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https://en.wikipedia.org/wiki/Junior%20Paredes | Junior José Paredes Jaspe (born 1 January 2001) is a Venezuelan footballer who plays as a forward for Estudiantes.
Career statistics
Club
Notes
References
2001 births
Living people
Venezuelan men's footballers
Venezuela men's under-20 international footballers
Men's association football forwards
Atlético Morelia players
Venezuelan Primera División players
Uruguayan Primera División players
Zulia F.C. players
Montevideo City Torque players
Venezuelan expatriate men's footballers
Expatriate men's footballers in Uruguay
Sportspeople from Maracaibo |
https://en.wikipedia.org/wiki/Cristopher%20Varela | Cristopher Javier Varela Caicedo (born 27 November 1999) is a Venezuelan footballer who plays as a goalkeeper for Atletico Bucaramanga.
Career statistics
Club
Notes
References
1999 births
Living people
Venezuelan men's footballers
Men's association football goalkeepers
Venezuelan Primera División players
Deportivo Táchira F.C. players
Sportspeople from San Cristóbal, Táchira |
https://en.wikipedia.org/wiki/Marco%20G%C3%B3mez%20%28footballer%2C%20born%202000%29 | Marco Andrés Gómez Muzzatti (born 19 April 2000) is a Venezuelan footballer who plays as a defender for Zulia.
Career statistics
Club
Notes
References
2000 births
Living people
Venezuelan men's footballers
Venezuela men's under-20 international footballers
Men's association football defenders
Venezuelan Primera División players
Zulia F.C. players
Sportspeople from Maracaibo
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Steven%20Blair | Steven Noel Blair (July 4, 1939-October 6, 2023) was an American exercise scientist. He has been a tenured professor in the Department of Exercise Science and Epidemiology and Biostatistics in the University of South Carolina's Arnold School of Public Health since 2006. He previously worked at the Dallas, Texas-based Cooper Institute, of which he was president and CEO from 2002 to 2006. He is known for his research on the health benefits of physical exercise. A 2005 New York Times article described Blair as "one of the nation's leading experts on the health benefits of exercise".
Awards and degrees
Blair's awards include the American Heart Association's Population Science Research Prize, the President's Council on Sports, Fitness, and Nutrition Lifetime Achievement Award, and the Bloomberg Manulife Prize from McGill University. He was also a fellow of the American Epidemiological Society, the American Heart Association, the American College of Sports Medicine, the National Academy of Kinesiology, the Society of Behavioral Medicine, and the Obesity Society. He has served as president of the American College of Sports Medicine, the American Academy of Kinesiology and Physical Education, and the National Coalition for Promoting Physical Activity. He held three honorary degrees: a Doctor Honoris Causa degree from the Free University of Brussels, a Doctor of Health Science degree from Lander University, and a Doctor of Science Honoris Causa degree from the University of Bristol.
Funding by the soft drink industry
In 2015, Blair came under scrutiny after the New York Times reported that he had received $3.5 million in research grants from the Coca-Cola Company since 2008. $500,000 of this money was used by Blair to help establish the Global Energy Balance Network (GEBN), a non-profit organization which was criticized for attempting to downplay the contribution of soft drink consumption to obesity. The University of South Carolina refused to return the grant, with a university spokesperson saying that the research funded by the grant was "...conducted ethically and within all applicable guidelines". Blair insisted that Coca-Cola had no influence over the GEBN's work or messaging.
References
External links
Faculty page
1939 births
Living people
Exercise physiologists
American exercise and fitness writers
University of South Carolina faculty
People from Mankato, Kansas
Kansas Wesleyan University alumni
Indiana University Bloomington alumni
Sports scientists |
https://en.wikipedia.org/wiki/Daurance%20Williams | Daurance Lester Williams (born 13 May 1983) is a retired Trinidadian football player.
Career statistics
International
References
External links
1983 births
Living people
Trinidad and Tobago men's footballers
Trinidad and Tobago men's international footballers
Men's association football goalkeepers
2007 CONCACAF Gold Cup players
San Juan Jabloteh F.C. players
Joe Public F.C. players
La Horquetta Rangers F.C. players |
https://en.wikipedia.org/wiki/Christon%20Baptiste | Christon Baptiste (born 25 January 1980) is a retired Trinidadian football player.
Career statistics
International
International goals
Scores and results list Trinidad and Tobago's goal tally first.
References
External links
1980 births
Living people
Trinidad and Tobago men's footballers
Trinidad and Tobago men's international footballers
Men's association football midfielders
2007 CONCACAF Gold Cup players
Defence Force F.C. players |
https://en.wikipedia.org/wiki/Nickolson%20Thomas | Nickolson Thomas (born 21 March 1982) is a retired Trinidadian football player.
Career statistics
International
References
External links
1982 births
Living people
Trinidad and Tobago men's footballers
Trinidad and Tobago men's international footballers
Men's association football defenders
2007 CONCACAF Gold Cup players
W Connection F.C. players
Point Fortin Civic F.C. players |
https://en.wikipedia.org/wiki/Sandra%20Stinnett | Sandra Sue Stinnett is an American statistician specializing in the biostatistics of ophthalmology. She is an associate professor in the departments of biostatistics and bioinformatics and of ophthalmology in the Duke University School of Medicine.
Education and career
Stinnett majored in psychology at the University of Houston. After graduating in 1970, she began taking mathematics courses at the university (a topic not covered in her degree program) in order to improve her employment prospects. At the same time, she began learning the Spanish language.
In 1973, she began a master's program in biometry at the University of Texas School of Public Health. Her research in the program involved traveling to Panama to study the blood pressure of Afro-Panamanian people. She earned a master's degree in 1977, with a thesis on Regression to the mean in sequential measurement of blood pressure. Afterwards she stayed at the school as an epidemiologist.
In 1981, Stinnett moved to North Carolina, and in 1982 she entered the doctoral program in biostatistics at the University of North Carolina School of Public Health. After time away from the program doing statistical consulting for Quintiles and Rho, and studying Spanish in Spain, she completed her doctorate in 1993.
Her dissertation was Collinearity in Mixed Models, and was advised by Ronald W. Helms.
She joined Duke University in 1994, as an assistant research professor of community and family medicine, and became the director of statistical operations at the Duke Clinical Research Institute. She moved from community and family medicine to biostatistics and bioinformatics in 2000, and added an affiliation in the department of ophthalmology in 2001. She shifted from her research faculty position to being a regular-rank faculty member in 2007, and was promoted to associate professor in 2014.
Service
Stinnett was president of the Caucus for Women in Statistics for the 1997 term. She has also chaired the Committee on Women in Statistics and the Section on Statistical Consulting of the American Statistical Association.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Biostatisticians
University of Houston alumni
UTHealth School of Public Health alumni
UNC Gillings School of Global Public Health alumni
Duke University faculty |
https://en.wikipedia.org/wiki/Ademir%20%28footballer%2C%20born%201951%29 | Ademir Vieira (born 18 October 1951), known as just Ademir is a retired Brazilian footballer.
Career statistics
Club
Notes
References
1951 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football midfielders
Esporte Clube Santo André players
S.C. Olhanense players
Toronto Blizzard (1971–1984) players
FC Porto players
RC Celta de Vigo players
Louletano D.C. players
Imortal D.C. players
Galícia Esporte Clube players
F.C. Arouca players
Liga Portugal 2 players
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Brazilian expatriate sportspeople in Canada
Expatriate men's soccer players in Canada
Brazilian expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Map%20%28graph%20theory%29 | In topology and graph theory, a map is a subdivision of a surface such as the Euclidean plane into interior-disjoint regions,
formed by embedding a graph onto the surface and forming connected components (faces) of the complement of the graph.
That is, it is a tessellation of the surface. A map graph is a graph derived from a map by creating a vertex for each face and an edge for each pair of faces that meet at a vertex or edge of the embedded graph.
References
Topology
Graph theory objects |
https://en.wikipedia.org/wiki/Higman%E2%80%93Sims%20asymptotic%20formula | In finite group theory, the Higman–Sims asymptotic formula gives an asymptotic estimate on number of groups of prime power order.
Statement
Let be a (fixed) prime number. Define as the number of isomorphism classes of groups of order . Then:
Here, the big-O notation is with respect to , not with respect to (the constant under the big-O notation may depend on ).
References
group theory
Theorems in group theory |
https://en.wikipedia.org/wiki/Most%20Wanted%2C%20Volume%201 | Most Wanted, Volume 1 is a 1983 role-playing game supplement for Villains and Vigilantes published by Fantasy Games Unlimited.
Contents
Most Wanted, Volume 1 is a collection of game statistics for 30 supervillains, as well as 100 counters.
Reception
Steve Crow reviewed Most Wanted, Volume 1 in Space Gamer No. 70. Crow commented that "All in all, this book is a must for any V&V fan. Champions and Superworld referees might find it interesting for source material, but conversion is necessary. I consider it the most useful V&V supplement to date."
References
Role-playing game supplements introduced in 1983
Superhero role-playing game supplements
Villains and Vigilantes |
https://en.wikipedia.org/wiki/PG%283%2C2%29 | In finite geometry, PG(3,2) is the smallest three-dimensional projective space. It can be thought of as an extension of the Fano plane.
It has 15 points, 35 lines, and 15 planes. It also has the following properties:
Each point is contained in 7 lines and 7 planes
Each line is contained in 3 planes and contains 3 points
Each plane contains 7 points and 7 lines
Each plane is isomorphic to the Fano plane
Every pair of distinct planes intersect in a line
A line and a plane not containing the line intersect in exactly one point
Constructions
Construction from K6
Take a complete graph K6. It has 15 edges, 15 perfect matchings and 20 triangles. Create a point for each of the 15 edges, and a line for each of the 20 triangles and 15 matchings. The incidence structure between each triangle or matching (line) and its three constituent edges (points) induces a PG(3,2).
Construction from Fano planes
Take a Fano plane and apply all 5040 permutations of its 7 points. Discard duplicate planes to obtain a set of 30 distinct Fano planes. Pick any of the 30, and pick the 14 others that have exactly one line in common with the first, not 0 or 3. The incidence structure between the 1+14 = 15 Fano planes and the 35 triplets they mutually cover induces a PG(3,2).
Representations
Tetrahedral depiction
PG(3,2) can be represented as a tetrahedron. The 15 points correspond to the 4 vertices + 6 edge-midpoints + 4 face-centers + 1 body-center. The 35 lines correspond to the 6 edges + 12 face-medians + 4 face-incircles + 4 altitudes from a face to the opposite vertex + 3 lines connecting the midpoints of opposite edges + 6 ellipses connecting each edge midpoint with its two non-neighboring face centers. The 15 planes consist of the 4 faces + the 6 "medial" planes connecting each edge to the midpoint of the opposite edge + 4 "cones" connecting each vertex to the incircle of the opposite face + one "sphere" with the 6 edge centers and the body center. This was described by Burkhard Polster. The tetrahedral depiction has the same structure as the visual representation of the multiplication table for the sedenions.
Square representation
PG(3,2) can be represented as a square. The 15 points are assigned 4-bit binary coordinates from 0001 to 1111, augmented with a point labeled 0000, and arranged in a 4x4 grid. Lines correspond to the equivalence classes of sets of four vertices that XOR together to 0000. With certain arrangements of the vertices in the 4x4 grid, such as the "natural" row-major ordering or the Karnaugh map ordering, the lines form symmetric sub-structures like rows, columns, transversals, or rectangles, as seen in the figure. (There are 20160 such orderings, as seen below in the section on Automorphisms.) This representation is possible because geometrically the 35 lines are represented as a bijection with the 35 ways to partition a 4x4 affine space into 4 parallel planes of 4 cells each. This was described by Steven H. Cullinane.
Doily depicti |
https://en.wikipedia.org/wiki/List%20of%20Perth%20Scorchers%20records%20and%20statistics | This is a list of Perth Scorchers records and statistics in the Big Bash League, an Australian cricket series.
Records
Team records
Result summary v. opponent
Batting records
Most runs
Bowling records
Partnerships
References
Perth Scorchers (WBBL) |
https://en.wikipedia.org/wiki/Ruzsa%E2%80%93Szemer%C3%A9di%20problem | In combinatorial mathematics and extremal graph theory, the Ruzsa–Szemerédi problem or (6,3)-problem asks for the maximum number of edges in a
graph in which every edge belongs to a unique triangle.
Equivalently it asks for the maximum number of edges in a balanced bipartite graph whose edges can be partitioned into a linear number of induced matchings, or the maximum number of triples one can choose from points so that every six points contain at most two triples. The problem is named after Imre Z. Ruzsa and Endre Szemerédi, who first proved that its answer is smaller than by a slowly-growing (but still unknown) factor.
Equivalence between formulations
The following questions all have answers that are asymptotically equivalent: they differ by, at most, constant factors from each other.
What is the maximum possible number of edges in a graph with vertices in which every edge belongs to a unique triangle? The graphs with this property are called locally linear graphs or locally matching graphs.
What is the maximum possible number of edges in a bipartite graph with vertices on each side of its bipartition, whose edges can be partitioned into induced subgraphs that are each matchings?
What is the largest possible number of triples of points that one can select from given points, in such a way that every six points contain at most two of the selected triples?
The Ruzsa–Szemerédi problem asks for the answer to these equivalent questions.
To convert the bipartite graph induced matching problem into the unique triangle problem, add a third set of vertices to the graph, one for each induced matching, and add edges from vertices and of the bipartite graph to vertex in this third set whenever
bipartite edge belongs to induced matching .
The result is a balanced tripartite graph with vertices and the unique triangle property. In the other direction, an arbitrary graph with the unique triangle property can be made into a balanced tripartite graph by choosing a partition of the vertices into three equal sets randomly and keeping only the triangles that respect the partition. This will retain (in expectation) a constant fraction of the triangles and edges. A balanced tripartite graph with the unique triangle property can be made into a partitioned bipartite graph by removing one of its three subsets of vertices, and making an induced matching on the neighbors of each removed vertex.
To convert a graph with a unique triangle per edge into a triple system,
let the triples be the triangles of the graph. No six points can include three triangles without either two of the three triangles sharing an edge or all three triangles forming a fourth triangle that shares an edge with each of them.
In the other direction, to convert a triple system into a graph, first eliminate any sets of four points that contain two triples. These four points cannot participate in any other triples, and so cannot contribute towards a more-than-linear total number of triple |
https://en.wikipedia.org/wiki/Yifeng%20Liu | Yifeng Liu (born July 19, 1985 in Shanghai, China) is a Chinese professor of mathematics at Zhejiang University specializing in number theory, automorphic forms and arithmetic geometry.
Career
Liu received his BS Degree from Peking University in 2007 and PhD degree from Columbia University, New York, in 2012 under the direction of Shou-Wu Zhang. He was a C.L.E. Moore Instructor at MIT from 2012 to 2015 and an assistant professor at Northwestern University from 2015 to 2018 before being appointed an associate professor at Yale University. Liu returned to China in 2021 to join Zheijiang University became a full professor of mathematics.
Liu has made important contributions to arithmetic geometry and number theory. His contributions span a wide spectrum of topics such as arithmetic theta lifts and derivatives of L-functions, the Gan–Gross–Prasad conjecture and its arithmetic counterpart, the Beilinson–Bloch–Kato conjecture, the geometric Langlands program, the p-adic Waldspurger theorem, and the study of étale cohomology on Artin stacks.
Awards
He received a Sloan Research Fellowship in 2017.
He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Jack Thorne.
References
External links
Yifeng Liu's personal homepage
1985 births
Living people
Mathematicians from Shanghai
21st-century Chinese mathematicians
Peking University alumni
Columbia University alumni
Massachusetts Institute of Technology School of Science faculty
Northwestern University faculty
Yale University faculty
Chinese emigrants to the United States
Educators from Shanghai
Arithmetic geometers
Sloan Research Fellows |
https://en.wikipedia.org/wiki/W.%20G.%20Brown | William G. Brown is a Canadian mathematician specializing in graph theory. He is a professor emeritus of mathematics at McGill University.
Education and career
Brown earned his Ph.D. from the University of Toronto in 1963, under the joint supervision of Harold Scott MacDonald Coxeter and W. T. Tutte. His dissertation was Enumeration Problems Of Linear Graph Theory (Problems in the Enumeration of Maps).
In 1968, he moved to McGill from the University of British Columbia as an associate professor.
Contributions
Brown's dissertation research concerned graph enumeration, and his early publications continued in that direction. However, much of his later work was in extremal graph theory. He is known for formulating the Ruzsa–Szemerédi problem on the density of systems of triples in which no six points contain more than two triples in joint work with Paul Erdős and Vera T. Sós, and for his constructions of dense -free graphs in connection with the Zarankiewicz problem.
Selected publications
References
External links
Home page
Year of birth missing (living people)
Living people
Canadian mathematicians
Graph theorists
University of Toronto
Academic staff of the University of British Columbia Faculty of Science
Academic staff of McGill University |
https://en.wikipedia.org/wiki/Salem%E2%80%93Spencer%20set | In mathematics, and in particular in arithmetic combinatorics, a Salem-Spencer set is a set of numbers no three of which form an arithmetic progression. Salem–Spencer sets are also called 3-AP-free sequences or progression-free sets. They have also been called non-averaging sets, but this term has also been used to denote a set of integers none of which can be obtained as the average of any subset of the other numbers. Salem-Spencer sets are named after Raphaël Salem and Donald C. Spencer, who showed in 1942 that Salem–Spencer sets can have nearly-linear size. However a later theorem of Klaus Roth shows that the size is always less than linear.
Examples
For the smallest values of such that the numbers from to have a -element Salem-Spencer set are
1, 2, 4, 5, 9, 11, 13, 14, 20, 24, 26, 30, 32, 36, ...
For instance, among the numbers from 1 to 14, the eight numbers
{1, 2, 4, 5, 10, 11, 13, 14}
form the unique largest Salem-Spencer set.
This example is shifted by adding one to the elements of an infinite Salem–Spencer set, the Stanley sequence
0, 1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 31, 36, 37, 39, 40, ...
of numbers that, when written as a ternary number, use only the digits 0 and 1. This sequence is the lexicographically first infinite Salem–Spencer set. Another infinite Salem–Spencer set is given by the cubes
0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, ...
It is a theorem of Leonhard Euler that no three cubes are in arithmetic progression.
Size
In 1942, Salem and Spencer published a proof that the integers in the range from to have large Salem–Spencer sets, of size . The denominator of this expression uses big O notation, and grows more slowly than any power of , so the sets found by Salem and Spencer have a size that is nearly linear. This bound disproved a conjecture of Paul Erdős and Pál Turán that the size of such a set could be at most for some .
The construction of Salem and Spencer was improved by Felix Behrend in 1946, who found sets of size .
In 1952, Klaus Roth proved Roth's theorem establishing that the size of a Salem-Spencer set must be . Therefore, although the sets constructed by Salem, Spencer, and Behrend have sizes that are nearly linear, it is not possible to improve them and find sets whose size is actually linear. This result became a special case of Szemerédi's theorem on the density of sets of integers that avoid longer arithmetic progressions. To distinguish Roth's bound on Salem–Spencer sets from Roth's theorem on Diophantine approximation of algebraic numbers, this result has been called Roth's theorem on arithmetic progressions. After several additional improvements to Roth's theorem, the size of a Salem–Spencer set has been proven to be . An even better bound of (for some that has not been explicitly computed) was announced in 2020 but has not yet been refereed and published. In 2023 a new bound of was found and four days later the result was simplified with a little improvement to , these results |
https://en.wikipedia.org/wiki/Marshall%20E.%20Blume | Marshall Edward Blume (31 March 1941 – 27 January 2019) was an American economist.
Blume studied mathematics at Trinity College and pursued postgraduate study in finance at the University of Chicago, where he completed a master's degree and doctorate. Blume was chief editor of the Journal of Finance from 1977 to 1980, and also served as editor of the Journal of Financial Economics, The Journal of Portfolio Management, and The Journal of Fixed Income. He co-founded Prudent Management Associates in 1982. Blume taught at the Wharton School of the University of Pennsylvania for 44 years. While on the faculty, he created Wharton's Online Trading and Investment Simulator and the Wharton Securities Exchange. He was appointed Howard Butcher Professor of Finance, and granted emeritus status upon retirement in 2010. In 2011, the Rodney L. White Center for Financial Research, where Blume had served as director since 1986, began awarding the Marshall Blume Prizes in Financial Research in his honor. Blume died in Easton, Maryland, on 27 January 2019.
References
1941 births
2019 deaths
20th-century American economists
21st-century American economists
The Journal of Finance editors
University of Chicago alumni
Trinity College (Connecticut) alumni
University of Pennsylvania faculty |
https://en.wikipedia.org/wiki/Lyusternik%E2%80%93Fet%20theorem | In mathematics, the Lyusternik–Fet theorem states that on every compact Riemannian manifold there exists a closed geodesic. It is named after Lazar Lyusternik and Abram Ilyich Fet.
References
https://www.encyclopediaofmath.org/index.php/Closed_geodesic
L.A. Lyusternik, A.I. Fet, "Variational problems on closed manifolds" Dokl. Akad. Nauk. SSSR, 81 (1951) pp. 17–18 (In Russian)
Differential geometry
Geodesic (mathematics) |
https://en.wikipedia.org/wiki/Confirmatory%20composite%20analysis | In statistics, confirmatory composite analysis (CCA) is a sub-type of structural equation modeling (SEM).
Although, historically, CCA emerged from a re-orientation and re-start of partial least squares path modeling (PLS-PM),
it has become an independent approach and the two should not be confused.
In many ways it is similar to, but also quite distinct from confirmatory factor analysis (CFA).
It shares with CFA the process of model specification, model identification, model estimation, and model assessment.
However, in contrast to CFA which always assumes the existence of latent variables, in CCA all variables can be observable, with their interrelationships expressed in terms of composites, i.e., linear compounds of subsets of the variables.
The composites are treated as the fundamental objects and path diagrams can be used to illustrate their relationships.
This makes CCA particularly useful for disciplines examining theoretical concepts that are designed to attain certain goals, so-called artifacts, and their interplay with theoretical concepts of behavioral sciences.
Development
The initial idea of CCA was sketched by Theo K. Dijkstra and Jörg Henseler in 2014.
The scholarly publishing process took its time until the first full description of CCA was published by Florian Schuberth, Jörg Henseler and Theo K. Dijkstra in 2018.
As common for statistical developments, interim developments of CCA were shared with the scientific community in written form.
Moreover, CCA was presented at several conferences including the 5th Modern Modeling Methods Conference, the 2nd International Symposium on Partial Least Squares Path Modeling, the 5th CIM Community Workshop, and the Meeting of the SEM Working Group in 2018.
Statistical model
A composite is typically a linear combination of observable random variables. However, also so-called second-order composites as linear combinations of latent variables and composites, respectively, are conceivable.
For a random column vector of observable variables that is partitioned into sub-vectors , composites can be defined as weighted linear combinations.
So the i-th composite equals:
,
where the weights of each composite are appropriately normalized (see Confirmatory composite analysis#Model identification).
In the following, it is assumed that the weights are scaled in such a way that each composite has a variance of one, i.e., .
Moreover, it is assumed that the observable random variables are standardized having a mean of zero and a unit variance.
Generally, the variance-covariance matrices of the sub-vectors are not constrained beyond being positive definite.
Similar to the latent variables of a factor model, the composites explain the covariances between the sub-vectors leading to the following inter-block covariance matrix:
,
where is the correlation between the composites and .
The composite model imposes rank one constraints on the inter-block covariance matrices , i.e., .
Generally, the |
https://en.wikipedia.org/wiki/Tam%C3%A1s%20G%C3%A9ringer | Tamás Géringer (born 19 May 1999) is a Hungarian professional footballer who plays for Balatonfüredi FC. He has a twin brother who is also a footballer, László.
Club statistics
Updated to games played as of 11 May 2019.
References
External links
1999 births
Living people
Footballers from Budapest
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football defenders
Diósgyőri VTK players
Kazincbarcikai SC footballers
Budapesti VSC footballers
Balassagyarmati VSE footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/Guilherme%20Lazaroni | Guilherme Henrique dos Reis Lazaroni (born 18 November 1992), commonly known as Guilherme Lazaroni, is a Brazilian footballer who plays as a left back for Novorizontino.
Career statistics
Club
Notes
References
External links
1992 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football midfielders
Figueirense FC players
Tombense Futebol Clube players
Fortaleza Esporte Clube players
Portimonense S.C. players
Clube Atlético Linense players
Red Bull Bragantino II players
Sport Club do Recife players
Campeonato Brasileiro Série A players
Liga Portugal 2 players
Campeonato Brasileiro Série B players
Primeira Liga players
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Harold%20Weitzner | Harold Weitzner is an American applied mathematician and physicist whose primary research is plasma physics. He is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences and has served as Director of the Magneto-Fluid Dynamics Division at Courant since 1981, succeeding Harold Grad. He has published over 120 research articles on the topics of plasma physics, magnetohydrodynamics, fluid mechanics, fractional equations and kinetics, and chaos.
Professor Weitzner received his Ph.D. in 1958 from Harvard University on the topic of "Hyperon-Nucleon Interactions".
In 1981 he was elected a Fellow of the American Physical Society.
Selected publications
Weitzner, Harold. "Green's function for the linearized Vlasov equation." The Physics of Fluids 5.8 (1962): 933–946.
Cumberbatch, E., L. Sarason, and H. Weitzner. "Magnetohydrodynamic flow past a thin airfoil." AIAA Journal 1.3 (1963): 679–690.
Weitzner, Harold. "Plasma oscillations and Landau damping." The Physics of Fluids 6.8 (1963): 1123–1127.
Weitzner, Harold. "Green's Function for the Linearized One‐Dimensional Krook Equation with Electric Forces." The Physics of Fluids 6.4 (1963): 484–490.
Weitzner, Harold. "Long-Wavelength Plasma Oscillations." Physics of Fluids 7 (1964): 476–477.
Weitzner, Harold. "Radiation from a Point Source in a Plasma." The Physics of Fluids 7.1 (1964): 72–89.
Weitzner, Harold. "Exponential damping of collisionless plasma oscillations." Communications on Pure and Applied Mathematics 18.1‐2 (1965): 307–311.
Weitzner, Harold. "Extension of the Penrose Condition." The Physics of Fluids 9.3 (1966): 624–626.
Weitzner, Harold, "Longitudinal Plasma Oscillations" in Magneto-fluid and plasma dynamics, Proceedings of a Symposium in Applied Mathematics, & American Mathematical Society (AMS, 1967)
Weitzner, H., and D. Dobrott. "Ion waves in a collisionless plasma." The Physics of Fluids 11.1 (1968): 152–157.
Blank, A. A., H. Grad, and H. Weitzner. "Toroidal High-β Equilibria." Plasma Physics and Controlled Nuclear Fusion Research. Proceedings of the Third International Conference on Plasma Physics and Controlled Nuclear Fusion Research. Vol. II. 1969.
Grad, Harold, and Harold Weitzner. "Critical β from Stellarator and Scyllac Expansions." The Physics of Fluids 12.8 (1969): 1725–1727.
Marder, B., and H. Weitzner. "A bifurcation problem in E-layer equilibria." Plasma Physics 12.6 (1970): 435.
Weitzner, Harold. "Free boundary long helical wavelength equilibria." The Physics of Fluids 14.3 (1971): 658–670.
Weitzner, Harold. "Growth rates and spectra for a particular axially symmetric equilibrium." The Physics of Fluids 16.2 (1973): 237–246.
Freidberg, J. P., B. M. Marder, and H. Weitzner. "Stability of diffuse high-beta helical systems." Nuclear Fusion 14.6 (1974): 809.
Freidberg, and H. Weitzner. "Endloss from a linear θ-pinch." Nuclear Fusion 15.2 (1975): 217.
Weitzner, Harold. "Comparison of unstable modes and growth rates in ideal magnet |
https://en.wikipedia.org/wiki/EP%20matrix | In mathematics, an EP matrix (or range-Hermitian matrix or RPN matrix) is a square matrix A whose range is equal to the range of its conjugate transpose A*. Another equivalent characterization of EP matrices is that the range of A is orthogonal to the nullspace of A. Thus, EP matrices are also known as RPN (Range Perpendicular to Nullspace) matrices.
EP matrices were introduced in 1950 by Hans Schwerdtfeger, and since then, many equivalent characterizations of EP matrices have been investigated through the literature. The meaning of the EP abbreviation stands originally for Equal Principal, but it is widely believed that it stands for Equal Projectors instead, since an equivalent characterization of EP matrices is based in terms of equality of the projectors AA+ and A+A.
The range of any matrix A is perpendicular to the null-space of A*, but is not necessarily perpendicular to the null-space of A. When A is an EP matrix, the range of A is precisely perpendicular to the null-space of A.
Properties
An equivalent characterization of an EP matrix A is that A commutes with its Moore-Penrose inverse, that is, the projectors AA+ and A+A are equal. This is similar to the characterization of normal matrices where A commutes with its conjugate transpose. As a corollary, nonsingular matrices are always EP matrices.
The sum of EP matrices Ai is an EP matrix if the null-space of the sum is contained in the null-space of each matrix Ai.
To be an EP matrix is a necessary condition for normality: A is normal if and only if A is EP matrix and AA*A2 = A2A*A.
When A is an EP matrix, the Moore-Penrose inverse of A is equal to the group inverse of A.
A is an EP matrix if and only if the Moore-Penrose inverse of A is an EP matrix.
Decomposition
The spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix.
Weakening the normality condition to EPness, a similar statement is still valid. Precisely, a matrix A of rank r is an EP matrix if and only if it is unitarily similar to a core-nilpotent matrix, that is,
where U is an orthogonal matrix and C is an r x r nonsingular matrix. Note that if A is full rank, then A = UCU*.
References
Matrices |
https://en.wikipedia.org/wiki/Arnold%20Mathematical%20Journal | The Arnold Mathematical Journal is a quarterly peer-reviewed mathematics journal established in 2014. It is organized jointly by the Institute for Mathematical Sciences at Stony Brook University, USA, and Springer Science+Business Media. The editor-in-chief is Askold Khovanskii. The journal is abstracted and indexed in ZbMATH and Scopus.
External links
References
Springer Science+Business Media academic journals
English-language journals
Academic journals established in 2015
Mathematics journals
Quarterly journals |
https://en.wikipedia.org/wiki/Charles%20Teiko%20Folley | Charles Teiko Folley (born 1 November 1991) is a Ghanaian footballer who currently plays as a forward.
Career statistics
Club
Notes
References
1991 births
Living people
Ghanaian men's footballers
Ghanaian expatriate men's footballers
Men's association football forwards
I-League players
Ittihad Al-Zarqa SC players
Gönyeli S.K. players
Aswan SC players
Expatriate men's footballers in Tajikistan
Expatriate men's footballers in Jordan
Expatriate men's footballers in Egypt
Ghanaian expatriate sportspeople in Egypt
Expatriate men's footballers in Northern Cyprus
Ghanaian expatriate sportspeople in Northern Cyprus
Expatriate men's footballers in India
Ghanaian expatriate sportspeople in India |
https://en.wikipedia.org/wiki/Am%C3%A9lie%20Quesnel-Vall%C3%A9e | Amélie Quesnel-Vallée is a professor with joint appointment in the Departments of Sociology and of Epidemiology, Biostatistics and Occupational Health, as well as Canada Research Chair in Policies and Health Inequalities at McGill University in Montreal, Quebec, Canada.
Academic training
She obtained a Master of Science (M.Sc.) from Université de Montréal in 2000, followed by a Doctor of Philosophy (Ph.D.) from Duke University in 2004. She then completed post-doctoral training in social epidemiology.
Academic career
She is currently Professor with joint appointments in the Department of Epidemiology, Biostatistics and Occupational Health of the Faculty of Medicine, as well as in the Department of Sociology of the Faculty of Arts at McGill University.
Apart from academic teaching, she is Director of the McGill Observatory on Health and Social Services Reforms in addition to being the Canada Research Chair in Policies and Health Inequalities. She is also a founding member of the Centre on Population Dynamics at McGill.
Amélie Quesnel-Vallée also co-authored numerous texts, including Le privé dans la santé : Les discours et les faits discussing the public healthcare system in Quebec.
Her occasional columns can be read from various blogs and Canadian news sources.
Research
Her research mostly focuses on social inequalities in health.
Awards and honours
Population Association of America Dorothy Thomas Award
American Sociological Association Dissertation Award
References
Living people
Year of birth missing (living people)
Université de Montréal alumni
Duke University alumni
Academic staff of McGill University
21st-century Canadian scientists
21st-century Canadian women scientists
Canadian women epidemiologists |
https://en.wikipedia.org/wiki/Gilles%20Paradis | Gilles Paradis is a consultant physician at the Institut national de santé publique du Québec, professor in the Department of Epidemiology, Biostatistics, and Occupational Health, and Strathcona Chair in Epidemiology at McGill University in Montreal, Quebec, Canada.
Biography
He obtained his Doctor of Medicine at Université de Montréal and subsequently pursued residency training in family medicine at Hôpital du Sacré-Coeur de Montréal and at the Montreal General Hospital within the McGill University Health Centre (MUHC). He went on to earn a Master of Science in epidemiology and completed further residency training in the specialized field of public health and preventive medicine at McGill University within the MUHC. He completed a two-year fellowship at Stanford University in the Center for Disease Prevention Research. His Royal College of Physicians and Surgeons of Canada fellowship certification in Public Health and Preventive Medicine was issued in November 1987.
In 1989, he returned to Montreal and began practicing public health, initially at the Direction de santé publique de Montréal, and then from 2005 onwards, at the Institut national de santé publique du Québec.
In 2012, he was appointed Chair of the Department of Epidemiology, Biostatistics, and Occupational Health at McGill University, in addition to becoming to the holder of the Strathcona Chair in Epidemiology.
Research
His research mostly focuses on the epidemiology of chronic cardiovascular diseases amongst children and adolescents.
References
Living people
Year of birth missing (living people)
Academic staff of McGill University
McGill University alumni
Université de Montréal alumni
Stanford University alumni |
https://en.wikipedia.org/wiki/List%20of%20European%20regions%20by%20fertility%20rate | This is a list of European regions (NUTS2 regions) sorted by total fertility rate. Eurostat calculates the fertility rate based on the information provided by national statistics Institutes affiliated to Eurostat. The list presents statistics for the years 2005 to 2018 from EUROSTAT, as of May 2020.
2005 to 2018 list
References
Fertility
Demographic lists
Fertility rate |
https://en.wikipedia.org/wiki/Elaine%20Koppelman | Elaine H. Koppelman Eugster (March 28, 1937 – January 11, 2019) was an American mathematician. She was the James Beall Professor of Mathematics at Goucher College.
Early life and education
Koppelman was born on March 28, 1937, in Brooklyn, New York. She had two brothers. At the age of 16, Koppelman graduated from high school. She earned a bachelor's degree in mathematics with a minor in physics from Brooklyn College. Koppelman completed a Master of Arts and an all but dissertation in mathematics at Yale University. For two years, she conducted doctoral research on a mathematical problem before uncovering that an obscure mathematics journal in Poland had already published the solution.
Career and education
In 1961, Koppelman was hired as a teacher at Goucher College with the contingency that she complete her thesis. She attempted to do so for 2 years before giving up. At the suggestion of her husband Hans P. Eugster, Koppelman completed a doctorate in the history of science at Johns Hopkins University in 1969. Her dissertation was titled Calculus of operations: French influence on British mathematics in the first half of the nineteenth century. Koppelman completed the dissertation with her doctoral advisor was Harry Woolf and Carl Benjamin Boyer of Brooklyn College. Koppelman was the James Beall Professor of Mathematics at Goucher College. In 1987, she earned a master's degree in electrical engineering and computer science from Johns Hopkins University. She worked as a field assistant for her husband who was a geologist which took her around the globe. After Eugster's death in 1987, Koppelman volunteered for the Peace Corps and taught data processing in Seychelles. She returned to Goucher where she retired in 2001.
Personal life
Koppelman was married to geologist Hans P. Eugster. They resided in Maryland and purchased a home in Martha's Vineyard in 1984. Eugster died suddenly in 1987. She established the Hans Eugster Research Fund at Johns Hopkins University. Koppelman served on the board or as a volunteer and patron at Martha's Vineyard Cancer Support Group, Hospice of Martha's Vineyard, Friends of the Vineyard Haven Library, the Committee on Hunger, Martha's Vineyard Chamber Music Society, Polly Hill Arboretum, Vineyard Playhouse, and the Yard. Koppelman died on January 11, 2019. She was survived by 3 stepdaughters and 7 step-grandchildren. A memorial service was held in Martha's Vineyard Hebrew Center.
See also
List of women in mathematics
Timeline of women in mathematics in the United States
References
1937 births
2019 deaths
Academics from Brooklyn
Brooklyn College alumni
Yale University alumni
Goucher College faculty and staff
Johns Hopkins University alumni
20th-century American mathematicians
20th-century women mathematicians
American women mathematicians
Jewish women scientists
20th-century American women scientists
21st-century American women |
https://en.wikipedia.org/wiki/David%20Zalzman | David Alejandro Zalzman Guevara (born March 4, 1996) is a Venezuelan footballer who plays as a midfielder for Monagas in the Venezuelan Primera División.
Career statistics
Club
Notes
References
External links
David Zalzman at the University of Memphis
1996 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Venezuelan expatriate men's footballers
Men's association football midfielders
FC Barcelona players
Deportivo Anzoátegui players
Memphis Tigers men's soccer players
OKC Energy FC players
Des Moines Menace players
Memphis City FC players
Portland Timbers draft picks
Deportivo Táchira F.C. players
Venezuelan Primera División players
Venezuelan expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Venezuelan expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Sportspeople from Maracay
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Ebenezer%20Ackon | Ebenezer "Eby" Ackon (born 2 December 1996) is a Ghanaian footballer who plays as a defender.
Career statistics
Club
Notes
References
External links
Ebenezer Ackon at the Bowling Green State University
1996 births
Living people
Ghanaian men's footballers
Ghanaian expatriate men's footballers
Men's association football defenders
Bowling Green Falcons men's soccer players
San Antonio FC players
San Diego Loyal SC players
Ghanaian expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Chicago Fire FC draft picks
USL Championship players
People from Cape Coast |
https://en.wikipedia.org/wiki/Filip%20Drag%C3%B3ner | Filip Dragóner (born 12 March 1998) is a Hungarian professional footballer who plays for Soroksár.
Club career
On 13 August 2021, Dragóner signed a two-year contract with Ajka.
Club statistics
Updated to games played as of 27 June 2020.
References
External links
1998 births
Footballers from Budapest
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football forwards
Nyíregyháza Spartacus FC players
Mezőkövesdi SE footballers
Szeged-Csanád Grosics Akadémia footballers
Zalaegerszegi TE players
Szombathelyi Haladás footballers
FC Ajka players
Soroksár SC players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/Floris%20Schaap | Floris Schaap (born 3 April 1965) is a Dutch former footballer and manager.
Career statistics
Club
Notes
Managerial
References
1965 births
Living people
Dutch men's footballers
Men's association football defenders
VV Katwijk players
S.C. Olhanense players
Portimonense S.C. players
S.C.U. Torreense players
S.C. Farense players
S.C. Braga players
Primeira Liga players
Liga Portugal 2 players
Segunda Divisão players
Dutch expatriate men's footballers
Dutch expatriate sportspeople in the United Arab Emirates
Dutch expatriate sportspeople in China
Dutch expatriate sportspeople in Thailand
Dutch expatriate sportspeople in Iran
Expatriate football managers in the United Arab Emirates
Expatriate football managers in China
Expatriate football managers in Thailand
Expatriate football managers in Iran
Dutch expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Footballers from Katwijk
Dutch football managers |
https://en.wikipedia.org/wiki/Aldona%20Ale%C5%A1kevi%C4%8Dien%C4%97-Statulevi%C4%8Dien%C4%97 | Aldona Džiugaitė-Aleškevičienė-Statulevičienė (1 January 1936 – 24 February 2017) was a Lithuanian mathematician who specialized in probability theory.
Biography
She graduated from Vilnius University as a Doctor of Physics and Mathematics in 1964 and worked at the Institute of Mathematics and Informatics until 2010.
She gained a second PhD from the Academy of Sciences of Uzbekistan.
She died in 2017 in Vilnius.
Scientific activity
Her most important work is on the limit theorems of probability theory, proven integral theorems of local and integral boundary theorems for Markov chains, large deviations of the sum of the sum of random sums, and the sum of random vector amounts. She had determined the random distribution of local time limit distributions and convergence rate estimates.
She was the chief researcher at the institute of mathematics and informatics at the Lithuanian Academy of Sciences from 1989 to 2010.
Awards
1987 Lithuanian State Prize
References
1936 births
2017 deaths
20th-century Lithuanian mathematicians
Women mathematicians
Probability theorists
Vilnius University alumni
21st-century Lithuanian mathematicians
People from Ukmergė District Municipality |
https://en.wikipedia.org/wiki/Weyr | Weyr may refer to:
Weyr, an entity in the fictional world of Pern
Eduard Weyr (1852–1903), Czech mathematician who worked in algebra
Emil Weyr (1848–1894), Austrian mathematician who worked in geometry
Rudolf Weyr (1847–1914), Austrian sculptor
See also
Weyr canonical form of a matrix, in algebra
Weir (disambiguation)
Weyr a group of dragons |
https://en.wikipedia.org/wiki/2019%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 2019 Cricket World Cup. Each list contains the top five records (including ties for fifth place), except for the partnership records.
Team statistics
Highest team totals
Lowest team totals
This is a list of completed innings only, low totals in matches with reduced overs are omitted except when the team was all out. Successful run chases in the second innings are not counted.
Largest winning margin
By runs
By wickets
By balls remaining
Smallest winning margin
By runs
Note: England won the final of the tournament based on the total number of boundaries scored, after the scores finished level in both the match and the resulting Super over.
By wickets
By balls remaining
Batting Statistics
Most runs
Highest scores
Most boundaries
Note: For Full list of Boundaries and Sixes hit see Boundary Trackers
Most ducks
11 players all had two ducks, with Nuwan Pradeep of Sri Lanka and Shoaib Malik of Pakistan doing so in the fewest total innings (three).
Bowling Statistics
Most wickets
Best bowling figures
Most maidens
Most dot balls
Hat-tricks
Fielding Statistics
Most dismissals
This is a list of wicket-keepers with the most dismissals in the tournament.
Most catches
This is a list of the fielders who took the most catches in the tournament; catches made as wicket-keeper are not included.
Other statistics
Group stage points table
Highest partnerships
The following tables are lists of the highest partnerships for the tournament.
By wicket
By runs
Tied match
2019 Cricket World cup saw the final match as the fifth tied match in the history of the tournament ensuring that this was the fifth world cup with a tied game (1999 Cricket World Cup – Semifinals between Australia and South Africa, 2003 Cricket World Cup – Group B match between South Africa and Sri Lanka, 2007 Cricket World Cup – Group D match between Ireland and Zimbabwe, and 2011 Cricket World Cup – Group B match between India and England). The tie-breaking super over was also tied, England won the match and title by superior boundary count.
References
External links
Official 2019 World Cup site
Cricket World Cup at icc-cricket.com
ESPN cricinfo
Cricket World Cup statistics
statistics |
https://en.wikipedia.org/wiki/Lucas%20Poli | Lucas Guimaraes Poli (born 11 November 1990) is a Brazilian footballer who currently plays as a midfielder for Pütürge Belediyespor.
Career statistics
Club
Notes
References
1990 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football midfielders
Operário Ferroviário Esporte Clube players
Ipatinga Futebol Clube players
Esporte Clube Tigres do Brasil players
Expatriate men's footballers in Northern Cyprus
Footballers from Rio de Janeiro (city) |
https://en.wikipedia.org/wiki/Marcos%20J%C3%BAnior%20%28footballer%2C%20born%201995%29 | Marcos Antônio Candido Ferreira Júnior (born 13 May 1995), commonly known as Marcos Júnior, is a Brazilian footballer who plays as a midfielder for Urartu.
Career
Career statistics
Club
Notes
References
1995 births
Living people
Brazilian men's footballers
Men's association football midfielders
Bangu Atlético Clube players
Bonsucesso Futebol Clube players
Volta Redonda FC players
América Futebol Clube (RN) players
ABC Futebol Clube players
Paysandu Sport Club players
CR Vasco da Gama players
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Footballers from Rio de Janeiro (city) |
https://en.wikipedia.org/wiki/Behrend%20sequence | In number theory, a Behrend sequence is an integer sequence whose multiples include almost all integers. The sequences are named after Felix Behrend.
Definition
If is a sequence of integers greater than one, and if denotes the set of positive integer multiples of members of , then is a Behrend sequence if has natural density one. This means that the proportion of the integers from 1 to that belong to converges, in the limit of large , to one.
Examples
The prime numbers form a Behrend sequence, because every integer greater than one is a multiple of a prime number. More generally, a subsequence of the prime numbers forms a Behrend sequence if and only if the sum of reciprocals of diverges.
The semiprimes, the products of two prime numbers, also form a Behrend sequence. The only integers that are not multiples of a semiprime are the prime powers. But as the prime powers have density zero, their complement, the multiples of the semiprimes, have density one.
History
The problem of characterizing these sequence was described as "very difficult" by Paul Erdős in 1979.
These sequences were named "Behrend sequences" in 1990 by Richard R. Hall, with a definition using logarithmic density in place of natural density. Hall chose their name in honor of Felix Behrend, who proved that for a Behrend sequence , the sum of reciprocals of must diverge. Later, Hall and Gérald Tenenbaum used natural density to define Behrend sequences in place of logarithmic density. This variation in definitions makes no difference in which sequences are Behrend sequences, because the Davenport–Erdős theorem shows that, for sets of multiples, having natural density one and having logarithmic density one are equivalent.
Derived sequences
When is a Behrend sequence, one may derive another Behrend sequence by omitting from any finite number of elements.
Every Behrend sequence may be decomposed into the disjoint union of infinitely many Behrend sequences.
References
Integer sequences |
https://en.wikipedia.org/wiki/Davenport%E2%80%93Erd%C5%91s%20theorem | In number theory, the Davenport–Erdős theorem states that, for sets of multiples of integers, several different notions of density are equivalent.
Let be a sequence of positive integers. Then the multiples of are another set that can be defined as the set of numbers formed by multiplying members of by arbitrary positive integers.
According to the Davenport–Erdős theorem, for a set , the following notions of density are equivalent, in the sense that they all produce the same number as each other for the density of :
The lower natural density, the inferior limit as goes to infinity of the proportion of members of in the interval .
The logarithmic density or multiplicative density, the weighted proportion of members of in the interval , again in the limit, where the weight of an element is .
The sequential density, defined as the limit (as goes to infinity) of the densities of the sets of multiples of the first elements of . As these sets can be decomposed into finitely many disjoint arithmetic progressions, their densities are well defined without resort to limits.
However, there exist sequences and their sets of multiples for which the upper natural density (taken using the superior limit in place of the inferior limit) differs from the lower density, and for which the natural density itself (the limit of the same sequence of values) does not exist.
The theorem is named after Harold Davenport and Paul Erdős, who published it in 1936. Their original proof used the Hardy–Littlewood tauberian theorem; later, they published another, elementary proof.
See also
Behrend sequence, a sequence for which the density described by this theorem is one
References
Theorems in number theory |
https://en.wikipedia.org/wiki/Stephen%20Drury%20%28mathematician%29 | Stephen William Drury is a Anglo-Canadian mathematician and professor of mathematics at McGill University. He specializes in mathematical analysis, harmonic analysis and linear algebra. He received his doctorate from the University of Cambridge in 1970 under the supervision of Nicholas Varopoulos and completed his postdoctoral training at the Faculté des sciences d'Orsay, France. He was recruited to McGill by Professor Carl Herz in 1972.
Among other contributions, he solved the Sidon set union problem, worked on restrictions of Fourier and Radon transforms to curves, and generalized von Neumann's inequality. In operator theory, the Drury–Arveson space is named after William Arveson and him.
His research now pertains to the interplay between matrix theory and harmonic analysis and their applications to graph theory.
References
Year of birth missing (living people)
Living people
20th-century Canadian mathematicians
21st-century Canadian mathematicians
Academic staff of McGill University
Mathematical analysts
Alumni of the University of Cambridge
20th-century British mathematicians
British emigrants to Canada
21st-century British mathematicians |
https://en.wikipedia.org/wiki/Alon%20Orlitsky | Alon Orlitsky is an information theorist and the Qualcomm Professor for Information Theory and its Applications at University of California, San Diego. He received a BSc in Mathematics and Electrical Engineering from Ben Gurion University in 1981, and a PhD in Electrical Engineering from Stanford University in 1986. He was a member of Bell Labs from 1986 to 1996, and worked for D. E. Shaw from 1996 to 1997. He joined UCSD in 1997.
He is known for his contribution to the fields of communication complexity, source coding, and more recently in probability estimation. He is a recipient of the IEEE W.R.G. Baker Award in 1992, the IEEE Information Theory Society paper award in 2006, a best paper award at NeurIPS in 2015, and a best paper honorable mention at International Conference on Machine Learning in 2017, and the 2021 Claude E. Shannon Award of IEEE Information Theory Society.
References
Living people
Year of birth missing (living people)
American information theorists
University of California, San Diego faculty |
https://en.wikipedia.org/wiki/Amplitwist | In mathematics, the amplitwist is a concept created by Tristan Needham in the book Visual Complex Analysis (1997) to represent the derivative of a complex function visually.
Definition
The amplitwist associated with a given function is its derivative in the complex plane. More formally, it is a complex number such that in an infinitesimally small neighborhood of a point in the complex plane, for an infinitesimally small vector . The complex number is defined to be the derivative of at .
Uses
The concept of an amplitwist is used primarily in complex analysis to offer a way of visualizing the derivative of a complex-valued function as a local amplification and twist of vectors at a point in the complex plane.
Examples
Define the function . Consider the derivative of the function at the point . Since the derivative of is , we can say that for an infinitesimal vector at , .
References
Functions and mappings
Complex analysis |
https://en.wikipedia.org/wiki/Sudoku%20graph | In the mathematics of Sudoku, the Sudoku graph is an undirected graph whose vertices represent the cells of a (blank) Sudoku puzzle and whose edges represent pairs of cells that belong to the same row, column, or block of the puzzle. The problem of solving a Sudoku puzzle can be represented as precoloring extension on this graph. It is an integral Cayley graph.
Basic properties and examples
On a Sudoku board of size , the Sudoku graph has vertices, each with exactly neighbors. Therefore, it is a regular graph. The total number of edges is .
For instance, the graph shown in the figure above, for a board, has 16 vertices and 56 edges, and is 7-regular.
For the most common form of Sudoku, on a board, the Sudoku graph is a 20-regular graph with 81 vertices and 810 edges.
The second figure shows how to count the neighbors of each cell in a board.
Puzzle solutions and graph coloring
Each row, column, or block of the Sudoku puzzle forms a clique in the Sudoku graph, whose size equals the number of symbols used to solve the puzzle. A graph coloring of the Sudoku graph using this number of colors (the minimum possible number of colors for this graph) can be interpreted as a solution to the puzzle. The usual form of a Sudoku puzzle, in which some cells are filled in with symbols and the rest must be filled in by the person solving the puzzle, corresponds to the precoloring extension problem on this graph.
Algebraic properties
For any , the Sudoku graph of an Sudoku board is an integral graph, meaning that the spectrum of its adjacency matrix consists only of integers. More precisely, its spectrum consists of the eigenvalues
, with multiplicity ,
, with multiplicity ,
, with multiplicity ,
, with multiplicity ,
, with multiplicity , and
, with multiplicity .
It can be represented as a Cayley graph of the abelian group .
Related graphs
The Sudoku graph contains as a subgraph the rook's graph, which is defined in the same way using only the rows and columns (but not the blocks) of the Sudoku board.
The 20-regular 81-vertex Sudoku graph should be distinguished from a different 20-regular graph on 81 vertices, the Brouwer–Haemers graph, which has smaller cliques (of size 3) and requires fewer colors (7 instead of 9).
References
Application-specific graphs
Parametric families of graphs
Regular graphs
Sudoku |
https://en.wikipedia.org/wiki/Matt%20Gibbon | Matt Gibbon (born 3 June 1995) is an Australian rugby union player who plays for the in the Super Rugby competition. His position of choice is prop.
Super Rugby statistics
References
External links
Australian rugby union players
1995 births
Living people
Place of birth missing (living people)
Melbourne Rebels players
Greater Sydney Rams players
New South Wales Country Eagles players
Melbourne Rising players
Rugby union players from New South Wales
Rugby union props
Australia international rugby union players |
https://en.wikipedia.org/wiki/Maysalun%20Hadi | Maysalun Hadi (born 1954) is an Iraqi writer. She was born in the Adhamiyah district of Baghdad and studied statistics at Baghdad University. As a writer, she has published numerous books and articles, spanning a wide range of genres. Her novel Prophecy of Pharaoh won the Bashraheel prize for best Arabic novel and was translated into English by Angham Altamimi. Another novel A Light Pink Dream was made into a film, while Throne and Stream has been translated into English and French. Her most recent work Mohammed's Brothers by Al-Thakera Publishing House was nominated for the Arabic Booker Prize.
Hadi lives in Baghdad.
References
Iraqi writers
1954 births
Living people
Iraqi children's writers
Date of birth missing (living people) |
https://en.wikipedia.org/wiki/KK%20Cedevita%20in%20European%20competitions | KK Cedevita history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
Record
KK Cedevita has overall, from 2007–08 (first participation) to 2018–19 (last participation): 59 wins against 89 defeats in 148 games for all the European club competitions.
1st-tier: EuroLeague: 13–31 (44)
2nd-tier: EuroCup: 44–51 (95)
3rd-tier: FIBA EuroChallenge: 4–6 (10)
External links
KK Cedevita at FIBA
KK Cedevita at EuroCup Basketball
KK Cedevita |
https://en.wikipedia.org/wiki/Samuel%20Greenhouse | Samuel W. Greenhouse (January 13, 1918 – September 29, 2000) was an American statistician who helped to pioneer the use of statistics in epidemiology. With Seymour Geisser, he developed the Greenhouse–Geisser correction, which is now widely used in the analysis of variance to correct for violations of the assumption of compound symmetry.
Academic career
Greenhouse was one of several founding statisticians at the National Institutes of Health (NIH), where, with Jerome Cornfield, Jacob Lieberman, Nathan Mantel, and Marvin Schneiderman, he co-founded the first biometry group in the National Cancer Institute in 1948. In 1954, Greenhouse became head of the theoretical statistics and applied mathematics section at the National Institute of Mental Health. He became chief of the National Institute of Child Health and Human Development's epidemiology and biometry branch in 1966, and continued to work there until 1974, when he joined the faculty of George Washington University (GWU). He chaired the GWU department of statistics twice: in 1976–1979 and in 1985–1986. He retired from the GWU faculty in 1988, whereupon he was named an emeritus professor there.
Honors and awards
Greenhouse was a fellow of the American Statistical Association, the Institute of Mathematical Statistics, the American Association for the Advancement of Science, and the Royal Statistical Society. He was also an elected member of the International Statistical Institute, a fellow of the American College of Epidemiology, and a fellow of the American Heart Association's Council of Epidemiology.
References
Further reading
1918 births
2000 deaths
American statisticians
Biostatisticians
Fellows of the American Statistical Association
Scientists from New York City
National Institutes of Health faculty
City College of New York alumni
Columbian College of Arts and Sciences alumni
George Washington University faculty
American epidemiologists
Fellows of the Institute of Mathematical Statistics
Fellows of the American Association for the Advancement of Science
Fellows of the Royal Statistical Society
Elected Members of the International Statistical Institute
Deaths from cancer in Maryland |
https://en.wikipedia.org/wiki/Susan%20Jane%20Colley | Susan Jane Colley (née Morris, born 1959) is an American mathematician. She is Andrew and Pauline Delaney Professor of Mathematics at Oberlin College, and a former editor-in-chief of the American Mathematical Monthly. Her mathematical research specialty is enumerative geometry.
Colley went to the Massachusetts Institute of Technology (MIT) as an undergraduate, and earned her Ph.D. at MIT in 1983.
Her dissertation, On the Enumerative Geometry of Stationary Multiple-points, was supervised by Steven Kleiman.
Colley's main research interests are algebraic geometry and related areas, particularly enumerative geometry, .
Colley joined the faculty of Oberlin College in 1983 as an assistant professor. She was promoted to professor in 1995 and chaired the Department of Mathematics at Oberlin from 1994—1997 and again from 2011—2014. She was appointed the Andrew and Pauline Delaney Professor of Mathematics in 1999 and still holds that position.
Colley was on the board of editors of the Mathematical Association of America (MAA) publication The College Mathematics Journal from 2010 –2018. She served on the board of editors of the MAA publication Focus from 2011–2015.
She became editor of the American Mathematical Monthly beginning in 2017; she was the first woman to hold this position.
Colley is the author of the textbook Vector Calculus (Prentice Hall, 1997; 4th ed., Pearson, 2011).
References
External links
Home page
Susan Jane Colley's Author Profile on MathSciNet
1959 births
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Oberlin College faculty
20th-century American women
Massachusetts Institute of Technology alumni
Algebraic geometers
21st-century American women
The American Mathematical Monthly editors |
https://en.wikipedia.org/wiki/Gethyn%20Hewan | Gethyn Elliot Hewan (23 December 1916 – 1 July 1988) was an English first-class cricketer and schoolmaster. He studied mathematics as the University of Cambridge, during which he played first-class cricket for Cambridge University Cricket Club, before accepting a fellowship to study at Yale University. He served in the Second World War with the Royal Horse Artillery, for which he was mentioned in dispatches. Following the war he took up teaching posts at several educational establishments, most notably as headmaster of Cranbrook School, Sydney.
Early life and first-class cricket
Born at Edinburgh, Hewan was educated at Marlborough College, where he was taught by Brian Hone. From Marlborough he went up to Clare College, Cambridge to study mathematics. He debuted in first-class cricket for Cambridge University in 1938 against the Free Foresters at Fenner's, with Hewan making a total of six first-class appearances for the university in 1938, which was to be his only season of first-class cricket. An bowling all-rounder, Hewan scored 187 runs at an average of 20.77, with a high score of 88. With his off break bowling, he took 20 wickets at a bowling average of 36.25, with best figures of 6/91. These figures, one of two five wicket hauls he took, came against Oxford University. He was awarded a blue in cricket, alongside one in hockey. He was awarded the Andrew Mellon Fellowship to study at Yale University, travelling to the United States in 1938. He graduated with a major in mathematics.
World War II and move to Australia
With the outbreak of the Second World War in 1939, Hewan returned to England and enlisted in the British Army, joining the Royal Horse Artillery. He saw action in North Africa, including at Tobruk. He was mentioned in dispatches in November 1945 in recognition of gallantry and distinguished service in North-West Europe.
Following the conclusion of the war he was appointed as the mathematics master at Wellington College, Berkshire. Relocating to Berkshire saw Hewan play minor counties cricket for Berkshire in 1946, making two appearances in the Minor Counties Championship. On the recommendation of Hone, he became the headmaster of Cranbrook School in Sydney. He accepted the position in November 1950, he relinquished his commission in the Royal Horse Artillery in July 1951, upon which he was granted the honorary rank of major.
In Australia, he was a founding member of the Australian College of Education, and was a strong supporter of the Outward Bound movement. He was a promoter of the house system at Cranbrook, as well as promoting the benefits of extra-curricular activities to its pupils. He oversaw a number of new developments at the school, including the War Memorial Hall in 1953, Dickins House in Rose Bay in 1959 as the Cranbrook Preparatory School, and the Science Building which was opened in 1962. He was a keen amateur golfer, winning the Royal Sydney Golf Championship eight times. He resigned as the headmaster of Cranbrook |
https://en.wikipedia.org/wiki/Danzer%20set | In geometry, a Danzer set is a set of points that touches every convex body of unit volume. Ludwig Danzer asked whether it is possible for such a set to have bounded density. Several variations of this problem remain unsolved.
Formulation
One way to define the problem more formally is to consider the growth rate of a set in Euclidean space, defined as the function that maps a real number to the number of points of that are within distance of the origin. Danzer's question is whether it is possible for a Danzer set to have growth expressed in big O notation. If so, this would equal the growth rate of well-spaced point sets like the integer lattice (which is not a Danzer set).
An equivalent formulation involves the density of a set , defined as
where denotes the Euclidean ball of radius in Euclidean space, centered at the origin, and denotes its volume. Danzer's question asks whether there exists a Danzer set of bounded density or, alternatively, whether every set of bounded density has arbitrarily high-volume convex sets disjoint from it.
Instead of asking for a set of bounded density that intersects arbitrary convex sets of unit volume, it is equivalent to ask for a set of bounded density that intersects all ellipsoids of unit volume, or all hyperrectangles of unit volume. For instance, in the plane, the shapes of these intersecting sets can be restricted to ellipses, or to rectangles. However, these shapes do not necessarily have their sides or axes parallel to the coordinate axes.
Partial results
It is possible to construct a Danzer set of growth rate that is within a polylogarithmic factor For instance, overlaying rectangular grids whose cells have constant volume but differing aspect ratios can achieve a growth rate
Constructions for Danzer sets are known with a somewhat slower growth rate, However, because these growth rates are not , these sets do not have bounded density, and the answer to Danzer's question remains unknown.
Although the existence of a Danzer set of bounded density remains open, it is possible to restrict the classes of point sets that may be Danzer sets in other ways than by their densities, ruling out certain types of solution to Danzer's question. In particular, a Danzer set cannot be the union of finitely many lattices, it cannot be generated by choosing a point in each tile of a substitution tiling (in the same position for each tile of the same type), and it cannot be generated by the cut-and-project method for constructing aperiodic tilings. Therefore, the vertices of the pinwheel tiling and Penrose tiling are not Danzer sets.
Variations
Bounded coverage
A variation of the problem, posed by Timothy Gowers, asks whether there exists a Danzer set for which there is a finite bound on the number of points of intersection between and any convex body of unit volume. This version has been solved: it is impossible for a Danzer set with this property to exist.
Separation
Another variation of the probl |
https://en.wikipedia.org/wiki/Ji-Hyun%20Lee%20%28statistician%29 | Ji-Hyun Lee is an American statistician whose research involves clinical trials, especially for the treatment of cancer.
Lee did her graduate studies in biostatistics at the University of North Carolina at Chapel Hill, where she earned a master's degree in 2000 and completed her doctorate in 2003. She joined the faculty at the University of South Florida in 2003, and in 2014 moved to the University of New Mexico as a professor of internal medicine and director of biostatistics in the UNM Comprehensive Cancer Center. Since 2018 she has been a professor of biostatistics at the University of Florida and director of biostatistics and quantitative sciences in the University of Florida Health Cancer Center.
Lee was president of the Caucus for Women in Statistics for the 2017 term, and in 2018 was elected as a Fellow of the American Statistical Association.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
UNC Gillings School of Global Public Health alumni
University of South Florida faculty
University of New Mexico faculty
University of Florida faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Douglas%20C.%20Heggie | Douglas Cameron Heggie (born 7 February 1947) is a Scottish applied mathematician and astronomer, formerly holding the Personal Chair of Mathematical Astronomy at the School of Mathematics at the University of Edinburgh. His main research interests are in stellar dynamics.
Research
Heggie has conducted pioneering theoretical research on the topic of the classical gravitational N-body problem, with a particular focus on the three-body problem, and related applications to the dynamical evolution of globular star clusters and high-performance computing. The article in which he presented the theory of binary evolution in stellar dynamics (often referred to as Heggie's law) has found an outstanding spectrum of applications in many astrophysical domains.
One of the originators of the current paradigm of the dynamical evolution of collisional stellar systems, he has made seminal contributions also to the quantitative study of prehistoric mathematics and astronomy. On these subjects, he has authored or co-authored of two books: The Gravitational Million-Body Problem: A Multidisciplinary Approach to Star Cluster Dynamics and Megalithic Science: Ancient Mathematics and Astronomy in North-west Europe.
Education and career
Educated at George Heriot's School in Edinburgh, Scotland (Captain and Dux 1965), he spent a decade as an undergraduate student (Wrangler 1968), graduate student (PhD 1973), and research fellow (1972–1976) at Trinity College, Cambridge and Institute of Theoretical Astronomy. Following his appointment to a Lectureship (1975) at the then Department of Mathematics in Edinburgh, his entire professional career has been based there, with prolonged research visits to Princeton, Cambridge, Kyoto, and Warsaw.
He was appointed Professor of Mathematical Astronomy at the University of Edinburgh in 1994, has held visiting professorships at Université Louis Pasteur, Strasbourg and Yukawa Institute for Theoretical Physics, Kyoto, and an honorary professorship at Heriot-Watt University, Edinburgh.
Among other indicators of esteem, he has served as the President of Commission 37 of the International Astronomical Union, on the Council of the Royal Astronomical Society of London (Triennium 1982–1985), as an Editor of long standing of its main research journal, Monthly Notices, as well as an Advisory Editor of the Journal for the History of Astronomy.
Honours
Recipient of the Tyson Medal (1969) and Smith's Prize (1971). Elected Fellow of the Royal Society of Edinburgh (1989).
References
External links
Scholarly publications (in Astronomy and Astrophysics) by Douglas C. Heggie from the NASA Astrophysical Data System
"The Million Body Problem", Public Lecture, Friends of the Kavli Institute for Theoretical Physics, Santa Barbara, CA, USA, 2009
"Research in a Nutshell – Applied Mathematics – D.C. Heggie", Lay description of research in one minute (Million-body simulation of globular cluster M4), University of Edinburgh, 2012
"Michel Hénon contri |
https://en.wikipedia.org/wiki/Learning%20rate | In machine learning and statistics, the learning rate is a tuning parameter in an optimization algorithm that determines the step size at each iteration while moving toward a minimum of a loss function. Since it influences to what extent newly acquired information overrides old information, it metaphorically represents the speed at which a machine learning model "learns". In the adaptive control literature, the learning rate is commonly referred to as gain.
In setting a learning rate, there is a trade-off between the rate of convergence and overshooting. While the descent direction is usually determined from the gradient of the loss function, the learning rate determines how big a step is taken in that direction. A too high learning rate will make the learning jump over minima but a too low learning rate will either take too long to converge or get stuck in an undesirable local minimum.
In order to achieve faster convergence, prevent oscillations and getting stuck in undesirable local minima the learning rate is often varied during training either in accordance to a learning rate schedule or by using an adaptive learning rate. The learning rate and its adjustments may also differ per parameter, in which case it is a diagonal matrix that can be interpreted as an approximation to the inverse of the Hessian matrix in Newton's method. The learning rate is related to the step length determined by inexact line search in quasi-Newton methods and related optimization algorithms.
Learning rate schedule
Initial rate can be left as system default or can be selected using a range of techniques. A learning rate schedule changes the learning rate during learning and is most often changed between epochs/iterations. This is mainly done with two parameters: decay and momentum. There are many different learning rate schedules but the most common are time-based, step-based and exponential.
Decay serves to settle the learning in a nice place and avoid oscillations, a situation that may arise when a too high constant learning rate makes the learning jump back and forth over a minimum, and is controlled by a hyperparameter.
Momentum is analogous to a ball rolling down a hill; we want the ball to settle at the lowest point of the hill (corresponding to the lowest error). Momentum both speeds up the learning (increasing the learning rate) when the error cost gradient is heading in the same direction for a long time and also avoids local minima by 'rolling over' small bumps. Momentum is controlled by a hyperparameter analogous to a ball's mass which must be chosen manually—too high and the ball will roll over minima which we wish to find, too low and it will not fulfil its purpose. The formula for factoring in the momentum is more complex than for decay but is most often built in with deep learning libraries such as Keras.
Time-based learning schedules alter the learning rate depending on the learning rate of the previous time iteration. Factoring in the decay the |
https://en.wikipedia.org/wiki/Sylvia%20Fr%C3%BChwirth-Schnatter | Sylvia Frühwirth-Schnatter (born 21 May 1959) is an Austrian statistician and professor of applied statistics and econometrics at the Vienna University of Economics and Business. She is known for her research in Bayesian analysis. In 2020 she was the President of the International Society for Bayesian Analysis.
Biography
Sylvia Frühwirth-Schnatter was born in 1959 in the Brigittenau district of Vienna. After attaining her doctorate in engineering mathematics from the TU Wien she held numerous academic positions, including professor of statistics at the Johannes Kepler University Linz. Since 2011, she is full professor of statistics at the Vienna University of Economics and Business. Since 2014 she is Full Member of the Division of Humanities and the Social Sciences of the Austrian Academy of Sciences. Sylvia Frühwirth-Schnatter is married and mother of three sons.
Research
In her research, Sylvia Frühwirth-Schnatter inter alia explores ideas relating to Bayesian econometrics, such as efficient Markov chain Monte Carlo methods and Bayesian analysis of finite mixture models. In 2014, she co-developed a Bayesian approach to exploratory factor analysis with James Heckman.
She is a quadruple winner of the WU Best Paper Award and recipient of the DeGroot Prize bestowed by the International Society for Bayesian Analysis for her monograph on Markov switching models.
Selected publications
Frühwirth-Schnatter, S. (2006). Finite mixture and Markov switching models. Springer Science & Business Media.
Conti, G., Frühwirth-Schnatter, S., Heckman, J. J., & Piatek, R. (2014). Bayesian exploratory factor analysis. Journal of econometrics, 183(1), 31–57.
Frühwirth‐Schnatter, S. (1994). Data augmentation and dynamic linear models. Journal of time series analysis, 15(2), 183–202.
References
Austrian statisticians
Bayesian statisticians
Women statisticians
1959 births
Living people
Econometricians
People from Brigittenau
Academic staff of Johannes Kepler University Linz
Scientists from Vienna
TU Wien alumni
Academic staff of the Vienna University of Economics and Business |
https://en.wikipedia.org/wiki/Nicola%20Cirigliano | Nicola Cirigliano (born 20 October 2000) is an Italian footballer who plays as a defender.
Career statistics
Notes
References
2000 births
Living people
Italian men's footballers
Men's association football defenders
US Città di Pontedera players
AS Pro Piacenza 1919 players
Serie C players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Cristiano%20Migliozzi | Cristiano Migliozzi (born 25 July 2002) is an Italian footballer.
Career statistics
Notes
References
2002 births
Living people
Italian men's footballers
Men's association football midfielders
Benevento Calcio players
AS Pro Piacenza 1919 players
Serie C players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Lamine%20Sarr | Lamine Sarr (born 6 July 2001) is a footballer who plays as a goalkeeper.
Career statistics
References
External links
2001 births
Living people
Italian men's footballers
Men's association football goalkeepers
AS Pro Piacenza 1919 players
Serie C players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Andor%20Kert%C3%A9sz%20%28mathematician%29 | Andor Kertész (; 19 February 1929 – 3 April 1974) was a Hungarian mathematician and professor of mathematics at the Lajos Kossuth University (KLTE), Debrecen. He is the father of linguist András Kertész.
Biography and career
Kertész was born on 19 February 1929 in Gyula, Békés County, Hungary.
He graduated from the Roman Catholic Secondary Grammar School at Gyula in 1947.
He earned M.Sc. degrees at Lajos Kossuth University (KLTE), Debrecen in Mathematics, Physics, and Descriptive geometry in 1952.
During his academic years he also worked as a demonstrator and then as an intern at the Institute of Mathematics of the KLTE and he became an aspirant of professors Tibor Szele and László Rédei in Modern algebra in 1951 and since his graduation.
In 1954 he was appointed to an assistant professor at the Institute of Mathematics, KLTE.
He took the candidate (C.Sc.) of Mathematics degree in 1954 and was awarded Doctor of Science (D.Sc.) degree in mathematics in 1957.
From 1960 until 1968 he acted as head of the Department of Algebra and Number Theory, Institute of Mathematics but as an associate professor (docent, reader) just until 1963.
From 1961 until 1963, and from 1968 to 1971, he was a visiting professor at the Martin Luther University of Halle-Wittenberg, East Germany.
In 1962, he lectured in the United Kingdom and West Germany.
In 1963 he received the title of university (full) professor at the KLTE.
He was elected to full membership of the Academy of Sciences Leopoldina in 1968.
In his memory and honour they established the Andor Kertész County Memorial Competition in Mathematics in 1988.
His papers were issued in both national and international prestigious professional research scientific journals, and numerous scientific articles and books were published.
He presented his talks at several conferences and at the different science forums and he developed significant research and professional relationships in Western, Central and Eastern Europe.
He died on 3 April 1974 in Budapest due to chronic and serious illness.
Achievements
His three main fields of interest are in Algebra: theory of Abelian groups, theory of Modules and theory of Rings. He was also interested in the history of mathematics.
He revealed the direct sum of modules and developed the general theory of linear equations.
He also made big and important discoveries about Radicals of Rings.
He dealt with the problems of cardinality in set theory.
During his visiting professorship in Halle, East Germany he contributed to the discovery of the mathematical achievements of Georg Cantor, too.
He was the important scholar of the Debrecen algebraic school founded by Tibor Szele.
At the Martin Luther University of Halle-Wittenberg he had a great role in the establishment of the Modern algebraic school.
Family
His father, Lajos Kertész (1899–1974) was a teacher of music. His mother was Mária Nyíri. He had three siblings. Andor Kertész's wife was Ilona Tóth, teacher of hist |
https://en.wikipedia.org/wiki/Francesco%20De%20Stefano | Francesco De Stefano (born 1 January 1999) is an Italian footballer plays as a forward.
Career statistics
Notes
References
1999 births
Living people
Italian men's footballers
Men's association football forwards
US Città di Pontedera players
AC Cuneo 1905 players
Serie C players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Luca%20Buongiorno | Luca Buongiorno (born 19 September 1997) is an Italian footballer who plays as a midfielder for Tritium.
Career statistics
Notes
References
1997 births
Living people
Italian men's footballers
Men's association football midfielders
AC Milan players
AC Legnano players
AS Pro Piacenza 1919 players
Tritium Calcio 1908 players
Serie C players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Matteo%20Perrotti | Matteo Perrotti (born 17 April 1999) is an Italian footballer who plays as a midfielder for Clodiense.
Career statistics
Notes
References
1999 births
Living people
Italian men's footballers
Men's association football midfielders
AS Pro Piacenza 1919 players
Serie C players
Serie D players
Footballers from Milan |
https://en.wikipedia.org/wiki/Edoardo%20Di%20Bella | Edoardo Di Bella (born 4 May 2001) is an Italian footballer who plays as a defender for Tritium.
Club career
On 11 July 2019, he joined Eccellenza club Casatese.
Career statistics
Notes
References
2001 births
Living people
Italian men's footballers
Men's association football defenders
Calcio Lecco 1912 players
Tritium Calcio 1908 players
Serie D players
Footballers from Milan |
https://en.wikipedia.org/wiki/Samuel%20Segun%20Okoya | Samuel Segun Okoya (born 20 October 1958, in Zaria, Kaduna State, Nigeria) is an academic in applied mathematics at Obafemi Awolowo University. He is the editor-in-chief of the Journal and Notices of the Nigerian Mathematical Society and the First Occupier of Pastor E.A Adeboye Outstanding Professor of Mathematics (Endowed Professorial Chair) University of Lagos. He is the first fully bred alumnus to attain the position of professor and head of the Mathematics Department at Obafemi Awolowo University.
Education
Okoya had his entire tertiary education at Obafemi Awolowo University. He graduated with his bachelor's degree in 1983, earned his master's degree in 1986 and Ph.D. in 1989. His PhD dissertation, supervised by Reuben O. Ayeni, was titled "A Mathematical Model for Explosions with Chain Branching and Chain Breaking Kinetics". He is a Fellow of the Mathematical Association of Nigeria and Nigerian Mathematical Society. He regularly visits the Abdus Salam International Centre for Theoretical Physics, The World Academy of Sciences and International Mathematical Union.
References
1958 births
Living people
People from Lagos State
Academic staff of Obafemi Awolowo University |
https://en.wikipedia.org/wiki/African%20Science%20Academy | African Science Academy (ASA) is an all-girls advanced-level school for Mathematics and Science established in August 2016 in Tema, Ghana, by a UK, US and Ghana-registered charity. The academy is made up of girls from different nationalities across Africa.
History
In 2016, the African Gifted Foundation established the African Science Academy (ASA) - a STEM-focused academy for gifted African girls from low-income backgrounds. The academy was founded by Dr Tom Ilube CBE, a technology entrepreneur and educational philanthropist to spur interest in the field of STEM. In August 2016, the academy began with 24 students from Cameroon, Ethiopia, Nigeria, Sierra Leone, Uganda and Ghana. Since then, the academy has grown to attract girls from 12 African countries, including Togo, Rwanda, Eswantini, and South Africa. They have also doubled the size of their cohort from 25 to 50 students. ASA is the first all-girl institution for advanced level Mathematics and Science in Africa.
Academics
The academy accepts gifted students between the ages of 16 and 19, who have successfully completed their secondary school education in Mathematics and Science. At ASA, their students undergo an intensive advanced-level programme, completing Cambridge International A-Levels in Math, Further Math and Physics in under 11 months. In addition to their studies, students are also provided with the opportunity to participate in extracurricular courses in Computer Programming and Robotics.
Media mention
African Science Academy has been featured on CNN's Inside Africa documentary providing exposure to activities and programs run by the academy in supporting young women interested in STEM education.
Sponsorship
In August, 2022 the African Science Academy announced their Lead Supporter, XTX Markets. The academy is also supported by a number of organisations including the Bank of America, The Black Heart Foundation, SThree and Tullow Oil to provide their girls with an outstanding education.
Partnership
The ASA is one of the members of the Hali Access Network.
References
Schools in Accra
Educational institutions established in 2016
Girls' schools in Ghana
Education in Ghana
2016 establishments in Ghana |
https://en.wikipedia.org/wiki/Model-free%20%28reinforcement%20learning%29 | In reinforcement learning (RL), a model-free algorithm (as opposed to a model-based one) is an algorithm which does not estimate the transition probability distribution (and the reward function) associated with the Markov decision process (MDP), which, in RL, represents the problem to be solved. The transition probability distribution (or transition model) and the reward function are often collectively called the "model" of the environment (or MDP), hence the name "model-free". A model-free RL algorithm can be thought of as an "explicit" trial-and-error algorithm. An example of a model-free algorithm is Q-learning.
Key 'Model-Free' reinforcement learning algorithms
References
Reinforcement learning |
https://en.wikipedia.org/wiki/Greenberg%27s%20conjectures | Greenberg's conjecture is either of two conjectures in algebraic number theory proposed by Ralph Greenberg. Both are still unsolved as of 2021.
Invariants conjecture
The first conjecture was proposed in 1976 and concerns Iwasawa invariants. This conjecture is related to Vandiver's conjecture, Leopoldt's conjecture, Birch–Tate conjecture, all of which are also unsolved.
The conjecture, also referred to as Greenberg's invariants conjecture, firstly appeared in Greenberg's Princeton University thesis of 1971 and originally stated that, assuming that is a totally real number field and that is the cyclotomic -extension, , i.e. the power of dividing the class number of is bounded as . Note that if Leopoldt's conjecture holds for and , the only -extension of is the cyclotomic one (since it is totally real).
In 1976, Greenberg expanded the conjecture by providing more examples for it and slightly reformulated it as follows: given that is a finite extension of and that is a fixed prime, with consideration of subfields of cyclotomic extensions of , one can define a tower of number fields
such that is a cyclic extension of of degree . If is totally real, is the power of dividing the class number of bounded as ? Now, if is an arbitrary number field, then there exist integers , and such that the power of dividing the class number of is , where for all sufficiently large . The integers , , depend only on and . Then, we ask: is for totally real?
Simply speaking, the conjecture asks whether we have for any totally real number field and any prime number , or the conjecture can also be reformulated as asking whether both invariants λ and µ associated to the cyclotomic -extension of a totally real number field vanish.
In 2001, Greenberg generalized the conjecture (thus making it known as Greenberg's pseudo-null conjecture or, sometimes, as Greenberg's generalized conjecture):
Supposing that is a totally real number field and that is a prime, let denote the compositum of all -extensions of . (Recall that if Leopoldt's conjecture holds for and , then .) Let denote the pro- Hilbert class field of and let , regarded as a module over the ring . Then is a pseudo-null -module.
A possible reformulation: Let be the compositum of all the -extensions of and let , then is a pseudo-null -module.
Another related conjecture (also unsolved as of yet) exists:
We have for any number field and any prime number .
This related conjecture was justified by Bruce Ferrero and Larry Washington, both of whom proved (see: Ferrero–Washington theorem) that for any abelian extension of the rational number field and any prime number .
p-rationality conjecture
Another conjecture, which can be referred to as Greenberg's conjecture, was proposed by Greenberg in 2016, and is known as Greenberg's -rationality conjecture. It states that for any odd prime and for any , there exists a -rational field such that . This conjecture is related to the In |
https://en.wikipedia.org/wiki/Yorqin%20Nazarov | Yorqin Nazarov (born 11 October 1974) is a retired Uzbekistan international footballer, who played as a midfielder.
Career statistics
International
References
1974 births
Living people
Uzbekistani men's footballers
Uzbekistan men's international footballers
Uzbekistani expatriate men's footballers
Pakhtakor Tashkent FK players
Traktor Tashkent players
FC Surkhon Termez players
FK Dinamo Samarqand players
Navbahor Namangan players
FC Qizilqum Zarafshon players
FC Bunyodkor players
FC Ordabasy players
Vasco SC players
FC Taraz players
Muktijoddha Sangsad KC players
Expatriate men's footballers in Kazakhstan
Uzbekistani expatriate sportspeople in Kazakhstan
Men's association football midfielders
Uzbekistan Super League players
Kazakhstan Premier League players
Uzbekistani football managers
Sogdiana Jizzakh managers
Turon Yaypan managers |
https://en.wikipedia.org/wiki/Erkin%20Boydullayev | Erkin Boydullayev (born 10 October 1984) is an Uzbek professional footballer who plays as a midfielder for Qizilqum Zarafshon.
Career statistics
International
As of match played 1 February 2013.
References
External links
1984 births
Living people
Uzbekistani men's footballers
Uzbekistan men's international footballers
Men's association football midfielders
FC Guliston players
FC Bunyodkor players
PFC Lokomotiv Tashkent players
FK Dinamo Samarqand players
FC Nasaf players
FC AGMK players
Uzbekistan Super League players |
https://en.wikipedia.org/wiki/Abduqahhor%20Hojiakbarov | Abduqahhor Hojiakbarov (born 18 July 1989) is an Uzbekistan international footballer, who plays as a defender for AGMK.
Career statistics
International
As of match played 29 January 2012.
References
1989 births
Living people
Uzbekistani men's footballers
Uzbekistan men's international footballers
FC Bunyodkor players
FK Turon Yaypan players
FK Yangiyer players
FC AGMK players
Buxoro FK players
FC Surkhon Termez players
Men's association football defenders
Uzbekistan Super League players
Footballers at the 2010 Asian Games
Asian Games competitors for Uzbekistan |
https://en.wikipedia.org/wiki/Abdumajid%20Toirov | Abdumajid Toirov (born 5 August 1974) is a retired Uzbekistan international footballer, who played as a defender.
Career statistics
International
As of match played 17 October 2000.
References
External links
1974 births
Living people
Uzbekistani men's footballers
Uzbekistan men's international footballers
FC Bunyodkor players
navbahor Namangan players
FK Neftchi Farg'ona players
FC Surkhon Termez players
Xorazm FK Urganch players
FC AGMK players
Men's association football defenders
Uzbekistan Super League players
2000 AFC Asian Cup players |
https://en.wikipedia.org/wiki/Timur%20Yafarov | Timur Yafarov (born 30 November 1986) is a former Uzbekistan international footballer who played as a midfielder.
Career statistics
International
As of match played 24 December 2007.
References
1986 births
Living people
Uzbekistani men's footballers
Uzbekistan men's international footballers
FC Bunyodkor players
Men's association football midfielders
Uzbekistan Super League players |
https://en.wikipedia.org/wiki/Stanley%20sequence | In mathematics, a Stanley sequence is an integer sequence generated by a greedy algorithm that chooses the sequence members to avoid arithmetic progressions. If is a finite set of non-negative integers on which no three elements form an arithmetic progression (that is, a Salem–Spencer set), then the Stanley sequence generated from starts from the elements of , in sorted order, and then repeatedly chooses each successive element of the sequence to be a number that is larger than the already-chosen numbers and does not form any three-term arithmetic progression with them.
These sequences are named after Richard P. Stanley.
Binary–ternary sequence
The Stanley sequence starting from the empty set consists of those numbers whose ternary representations have only the digits 0 and 1. That is, when written in ternary, they look like binary numbers. These numbers are
0, 1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 31, 36, 37, 39, 40, ...
By their construction as a Stanley sequence, this sequence is the lexicographically first arithmetic-progression-free sequence. Its elements are the sums of distinct powers of three, the numbers such that the th central binomial coefficient is 1 mod 3, and the numbers whose balanced ternary representation is the same as their ternary representation.
The construction of this sequence from the ternary numbers is analogous to the construction of the Moser–de Bruijn sequence, the sequence of numbers whose base-4 representations have only the digits 0 and 1, and the construction of the Cantor set as the subset of real numbers in the interval whose ternary representations use only the digits 0 and 2. More generally, they are a 2-regular sequence, one of a class of integer sequences defined by a linear recurrence relation with multiplier 2.
This sequence includes three powers of two: 1, 4, and 256 = 35 + 32 + 3 + 1. Paul Erdős conjectured that these are the only powers of two that it contains.
Growth rate
Andrew Odlyzko and Richard P. Stanley observed that the number of elements up to some threshold in the binary–ternary sequence, and in other Stanley sequences starting from or , grows proportionally to . For other starting sets the Stanley sequences that they considered appeared to grow more erratically but even more sparsely. For instance, the first irregular case is , which generates the sequence
0, 4, 5, 7, 11, 12, 16, 23, 26, 31, 33, 37, 38, 44, 49, 56, 73, 78, 80, 85, 95, 99, ...
Odlyzko and Stanley conjectured that in such cases the number of elements up to any threshold is . That is, there is a dichotomy in the growth rate of Stanley sequences between the ones with similar growth to the binary–ternary sequence and others with a much smaller growth rate; according to this conjecture, there should be no Stanley sequences with intermediate growth.
Moy proved that Stanley sequences cannot grow significantly more slowly than the conjectured bound for the sequences of slow growth. Every Stanley sequence has elements u |
https://en.wikipedia.org/wiki/Hasan%20Abu-Libdeh | Hasan Abu-Libdeh (; born 1954) is a Palestinian statistician and politician, who founded the Palestinian Central Bureau of Statistics in 1993. He served in the Palestinian National Authority as Minister of Labour, Social Affairs, and National Economy.
Biography
Hasan Abu-Libdeh was born in Arrabeh, West Bank in 1954. He completed a Bachelor's degree in mathematics at Birzeit University in 1979, and an M.Sc. in mathematical statistics at Stanford University in 1981. Abu-Libdeh later received an M.Sc. in applied statistics in 1986 and a Ph.D. in biostatistics in 1988 from Cornell University. He worked as assistant professor at Birzeit University from 1988 to 1991.
Abu-Libdeh founded the Palestinian Central Bureau of Statistics in 1993, becoming its first director and administering its controversial first census in 1997, which he called "as important as the intifada". Alongside his ministerial positions in the Palestinian Authority, Abu-Libdeh served as Deputy Director of the Palestinian Economic Council for Development and Reconstruction and twice as Cabinet Secretary. He also worked as chief executive of the 2008 Palestine Investment Conference.
On 29 November 2011, the Palestinian prosecutor-general charged Abu Libdeh with corruption, with charges including breach of trust, fraud, insider trading, and embezzlement of public funds.
References
1954 births
Biostatisticians
Birzeit University alumni
Cornell University alumni
Fatah members
Government ministers of the Palestinian National Authority
Palestinian mathematicians
Stanford University School of Humanities and Sciences alumni
Living people
People from Arraba, Jenin
Palestinian statisticians |
https://en.wikipedia.org/wiki/Beno%20Arbel | Been Arbel (; 20 January 1939 – 9 April 2013) was an Israeli mathematician and historian of mathematics who worked as Professor of Mathematics at Tel Aviv University.
Biography
Born in Drăgănești-Olt, Romania, Arbel began his academic studies at the University of Bucharest, which he continued at the Hebrew University of Jerusalem upon immigrating to Israel in 1961. He completed his baccalaureate in mathematics and physics there in 1963, and his master's degree in mathematics in April 1965 (under the supervision of Aryeh Dvoretzky), a month after which he enlisted in the Israel Defense Forces. Arbel received his Ph.D. in 1987 from the Hebrew University under Marcel Herzog, and went on to teach at Tel Aviv University, Kibbutzim College, Beit Berl Academic College, and the .
From the late 1980s, Arbel served as director of the program for gifted young students in mathematics and computer science at Tel Aviv University.
Selected works
References
External links
In memory of Prof. Beno Arbel
1939 births
2013 deaths
20th-century Israeli mathematicians
Academic staff of Tel Aviv University
Historians of mathematics
Einstein Institute of Mathematics alumni
Israeli Jews
Israeli people of Romanian-Jewish descent
Mathematics educators
Romanian emigrants to Israel
University of Bucharest alumni
Academic staff of Beit Berl College
Academic staff of Kibbutzim College
20th-century Romanian mathematicians
20th-century Romanian Jews
People from Olt County |
https://en.wikipedia.org/wiki/Marguerite%20Evans-Galea | Marguerite Virginia Evans-Galea is the co-founder of Women in STEMM Australia. STEMM (science, technology, engineering, maths and medicine). Her research is focused on gene therapy and neurodegenerative diseases.
Early life and education
Evans-Galea grew up in Mackay, Queensland. She was raised by her mother after her parents separated. In High School she learned clarinet and discovered classical music. After school she planned to be a music therapist, but she was "bitten by the science bug" in her third year of university.
In 1994 she graduated with a double degree from the University of Queensland BSc/BMus. This was followed by a PGDipSc (Postgraduate Diploma in Science) in 1995 also from the University of Queensland and a PhD from the University of New South Wales in 1999. Her doctoral thesis in molecular biology was titled Characterisation of the response to lipid hydroperoxide stress of the yeast Saccharomyces cerevisiae.
Career
From 1999 to 2007 Evans-Galea did postdoctoral research in the USA. In 2000 her postdoctoral fellowship at the University of Utah was terminated when she became pregnant. In 2001 she obtained a post at St Jude Children's Research Hospital in Memphis, Tennessee.
On her return to Australia in 2008 Evans-Galea joined a clinical team at the Bruce Lefroy Centre for Genetic Health Research at the Murdoch Children's Research Institute (MCRI) that allowed her to connect her research on yeasts with medical research. She develops cell and gene therapies for Friedreich's ataxia a neurodegenerative disease which affects children from around 10 years of age.
She was an Honorary research scientist at the Murdoch Children's Research Institute in 2008 and Honorary Fellow, Department of Paediatrics, The University of Melbourne since 2009.
She served on the Immune Responses Committee of the American Society for Gene and Cell Therapy and is a past member of the executive committee of the Australasian Gene and Cell Therapy Society.
She was Chair from 2016 to 2017 of the executive of the Australian Science and Innovation Forum, a partner of the Australian Academy of Technological Sciences and Engineering.
Evans-Galea helps early researchers and she is a leading advocate of gender equality. She developed graduate mentoring programs in the USA. and was the founding chair of the Early-Mid Career Researcher (EMCR) Forum with the Australian Academy of Science from 2011 to 2013. She is a committee member of the Expert Advisory Group of the Science in Australia Gender Equity (SAGE) Forum.
She is Executive Director of the Industry Mentoring Network in STEM (IMNIS) at the Australian Academy of Technology and Engineering. IMNIS connects motivated PhD students in science, technology, engineering and mathematics with high level industry mentors for a one-year industry mentoring program. In October 2018 about 300 PhD mentees were involved in the MTP (medical technologies, biotechnology and pharmaceutical) program in five states and 17 o |
https://en.wikipedia.org/wiki/Lecture%20Notes | Lecture Notes may refer to the following book series, published by Springer Science+Business Media
Lecture Notes in Computer Science
Lecture Notes in Mathematics
Lecture Notes in Physics |
https://en.wikipedia.org/wiki/Serguei%20Barannikov | Serguei Barannikov (; born April 16, 1972) is a mathematician, known for his works in algebraic topology, algebraic geometry and mathematical physics.
Biography
Barannikov graduated with honors from Moscow State University in 1994.
In 1995–1999, Barannikov received his Doctor of Philosophy degree (Ph.D.) in Mathematics from the University of California, Berkeley. Simultaneously, he was an invited researcher at Institut des Hautes Etudes Scientifiques in France.
During 1999–2010, he worked as a researcher at Ecole Normale Supérieure in Paris. Since 2010, he works as a researcher at Paris Diderot University.
Scientific work
At the age of 20, Barannikov wrote a paper on algebraic topology, in which he introduced the "canonical forms" invariants of filtered complexes, later also called "Barannikov modules". Ten years later, these invariants became widely used in applied mathematics in the field of topological data analysis under the name of "persistence bar-codes" and "persistence diagrams".
Barannikov is known for his work on mirror symmetry, Morse theory, and Hodge theory. In mirror symmetry, he is a co-author of construction of Frobenius manifold, mirror symmetric to genus zero Gromov–Witten invariants.
He is one of authors of hypothesis of homological mirror symmetry for Fano manifolds. In the theory of exponential integrals, Barannikov is a co-author of the theorem on the degeneration of analogue of Hodge–de Rham spectral sequence.
In the theory of noncommutative varieties, Barannikov is the author of the theory of noncommutative Hodge structures.
Barannikov is known for: Barannikov–Morse complexes, Barannikov modules, Barannikov–Kontsevich construction, and Barannikov–Kontsevich theorem.
References
Moscow State University alumni
University of California, Berkeley alumni
20th-century Russian mathematicians
21st-century Russian mathematicians
Topologists
1972 births
Living people |
https://en.wikipedia.org/wiki/Kuperberg | Kuperberg is a surname. Notable people with the surname include:
Włodzimierz Kuperberg (born 1941), professor of mathematics
Krystyna Kuperberg (born 1944), Polish-American mathematician
Greg Kuperberg (born 1967), Polish-American mathematician
See also
Kupperberg (disambiguation)
Kupferberg (disambiguation) |
https://en.wikipedia.org/wiki/Gioele%20Del%20Giudice | Gioele Del Giudice (born 7 March 2000) is an Italian footballer who plays as a forward for Serie C side Pro Piacenza.
Career statistics
Notes
References
2000 births
Living people
Italian men's footballers
Men's association football forwards
Udinese Calcio players
AS Pro Piacenza 1919 players
Serie C players
People from Nardò
Footballers from the Province of Lecce |
https://en.wikipedia.org/wiki/%28Cyclopentadienyl%29titanium%20trichloride | (Cyclopentadienyl)titanium trichloride is an organotitanium compound with the formula (CH)TiCl. It is a moisture sensitive orange solid. The compound adopts a piano stool geometry.
Preparation and reactions
(CH)TiCl is prepared by the reaction of titanocene dichloride and titanium tetrachloride:
(CH)TiCl + TiCl → 2 (CH)TiCl
The complex is electrophilic, readily forming alkoxide complexes upon treatment with alcohols.
Reduction of (cyclopentadienyl)titanium trichloride with zinc powder gives the polymeric Ti(III) derivative (cyclopentadienyl)titanium dichloride:
(CH)TiCl + 0.5Zn → 1/n[(CH)TiCl] + 0.5ZnCl
See also
(Cyclopentadienyl)zirconium trichloride
(Pentamethylcyclopentadienyl)titanium trichloride
(Indenyl)titanium trichloride
References
Metal halides
Titanocenes
Chloro complexes
Titanium(IV) compounds |
https://en.wikipedia.org/wiki/Gideon%20Schechtman | Gideon Schechtman (; born 14 February 1947) is an Israeli mathematician and professor of mathematics at the Weizmann Institute of Science.
Academic career
Schechtman received his Ph.D. in mathematics from the Hebrew University of Jerusalem in 1976 and was a postdoctoral fellow at Ohio State University.
Since 1980 he has been affiliated with the Weizmann Institute, where he became emeritus professor in 2017. His research focuses predominantly on functional analysis and the geometry of Banach spaces. Schechtman is an editor of the Israel Journal of Mathematics.
References
1947 births
Functional analysts
Einstein Institute of Mathematics alumni
Israeli Jews
Israeli mathematicians
Academic staff of Weizmann Institute of Science
Living people |
https://en.wikipedia.org/wiki/Eden%27s%20conjecture | In the mathematics of dynamical systems, Eden's conjecture states that the supremum of the local Lyapunov dimensions on the global attractor is achieved on a stationary point or an unstable periodic orbit embedded into the attractor.
The validity of the conjecture was proved for a number of well-known systems having global attractor (e.g. for the global attractors in the Lorenz system, complex Ginzburg–Landau equation). It is named after Alp Eden, who proposed it in 1987.
Kuznetsov–Eden's conjecture
For local attractors, a conjecture on the Lyapunov dimension of self-excited attractor, refined by N. Kuznetsov, is stated that for a typical system, the Lyapunov dimension of a self-excited attractor does not exceed the Lyapunov dimension of one of the unstable equilibria, the unstable manifold of which intersects with the basin of attraction and visualizes the attractor. The conjecture is valid, e.g., for the classical self-excited Lorenz attractor; for the self-excited attractors in the Henon map (even in the case of multistability and coexistence of local attractors with different Lyapunov dimensions). For a hidden attractor the conjecture is that the maximum of the local Lyapunov dimensions is achieved on an unstable periodic orbit embedded into the attractor.
References
Dynamical systems
Chaos theory
Hidden oscillation |
https://en.wikipedia.org/wiki/Sabetai%20Unguru | Sabetai Unguru (, Shabtai Unguru; born 1 January 1931) is an Israeli historian of mathematics and science.
Biography
Sabetai Unguru was born in 1931 in Podu Iloaiei, Romania. He studied philosophy, philology, history, and mathematics at the University of Iași, before immigrating to Israel in 1961. He obtained his Ph.D. in the history of science from the University of Wisconsin–Madison in 1970, and was an assistant and associate professor in the
Department of History at the University of Oklahoma between 1970 and 1982.
Unguru was appointed associate professor at Tel Aviv University in 1983, and became full professor in 1987. He served as Director of the Cohn Institute for the History and Philosophy of Science and Ideas at Tel Aviv University from 1991 to 1997.
Selected works
Books
Articles
See also
References
1931 births
People from Iași County
Alexandru Ioan Cuza University alumni
Historians of mathematics
Historians of science
Institute for Advanced Study visiting scholars
Israeli historians
Romanian emigrants to Israel
Living people
Academic staff of Tel Aviv University
University of Oklahoma faculty
University of Wisconsin–Madison alumni |
https://en.wikipedia.org/wiki/BCAM | BCAM may stand for:
Basal cell adhesion molecule
Basque Center for Applied Mathematics
Breast Cancer Awareness Month
Broad Contemporary Art Museum |
https://en.wikipedia.org/wiki/Ely%20Merzbach | Ely Yissachar Merzbach (; born 11 February 1950) is an Israeli mathematician and emeritus professor at Bar-Ilan University's Department of Mathematics and the Gonda Brain Research Center.
Biography
Ely Merzbach was born in 1950 in Paris, where he attended École Yabné. He immigrated to Israel at the age of 17, studying for a year at Yeshivat Be'er Ya'akov and then enlisting in the Nahal Brigade of the Israel Defense Forces. He obtained a B.Sc. in mathematics and statistics and an M.Sc. in mathematics from the Hebrew University of Jerusalem, and completed his doctoral studies in 1979 at Ben-Gurion University of the Negev.
Academic career
After working as a postdoctoral fellow at Paris 6 and the École Polytechnique, Merzbach joined the faculty at Bar-Ilan University in 1980, becoming full professor in 1993.
His research focuses on point processes theory, measure theory, stochastic geometry, and applications thereof.
He served as head of the Bar-Ilan's Department of Mathematics and Computer Science from 1991, academic head of Ariel University from 1996 to 1997, and was elected dean of the Faculty of Exact Sciences at Bar-Ilan in 1997.
References
External links
1950 births
Academic staff of Bar-Ilan University
Ben-Gurion University of the Negev alumni
French emigrants to Israel
French Orthodox Jews
Einstein Institute of Mathematics alumni
Israeli mathematicians
Israeli Orthodox Jews
Living people
Probability theorists
Academic staff of Ariel University |
https://en.wikipedia.org/wiki/Lyapunov%20dimension | In the mathematics of dynamical systems, the concept of Lyapunov dimension was suggested by Kaplan and Yorke for estimating the Hausdorff dimension of attractors.
Further the concept has been developed and rigorously justified in a number of papers, and nowadays various different approaches to the definition of Lyapunov dimension are used. Remark that the attractors with noninteger Hausdorff dimension are called strange attractors. Since the direct numerical computation of the Hausdorff dimension of attractors is often a problem of high numerical complexity, estimations via the Lyapunov dimension became widely spread.
The Lyapunov dimension was named after the Russian mathematician Aleksandr Lyapunov because of the close connection with the Lyapunov exponents.
Definitions
Consider a dynamical system
, where is the shift operator along the solutions:
,
of ODE , ,
or difference equation , ,
with continuously differentiable vector-function .
Then is the fundamental matrix of solutions of linearized system
and denote by ,
singular values with respect to their algebraic multiplicity,
ordered by decreasing for any and .
Definition via finite-time Lyapunov dimension
The concept of finite-time Lyapunov dimension and related definition of the Lyapunov dimension, developed in the works by N. Kuznetsov, is convenient for the numerical experiments where only finite time can be observed.
Consider an analog of the Kaplan–Yorke formula for the finite-time Lyapunov exponents:
with respect to the ordered set of finite-time Lyapunov exponents
at the point .
The finite-time Lyapunov dimension of dynamical system with respect
to invariant set
is defined as follows
In this approach the use of the analog of Kaplan–Yorke formula
is rigorously justified by the Douady–Oesterlè theorem, which proves that for any fixed
the finite-time Lyapunov dimension for a closed bounded invariant set
is an upper estimate of the Hausdorff dimension:
Looking for best such estimation
, the Lyapunov dimension is defined as follows:
The possibilities of changing the order of the time limit and the supremum over set is discussed, e.g., in.
Note that the above defined Lyapunov dimension is invariant under Lipschitz diffeomorphisms.
Exact Lyapunov dimension
Let the Jacobian matrix at one of the equilibria have simple real eigenvalues:
,
then
If the supremum of local Lyapunov dimensions on the global attractor, which involves all equilibria, is achieved at an equilibrium point, then this allows one to get analytical formula of the exact Lyapunov dimension of the global attractor (see corresponding Eden’s conjecture).
Definition via statistical physics approach and ergodicity
Following the statistical physics approach and assuming the ergodicity
the Lyapunov dimension of attractor is estimated by
limit value of the local Lyapunov dimension
of a typical trajectory, which belongs to the attractor.
In this case
and .
From a practical point of view, the rigorous use of |
https://en.wikipedia.org/wiki/Sherman%20K.%20Stein | Sherman Kopald Stein (born August 11, 1926) is an American mathematician and an author of mathematics textbooks. He is a professor emeritus at the University of California, Davis. His writings have won the Lester R. Ford Award and the Beckenbach Book Prize.
Life
Stein was born on August 11, 1926, in Minneapolis; his father was a bookbinder. He graduated from the California Institute of Technology in 1946. He completed his doctorate at Columbia University in 1952. His dissertation, The Homology of the Two-Fold Symmetric Product, was supervised by Paul Althaus Smith.
Stein worked as a mathematics instructor at Princeton University for a year, and then joined the mathematics faculty at the University of California, Davis in 1953. He retired in 1993.
Books
Stein is the author of:
Mathematics: The Man-Made Universe: An Introduction to the Spirit of Mathematics (W. H. Freeman, 1963; 3rd ed., Dover, 1998)
Calculus in the First Three Dimensions (McGraw-Hill, 1967)
Calculus for the Natural and Social Sciences (McGraw-Hill, 1968)
Calculus and Analytic Geometry (McGraw-Hill, 1968; 5th ed., 1992)
Elementary Algebra: A Guided Inquiry (with Calvin D. Crabill, Houghton Mifflin, 1972)
Geometry: A Guided Inquiry (with G. D. Chakerian and Calvin D. Crabill, Houghton Mifflin, 1972)
Algebra II/Trigonometry (with Calvin D. Crabill, W. H. Freeman, 1976)
An Introduction to Differential Equations (with Anthony Barcellos, McGraw-Hill, 1994)
Algebra and Tiling: Homomorphisms in the Service of Geometry (with Sándor Szabó, Mathematical Association of America, 1994)
Strength in Numbers: Discovering the Joy and Power of Mathematics in Everyday Life (Wiley, 1996)
Archimedes: What Did He Do besides Cry Eureka? (Mathematical Association of America, 1999)
How the Other Half Thinks: Adventures in Mathematical Reasoning (McGraw-Hill, 2001; reprinted as Adventures in Mathematical Reasoning, Dover, 2016)
Survival Guide for Outsiders: How to Protect Yourself from Politicians, Experts and Other Insiders (BookSurge, 2010).
The book Algebra and Tiling: Homomorphisms in the Service of Geometry, written by Stein and Szabó, won the 1998 Beckenbach Book Prize of the Mathematical Association of America.
Other contributions
Stein's doctoral research was in topology, but his research interests later shifted to abstract algebra and combinatorics. In combinatorics, he is known for formulating the tripod packing problem. The tripods of this problem are infinite polycubes, the unions of the lattice cubes along three axis-parallel rays, and they have also been called "Stein corners" in honor of his contributions to this problem. Stein is also known as one of the independent discoverers of Fáry's theorem, and for his contributions to equidissection, the partition of polygons into triangles of equal area.
Stein won the Lester R. Ford Award of the Mathematical Association of America in 1975 for a paper on the connections between group theory and tessellations.
References
Living people
20th-cen |
https://en.wikipedia.org/wiki/Day%20convolution | In mathematics, specifically in category theory, Day convolution is an operation on functors that can be seen as a categorified version of function convolution. It was first introduced by Brian Day in 1970 in the general context of enriched functor categories. Day convolution acts as a tensor product for a monoidal category structure on the category of functors over some monoidal category .
Definition
Let be a monoidal category enriched over a symmetric monoidal closed category . Given two functors , we define their Day convolution as the following coend.
If is symmetric, then is also symmetric. We can show this defines an associative monoidal product.
References
External links
Category theory |
https://en.wikipedia.org/wiki/1971%E2%80%9372%20FK%20Partizan%20season | The 1971–72 season was the 26th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1971–72 season.
Friendlies
Competitions
Yugoslav First League
Matches
Yugoslav Cup
Borac won on penalties.
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1971-72 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/2019%20FC%20Ryukyu%20season | The 2019 FC Ryukyu season is the club's first season in the J2 League after winning promotion in the 2018 J3 League.
Competitions
J2 League
League table
Results
Emperor's Cup
Squad statistics
References
FC Ryukyu seasons
Ryuku |
https://en.wikipedia.org/wiki/1972%20Coppa%20Italia%20final | The 1972 Coppa Italia Final was the final of the 1971–72 Coppa Italia. The match was played on 5 July 1972 between Milan and Napoli. Milan won 2–0.
Match
References
Coppa Italia 1971/72 statistics at rsssf.com
https://www.calcio.com/calendario/ita-coppa-italia-1971-1972-finale/2/
https://www.worldfootball.net/schedule/ita-coppa-italia-1971-1972-finale/2/
Coppa Italia finals
Coppa Italia Final 1972
Coppa Italia Final 1972 |
https://en.wikipedia.org/wiki/1967%20Coppa%20Italia%20final | The 1967 Coppa Italia Final was the final of the 1966–67 Coppa Italia. The match was played on 14 June 1967 between Milan and Padova. Milan won 1–0.
Match
References
Coppa Italia 1966/67 statistics at rsssf.com
https://www.calcio.com/calendario/ita-coppa-italia-1966-1967-finale/2/
https://www.worldfootball.net/schedule/ita-coppa-italia-1966-1967-finale/2/
1966–67 in Italian football
Coppa Italia finals
Coppa Italia Final 1967
Calcio Padova matches
June 1967 sports events in Europe |
https://en.wikipedia.org/wiki/Pinwheel%20scheduling | In mathematics and computer science, the pinwheel scheduling problem is a problem in real-time scheduling with repeating tasks of unit length and hard constraints on the time between repetitions.
Definition
The input to pinwheel scheduling consists of a list of tasks, each of which is assumed to take unit time per instantiation. Each task has an associated positive integer value, its minimum repeat time (the minimum time from the start of one instantiation of the task to the next). Only one task can be performed at any given time.
The desired output is an infinite sequence specifying which task to perform in each unit of time. Each input task should appear infinitely often in the sequence, with the largest gap between two consecutive instantiations of a task at most equal to the repeat time of the task.
For example, the infinitely repeating sequence ... would be a valid pinwheel schedule for three tasks a, b, and c with repeat times that are at least 2, 4, and 4 respectively.
Density
If the task to be scheduled are numbered from to , let denote the repeat time for task . Then the density of a pinwheel scheduling problem is . For a solution to exist, it is necessary that the density is at most .
This condition on density
is also sufficient for a schedule to exist in the special case that all repeat times are multiples of each other (for instance, if all are powers of two), because in this case one can solve the problem using a disjoint covering system. Having density at most is also sufficient when there are exactly two distinct repeat times. However, it is not sufficient in other cases. In particular, there is no schedule for three items with repeat times , , and , no matter how large may be, even though the density of this system is only .
Every instance of pinwheel scheduling with density at most has a solution, and it has been conjectured that every instance with density at most has a solution. Every instance with three distinct repeat times and density at most does have a solution.
Periodicity and complexity
When there exists a solution, the solution can be assumed to be periodic, with a period at most equal to the product of the repeat times. However, it is not always possible to find a repeating schedule of sub-exponential length.
With a compact input representation that specifies, for each distinct repeat time, the number of objects that have that repeat time, pinwheel scheduling is NP-hard.
Applications
Applications of pinwheel scheduling include scheduling communications between satellites and a ground station, scheduling maintenance of a collection of objects (such as oil changes for automobiles), computer processing of multimedia data, and contention resolution in real-time wireless computer networks.
References
External links
Pinwheel scheduling (1989), Douglas B. West, University of Illinois
Processor scheduling algorithms |
https://en.wikipedia.org/wiki/Hanan%20Mohamed%20Abdelrahman | Hanan Mohamed Abdelrahman is an Egyptian-Norwegian mathematics educator, the 2017 winner of the .
Life and career
Hanan Mohamed Abdelrahman is originally from Egypt, where her father was an engineer and her mother was a banker. She came to Norway with her husband, a Sudanese immigrant to Norway, in 2002. She has a master's degree in mathematics education, and is a teacher at , a secondary school near Oslo.
Contributions
Abdelrahman's school has many immigrant students of varying backgrounds. Abdelrahman provides them with mathematical games, puzzles, and videos as well as the more traditional coursework of mathematics. She takes the point of view that with individual attention all her students should be able to learn mathematics,
and that all should be equally challenged.
Abdelrahman is the author of a Norwegian-language book, Mattehjelperen - Leksehjelp for foreldre og elever på ungdomsskolen, aimed at getting parents to help students with mathematics, and the founder of an online web site for assisting students with mathematics. She is also a member of a national committee to investigate the effects of gender differences on school outcomes.
Prize
The Holmboe Prize, which Abdelrahman won in 2017, is an annual award for the top mathematics teachers at the primary and secondary school level in Norway, given by the Norwegian Mathematics Council. It is presented in conjunction with the Abel Prize, whose 2017 winner was Yves Meyer. The Holmboe Prize is named after Norwegian mathematics teacher Bernt Michael Holmboe, the teacher of Niels Henrik Abel. It offers a prize of 100,000 Norwegian krone to be split between its winner and the winner's school.
References
Year of birth missing (living people)
Living people
21st-century Egyptian mathematicians
21st-century Norwegian mathematicians
Women mathematicians
Mathematics educators |
https://en.wikipedia.org/wiki/Dominik%20Schmitt | Dominik Schmitt (born 7 April 1992) is a German professional footballer who plays as a midfielder.
References
External links
SpVgg Bayreuth II statistics at BFV.de
1992 births
Living people
Sportspeople from Bamberg
Footballers from Upper Franconia
German men's footballers
Men's association football midfielders
Regionalliga players
V.League 1 players
SpVgg Greuther Fürth II players
FC Ingolstadt 04 II players
SpVgg Bayreuth players
Türkgücü München players
SHB Da Nang FC players
German expatriate men's footballers
German expatriate sportspeople in Vietnam
Expatriate men's footballers in Vietnam |
https://en.wikipedia.org/wiki/Izabela%20Abramowicz | Izabela Abramowicz (9 November 1889, Lutosławice – 22 January 1973, Łęczyca) was a Polish mathematician and mathematics educator. She was honoured with the Knight's Cross of the Order of Polonia Restituta for her services to mathematical education.
Life
Izabela Abramowicz was born in 1889 in Lutosławice, Congress Poland (then part of the Russian empire), to Tomasz Franciszek Abramowicz, a school teacher, and Maria Petronela (née Gniotek). She had two brothers, Kazimierz (who would also become a mathematician) and Zygmunt.
Abramowicz graduated from the State Gymnasium in Bobrujsk in 1907. She attended the Faculty of Mathematics and Physics at the Saint Vladimir University in Kyiv, obtaining an undergraduate degree with a gold medal for her thesis On double integrals on algebraic surfaces. Her dissertation supervisor was Boris Yakovlevich Bukreev.
She received consent from the Minister of Education to remain at the university without a stipend to prepare for her master's degree, the requirements for which she had almost fulfilled in 1918.
In 1923, she moved to Łęczyca, near Poznań, where she stayed till the Second World War. During the German occupation of Poland, between 1942 and 1944, she was arrested and made to work at various factories in Poznań and Luboń. After the war, she returned to Poznań.
Abramowicz died on 22 January 1973, and was interred at the parish church in Wiry.
Career
Between 1917 and 1920, Abramowicz was a docent at the Polish University College in Kyiv. This had been set up in 1916 to teach humanities, but expanded later to allow mathematics and the sciences. Its faculty comprised Polish academics teaching at Russian universities. Abramowicz was one of two women in the faculty.
She also taught in three local gymnasiums.
In 1923, Abramowicz started work as a math teacher at the State Junior High School in Wolsztyn. In the years 1924–1939, she was a teacher of mathematics at the General Zamoyski State Gymnasium in Poznań.
Abramowicz was a member of the Polish Scientific Society in Kyiv. She attended three mathematical conferences: the 1st Polish Mathematical Congress in Lviv (1927), the 1st Congress of Mathematicians of Slavic Countries in Warsaw (1929) and the 2nd Polish Mathematical Congress in Vilnius (1931).
Following the end of the war, she taught mathematics at the Zamoyski State Gymnasium till 1953, after which she worked at the Adam Mickiewicz High School, retiring in 1968.
For her services to education, Abramowicz was awarded the Knight's Cross of the Order of Polonia Restituta.
References
Bibliography
20th-century Polish mathematicians
1889 births
1973 deaths
Taras Shevchenko National University of Kyiv alumni
Polish women mathematicians
Mathematics educators
Knights of the Order of Polonia Restituta
20th-century Polish women |
https://en.wikipedia.org/wiki/List%20of%20Manchester%20United%20W.F.C.%20records%20and%20statistics | Manchester United Women Football Club is an English professional football club based in Leigh, Greater Manchester. The club was formed as a professional outfit in May 2018 and is the direct female affiliate of Manchester United F.C. This list encompasses the major honours won by Manchester United and records set by the club, their managers and their players.
All stats accurate as of match played 22 October 2023.
Honours
Domestic
League
Women's Championship (Level 2): 1
2018–19
Player records
Appearances
Youngest first-team player: Lauren James – (against Liverpool, League Cup, 19 August 2018)
Oldest first-team player: Rachel Williams – (against Everton, Women's Super League, 22 October 2023)
Most consecutive League appearances: 84 – Mary Earps, 7 September 2019 – present
Most consecutive League appearances (outfield player): 72 – Ella Toone, 12 February 2020 – present
Most appearances
Competitive, professional matches only. Appearances as substitute (in parentheses) included in total.
Goalscorers
Most goals in a season in all competitions: 18 – Jessica Sigsworth, 2018–19
Most League goals in a season: 17 – Jessica Sigsworth, Women's Championship, 2018–19
Most goals scored in a match: 5
Jessica Sigsworth v Aston Villa, Women's Championship, 9 September 2018
Ella Toone v Leicester City, League Cup 21 November 2019
Goals in consecutive league matches: 7 consecutive matches
Ella Toone, 25 November 2018 to 24 March 2019
Jessica Sigsworth, 10 March 2019 to 7 September 2019
Youngest first-team goalscorer: Lauren James – (against Aston Villa, Women's Championship, 9 September 2018)
Oldest first-team goalscorer: Rachel Williams – (against Everton, Women's Super League, 22 October 2023)
Fastest goal: 14 seconds – Megan Walsh (o.g.) v Brighton & Hove Albion, Women's Super League, 12 February 2020
Fastest hat-trick: 10 minutes 9 seconds – Jessica Sigsworth v Aston Villa, 9 September 2018
Most hat-tricks: 2 – Ella Toone (13 February 2019 to 21 November 2019)
Overall scorers
Competitive, professional matches only, appearances including substitutes appear in brackets.
Goalkeepers
Most clean sheets in a season in all competitions: 19 – Siobhan Chamberlain, 2018–19
Most League clean sheets in a season: 14 – Mary Earps, Women's Super League, 2022–23
Clean sheets in consecutive league matches: 5 consecutive matches
Siobhan Chamberlain, 9 September 2018 to 4 November 2018
Mary Earps, 17 September 2022 to 6 November 2022
Youngest first-team goalkeeper: Fran Bentley – (against Millwall Lionesses, Women's Championship, 25 November 2018)
Oldest first-team goalkeeper: Siobhan Chamberlain – (against Crystal Palace, Women's Championship, 20 April 2019)
Overall clean sheets
Competitive, professional matches only, appearances including substitutes appear in brackets.
Individual awards
The Best FIFA Goalkeeper
The following players have won The Best FIFA Goalkeeper award while playing for Manchester United:
Mary Earps – 20 |
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