 2022 was scheduled for 12 July 2022. However, due to heavy rains in Telangana, the TS ECET 2022 has been postponed. New dates will be shared soon.
History
TS ECET was formerly ECET examination conducted by Andhra Pradesh until 2014 (before formation of Telangana in 2 June 2014).
ECET exam used to be conducted by Andhra Pradesh State Council of Higher Education administered by universities Jawaharlal Nehru Technological University, Kakinada and Jawaharlal Nehru Technological University, Hyderabad until 2014.
Later from 2015 it is conducted as TS ECET conducted by Telangana State Council of Higher Education and AP ECET by Andhrapradesh State Council of Higher Education.
Prerequisites
The minimum prerequisites for taking the TSECET are:
Diploma of Engineering, Diploma of Technology, Diploma of Pharmacy or equivalent, depending on the program applied for. A Bachelor of Science in Mathematics is also acceptable. Diplomas are accredited by the Telangana Board of Technical Education, with appropriate optional subjects or its equivalent.
Needs to be born in Telangana State or Andhra Pradesh.
Candidates who have acquired Diplomas in the Fields of Engineering, Technology or Pharmacy by enrolling into schools recognized by the All India Council for Technical Education are eligible to apply, and candidates who have a Bachelor of Science in Mathematics are also eligible to apply.
12th grade students are students are not eligible to apply as they don't possess either a Diploma Degree or Bachelor of Science in Mathematics
Candidates should have earned a Diploma in one of the following areas of study: Engineering and Technology, Pharmacy or a B.Sc Degree in Mathematics with at least 45% marks (40% in case of candidates belonging to reserved category {So, where is a list of the Reserved Categories?}) for entry into relevant courses.
application fee of INR 500/-.
Exam structure
The exam is structured differently for Engineering Stream and Pharmacy Stream. Within Engineering Stream, the exam format differs slightly between Diploma students and Bachelor of Science Math students.
Engineering stream
Diploma students exam pattern
Write a Mock test from official website to get detailed information on Online Examination.
Bachelor of Science in Mathematics students exam pattern
Pharmacy stream
Diploma in Pharmacy students exam pattern
Qualifying marks
|
https://en.wikipedia.org/wiki/Lobos%20Island%20%28Rio%20Negro%29 | {
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Lobos (Spanish: Isla de Lobos, pronounced [ˈizla ðe ˈloβos]) is a big island in Uruguay, at the confluence of Negro River (Spanish: Río Negro) and Uruguay River. Politically it belongs to Rio Negro department. Up to the 19th century, the island was actually three islets, the largest called Vizcaíno, same as the island across the .
Lobos and Vizcaino Island were the debarkation site of the first bovine herd in the Eastern margin of the Uruguay River. In 1611, Hernando Arias de Saavedra (Hernandarias) left heifers and bulls for breeding, and repeated the action in 1617. These herds rapidly propagated originating Uruguay present export quality rodeo. It also had an important role in the foundation of Villa Soriano, the first European settlement in Uruguay.
Origin of name
The island name comes from the abundant otter colonies. At one time there were giant river otters (Ptenoura brasiliensis paraguensis, Spanish: Lobo de río) now believed extinct, but the name may also refer to the still plentiful long tailed river otter (Lontra longicaudis, Spanish: Lobito de río).
Geography
Lobos is one of the largest islands () in the delta formed at the confluence of Uruguay and Negro Rivers. Born in the southern Brazil highlands 750 km away, at its end Negro River splits in two main water courses that meet the Uruguay: Yaguarí Mouth (Spanish: Boca del Yaguarí) to the Northeast and False Mouth (Spanish: Boca falsa) to the Southwest, with Lobos Island between them. All sides of the vaguely triangular island have different water flows: Yaguarí creek (Spanish: Brazo del Yaguarí) is a narrow deep channel that changes flow direction when Uruguay River is high, while at the Negro River at the False Mouth is very wide but much shallower, only navigable for small draft vessels. Uruguay River, on the other hand has a large width at this point, with a navigable channel deep enough for cargo vessels coming and going from main cargo ports up and downstream: Fray Bentos and Nueva Palmira. Other islands in the delta are Yaguarí and Vizcaíno on the right bank of Yaguarí Creek, and Redonda, del Medio, Pepe Ladrón, Santiago Chico and Villeta Islands on the False Mouth.
The island has three distinct geological zones. The wetlands (CONEAT 03.11) along the Uruguay River coast are low with a coastal dune that is overcome by floods and then retains the water. The other two coasts (CONEAT 03.2) are of medium height, formed by old river sediments of sand and clay. They are slowly flooded when the Uruguay River level rises and prevents the Negro to flow. Soils have high fertility and poor drainage, covered by native trees and shrubs. The prairie (CONEAT 03.3) is the highest level due to a crystalline basement, with fert |
https://en.wikipedia.org/wiki/Jean%20E.%20Rubin | Jean Estelle Hirsh Rubin (October 29, 1926 – October 25, 2002) was an American mathematician known for her research on the axiom of choice. She worked for many years as a professor of mathematics at Purdue University. Rubin wrote five books: three on the axiom of choice, and two more on more general topics in set theory and mathematical logic.
Education and career
Jean Hirsch was born in New York City, graduated from Queens College, City University of New York in 1948, and completed a master's degree at Columbia University in 1949. She did her doctoral studies at Stanford University,
during which time she married and changed her name to Jean Rubin. She completed her Ph.D. at Stanford in 1955. Her dissertation, jointly supervised by J.C.C. McKinsey and Patrick Suppes, was Bi-Modal Logic, Double Closure Algebras and Hilbert Space.
She became a lecturer at the University of Oregon and, in 1960, an assistant professor at Michigan State University. In 1967, she moved again, to Purdue University, where she remained for the rest of her career.
Personal life
Rubin was married to statistician Herman Rubin, with whom she wrote two of her books. Their son is mathematician and aerospace engineer Arthur Rubin.
Books
Rubin was the author or co-author of:
Equivalents of the Axiom of Choice (with Herman Rubin, Studies in Logic and the Foundations of Mathematics 34, North-Holland, 1963; 2nd ed., Studies in Logic and the Foundations of Mathematics 116, 1985)
Set Theory for the Mathematician (Holden-Day, 1967)
Mathematical Logic: Applications and Theory (Saunders, 1990)
Consequences of the Axiom of Choice (with Paul Howard, Mathematical Surveys and Monographs 59, American Mathematical Society, 1998)
References
1926 births
2002 deaths
20th-century American mathematicians
American women mathematicians
Queens College, City University of New York alumni
Columbia University alumni
20th-century women mathematicians
Set theorists
20th-century American women |
https://en.wikipedia.org/wiki/List%20of%20Atlanta%20United%20FC%20records%20and%20statistics | Atlanta United FC is an American professional soccer team based in Atlanta, Georgia that competes in Major League Soccer (MLS).
This is a list of franchise records for Atlanta United, which dates from their inaugural season in 2017 to present.
Honors
MLS Cup
Winners: 2018
Campeones Cup
Winners: 2019
Eastern Conference (playoffs)
Winners: 2018
U.S. Open Cup
Winners: 2019
Player records
Most appearances
Goals
Assists
Shutouts
Hat Tricks
Coaching records
Trophies
List of seasons
Transfer records
Highest transfer fees paid
Highest transfer fees received
International results
By competition
(Includes CONCACAF Champions League, Campeones Cup, and Leagues Cup)
By club
(Includes CONCACAF Champions League, Campeones Cup, and Leagues Cup)
By country
(Includes CONCACAF Champions League, Campeones Cup, and Leagues Cup)
By season
Individual honors
MLS MVP
MLS Best XI
Coach of the Year
Golden Boot
Newcomer of the Year
Rookie of the Year
MLS Cup MVP
All-Star Game MVP
Goal of the Year
Save of the Year
References
Records
Atlanta United
Atlanta United FC records and statistics
Atlanta United FC players |
https://en.wikipedia.org/wiki/Hugo%20Duminil-Copin | Hugo Duminil-Copin (born 26 August 1985) is a French mathematician specializing in probability theory. He was awarded the Fields Medal in 2022.
Biography
The son of a middle school sports teacher and a former female dancer who became a primary school teacher, Duminil-Copin grew up in the outer suburbs of Paris, where he played a lot of sports as a child, and initially considered attending a sports-oriented high school to pursue his interest in handball. He decided to attend a school focused on mathematics and science, and enrolled at the Lycée Louis-le-Grand in Paris, then at the École normale supérieure (Paris) and the University Paris-Sud. He decided to focus on math instead of physics, because he found the rigour of mathematical proof more satisfying, but developed an interest in percolation theory, which is used in mathematical physics to address issues in statistical mechanics. In 2008, he moved to the University of Geneva to write a PhD thesis under Stanislav Smirnov. Duminil-Copin and Smirnov used percolation theory and the vertices and edges connecting them in a lattice to model fluid flow and with it phase transitions. The pair investigated the number of self-avoiding walks that were possible in hexagonal lattices, connecting combinatorics to percolation theory. This was published in the Annals of Mathematics in 2012, the same year in which Duminil-Copil was awarded his PhD at the age of 27.
In 2013, after his postdoctorate, Duminil-Copin was appointed assistant professor, then full professor in 2014 at the University of Geneva. In 2016, he became permanent professor at the Institut des Hautes Études Scientifiques. Since 2019, he has been member of the Academia Europaea.
Since 2017, Duminil-Copin has been the principal investigator of the European Research Council – Starting Grant “Critical behavior of lattice models (CriBLam)”. He is a member of the Laboratory Alexander Grothendieck, a CNRS joint research unit with IHES.
Duminil-Copin's work focuses on the mathematical area of statistical physics. Duminil-Copin uses ideas from probability theory to study the critical behavior of various models on networks. His work focuses on identifying the critical point at which phase transitions occur, what happens at the critical point, and the behaviour of the system just above and below the critical point. He has been working on dependent percolation models whereby the state of an edge in one part of a lattice will affect the state of edges elsewhere, to shed light of Ising models, which are used to study phase transitions in ferromagnetic materials. In collaboration with Vincent Beffara in 2011, he was able to produce a formula for a determining the critical point for many two-dimensional dependent percolation models. In 2019, along with Vincent Tassion and Aran Raoufi, he published research on the size of connected components in the lattice when the system is just below and above the critical point. They showed that below the critical point |
https://en.wikipedia.org/wiki/Portrayal%20of%20women%20scientists%20in%20film | Films have portrayed professional women in science, technology, engineering, and mathematics (STEM) fields in various ways throughout film history.
Overview
The study of female characters in film began with movements from the 1960s and 1970s in the form of second-wave feminism, the rise of independent films, and the beginning of academic film studies. Some films promote certain socially defined female stereotypical archetypes that often combine job stereotypes with gender stereotypes. The use of these stereotypes in film has been suggested to contribute to a questionable portrayal of women, especially revolving around themes of violence, sexuality, objectification, and subordination.
Examples of female scientists in film
Early 20th Century
The presentation of women as scientists on film goes back to the early days of cinema.
The first known presentation may be 1929's Woman in the Moon. Written by Thea von Harbou and directed by Fritz Lang, the film follows a group of Germans as they travel to the Moon. The group includes Friede Velten, an assistant on the trip, who chooses between two potential husbands and ultimately decides to stay on the Moon and live a new life there.
It would take almost 10 years before another woman scientist would appear onscreen. When she did, Alice Swallow was a side character, a hard-worker who was too busy to get married to Cary Grant, who turned to fun-loving socialite Katharine Hepburn instead. Nevertheless, 1938's Bringing up Baby showed millions of people around the world a level-headed, independent woman who did not need to rely on a man to move her life forward.
The earliest portrayal of a real-life woman scientist may be the 1943 film Madame Curie starring Greer Garson as Polish-French physicist Marie Curie in 1890s Paris.
These portrayals in A-list movies were rare and it would take decades before they become more common-place. However, the 1950s saw a proliferation of low-budget American B-movies which show-cased female scientists and post-graduates. They were normally associated with a male boss and involved in a romantic storyline, as well as a scientific one.
One of the earliest B-movie portrayals of a fictional qualified scientist may be 1951's FLight to Mars which tells the story of male engineer and his assistant Carol Stafford, who earned her degree in "spaceship engineering".
1951 also saw Unknown World where a group of scientists, including Dr Joan Lindsey, drill into the earth to create an underground environment where humanity could escape and survive a future nuclear holocaust.
Late 20th Century
After the Swinging Sixties in the west, women began to feature front and centre of large-budget movies, often in a more serious tone.
An early example was the 1970 film The Andromeda Strain which showed Dr Ruth Leavitt as one of several scientists investigating a deadly organism of extraterrestrial origin.
Other examples include;
Gorillas in the Mist (1988)
Gorillas in the Mist is a film based |
https://en.wikipedia.org/wiki/Connected%20relation | In mathematics, a relation on a set is called connected or complete or total if it relates (or "compares") all pairs of elements of the set in one direction or the other while it is called strongly connected if it relates pairs of elements. As described in the terminology section below, the terminology for these properties is not uniform. This notion of "total" should not be confused with that of a total relation in the sense that for all there is a so that (see serial relation).
Connectedness features prominently in the definition of total orders: a total (or linear) order is a partial order in which any two elements are comparable; that is, the order relation is connected. Similarly, a strict partial order that is connected is a strict total order.
A relation is a total order if and only if it is both a partial order and strongly connected. A relation is a strict total order if, and only if, it is a strict partial order and just connected. A strict total order can never be strongly connected (except on an empty domain).
Formal definition
A relation on a set is called when for all
or, equivalently, when for all
A relation with the property that for all
is called .
Terminology
The main use of the notion of connected relation is in the context of orders, where it is used to define total, or linear, orders. In this context, the property is often not specifically named. Rather, total orders are defined as partial orders in which any two elements are comparable.
Thus, is used more generally for relations that are connected or strongly connected. However, this notion of "total relation" must be distinguished from the property of being serial, which is also called total. Similarly, connected relations are sometimes called , although this, too, can lead to confusion: The universal relation is also called complete, and "complete" has several other meanings in order theory.
Connected relations are also called or said to satisfy (although the more common definition of trichotomy is stronger in that of the three options must hold).
When the relations considered are not orders, being connected and being strongly connected are importantly different properties. Sources which define both then use pairs of terms such as and , and , and , and , or and , respectively, as alternative names for the notions of connected and strongly connected as defined above.
Characterizations
Let be a homogeneous relation. The following are equivalent:
is strongly connected;
;
;
is asymmetric,
where is the universal relation and is the converse relation of
The following are equivalent:
is connected;
;
;
is antisymmetric,
where is the complementary relation of the identity relation and is the converse relation of
Introducing progressions, Russell invoked the axiom of connection:
Properties
The relation of a tournament graph is always a connected relation on the set of s vertices.
If a strongly connected relation is |
https://en.wikipedia.org/wiki/Periodic%20table%20of%20topological%20invariants | The periodic table of topological invariants is an application of topology to physics. It indicates the group of topological invariant for topological insulators and superconductors in each dimension and in each discrete symmetry class.
Discrete symmetry classes
There are ten discrete symmetry classes of topological insulators and superconductors, corresponding to the ten Altland–Zirnbauer classes of random matrices. They are defined by three symmetries of the Hamiltonian , (where , and , are the annihilation and creation operators of mode , in some arbitrary spatial basis) : time reversal symmetry, particle hole (or charge conjugation) symmetry, and chiral (or sublattice) symmetry.
Chiral symmetry is a unitary operator , that acts on , as a unitary rotation (,) and satisfies . A Hamiltonian possesses chiral symmetry when , for some choice of (on the level of first-quantised Hamiltonians, this means and are anticommuting matrices).
Time reversal is an antiunitary operator , that acts on , (where , is an arbitrary complex coefficient, and , denotes complex conjugation) as . It can be written as where is the complex conjugation operator and is a unitary matrix. Either or . A Hamiltonian with time reversal symmetry satisfies , or on the level of first-quantised matrices, , for some choice of .
Charge conjugation is also an antiunitary operator which acts on as , and can be written as where is unitary. Again either or depending on what is. A Hamiltonian with particle hole symmetry satisfies , or on the level of first-quantised Hamiltonian matrices, , for some choice of .
In the Bloch Hamiltonian formalism for periodic crystals, where the Hamiltonian acts on modes of crystal momentum , the chiral symmetry, TRS, and PHS conditions become , and .
It is evident that if two of these three symmetries are present, then the third is also present, due to the relation .
The aforementioned discrete symmetries label 10 distinct discrete symmetry classes, which coincide with the Altland–Zirnbauer classes of random matrices.
Equivalence classes of Hamiltonians
A bulk Hamiltonian in a particular symmetry group is restricted to be a Hermitian matrix with no zero-energy eigenvalues (i.e. so that the spectrum is "gapped" and the system is a bulk insulator) satisfying the symmetry constraints of the group. In the case of dimensions, this Hamiltonian is a continuous function of the parameters in the Bloch momentum vector in the Brillouin zone; then the symmetry constraints must hold for all .
Given two Hamiltonians and , it may be possible to continuously deform into while maintaining the symmetry constraint and gap (that is, there exists continuous function such that for all the Hamiltonian has no zero eigenvalue and symmetry condition is maintained, and and ). Then we say that and are equivalent.
However, it may also turn out that there is no such continuous deformation. in this case, physically if two materials with bulk Ham |
https://en.wikipedia.org/wiki/Algorithms%20and%20Combinatorics | Algorithms and Combinatorics () is a book series in mathematics, and particularly in combinatorics and the design and analysis of algorithms. It is published by Springer Science+Business Media, and was founded in 1987.
Books
, the books published in this series include:
The Simplex Method: A Probabilistic Analysis (Karl Heinz Borgwardt, 1987, vol. 1)
Geometric Algorithms and Combinatorial Optimization (Martin Grötschel, László Lovász, and Alexander Schrijver, 1988, vol. 2; 2nd ed., 1993)
Systems Analysis by Graphs and Matroids (Kazuo Murota, 1987, vol. 3)
Greedoids (Bernhard Korte, László Lovász, and Rainer Schrader, 1991, vol. 4)
Mathematics of Ramsey Theory (Jaroslav Nešetřil and Vojtěch Rödl, eds., 1990, vol. 5)
Matroid Theory and its Applications in Electric Network Theory and in Statics (Andras Recszki, 1989, vol. 6)
Irregularities of Partitions: Papers from the meeting held in Fertőd, July 7–11, 1986 (Gábor Halász and Vera T. Sós, eds., 1989, vol. 8)
Paths, Flows, and VLSI-Layout: Papers from the meeting held at the University of Bonn, Bonn, June 20–July 1, 1988 (Bernhard Korte, László Lovász, Hans Jürgen Prömel, and Alexander Schrijver, eds., 1990, vol. 9)
New Trends in Discrete and Computational Geometry (János Pach, ed., 1993, vol. 10)
Discrete Images, Objects, and Functions in (Klaus Voss, 1993, vol. 11)
Linear Optimization and Extensions (Manfred Padberg, 1999, vol. 12)
The Mathematics of Paul Erdös I (Ronald Graham and Jaroslav Nešetřil, eds., 1997, vol. 13)
The Mathematics of Paul Erdös II (Ronald Graham and Jaroslav Nešetřil, eds., 1997, vol. 14)
Geometry of Cuts and Metrics (Michel Deza and Monique Laurent, 1997, vol. 15)
Probabilistic Methods for Algorithmic Discrete Mathematics (M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed, 1998, vol. 16)
Modern Cryptography, Probabilistic Proofs and Pseudorandomness (Oded Goldreich, 1999, vol. 17)
Geometric Discrepancy: An Illustrated Guide (Jiří Matoušek, 1999, vol. 18)
Applied Finite Group Actions (Adalbert Kerber, 1999, vol. 19)
Matrices and Matroids for Systems Analysis (Kazuo Murota, 2000, vol. 20; corrected ed., 2010)
Combinatorial Optimization (Bernhard Korte and Jens Vygen, 2000, vol. 21; 5th ed., 2012)
The Strange Logic of Random Graphs (Joel Spencer, 2001, vol. 22)
Graph Colouring and the Probabilistic Method (Michael Molloy and Bruce Reed, 2002, Vol. 23)
Combinatorial Optimization: Polyhedra and Efficiency (Alexander Schrijver, 2003, vol. 24. In three volumes: A. Paths, flows, matchings; B. Matroids, trees, stable sets; C. Disjoint paths, hypergraphs)
Discrete and Computational Geometry: The Goodman-Pollack Festschrift (B. Aronov, S. Basu, J. Pach, and M. Sharir, eds., 2003, vol. 25)
Topics in Discrete Mathematics: Dedicated to Jarik Nešetril on the Occasion of his 60th birthday (M. Klazar, J. Kratochvíl, M. Loebl, J. Matoušek, R. Thomas, and P. Valtr, eds., 2006, vol. 26)
Boolean Function Complexity: Advances and Frontiers (Stasys Jukna, 2012, Vol. 27)
Sparsity: Graphs, |
https://en.wikipedia.org/wiki/Joseph%20Diestel | Joseph Diestel (January 27, 1943 – August 17, 2017) was an American mathematician and Professor of Mathematics at Kent State University. In addition to his contribution to functional analysis, particularly Banach space theory and the theory of vector measures, Diestel was known for a number of highly influential textbooks: in 1975 he published "Lecture Notes Geometry of Banach Spaces—Selected Topics"; in 1977, he published "Vector Measures" with J. Jerry Uhl; in 1984, published "Sequences and series in Banach spaces" and in 1995 he published "Absolutely summing operators" with H. Jarchow and A. Tonge; as well as a number of other books.
Diestel received his Ph.D. degree in 1969 from Catholic University of America under Victor Michael Bogdan. He had 29 graduate students and over 46 mathematical descendants.
References
American mathematicians
1943 births
2017 deaths
Kent State University faculty
Catholic University of America alumni |
https://en.wikipedia.org/wiki/Aissa%20Wade | Aissa Wade is a Professor of Mathematics at Pennsylvania State University. She was the President of the African Institute for Mathematical Sciences centre in Senegal (from 2016 to 2018).
Early life and education
Wade was born in Dakar, Senegal. She studied mathematics at Cheikh Anta Diop University and graduated in 1993. She had to leave Senegal to earn a Ph.D. as there were no opportunities in Africa. Wade earned her Ph.D. at the University of Montpellier in 1996. Her thesis, "Normalisation formelle de structures de Poisson", considered symplectic geometry. Her doctoral advisor was Jean Paul Dufour.
Career
Wade became a postdoctoral researcher at the Abdus Salam International Centre for Theoretical Physics, where she worked on conformal Dirac structures. She held visiting faculty positions at University of North Carolina at Chapel Hill, African University of Science and Technology and Paul Sabatier University. Wade joined Pennsylvania State University and was appointed full professor in 2016.
She served as a managing editor of The African Diaspora Journal of Mathematics. She is editor of Afrika Mathematika. She is on the scientific committee of the NextEinstein forum, an initiative to connect science, society and policy in Africa. As the President of the African Institute for Mathematical Sciences, Wade was the first woman to hold this role. She has been awarded funding from the National Science Foundation to support the Senegal Workshop on Geometric Structures. She has been involved with American Association for the Advancement of Science activities to enhance African STEM research, including the provision of evidence-based metrics, case studies and policy recommendations. In 2017 Wade was named a fellow of the African Academy of Sciences.
Wade's accomplishments earned her recognition by Mathematically Gifted & Black, where she was featured as a Black History Month 2020 Honoree.
References
1967 births
Living people
Senegalese mathematicians
Fellows of the African Academy of Sciences
Women mathematicians
People from Dakar
Cheikh Anta Diop University alumni
University of Montpellier alumni
University of North Carolina at Chapel Hill faculty
Pennsylvania State University faculty
21st-century American mathematicians
Geometers |
https://en.wikipedia.org/wiki/Mariette%20Yvinec | Mariette Yvinec is a French researcher in computational geometry at the French Institute for Research in Computer Science and Automation (INRIA) in Sophia Antipolis. She is one of the developers of CGAL, a software library of computational geometry algorithms.
Yvinec is the co-author of two books in computational geometry:
Géometrie Algorithmique (with Jean-Daniel Boissonnat, Edusciences 1995), translated as Algorithmic Geometry (Hervé Brönnimann, trans., Cambridge University Press, 1998)
Geometric and Topological Inference (with Jean-Daniel Boissonnat and Frédéric Chazal, Cambridge Texts in Applied Mathematics, 2018)
References
Year of birth missing (living people)
Living people
French computer scientists
French mathematicians
French women computer scientists
Women mathematicians
Researchers in geometric algorithms |
https://en.wikipedia.org/wiki/Monique%20Teillaud | Monique Teillaud is a French researcher in computational geometry at the French Institute for Research in Computer Science and Automation (INRIA) in Nancy, France. She moved to Nancy in 2014 from a different INRIA center in Sophia Antipolis, where she was one of the developers of CGAL, a software library of computational geometry algorithms.
Teillaud graduated from the École Normale Supérieure de Jeunes Filles in 1985, she then got a position at École nationale supérieure d'informatique pour l'industrie et l'entreprise before moving to Inria in 1989. She completed her Ph.D. in 1991 at Paris-Sud University under the supervision of Jean-Daniel Boissonnat.
She was the 2008 program chair of the Symposium on Computational Geometry.
She is also the author or editor of two books in computational geometry:
Towards Dynamic Randomized Algorithms in Computational Geometry (Lecture Notes in Computer Science 758, Springer, 1993)
Effective Computational Geometry for Curves and Surfaces (edited with Boissonat, Springer, 2007)
References
External links
Living people
French computer scientists
French mathematicians
French women computer scientists
Women mathematicians
Researchers in geometric algorithms
1961 births |
https://en.wikipedia.org/wiki/Marjan%20Dema | Marjan Dema (born May 27, 1957, in Klina, FPR Yugoslavia) is a professor of mathematics. He was involved for many years in the Balkan Universities Network and from March 2016 until September 2020 he was Rector of the University of Pristina
Biography
Marjan Dema earned a master's degree in mathematics with the thesis "Some interpolation features of analytical functions within the Hilbert transform and Doctor of Mathematical Sciences in 1987 with the work Multiple interpolation in HP premises, at the University of Pristina.
He has taught as visiting professor at the Faculty of Economics of the University of Tetova (1997-1999) and at the American College "Midwestern Baptist College" in Pontiac, United States (2002-2005). He has scientific connections within the framework of the Balkan Universities Network to the Trakya University in Edirne and especially with Hilmi Ibar.
In the years 2009-2012 he was a member of the University Council of the University of Pristina. After his election as Rector of the University of Pristina, he took office in March 2016.
In 2019, Rector Dema was the patron of an international seminar hosted by Rotary International with students from Germany, Greece, Turkey and Kosovo on the subject of malaria control.
References
External links
Webpage of the University Pristina
Webpage of Rektor Marjan Dema
Marjan Dema on Researchgate
Marjan Dema in Berkleycenter
Marjan Dema Member of DAAAM
Marjan Dema on USAID
Literature
Marjan Dema opening speech in: Manfred G. Raupp und Wolfgang Uebel: The fight against Malaria and other related mosquito-born Diseases, Results and proposed next Steps of the Rotary Seminar at the University Prishtina (Kosovo) 2019: Publisher: madora gmbh Lörrach & Lörrach International e.V. Mai 2019,
Living people
1957 births
Albanian mathematicians
University of Pristina alumni
Academic staff of the University of Pristina
Rectors of the University of Prishtina |
https://en.wikipedia.org/wiki/Alessandra%20Celletti%20%28mathematician%29 | Alessandra Celletti (born 12 February 1962) is an Italian mathematician. She earned a master's degree in mathematics in 1984 at the University of Rome La Sapienza, and a PhD in 1989 at the Swiss Federal Institute of Technology in Zurich (ETH) under the supervision of Jürgen Moser and Jörg Waldvogel. Her research activity concerns dynamical systems, Kolmogorov–Arnold–Moser (KAM) theory, and celestial mechanics.
She is a founding member of the Italian Society of Celestial Mechanics and Astrodynamics, which she chaired from 2001 to 2013. Since 1993 she has coordinated the international CELMEC meetings. She is full professor of Mathematical Physics at the University of Rome Tor Vergata.
Since 2010 she has been an honorary "Celestial Mechanics Institute" member. Since 2016 she has been editor-in-chief of the journal Celestial Mechanics and Dynamical Astronomy. In 2012 she was an invited speaker at the 6th European Congress of Mathematics. In 2015 she was elected vice-President and in 2018 became President of the Scientific Committee in Celestial Mechanics of the International Astronomical Union. Since 2012 she has been a member of the Scientific Committee of the European Women in Mathematics (EMS/EWM). Since 2017 she has chaired the Women in Mathematics Committee of the European Mathematical Society.
Since April 2020 she is member of the Governing Board and Vice-President of “ANVUR - Italian National Agency for the Evaluation of Universities and Research Institutes”.
In 2007, her book Ordine e caos nel sistema solare in collaboration with Ettore Perozzi was a finalist for the Galileo Popular Science Prize.
The asteroid 2005 DJ1 has been named in her honour (117539 Celletti).
Notes
References
The Waltz of the Planets, Praxis-Springer Verlag, 2007, with Ettore Perozzi
Ordine e Caos nel Sistema Solare, Utet, 2007, with Ettore Perozzi
Pianeti per caso, Utet, 2012, with Ettore Perozzi
Stability and Chaos in Celestial Mechanics, Springer-Praxis, 2010
External links
Alessandra Celletti Department of Mathematics University of Rome Tor Vergata
Società Italiana di Meccanica Celeste e Astrodinamica
CELMEC meetings
Stability problems in Celestial Mechanics 1999, su harvard.edu
1962 births
Living people
20th-century Italian mathematicians
21st-century Italian mathematicians
University of Rome Tor Vergata alumni
ETH Zurich alumni
Academic staff of the University of Rome Tor Vergata
20th-century women mathematicians
21st-century women mathematicians
Academic journal editors |
https://en.wikipedia.org/wiki/Shehab%20Ellethy | Shehab Mamdouh Mamdouh Abdelfadel Ellethy (; born 18 April 2000) is a Qatari footballer who plays as a goalkeeper for Al-Duhail.
Career statistics
Club
Notes
References
External links
2000 births
Living people
Qatari men's footballers
Aspire Academy (Qatar) players
Al-Duhail SC players
Al Kharaitiyat SC players
Qatar Stars League players
Qatari Second Division players
Men's association football goalkeepers
Naturalised citizens of Qatar
Qatari people of Egyptian descent
Qatar men's under-20 international footballers
Qatar men's youth international footballers |
https://en.wikipedia.org/wiki/Marwan%20Badreldin | Marwan Sherif Badreldin (; born 17 April 1999) is a Qatari footballer who plays as a goalkeeper for Al Ahli SC.
Career statistics
Club
Notes
References
External links
1999 births
Living people
Qatari men's footballers
Qatar Stars League players
Qatari Second Division players
Al Ahli SC (Doha) players
Al-Rayyan SC players
Al Shahaniya SC players
Al-Shamal SC players
Men's association football goalkeepers
Footballers at the 2018 Asian Games
Asian Games competitors for Qatar
Qatar men's under-20 international footballers
Qatar men's youth international footballers |
https://en.wikipedia.org/wiki/Alexey%20Leontiev | Alexey Fyodorovich Leontiev (; 27 March 1917 – 14 April 1987) was a Soviet scientist in the field of mathematics, professor, Member of the Academy of Sciences of the Soviet Union, laureate of the USSR State Prize (in 1989, posthumously).
Biography
He was born in 1917 in the Nizhny Novgorod Governorate. Was the thirteenth child in a large peasant family.
In 1939, he graduated from the Gorky State University. After graduating from university, he continued his education in graduate school. In 1941, after the outbreak of World War II, he joined the militia and took part in the construction of fortifications around Gorky. In 1942-1954 he taught at the University of Gorky.
From 1954 to 1962, he worked at the Moscow Power Engineering Institute. From 1962 to 1971, he held the post of senior researcher at the Steklov Mathematical Institute of the Academy of Sciences of the USSR.
Since 1971, he worked at the mathematical faculty of the Bashkir State University. Under his leadership in Ufa, a mathematical scientific school on the theory of functions of a complex variable was formed.
Area of scientific interests: functions of a complex variable, sequences of polynomials in exponentials, questions of approximating solutions of convolution equations on the axis and in the complex domain by means of elementary solutions, the theory of equations of infinite order. He created a direction of mathematics on the study of the properties of sequences of polynomials in exponentials, a theory of representations of arbitrary analytic functions by exponential series was constructed.
He is the author of more than 120 scientific papers, including 3 monographs.
Literature
Differential-difference equations. // Mat. compilation, 24 (66): 3 (1949),
Representation of functions by series of generalized exponentials. // Mat. compilation, 134 (176): 4 (12) (1987).
Series of exponentials. // - Moscow, Science, 1976.
References
1917 births
1987 deaths
People from Nizhny Novgorod Governorate
Academic staff of Bashkir State University
Academic staff of Moscow Power Engineering Institute
Corresponding Members of the USSR Academy of Sciences
Recipients of the Order of the October Revolution
Recipients of the Order of the Red Banner of Labour
Recipients of the USSR State Prize
Soviet mathematicians
Burials at Kuntsevo Cemetery |
https://en.wikipedia.org/wiki/Jan%20Spielrein | Jan Nikolaevich Spielrein (; 14/26 June 1887 – 21 January 1938) was a Soviet scientist in the field of Mathematics, professor, Member of the USSR Academy of Sciences.
Biography
He was born in 1887 in the Rostov-on-Don.
Spielrein was educated in Rostov-on-Don. In 1907 he graduated from the Department of Physics and Mathematics of the University of Sorbonne, in 1911 the Higher Polytechnic School in Karlsruhe. Since 1911 Spielrein was an assistant professor at the University of Stuttgart.
In the second half of 1918 he returned from Germany to Russia, taught at the Krasnodar Polytechnic Institute. In 1920–1921 Spielrein worked in the Bureau of Foreign Science and Technology in Moscow. Since 1921, he holds the post of professor of the electrical engineering faculty of the Moscow Higher Technical School.
In 1930, Spielrein joined the newly formed Moscow Power Engineering Institute. Until the end of his life he was a professor, head of the department of higher mathematics, dean of the general and electrophysical faculties of the Moscow Power Engineering Institute.
His field of research was the application of vector calculus, tensor analysis and other mathematical methods in electrical engineering, heating engineering and radio engineering. He was also the author of the first handbook in the USSR on special functions in engineering calculations, one of the first to introduce a vector presentation in the course of theoretical mechanics.
Spielrein was arrested on September 10, 1937 and sentenced to the death penalty by the Supreme Soviet of the Soviet Union on January 21, 1938, on charges of participating in the Democratic Party. He was executed by a firing squad at the Kommunarka shooting ground on the same day. On February 4, 1956 Spielrein was rehabilitated.
Literature
Jean Spielrein. Lehrbuch der Vektorrechnung nach den Bedürfnissen in der technischen Mechanik und Elektrizitätslehre. Stuttgart: Konrad Wittwer, 1916.
Jean Spielrein. Vectorrechnung: Lehrbuch der vektorrechnung nach den bedürfnissen in der technischen mechanik und elektrizitätslehre. 2 verb. und verm. Aufl. Mit 62 textabbildungen und einer formelsammlung. Stuttgart: Verlag von Konrad Wittwer, 1926. — 434 s.
Векторное исчисление. Руководство для инженеров и физиков. М.—Л.: Госиздат, 1925. — 324 стр.
Современные математические методы в применении к вопросам электротехники и теплотехники. М.-Л.: Объединённое научно-техническое издательство, Главная редакция энергетической литературы, 1936.
References
Academic staff of Moscow Power Engineering Institute
Soviet mathematicians
Corresponding Members of the USSR Academy of Sciences
People executed by the Soviet Union by firing squad
1887 births
1938 deaths
Scientists from Rostov-on-Don
University of Paris alumni
Academic staff of the University of Stuttgart
Soviet rehabilitations
Great Purge victims |
https://en.wikipedia.org/wiki/Anett%20Kontaveit%20career%20statistics | This is a list of career statistics of Estonian professional tennis player Anett Kontaveit since her professional debut in 2010. So far, Kontaveit has won six WTA Tour level singles titles, winning four of them in 2021. She also has eleven singles and five doubles titles on the ITF Women's World Tennis Tour. At the 2020 Australian Open, she reached her first and so far only Grand Slam quarterfinals, but also became first Estonian to reach that stage there. As a junior, she reached one Grand Slam final at the 2012 US Open. In June 2022, she became world No. 2.
During the season of 2021, she set some records. In late October, after winning her fourth title of the year, she entered top 10 for the first time. In addition, she qualified for the WTA Finals, becoming the first Estonian to achieve that. Making her debut there, she cleared the group stage and later reached the final where she lost to Garbiñe Muguruza. At the year-end ranking of 2021, she became the first Estonian to finish a year inside the top 10. During the season of 2021, she had a record of 48 wins, tying with Ons Jabeur for the most wins on tour.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Doubles
Significant finals
WTA Finals
Singles: 1 (1 runner-up)
WTA 1000 finals
Singles: 2 (2 runner-ups)
WTA career finals
Singles: 17 (6 titles, 11 runner-ups)
ITF Circuit finals
Singles: 14 (11 titles, 3 runner–ups)
Doubles: 8 (5 titles, 3 runner–ups)
Junior Grand Slam finals
Girls' singles: 1 (runner–up)
WTA ranking
Current after the 2022 Cincinnati Open.
WTA Tour career earnings
Current after the 2022 Tallinn Open
Grand Slam statistics
Seedings
Best Grand Slam results details
Head-to-head records
Record against top 10 players
Kontaveit's record against players who have been ranked in the top 10. Active players are in boldface.
Record against No. 11–20 players
Kontaveit's record against players who have been ranked world No. 11–20. Active players are in boldface:
Jennifer Brady 2–0 ()
Ana Konjuh 2–0 ()
Eleni Daniilidou 1–0 ()
Donna Vekić 1–0 ()
Kaia Kanepi 1–0 ()
Beatriz Haddad Maia 1–0 ()
Wang Qiang 1–0 ()
Anastasia Pavlyuchenkova 4–2 ()
Anastasija Sevastova 2–1 ()
Kirsten Flipkens 1–1 ()
Mirjana Lučić-Baroni 1–1 ()
Elise Mertens 2–3 ()
Alizé Cornet 1–2 ()
Petra Martić 1–2 ()
Markéta Vondroušová 1–2 ()
Barbora Strýcová 1–2 ()
Shahar Pe'er 0–1 ()
Daria Saville 0–1 ()
Mihaela Buzărnescu 0–1 ()
Alison Riske 0–2 ()
Elena Vesnina 0–2 ()
Karolína Muchová 0–2 ()
No. 1 wins
Top 10 wins
Double bagel matches (6–0, 6–0)
Matches without dropping/winning a single game
Longest winning streaks
12-match win streak (2021)
22-match indoor court winning streak (2021–22)
Notes
References
External links
Anett Kontaveit at CoreTennis
Kontaveit, Anett |
https://en.wikipedia.org/wiki/Robert%20William | Robert William de Souza Ribeiro (born 9 May 1992), commonly known as Robert William, is a Brazilian footballer who currently plays as a forward for União Frederiquense.
Career statistics
Club
Notes
References
1992 births
Living people
Brazilian men's footballers
Men's association football forwards
Treviso FBC 1993 players
US Lecce players
AC ChievoVerona players
Resende FC players
Madureira Esporte Clube players
Rio Branco Atlético Clube players
Espírito Santo Futebol Clube players
Clube Esportivo Bento Gonçalves players
Ozone FC players
Punjab FC players
I-League 2nd Division players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Italy
Expatriate men's footballers in Italy
Brazilian expatriate sportspeople in Lebanon
Expatriate men's footballers in Lebanon
Brazilian expatriate sportspeople in India
Expatriate men's footballers in India
Al Shabiba Mazraa Beirut players |
https://en.wikipedia.org/wiki/Robert%20de%20Souza | Robert De Souza Ribeiro (born 9 May 1992), commonly known as Robert, is a Brazilian footballer.
Career statistics
Club
Notes
References
1992 births
Living people
Brazilian men's footballers
Men's association football forwards
Rio Branco Atlético Clube players
Al-Rawdhah Club players
Saudi Second Division players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Brazilian expatriate sportspeople in Saudi Arabia
Expatriate men's footballers in Saudi Arabia |
https://en.wikipedia.org/wiki/Rabi%20Bhattacharya | Rabindra Nath Bhattacharya (born January 11, 1937) is a mathematician/statistician at the University of Arizona. He works in the fields of probability theory and theoretical statistics where he has made fundamental contributions to long-standing problems in both areas. Most notable are (1) his solution to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis published in the Bulletin of the American Mathematical Society and further elaborated in a research monograph written jointly with R. Ranga Rao and (2) the solution of the validity of the formal Edgeworth expansion in collaboration with J.K. Ghosh in 1978. He has also contributed significantly to the theory and application of Markov processes, including numerous co-authored papers on problems in groundwater hydrology with Vijay K. Gupta, and in economics with Mukul Majumdar. Most recently his research has focused on nonparametric statistical inference on manifolds and its applications.
He is a co-author of three graduate texts and four research monographs. A comprehensive selection of Bhattacharya's work is available in a special 2016 Contemporary Mathematicians volume published by Birkhäuser. He is married to Bithika Gouri Bhattacharya, with a daughter, a son, and four grandchildren.
Early life and education
Bhattacharya was born January 11, 1937, in his ancestral home Porgola, Barisal District, in the present country of Bangladesh. He received his B.S. and M.S. degree in 1956 and 1959 respectively from Presidency College and Calcutta University. He completed his Ph.D. under direction of Patrick Billingsley at the University of Chicago in 1967.
Academic career
His first academic position was as assistant professor in the Department of Statistics at the University of California, Berkeley. In 1972, he accepted a position as associate professor in the Department of Mathematics at the University of Arizona in Tucson, and was promoted to full professor in 1977. In 1982, he moved to Indiana University, where he remained until his retirement in 2002. Upon retirement from Indiana University, he was re-appointed as a tenured full professor at the University of Arizona, retiring in May, 2018.
Awards and honors
Bhattacharya has received many awards and honors, including Special Invited Papers in the Annals of Probability (1977) and the Annals of Applied Probability (1999). He is a Fellow of the Institute of Mathematical Statistics (1978). In 1988, he and M. Denker were invited by the German Mathematical Society to give DMV Seminar, Band 14, published by Birkhäuser as ″Asymptotic Statistics″. He received the prestigious Humboldt Prize (1993) and the Guggenheim Fellowship (2000). He also gave an invited talk, now referred to as a Medallion Lecture at the IMS Annual Meeting in Chicago (1996).
References
External links
Bhattacharya's web page at University of Arizona
1937 births
Living people
Fellows of the Institute of Mathematical Statistics
Unive |
https://en.wikipedia.org/wiki/Aimee%20Johnson | Aimee Sue Anastasia Johnson is an American mathematician who works in dynamical systems. She is a professor of mathematics at Swarthmore College, the winner of the George Pólya Award, and the co-author of the book Discovering Discrete Dynamical Systems.
Johnson graduated from the University of California, Berkeley in 1984.
She completed her Ph.D. in 1990 at the University of Maryland, College Park; her dissertation, Measures on the Circle Invariant for a Nonlacunary Subsemigroup of the Integers, was supervised by Daniel Rudolph.
In dynamical systems, Johnson is known for her work on a conjecture of Hillel Furstenberg on the classification of invariant measures for the action of two independent modular multiplication operations on an interval.
In 1998, Johnson and Kathleen Madden won the George Pólya Award for their joint paper on aperiodic tiling, "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings". In 2017, Madden, Johnson, and their co-author Ayşe Şahin published the textbook Discovering Discrete Dynamical Systems through the Mathematical Association of America.
With Joseph Auslander and Cesar E. Silva she is also the co-editor of Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby (Contemporary Mathematics 678, American Mathematical Society, 2016).
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Dynamical systems theorists
University of California, Berkeley alumni
University of Maryland, College Park alumni
Swarthmore College faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Kathleen%20Madden | Kathleen Marie Madden is an American mathematician who works in dynamical systems. She was the dean of the School of Natural Sciences, Mathematics, and Engineering at California State University, Bakersfield. She won the George Pólya Award and is the co-author of the book Discovering Discrete Dynamical Systems.
Education and career
Madden did her undergraduate studies at the University of Colorado. She then spent two years with the Peace Corps teaching mathematics in Cameroon before returning to the US for graduate study.
She completed her Ph.D. in 1994 at the University of Maryland, College Park; her dissertation, On the Existence and Consequences of Exotic Cocycles, was supervised by Nelson G. Markley.
Before joining California State University, Bakersfield as associate dean in 2015,
she was a faculty member in the mathematics department at Lafayette College
and then at Drew University, where she also served as chair of the department and associate dean. At California State University, Bakersfield, she was appointed interim dean in 2016 and permanent dean in 2017. She served in this position until 2021, at which time she retired to a part-time position in the faculty.
Books and recognition
In 1998, Madden and Aimee Johnson won the George Pólya Award for their joint paper on aperiodic tiling, "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings". In 2017, Madden, Johnson, and their co-author Ayşe Şahin published the textbook Discovering Discrete Dynamical Systems through the Mathematical Association of America.
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Dynamical systems theorists
University of Colorado alumni
University of Maryland, College Park alumni
Lafayette College faculty
Drew University faculty
California State University, Bakersfield faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Ay%C5%9Fe%20%C5%9Eahin | Ayşe Arzu Şahin is a Turkish-American mathematician who works in dynamical systems. She was appointed the Dean of the College of Science and Mathematics at Wright State University in June 2020, and is a co-author of two textbooks on calculus and dynamical systems.
Education and career
Şahin graduated from Mount Holyoke College in 1988. She completed her Ph.D. in 1994 at the University of Maryland, College Park. Her dissertation, Tiling Representations of Actions and -Equivalence in Two Dimensions, was supervised by Daniel Rudolph.
She joined the mathematics faculty at North Dakota State University, where she worked from 1994 until 2001, when she moved to DePaul University. At DePaul, she became a full professor in 2010, and co-directed a master's program in Middle School Mathematics. She moved again to Wright State as Chair of the Department of Mathematics and Statistics at Wright State in 2015.
Books
In 2017, with Kathleen Madden and Aimee Johnson, Şahin published the textbook Discovering Discrete Dynamical Systems through the Mathematical Association of America. She is also a co-author of Calculus: Single and Multivariable (7th ed., Wiley, 2016), a text whose many other co-authors include Deborah Hughes Hallett, William G. McCallum, and Andrew M. Gleason.
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Turkish mathematicians
American people of Turkish descent
Dynamical systems theorists
Mount Holyoke College alumni
University of Maryland, College Park alumni
North Dakota State University faculty
DePaul University faculty
Wright State University faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/1972%E2%80%9373%20FK%20Partizan%20season | The 1972–73 season was the 27th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1972–73 season.
Friendlies
Competitions
Yugoslav First League
Matches
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1972-73 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Richard%20Fork | Richard L. Fork (1 September 1935 – 16 May 2018) was an American physicist.
Dr. Fork received a bachelor's degree in mathematics and physics from Principia College in 1957, and earned his doctorate in physics from the Massachusetts Institute of Technology. He began working for Bell Laboratories in 1962, and joined the faculty of Rensselaer Institute of Technology in 1990. Four years later, Dr. Fork left Rensselaer for the University of Alabama in Huntsville. Over the course of his career, Fork was granted fellowship of the American Physical Society and Optical Society of America. He retired in 2017 and died on May 16, 2018, of respiratory arrest in Huntsville. Dr. Fork also acted as a mentor who guided and assisted dozens of students pursuing optical/physics/laser based degrees at UAH.
Achievements
Richard Fork has been very active in the field of generating light pulses with lasers.
As early as 1964, he showed that locking the modes of a helium neon laser could produce picosecond pulses.
In the early 80's he strongly contributed to the development of femtosecond lasers.
In 1984 he, along with O.E. Martinez and J.P. Gordon, published a paper entitled "Negative group-velocity dispersion using refraction" in the Journal of the Optical Society of America A, which laid the groundwork for the "Martinez stretcher" which is the primary stretcher configuration used in the design of free-space, solid-state, chirped pulse amplifiers. The key mechanism in this achievement was the recognition of the potential for generating positive group delay dispersion (GDD) using two dispersive elements, which nominally produce negative GDD, by introducing a "telescope" between the two elements thus utilizing the Guoy Phase Shift to flip the sign of the dispersion. This finding was crucial because in order to stretch, amplify, and then compress a pulse it is required that the GDD introduced in the stretcher is exactly matched, in the negative sense, in the compressor. Since the standard compressor configurations all produce negative GDD, a positive GDD stretcher was required. Technically speaking, the stretcher and compressor can be swapped without loss of generality, but since the "Martinez Stretcher" is more difficult to align due to the inclusion of the "telescope", it is generally preferred to use it for the low-energy seed pulse, and the traditional compressor for the high-energy amplified output pulse. "Another important result [found in] is that may have negative values, thus also allowing positive values for the group-velocity dispersion"
In a second part of his career he focused his interest on the use of lasers for protecting Earth from asteroid impacts.
References
1935 births
2018 deaths
Rensselaer Polytechnic Institute faculty
Fellows of the American Physical Society
University of Alabama in Huntsville faculty
Scientists at Bell Labs
Massachusetts Institute of Technology School of Science alumni
Principia College alumni
Fellows of Optica (society) |
https://en.wikipedia.org/wiki/Tennis%20ball%20theorem | In geometry, the tennis ball theorem states that any smooth curve on the surface of a sphere that divides the sphere into two equal-area subsets without touching or crossing itself must have at least four inflection points, points at which the curve does not consistently bend to only one side of its tangent line.
The tennis ball theorem was first published under this name by Vladimir Arnold in 1994, and is often attributed to Arnold, but a closely related result appears earlier in a 1968 paper by Beniamino Segre, and the tennis ball theorem itself is a special case of a theorem in a 1977 paper by Joel L. Weiner. The name of the theorem comes from the standard shape of a tennis ball, whose seam forms a curve that meets the conditions of the theorem; the same kind of curve is also used for the seams on baseballs.
The tennis ball theorem can be generalized to any curve that is not contained in a closed hemisphere. A centrally symmetric curve on the sphere must have at least six inflection points. The theorem is analogous to the four-vertex theorem according to which any smooth closed plane curve has at least four points of extreme curvature.
Statement
Precisely, an inflection point of a doubly continuously differentiable () curve on the surface of a sphere is a point with the following property: let be the connected component containing of the intersection of the curve with its tangent great circle at . (For most curves will just be itself, but it could also be an arc of the great circle.) Then, for to be an inflection point, every neighborhood of must contain points of the curve that belong to both of the hemispheres separated by this great circle.
The theorem states that every curve that partitions the sphere into two equal-area components has at least four inflection points in this sense.
Examples
The tennis ball and baseball seams can be modeled mathematically by a curve made of four semicircular arcs, with exactly four inflection points where pairs of these arcs meet.
A great circle also bisects the sphere's surface, and has infinitely many inflection points, one at each point of the curve. However, the condition that the curve divide the sphere's surface area equally is a necessary part of the theorem. Other curves that do not divide the area equally, such as circles that are not great circles, may have no inflection points at all.
Proof by curve shortening
One proof of the tennis ball theorem uses the curve-shortening flow, a process for continuously moving the points of the curve towards their local centers of curvature. Applying this flow to the given curve can be shown to preserve the smoothness and area-bisecting property of the curve. Additionally, as the curve flows, its number of inflection points never increases. This flow eventually causes the curve to transform into a great circle, and
the convergence to this circle can be approximated by a Fourier series. Because curve-shortening does not change any other great circle, |
https://en.wikipedia.org/wiki/Asker%20Abiyev | Asker Ali Abiyev (born June 28, 1934), the inventor of Abiyev's Magic squares and Cubes, was born in Baku, Azerbaijan.
Academic life
Abiyev studied in Physics-Mathematics faculty in Baku State University from 1954 to 1957, and then, in the faculty of Physics in Moscow State University from 1957 to 1961. After some years of working, he continued his education from 1963 until 1966 as a post-graduate in Kurchatov Institute.
Scientific career
In 1961–1963, Aliyev worked in the Institute of Physics of Azerbaijan National Academy of Sciences. After his post-graduation from Kurchatov Institute, he returned to the National Academy in 1966.
After 1969, he worked as a researcher in the Radiation Problems Sector of National Academy, and then, from 1976 until 1993, he worked as the head of the Laboratory of "Radiation Physics of Semiconductors".
He went to Ankara, Turkey, as a professor of Yavuz Sultan Private Science Lyceum in 1993 (until 2000). From 2000 to 2007, he was a professor in the Department of Mathematics at Gaziantep University in Gaziantep, Turkey.
Achievements
In 1970 and 1988, Abiyev defended dissertations in the field of "Physics of Semiconductors" he obtained his Candidate of Physical-Mathematical Sciences title and in the field of Dielectrics, he got Doctor of Physical-Mathematical Sciences title. Later, in 1990, he obtained the title of Professor of Physical-Mathematical Sciences.
See also
Magic square
Magic cube
References
External links
20th-century Azerbaijani mathematicians
Moscow State University alumni
Living people
1934 births
Azerbaijani physicists
21st-century Azerbaijani mathematicians
Scientists from Baku |
https://en.wikipedia.org/wiki/Alina%20Carmen%20Cojocaru | Alina Carmen Cojocaru is a Romanian mathematician who works in number theory and is known for her research on elliptic curves, arithmetic geometry, and sieve theory. She is a professor of mathematics at the University of Illinois at Chicago and a researcher in the Institute of Mathematics of the Romanian Academy.
Cojocaru earned her Ph.D. from Queen's University in Kingston, Ontario, in 2002. Her dissertation, Cyclicity of Elliptic Curves Modulo p, was jointly supervised by M. Ram Murty and Ernst Kani.
Cojocaru was elected to be an American Mathematical Society (AMS) Council member at large from February 1st, 2023, to January 31st, 2024.
Books
Cojocaru is an author of the book
An Introduction to Sieve Methods and their Applications (with M. Ram Murty, London Mathematical Society Student Texts 66, Cambridge University Press, 2006).
She is also an editor of
Women in Numbers: Research Directions in Number Theory (with Kristin Lauter, Rachel Justine Pries, and Renate Scheidler, Fields Institute Communications 60, American Mathematical Society, 2011).
Scholar: A Scientific Celebration Highlighting Open Lines of Arithmetic Research: Conference in Honour of M. Ram Murty's Mathematical Legacy on His 60th Birthday (with C. David and F. Pappalardi, Contemporary Mathematics 655, American Mathematical Society, 2016)
Selected publications
Cojocaru, Alina Carmen; Murty, M. Ram (2004), "Cyclicity of elliptic curves modulo and elliptic curve analogues of Linnik's problem". Math. Ann. 330, no. 3, 601–625. MR 2099195.
Cojocaru, Alina Carmen (2005), "On the surjectivity of the Galois representations associated to non-CM elliptic curves. With an appendix by Ernst Kani". Canad. Math. Bull. 48, no. 1, 16–31. MR 2118760.
Cojocaru, Alina Carmen; Hall, Chris (2005). "Uniform results for Serre's theorem for elliptic curves". Int. Math. Res. Not., no. 50, 3065–3080. MR 2189500.
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century Romanian mathematicians
American women mathematicians
21st-century American mathematicians
University of Illinois Chicago faculty
Number theorists
Queen's University at Kingston alumni
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Aula%20Al%20Ayoubi | Aula Al Ayoubi, born in 1973 in Damascus, is a Syrian painter and visual artist.
Biography
Aula Al Ayoubi studied mathematics and educational sciences at the University of Damascus. She graduated from the Institute of Fine Arts of Damascus. She is a member of the Association of Fine Arts of Syria.
Works
The collages of Aula Al Ayoubi mix different media. Her creations represent portraits of the most iconic women from her childhood, from Egyptian actress Faten Hamama to Lebanese singer Fairuz to the icon of Egyptian music Umm Kulthum. Punctuated with rich and colorful details, her dynamic compositions convey her own emotional feelings in front of these famous people.
The artist uses a bright and bold palette of colors and her collage technique gives her paintings a rich diversity of textures. Aula Al Ayoubi's works are exhibited in Syria and Kuwait. Her painting is also presented in private collections.
In 2015, she participated in the first international meeting of Mediterranean art, organized by Col·lectiu Mediterrani. Fourteen Spanish, Italian, Syrian, Moroccan and Turkish artists take part in a contemporary style exhibition mixing painting, sculpture, poetry or photography.
In 2017, Aula Al Ayoubi participated in the exhibition Radical Love: Female Lust bringing together nearly 50 women Arab artists around Arabic poetry written by women mainly between the 7th century and 12th century. As a response to President Donald Trump's ban on travel to the United States, artists anchor their works and illustrations in women's sexual pleasure.
Exhibitions
Solo Exhibition at Free Hand Gallery, Damascus, Syria, 2008
Solo Exhibition at Museum of Modern Art, Kuwait City, Kuwait, 2009
Solo Exhibition, Tilal Gallery, Shuwaikh, Kuwait, 2011
Solo Exhibition, Roaya Gallery, Jeddah, Saudi Arabia, 2012
Solo Exhibition, Markhiya Gallery, Doha, Qatar, 2012
Aula Al Ayouby, Tilal Gallery, Shuwaikh, Kuwait, 17–28 November 2013
Trobada Internacional of Art Mediterrani, Col·lectiu Mediterrani, Es Polvorí Foundation, Dalt Vila, Baleares, 28 January – 25 February 2016
Radical Love: Female Lust, The Crypt Gallery, London, 14 February – 5 March 2017
Seventeenth ArtsWorcester Biennial, Worcester MA, 2017
Solo Exhibition, ArtsWorcester Gallery, Worcester, MA, 2017
'Spring Revolution' Beacon Gallery, Boston Massachusetts 7 June - 28 July 2019
References
1973 births
Syrian women painters
Syrian contemporary artists
20th-century Syrian painters
21st-century Syrian painters
Artists from Damascus
Living people
20th-century women artists
21st-century women artists
Al-Ayoubi family |
https://en.wikipedia.org/wiki/Panduvamshis%20of%20Mekala | {
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The Panduvamshis (IAST: Pāṇḍuvaṁśī) or Pandavas (IAST: Pāṇḍava) were an Indian dynasty that ruled the historical Mekala region in present-day Chhattisgarh state of India, during the 6th and the 7th centuries. The Panduvamshi kings, who were Shaivites, claimed descent from the legendary Pandavas and also claimed to be members of the lunar dynasty. They may have been Gupta feudatories, and may have been related to the Panduvamshis of Dakshina Kosala, but this cannot be said with certainty.
Period
The dynasty's inscriptions are dated in the regnal years of the kings, instead of a calendar era. Therefore, various historians have determined the dynasty's period of reign based on other evidence.
A stanza in the Bamhani inscription of the Panduvamshis contains the word "narendra", which has been interpreted as a veiled reference to the Vakataka king Narendrasena by some scholars. Based on this inscription, epigraphist Bahadur Chand Chhabra theorized that Narendrasena was the overlord of the Panduvamshi king Bharatabala. This theory is corroborated by the fact that the inscriptions of Narendrasena's son Prithvisena II state that his father's commands were obeyed by the lords of Kosala, Mekala and Malava. According to Chhabhra, the inscription does not allude to Narendrasena's overlordship in "equivocal terms", because Bharatabala's acknowledgement of Narendrasena's suzerainty was nominal, and Mekala was practically an autonomous state. Based on Narendrasena's date, Chhabra dated the ascension of the first Panduvamshi king Jayabala to c. 400 CE. According to this theory, the Panduvamshis ruled during the 5th century. Historian Ajay Mitra Shastri disputes Chhabra's theory, stating that the word "narendra" (literally "king") in the dynasty's inscriptions refers to the Panduvamshi king Shurabala alias Udirnavaira, not the Vakataka king Narendrasena. Shastri points out that the Bamhani inscription was issued by Udirnavaira, not Bharatabala; the inscription mentions that feudal chiefs fell at the feet of Udirnavaira, which suggests that Udirnavaira considered himself a paramount ruler.
According to the Bamhani inscription, Bharatabala's queen Lokaprakasha came from the Amaraja kula (family) of Kosala. Earlier scholars variously identified this family as Panduvamshis of Kosala, Sharabhapuriyas and Shuras, all of which ruled the Dakshina Kosala |
https://en.wikipedia.org/wiki/Jes%C3%BAs%20Arismendi | Wadid Jesús Arismendi (born March 25, 1987, in Arequipa, Peru) is a Peruvian footballer who currently plays for Carlos A. Mannucci.
Career statistics
References
External links
1987 births
Living people
Peruvian men's footballers
FBC Melgar footballers
Club Deportivo Universidad César Vallejo footballers
Sport Boys footballers
Universidad Técnica de Cajamarca footballers
Cusco FC footballers
Carlos A. Mannucci players
Peruvian Primera División players
Men's association football defenders
Sportspeople from Arequipa |
https://en.wikipedia.org/wiki/Ping%20Zhang%20%28graph%20theorist%29 | Ping Zhang is a mathematician specializing in graph theory. She is a professor of mathematics at Western Michigan University and the author of multiple textbooks on graph theory and mathematical proof.
Zhang earned a master's degree in 1989 from the University of Jordan, working there on ring theory with Hasan Al-Ezeh.
She completed her Ph.D. in 1995 at Michigan State University. Her dissertation, in algebraic combinatorics, was Subposets of Boolean Algebras, and was supervised by Bruce Sagan.
After a short-term position at the University of Texas at El Paso, she joined the Western Michigan faculty in 1996.
Books
Zhang is the author of:
Mathematical Proofs: A Transition to Advanced Mathematics (with Gary Chartrand and A. D. Polimeni, Addison-Wesley, 2002; 2nd ed., 2007; 3rd ed., 2012)
Introduction to Graph Theory (with Gary Chartrand, McGraw-Hill, 2004; Chinese ed., 2006); revised as A First Course in Graph Theory (Dover, 2012)
Chromatic Graph Theory (with Gary Chartrand, CRC Press, 2008)
Graphs & Digraphs (by Gary Chartrand and Linda Lesniak, with Zhang added as a co-author on the 5th ed., CRC Press, 2010)
Discrete Mathematics (with Gary Chartrand, Waveland Press, 2011)
Covering Walks in Graphs (with Futaba Fujie, Springer, 2014)
Color-Induced Graph Colorings (Springer, 2015)
The Fascinating World of Graph Theory (with Arthur T. Benjamin and Gary Chartrand, Princeton University Press, 2015)
A Kaleidoscopic View of Graph Colorings (Springer, 2016)
How to Label a Graph (with Gary Chartrand and Cooroo Egan, Springer, 2019)
She is also the co-editor of:
Handbook of Graph Theory (originally edited by Jonathan L. Gross and Jay Yellen, with Zhang added as a co-editor on the 2nd ed., CRC Press, 2013)
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Graph theorists
University of Jordan alumni
Michigan State University alumni
University of Texas at El Paso faculty
Western Michigan University faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Pitambar%20Pant | Pitambar Pant was an Indian independence activist, civil service officer and writer, best known for his contributions for the establishment of the Central Statistics Office and for changing Indian system of measurement to metric system. He served as the secretary to Jawaharlal Nehru, the then prime minister of India and headed the perspective planning division of the Planning Commission of India. He was also the author of a number of books on socialist economics. The Government of India awarded him the Padma Bhushan, the third highest civilian award, in 1973.
Biography
Pitamber Pant completed a master's degree in physics during which time he was involved in the Quit India movement and was imprisoned by the British. This gave him an opportunity to get acquainted with Jawaharlal Nehru, J. B. Kripalani and several other independence activists and he worked as a secretary to Nehru, while in jail. After the Indian independence, Nehru, who had been impressed by Pant's preoccupation with economic planning, asked him to meet Prasanta Chandra Mahalanobis, an applied statistician of repute, and the two became friends and long-time associates. Pant accompanied Mahalanobis in the latter's overseas trips. Later, he joined Indian civil service and was entrusted with the task of studying the system of measurement. After a detailed study, he submitted a report, proposing the metric system which was reported to have influenced the government's decision to adopt metric system. Later, he was entrusted with a study on statistical system and the report Pant prepared, along with N. T. Mathew under the title, Report on the Present Statistical Organization in Provinces and States in 1949 served as the blueprint for the establishment of the Central Statistical Unit, which, over time, evolved into the present-day Central Statistics Office.
In 1956, the Planning Commission of India as a staff member, taking up the position to the secretary of the Chairman, (Nehru, as the prime minister, was the chairman) and headed the manpower planning division of the commission. In this position, he prepared several reports concerning Indian labor force, utilization of professional manpower, and forecasting of manpower requirement and also headed the Indian Statistical Institute. In 1958, he moved to the newly created perspective planning division as its head and held the position till he retired from official service in 1970. During this period, he served as a member of the Fourth Five Year Plan. After retirement, he was selected as the chairman of the National Committee on Environmental Planning and Coordination (NCEPC) but his tenure was short-lived due to his death on February 26, 1973, succumbing to prolonged illness.
Pant was the author of a number of books, including Memorandum on the introduction of metric system in India, Manpower and educational development in India, 1961-1968 and Urbanization and the long-range strategy of economic development. The Government of India award |
https://en.wikipedia.org/wiki/Rhonda%20Hatcher | Rhonda Lee Hatcher is an American mathematician whose research topics include analytic number theory and L-functions as well as topics in recreational mathematics. She is an associate professor of mathematics at Texas Christian University.
Education and career
Hatcher graduated summa cum laude from the University of Colorado Boulder in 1980.
She earned her Ph.D. in 1988 from Harvard University. Her dissertation, Heights and L-Series, was supervised by Benedict Gross.
After completing her doctorate, she taught at St. Olaf College in Minnesota for three years before moving to Texas Christian.
At Texas Christian, Hatcher was named as the Faculty Athletics Representative in 1999. She has also represented the Big 12 Conference in the National Collegiate Athletic Association Committee on Academics. Within the committee, she has taken a minority position against a proposed rule change to allow students with high grade point averages to transfer to other schools and maintain their athletic eligibility, arguing that the rule would disproportionately penalize African-American students.
Book
With George T. Gilbert, she is the author of Mathematics Beyond the Numbers (Wiley, 2000; 2nd ed., Kendall Hunt, 2012). This is a mathematics textbook designed for use in liberal arts education. It covers topics mathematics through their applications, including voting systems, apportionment, genetics, opinion polls, scheduling, and cryptography. Its mathematical topics include probability and statistics, graph theory and combinatorial geometry, and number theory.
Recognition
In 1998, Hatcher won the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics. The award announcement cited her excellent mathematics teaching at Texas Christian, her work helping high school teachers prepare to teach AP Calculus, and her summer programs which attracted undergraduates from other parts of the country to work with her on number theory, group theory, and graph theory. Some of the research from this program ended up being published in professional journals.
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Number theorists
University of Colorado Boulder alumni
Harvard University alumni
St. Olaf College faculty
Texas Christian University faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/List%20of%20Eliteserien%20players | This is a list of Eliteserien players who have made 300 or more appearances in the Eliteserien. Statistics are updated as of 21 August 2022. Current Eliteserien players are shown in bold.
References
Eliteserien players
players
Association football player non-biographical articles |
https://en.wikipedia.org/wiki/Jonathan%20Haskel | Jonathan Haskel (born 13 August 1963) is a British economist, and professor of economics at Imperial College Business School.
Haskel currently serves as board member of the UK Statistics Authority, a member of the Bank of England's Monetary Policy Committee and a member of the Financial Conduct Authority Competition Decisions Committee and the Payment System Regulator Enforcement and Competition Decisions Committee.
Early life
Haskel is the son of Simon Haskel and the grandson of Isaac Haskel. He was educated at King's College School. He studied Economics at the University of Bristol (BSc) and at the London School of Economics (MSc and PhD), with his PhD under the supervision of Christopher Pissarides.
Academic career
Prior to joining Imperial College London, Haskel was a professor and head of the economics department at Queen Mary University of London.
Haskel has taught at the University of Bristol and London Business School and been a visiting professor at the Tuck School of Business, Dartmouth College, US; Stern School of Business, New York University, US; and visiting researcher at the Australian National University.
Haskel is a professor of economics at Imperial College Business School, specialising in innovation and productivity.
Other roles
In February 2016 he was appointed as a non-executive director of the UK Statistics Authority.
In September 2015, Haskel has been appointed as a member of the Financial Conduct Authority Competition Decisions Committee and the Payment System Regulator Enforcement and Competition Decisions Committee.
In May 2018, it was announced that Haskel would become a member of the Bank of England's Monetary Policy Committee (MPC), replacing Ian McCafferty from 1 September. There were four women on the five-person shortlist. He was appointed Commander of the Order of the British Empire in the 2018 Birthday Honours.
Publications
Capitalism Without Capital: The Rise of the Intangible Economy (co-author, Stian Westlake)
Personal life
He is married to the artist Sue Haskel, and they have two daughters.
References
External links
https://www.imperial.ac.uk/people/j.haskel personal page at Imperial College Business School
https://ideas.repec.org/e/pha161.html RePEc research papers
Living people
Monetary Policy Committee members
British economists
Academics of Imperial College London
Academics of Queen Mary University of London
1963 births
People educated at King's College School, London
Alumni of the University of Bristol
Alumni of the London School of Economics |
https://en.wikipedia.org/wiki/David%20Gottlieb%20%28mathematician%29 | David Gottlieb (November 14, 1944 – December 6, 2008) was an Israeli mathematician.
Biography
David Gottlieb was born in Tel Aviv. He received his PhD in 1972 from the Department of Mathematics at Tel Aviv University under the guidance of Saul Abarbanel. He was a professor of applied mathematics at Brown from 1985 until his death.
His research focused on numerical analysis, especially as applied to nonlinear partial differential equations.
He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences.
References
External links
Saul Abarbanel, Sigal Gottlieb, Jan S. Hesthaven, and Chi-Wang Shu, "David I. Gottlieb", Biographical Memoirs of the National Academy of Sciences (2014)
1944 births
2008 deaths
20th-century Israeli mathematicians
Members of the United States National Academy of Sciences
Academic staff of Tel Aviv University
Tel Aviv University alumni
Brown University faculty |
https://en.wikipedia.org/wiki/Pierre%20Roullier | Pierre Roullier (born 16 February 1954 in Rabat), is a French flautist and conductor.
Biography
Roullier first studied mathematics and philosophy. He obtained the first prize for flute unanimously at the Conservatoire de Paris, in Jean-Pierre Rampal's class. He was also first prize in chamber music, and took advanced courses in this discipline.
He was laureate of the International competition of Munich, Gaudeamus competition (Amsterdam) for contemporary classical music, and that of Martigny.
He was soloist flautist of the Orchestre de chambre de Paris from 1979 to 1988.
Since 1988, he has been leading a conductor's activity where he covers a very broad repertoire ranging from operetta to contemporary creation in places as diverse as the Opéra-Comique, the Wiener Festwochen (Austria), Radio France, the Festival d’Avignon, the Kunsthalle Bremen.
Invited by the Opéra de Nice, the Sofia Philharmonic Orchestra and the Osaka Philharmonic Orchestra, he performed in the most important venues. He conducted the Orchestre national des Pays de la Loire, the Orchestre national d'Île-de-France and premiered Jean-Pierre Drouet's opera Vertiges at the Grand Théâtre de Bordeaux. He has performed at the Angers-Nantes Opéra and the . He premiered and recorded Paul Méfano's opera Micromégas at the Festival de Radio France and Montpellier, Régis Campo's opera Hatim le Généreux at the Opéra de Besançon and Bruno Mantovani's Cantata n° 1 based on poems by Rainer Maria Rilke at the Musica Festival of Strasbourg.
His recordings cover a vast repertoire ranging from Johann Sebastian Bach to Tôru Takemitsu, from Beethoven to Dusapin and Strasnoy. They have received critical acclaim and prestigious awards: Académie du disque français, Académie Charles-Cros, .
External links
Pierre Roullier on France Musique
Pierre Roullier (la Terrasse)
Pierre Roulier
Biography
Pierre Roullier (Ensemble 2e2m)
Pierre Roullier (Festival des Arcs)
Pierre Roulllier (Human Music)
1954 births
Living people
Musicians from Rabat
French classical flautists
French male conductors (music)
Conservatoire de Paris alumni
20th-century French conductors (music)
21st-century French conductors (music)
20th-century French male musicians
21st-century French male musicians
20th-century flautists
21st-century flautists |
https://en.wikipedia.org/wiki/Viljar%20Myhra | Viljar Myhra (born 21 July 1996) is a Norwegian footballer who plays for Strømsgodset as a goalkeeper.
Career statistics
Club
References
1996 births
Living people
Norwegian men's footballers
Odds BK players
Strømsgodset Toppfotball players
Eliteserien players
Sportspeople from Porsgrunn
Norwegian Second Division players
Men's association football goalkeepers
Footballers from Skien |
https://en.wikipedia.org/wiki/Contracted%20Bianchi%20identities | In general relativity and tensor calculus, the contracted Bianchi identities are:
where is the Ricci tensor, the scalar curvature, and indicates covariant differentiation.
These identities are named after Luigi Bianchi, although they had been already derived by Aurel Voss in 1880. In the Einstein field equations, the contracted Bianchi identity ensures consistency with the vanishing divergence of the matter stress–energy tensor.
Proof
Start with the Bianchi identity
Contract both sides of the above equation with a pair of metric tensors:
The first term on the left contracts to yield a Ricci scalar, while the third term contracts to yield a mixed Ricci tensor,
The last two terms are the same (changing dummy index n to m) and can be combined into a single term which shall be moved to the right,
which is the same as
Swapping the index labels l and m on the left side yields
See also
Bianchi identities
Einstein tensor
Einstein field equations
General theory of relativity
Ricci calculus
Tensor calculus
Riemann curvature tensor
Notes
References
Concepts in physics
Tensors
General relativity |
https://en.wikipedia.org/wiki/Simon%20problems | In mathematics, the Simon problems (or Simon's problems) are a series of fifteen questions posed in the year 2000 by Barry Simon, an American mathematical physicist. Inspired by other collections of mathematical problems and open conjectures, such as the famous list by David Hilbert, the Simon problems concern quantum operators. Eight of the problems pertain to anomalous spectral behavior of Schrödinger operators, and five concern operators that incorporate the Coulomb potential.
In 2014, Artur Avila won a Fields Medal for work including the solution of three Simon problems. Among these was the problem of proving that the set of energy levels of one particular abstract quantum system was in fact the Cantor set, a challenge known as the "Ten Martini Problem" after the reward that Mark Kac offered for solving it.
The 2000 list was a refinement of a similar set of problems that Simon had posed in 1984.
Context
Background definitions for the "Coulomb energies" problems ( nonrelativistic particles (electrons) in with spin and an infinitely heavy nucleus with charge and Coulombian mutual interaction):
is the space of functions on which are antisymmetric under exchange of the spin and space coordinates. Equivalently, the subspace of which is antisymmetric under exchange of the factors.
The Hamiltonian is . Here is the coordinate of the -th particle, is the Laplacian with respect to the coordinate . Even if the Hamiltonian does not explictly depend on the state of the spin sector, the presence of spin has an effect due to the antisymmetry condition on the total wavefunction.
We define , that is, the ground state energy of the system.
We define to be the smallest value of such that for all positive integers ; it is known that such a number always exists and is always between and , inclusive.
The 1984 list
Simon listed the following problems in 1984:
In 2000, Simon claimed that five of the problems he listed had been solved.
The 2000 list
The Simon problems as listed in 2000 (with original categorizations) are:
See also
Almost Mathieu operator
Lieb–Thirring inequality
External links
References
unsolved problems in mathematics
Unsolved problems in physics
Mathematical physics |
https://en.wikipedia.org/wiki/Morocco%20national%20football%20team%20records%20and%20statistics | This article lists various football records in relation to the Morocco national football team. The page is updated where necessary after each Morocco match, and is correct as of 31 May 2018.
FIFA World Cup
Matches
Africa Cup of Nations Group
Matches
Head-to-head performance
Correct as of 13 June 2022.
(*) includes (**) includes (***) includes
Appearances
Goals
Captains
References
Morocco national football team |
https://en.wikipedia.org/wiki/Mohammad%20Moslemipour | Mohammad Moslemipour (born May 25, 1997) is an Iranian footballer who plays for Tractor as a defender.
Club career
Tractor S.C.
Moslemipour joined Tractor in summer 2017.
Club career statistics
References
External links
1997 births
Living people
Men's association football fullbacks
Footballers at the 2018 Asian Games
Iranian men's footballers
Asian Games competitors for Iran
Tractor S.C. players
Footballers from Tabriz |
https://en.wikipedia.org/wiki/Elijah%20Tamboo | Elijah Tamboo (born 22 October 1993) is a Seychellois professional footballer who plays as a forward for Seychelles First Division side Saint Louis Suns United.
Career statistics
Club
Notes
International
International goals
Scores and results list the Seychelles' goal tally first.
References
External links
1993 births
Living people
Seychellois men's footballers
Seychelles men's international footballers
Men's association football forwards
Saint Louis Suns United FC players |
https://en.wikipedia.org/wiki/Sera%20Motebang | Sera Motebang (born 1 May 1995) is a Mosotho professional footballer who plays as a forward for Royal AM and the Lesotho national team.
Career statistics
International
International goals
Scores and results list Lesotho's goal tally first.
References
External links
1995 births
Living people
Lesotho men's footballers
Lesotho expatriate men's footballers
Lesotho men's international footballers
Men's association football forwards
Matlama FC players
Bloemfontein Celtic F.C. players
Royal AM F.C. players
Lamontville Golden Arrows F.C. players
South African Premier Division players
Expatriate men's soccer players in South Africa
Lesotho expatriate sportspeople in South Africa
People from Maseru |
https://en.wikipedia.org/wiki/List%20of%20FC%20Pune%20City%20records%20and%20statistics | FC Pune City (FCPC) is an Indian professional football club based in the city of Pune, Maharashtra, which plays in the Indian Super League. The club was formed in 2014 with a philosophy to provide stimulus to the growth and development of football in the state of Maharashtra and to participate in the inaugural season of the Indian Super League. The team is owned by Rajesh Wadhawan Group, its promoters Mr. Kapil Wadhawan and Mr. Dheeraj Wadhawan and actor Arjun Kapoor.
The philosophy behind the inception of the club was to promote and develop the game of football in the city of Pune right from the grassroots levels onwards. FC Pune City aims to be the club which players passionately aspire to be a part of and a club to whom fans pledge their loyalties.
In 2016, FC Pune City became the only professional football club in India to have teams which participated at all levels of professional football; Senior Team (ISL), U-18 Team (I-League U-18), U- 16 Team, U-14 Team and the Women’s Team.
Team records
Seasons
Head coach's record
Player records
Youngest player to play- Fanai Lalrempuia (19 years and 148 years old, debut against Northeast United on 9 October 2015)
Oldest player- Robertino Pugliara (33 years and 323 years old, debut against Chennaiyin FC on 13 January 2018)
Top goalscorer- Emiliano Alfaro (19 goals, 0.47 per match)
References
FC Pune City related lists
Indian football club statistics |
https://en.wikipedia.org/wiki/Cho%20Won-woo | Cho Won-woo (born April 8, 1971) is the former professional baseball manager of the Lotte Giants of the KBO League.
References
External links
Career statistics and player information from the KBO League
1971 births
Living people
Doosan Bears coaches
Hanwha Eagles coaches
Hanwha Eagles players
KBO League outfielders
Lotte Giants coaches
Lotte Giants managers
Nippon Professional Baseball coaches
SSG Landers players
South Korean baseball coaches
South Korean baseball managers
South Korean baseball players
South Korean expatriate baseball people in Japan
Baseball players from Busan
Ssangbangwool Raiders players |
https://en.wikipedia.org/wiki/Figure%20skating%20records%20and%20statistics | The following articles list figure skating records and statistics:
Achievements
Major achievements in figure skating by nation
World Figure Skating Hall of Fame
First performed
Dances
Compulsory dances
Jumps
History of first jumps
Quad (figure skating)
International competitions
Major
Other
Discontinued competitions
Scores
List of highest scores in figure skating
List of highest historical scores in figure skating
List of highest junior scores in figure skating
List of highest historical junior scores in figure skating
Standings
ISU World Standings and Season's World Ranking
List of highest ranked figure skaters by nation
List of ISU World Standings and Season's World Ranking statistics
Notes
References
External links
International Skating Union |
https://en.wikipedia.org/wiki/Archie%20Meiklem | Archibald C. Meiklem was a Scottish amateur footballer who played as an outside right in the Scottish League for Queen's Park.
Career statistics
References
Scottish men's footballers
British Army personnel of World War I
Queen's Park F.C. players
Year of death missing
Scottish Football League players
Place of birth missing
Footballers from Glasgow
Men's association football outside forwards
1889 births |
https://en.wikipedia.org/wiki/Compact%20object%20%28mathematics%29 | In mathematics, compact objects, also referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying a certain finiteness condition.
Definition
An object X in a category C which admits all filtered colimits (also known as direct limits) is called compact if the functor
commutes with filtered colimits, i.e., if the natural map
is a bijection for any filtered system of objects in C. Since elements in the filtered colimit at the left are represented by maps , for some i, the surjectivity of the above map amounts to requiring that a map factors over some .
The terminology is motivated by an example arising from topology mentioned below. Several authors also use a terminology which is more closely related to algebraic categories: use the terminology finitely presented object instead of compact object. call these the objects of finite presentation.
Compactness in ∞-categories
The same definition also applies if C is an ∞-category, provided that the above set of morphisms gets replaced by the mapping space in C (and the filtered colimits are understood in the ∞-categorical sense, sometimes also referred to as filtered homotopy colimits).
Compactness in triangulated categories
For a triangulated category C which admits all coproducts, defines an object to be compact if
commutes with coproducts. The relation of this notion and the above is as follows: suppose C arises as the homotopy category of a stable ∞-category admitting all filtered colimits. (This condition is widely satisfied, but not automatic.) Then an object in C is compact in Neeman's sense if and only if it is compact in the ∞-categorical sense. The reason is that in a stable ∞-category, always commutes with finite colimits since these are limits. Then, one uses a presentation of filtered colimits as a coequalizer (which is a finite colimit) of an infinite coproduct.
Examples
The compact objects in the category of sets are precisely the finite sets.
For a ring R, the compact objects in the category of R-modules are precisely the finitely presented R-modules. In particular, if R is a field, then compact objects are finite-dimensional vector spaces.
Similar results hold for any category of algebraic structures given by operations on a set obeying equational laws. Such categories, called varieties, can be studied systematically using Lawvere theories. For any Lawvere theory T, there is a category Mod(T) of models of T, and the compact objects in Mod(T) are precisely the finitely presented models. For example: suppose T is the theory of groups. Then Mod(T) is the category of groups, and the compact objects in Mod(T) are the finitely presented groups.
The compact objects in the derived category of R-modules are precisely the perfect complexes.
Compact topological spaces are not the compact objects in the category of topological spaces. Instead these are precisely the finite sets endowed with the discrete topology. The link |
https://en.wikipedia.org/wiki/Constance%20Anne%20Herschel | Constance Anne Herschel (1855 - 1939), later known as Lady Lubbock, was a scientist and mathematician.
Herschel held the post of resident lecturer in natural sciences and mathematics at Girton College, Cambridge.
She was the child of Sir John Frederick William Herschel, and the grandchild of William Herschel. She wrote a family history of the famous scientific dynasty by compiling family sources, 'The Herschel Chronicle'.
She married Sir Neville Lubbock.
References
1855 births
1939 deaths
British women mathematicians |
https://en.wikipedia.org/wiki/Chan%20Chi%20Ieng | Chan Chi Ieng (; born 8 June 1993) is a Macanese footballer who currently plays as a midfielder for Polícia de Segurança Pública.
Career statistics
Club
Notes
International
References
1993 births
Living people
Macau men's footballers
Macau men's international footballers
Men's association football midfielders |
https://en.wikipedia.org/wiki/Samuel%20Ramosoeu | Samuel Thabo Ramosoeu (né Maposa; born 15 August 1982) is a South African-born, Botswanan footballer who plays as a midfielder for Liga de Elite side Hang Sai.
Career statistics
Club
Notes
References
1982 births
Living people
Botswana men's footballers
Botswana men's international footballers
Men's association football forwards
Bidvest Wits F.C. players
Winners Park F.C. players
Windsor Arch Ka I players
Botswana expatriate men's footballers
Botswana expatriate sportspeople in Namibia
Expatriate men's association footballers in New Zealand
Expatriate men's footballers in Namibia
Expatriate men's footballers in Macau
Expatriate men's footballers in England |
https://en.wikipedia.org/wiki/2018%20Prime%20Minister%20Cup | The 2018 Prime Minister Cup was the second edition of Prime Minister One Day Cup, which featured 10 teams.
Group stage
Group A
Group B
Semi-finals
Final
Statistics
Most runs
Most wickets
References
External links
Series home at ESPN Cricinfo
Prime Minister Cup
Prime Minister Cup |
https://en.wikipedia.org/wiki/Shusuke%20Ikuhara | is a Japanese professional basketball player who plays for the Shinshu Brave Warriors of the B.League in Japan. He played college basketball for the University of Tsukuba.
Career statistics
|-
| align="left" |2016-17
| align="left" rowspan="2" |Tochigi
|11 ||0||7.1||.393 ||.375 ||.600 ||1.00 ||0.2 ||0.0 ||0.1 ||0.5 ||3.0
|-
| align="left" | 2017-18
|57 ||0||17.6||.389 ||.330 ||.818 ||1.3 ||1.1 ||0.3 ||0.1 ||0.6 ||5.1
|-
| align="left" | 2018-19
| align="left" rowspan="1" |Mikawa
|53 ||46||20.3||.346 ||.275 ||.750 ||2.2 ||2.1 ||0.5 ||0.1 ||0.8 ||3.8
|-
| align="left" | 2019-20
| align="left" rowspan="1" | Yokohama
| || |||| || || || || || || || ||
|-
|}
References
External links
1994 births
Living people
Japanese men's basketball players
Utsunomiya Brex players
Sportspeople from Tokushima Prefecture
People from Tokushima (city)
Yokohama B-Corsairs players
Point guards |
https://en.wikipedia.org/wiki/Institut%20de%20math%C3%A9matiques%20de%20Jussieu%20%E2%80%93%20Paris%20Rive%20Gauche | The Mathematics Institute of Jussieu–Paris Rive Gauche (Institut de mathématiques de Jussieu–Paris Rive Gauche, IMJ-PRG) is a French research institute in fundamental mathematics. It is a "mixed research unit", with three parent organizations: the Centre national de la recherche scientifique, Sorbonne University, and the University of Paris. It is located in Paris, split between two campuses: Jussieu and Paris Rive Gauche.
It is the largest research center for fundamental mathematics in France. More than 200 permanent researchers work at the institute, around 100 PhD students, as well as emeritus professors, postdocs, invited researchers, and ATERs, and support staff.
The IMJ-PRG is the largest research unit linked to the doctoral school of mathematical sciences of Paris center (École doctorale de sciences mathématiques de Paris-Centre). It has its own journal, the Journal de l'institut de mathématiques de Jussieu, published by Cambridge University Press and covering all areas of fundamental mathematics.
Each year since 2001, the institute organizes an international summer school dedicated to a hot topic in current mathematical research.
History
The institute was created on January 1, 1994, under the name Institut de mathématiques de Jussieu. It moved in 1999 to the Chevaleret location in Paris. In 2010, half of the institute moved back to Jussieu; in 2013, the other half moved to Paris Rive Gauche and the institute changed its name to the current one.
The institute is one of the founding members of the Research Federation in Mathematics of Paris Center (Fédération de recherche en mathématiques de Paris centre). Since 2007, it has been affiliated with the Mathematical Sciences Foundation of Paris (Fondation sciences mathématiques de Paris).
Distinctions
Several members of the IMJ-PRG received national and international awards for their research. Most prominently, Artur Avila received the Fields Medal in 2014, and Claire Voisin received the CNRS Gold medal in 2016.
Themes
The research at the IMJ-PRG covers most of fundamental mathematics. It is subdivided in twelve team-projects: algebraic analysis; complex analysis and geometry; functional analysis; operator algebra; combinatorics and optimization; automorphic forms; history of mathematical sciences; geometry and dynamics; groups, representations, and geometry; mathematical logic; number theory; and algebraic topology and (algebraic) geometry.
References
Research institutes in France
Mathematical institutes
French National Centre for Scientific Research
Paris Diderot University
Paris-Sorbonne University |
https://en.wikipedia.org/wiki/Wang%20Feng%20%28footballer%29 | Wang Feng (, born 1956 in Guangxi) is a Chinese former footballer who played as a forward for the China national football team during the 1970s and 80s.
Career statistics
International
International goals
Scores and results list China's goal tally first.
References
1956 births
Living people
Chinese men's footballers
China men's international footballers
Footballers from Guangxi
1980 AFC Asian Cup players
Men's association football forwards
Asian Games bronze medalists for China
Footballers at the 1978 Asian Games
Medalists at the 1978 Asian Games
Asian Games medalists in football |
https://en.wikipedia.org/wiki/Enemies%20%28Champions%29 | Enemies is a 1981 role-playing game supplement published by Hero Games for Champions.
Contents
Enemies is a supplement which includes game statistics and illustrations for 36 villains with different levels of expertise and intent.
Reception
Aaron Allston reviewed Enemies in The Space Gamer No. 47. Allston commented that "Buyers wanting to see interesting and useful applications of Champions character-building would do well to pick this up."
Pete Tamlyn reviewed Enemies I for Imagine magazine, and stated that "the designers manage to demonstrate their awareness of the importance of atmosphere by giving each character an interesting background. Even so I would not normally recommend anyone with a decent imagination to bother with this, were it not for the fact that the villains get used elsewhere."
Reviews
Different Worlds #32 (Jan./Feb., 1984)
References
Champions (role-playing game) supplements
Role-playing game supplements introduced in 1981 |
https://en.wikipedia.org/wiki/Gottfried%20Wilhelm%20Leibniz%20bibliography | Gottfried Wilhelm Leibniz was a major contributor to mathematics, physics, philosophy, theology, logic, and early computer science; independent inventor of calculus in mathematics; inventor of energy and the action principle in physics; jurist, genealogist, diplomat, librarian; worked towards reunification of Catholic and Protestant faiths.
This in-progress article will list all his published and unpublished works primarily based on the Leibniz Library in Hannover, and its online catalog.
Table of works
Notes:
1. Dates in the table refer to the estimated date of completion of manuscripts if first publication occurred after Leibniz's death (1716).
2. Title and description link to English Wikipedia article if available.
See also
Leibniz outline
Transcribed collections
Collected Letters 1691–1693 (Hannover, 5th Band)
Opera omnia, nunc primum collectas; at Bibliothèque nationale de France
References
Gottfried Wilhelm Leibniz
Works by Gottfried Wilhelm Leibniz |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Legarreta | José Legarreta Abaitua (12 February 1903 – 17 September 1957) was a Spanish footballer who represented his nation at the 1928 Summer Olympics in the Netherlands.
Career statistics
Club
Notes
References
External links
1903 births
1957 deaths
Spanish men's footballers
Men's association football midfielders
Athletic Bilbao footballers
La Liga players
Olympic footballers for Spain
Footballers at the 1928 Summer Olympics
People from Greater Bilbao
Footballers from Biscay
Spain men's international footballers |
https://en.wikipedia.org/wiki/Muslih%20Peyko%C4%9Flu | Muslihittin Peykoğlu (20 October 1905 – 27 December 1960) was a Turkish footballer who represented his nation at the 1928 Summer Olympics in the Netherlands.
Career statistics
International
International goals
Scores and results list Turkey's goal tally first.
References
1905 births
1960 deaths
Turkish men's footballers
Turkey men's international footballers
Men's association football forwards
Footballers at the 1924 Summer Olympics
Footballers at the 1928 Summer Olympics
Olympic footballers for Turkey
Footballers from Istanbul |
https://en.wikipedia.org/wiki/Loop%20sectioning | In geometry and the mathematical discipline of topology, loop strip-mining, or sectioning, is a special case of tiling, namely 1-dimensional tiling: a loop is transformed into a depth-2 loop nest, where the outer loop is called tile/block loop and the innermost loop is called element loop.
Strip-mining was introduced for vector processors. It is a loop-transformation technique for enabling vectorization of loops and improving memory performance.
The term strip-mine is really inspired from mining coal, for example, with the excavator, which uses a bucket (or bucket wheel) to "strip" the coal.
Tiling |
https://en.wikipedia.org/wiki/1970%E2%80%9371%20FK%20Partizan%20season | The 1970–71 season was the 25th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1970–71 season.
Competitions
Yugoslav First League
Yugoslav Cup
Napredak won on penalties.
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1970-71 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Stochastic%20homogenization | In homogenization theory, a branch of mathematics, stochastic homogenization is a technique for understanding solutions to partial differential equations with oscillatory random coefficients.
References
Partial differential equations
Stochastic processes
Stochastic models |
https://en.wikipedia.org/wiki/Abstract%20differential%20equation | In mathematics, an abstract differential equation is a differential equation in which the unknown function and its derivatives take values in some generic abstract space (a Hilbert space, a Banach space, etc.). Equations of this kind arise e.g. in the study of partial differential equations: if to one of the variables is given a privileged position (e.g. time, in heat or wave equations) and all the others are put together, an ordinary "differential" equation with respect to the variable which was put in evidence is obtained. Adding boundary conditions can often be translated in terms of considering solutions in some convenient function spaces.
The classical abstract differential equation which is most frequently encountered is the equation
where the unknown function belongs to some function space , and is an operator (usually a linear operator) acting on this space. An exhaustive treatment of the homogeneous () case with a constant operator is given by the theory of C0-semigroups. Very often, the study of other abstract differential equations amounts (by e.g. reduction to a set of equations of the first order) to the study of this equation.
The theory of abstract differential equations has been founded by Einar Hille in several papers and in his book Functional Analysis and Semi-Groups. Other main contributors were Kōsaku Yosida, Ralph Phillips, Isao Miyadera, and Selim Grigorievich Krein.
Abstract Cauchy problem
Definition
Let and be two linear operators, with domains and , acting in a Banach space . A function is said to have strong derivative (or to be Frechet differentiable or simply differentiable) at the point if there exists an element such that
and its derivative is .
A solution of the equation
is a function such that:
the strong derivative exists and for any such , and
the previous equality holds .
The Cauchy problem consists in finding a solution of the equation, satisfying the initial condition .
Well posedness
According to the definition of well-posed problem by Hadamard, the Cauchy problem is said to be well posed (or correct) on if:
for any it has a unique solution, and
this solution depends continuously on the initial data in the sense that if (), then for the corresponding solution at every
A well posed Cauchy problem is said to be uniformly well posed if implies uniformly in on each finite interval .
Semigroup of operators associated to a Cauchy problem
To an abstract Cauchy problem one can associate a semigroup of operators , i.e. a family of bounded linear operators depending on a parameter () such that
Consider the operator which assigns to the element the value of the solution of the Cauchy problem () at the moment of time . If the Cauchy problem is well posed, then the operator is defined on and forms a semigroup.
Additionally, if is dense in , the operator can be extended to a bounded linear operator defined on the entire space . In this case one can associate to any the function |
https://en.wikipedia.org/wiki/Reza%20Habibzadeh | Reza Habibzadeh (, born April 13, 1996, in Tehran, Iran) is an Iranian football midfielder who currently plays for Paykan in the Persian Gulf Pro League.
Club career
Club career statistics
References
1996 births
Living people
Iranian men's footballers
Men's association football midfielders
Naft Tehran F.C. players
Zob Ahan Esfahan F.C. players
Footballers from Tehran |
https://en.wikipedia.org/wiki/Tits%20metric | In mathematics, the Tits metric is a metric defined on the ideal boundary of an Hadamard space (also called a complete CAT(0) space). It is named after Jacques Tits.
Ideal boundary of an Hadamard space
Let (X, d) be an Hadamard space. Two geodesic rays c1, c2 : [0, ∞] → X are called asymptotic if they stay within a certain distance when traveling, i.e.
Equivalently, the Hausdorff distance between the two rays is finite.
The asymptotic property defines an equivalence relation on the set of geodesic rays, and the set of equivalence classes is called the ideal boundary ∂X of X. An equivalence class of geodesic rays is called a boundary point of X. For any equivalence class of rays and any point p in X, there is a unique ray in the class that issues from p.
Definition of the Tits metric
First we define an angle between boundary points with respect to a point p in X. For any two boundary points in ∂X, take the two geodesic rays c1, c2 issuing from p corresponding to the two boundary points respectively. One can define an angle of the two rays at p called the Alexandrov angle. Intuitively, take the triangle with vertices p, c1(t), c2(t) for a small t, and construct a triangle in the flat plane with the same side lengths as this triangle. Consider the angle at the vertex of the flat triangle corresponding to p. The limit of this angle when t goes to zero is defined as the Alexandrov angle of the two rays at p. (By definition of a CAT(0) space, the angle monotonically decreases as t decreases, so the limit exists.) Now we define to be this angle.
To define the angular metric on the boundary ∂X that does not depend on the choice of p, we take the supremum over all points in X
The Tits metric dT is the length metric associated to the angular metric, that is for any two boundary points, the Tits distance between them is the infimum of lengths of all the curves on the boundary that connect them measured in the angular metric. If there is no such curve with finite length, the Tits distance between the two points is defined as infinity.
The ideal boundary of X equipped with the Tits metric is called the Tits boundary, denoted as ∂TX.
For a complete CAT(0) space, it can be shown that its ideal boundary with the angular metric is a complete CAT(1) space, and its Tits boundary is also a complete CAT(1) space. Thus for any two boundary points such that , we have
and the points can be joined by a unique geodesic segment on the boundary. If the space is proper, then any two boundary points at finite Tits distance apart can be joined by a geodesic segment on the boundary.
Examples
For a Euclidean space En, its Tits boundary is the unit sphere Sn - 1.
An Hadamard space X is called a visibility space if any two distinct boundary points are the endpoints of a geodesic line in X. For such a space, the angular distance between any two boundary points is equal to π, so there is no curve with finite length on the ideal boundary that connects any two distinct |
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