source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Miranda%20Municipality%2C%20Trujillo | Miranda is one of the 20 municipalities (municipios) that makes up the Venezuelan state of Trujillo and, according to a 2011 population estimate by the National Institute of Statistics of Venezuela, the municipality has a population of 29,445. The town of El Dividive is the municipal seat of Miranda Municipality.
References
Municipalities of Trujillo (state) |
https://en.wikipedia.org/wiki/Trujillo%20Municipality | Trujillo is one of the 20 municipalities (municipios) that makes up the Venezuelan state of Trujillo and, according to a 2011 population estimate by the National Institute of Statistics of Venezuela, the municipality has a population of 54,213. The city of Trujillo is the municipal seat of Trujillo Municipality.
References
Municipalities of Trujillo (state) |
https://en.wikipedia.org/wiki/Polynomial%20solutions%20of%20P-recursive%20equations | In mathematics a P-recursive equation can be solved for polynomial solutions. Sergei A. Abramov in 1989 and Marko Petkovšek in 1992 described an algorithm which finds all polynomial solutions of those recurrence equations with polynomial coefficients. The algorithm computes a degree bound for the solution in a first step. In a second step an ansatz for a polynomial of this degree is used and the unknown coefficients are computed by a system of linear equations. This article describes this algorithm.
In 1995 Abramov, Bronstein and Petkovšek showed that the polynomial case can be solved more efficiently by considering power series solution of the recurrence equation in a specific power basis (i.e. not the ordinary basis ).
Other algorithms which compute rational or hypergeometric solutions of a linear recurrence equation with polynomial coefficients also use algorithms which compute polynomial solutions.
Degree bound
Let be a field of characteristic zero and a recurrence equation of order with polynomial coefficients , polynomial right-hand side and unknown polynomial sequence . Furthermore denotes the degree of a polynomial (with for the zero polynomial) and denotes the leading coefficient of the polynomial. Moreover letfor where denotes the falling factorial and the set of nonnegative integers. Then . This is called a degree bound for the polynomial solution . This bound was shown by Abramov and Petkovšek.
Algorithm
The algorithm consists of two steps. In a first step the degree bound is computed. In a second step an ansatz with a polynomial of that degree with arbitrary coefficients in is made and plugged into the recurrence equation. Then the different powers are compared and a system of linear equations for the coefficients of is set up and solved. This is called the method undetermined coefficients. The algorithm returns the general polynomial solution of a recurrence equation.
algorithm polynomial_solutions is
input: Linear recurrence equation .
output: The general polynomial solution if there are any solutions, otherwise false.
for do
repeat
with unknown coefficients for
Compare coefficients of polynomials and to get possible values for
if there are possible values for then
return general solution
else
return false
end if
Example
Applying the formula for the degree bound on the recurrence equationover yields . Hence one can use an ansatz with a quadratic polynomial with . Plugging this ansatz into the original recurrence equation leads toThis is equivalent to the following system of linear equationswith the solution . Therefore the only polynomial solution is .
References
Polynomials |
https://en.wikipedia.org/wiki/Abramov%27s%20algorithm | In mathematics, particularly in computer algebra, Abramov's algorithm computes all rational solutions of a linear recurrence equation with polynomial coefficients. The algorithm was published by Sergei A. Abramov in 1989.
Universal denominator
The main concept in Abramov's algorithm is a universal denominator. Let be a field of characteristic zero. The dispersion of two polynomials is defined aswhere denotes the set of non-negative integers. Therefore the dispersion is the maximum such that the polynomial and the -times shifted polynomial have a common factor. It is if such a does not exist. The dispersion can be computed as the largest non-negative integer root of the resultant . Let be a recurrence equation of order with polynomial coefficients , polynomial right-hand side and rational sequence solution . It is possible to write for two relatively prime polynomials . Let andwhere denotes the falling factorial of a function. Then divides . So the polynomial can be used as a denominator for all rational solutions and hence it is called a universal denominator.
Algorithm
Let again be a recurrence equation with polynomial coefficients and a universal denominator. After substituting for an unknown polynomial and setting the recurrence equation is equivalent toAs the cancel this is a linear recurrence equation with polynomial coefficients which can be solved for an unknown polynomial solution . There are algorithms to find polynomial solutions. The solutions for can then be used again to compute the rational solutions .
algorithm rational_solutions is
input: Linear recurrence equation .
output: The general rational solution if there are any solutions, otherwise false.
Solve for general polynomial solution
if solution exists then
return general solution
else
return false
end if
Example
The homogeneous recurrence equation of order over has a rational solution. It can be computed by considering the dispersionThis yields the following universal denominator:andMultiplying the original recurrence equation with and substituting leads toThis equation has the polynomial solution for an arbitrary constant . Using the general rational solution isfor arbitrary .
References
Computer algebra |
https://en.wikipedia.org/wiki/P-recursive%20equation | In mathematics a P-recursive equation is a linear equation of sequences where the coefficient sequences can be represented as polynomials. P-recursive equations are linear recurrence equations (or linear recurrence relations or linear difference equations) with polynomial coefficients. These equations play an important role in different areas of mathematics, specifically in combinatorics. The sequences which are solutions of these equations are called holonomic, P-recursive or D-finite.
From the late 1980s, the first algorithms were developed to find solutions for these equations. Sergei A. Abramov, Marko Petkovšek and Mark van Hoeij described algorithms to find polynomial, rational, hypergeometric and d'Alembertian solutions.
Definition
Let be a field of characteristic zero (for example ), polynomials for , a sequence and an unknown sequence. The equationis called a linear recurrence equation with polynomial coefficients (all recurrence equations in this article are of this form). If and are both nonzero, then is called the order of the equation. If is zero the equation is called homogeneous, otherwise it is called inhomogeneous.
This can also be written as where is a linear recurrence operator with polynomial coefficients and is the shift operator, i.e. .
Closed form solutions
Let or equivalently be a recurrence equation with polynomial coefficients. There exist several algorithms which compute solutions of this equation. These algorithms can compute polynomial, rational, hypergeometric and d'Alembertian solutions. The solution of a homogeneous equation is given by the kernel of the linear recurrence operator: . As a subspace of the space of sequences this kernel has a basis. Let be a basis of , then the formal sum for arbitrary constants is called the general solution of the homogeneous problem . If is a particular solution of , i.e. , then is also a solution of the inhomogeneous problem and it is called the general solution of the inhomogeneous problem.
Polynomial solutions
In the late 1980s Sergei A. Abramov described an algorithm which finds the general polynomial solution of a recurrence equation, i.e. , with a polynomial right-hand side. He (and a few years later Marko Petkovšek) gave a degree bound for polynomial solutions. This way the problem can simply be solved by considering a system of linear equations. In 1995 Abramov, Bronstein and Petkovšek showed that the polynomial case can be solved more efficiently by considering power series solution of the recurrence equation in a specific power basis (i.e. not the ordinary basis ).
The other algorithms for finding more general solutions (e.g. rational or hypergeometric solutions) also rely on algorithms which compute polynomial solutions.
Rational solutions
In 1989 Sergei A. Abramov showed that a general rational solution, i.e. , with polynomial right-hand side , can be found by using the notion of a universal denominator. A universal denominator is a polynomia |
https://en.wikipedia.org/wiki/Sigal%20Gottlieb | Sigal Gottlieb is an applied mathematician. She is a professor of mathematics and (since 2013) the director of the Center for Scientific Computing and Visualization Research at the University of Massachusetts Dartmouth.
Life
Sigal Gottlieb is the daughter and co-author of applied mathematician David Gottlieb. She completed her undergraduate, masters and her Ph.D. at Brown University. She defended her Ph.D. thesis in 1998 under the supervision of Chi-Wang Shu; her dissertation was Convergence to Steady State of Weighted ENO Schemes, Norm Preserving Runge-Kutta Methods and a Modified Conjugate Gradient Method.
Research
Gottlieb's interests lie in the numerical simulation of the partial differential equations used in aerodynamics.
She has authored the following books :
Spectral Methods for Time-Dependent Problems (with Jan S. Hesthaven and David Gottlieb, Cambridge Monographs on Applied and Computational Mathematics, 21, Cambridge University Press, 2007)
Strong Stability Preserving Runge–Kutta and Multistep Time Discretizations (with David Ketcheson and Chi-Wang Shu, World Scientific, 2011)
Gottlieb directs UMass Dartmouth's Center for Scientific Computing & Visualization Research, which is a research center with over 30 faculty, multiple computational clusters, and an international advisory board. She founded the Center in 2013 with a colleague, Gaurav Khanna. She served as Deputy Director of the Institute for Computational and Experimental Research in Mathematics (ICERM) from 2017 to 2021, and as of 2021 she serves as Associate Director for Special Projects there.
Recognition
In 2019 Gottlieb was named a SIAM Fellow "for her contribution to strong-stability-preserving time discretizations and other schemes for hyperbolic equations, and for her professional services including those to SIAM and women in mathematics". Gottlieb was named a Fellow of the Association for Women in Mathematics in the Class of 2021 "for exemplary and lasting work in forging an active and positive research environment, proactive outreach, effective mentoring, and promoting the success of women in mathematical and computational sciences".
References
External links
21st-century American mathematicians
American women mathematicians
Brown University alumni
University of Massachusetts Dartmouth faculty
Year of birth missing (living people)
Living people
21st-century women mathematicians
Fellows of the Society for Industrial and Applied Mathematics
Fellows of the Association for Women in Mathematics
21st-century American women |
https://en.wikipedia.org/wiki/Mythily%20Ramaswamy | Mythily Ramaswamy (born 6 June 1954) is an Indian mathematician and professor in the Department of Mathematics at the TIFR Centre for Applicable Mathematics of the Tata Institute of Fundamental Research in Bangalore. Her research involves functional analysis and controllability of partial differential equations.
Education
Ramaswamy was born near Mumbai, to a banking family, but moved often to other parts of India as a child.
She obtained her doctorate in 1990 from Pierre and Marie Curie University in Paris. Her dissertation, Sur des questions de symetrie dans des problemes elliptiques [On questions of symmetry in elliptic problems] was supervised by Henri Berestycki.
Recognition
Ramaswamy was the 2004 winner of the Kalpana Chawla Award of the Karnataka State Council for Science and Technology, "given to a young woman scientist for achievements in the field of science and technology".
She was elected to the Indian Academy of Sciences in 2007. She became a Fulbright Scholar for 2016–2017, funding her to visit Michael Renardy at Virginia Tech.
References
1954 births
Living people
Indian mathematicians
Women mathematicians
Control theorists
Mathematical analysts
Pierre and Marie Curie University alumni
Academic staff of Tata Institute of Fundamental Research |
https://en.wikipedia.org/wiki/Yuji%20Yoshioka | is a former Nippon Professional Baseball infielder and the current coach of the Hokkaido Nippon-Ham Fighters.。
References
External links
Career statistics and player information from NPB.jp
1971 births
Living people
Kintetsu Buffaloes players
Japanese baseball coaches
Japanese expatriate baseball players in Mexico
Managers of baseball teams in Japan
Mexican League baseball first basemen
Mexican League baseball third basemen
Nippon Professional Baseball first basemen
Nippon Professional Baseball third basemen
Osaka Kintetsu Buffaloes players
People from Adachi, Tokyo
Baseball people from Tokyo
Tecolotes de Nuevo Laredo players
Tohoku Rakuten Golden Eagles players
Yomiuri Giants players |
https://en.wikipedia.org/wiki/Tom%C3%A9%20%28Angolan%20footballer%29 | Tomé Osvaldo Alberto Pedro (born 22 July 1998), commonly known as Tomé, is an Angolan footballer who currently plays as a defender for Mar Menor.
Career statistics
Club
Notes
International
References
1998 births
Living people
Angolan men's footballers
Angola men's international footballers
Men's association football defenders
Atlético Petróleos de Luanda players
Tercera División players
Angolan expatriate men's footballers
Angolan expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Footballers from Luanda
Racing Cartagena Mar Menor FC players |
https://en.wikipedia.org/wiki/Queiroz%20%28Brazilian%20footballer%29 | Matheus Queiroz Moura (born 12 February 1996), commonly known as Queiroz, is a Brazilian footballer who currently plays as a midfielder for São Paulo.
Career statistics
Club
Notes
References
1996 births
Living people
Brazilian men's footballers
Men's association football midfielders
São Paulo FC players
Boa Esporte Clube players
Clube de Regatas Brasil players |
https://en.wikipedia.org/wiki/Aleksandar%20Stanisavljevi%C4%87%20%28footballer%2C%20born%201998%29 | Aleksandar Stanisavljević (; ; born 27 January 1998) is a Serbian professional footballer who plays as a defender. He also holds Russian citizenship.
Career statistics
Club
References
External links
1998 births
Living people
Serbian men's footballers
Serbia men's youth international footballers
Naturalised citizens of Russia
Men's association football defenders
PFC Slavia Sofia players
POFC Botev Vratsa players
FK Radnik Surdulica players
FC Tom Tomsk players
First Professional Football League (Bulgaria) players
Serbian expatriate men's footballers
Expatriate men's footballers in Bulgaria
PFC CSKA Moscow players
Sportspeople from Leskovac
Expatriate men's footballers in Russia |
https://en.wikipedia.org/wiki/John%20Stuart%20Wilson | John Stuart Wilson (born 5 April 1944) is a British mathematician and former professor of mathematics at the University of Oxford. He is a Fellow of Christ's College, Cambridge and an Honorary Professor of the University of Leipzig. He specialises in algebra and group theory.
He also composes music for choirs and for vocal and instrumental ensembles.
Education
John Wilson was educated at Christ's College, Cambridge. After gaining the BA degree in 1966 he obtained the PhD degree in 1971 with a dissertation entitled Subgroups of finite index in infinite groups. He was awarded the degree of ScD in 1989.
Research
John Wilson has worked on many aspects of group theory. His best known contributions are to the study of just infinite groups and branch groups, to profinite group theory, to generation results for finite simple groups, and solubility criteria for finite groups
Mathematical career
John Wilson was elected a Fellow of Christ's College, Cambridge in 1969, and subsequently became a Lecturer in Mathematics in the Department of Pure Mathematics and Mathematical Statistics. In 1993 he was appointed to the Mason Chair of Mathematics at the University of Birmingham, and in 2003 became professor of mathematics at the University of Oxford.
On retirement from Oxford in 2011 he returned to Cambridge. He held the Leibniz Professorship at the University of Leipzig during the winter semester 2014–15 and in 2017 became an honorary professor of the University of Leipzig. He served as editor-in-chief of the Journal of Group Theory from its foundation for 20 years.
Music
John Wilson received the Licentiate of the Royal Academy of Music (LRAM) in 1963 and had some composition lessons with Luciano Berio. He has been involved with choral singing since his childhood and has sung under the batons of distinguished conductors including Benjamin Britten.
His compositions for choir include psalm and canticle settings, settings of texts by John Milton and Martin Luther, and part songs. He has also written Lieder with texts by Shakespeare, Brentano, Mongré and other poets, and music for various combinations of instruments.
References
Academics of the University of Oxford
1944 births
Living people
Alumni of Christ's College, Cambridge
Fellows of Christ's College, Cambridge
Academics of the University of Birmingham
Academic journal editors
20th-century British composers
21st-century British mathematicians
21st-century British composers
Group theorists |
https://en.wikipedia.org/wiki/Kaoru%20Ono | Kaoru Ono (小野 薫, Ono Kaoru, born 1962) is a Japanese mathematician, specializing in symplectic geometry. He is a professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University.
Ono received from the University of Tokyo his undergraduate degree in 1984, his master's degree in 1987, and his Ph.D. in 1990. Within symplectic geometry, his research has focused on Floer theory and holomorphic symplectic geometry involving holomorphic curves and pseudoholomorphic curves and their applications. He has collaborated extensively with Kenji Fukaya, Oh Yong-Geun, and Hiroshi Ohta (see Fukaya category).
Ono was awarded by the Mathematical Society of Japan in 1999 the Geometry Prize and in 2005 the Autumn Prize. He was awarded by the Inoue Foundation for Science in February 2007 the Inoue Prize for Science. In 2006 he was an Invited Speaker with talk Development in symplectic Floer theory at the International Congress of Mathematicians in Madrid.
In 2022, he serves as Director of the Research Institute for Mathematical Sciences of Kyoto University (KURIMS).
Selected publications
On the Arnold conjecture for weakly monotone symplectic manifold, Vol. 119, 1995, pp. 519–537
with Fukaya: Arnold conjecture and Gromov-Witten invariant, Topology, Vol. 38, 1999, pp. 933–1048
with Fukaya: Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds. The Arnoldfest: Proceedings of a Conference in Honour of V.I. Arnold for his Sixtieth Birthday (Toronto, 1997), 1999, pp. 173–190
Development in symplectic Floer theory, International Congress of Mathematicians, 2006, Proc. ICM Madrid, Volume 2, 1061–1082
with Fukaya, Oh, & Ohta: Lagrangian Intersection Floer Theory . AMS/IP Studies in Advanced Mathematics, 20
with Fukaya, Oh, & Ohta: "Technical details on Kuranishi structure and virtual fundamental chain." arXiv preprint arXiv:1209.4410, 2012
References
20th-century Japanese mathematicians
21st-century Japanese mathematicians
Academic staff of Kyoto University
Academic staff of Hokkaido University
University of Tokyo alumni
1962 births
Living people |
https://en.wikipedia.org/wiki/M%C3%A1ty%C3%A1s%20Tajti | Mátyás Tajti (born 2 June 1998) is a Hungarian professional footballer who plays for Újpest.
Club statistics
Updated to games played as of 25 August 2019.
References
External links
1998 births
Footballers from Budapest
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Hungary men's under-21 international footballers
Men's association football defenders
Atlético Malagueño players
Diósgyőri VTK players
Zagłębie Lubin players
Zalaegerszegi TE players
Újpest FC players
Nemzeti Bajnokság I players
Ekstraklasa players
III liga players
Hungarian expatriate men's footballers
Expatriate men's footballers in Spain
Hungarian expatriate sportspeople in Spain
Expatriate men's footballers in Poland
Hungarian expatriate sportspeople in Poland |
https://en.wikipedia.org/wiki/Marti%20Anderson%20%28statistician%29 | Marti J. Anderson is an ecological statistician whose works is interdisciplinary, from marine biology and ecology to mathematical and applied statistics. Her core areas of research and expertise are: community ecology, biodiversity, multivariate analysis, resampling methods, experimental designs, and statistical models of species abundances. Based in Auckland, New Zealand, she is a Distinguished Professor in the New Zealand Institute for Advanced Study at Massey University and also the Director of the New Zealand research and software-development company, PRIMER-e (Quest Research Limited).
Academic career
Marti J. Anderson completed a Bachelor of Arts (BA) in Biology at Occidental College in 1991, advised by Dr Gary Martin. She then pursued a Graduate Diploma of Science (Honours) in Zoology at the University of Sydney in Australia, going on to complete a PhD in Marine Ecology supervised by Professor Antony J. Underwood (completed in 1997). Following this, she was awarded a U2000 Postdoctoral Fellowship to continue her work in marine science as part of the Centre for Ecological Impacts of Coastal Cities at the University of Sydney. During this time, she also completed a Master of Arts (MA) in Mathematical Statistics supervised by Professor John Robinson (completed in 1999).
In 1999, she began a full-time academic position as Lecturer in the Department of Statistics at the University of Auckland, rising to Associate Professor in 2007. She was appointed to a Professorial Chair in Statistics at the Institute for Information and Mathematical Sciences (IIMS) at Massey University's Albany campus in 2009. She was the first woman to be appointed to a full-time Professorial position in New Zealand in any of the fields of Mathematics, Statistics or Computer Science.
She became a member of the Professoriate in the New Zealand Institute for Advanced Study (NZIAS) in 2011, and soon thereafter (2013), she was elected a Fellow of the Royal Society of New Zealand. In 2015 she was awarded a James Cook Research Fellowship for work on multivariate statistical models of ecological communities. She was awarded the title of Distinguished Professor by Massey University in 2018.
Marti J. Anderson is also the sole Director of the New Zealand research and software-development company PRIMER-e (Quest Research Limited).
Selected works
Anderson, Marti, Ray N. Gorley, and Robert K. Clarke. Permanova+ for Primer: Guide to Software and Statisticl Methods. Primer-E Limited, 2008.
References
External links
Anderson on Introductions Necessary
Living people
Year of birth missing (living people)
New Zealand women academics
New Zealand marine biologists
University of Sydney alumni
New Zealand statisticians
Academic staff of Massey University
Fellows of the Royal Society of New Zealand
21st-century New Zealand women writers
James Cook Research Fellows |
https://en.wikipedia.org/wiki/Stefaan%20Vaes | Stefaan Vaes (born February 29, 1976 in Herentals, Belgium) is a Belgian mathematician.
Vaes studied mathematics at the KU Leuven with a diploma in 1998 and a PhD in 2001 with thesis advisor Alfons Van Daele and thesis Locally Compact Quantum Groups. As a postdoc he was from 1998 to 2002 at KU Leuven and from 1998 to 2002 in Paris, where he did research for CNRS. In 2002 he began part-time teaching at the KU Leuven, where he became an associate professor in 2006 and a full professor in 2009.
He was a visiting professor in 2009 at Pierre and Marie Curie University (Paris VI) and in 2011 at Paris Diderot University (Paris VII) (where he habilitated in 2004). In 2005 he held the Peccot Chair at the Collège de France.
His research deals with Von Neumann algebras and quantum groups.
In 2010, Vaes was an Invited Speaker with talk Rigidity for von Neumann algebras and their invariants at the International Congress of Mathematicians in Hyderabad. In 2012 he was elected a Fellow of the American Mathematical Society. In 2015 he received the Francqui Prize.
His doctoral students include Cyril Houdayer.
Selected references
with Johan Kustermans: Locally Compact Quantum Groups, Annales Scientifiques de l'École Normale Supérieure, vol. 33, 2000, pp. 837–934
with J. Kustermans: Locally compact quantum groups in the von Neumann algebraic setting, Mathematica Scandinavica, Vol. 92, 2003, pp. 68–92
with J. Kustermans: The operator algebra approach to quantum groups, Proc. Natl. Acad. Sci. USA, Vol. 97, 2000, 547–552
with Adrian Ioana and Sorin Popa: A class of superrigid group by Neumann algebras, Annals of Mathematics, Vol. 178, 2013, pp. 231–286
with Sorin Popa: Group measure space decomposition of factors and W*-superrigidity, Inventiones Mathematicae, Vol. 182, 2010, pp. 371–417.
See also
Locally compact quantum group
References
External links
20th-century Belgian mathematicians
21st-century Belgian mathematicians
KU Leuven alumni
Academic staff of KU Leuven
Fellows of the American Mathematical Society
1976 births
Living people |
https://en.wikipedia.org/wiki/Pedro%20Agostinho%20%28footballer%29 | Pedro Domingos Agostinho (born 30 July 2000) is an Angolan footballer who currently plays as a midfielder for Petro Luanda.
Career statistics
Club
Notes
International
References
2000 births
Living people
Angolan men's footballers
Angola men's international footballers
Men's association football midfielders
Atlético Petróleos de Luanda players
Girabola players |
https://en.wikipedia.org/wiki/ZX-calculus | The ZX-calculus is a rigorous graphical language for reasoning about linear maps between qubits, which are represented as string diagrams called ZX-diagrams. A ZX-diagram consists of a set of generators called spiders that represent specific tensors. These are connected together to form a tensor network similar to Penrose graphical notation. Due to the symmetries of the spiders and the properties of the underlying category, topologically deforming a ZX-diagram (i.e. moving the generators without changing their connections) does not affect the linear map it represents. In addition to the equalities between ZX-diagrams that are generated by topological deformations, the calculus also has a set of graphical rewrite rules for transforming diagrams into one another. The ZX-calculus is universal in the sense that any linear map between qubits can be represented as a diagram, and different sets of graphical rewrite rules are complete for different families of linear maps. ZX-diagrams can be seen as a generalisation of quantum circuit notation.
History
The ZX-calculus was first introduced by Bob Coecke and Ross Duncan in 2008 as an extension of the categorical quantum mechanics school of reasoning. They introduced the fundamental concepts of spiders, strong complementarity and most of the standard rewrite rules.
In 2009 Duncan and Perdrix found the additional Euler decomposition rule for the Hadamard gate, which was used by Backens in 2013 to establish the first completeness result for the ZX-calculus. Namely that there exists a set of rewrite rules that suffice to prove all equalities between stabilizer ZX-diagrams, where phases are multiples of , up to global scalars. This result was later refined to completeness including scalar factors.
Following an incompleteness result, in 2017, a completion of the ZX-calculus for the approximately universal fragment was found, in addition to two different completeness results for the universal ZX-calculus (where phases are allowed to take any real value).
Also in 2017 the book Picturing Quantum Processes was released, that builds quantum theory from the ground up, using the ZX-calculus. See also the 2019 book Categories for Quantum Theory.
Informal introduction
ZX-diagrams consist of green and red nodes called spiders, which are connected by wires. Wires may curve and cross, arbitrarily many wires may connect to the same spider, and multiple wires can go between the same pair of nodes. There are also Hadamard nodes, usually denoted by a yellow box, which always connect to exactly two wires.
ZX-diagrams represent linear maps between qubits, similar to the way in which quantum circuits represent unitary maps between qubits. ZX-diagrams differ from quantum circuits in two main ways. The first is that ZX-diagrams do not have to conform to the rigid topological structure of circuits, and hence can be deformed arbitrarily. The second is that ZX-diagrams come equipped with a set of rewrite rules, collectively r |
https://en.wikipedia.org/wiki/Shalon%20Knight | Shalon Knight (born 4 March 2000) is an Antigua and Barbudan international footballer who plays for the Antigua and Barbuda national football team.
Career statistics
International
References
External links
Shalon Knight at Caribbean Football Database
2018 statistics at DakStats
2000 births
Living people
Antigua and Barbuda men's footballers
Antigua and Barbuda men's international footballers
Antigua and Barbuda men's youth international footballers
Men's association football forwards
William Penn Statesmen men's soccer players
People from St. John's, Antigua and Barbuda |
https://en.wikipedia.org/wiki/Abdelhafid%20Benamara | Abdelhafid Benamara (; born 1 October 1995) is an Algerian footballer who currently plays as a midfielder for MC Oran in the Algerian Ligue Professionnelle 1.
Career statistics
Club
Notes
References
1995 births
Living people
Algerian men's footballers
Men's association football midfielders
MC Oran players
USM El Harrach players
Algerian Ligue Professionnelle 1 players
21st-century Algerian people |
https://en.wikipedia.org/wiki/Paul%20Iacob | Paul Alexandru Iacob (born 21 June 1996) is a Romanian professional footballer who plays as a defensive midfielder or a centre-back for Liga I club Rapid București.
Career statistics
Club
Honours
Gaz Metan Mediaș
Liga II: 2015–16
Dunărea Călărași
Liga II: 2017–18
Viitorul Constanța
Cupa României: 2018–19
Supercupa României: 2019
References
External links
Paul Iacob at Liga Profesionistă de Fotbal
1996 births
Living people
Footballers from Constanța
Romanian men's footballers
Men's association football midfielders
Liga I players
FC Viitorul Constanța players
AFC Chindia Târgoviște players
FC Rapid București players
Liga II players
CS Gaz Metan Mediaș players
FC Brașov (1936) players
ASA 2013 Târgu Mureș players
FC Dunărea Călărași players |
https://en.wikipedia.org/wiki/Takuya%20Ogiwara | is a Japanese professional footballer who plays as a left back for club Urawa Red Diamonds.
Club statistics
.
References
External links
Takuya Ogiwara at J.LEAGUE Data Site
Takuya Ogiwara at J.LEAGUE.jp (archive)
Takuya Ogiwara at Urawa Red Diamonds
1999 births
Living people
Japanese men's footballers
Men's association football midfielders
Association football people from Saitama Prefecture
Urawa Red Diamonds players
Kyoto Sanga FC players
J1 League players |
https://en.wikipedia.org/wiki/Daniela%20De%20Silva | Daniela De Silva is an Italian mathematician known for her expertise in partial differential equations. She is an associate professor of mathematics at Barnard College and Columbia University.
Education and career
De Silva did her undergraduate studies in mathematics at the University of Naples Federico II, and earned a bachelor's degree there in 1997.
She completed her doctorate at the Massachusetts Institute of Technology in 2005. Her dissertation, Existence and Regularity of Monotone Solutions to a Free Boundary Problem, was supervised by David Jerison.
After postdoctoral research at the Mathematical Sciences Research Institute and a term as J. J. Sylvester Assistant Professor at Johns Hopkins University, she joined the Barnard and Columbia faculty in 2007.
Recognition
De Silva won the 2016 Sadosky Prize of the Association for Women in Mathematics for "fundamental contributions to the regularity theory of nonlinear elliptic partial differential equations and non-local integro-differential equations". In 2018, Barnard honored her with their Tow Professorship for Distinguished Scholars and Practitioners.
References
Year of birth missing (living people)
Living people
Italian mathematicians
Women mathematicians
University of Naples Federico II alumni
Massachusetts Institute of Technology School of Science alumni
Barnard College faculty
Columbia University faculty |
https://en.wikipedia.org/wiki/C%C3%B3rregos | Córregos is a neighborhood in the municipality of Conceição do Mato Dentro, Brazil.
History
According to the Brazilian Institute of Geography and Statistics (IBGE), its population in 2010 was 432 inhabitants, 246 men and 186 women, with a total of 282 private households. It was created by Provincial Law No. 2,420, of 5 November 1877.
It is the oldest neighborhood of Conceição do Mato Dentro, that was born and developed around gold extraction. The nice chapel of "Senhor dos Passos" stands on the top of a hill.
Notable people
José Maria Pires, (1919–2017), archbishop.
References
External links
Official Website of Conceição do Mato Dentro
Neighbourhoods in Minas Gerais |
https://en.wikipedia.org/wiki/Rashad%20Smith%20%28footballer%29 | Rashad Smith (born 31 July 1996), is a Bajan professional footballer who plays for the Barbados national football team.
Career statistics
International
References
External links
Rashad Smith at Caribbean Football Database
1996 births
Living people
Men's association football defenders
Barbadian men's footballers
Barbados men's international footballers |
https://en.wikipedia.org/wiki/Andreas%20Seeger | Andreas Seeger is a mathematician who works in the field of harmonic analysis. He is a professor of mathematics at the University of Wisconsin–Madison. He received his PhD from Technische Universität Darmstadt in 1985 under the supervision of Walter Trebels.
He was elected a fellow of the American Mathematical Society in 2014 for his contributions to Fourier integral operators, local smoothing,
oscillatory integrals, and Fourier multipliers. In 2017, he was awarded the Humboldt Prize.
He was awarded a Simons Fellowship in 2019.
References
External links
Living people
Year of birth missing (living people)
Place of birth missing (living people)
Nationality missing
20th-century German mathematicians
21st-century German mathematicians
University of Wisconsin–Madison faculty
Technische Universität Darmstadt alumni
Fellows of the American Mathematical Society
Mathematical analysts |
https://en.wikipedia.org/wiki/Aluthge%20transform | In mathematics and more precisely in functional analysis, the Aluthge transformation is an operation defined on the set of bounded operators of a Hilbert space. It was introduced by Ariyadasa Aluthge to study p-hyponormal linear operators.
Definition
Let be a Hilbert space and let be the algebra of linear operators from to . By the polar decomposition theorem, there exists a unique partial isometry such that and , where is the square root of the operator . If and is its polar decomposition, the Aluthge transform of is the operator defined as:
More generally, for any real number , the -Aluthge transformation is defined as
Example
For vectors , let denote the operator defined as
An elementary calculation shows that if , then
Notes
References
External links
Bilinear forms
Matrices
Topology |
https://en.wikipedia.org/wiki/List%20of%20cities%20in%20Colombia%20by%20population | This article lists cities in Colombia by population, according to National Administrative Department of Statistics (commonly referred to as DANE in Spanish). All cities listed must have a population of at least 100,000 residents, because this is a list of cities not towns.
List
See also
List of cities and towns in Colombia, a list that includes all the small towns in alphabetical order (instead of order of size)
References
Colombia
Colombia
Colombia
Cities |
https://en.wikipedia.org/wiki/Virginia%20R.%20Young | Virginia Ruth Young is the Cecil J. and Ethel M. Nesbitt Professor of Actuarial Mathematics at the University of Michigan, and an expert on the mathematics of insurance.
Education and career
Young graduated from Cumberland College in 1981, and completed a PhD in mathematics, specializing in algebraic topology, at the University of Virginia in 1984. Her dissertation, Branched coverings arising from group actions, was supervised by Robert Evert Stong. After postdoctoral research at the Institute for Advanced Study, she returned to Cumberland as a faculty member from 1986 to 1990. However, after earning tenure at Cumberland, she left academia and began working as an actuary, becoming a Fellow of the Society of Actuaries in 1992. She rejoined academia as an assistant professor of business at the University of Wisconsin–Madison in 1993, and moved to Michigan as the inaugural Nesbitt Professor in 2003.
Contributions
Young won the 1997 Halmstad Prize and 1998 Edward A. Lew Award of the Society of Actuaries for her work with Frees, King, Rosenberg, and Lai on mathematical models for the long-term behavior of the US Social Security system. Other topics in her research have included comparisons of least squares versus entropy-based methods for actuarial prediction, and the applications of stochastic control to portfolio optimization problems involving insurance policies.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
American actuaries
University of the Cumberlands alumni
University of Wisconsin–Madison faculty
University of Michigan faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/1975%E2%80%9376%20Galatasaray%20S.K.%20season | The 1975–76 season was Galatasaray's 72nd in existence and the club's 18th consecutive season in the Turkish First Football League. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
1. Lig
Standings
Matches
Turkiye Kupasi
Round of 32
Round of 16
1/4 Final
1/2 Final
Final
UEFA Cup
Round of 64
Round of 32
Süper Kupa-Cumhurbaşkanlığı Kupası
Kick-off listed in local time (EET)
Friendly match
TSYD Kupası
Muzaffer Sipahi Testimonial match
Sabri Dino Testimonial match
Attendance
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
1979–1980 İstanbul Futbol Ligi. Türk Futbol Tarihi vol.1. page(121). (June 1992) Türkiye Futbol Federasyonu Yayınları.
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1975–76 season
1970s in Istanbul |
https://en.wikipedia.org/wiki/Paul%20Poatinda | Paul Poatinda (born 7 December 1978) is a New Caledonian retired international footballer who played as a forward. He represented New Caledonia at the 2003 South Pacific Games.
Career statistics
International
International goals
Scores and results list New Caledonia's goal tally first.
References
External links
1978 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football forwards
AS Magenta players |
https://en.wikipedia.org/wiki/Mircea%20Musta%C8%9B%C4%83 | Mircea Immanuel Mustață (; born 1971 in Romania) is a Romanian-American mathematician, specializing in algebraic geometry.
Mustață received from the University of Bucharest a bachelor's degree in 1995 and a master's degree in 1996 and from the University of California, Berkeley a PhD in 2001 with thesis advisor David Eisenbud and thesis Singularities and Jet Schemes. As a postdoc he was at the University of Nice Sophia Antipolis (Fall 2001), at the Isaac Newton Institute (Spring 2002), and at Harvard University (2002–2004); he was from 2001 to 2004 a Clay Research Fellow. At the University of Michigan in Ann Arbor he became in 2004 an associate professor and in 2008 a full professor.
In fall 2006, he was at the Institute for Advanced Study. From 2006 to 2011 he held a five-year Packard Fellowship.
Mustață was an invited speaker at the European Mathematical Congress in 2004 Stockholm and at the International Congress of Mathematicians in 2014 in Seoul.
His research deals with a wide range of topics in algebraic geometry, including:
Mustață's doctoral students include the Fields medalist June Huh.
Personal life
Mustață currently resides in Ann Arbor, Michigan, where he works at the University of Michigan. He lives with his wife, Olga, and daughter, Maya. His hobbies include hiking, reading, and playing board games.
Selected publications
References
External links
21st-century Romanian mathematicians
21st-century American mathematicians
Algebraic geometers
University of Bucharest alumni
University of Michigan faculty
1971 births
Living people
University of California, Berkeley alumni
Romanian emigrants to the United States |
https://en.wikipedia.org/wiki/Laisiasa%20Gataurua | Laisiasa Gataurua Vosailagi (born 25 November 1981), is a retired Fijian footballer who played as a midfielder. He represented Fiji at the 2003 South Pacific Games.
Career statistics
International
International goals
Scores and results list Fiji's goal tally first.
References
External links
1981 births
Living people
Fijian men's footballers
Suva F.C. players
Fiji men's international footballers
Men's association football midfielders
2004 OFC Nations Cup players |
https://en.wikipedia.org/wiki/Umberto%20Zannier | Umberto Zannier (born 25 May 1957, in Spilimbergo, Italy) is an Italian mathematician, specializing in number theory and Diophantine geometry.
Education
Zannier earned a Laurea degree from University of Pisa and studied at the Scuola Normale Superiore di Pisa with Ph.D. supervised by Enrico Bombieri.
Career
Zannier was from 1983 to 1987 a researcher at the University of Padua, from 1987 to 1991 an associate professor at the University of Salerno, and from 1991 to 2003 a full professor at the Università IUAV di Venezia. From 2003 to the present he has been a Professor in Geometry at the Scuola Normale Superiore di Pisa.
In 2010 he gave the Hermann Weyl Lectures at the Institute for Advanced Study. He was a visiting professor at several institutions, including the Institut Henri Poincaré in Paris, the ETH Zurich, and the Erwin Schrödinger Institute in Vienna.
With Jonathan Pila he developed a method (now known as the Pila-Zannier method) of applying O-minimality to number-theoretical and algebro-geometric problems. Thus they gave a new proof of the Manin–Mumford conjecture (which was first proved by Michel Raynaud and Ehud Hrushovski). Zannier and Pietro Corvaja in 2002 gave a new proof of Siegel's theorem on integral points by using a new method based upon the subspace theorem.
Awards & Service
Zannier was an Invited Speaker at the 4th European Mathematical Congress in Stockholm in 2004. Zannier was elected a corresponding member of the Istituto Veneto in 2004, a member of the Accademia dei Lincei in 2006, and a member of Academia Europaea in 2012. In 2014 he was an Invited Speaker of the International Congress of Mathematicians in Seoul.
In 2005 Zannier received the Mathematics Prize of the Accademia dei XL and in 2011 an Advanced Grant from the European Research Council (ERC). He is chief editor of the Annali di Scuola Normale Superiore and a co-editor of Acta Arithmetica.
Selected publications
On the distribution of self-numbers. Proc. Amer. Math. Soc. vol. 85, 1982, 10-14 (See self number.)
Some Applications of Diophantine Approximation to Diophantine Equations. Forum, Udine 2003. (69 pages)
Lecture Notes on Diophantine Analysis. Edizioni Della Normale (Lecture Notes Scuola Normal Superiore), Appendix Francesco Amoroso, 2009.
Some Problems of Unlikely Intersections in Arithmetic and Geometry. Annals of Math. Studies, Volume 181, Princeton University Press, 2012 (with appendix by David Masser).
With Enrico Bombieri and David Masser: Intersecting a Curve with Algebraic Subgroups of Multiplicative Groups. International Mathematics Research Notices, Vol. 20, 1999, 1119–1140.
A proof of Pisot's conjecture. Annals of Mathematics, Vol. 151, 2000, pp. 375–383.
with P. Corvaja: "A subspace theorem approach to integral points on curves", Compte Rendu Acad. Sci., 334, 2002, pp. 267–271
with P. Corvaja: Finiteness of Integral Values for the Ratio of Two Linear Recurrences. Inventiones Mathematicae, Vol. 149, 2002, pp. 431–451.
with |
https://en.wikipedia.org/wiki/Jose%20Apolinario%20Lozada | Jose Apolinario "Jun" L. Lozada Jr. (August 17, 1950 – July 31, 2018) was a Filipino diplomat and politician.
Biography
He was born in Quezon City. Lozada studied mathematics at De La Salle University. He earned two master's degrees, in physics and public administration, at Silliman University and the University of the Philippines, respectively. Lozada was Philippine ambassador to the Vatican, Austria, and Palau, before serving as adviser and secretary to Fidel Ramos between 1992 and 1998. Lozada was elected to the House of Representatives from Negros Occidental fifth district for the first time in 1998, and won reelection in 2001. He was allied with Lakas–CMD. Over the course of his legislative tenure, Lozada led the House committee of foreign affairs, authored the Dual Citizenship Act, and helped pass the Overseas Absentee Voting Law. Lozada also authored and filed a bill in March 1999 seeking the establishment of a Pasig River Development Office to better solve the pollution problem of the Pasig River. In 2010, Lozada launched an unsuccessful campaign for a Senate seat, representing Pwersa ng Masang Pilipino.
He was diagnosed with prostate cancer in 2014. After treatment, the cancer went into remission the next year. Lozada died of a brain hemorrhage on July 31, 2018, at the National Kidney and Transplant Institute in Quezon City.
References
1950 births
2018 deaths
De La Salle University alumni
Silliman University alumni
University of the Philippines alumni
Members of the House of Representatives of the Philippines from Negros Occidental
Pwersa ng Masang Pilipino politicians
Ambassadors of the Philippines to Austria
Ambassadors of the Philippines to the Holy See
Lakas–CMD (1991) politicians
Ambassadors of the Philippines to Palau
People from Quezon City |
https://en.wikipedia.org/wiki/Dimension%20of%20a%20scheme | In algebraic geometry, the dimension of a scheme is a generalization of a dimension of an algebraic variety. Scheme theory emphasizes the relative point of view and, accordingly, the relative dimension of a morphism of schemes is also important.
Definition
By definition, the dimension of a scheme X is the dimension of the underlying topological space: the supremum of the lengths ℓ of chains of irreducible closed subsets:
In particular, if is an affine scheme, then such chains correspond to chains of prime ideals (inclusion reversed) and so the dimension of X is precisely the Krull dimension of A.
If Y is an irreducible closed subset of a scheme X, then the codimension of Y in X is the supremum of the lengths ℓ of chains of irreducible closed subsets:
An irreducible subset of X is an irreducible component of X if and only if the codimension of it in X is zero. If is affine, then the codimension of Y in X is precisely the height of the prime ideal defining Y in X.
Examples
If a finite-dimensional vector space V over a field is viewed as a scheme over the field, then the dimension of the scheme V is the same as the vector-space dimension of V.
Let , k a field. Then it has dimension 2 (since it contains the hyperplane as an irreducible component). If x is a closed point of X, then is 2 if x lies in H and is 1 if it is in . Thus, for closed points x can vary.
Let be an algebraic pre-variety; i.e., an integral scheme of finite type over a field . Then the dimension of is the transcendence degree of the function field of over . Also, if is a nonempty open subset of , then .
Let R be a discrete valuation ring and the affine line over it. Let be the projection. consists of 2 points, corresponding to the maximal ideal and closed and the zero ideal and open. Then the fibers are closed and open, respectively. We note that has dimension one, while has dimension and is dense in . Thus, the dimension of the closure of an open subset can be strictly bigger than that of the open set.
Continuing the same example, let be the maximal ideal of R and a generator. We note that has height-two and height-one maximal ideals; namely, and the kernel of . The first ideal is maximal since the field of fractions of R. Also, has height one by Krull's principal ideal theorem and has height two since . Consequently,
while X is irreducible.
Equidimensional scheme
An equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension (implicitly assuming the dimensions are all well-defined).
Examples
All irreducible schemes are equidimensional.
In affine space, the union of a line and a point not on the line is not equidimensional. In general, if two closed subschemes of some scheme, neither containing the other, have unequal dimensions, then their union is not equidimensional.
If a scheme is smooth (for instance, étale) over Spec k for some field k, then every connected component ( |
https://en.wikipedia.org/wiki/Eivind%20Helgesen | Eivind Helgesen (born 10 October 2001) is a Norwegian footballer who plays as a midfielder for 1. divisjon side Sogndal.
Career statistics
Club
Notes
References
2001 births
Living people
Norwegian men's footballers
Norway men's youth international footballers
Men's association football midfielders
Sogndal Fotball players
Eliteserien players
People from Sogndal
Footballers from Vestland |
https://en.wikipedia.org/wiki/Rama%20Cont | Rama Cont is the Professor of Mathematical Finance at the
University of Oxford.
He is known for contributions to probability theory, stochastic analysis and mathematical modelling in finance, in particular mathematical models of systemic risk.
He was awarded the Louis Bachelier Prize by the French Academy of Sciences in 2010.
Biography
Born in Tehran (Iran), Cont obtained his undergraduate degree from Ecole Polytechnique (France), a master's degree in theoretical physics from Ecole Normale Superieure and a degree in Chinese Language from Institut national des langues et civilisations orientales. His doctoral thesis focused on the application of Lévy processes in financial modelling.
Career and achievements
Cont started his career as a CNRS researcher in applied mathematics at Ecole Polytechnique (France) in 1998 and held academic positions at Ecole Polytechnique, Columbia University and Imperial College London. He was appointed 'Directeur de Recherche CNRS' (CNRS Senior Research Scientist) in 2008 and was chair of mathematical finance at Imperial College London from 2012 to 2018. He was elected Statutory Professor in Mathematical Finance at the Oxford Mathematical Institute and professorial fellow of St Hugh's College, Oxford in 2018.
Cont's research focuses on probability theory, stochastic analysis and mathematical modelling in finance.
His mathematical work focuses on pathwise methods in stochastic analysis and the Functional Ito calculus.
In quantitative finance he is known in particular for his work on models based on jump processes, the stochastic modelling of limit order books as queueing systems
, machine learning methods in finance
and the mathematical modelling of systemic risk.
He was editor in chief of the Encyclopedia of Quantitative Finance.
Cont has served as advisor to central banks and international organizations such as the International Monetary Fund and the Bank for International Settlements on stress testing and systemic risk monitoring. His work on network models, financial stability and central clearing has influenced central banks and regulators
.
He has given numerous media interviews
on issues related to systemic risk and financial regulation.
Scientific contributions
Systemic risk modeling
Work by Cont and his collaborators on mathematical modeling of systemic risk and financial stability, in particular on network models of financial contagion and the modeling of indirect contagion via 'fire sales', has influenced academic research and policy in this area.
Central clearing
Cont's research on central clearing in over-the-counter (OTC) markets has influenced risk management practices of central counterparties and regulatory thinking on central clearing. Cont has argued that central clearing does not eliminate counterparty risk but transforms it into liquidity risk, therefore risk management and stress testing of central counterparties should focus on liquidity risk and liquidity resources, n |
https://en.wikipedia.org/wiki/Abouzar%20Safarzadeh | Abouzar Safarzadeh (, born April 13, 1996, in Shiraz, Iran) is an Iranian football midfielder who currently plays for Shahr Khodro in the Persian Gulf Pro League.
Club career
Club career statistics
References
1995 births
Living people
Iranian men's footballers
Men's association football midfielders
Fajr Sepasi Shiraz F.C. players
Zob Ahan Esfahan F.C. players
Shahin Bushehr F.C. players
Sanat Mes Kerman F.C. players
Footballers from Shiraz |
https://en.wikipedia.org/wiki/Graciela%20Boente | Graciela Lina Boente Boente is an Argentine mathematical statistician at the University of Buenos Aires. She is known for her research in robust statistics, and particularly for robust methods for principal component analysis and regression analysis.
Education
Boente earned her Ph.D. in 1983 from the University of Buenos Aires. Her dissertation, Robust Principal Components, was supervised by Victor J. Yohai.
Awards and honors
Boente became a Guggenheim Fellow in 2001. In 2008, the Argentine National Academy of Exact, Physical and Natural Sciences gave her their Consecration Prize in recognition of her contributions and teaching. She became an honored fellow of the Institute of Mathematical Statistics in 2013, "for her research in robust statistics and estimation, and for outstanding service to the statistical community".
References
Year of birth missing (living people)
Living people
Argentine mathematicians
Argentine statisticians
Argentine women mathematicians
Women statisticians
University of Buenos Aires alumni
Academic staff of the University of Buenos Aires
Fellows of the Institute of Mathematical Statistics |
https://en.wikipedia.org/wiki/Philippines%20Football%20League%20records%20and%20statistics | The Philippines Football League is the top tier league of Philippine football. The following page details the football records and statistics of the PFL.
League records
Titles
Most titles: 4, United City
Most consecutive title wins: 4, United City, (2017, 2018, 2019, 2020)
Biggest title-winning margin: 12 points, 2019; Ceres–Negros (68 points) over Kaya–Iloilo (56 points)
Smallest title-winning margin: 1 point, 2020; United City (12 points) over Kaya–Iloilo (11 points)
Points
Most points in a season: 68, Ceres–Negros (2019)
Most home points in a season: 40, Ceres–Negros (2017)
Most away points in a season: 34, Ceres–Negros (2019)
Most points without winning the league: 61, Meralco Manila (2017)
Fewest points in a season: 2, Stallion Laguna (2020)
Fewest home points in a season: 1, Stallion Laguna (2020)
Fewest away points in a season: 1, Stallion Laguna (2020)
Fewest points while winning the league: 12, United City (2020)
Wins
Most wins in total: 72, Ceres–Negros/United City
Most wins in a season: 22, Ceres–Negros (2019)
Most home wins in a season: 12, Ceres–Negros (2017)
Most away wins in a season: 11, Ceres–Negros (2019)
Fewest wins in a season: 0, Stallion Laguna (2020)
Fewest home wins in a season: 0
Ilocos United (2017)
Stallion Laguna (2020)
Fewest away wins in a season: 0, Stallion Laguna (2020)
Most consecutive wins: 16, Ceres–Negros (2019)
Most consecutive wins from the start of the season: 5
Ceres–Negros (2018)
Kaya–Iloilo (2019, 2022–23)
Meralco Manila (2017)
Most consecutive wins to the end of the season: 6, Ceres–Negros (2019)
Most consecutive games without a win: 21, Global Makati (2018 – 2019)
Most consecutive games without a win from the start of the season: 19, Ilocos United (2017)
Most consecutive games without a win to the end of the season: 20, Global Makati (2019)
Defeated all league opponents at least once in a season:
Ceres–Negros (2017, 2018, 2019)
Davao Aguilas (2018)
Kaya–Iloilo (2018, 2022–23)
Meralco Manila (2017)
Defeats
Most defeats in total: 48, Global
Most defeats in a season: 22, Global Cebu (2018)
Most home defeats in a season: 10, Global Cebu (2018)
Most away defeats in a season: 12
Global Cebu (2018)
Ilocos United (2017)
Fewest defeats in a season: 0, Ceres–Negros (2019)
Fewest home defeats in a season: 0, Ceres–Negros (2019)
Fewest away defeats in a season: 0, Ceres–Negros (2018, 2019)
Most consecutive games undefeated: 30, Ceres–Negros/United City (2018 – 2020)
Most consecutive games undefeated from the start of the season: 24, Ceres–Negros (2019)
Most consecutive games undefeated to the end of the season: 24, Ceres–Negros (2019)
Most consecutive defeats: 16, Global Cebu/Global Makati (2018 – 2019)
Most consecutive defeats from the start of the season: 9, Maharlika Manila (2022–23)
Most consecutive defeats to the end of the season: 13, Global Cebu (2018)
Draws
Most draws in total: 19, Stallion Laguna
Most draws in a season: 10, Davao Aguilas (2017)
Most home draws in a season: 6, Davao Aguilas |
https://en.wikipedia.org/wiki/Sally%20Dawson | Sally Dawson is an American physicist who deals with theoretical elementary particle physics.
Education and career
Dawson studied mathematics and physics at Duke University with a bachelor's degree in 1977 and at Harvard University with a master's degree in 1978 and a doctorate in 1981 with thesis advisor Howard Georgi and thesis Radiative Corrections to sin2θW. She was a postdoc at Fermilab (1983–1986) and Lawrence Berkeley National Laboratory (1981–1983). From 1986 she was at Brookhaven National Laboratory, where she became a senior scientist in 1994 and a group leader in 1998. From 2001 to the present, she is an adjunct professor at the C. N. Yang Institute for Theoretical Physics at Stony Brook University. In 2007–2008 she was on sabbatical leave at SLAC.
Her research deals with the physics of the Higgs boson and possible extensions of the Standard model related to the Higgs boson. She co-authored, with three collaborators, an influential handbook, first published in 1990.
In 2004 Dawson was the chair of the Division of Particles and Fields of the American Physical Society. She was also the chair in 2006 of the Lawrence Berkeley National Laboratory Physics Division Program Review and in 2010 of the Fermilab Program Advisory Board.
In 2017 she, together with three collaborators, received the Sakurai Prize for, according to the laudation, "instrumental contributions to the theory of the properties, reactions, and signatures of the Higgs boson".
Honors and awards
1995 — Town of Brookhaven, Woman of the Year in Science
1995 — elected a Fellow of the American Physical Society (APS)
1998 — APS Centennial Speaker
2006 — elected a Fellow of the American Association for the Advancement of Science
2015 — Humboldt Fellowship
2017 — Sakurai Prize of the APS
Selected publications
with John F. Gunion, Howard Haber, and Gordon L. Kane: The Higgs Hunter's Guide, Addison Wesley 1990, Westview Press 2000, CRC Press 2018
as editor with Rabindra Nath Mohapatra:
References
External links
Homepage
lectures at Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz, Summer 2016
Particle physicists
Theoretical physicists
1955 births
Living people
American women physicists
Fellows of the American Association for the Advancement of Science
Fellows of the American Physical Society
J. J. Sakurai Prize for Theoretical Particle Physics recipients
Duke University alumni
Harvard University alumni
Brookhaven National Laboratory staff
Stony Brook University faculty
20th-century American physicists
21st-century American physicists
21st-century American scientists
21st-century American women scientists
20th-century American women scientists
Scientists from Cleveland
American women academics |
https://en.wikipedia.org/wiki/Mathematics%20in%20Nazi%20Germany | Mathematics in Nazi Germany was governed by Nazi policies like the Civil Service Law of 1933, which led to the dismissal of many Jewish mathematics professors and lecturers at German universities. During this time many Jewish mathematicians left Germany and took positions at American universities. Jews had faced discrimination in academic institutions before 1933, yet before the Nazi rise to power, some Jewish mathematicians like Hermann Minkowski and Edmund Landau had achieved success and even been appointed to full professorships with the support of David Hilbert at the University of Göttingen.
University of Göttingen
Göttingen was, along with Berlin, one of Germany's two main centers for mathematical research. Prior to Nazi rule, the University of Göttingen already had an illustrious mathematics tradition that included distinguished mathematicians like Gauss, Riemann, David Hilbert, Dirichlet, Hermann Minkowski and Felix Klein.
Abraham Fraenkel has written that Hilbert was "the most significant mathematician in the world" during those years. Fraenkel writes that Hilbert "always remained free of all national and racist prejudices" and had been influenced by two Jewish mathematicians, Adolf Hurwitz and Minkowski. Though prejudice against appointing Jews to academic positions existed before the Nazi era, Hilbert had supported the successful appointments of two Jewish mathematicians to full professorships: Minkowski in 1902 and Edmund Landau in 1909. Like Hilbert himself, Minkowski had first been appointed by Felix Klein. When Klein retired, Hilbert appointed the German Jewish mathematician Richard Courant to replace him. (Courant moved to New York University in 1933 where the Courant Institute of Mathematical Sciences is named after him). Hilbert also supported Emmy Noether, a Jewish woman whose postdoctoral candidacy had been opposed, mostly on account of her gender, even by Jews.
In the 1920s, Hilbert became involved in a dispute with L.E.J. Brouwer, a Dutch mathematician whose support for intuitionism had not been widely accepted by Germany's mathematical establishment. Intuition (Anschauung) was contrasted with "modern abstract" mathematics like formalism. There was a rivalry in those years between Berlin and Göttingen, and Berlin sided with Brouwer against Hilbert in the dispute. The dispute took on an ideological dimension as Brouwer presented himself as a "champion of Aryan Germanness". When Brouwer objected to Ostjuden (German Jews of Eastern European descent) writing for the journal Mathematische Annalen, Hilbert removed Brouwer from his position as editor. The Nazis offered Brouwer a position at the University of Berlin in 1933, which he declined. Even so, the Dutch government suspended Brouwer in 1945 because of his connections to the Party; he was, however, eventually reinstated.
Though Jewish academics had experienced prejudice prior to 1933, Hilbert had been supportive of Jewish mathematicians and supported their advancement. Wh |
https://en.wikipedia.org/wiki/Jean%20Jacod | Jean Jacod (born 1944) is a French mathematician specializing in stochastic processes and probability theory. He has been a professor at the Université Pierre et Marie Curie.
He has made fundamental contributions to a wide range of topics in probability theory including stochastic calculus, limit theorems, martingale problems, Malliavin calculus
and statistics of stochastic processes.
Biography
Jean Jacod graduated from Ecole Polytechnique in 1965 and obtained his Doctorat d'État in Mathematics from the Université Paris-VI. His advisor was Jacques Neveu.
Selected bibliography
J. JACOD, P. PROTTER: Asymptotic error distributions for the Euler method for stochastic differential equations. Ann. Probab., 26, 267-307 (1998).
J. JACOD: Non-parametric kernel estimation of the diffusion for a diffusion process. Scand. J. Statist. 27, 83-96 (2000).
E. EBERLEIN, J. JACOD, S. RAIBLE: Levy term structure models: no–arbitrage and completeness. Finance and Stochastics, 9, 67–88 (2005)
J. JACOD: Asymptotic properties of power variations of L'evy processes. ESAIM-PS, 11, 173-196 (2007).
J. JACOD: Asymptotic properties of realized power variations and associated functionals 129-A of semimartingales. Stoch. Proc. Appl., 118, 517-559 (2008).
Y. AIT–SAHALIA, J. JACOD: Testing for jumps in a discretely observed process. Annals of Statistics, 37, 1, 184-222 (2009).
J. JACOD, Y. LI, P. MYKLAND, M. PODOLSKIJ, M. VETTER: Microstructure noise in the continuous case: the pre-averaging approach. Stoch. Proc. Appl., 119, 7, 2249-2276
(2009).
J. JACOD, Z. KOWALSKI, A. NIKEGHBALI: Mod-Gaussian convergence: new limit theorems in probability and number theory. Forum Math. 23, 835-873 (2011).
A. DIOP, J. JACOD, V. TODOROV: Central Limit Theorem for Approximate Quadratic Variations of Pure Jump Ito Semimartingales. Stoch. Proc. Appl. 123, 839-886 (2013).
See also
List of École Polytechnique alumni
References
External links
Jean Jacod's Home page
1948 births
Living people
20th-century French mathematicians
21st-century French mathematicians
Pierre and Marie Curie University alumni
École Polytechnique alumni
Probability theorists |
https://en.wikipedia.org/wiki/Lisa%20Morrissey%20LaVange | Lisa Morrissey LaVange is Professor and Chair of the Department of Biostatistics in the Gillings School of Global Public Health at the University of North Carolina at Chapel Hill where she directs the department’s Collaborative Studies Coordinating Center (CSCC), overseeing faculty, staff, and students involved in large-scale clinical trials and epidemiological studies coordinated by the center. She returned to her alma mater in 2018 after serving as the director of the Office of Biostatistics in the United States Food and Drug Administration (FDA) Center for Drug Evaluation and Research (CDER). Her career also includes 16 years in non-profit research and 10 years in the pharmaceutical industry. She served as the 2007 president of the Eastern North American Region (ENAR) of the International Biometric Society (IBS), and as the 2018 American Statistical Association (ASA) president.
Research
LaVange is recognized for her contributions to statistical methodology utilized in the drug discovery process through clinical trials. She is also recognized for her expertise on the statistical methodology of drug regulation.
Education
LaVange graduated from Harpeth Hall, a college preparatory school for girls in Nashville, TN, in 1971. She credits the mentoring she received from accomplished female teachers as critical in her decision to continue her education in mathematics and statistics. She entered the University of North Carolina as a member of the sixth class open to women and earned a Bachelor of Arts in mathematics in 1974. She earned a Master of Arts in Mathematics from the University of Massachusetts, Amherst in 1976. After earning her Master's degree she worked as a mathematician at before returning to the University of North Carolina to pursue a PhD in biostatistics. She received her degree in 1983.
Career
LaVange has worked in all sectors - academia, government, and industry. In January, 2018 she returned to her alma mater, the University of North Carolina (UNC) as professor and associate chair of the Department of Biostatistics. She is also director of the department's Collaborative Studies Coordinating Center (CSCC). This appointment is the second time, LaVange has been a member of the UNC faculty having served on the faculty from 2005 until 2011. Beginning in 2011 through 2017, she served as the director of the Office of Biostatistics in the Food and Drug Administration (FDA) Center for Drug Evaluation and Research (CDER). Her early career was spent at Research Triangle Institute (RTI). She began her career at RTI after completing her Master's degree. She left to begin doctoral work, returned while completing her dissertation and remained for a total span of 15 years. Her work in the private sector also included senior leadership positions in the pharmaceutical industry.
Honors
She is a 1973 inductee into Phi Beta Kappa and in 1998 was inducted into the Delta Omega Public Health Honor Society.
She is a fellow of the American Statist |
https://en.wikipedia.org/wiki/Exterior%20calculus%20identities | This article summarizes several identities in exterior calculus.
Notation
The following summarizes short definitions and notations that are used in this article.
Manifold
, are -dimensional smooth manifolds, where . That is, differentiable manifolds that can be differentiated enough times for the purposes on this page.
, denote one point on each of the manifolds.
The boundary of a manifold is a manifold , which has dimension . An orientation on induces an orientation on .
We usually denote a submanifold by .
Tangent and cotangent bundles
, denote the tangent bundle and cotangent bundle, respectively, of the smooth manifold .
, denote the tangent spaces of , at the points , , respectively. denotes the cotangent space of at the point .
Sections of the tangent bundles, also known as vector fields, are typically denoted as such that at a point we have . Sections of the cotangent bundle, also known as differential 1-forms (or covector fields), are typically denoted as such that at a point we have . An alternative notation for is .
Differential k-forms
Differential -forms, which we refer to simply as -forms here, are differential forms defined on . We denote the set of all -forms as . For we usually write , , .
-forms are just scalar functions on . denotes the constant -form equal to everywhere.
Omitted elements of a sequence
When we are given inputs and a -form we denote omission of the th entry by writing
Exterior product
The exterior product is also known as the wedge product. It is denoted by . The exterior product of a -form and an -form produce a -form . It can be written using the set of all permutations of such that as
Directional derivative
The directional derivative of a 0-form along a section is a 0-form denoted
Exterior derivative
The exterior derivative is defined for all . We generally omit the subscript when it is clear from the context.
For a -form we have as the -form that gives the directional derivative, i.e., for the section we have , the directional derivative of along .
For ,
Lie bracket
The Lie bracket of sections is defined as the unique section that satisfies
Tangent maps
If is a smooth map, then defines a tangent map from to . It is defined through curves on with derivative such that
Note that is a -form with values in .
Pull-back
If is a smooth map, then the pull-back of a -form is defined such that for any -dimensional submanifold
The pull-back can also be expressed as
Interior product
Also known as the interior derivative, the interior product given a section is a map that effectively substitutes the first input of a -form with . If and then
Metric tensor
Given a nondegenerate bilinear form on each that is continuous on , the manifold becomes a pseudo-Riemannian manifold. We denote the metric tensor , defined pointwise by . We call the signature of the metric. A Riemannian manifold has , whereas Minkowski space has .
Mu |
https://en.wikipedia.org/wiki/Crime%20in%20Liberia | Crime in Liberia is investigated by the Liberian police.
Crime by type
Murder
According to the country's official criminal justice statistics, Liberia had a murder rate of 3.23 per 100,000 population in 2012. Because of a lack of reliable, long-term official data, the WHO used a regression model to compute an estimated homicide rate for 2012 of 11.2 per 100,000, with a 95% confidence interval between 2.6 and 48.8.
Corruption
In Liberia's education system, patronage and bribery by administrators, professors, and students are widely reported. Abuse of resources, teacher absenteeism, and sex for grades are common. A culture of silence prevents reporting of problems and hence any constructive reform.
In 2013, Human Rights Watch released a report specifically about police corruption in Liberia. They interviewed more than 120 people who had said they had been victimized in their dealings with the police. They said that "police officers typically ask crime victims to pay to register their cases, for transport to the crime scene, and for pens and other items used in the investigation. Criminal suspects routinely pay bribes for release from police detention."
Street vendors said they were often the victim of police raids, especially in Monrovia. Vendors said that police routinely steal goods, arrest vendors, and then require them to pay for their release from detention. Motorcycle and taxi drivers throughout the country described harassment and extortion along roads. Those who refuse to meet officers’ demands face violence and arrest. Elite armed units, such as the Police Support Unit, were frequently cited for violent abuses.
Human trafficking
Liberia is a source, transit, and destination country for children trafficked for forced labor and sexual exploitation. Most victims are trafficked within Liberia, primarily from rural areas to urban areas for domestic servitude, forced street vending, and sexual exploitation. Children are also trafficked to alluvial diamond mining areas for forced labor.
References |
https://en.wikipedia.org/wiki/Carl%20Friedrich%20Geiser | Carl Friedrich Geiser (26 February 1843, Langenthal – 7 March 1934, Küsnacht) was a Swiss mathematician, specializing in algebraic geometry. He is known for the Geiser involution and Geiser's minimal surface.
Education and career
Geiser's father was a butcher and innkeeper. The famous Swiss mathematician Jakob Steiner was Carl F. Geiser's great-uncle. Geiser studied for four semesters from 1859 to 1861 at the Zürich Polytechnikum and then went to Berlin for four semesters from 1861 to 1863 to study under Karl Weierstrass and Leopold Kronecker. Since the support from his parents was not sufficient, he gave private lessons to students, some of whom were found for him by Weierstrass and Kronecker. He graduated in 1863 and returned to Switzerland as a Privatdozent at Zürich Polytechnikum. He pursued graduate studies at the University of Bern with doctorate (Promotion) in 1866 under Ludwig Schläfli with dissertation Beiträge zur synthetischen Geometrie. At the Zürich Polytechnikum, Geiser, together with Theodor Reye, temporarily fulfilled the duties of a professorial chair upon the death of Joseph Wolfgang von Deschwanden (1819–1866), until the professorial chair was given in 1867 to Wilhelm Fiedler. Geiger had already fulfilled the habilitation requirements in 1863; at the Zürich Polytechnikum, he was appointed from 1863 to 1869 a Privatdozent for pure and applied mathematics, from 1869 to 1873 a professor extraordinarius, and from 1873 to 1913 a professor ordinarius for higher mathematics and synthetic geometry. From 1881 to 1887 and from 1891 to 1895 Geiser was the director of the Zürich Polytechnikum.
Geiser taught algebraic geometry, differential geometry, and the theory of invariants. He published research on algebraic geometry and minimal surfaces.
In addition to his research results, Geiser's participation in the development of Switzerland's education system is remarkable. He was helped by his relationships (partly due to his family connection with Jakob Steiner) with eminent politicians and mathematicians. Geiser published previously unpublished lecture notes and treatises from Steiner's Nachlass. Geiser and Ferdinand Rudio were two of the main organizers of the International Congress of Mathematicians in 1897 in Zürich.
Geiser was elected in 1888 a foreign member of the German Academy of Sciences Leopoldina. He was elected an honorary member of the Swiss Mathematical Society at its session in 1911–1912.
Monographs
as editor: Die Theorie der Kegelschnitte in elementarer Darstellung. Auf Grund von Universitätsvorträgen und mit Benutzung hinterlassener Manuscripte Jacob Steiner’s, B. G. Teubner, Leipzig 1867 (first part Jacob Steiner’s Vorlesungen über synthetische Geometrie; Google Books, ditto, ditto)
Einleitung in die synthetische Geometrie. Ein Leitfaden beim Unterrichte an höheren Realschulen und Gymnasien, B. G. Teubner, Leipzig 1869 (Internet-Archiv; Jahrbuch-Bericht)
Articles
Ueber eine geometrische Verwandtschaft des zweiten |
https://en.wikipedia.org/wiki/Theorem%20of%20the%20highest%20weight | In representation theory, a branch of mathematics, the theorem of the highest weight classifies the irreducible representations of a complex semisimple Lie algebra . There is a closely related theorem classifying the irreducible representations of a connected compact Lie group . The theorem states that there is a bijection
from the set of "dominant integral elements" to the set of equivalence classes of irreducible representations of or . The difference between the two results is in the precise notion of "integral" in the definition of a dominant integral element. If is simply connected, this distinction disappears.
The theorem was originally proved by Élie Cartan in his 1913 paper. The version of the theorem for a compact Lie group is due to Hermann Weyl. The theorem is one of the key pieces of representation theory of semisimple Lie algebras.
Statement
Lie algebra case
Let be a finite-dimensional semisimple complex Lie algebra with Cartan subalgebra . Let be the associated root system. We then say that an element is integral if
is an integer for each root . Next, we choose a set of positive roots and we say that an element is dominant if for all . An element dominant integral if it is both dominant and integral. Finally, if and are in , we say that is higher than if is expressible as a linear combination of positive roots with non-negative real coefficients.
A weight of a representation of is then called a highest weight if is higher than every other weight of .
The theorem of the highest weight then states:
If is a finite-dimensional irreducible representation of , then has a unique highest weight, and this highest weight is dominant integral.
If two finite-dimensional irreducible representations have the same highest weight, they are isomorphic.
For each dominant integral element , there exists a finite-dimensional irreducible representation with highest weight .
The most difficult part is the last one; the construction of a finite-dimensional irreducible representation with a prescribed highest weight.
The compact group case
Let be a connected compact Lie group with Lie algebra and let be the complexification of . Let be a maximal torus in with Lie algebra . Then is a Cartan subalgebra of , and we may form the associated root system . The theory then proceeds in much the same way as in the Lie algebra case, with one crucial difference: the notion of integrality is different. Specifically, we say that an element is analytically integral if
is an integer whenever
where is the identity element of . Every analytically integral element is integral in the Lie algebra sense, but there may be integral elements in the Lie algebra sense that are not analytically integral. This distinction reflects the fact that if is not simply connected, there may be representations of that do not come from representations of . On the other hand, if is simply connected, the notions of "integral" and "analytically inte |
https://en.wikipedia.org/wiki/Stockholm%20%28national%20area%29 | Stockholm is a national area () of Sweden. The national areas are a part of the Nomenclature of Territorial Units for Statistics (NUTS) of Sweden.
Geography
The area corresponds to that of Stockholm County. It borders the of East Middle Sweden.
See also
External links
Hierarchical list of the Nomenclature of territorial units for statistics - NUTS and the Statistical regions of Europe
Overview map of EU Countries - NUTS level 1
SVERIGE - NUTS level 2
SVERIGE - NUTS level 3
Correspondence between the NUTS levels and the national administrative units
List of current NUTS codes
Download current NUTS codes (ODS format)
Counties of Sweden, Statoids.com
References
National Areas of Sweden
NUTS 2 statistical regions of the European Union |
https://en.wikipedia.org/wiki/Louis%20Saalsch%C3%BCtz | Louis Saalschütz (1 December 1835 — 25 May 1913) was a Prussian-Jewish mathematician, known for his contributions to number theory and mathematical analysis.
Biography
Louis Saalschütz was born to a Jewish family in Königsberg, Prussia, the son of archaeologist Joseph Levin Saalschütz. From 1854 to 1860 he studied mathematics and physics at the University of Königsberg. In 1861 he received his doctorate under the supervision of Franz Ernst Neumann, with the dissertation Ueber die Wärmeveränderungen in den Höheren Erdschichten Unter dem Einfluss des Nicht-periodischen Temperaturwechsels an der Oberfläche.
From 1861 to 1882 he was teacher of mathematics, mechanics, and engineering at the Royal School of Mechanics in Königsberg and the University of Königsberg, where he became an associate professor in 1875 and full professor in 1888.
References
1835 births
1913 deaths
19th-century Prussian people
19th-century German mathematicians
20th-century German mathematicians
German people of Jewish descent |
https://en.wikipedia.org/wiki/Sonia%20Natale | Sonia Luján Natale (born 1972) is an Argentine mathematician specializing in abstract algebra. She works as a professor of mathematics at the National University of Córdoba, where she earned her Ph.D. in 1999,
and as a researcher for the National Scientific and Technical Research Council.
Natale's dissertation, Semisimple Hopf Algebras, was supervised by Nicolás Andruskiewitsch.
She is also the author of the monograph Semisolvability of Semisimple Hopf Algebras of Low Dimension (Memoirs of the American Mathematical Society 874, 2007).
In 2011 the Argentine Academia Nacional de Ciencias Exactas, Físicas y Naturales gave Natale their Pedro E. Zadunaisky Prize in Mathematics.
In 2017 the Argentine government gave her their Houssay Prize in recognition of her research.
She was an invited speaker on fusion algebras at the 2018 International Congress of Mathematicians.
References
External links
Home page
1972 births
Living people
Argentine mathematicians
Argentine women mathematicians
National University of Córdoba alumni |
https://en.wikipedia.org/wiki/Mapping%20theorem%20%28point%20process%29 | The mapping theorem is a theorem in the theory of point processes, a sub-discipline of probability theory. It describes how a Poisson point process is altered under measurable transformations. This allows construction of more complex Poisson point processes out of homogeneous Poisson point processes and can, for example, be used to simulate these more complex Poisson point processes in a similar manner to inverse transform sampling.
Statement
Let be locally compact and polish and let
be a measurable function. Let be a Radon measure on and assume that the pushforward measure
of under the function is a Radon measure on .
Then the following holds: If is a Poisson point process on with intensity measure , then is a Poisson point process on with intensity measure .
References
Poisson point processes |
https://en.wikipedia.org/wiki/Henry%20Dye | Henry Abel Dye Jr. (1926–1986) was an American mathematician, specializing in operator algebras and ergodic theory.
Education and career
Dye received from Rensselaer Polytechnic Institute a bachelor's degree and in 1950 a Ph.D. from the University of Chicago. As a postdoc he was from 1950 to 1952 at California Institute of Technology (Caltech) and from 1952 to 1953 at the Institute for Advanced Study. He was from 1953 to 1956 an assistant professor at the University of Iowa, from 1956 to 1959 an associate professor at the University of Southern California (USC), and from 1959 to 1960 a full professor at the University of Iowa. From 1960 until his death in 1986 he was a full professor at the University of California, Los Angeles (UCLA).
Selected publications
with Bernard Russo:
References
1926 births
1986 deaths
20th-century American mathematicians
Operator theorists
Rensselaer Polytechnic Institute alumni
University of Chicago alumni
University of California, Los Angeles faculty
People from Dunkirk, New York
Mathematicians from New York (state) |
https://en.wikipedia.org/wiki/Rafael%20Silva%20%28footballer%2C%20born%201995%29 | Rafael Aparecido da Silva (born 26 May 1995), simply known as Rafael Silva, is a Brazilian footballer who plays for ABC, on loan from Vila Nova as a forward.
Career statistics
References
External links
1995 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Luverdense Esporte Clube players
Vila Nova Futebol Clube players
Esporte Clube São Bento players
Mirassol Futebol Clube players
Esporte Clube Juventude players
Paraná Clube players
Clube Náutico Marcílio Dias players
ABC Futebol Clube players
Footballers from Goiânia |
https://en.wikipedia.org/wiki/List%20of%20Philadelphia%20Union%20records%20and%20statistics | Philadelphia Union is an American professional soccer team based in Chester, Pennsylvania, that competes in Major League Soccer (MLS).
This is a list of franchise records for Philadelphia, which dates from their inaugural season in 2010 to present.
Honors
Supporters' Shield
Winners: 2020
U.S. Open Cup
Runners-up (3): 2014, 2015, 2018
Player records
Appearances
As of October 22, 2022 (All competitive matches):
Bold signifies current Union player
Goalscorers
As of October 22, 2022 (All competitive matches):
Bold signifies current Union player
Shutouts
As of October 22, 2022 (All competitive matches):
Bold signifies current Union player
Year-by-year
Coaching records
Transfer records
Highest transfer fees paid
Highest transfer fees received
Designated Players
Cristian Maidana
Kléberson
Bořek Dočkal
Marco Fabián
Freddy Adu
Alejandro Bedoya
Maurice Edu
Fernando Aristeguieta
Jamiro Monteiro
Julián Carranza
Mikael Uhre
Bold signifies current Union player
Homegrown Players
Cristhian Hernández
Anthony Fontana
Derrick Jones
Mark McKenzie
Jimmy McLaughlin
Zach Pfeffer
Matthew Real
Auston Trusty
Brenden Aaronson
Jack de Vries
Matt Freese
Cole Turner
Nathan Harriel
Jack McGlynn
Paxten Aaronson
Brandan Craig
Quinn Sullivan
Anton Sorenson
Jeremy Rafanello
Bold signifies current Union player
Notes
References
Philadelphia Union
Philadelphia Union
Philadelphia Union records and statistics |
https://en.wikipedia.org/wiki/Takuya%20Shigehiro | is a Japanese professional footballer who plays as a midfielder for Nagoya Grampus.
Career statistics
Last update: 9 July 2022.
References
External links
1995 births
Living people
Japanese men's footballers
Men's association football midfielders
Kyoto Sanga FC players
Avispa Fukuoka players
Nagoya Grampus players
J1 League players
J2 League players |
https://en.wikipedia.org/wiki/Huixia%20Judy%20Wang | Huixia Judy Wang is a statistician who works as a professor of statistics at George Washington University. Topics in her research include quantile regression and the application of biostatistics to cancer.
Education and career
Wang graduated from Fudan University in 1999 and earned a master's degree from Fudan in 2002. She completed her Ph.D. in statistics in 2006 from the University of Illinois at Urbana–Champaign. Her dissertation, Inference on Quantile Regression for Mixed Models with Applications to GeneChip Data, was supervised by Xuming He. She joined the statistics faculty at North Carolina State University in 2006 and moved to George Washington University in 2014. From 2018, she has been serving as program director for the Statistics Program at the National Science Foundation.
Recognition
In 2012, the Institute of Mathematical Statistics gave Wang their Tweedie New Researcher Award. In 2018, Wang was elected as a Fellow of the American Statistical Association and of the Institute of Mathematical Statistics (IMS), "for fundamental and influential contributions to the theory and methodology of quantile regression, high dimensional inference and extreme value theory; for outstanding services to the community". She has been awarded an IMS Medallion Lectureship in 2022.
References
External links
Year of birth missing (living people)
Living people
American statisticians
Chinese statisticians
Women statisticians
Fudan University alumni
University of Illinois Urbana-Champaign alumni
North Carolina State University faculty
George Washington University faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics |
https://en.wikipedia.org/wiki/Layered%20permutation | In the mathematics of permutations, a layered permutation is a permutation that reverses contiguous blocks of elements. Equivalently, it is the direct sum of decreasing permutations.
One of the earlier works establishing the significance of layered permutations was , which established the Stanley–Wilf conjecture for classes of permutations forbidding a layered permutation, before the conjecture was proven more generally.
Example
For instance, the layered permutations of length four, with the reversed blocks separated by spaces, are the eight permutations
1 2 3 4
1 2 43
1 32 4
1 432
21 3 4
21 43
321 4
4321
Characterization by forbidden patterns
The layered permutations can also be equivalently described as the permutations that do not contain the permutation patterns 231 or 312. That is, no three elements in the permutation (regardless of whether they are consecutive) have the same ordering as either of these forbidden triples.
Enumeration
A layered permutation on the numbers from to can be uniquely described by the subset of the numbers from to that are the first element in a reversed block. (The number is always the first element in its reversed block, so it is redundant for this description.) Because there are subsets of the numbers from to , there are also layered permutation of length .
The layered permutations are Wilf equivalent to other permutation classes, meaning that the numbers of permutations of each length are the same. For instance, the Gilbreath permutations are counted by the same function .
Superpatterns
The shortest superpattern of the layered permutations of length is itself a layered permutation. Its length is a sorting number, the number of comparisons needed for binary insertion sort to sort elements. For these numbers are
1, 3, 5, 8, 11, 14, 17, 21, 25, 29, 33, 37, ...
and in general they are given by the formula
Related permutation classes
Every layered permutation is an involution. They are exactly the 231-avoiding involutions, and they are also exactly the 312-avoiding involutions.
The layered permutations are a subset of the stack-sortable permutations, which forbid the pattern 231 but not the pattern 312.
Like the stack-sortable permutations, they are also a subset of the separable permutations, the permutations formed by recursive combinations of direct and skew sums.
References
Permutation patterns |
https://en.wikipedia.org/wiki/Michel%20Andr%C3%A9%20%28mathematician%29 | Michel André (26 March 1936 – 9 July 2009) was a Swiss mathematician, specializing in non-commutative algebra and its applications to topology. He is known for André–Quillen cohomology.
Biography
André received in 1958 his Diplom from ETH Zurich and in 1962 his doctorate from the University of Paris with thesis advisor Claude Chevalley and thesis Cohomology of the algèbres différentielles où opère and algèbre de Lie. André became a full professor in 1971 at the École Polytechnique Fédérale de Lausanne.
In 1967, he was one of the founders of the theory of non-abelian derived functors; the theory was developed simultaneously by Daniel Quillen and Jonathan Mock Beck — the three mathematicians worked independently. In 1970 André was an invited speaker with talk Homologie des algèbres commutatives at the International Congress of Mathematicians in Nice.
He died in an accident while hiking.
Selected publications
References
External links
Elites Suisses
20th-century Swiss mathematicians
ETH Zurich alumni
University of Paris alumni
Academic staff of the École Polytechnique Fédérale de Lausanne
1936 births
2009 deaths
21st-century Swiss mathematicians
Swiss expatriates in France |
https://en.wikipedia.org/wiki/Jun%20Zhu | Jun Zhu is a statistician and entomologist who works as a professor in the Departments of Statistics and Entomology at the University of Wisconsin–Madison. Her research interests involve the analysis of spatial data and spatio-temporal data, and the applications of this analysis in environmental statistics.
After earning a bachelor's degree from Knox College (Illinois) in mathematics and computer science in 1994, Zhu moved to Johns Hopkins University, where she earned a master's degree in mathematical sciences in 1995. She completed her Ph.D. in statistics at Iowa State University in 2000. Her dissertation, Asymptotic Inference for Spatial Cumulative Distribution Function, was jointly supervised by Soumendra Nath Lahiri and Noel Cressie.
Zhu serves on the Human Studies Review Board of the United States Environmental Protection Agency. In 2012 she chaired the American Statistical Association's Section on Statistics and the Environment.
In 2015 she was elected as a Fellow of the American Statistical Association, and the Section on Statistics and the Environment gave her their Distinguished Achievement Medal.
References
Year of birth missing (living people)
Living people
American statisticians
American entomologists
Women statisticians
Knox College (Illinois) alumni
Johns Hopkins University alumni
Iowa State University alumni
University of Wisconsin–Madison faculty |
https://en.wikipedia.org/wiki/Oscillation%20theory%20%28disambiguation%29 | In mathematics, oscillation theory specifies that a solution to an ordinary differential equation is oscillating if it has an infinite number of roots.
Oscillation theory may also refer to:
Oscillation theory, proposed in 1930 by Erich Haarmann, that the Earth’s crust changes because of drag forces
Oscillation theory, land-level rise and subsidence during deglaciation, proposed by N. O. Holst (1899), Ernst Antevs (1921) and Astrid Cleve (1923)
Oscillation theory, changes in obliquity of the ecliptic, by Al-Zarqali in the eleventh century in what is now Spain
See also
Neutrino oscillation, a quantum mechanical phenomenon |
https://en.wikipedia.org/wiki/Nelli%20Neumann | Nelli Neumann (3 January 1886 – July 1942) was a German mathematician who worked in synthetic geometry. She was one of the first women to obtain a doctorate in mathematics at a German university.
Biography
Nelli Neumann was born in Breslau, Prussia, the only child of Jewish parents Max and Sophie Neumann. Her father was a judicial officer, while her mother died when Nelli was two years old. After ten years in the private Höhere Töchterschule in Breslau, Neumann attended grammar courses and graduated from the König-Wilhelm-Gymnasium boys' school in 1905. Her father promoted her mathematical talent by arranging private mathematics lessons given by Richard Courant. The two went on to study together at the Universities of Breslau and Zürich. Neumann would return to Breslau for her doctorate, for which she completed her thesis in 1909 under the supervision of Rudolf Sturm. After Courant received his post-doctoral degree at Göttingen University, they married in the summer of 1912.
Turning down a post-doctoral position at the University of Breslau, Neumann then took courses that qualified her to become a secondary school teacher. She also worked in the career counselling centre for female students at Göttingen, which had been set up by the Frauenbildung-Frauenstudium association.
Nelli's marriage became increasingly difficult, and she and Courant divorced on 16 February 1916. After the First World War she moved to Essen, where she taught mathematics, physics and chemistry at the . Soon after the Nazis took power, on 27 September 1933, she lost her position under the Law for the Restoration of the Professional Civil Service. She was deported to the Minsk Ghetto on 10 November 1941, and was executed there the following year.
References
1886 births
1942 deaths
20th-century German mathematicians
Geometers
German Jews who died in the Holocaust
Jewish scientists
Jewish women scientists
German women mathematicians
Minsk Ghetto inmates
Scientists from Wrocław
20th-century German women
University of Breslau alumni |
https://en.wikipedia.org/wiki/Distribution%20function%20%28measure%20theory%29 | In mathematics, a distribution function is a real function in measure theory. From every measure on the algebra of Borel sets of real numbers, a distribution function can be constructed, which reflects some of the properties of this measure. Distribution functions (in the sense of measure theory) are a generalization of distribution functions (in the sense of probability theory).
Definition
Let be a measure on the real numbers, equipped with the Borel -algebra. Then the function
defined by
is called the (right continuous) distribution function of the measure .
Example
As the measure, choose the Lebesgue measure . Then by Definition of
Therefore, the distribution function of the Lebesgue measure is
for all
Comments
The definition of the distribution function (in the sense of measure theory) differs slightly from the definition of the distribution function (in the sense of probability theory). The latter has the boundary conditions
This makes this distribution function well defined for all probability measures.
However, in the case of an unbounded measure , defining the distribution function as in probability theory by
can be without meaning. This is since many measures take on the value on all intervals , making their distribution function a constant function with value infinity. This is for example the case for the Lebesgue measure. To avoid this pathological case, the distribution function is defined to be zero at the origin. This makes sure that even for unbounded measures, the distribution function is well defined and finite close to the origin.
References
Measure theory |
https://en.wikipedia.org/wiki/Yves%20Andr%C3%A9 | Yves André (born December 11, 1959) is a French mathematician, specializing in arithmetic geometry.
Biography
André received his doctorate in 1984 from Pierre and Marie Curie University (Paris VI) with thesis advisor Daniel Bertrand and thesis Structure de Hodge, équations différentielles p-adiques, et indépendance algébrique de périodes d'intégrales abéliennes. He became at CNRS in 1985 a Researcher, in 2000 a Research Director 2nd Class, and in 2009 a Research Director 1st Class (at École Normale Supérieure and Institut de mathématiques de Jussieu – Paris Rive Gauche).
Research
In 1989, he formulated the one-dimensional-subvariety case of what is now known as the André-Oort conjecture on special subvarieties of Shimura varieties. Only partial results have been proven so far; by André himself and by Jonathan Pila in 2009. In 2016, André used Scholze's method of perfectoid spaces to prove Melvin Hochster's direct summand conjecture that any finite extension of a regular commutative ring splits as a module.
Awards
In 2011, André received the Prix Paul Doistau–Émile Blutet of the Académie des Sciences. In 2015, he was elected as a Member of the Academia Europaea. He was an invited speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro and gave a talk titled Perfectoid spaces and the homological conjectures.
Selected publications
Period mappings and differential equations. From C to Cp: Tohoku-Hokkaido Lectures in Arithmetic Geometry, Tokyo, Memoirs Mathematical Society of Japan 2003 (with appendix by F. Kato, N. Tsuzuki)
References
External links
20th-century French mathematicians
21st-century French mathematicians
Arithmetic geometers
Members of Academia Europaea
Pierre and Marie Curie University alumni
Academic staff of the École Normale Supérieure
1959 births
Living people
Prix Paul Doistau–Émile Blutet laureates |
https://en.wikipedia.org/wiki/Sorting%20number | In mathematics and computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These numbers give the worst-case number of comparisons used by both binary insertion sort and merge sort. However, there are other algorithms that use fewer comparisons.
Formula and examples
The th sorting number is given by the formula
where
The sequence of numbers given by this formula (starting with ) is
0, 1, 3, 5, 8, 11, 14, 17, 21, 25, 29, 33, 37, 41, ... .
The same sequence of numbers can also be obtained from the recurrence relation,
or closed form
It is an example of a 2-regular sequence.
Asymptotically, the value of the th sorting number fluctuates between approximately and depending on the ratio between and the nearest power of two.
Application to sorting
In 1950, Hugo Steinhaus observed that these numbers count the number of comparisons used by binary insertion sort, and conjectured (incorrectly) that they give the minimum number of comparisons needed to sort items using any comparison sort. The conjecture was disproved in 1959 by L. R. Ford Jr. and Selmer M. Johnson, who found a different sorting algorithm, the Ford–Johnson merge-insert sort, using fewer comparisons.
The same sequence of sorting numbers also gives the worst-case number of comparisons used by merge sort to sort items.
Other applications
The sorting numbers (shifted by one position) also give the sizes of the shortest possible superpatterns for the layered permutations.
References
Integer sequences
Comparison sorts |
https://en.wikipedia.org/wiki/Louis%20Kollros | Louis Kollros (7 May 1878, La Chaux-de-Fonds – 19 June 1959, Zurich) was a Swiss mathematician. From 1909 to 1948 he was a professor ordinarius of geometry at ETH Zurich.
Kollros, the son of a baker, was from 1896 as a student of mathematics and physics at the Zurich Polytechnikum, where he was a fellow student of Albert Einstein and Marcel Grossmann. After graduating in 1900, Kollros taught mathematics from 1900 to 1909 in secondary school in his hometown of La Chaux-de-Fonds. In 1903–1904 to 1909 he studied in Göttingen with Hermann Minkowski and David Hilbert. From 1904 to 1909 Kollross was a privat-docent (lecturer) at the University of Neuchâtel. He received his doctorate in 1905 from the University of Zurich with thesis advisor Hermann Minkowski and thesis Un algorithme pour l'approximation simultaneé de deux grandeurs. At ETH Zurich, where Marcel Grossmann taught until 1927 in the same field, Kollross held from 1909 to 1948 the francophone chair of géométrie descriptive et de géométrie euclidienne.
In 1940–1941 he was president of the Swiss Mathematical Society and from 1958 an honorary member of the Society. He was president of the Steiner-Schläfli committee (tasked with the publication of their works). In this role, he was co-editor of Schläfli's collected works (3 vols.,1950–1956).
He wrote biographies of Évariste Galois (1949, 24 p.) and Jakob Steiner (1947, 24 p.), which appeared in the supplements to the Elemente der Mathematik (Birkhäuser Verlag).
His doctoral students include Ferdinand Gonseth.
Selected publications
Un algorithme pour l'approximation simultaneé de deux grandeurs, Imprimerie Soullier, Geneva 1905
Géométrie descriptive, Orell Füssli, Zurich 1918
Cours de géométrie projective, Griffon, Neuchâtel 1946, 108 p.
References
External links
Louis Kollross, Nachlass at ETH Zürich
20th-century Swiss mathematicians
Historians of mathematics
ETH Zurich alumni
University of Zurich alumni
Academic staff of ETH Zurich
1878 births
1959 deaths
People from La Chaux-de-Fonds |
https://en.wikipedia.org/wiki/Supergolden%20ratio | In mathematics, two quantities are in the supergolden ratio if their quotient equals the unique real solution to the equation This solution is commonly denoted The name supergolden ratio results of a analogy with the golden ratio , which is the positive root of the equation
Using formulas for the cubic equation, one can show that
or, using the hyperbolic cosine,
The decimal expansion of this number begins as 1.465571231876768026656731... ().
Properties
Many properties of the supergolden ratio are closely related to golden ratio . For example, while we have for the golden ratio, the inverse square of the supergolden ratio obeys . Additionally, the supergolden ratio can be expressed in terms of itself as the infinite geometric series
in comparison to the golden ratio identity
The supergolden ratio is also the fourth smallest Pisot number, which means that its algebraic conjugates are both smaller than 1 in absolute value.
Supergolden sequence
The supergolden sequence, also known as the Narayana's cows sequence, is a sequence where the ratio between consecutive terms approaches the supergolden ratio. The first three terms are each one, and each term after that is calculated by adding the previous term and the term two places before that; that is, , with . The first values are 1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595… ().
Supergolden rectangle
A supergolden rectangle is a rectangle whose side lengths are in a ratio. When a square with the same side length as the shorter side of the rectangle is removed from one side of the rectangle, the sides of the resulting rectangle will be in a ratio. This rectangle can be divided into two more supergolden rectangles with opposite orientations and areas in a ratio. The larger rectangle has a diagonal of length times the short side of the original rectangle, and which is perpendicular to the diagonal of the original rectangle.
In addition, if the line segment that separates the two supergolden rectangles is extended across the square, then each diagonally opposite pair of rectangles has a combined area which is half that of the original rectangle. The larger of the new rectangles is also a supergolden rectangle, with a diagonal of length times the length of the short side of the original rectangle; while the smaller one has sides in a ratio.
See also
Solutions to equations similar to :
Golden ratio – the only positive solution to the equation
Plastic number – the only real solution to the equation
References
Golden ratio
History of geometry
Cubic irrational numbers
Mathematical constants |
https://en.wikipedia.org/wiki/Mart%C3%ADn%20Rea | Martín Rea Zuccotti (born 13 November 1997) is a Uruguayan footballer who plays as a centre-back for Querétaro.
Career statistics
Club
Notes
References
1997 births
Living people
Uruguayan men's footballers
Uruguayan expatriate men's footballers
Men's association football defenders
Uruguayan Primera División players
Ascenso MX players
Danubio F.C. players
Clube Atlético Mineiro players
Atlante F.C. footballers
Querétaro F.C. footballers
Expatriate men's footballers in Brazil
Uruguayan expatriate sportspeople in Brazil
Expatriate men's footballers in Mexico
Uruguayan expatriate sportspeople in Mexico
Footballers from Montevideo |
https://en.wikipedia.org/wiki/Band%20model | In geometry, the band model is a conformal model of the hyperbolic plane. The band model employs a portion of the Euclidean plane between two parallel lines. Distance is preserved along one line through the middle of the band. Assuming the band is given by , the metric is given by .
Geodesics include the line along the middle of the band, and any open line segment perpendicular to boundaries of the band connecting the sides of the band. All geodesics have ends which either are orthogonal to the boundaries of the band or which approach . Lines parallel to the boundaries of the band within the band are hypercycles whose centers are the line through the middle of the band.
See also
Mercator projection
References
External links
Models of hyperbolic geometry
Conformal Models of the Hyperbolic Geometry
Conformal geometry
Hyperbolic geometry |
https://en.wikipedia.org/wiki/Urs%20Stammbach | Urs Stammbach (born 26 October 1939) is a Swiss mathematician, specializing in homological algebra.
Stammbach studied at ETH Zurich, where he obtained his Diplom in 1964 and received his doctorate in 1966 under the supervision of Beno Eckmann (and Heinz Hopf) with dissertation Anwendungen der Homologietheorie der Gruppen auf Zentralreihen und auf Invarianten von Präsentierungen (Applications of homology theory of groups to central series and to invariants of presentations). As a postdoc Stammbach was from 1966 to 1967 at ETH Zurich and from 1967 to 1969 at Cornell University. At ETH Zurich, he was from 1969 to 1972 an assistant professor, from 1972 to 1979 an associate professor, and from 1979 to 2005 a full professor, retiring as professor emeritus in 2005.
Stammbach's research deals with homological algebra, specifically with its applications to group theory ( homology and cohomology of groups). He also does research on the history of mathematics, especially pertaining to Switzerland.
In 1990–1991 he was president of the Swiss Mathematical Society.
Selected publications
Homology in group theory, Springer 1971
with Peter Hilton: On the differentials in the Lyndon-Hochschild-Serre spectral sequence, Bull. Amer. Math. Soc., Vol. 79, 1973, pp. 796–799 (See Lyndon–Hochschild–Serre spectral sequence.)
Homologie dans les variétés des groupes. Groupes à dualité homologique, Université Laval, Quebec, Collect. Math., No. 19, 1976
Geschichte der Mathematik an der ETH Zürich 1855–1932, Jahrbuch Überblicke Mathematik, Vieweg 1994, pp. 194–216
with Günther Frei: Die Mathematiker an den Zürcher Hochschulen, Birkhäuser 1994
with Günther Frei: Hermann Weyl und die Mathematik an der ETH Zürich 1913–1930, Birkhäuser 1992
with Günther Frei: Heinz Hopf, in Ioan James: History of Topology, Elsevier 1999
with Peter Hilton: A course in homological algebra, 1st edition 1971, 2nd edition, Springer 1997,
Lineare Algebra, Teubner Verlag 1980, 4th edition 1994
References
20th-century Swiss mathematicians
ETH Zurich alumni
Academic staff of ETH Zurich
Swiss historians of mathematics
1939 births
Living people
Group theorists |
https://en.wikipedia.org/wiki/Giuseppe%20Balzaretto | Giuseppe Balzaretto or Balzaretti (19 January 1801 - 30 April 1874) was an Italian landscape architect and architect.
Career
Balzaretto studied mathematics at the University of Pavia, but became interested in villa architectures and gardens. Among his initial projects were the gardens at the Villa Borromeo d'Adda in Arcore. As an architect, he helped refurbish the palace now housing the Poldi Pezzoli in Milan.
In 1858, he was commissioned to create the Indro Montanelli Public Gardens near the Porta Venezia in Milan, which he ordered in English landscape-style. Among his many private projects are:
Gardens for the Villa Visconti Castiglione Maineri at Cassinetta di Lugagnano
Gardens for the Villa Sironi-Marelli at Robecco sul Naviglio
Gardens and refurbishment of Villa Andrea Ponti part of "Ville Ponti" at Varese
Restructuring (1873) of Pia casa degli incurabili at Abbiategrasso
Walls, towers, and gardens at Villa Torneamento
Ca' de Sass (1869), first home of the Cassa di Risparmio delle Provincie Lombarde in Milan.
Giuseppe Balzaretti was named professor of architecture and design at the Accademia di Belle Arti di Genova he was named a knight of the Order of the Crown of Italy on 14 August 1871.
Balzaretti is buried in the Monumental Cemetery of Milan.
References
1801 births
1874 deaths
Architects from Milan
19th-century Italian architects
Italian landscape architects |
https://en.wikipedia.org/wiki/Albert%20Marden | Albert Marden (born 18 November 1934) is an American mathematician, specializing in complex analysis and hyperbolic geometry.
Education and career
Marden received his PhD in 1962 from Harvard University with thesis advisor Lars Ahlfors. Marden has been a professor at the University of Minnesota since the 1970s, where he is now professor emeritus. He was a member of the Institute for Advanced Study (IAS) in the academic year 1969–70, Fall 1978, and Fall 1987.
His research deals with Riemann surfaces, quadratic differentials, Teichmüller spaces, hyperbolic geometry of surfaces and 3-manifolds, Fuchsian groups, Kleinian groups, complex dynamics, and low-dimensional geometric analysis.
Concerning properties of hyperbolic 3-manifolds, Marden formulated in 1974 the tameness conjecture, which was proved in 2004 by Ian Agol and independently by a collaborative effort of Danny Calegari and David Gabai.
In 1962, he gave a talk (as an approved speaker but not an invited speaker) on A sufficient condition for the bilinear relation on open Riemann surfaces at the International Congress of Mathematicians in Stockholm. In 2012 he was elected a Fellow of the American Mathematical Society. His doctoral students include Howard Masur.
Selected publications
Articles
with David B. A. Epstein:
with Troels Jørgensen:
with Burt Rodin:
with Daniel Gallo and Michael Kapovich:
with D. B. A. Epstein and V. Markovic:
Books
with Richard Canary and David B. A. Epstein (editors):
References
External links
Homepage
20th-century American mathematicians
21st-century American mathematicians
Harvard University alumni
University of Minnesota faculty
Fellows of the American Mathematical Society
Complex analysts
1934 births
Living people |
https://en.wikipedia.org/wiki/David%20Kent%20Harrison | David Kent Harrison (6 April 1931, Massachusetts – 21 December 1999, Barnstable, Massachusetts) was an American mathematician, specializing in algebra, particularly homological algebra and valuation theory.
He completed his Ph.D. at Princeton University in 1957; his dissertation, titled On torsion free abelian groups, was written under the supervision of Emil Artin.
Harrison was a faculty member from 1959 to 1963 at the University of Pennsylvania and from 1963 to 1993 at the University of Oregon, retiring there as professor emeritus in 1993.
He developed a commutative cohomology theory for commutative algebras. Along with his colleague Marie A. Vitulli, he developed a unified valuation theory for rings with zero divisors that generalized both Krull and Archimedean valuations.
He was a Guggenheim Fellow for the academic year 1963–1964. He supervised 28 doctoral students including Joel Cunningham. Ann Hill Harrison endowed the Harrison Memory Award for outstanding mathematical students at the University of Oregon. He is survived by his son, composer and pianist Michael Harrison, a Guggenheim Fellow for the academic year 2018–2019, and his daughter Jo Ellen Harrison.
Selected publications
with J. M. Irwin, C. L. Peercy, and E. A. Walker:
with Stephen U. Chase and Alex F. T. W. Rosenberg:
with Joel Cunningham:
with Hoyt D. Warner:
with Cornelius Greither:
with Bodo Pareigis:
with M. A. Vitulli:
with Frank DeMeyer and Rick Miranda:
with C. Greither:
References
External links
(1955 photograph of, left to right, Charles W. Misner, Hale Trotter, Niels Bohr, Hugh Everett III, and David Harrison)
David K. Harrisons's Author Profile Page on MathSciNet
1931 births
1999 deaths
20th-century American mathematicians
Algebraists
Mathematicians from Massachusetts
Princeton University alumni
University of Oregon faculty |
https://en.wikipedia.org/wiki/Antonio%20Auffinger | Antonio Auffinger is a Brazilian mathematician. He works in the area of probability theory and mathematical physics.
Education and career
Auffinger completed his doctorate at the Courant Institute in 2011; his dissertation was supervised by Gerard Ben Arous and was awarded the Francisco Aranda-Ordaz Prize by the Bernoulli Society for Mathematical Statistics and Probability.
He was Leonard Eugene Dickson instructor at the University of Chicago before moving in 2014 to Northwestern University, where he is a professor of mathematics.
Book
He co-authored a book on first passage percolation published by the American Mathematical Society.
Recognition
Auffinger won a National Science Foundation CAREER award in 2016. In 2017, he was awarded a gold medal prize by the International Consortium of Chinese Mathematicians for his proof of the uniqueness of the Parisi measure in spin glasses.
He was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to probability theory and mathematical physics and, in particular, to the study of spin glasses and percolation theory".
References
Brazilian mathematicians
Courant Institute of Mathematical Sciences alumni
University of Chicago faculty
Northwestern University faculty
Living people
Year of birth missing (living people)
Place of birth missing (living people)
Brazilian expatriate academics in the United States
Mathematical physicists
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Transseries | In mathematics, the field of logarithmic-exponential transseries is a non-Archimedean ordered differential field which extends comparability of asymptotic growth rates of elementary nontrigonometric functions to a much broader class of objects. Each log-exp transseries represents a formal asymptotic behavior, and it can be manipulated formally, and when it converges (or in every case if using special semantics such as through infinite surreal numbers), corresponds to actual behavior. Transseries can also be convenient for representing functions. Through their inclusion of exponentiation and logarithms, transseries are a strong generalization of the power series at infinity () and other similar asymptotic expansions.
The field was introduced independently by Dahn-Göring and Ecalle in the respective contexts of model theory or exponential fields and of the study of analytic singularity and proof by Ecalle of the Dulac conjectures. It constitutes a formal object, extending the field of exp-log functions of Hardy and the field of accelerando-summable series of Ecalle.
The field enjoys a rich structure: an ordered field with a notion of generalized series and sums, with a compatible derivation with distinguished antiderivation, compatible exponential and logarithm functions and a notion of formal composition of series.
Examples and counter-examples
Informally speaking, exp-log transseries are well-based (i.e. reverse well-ordered) formal Hahn series of real powers of the positive infinite indeterminate , exponentials, logarithms and their compositions, with real coefficients. Two important additional conditions are that the exponential and logarithmic depth of an exp-log transseries that is the maximal numbers of iterations of exp and log occurring in must be finite.
The following formal series are log-exp transseries:
The following formal series are not log-exp transseries:
— this series is not well-based.
— the logarithmic depth of this series is infinite
— the exponential and logarithmic depths of this series are infinite
It is possible to define differential fields of transseries containing the two last series; they belong respectively to and (see the paragraph Using surreal numbers below).
Introduction
A remarkable fact is that asymptotic growth rates of elementary nontrigonometric functions and even all functions definable in the model theoretic structure of the ordered exponential field of real numbers are all comparable:
For all such and , we have or , where means . The equivalence class of under the relation is the asymptotic behavior of , also called the germ of (or the germ of at infinity).
The field of transseries can be intuitively viewed as a formal generalization of these growth rates: In addition to the elementary operations, transseries are closed under "limits" for appropriate sequences with bounded exponential and logarithmic depth. However, a complication is that growth rates are non-Archimedean |
https://en.wikipedia.org/wiki/Bunkers%20%28energy%20in%20transport%29 | In energy statistics, marine bunkers and aviation bunkers as defined by the International Energy Agency are the energy consumption of ships and aircraft.
Marine and aviation bunkers are reported separately from international bunkers, which represent consumption of ships and aircraft on international routes.
International bunkers are subtracted from the energy supplies of a country to calculate its domestic consumption. It is as if international aviation and international shipping did not belong to any country. They are managed by the International Civil Aviation Organization (ICAO) and the International Maritime Organization (IMO).
Critics
The European Federation for Transport and Environment has only limited confidence in ICAO and IMO's ability to reduce air and sea emissions due to international bunkers and thus to comply with the Paris Climate Agreement.
A few figures
International marine bunkers amount to 2,466 TWh/a whereas international aviation bunkers amount to 2,163 TWh/a.
References
See also
Bunkering
Energy in transport |
https://en.wikipedia.org/wiki/Wilhelm%20Winter | Wilhelm Winter (born 1968) is a German mathematician, specializing in operator algebras (and particularly C*-algebras).
Education and career
Winter received in 1996 his Diplom from the Heidelberg University and in 2000 his doctorate (Promotion) from the University of Münster with thesis advisor Joachim Cuntz and thesis Covering Dimension for Nuclear C*-Algebras. At the University of Münster he was a research assistant from 2001 to 2007 and habilitated there in 2006 in Münster. In Fall 2002 he was a visiting assistant professor at Texas A & M University. From 2007 to 2011 he was at University of Nottingham, first as a lecturer and later as a reader. Winter is a professor of mathematics at the University of Münster since 2011.
In 2010 he received with Andrew Toms the G. de B. Robinson Award. In 2018 Winter was an invited speaker with talk Structure of nuclear C*-algebras: From quasidiagonality to classification, and back again at the International Congress of Mathematicians in Rio de Janeiro.
Selected publications
References
External links
Wilhelm Winter on the website of the University of Münster
arxiv.org preprints by Wilhelm Winter
20th-century German mathematicians
21st-century German mathematicians
Heidelberg University alumni
University of Münster alumni
Academic staff of the University of Münster
1968 births
Living people |
https://en.wikipedia.org/wiki/Diane%20Maclagan | Diane Margaret Maclagan (born 1974) is a professor of mathematics at the University of Warwick. She is a researcher in combinatorial and computational commutative algebra and algebraic geometry, with an emphasis on toric varieties, Hilbert schemes, and tropical geometry.
Education and career
As a student at Burnside High School in Christchurch, New Zealand, Maclagan competed in the International Mathematical Olympiad in 1990 and 1991, earning a bronze medal in 1991. As an undergraduate, she studied at the University of Canterbury, graduating in 1995. She did her PhD at the University of California, Berkeley, graduating in 2000. Her dissertation, Structures on Sets of Monomial Ideals, was supervised by Bernd Sturmfels.
After postdoctoral research at the Institute for Advanced Study, Maclagan was a Szegő Assistant Professor at Stanford University from 2001 to 2004, an assistant professor at Rutgers University from 2004 to 2007, then an associate professor there from 2007 to 2009. She moved to her present position at the University of Warwick in 2007.
Books
With Bernd Sturmfels, Maclagan is the author of the book Introduction to Tropical Geometry. With Rekha R. Thomas, Sara Faridi, Leah Gold, A. V. Jayanthan, Amit Khetan, and Tony Puthenpurakal, she is the author of Computational Algebra and Combinatorics of Toric Ideals.
References
External links
Home page
Living people
Women mathematicians
Academics of the University of Warwick
Geometers
20th-century New Zealand mathematicians
1974 births
21st-century New Zealand mathematicians |
https://en.wikipedia.org/wiki/Emmanuel%20Tr%C3%A9lat | Emmanuel Trélat (born 24 December 1974) is a French mathematician.
Education and career
Emmanuel Trélat was admitted at École normale supérieure de Cachan (mathematics) in 1995 and obtained the agrégation in 1998. In 2000, he obtained a doctorate under the direction of Bernard Bonnard at the University of Burgundy at Dijon with thesis titled Étude asymptotique et transcendance de la fonction valeur en contrôle optimal; catégorie log-exp en géométrie sous-Riemannienne dans le cas Martinet (Asymptotic study and transcendence of the value function in optimal control; category log-exp in sub-Riemannian geometry in the Martinet case). In 2001 he was appointed an assistant professor at the University of Paris-Sud, where he obtained in 2005 his habilitation Contrôle en dimension finie et infinie (Control in finite and infinite dimension). In 2006 he was appointed a professor at the University of Orleans. Since 2011 he has been a professor at Sorbonne Université at the . From 2015 to 2019 he was the director of the . Since 2020, he is the director of the .
Emmanuel Trélat's research focuses on control theory in finite and infinite dimensions, sub-Riemannian geometry, image analysis, domain optimization. He is also a specialist in numerical methods in optimal control, particularly in aerospace applications.
Honors and awards
2006 — SIAM Outstanding Paper Prize
2010 — Prix Maurice-Audin
2011 — elected a member of the Institut universitaire de France
2012 — Felix Klein Prize
2014 — Prix Blaise-Pascal
2016 — Prix Madame Victor Noury
2018 — Invited Speaker, International Congress of Mathematicians at Rio de Janeiro
Selected publications
with Bernard Bonnard and Ludovic Faubourg:
References
External links
homepage, Sorbonne Université
(lecture in French, slides in English)
1974 births
Living people
21st-century French mathematicians
École Normale Supérieure alumni
University of Burgundy alumni
Academic staff of Pierre and Marie Curie University |
https://en.wikipedia.org/wiki/Jeanne%20N.%20Clelland | Jeanne A. Nielsen Clelland (born 1970) is an American mathematician specializing in differential geometry and its applications to differential equations. She is a professor of mathematics at the University of Colorado Boulder, and the author of a textbook on moving frames, From Frenet to Cartan: The Method of Moving Frames (Graduate Studies in Mathematics 178, American Mathematical Society, 2017).
Education
Clelland graduated from Duke University in 1991, and stayed at Duke for her graduate studies, completing her doctorate there in 1996. Her dissertation, Geometry of Conservation Laws for a Class of Parabolic Partial Differential Equations, was supervised by Robert Bryant.
Recognition
Clelland was awarded the Alice T. Schafer Prize from the Association for Women in Mathematics in 1991. She is also the 2018 winner of the Burton W. Jones Distinguished Teaching Award, from the Rocky Mountain Section of the Mathematical Association of America.
References
External links
Home page
1970 births
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Differential geometers
Duke University faculty
University of Colorado Boulder faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Frans%20Oort | Frans Oort (born 17 July 1935) is a Dutch mathematician who specializes in algebraic geometry.
Career
Oort studied from 1952 to 1958 at Leiden University, where he graduated with a thesis on elliptic curves. He received his doctorate in 1961 in Leiden from and Jaap Murre with thesis Reducible and Multiple Algebraic Curves, but had previously studied under Jean-Pierre Serre in Paris and Aldo Andreotti in Pisa. Oort was from 1961 at the University of Amsterdam, where he became a professor in 1967. In 1977, until his retirement in 2000, he was a professor at Utrecht University.
He was a visiting scholar at several academic institutions, including Harvard University (1966/67) and Aarhus University (1972/73). In 2008 he was the Eilenberg Professor at Columbia University.
His doctoral students include Bas Edixhoven, Michiel Hazewinkel, Aise Johan de Jong, Hendrik Lenstra and Joseph Steenbrink.
Research
Oort's research deals with, among other topics, abelian varieties and their modules. In 1994, he formulated what is now known as the André–Oort conjecture (generalizing a conjecture made in 1989 by Yves André). In 2000 Oort proved a conjecture made by Grothendieck in 1970.
Awards and honors
In 1962, Oort made a short contribution Multiple algebraic curves at the International Congress of Mathematicians in Stockholm, but was not an invited speaker. In 2011 he was elected a member of Academia Europaea. In July 2013, he gave a talk at the International Congress of Chinese Mathematicians in Taipei.
Personal life
Oort married and later divorced author (1936–2020).
Selected publications
Commutative group schemes, Springer 1966;
as editor: Algebraic Geometry, Oslo 1970, Wolters-Noordhoff 1972
with Ke-Zheng Li: Moduli of supersingular abelian varieties, Springer 1998
as editor with Steenbrink and van der Geer: Arithmetic algebraic geometry , Birkhäuser 1991;
as editor with Carel Faber and Gerard van der Geer: Moduli of abelian varieties, Birkhäuser 2001
with Ching-Li Chai:
References
External links
Homepage in Utrecht
20th-century Dutch mathematicians
21st-century Dutch mathematicians
Algebraic geometers
Leiden University alumni
Academic staff of the University of Amsterdam
Academic staff of Utrecht University
Members of Academia Europaea
1935 births
Living people |
https://en.wikipedia.org/wiki/Peter%20Berck | Peter Berck (April 26, 1950 – August 10, 2018) was an American economist.
Berck studied mathematics and economics at the University of California, Berkeley, and completed a doctorate in economics from the Massachusetts Institute of Technology in 1976. Berck returned to Berkeley as a faculty member and was named the S.J. Hall Professor of Forest Economics.
Background
Berck grew up in New York, attended UC Berkeley, and earned a PhD in economics from MIT. Returning to Berkeley, he spent his academic career of nearly 42 years in UC Berkeley's Department of Agricultural & Resource Economics, College of Natural Resources.
Berck was an environmental economist focusing on farming, forests, fisheries, pollution, and energy.
References
1950 births
2018 deaths
MIT School of Humanities, Arts, and Social Sciences alumni
UC Berkeley College of Letters and Science alumni
University of California, Berkeley College of Natural Resources faculty
American economists
American agricultural economists
Environmental economists |
https://en.wikipedia.org/wiki/2018%E2%80%9319%20Athletic%20Bilbao%20season | The 2018–19 season was the 120th in Athletic Club’s history and the 88th in the top tier.
Squad
According to the official website.
Player statistics
Disciplinary record
From the youth system
Transfer
In
Out
Staff
According to the official website:
Pre-season and friendlies
Competitions
Overview
La Liga
League table
Results summary
Result round by round
Matches
Copa del Rey
Round of 32
Round of 16
References
Athletic Bilbao seasons
Athletic Bilbao
2018 in the Basque Country (autonomous community)
2019 in the Basque Country (autonomous community) |
https://en.wikipedia.org/wiki/Joseph%20H.%20M.%20Steenbrink | Joseph Henri Maria Steenbrink (born 1947) is a Dutch mathematician, specializing in algebraic geometry.
Steenbrink received in 1974 his doctorate from the University of Amsterdam with thesis advisor Frans Oort and thesis Limits of Hodge Structures and Intermediate Jacobians. He is now a professor at Radboud University Nijmegen.
His research deals with singularity theory (including three-dimensional Calabi-Yau varieties), mixed Hodge structures (after Pierre Deligne), and variation of Hodge structures (after Phillip Griffiths).
Steenbrink was an Invited Speaker at the International Congress of Mathematicians in 1990 in Kyoto.
His doctoral students include Aise Johan de Jong.
In addition to his mathematical work, Steenbrink is a harpsichordist, organist, and choir singer.
Selected publications
with Christiaan A. M. Peters: Mixed Hodge Structures, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer Verlag 2008
with Steven Zucker: Variation of mixed Hodge structure, I, Invent. Math., 80 (1985) 489–542
as editor with Vladimir Arnold and Gert-Martin Greuel: Singularities: The Brieskorn Anniversary Volume, Birkhäuser 1998;
as editor with Gerard van der Geer and Oort: Arithmetic Algebraic Geometry, Birkhäuser 1991;
with Yoshinori Namikawa: Global smoothing of Calabi-Yau-threefolds, Inventiones Mathematicae, vol. 122, 1995, pp. 403–419
References
External links
Homepage
20th-century Dutch mathematicians
21st-century Dutch mathematicians
University of Amsterdam alumni
Academic staff of Radboud University Nijmegen
1947 births
Living people |
https://en.wikipedia.org/wiki/Vincent%20Pilloni | Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.
Career
Pilloni studied at the École Normale Supérieure and received his doctorate in 2009 from Université Sorbonne Paris Nord with thesis advisor Jacques Tilouine and thesis Arithmétique des variétés de Siegel.
His research deals with, among other topics, the question of how the modularity theorem for elliptic curves over the rational numbers (which led to the proof of Fermat's Last Theorem) can be extended to abelian varieties. With Fabrizio Andreatta and Adrian Iovita, he worked on general modularity conjectures (following Fontaine-Mazur, Langlands, Clozel, and others).
Pilloni is a Chargé de recherche of CNRS at the École normale supérieure de Lyon (UMPA).
In 2018 he was an invited speaker, with Fabrizio Andreatta and Adrian Iovita, at the International Congress of Mathematicians in Rio de Janeiro. In 2018 Pilloni received the Prix Élie Cartan. In 2021 he was awarded the Fermat Prize.
Selected publications
with Benoit Stroh: Surconvergence, ramification et modularité, Astérisque, vol. 382, 2016, pp. 195–266. MR
References
External links
website at ENS Lyon
Interview 2018, CNRS (in French)
21st-century French mathematicians
Algebraic geometers
École Normale Supérieure alumni
University of Paris alumni
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Kirsi%20Peltonen | Kirsi Peltonen is a Finnish mathematician whose research interests include differential geometry and the connections between mathematics and art. She is a Senior University Lecturer in the Department of Mathematics and Systems Analysis at Aalto University, and a docent at the University of Helsinki. Her work has included the design of an innovative interdisciplinary course on mathematics, art, and architecture, the creation of a major exhibit at the Heureka science center near Helsinki, and presentations on mathematics at Finnish schools.
Peltonen earned her Ph.D. in 1992, at the University of Helsinki. Her dissertation, On the Existence of Quasiregular Mappings, was supervised by Seppo Rickman.
In 2015, Peltonen was the inaugural lecturer for a series of lectures titled Women in Mathematics in Finland and sponsored by European Women in Mathematics.
In 2018 the Finnish Mathematics Society awarded their annual mathematics prize to Peltonen, for her work on mathematics and art.
References
External links
Home page
Year of birth missing (living people)
Living people
Finnish mathematicians
Women mathematicians
Differential geometers
University of Helsinki alumni
Academic staff of Aalto University |
https://en.wikipedia.org/wiki/James%20Stark%20%28statistician%29 | James Stark of Huntfield FRSE FRCPE [Scottish Society of Arts|FSSA]] (9 November 1811–2 July 1890) was a 19th-century Scottish physician who became the first Superintendent of Statistics in Scotland. He created the concept of vital statistics in 1854.
Life
He was born on 9 November 1811 at 2 Bristo Street in Edinburgh's South Side, the son of Emma Brown (d.1815) and her husband, John Stark.
He studied medicine at the University of Edinburgh, and undertook postgraduate studies in Paris and Bonn gaining his doctorate (MD) from Edinburgh in 1833. He then set up as a GP in the city at 21 Rutland Street in the West End of the city. In 1839 he became a Fellow of the Royal College of Physicians of Edinburgh and became Curator of their museum.
In 1842 he was elected a Fellow of the Royal Society of Edinburgh, the proposer being his father.
In 1854, following the passing of the Scottish Registration Act, William Pitt Dundas in his role as Registrar General for Scotland, requested that the government fund a Superintendent of Statistics; preferably of medical background. The Royal College of Physicians of Edinburgh put forward Dr James Stark. He thereafter worked for the General Register Office of Scotland. He held the role until retiral in 1873, still living at 21 Rutland Street.
He died at Underwood House in Bridge of Allan on 2 July 1890. He is buried nearby in Logie Kirk. The grave lies to the north-east of the church. He is also memorialised on his parents' grave in St Cuthbert's Churchyard in central Edinburgh, at the west end of Princes Street Gardens. The memorial lies against the outer north wall of the church.
Family
He was married to Isabella Black (1815-1874). Following her death he married Agnes Durie (1818-1907).
References
1811 births
1890 deaths
Medical doctors from Edinburgh
Alumni of the University of Edinburgh
19th-century Scottish medical doctors
Scottish statisticians
Fellows of the Royal Society of Edinburgh
Scientists from Edinburgh
Civil servants from Edinburgh |
https://en.wikipedia.org/wiki/David%20Ginzburg | David Ginzburg is a professor of mathematics at Tel Aviv University working in number theory and automorphic forms.
Career
Ginzburg received his PhD in mathematics from Tel Aviv University in 1988 under the supervision of Stephen Gelbart. He is a professor of mathematics at Tel Aviv University.
Research
Together with Stephen Rallis and David Soudry, Ginzburg wrote a series of papers about automorphic descent culminating in their book "The descent map from automorphic representations of GL(n) to classical groups". Their automorphic descent method constructs an explicit inverse map to the (standard) Langlands functorial lift and has had major applications to the analysis of functoriality. Also, using the "Rallis tower property" from Rallis's 1984 paper on the Howe duality conjecture, they studied global exceptional correspondences and found new examples of functorial lifts.
Selected publications
References
External links
20th-century Israeli mathematicians
21st-century Israeli mathematicians
Number theorists
Year of birth missing (living people)
Tel Aviv University alumni
Academic staff of Tel Aviv University
Living people |
https://en.wikipedia.org/wiki/Mohammad%20Khodabandelou | Mohammad Khodabandehlo (; born 7 September 1999) is an Iranian footballer who plays as a midfielder for Persian Gulf Pro League side Zob Ahan.
Career statistics
Club
Other websites
References
1999 births
Living people
Iranian men's footballers
Persian Gulf Pro League players
Paykan F.C. players
Men's association football midfielders
Footballers at the 2018 Asian Games
Footballers at the 2022 Asian Games
Asian Games competitors for Iran
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Lee%20Si-young%20%28footballer%29 | Lee Si-young (; born 21 April 1997) is a South Korean footballer currently playing as a defender for Seongnam.
Club career
On 22 December 2022, Lee Si-young is joined FC Seoul.
Career statistics
Club
References
External links
1997 births
Living people
South Korean men's footballers
Men's association football defenders
K League 2 players
Seongnam FC players
Gwangju FC players
Footballers at the 2018 Asian Games
Asian Games medalists in football
Asian Games gold medalists for South Korea
Medalists at the 2018 Asian Games
South Korea men's under-23 international footballers |
https://en.wikipedia.org/wiki/Tr%E1%BB%8Bnh%20V%C4%83n%20L%E1%BB%A3i | Trịnh Văn Lợi (born 26 May 1995) is a Vietnamese footballer who plays as a defender for V.League 1 side Thanh Hóa.
Career statistics
Club
Notes
Honours
Club
Đông Á Thanh Hóa
Vietnamese National Cup:
Third place : 2022
Champion : 2023
References
1995 births
Living people
Vietnamese men's footballers
V.League 1 players
Men's association football defenders
Thanh Hóa FC players
Haiphong FC players |
https://en.wikipedia.org/wiki/List%20of%20Odense%20Boldklub%20records%20and%20statistics | Odense Boldklub are a Danish professional association football club based in Odense, Denmark, who currently play in the Danish Superliga.
This list encompasses the major honours won by Odense, records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by Odense players on the international stage, and the highest transfer fees paid and received by the club. Attendance records at Odense Stadium are also included in the list.
The club have won 3 Danish championships.
All statistics are correct
Honours
Player records
Most appearances
Competitive, professional matches only, appearances as substitute in brackets.
Top goalscorers
Competitive, professional matches only, appearances as substitute in brackets.
Transfers
Record transfer fees received
European statistics
External links
References
Odense Boldklub |
https://en.wikipedia.org/wiki/Ulla%20Pursiheimo | Ulla Irmeli Pursiheimo (born May 4, 1944) is a Finnish mathematician who became the first female mathematics professor in Finland. Her areas of interest in mathematics include mathematical optimization, control theory, search games, and later in her career mathematics education.
Pursiheimo earned her doctorate from the University of Turku in 1971. Her dissertation, Optimization of Search With Constant Spreading Speed of Effort, was supervised by .
She became a full professor of mathematics at the University of Turku in 1974, and retired to become a professor emerita in 1999.
References
Finnish mathematicians
Women mathematicians
University of Turku alumni
Academic staff of the University of Turku
1944 births
Living people |
https://en.wikipedia.org/wiki/Rentsen%20Enkhbat | Rentsen Enkhbat is the current director of the Institute Mathematics at the National University of Mongolia in Ulaanbaatar, Mongolia. He is a professor of mathematics at the Business School of National University of Mongolia.
Education
He received his bachelor's, master's and Ph.D. degrees from Irkutsk State University (Russia) in applied mathematics in 1980 and 1990, respectively. He received also his master's degree in economics from National University of Mongolia in 1998 and Sc.D degree from Mongolian Academy of Sciences in 2003.
Awards and recognition
His awards include prize of the Third World and Mongolian Academy of Sciences, award of Consortium of Mongolian Higher Education Universities, and Government Medal.
He is the author and co-author 16 books and the editor of 17 books. He has written more than 100 scientific papers. His recent research interest lies in Global Optimization, Optimal Control and Game theory. He has held visiting appointments at the University of Massachusetts, Kyoto University, Ibaraki University, Humboldt University of Berlin, University of Florida, Korea Institute for Advanced Study, Inje University (Korea), Curtin University (Australia), and Littoral University (France). He is a member of American and Mongolian Mathematical Societies, and USA and Mongolian Chess Federations. He is a Mongolian National Chess Master.
References
Taylor & Francis Journal: Optimization - A Journal of Mathematical Programming and Operations Research
Lambert Publisher 2009 Journal: International Journal of Pure and Applied Mathematics, Book: Quasiconvex Programming and its Applications,
World Scientific Optimization and Optimal Control
External links
Homepage
Mongolian mathematicians
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Shamsul%20Azhar%20Shah | Shamsul Azhar Shah is a Professor of Epidemiology and Statistics at UKM Medical Molecular Biology Institute (UMBI), and the 2nd director of UMBI.
References
External links
Professor Shamsul Azhar Shah
Living people
1967 births
Academic staff of the National University of Malaysia
National University of Malaysia alumni
Malaysian epidemiologists |
https://en.wikipedia.org/wiki/James%20William%20Peter%20Hirschfeld | James William Peter Hirschfeld (born 1940) is an Australian mathematician, resident in the United Kingdom, specializing in combinatorial geometry and the geometry of finite fields. He is an emeritus professor and Tutorial Fellow at the University of Sussex.
Hirschfeld received his doctorate in 1966 from the University of Edinburgh with thesis advisor William Leonard Edge and thesis The geometry of cubic surfaces, and Grace's extension of the double-six, over finite fields.
To pursue further studies in finite geometry Hirschfeld went to University of Perugia and University of Rome with support from the Royal Society and Accademia nazionale dei Lincei. He edited Beniamino Segre's 100-page monograph "Introduction to Galois Geometries" (1967).
In 1979 Hirschfeld published the first of a trilogy on Galois geometry, pegged at a level depending only on "the group theory and linear algebra taught in a first degree course, as well as a little projective geometry, and a very little algebraic geometry." When q is a prime power then there is a finite field GF(q) with q elements called a Galois field. A vector space over GF(q) of n + 1 dimensions produces an n-dimensional Galois geometry PG(n,q) with its subspaces: one-dimensional subspaces are the points of the Galois geometry and two-dimensional subspaces are the lines. Non-singular linear transformations of the vector space provide motions of PG(n,q). The first book (1979) covered PG(1,q) and PG(2,q). The second book addressed PG(3,q) and the third PG(n,q). Chapters are numbered sequentially through the trilogy: 14 in the first book, 15 to 21 in the second, and 22 to 27 in the third. Finite geometry has contributed to coding theory, such as algebraic geometry codes, so the field is supported by computer science. In the preface of the 1991 text Hirschfeld summarizes the status of Galois geometry, mentioning maximum distance separable code, mathematics journals publishing finite geometry, and conferences on combinatorics featuring Galois geometry. Colleague Joseph A. Thas is coauthor of General Galois Geometries on PG(n,q) where n ≥ 4.
Hirschfeld was cited as the ultimate editor of Design Theory (1986).
In 2018 he received the 2016 Euler Medal.
Selected publications
1979: Projective Geometries over Finite Fields, Oxford University Press 2nd ed., Oxford, Clarendon Press 1998
1985: Finite Projective Spaces of Three Dimensions, Oxford University Press
1991: (with Joseph A. Thas) General Galois Geometries, Oxford University Press 2016 paperback reprint
2008: (with Gábor Korchmáros & Fernando Torres) Algebraic Curves over a Finite Field, Princeton University Press
References
External links
Prof James Hirschfeld at University of Sussex
Alumni of the University of Edinburgh
Academics of the University of Sussex
20th-century British mathematicians
21st-century British mathematicians
Combinatorialists
Geometers
1940 births
Living people |
https://en.wikipedia.org/wiki/Robert%20J.%20Plemmons | Robert James Plemmons (born December 18, 1938) is an American mathematician specializing in computational mathematics. He is the Emeritus Z. Smith Reynolds Professor of Mathematics and Computer Science at Wake Forest University. In 1979, Plemmons co-authored the book Nonnegative Matrices in the Mathematical Sciences.
Education and life
Plemmons was born in 1938 in the small town of Old Fort, North Carolina, and grew up in rural Appalachia. He attended Old Fort High School and graduated in 1957, having been the star athlete in both baseball and football.
He attended Wake Forest University (WFU) on a full baseball scholarship. Former athletic director Gene Hooks was his baseball coach. In 1959, he held the record for earned run average. During the years 1959–61, he held the record for victories, innings pitched, strikeouts, and complete games, and made All-Conference Pitcher all three years. In the academic year 1960–61, he was awarded the WFU ACC Scholar-Athlete of the Year. Plemmons graduated from Wake Forest in 1961 with a Bachelor of Science Degree in Mathematics.
During the early 1960s, Plemmons played professional baseball for four years with the Baltimore Orioles' minor league clubs. He played with the Tri-City Atoms, Aberdeen Pheasants, and Elmira Pioneers.
In December 1963, he married Mary Jo Harris, also from Old Fort and a graduate of Old Fort High School.
Plemmons attended graduate school at Auburn University from 1961 to 1965, receiving his PhD in Applied mathematics in 1965. He then held research positions with Martin Marietta in Orlando, Florida, and the National Security Agency in Ft. Meade. He served as a faculty member at the University of Mississippi from 1966 to 1967, before moving to the University of Tennessee Knoxville in 1967. In 1981, Plemmons moved to Raleigh, North Carolina, where he taught at North Carolina State University until 1990. While there, he founded the University of North Carolina System's Center for Research in Scientific Computation. Plemmons joined the faculty of Wake Forest University in 1990. In 2013, he retired from teaching, but still conducts research at WFU. He was also the professor and mentor of former NBA and WFU basketball player Rusty LaRue.
Academic work
Plemmons has focused his work on applied computational mathematics. At Auburn in the early 1960s, Plemmons' work with PhD advisors Richard Ball and Emilie Haynsworth was focused on finite semigroups theory. He continued this research until the early 1980s at the University of Tennessee Knoxville. In 1979, he co-authored the book Nonnegative Matrices in the Mathematical Sciences along with Abraham Berman. The book has been cited over 7,500 times. In 1994, it was revised and republished by the Society for Industrial and Applied Mathematics (SIAM).
In the mid-to-late 1980s until mid 1990s, his research focused on numerical linear algebra, specifically in Matrix Theory with applications in Markov chains and nonnegative matrices. Plemmons ha |
https://en.wikipedia.org/wiki/Flag%20bundle | In algebraic geometry, the flag bundle of a flag
of vector bundles on an algebraic scheme X is the algebraic scheme over X:
such that is a flag of vector spaces such that is a vector subspace of of dimension i.
If X is a point, then a flag bundle is a flag variety and if the length of the flag is one, then it is the Grassmann bundle; hence, a flag bundle is a common generalization of these two notions.
Construction
A flag bundle can be constructed inductively.
References
Expo. VI, § 4. of
Algebraic geometry |
https://en.wikipedia.org/wiki/Kazuki%20Yamaguchi%20%28footballer%2C%20born%201995%29 | is a Japanese football player for ReinMeer Aomori.
Career
Kazuki Yamaguchi signed for Shonan Bellmare in September 2017 to play for the Kanagawa-based club in 2018 season.
Club statistics
Updated to 18 February 2019.
References
External links
Profile at J. League
Profile at Shonan Bellmare
1995 births
Living people
Association football people from Aichi Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Shonan Bellmare players
FC Ryukyu players
AC Nagano Parceiro players
Men's association football forwards |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.