source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Amir%20Zoleykani | Amir Zoleykani (; born August 19, 1989) also transliterated as Zoleikani, is an Iranian football midfielder who plays for Foolad in the Persian Gulf Pro League.
Career
Club career statistics
References
External links
1989 births
Living people
Iranian men's footballers
Men's association football defenders
Men's association football wingers
People from Sari, Iran
Sportspeople from Sari, Iran
Footballers from Mazandaran province
Foolad F.C. players
Sanat Naft Abadan F.C. players |
https://en.wikipedia.org/wiki/Mohammad%20Shadkam | Mohammad Shadkam (; born April 28, 1990) is an Iranian football striker, who plays for Naft Masjed Soleyman in the Persian Gulf Pro League.
Club career statistics
References
External links
1990 births
Living people
Iranian men's footballers
Men's association football defenders
Men's association football wingers
Sportspeople from Tehran province
Gol Gohar Sirjan F.C. players
Sanat Naft Abadan F.C. players
Naft Masjed Soleyman F.C. players
F.C. Pars Jonoubi Jam players |
https://en.wikipedia.org/wiki/Mojtaba%20Mamashli | Mojtaba Mamashli (; born October 14, 1988) is an Iranian football midfielder who plays for Nassaji Mazandaran in Iran Pro League.
Career
Club career statistics
References
1988 births
Living people
Iranian men's footballers
Men's association football defenders
Men's association football wingers
F.C. Nassaji Mazandaran players
Sportspeople from Golestan province |
https://en.wikipedia.org/wiki/Italy%20national%20football%20team%20records%20and%20statistics | This article lists various football records and statistics of the Italy national football team.
Honours
FIFA World Cup
Winners (4): 1934, 1938, 1982, 2006
Runners-up (2): 1970, 1994
Third place (1): 1990
Fourth place (1): 1978
UEFA European Championship
Winners (2): 1968, 2020
Runners-up (2): 2000, 2012
Fourth place (1): 1980
Semi-finals (1): 1988
FIFA Confederations Cup
Third place (1): 2013
UEFA Nations League
Third place (2): 2020–21, 2022–23
Olympic football tournament
Gold Medal (1): 1936
Bronze Medal (2): 1928, 2004
Central European International Cup
Winners (2): 1927–30, 1933–35
Runners-up (2): 1931–32, 1936–38
CONMEBOL–UEFA Cup of Champions
Runners-up (1): 2022
Individual records
Players
Appearances
Most appearances
As of 15 June 2023, the players with the most appearances for Italy are:
Players in bold are still active.
FIFA World Cup
Most appearances at the FIFA World Cup
Paolo Maldini, 23
Most appearances at the FIFA World Cup qualifiers
Gianluigi Buffon, 39
Most appearances at the FIFA World Cup and FIFA World Cup qualifiers
Fabio Cannavaro, 50
Most minutes played in FIFA World Cup matches
Paolo Maldini, 2,216 minutes
Most FIFA World Cups part of the squad
Gianluigi Buffon (1998, 2002, 2006, 2010, 2014), 5
Most FIFA World Cups played in
Gianluigi Buffon, Gianni Rivera, Giuseppe Bergomi, Paolo Maldini and Fabio Cannavaro, 4 each
UEFA European Championship
Most appearances at the UEFA European Championship
Leonardo Bonucci, 18
Most appearances in UEFA European Championship qualifying
Gianluigi Buffon, 41
Most appearances at the UEFA European Championship and UEFA European Championship qualifying
Gianluigi Buffon, 58
Most minutes played in European Championship matches
Leonardo Bonucci, 1,668 minutes
Most European Championships part of the squad
Alessandro Del Piero (1996, 2000, 2004, 2008), Gianluigi Buffon (2004, 2008, 2012, 2016) and Giorgio Chiellini (2008, 2012, 2016, 2020), 4
Most UEFA European Championships played in
Gianluigi Buffon, Alessandro Del Piero and Giorgio Chiellini, 4
UEFA Nations League
Most appearances in the UEFA Nations League
Gianluigi Donnarumma, 20
FIFA Confederations Cup
Most appearances at the FIFA Confederations Cup
Gianluigi Buffon, Giorgio Chiellini and Riccardo Montolivo, 8 each
Most FIFA Confederations Cups played in
Gianluigi Buffon, Giorgio Chiellini, Daniele De Rossi, Andrea Pirlo, Riccardo Montolivo and Alberto Gilardino, 2 each (2009 and 2013)
Others
Most appearances at the Central European International Cup
Giuseppe Meazza, 16
Most appearances at the Olympics
Adolfo Baloncieri, 11
Most appearances as a substitute
Alessandro Del Piero, 30
Most appearances as a substitute at the FIFA World Cup
Alessandro Del Piero, 7
Most appearances as a substitute at the UEFA European Championship
Alessandro Del Piero, 6
Most appearances for Italy wearing the number 10 shirt
Giancarlo Antognoni
Most FIFA World Cup matches won
Paolo Maldin |
https://en.wikipedia.org/wiki/Shota%20Yomesaka | is a Japanese football player. He is currently contracted to J3 League side Grulla Morioka having previously played for Gamba Osaka.<
Career statistics
Last update: 3 December 2017.
Reserves performance
References
External links
Profile at Grulla Morioka
1996 births
Living people
Sportspeople from Sakai, Osaka
Association football people from Osaka Prefecture
Japanese men's footballers
J1 League players
J3 League players
Gamba Osaka players
Gamba Osaka U-23 players
Iwate Grulla Morioka players
Men's association football defenders
Men's association football midfielders |
https://en.wikipedia.org/wiki/Kazunari%20Ichimi | is a Japanese football player. He currently plays as a forward for Tokushima Vortis.
Career statistics
Last update: 1 January 2020.
Reserves performance
References
External links
Profile at Gamba Osaka
1997 births
Living people
People from Yatsushiro, Kumamoto
Association football people from Kumamoto Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Gamba Osaka players
Gamba Osaka U-23 players
Kyoto Sanga FC players
Yokohama FC players
Tokushima Vortis players
Men's association football forwards |
https://en.wikipedia.org/wiki/2015%E2%80%9316%20Martinique%20Championnat%20National | Statistics from the 2015–16 season.
Table
2015-16
Martinique
football
football |
https://en.wikipedia.org/wiki/Ning%20Jizhe | Ning Jizhe (; born December 1956) is a Chinese economist and senior official currently serving as the director of the National Bureau of Statistics of China and Vice Chairman of the National Development and Reform Commission (minister-level rank). Ning is a Non-Executive Director of the Board of Directors of China Investment Corporation.
Education
Ning Jizhe received a Bachelor of Engineering with a major in electric machinery from the Hefei University of Technology in 1982 and a Doctor of Philosophy in Economics from the Renmin University of China in 1988.
Biography
Ning was born in Hefei, Anhui province, and traces his ancestry to Xia County, Shanxi province. During the late stages of the Cultural Revolution, Ning worked as a production team leader at a local commune. After economics reforms began in 1978, Ning went back to school, studying engineering at the Hefei University of Technology. After spending a year working as a technician, he began pursuing graduate degrees at Renmin University.
Ning joined the Chinese Communist Party in June 1985. He earned his doctorate in economics in 1988, after which he joined the National Planning Commission, a central economic planning agency. In November 1998, he joined the planning department of the National Development and Reform Commission. Beginning in 2001, Ning began specializing in the development strategy of China's far western regions. In April 2007, he joined the State Council Research Office, rising to become its director in August 2013. In August 2015, Ning was transferred laterally back to the NDRC, heading up work in economic planning and the use of foreign capital. In March 2016, he also took over the role of the director of the National Bureau of Statistics, whose previous director, Wang Bao'an, had been sacked for corruption. In March 2022, he was appointed vice chairman of the .
References
1956 births
Political office-holders in Beijing
Chinese Communist Party politicians from Anhui
Living people
People's Republic of China politicians from Anhui
Politicians from Hefei
Hefei University of Technology alumni |
https://en.wikipedia.org/wiki/Named%20set%20theory | Named set theory is a branch of theoretical mathematics that studies the structures of names. The named set is a theoretical concept that generalizes the structure of a name described by Frege. Its generalization bridges the descriptivists theory of a name, and its triad structure (name, sensation and reference), with mathematical structures that define mathematical names using triplets. It deploys the former to view the latter at a higher abstract level that unifies a name and its relationship to a mathematical structure as a constructed reference. This enables all names in science and technology to be treated as named sets or as systems of named sets.
Informally, named set theory is a generalization that studies collections of objects (may be, one object) connected to other objects (may be, to one object). The paradigmatic example of a named set is a collection of objects connected to its name. Mathematical examples of named sets are coordinate spaces (objects are points and coordinates are names of these points), vector fields on manifolds (objects are points of the manifold and vectors assigned to points are names of these points), binary relations between two sets (objects are elements of the first set and elements of the second set are names) and fiber bundles (objects form a topological space, names from another topological space and the connection is a continuous projection). The language of named set theory can be used in the definitions of all of these abstract objects.
History
In the 20th century, many generalizations of sets were invented, e.g., fuzzy sets (Zadeh, 1965), or rediscovered, e.g., multisets (Knuth, 1997). As a result, these generalizations created a unification problem in the foundation of mathematics. The concept of a named set was created as a solution to this problem. Its generalization of mathematical structures allowed for the unification of all known generalizations of sets. Later it was demonstrated that all basic mathematical structures either are some kinds of named sets or are built of named sets.
According to Anellis, Burgin & Kaloujnine introduced set-theoretical named sets in 1983 and Burgin introduced named sets in the most general form in 1990. Since then Burgin continued to develop this theory in a series of papers and a book. In 2011, Zellweger applied the theory of named sets to model data relations in the relational database for an end-user interface.
Basic concepts
In mathematics, mathematical structures can have more than one definition. Therefore, there are several definitions of named sets, each representing a specific construction of named set theory. The informal definition is the most general.
Informal definition
A named set X has the form of a triad X = (X, f, I), in which X and I are two objects and f is a connection between X and I. It is represented by the fundamental triad in the following diagram.
Elementary set theory can be studied informally and intuitively, and so can be tau |
https://en.wikipedia.org/wiki/Nikolai%20Panchenko | Nikolai Vasilievich Panchenko (; April 9, 1924, Kaluga – August 18, 2005, Peredelkino) was a Russian poet.
Biography
Born in the family mathematics teacher. Since 1942, the youngest airman as part of 242 th Regiment 321st Air Division on Voronezh Front, 1st Ukrainian Front and 4th Ukrainian Front. Twice wounded and seriously injured. Member of the CPSU since 1944.
In 1945 he returned to Kaluga. Graduated Kaluga State University (1949), Higher Party School (1953). There was a journalist who headed the regional Komsomol newspaper Young Leninist, worked in a factory. Since 1961 editor of the Kaluga publishing house, he became the initiator and member of the editorial board of the famous almanac Tarusa Pages. In the same year he moved to Moscow and was admitted to the Union of Soviet Writers.
He graduated from the State Higher literary courses (1963).
In 1965 he signed a collective letter in defense Sinyavsky–Daniel trial.
During perestroika is one of the founders of the movement April, support the policies of Gorbachev. Chairman of the literary heritage commission Vladimir Narbut.
Member of the editorial board of the journals Russkoye Bogatstvo (1991–95) and Day and Night.
Buried at Peredelkino Cemetery.
The wife – the daughter of Victor Shklovsky Varvara Shklovskaya-Kordi.
References
External links
Фото надгробия на Переделкинском кладбище
Некролог в Литературной газете
1924 births
2005 deaths
People from Kaluga
Russian-language poets
Russian male poets
20th-century Russian poets
21st-century Russian poets
21st-century male writers
Soviet poets
Soviet male writers
20th-century Russian male writers
Soviet people of World War II
Kaluga State University alumni |
https://en.wikipedia.org/wiki/Steve%20Simpson%20%28mathematician%29 | Stephen George Simpson is an American mathematician whose research concerns the foundations of mathematics, including work in mathematical logic, recursion theory, and Ramsey theory. He is known for his extensive development of the field of reverse mathematics founded by Harvey Friedman, in which the goal is to determine which axioms are needed to prove certain mathematical theorems. He has also argued for the benefits of finitistic mathematical systems, such as primitive recursive arithmetic, which do not include actual infinity.
A conference in honor of Simpson's 70th birthday was organized in May 2016.
Education
Simpson graduated in 1966 from Lehigh University with a B.A. (summa cum laude) and M.A. in mathematics. He earned a Ph.D. from the Massachusetts Institute of Technology in 1971, with a dissertation entitled Admissible Ordinals and Recursion Theory and supervised by Gerald Sacks.
Career
After short-term positions at Yale University, the University of California, Berkeley, and the University of Oxford, Simpson became an assistant professor at the Pennsylvania State University in 1975. At Penn State, he was Raymond N. Shibley professor from 1987 to 1992.
In 2016, his wife, computer scientist Padma Raghavan, moved from Penn State to Vanderbilt University to become vice provost for research, and Simpson followed her, becoming a research professor at Vanderbilt.
Selected publications
.
.
.
.
. 2nd ed., 2009, .
References
External links
Home page at PSU
Google scholar profile
Year of birth missing (living people)
Living people
20th-century American mathematicians
Lehigh University alumni
Massachusetts Institute of Technology School of Science alumni
Pennsylvania State University faculty
Vanderbilt University faculty
21st-century American mathematicians |
https://en.wikipedia.org/wiki/W-test | In statistics, the W-test is designed to test the distributional differences between cases and controls for categorical variable set, which can be a single SNP, SNP-SNP, or SNP-environment pairs. It takes a combined log of odds ratio form, calculated from the contingency table of the variable set. The test inherits a chi-squared distribution with data-set adaptive degrees of freedom f, estimated from smaller bootstrapped samples of the data. The flexible and data-corrected probability distribution allows W-test to give relatively accurate p-values under complex genetic architectures.
Applications
Theoretically, the test is not restricted to pairwise interactions, and can go to higher order if sample size of the data can support it. The W-test's application for pairwise interaction effect has been tested in common genome-wide association study (GWAS) dataset with less than 5,000 subjects [1]. Since it corrects for probability distribution bias due to sparse data through the bootstrapped parameters, it has persistent power in low frequency variant environment, when the minor allele frequency (MAF) of single-nucleotide polymorphism (SNP) is between 1% and 5%.
Software
The W-test C++ software, linux version and R package are available from the wtest official website.
References
Maggie Haitian Wang, Rui Sun (co-first authors), Junfeng Guo, Haoyi Weng, Jack Lee, Inchi Hu, Pak Sham and Benny Chung-Ying Zee (2016). A fast and powerful W-test for pairwise epistasis testing. Nucleic Acids Research. doi:10.1093/nar/gkw347
http://www2.ccrb.cuhk.edu.hk/statgene/
Statistical hypothesis testing
Statistical genetics |
https://en.wikipedia.org/wiki/Swain%20Family%20School%20of%20Science%20and%20Mathematics | The Swain Family School of Science and Mathematics is one of the five schools comprising The Citadel in Charleston, South Carolina. The school offers bachelor's and master's degrees in a variety of fields, as well as minors and certificates. It was established in 2002 as The Citadel reorganized its existing departments into the five schools. On June 1, 2018, The Citadel announced the naming of the school for the Swain Family, in recognition of major gifts provided by brothers David C. Swain, Jr., Class of 1980, and his wife Mary, as well as Dr. Christopher C. Swain, Class of 1981, and his wife Debora.
Five academic departments compose the school, including Biology; Chemistry; Mathematics and Computer Science; Health, Exercise, and Sports Sciences; and Physics. The school is headquartered in Grimsley Hall along with the Physics Department, but the Departments are spread among several buildings on campus, including Thompson Hall (Mathematics and Computer Science), Byrd Hall (Chemistry), Duckett Hall (Biology), and Deas Hall (Health, Exercise, and Sports Sciences).
The School is home to a graduate certificate in cyber security, which combined with the School of Humanities and Social Sciences programs focusing on homeland security and intelligence analysis, have earned recognition from the National Security Agency, as the program has been designated a Center of Academic Excellence in Cyber Defense.
In cooperation with the Zucker Family School of Education and School of Engineering, the school in 2009 established and supports The Citadel's STEM Center for Excellence, to prepare students for STEM careers through a variety of programs, including the "Storm the Citadel" Engineering week, summer camps, and scholarships.
In 2013, the National Science Foundation awarded $1.2 million for scholarships in teaching science and mathematics at the secondary level, which are jointly awarded by the School of Science and Mathematics and the Zucker Family School of Education to undergraduate and graduate students.
In January 2017, the school launched a nursing program, offered to evening undergraduates with two years of college credit, as well as the South Carolina Corps of Cadets. Funded by a $4 million anonymous donation, the program is intended to address the need both in the armed services and the Charleston area for qualified nurses.
References
The Citadel, The Military College of South Carolina schools, colleges, and departments
Citadel
2002 establishments in South Carolina |
https://en.wikipedia.org/wiki/Andrea%20Braides | Andrea Braides (born 12 April 1961) is an Italian mathematician, specializing in the calculus of variations. He is a professor at the University of Rome Tor Vergata and at the International School for Advanced Studies (SISSA) in Triest.
Education and career
Born in Udine, Braides studied at the University of Pisa and Scuola Normale Superiore obtaining the degree in Mathematics (Laurea) in 1983 (Gamma-Limits of Functionals in the Calculus of Variations) supervised by Ennio de Giorgi and then at the corsi di perfezionamento (course of higher specialization) at Scuola Normale Superiore. He taught at the University of Udine in 1985–86 and then served two years of servizio civile. At the University of Brescia, he became in 1988 a research associate and in 1992 an associate professor. From 1995 to 2000 he was an associate professor at SISSA in Triest and from 2000 to the present a full professor at the University of Rome Tor Vergata.
He was a visiting professor at the Tata Institute of Fundamental Research (in 1994 and again in 2004), at the Max Planck Institute for Mathematics in the Sciences in Leipzig (in 1998), at Caltech, at the Centre Emile Borel in Paris, at the Isaac Newton Institute, at the University of Paris VI and the University of Paris XIII, at Carnegie-Mellon University, at Stanford University (Timoshenko scholar) and at the department of aerospace engineering at the University of Minnesota. He was a one-year visiting fellow at Mansfied College and visiting professor at the Mathematical Institute in Oxford in 2013–14.
Braides has done research on the calculus of variations, Gamma convergence, asymptotic homogenization, discrete variational problems, percolation, fracture mechanics, image processing, free-discontinuity problems, and geometric measure theory.
In 2014 he was an Invited Speaker at the International Congress of Mathematicians in Seoul with talk Discrete-to-continuum variational methods for lattice systems.
On the occasion of his 60th birthday he was the dedicatee of the international conference "Calculus of Variations. Back to Carthage" held in Carthage, Tunisia from 16–20 May 2022.
Selected publications
References
External links
Home page of Andrea Braides at the University of Rome Tor Vergata
Conference Announcement at the Scuola Italiana di Cartagine
1961 births
20th-century Italian mathematicians
21st-century Italian mathematicians
University of Pisa alumni
People from Udine
Living people
Academic staff of the University of Rome Tor Vergata |
https://en.wikipedia.org/wiki/Tadashi%20Tokieda | Tadashi Tokieda (Japanese: 時枝正; born 1968) is a Japanese mathematician, working in mathematical physics. He is a professor of mathematics at Stanford University; previously he was a fellow and Director of Studies of Mathematics at Trinity Hall, Cambridge. He is also very active in inventing, collecting, and studying toys that uniquely reveal and explore real-world surprises of mathematics and physics. In comparison with most mathematicians, he had an unusual path in life: he started as a painter, and then became a classical philologist, before switching to mathematics.
Life and career
Tokieda was born in Tokyo and grew up to be a painter.
He then studied at Lycée Sainte-Marie Grand Lebrun in France as a classical philologist. According to his personal homepage, he taught himself basic mathematics from Russian collections of problems.
He is a 1989 classics graduate from Sophia University in Tokyo and has a 1991 bachelor's degree from Oxford in mathematics (where he studied as a British Council Fellow). He obtained his PhD at Princeton under the supervision of William Browder.
Tokieda joined the University of Illinois at Urbana Champaign as a J. L. Doob Research Assistant Professor for the 1997 academic year.
He has been involved in the African Institute for Mathematical Sciences since its beginning in 2003.
In 2004, he was elected a Fellow of Trinity Hall, where he became the Director of Studies in Mathematics and the Stephan and Thomas Körner Fellow.
He was the William and Flora Hewlett Foundation Fellow in 2013–2014 at the Radcliffe Institute for Advanced Study at Harvard University.
In the academic year 2015–2016 he was the Poincaré Distinguished Visiting Professor at Stanford.
Besides his native language Japanese, he is also fluent in French and English. In addition, he knows ancient Greek, Latin, classical Chinese, Finnish, Spanish, and Russian. So far he has lived in eight countries.
In March 2020, Tokieda was interviewed on The Joy of X, Steven Strogatz's podcast for Quanta Magazine.
Selected publications
References
External links
at the University of Cambridge
"Toy inspires new spin on Earth's magnetic field", New Scientist
Living people
1968 births
Japanese expatriates in the United States
Japanese expatriates in the United Kingdom
Alumni of the University of Oxford
Princeton University alumni
Sophia University alumni
21st-century Japanese mathematicians
Mathematical physicists
Geometers
Scientists from Tokyo
20th-century Japanese mathematicians |
https://en.wikipedia.org/wiki/Real%20element | In group theory, a discipline within modern algebra, an element of a group is called a real element of if it belongs to the same conjugacy class as its inverse , that is, if there is a in with , where is defined as . An element of a group is called strongly real if there is an involution with .
An element of a group is real if and only if for all representations of , the trace of the corresponding matrix is a real number. In other words, an element of a group is real if and only if is a real number for all characters of .
A group with every element real is called an ambivalent group. Every ambivalent group has a real character table. The symmetric group of any degree is ambivalent.
Properties
A group with real elements other than the identity element necessarily is of even order.
For a real element of a group , the number of group elements with is equal to , where is the centralizer of ,
.
Every involution is strongly real. Furthermore, every element that is the product of two involutions is strongly real. Conversely, every strongly real element is the product of two involutions.
If and is real in and is odd, then is strongly real in .
Extended centralizer
The extended centralizer of an element of a group is defined as
making the extended centralizer of an element equal to the normalizer of the set
The extended centralizer of an element of a group is always a subgroup of . For involutions or non-real elements, centralizer and extended centralizer are equal. For a real element of a group that is not an involution,
See also
Brauer–Fowler theorem
Notes
References
Group theory |
https://en.wikipedia.org/wiki/Philippe%20Biane | Philippe Biane (born 1962) is a French mathematician known for his contributions in probability theory and group representation. He was awarded the Rollo Davidson Prize in 1995, together with Yuval Peres.
References
External links
Website at Université Paris-Est
1962 births
Living people
20th-century French mathematicians
Probability theorists |
https://en.wikipedia.org/wiki/Marta%20Lewicka | Marta Lewicka (born 23 November 1972) is a Polish-American professor of mathematics at the University of Pittsburgh, specializing in mathematical analysis. Lewicka has contributed results in the theory of hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, nonlinear elasticity, nonlinear potential theory and differential games.
Career
Lewicka earned bachelor's and master's degrees in mathematics in 1996 from the University of Gdańsk, and a second engineering bachelor's degree in computer science in 1998 from Częstochowa University of Technology. She completed her Ph.D. in 2000 from the International School for Advanced Studies in Trieste, Italy under the supervision of Alberto Bressan. After postdoctoral research at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany and a term as L.E. Dickson Instructor at the University of Chicago, she joined the University of Minnesota faculty in 2005. She moved in 2010 to Rutgers University, and again in 2011 to the University of Pittsburgh.
In 2016, she gave an AMS invited address at the AMS/MAA Joint Mathematical Meetings in the area of nonlinear elasticity and geometry of prestrained materials. In 2017, she gave a Howard Rowlee Lecture. In 2017, she received Professor's scientific title, awarded in Poland by the President of the Republic of Poland. In 2018, she received a Simons Fellowship in Mathematics. She was elected a Fellow of the American Mathematical Society in the Class of 2021, with citation "For contributions to partial differential equations, calculus of variations, and continuum mechanics." In 2022 she was a fellow of the Lady Davis Foundation and a visiting professor at the Hebrew University of Jerusalem.
In 2023-2024 she is the Vice Chair of the Society for Industrial and Applied Mathematics Activity Group on Analysis of Partial Differential Equations.
Books
External links
Marta Lewicka's Home Page
Mathematical Genealogy of Marta Lewicka
Notices of The American Mathematical Society expository paper based on Lewicka's AMS Invited address, pages 8-11
References
1972 births
Living people
21st-century American mathematicians
Polish women mathematicians
20th-century Polish mathematicians
21st-century Polish mathematicians
University of Gdańsk alumni
University of Minnesota faculty
Rutgers University faculty
University of Pittsburgh faculty
21st-century women mathematicians
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Parallel%20%28operator%29 | The parallel operator (pronounced "parallel", following the parallel lines notation from geometry; also known as reduced sum, parallel sum or parallel addition) is a mathematical function which is used as a shorthand in electrical engineering, but is also used in kinetics, fluid mechanics and financial mathematics. The name parallel comes from the use of the operator computing the combined resistance of resistors in parallel.
Overview
The parallel operator represents the reciprocal value of a sum of reciprocal values (sometimes also referred to as the "reciprocal formula" or "harmonic sum") and is defined by:
where , , and are elements of the extended complex numbers
The operator gives half of the harmonic mean of two numbers a and b.
As a special case, for any number :
Further, for all distinct numbers
with representing the absolute value of , and meaning the minimum (least element) among and .
If and are distinct positive real numbers then
The concept has been extended from a scalar operation to matrices and further generalized.
Notation
The operator was originally introduced as reduced sum by Sundaram Seshu in 1956, studied as operator ∗ by Kent E. Erickson in 1959, and popularized by Richard James Duffin and William Niles Anderson, Jr. as parallel addition or parallel sum operator : in mathematics and network theory since 1966. While some authors continue to use this symbol up to the present, for example, Sujit Kumar Mitra used ∙ as a symbol in 1970. In applied electronics, a ∥ sign became more common as the operator's symbol around 1974. This was often written as doubled vertical line () available in most character sets (sometimes italicized as //), but now can be represented using Unicode character U+2225 ( ∥ ) for "parallel to". In LaTeX and related markup languages, the macros \| and \parallel are often used (and rarely \smallparallel is used) to denote the operator's symbol.
Properties
Let represent the extended complex plane excluding zero, and the bijective function from to such that One has identities
and
This implies immediately that is a field where the parallel operator takes the place of the addition, and that is field is isomorphic to
The following properties may be obtained by translating through the corresponding properties of the complex numbers.
Field properties
As for any field, satisfies a variety of basic identities.
It is commutative under parallel and multiplication:
It is associative under parallel and multiplication:
Both operations have an identity element; for parallel the identity is while for multiplication the identity is :
Every element of has an inverse under parallel, equal to the additive inverse under addition. (But has no inverse under parallel.)
The identity element is its own inverse,
Every element of has a multiplicative inverse
Multiplication is distributive over parallel:
Repeated parallel
Repeated parallel is equivalent to division,
Or, multip |
https://en.wikipedia.org/wiki/Kachchhapaghata%20dynasty | {
"type": "FeatureCollection",
"features": [
{
"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Gwalior" },
"geometry": { "type": "Point", "coordinates": [78.1828308, 26.2182871] }
},
{
"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Kulwar" },
"geometry": { "type": "Point", "coordinates": [77.8581672, 24.7940647] }
},
{
"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Naresar" },
"geometry": { "type": "Point", "coordinates": [78.2587159, 26.3380328] }
},
{
"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Tilori" },
"geometry": { "type": "Point", "coordinates": [78.2789365, 26.3459742] }
}
]
}
The Kachchhapaghatas (IAST: Kacchapaghāta) were a Rajput dynasty that ruled between 10th and 12th centuries. Their territory included north-western parts of Central India (present-day Madhya Pradesh). The Kachhwaha Rajputs of Amber were from the same family.
History
The Sanskrit word Kachchhapa-ghata (कच्छपघात) literally means "tortoise killer". The Kachchhapaghatas were originally the vassals of the Gurjara Pratiharas and the Chandelas. They became powerful towards the end of the 10th century. After the death of the Chandela king Vidyadhara in 1035 CE, the Chandela kingdom was weakened by repeated Muslim Ghaznavid (Yamini) invasions. Taking advantage of this situation, the Kachchhapaghatas gave up their allegiance to the Chandelas.
A Sasbahu temple inscription suggests that Lakshmana was the first prominent member of the dynasty. This inscription, as well as a 977 Sihoniya inscription state that his successor Vajradaman captured Gopadri (Gwalior) from the king of Gadhinagara, that is the Pratihara ruler of Kannauj. Vajradaman, described as the tilaka of the dynasty in Gwalior inscriptions dated 1093-94 and 1104, was probably the first powerful ruler of the dynasty. He served as a feudatory to the Chandela kings Dhanga and Vidyadhara.
The dynasty was divided into three branches, which ruled from Gwalior (Gopādrigiri), Dubkunda (Chaṇdobha), and Narwar (Nalapur). Virasimha (also Virasimharama or Virasimhadeva), a Kachchhapaghata ruler of Nalapura, issued a copper plate grant in 1120-21. This record describes him using the high-status royal title Maharajadhiraja. Gold coins issued by him have also been discovered.
Downfall
According to bardic tradition, the last ruler of the dynasty was Tejaskarana (alias Dulha Rai or Dhola Rai), the hero of the romantic tale Dhola Maru. This account states that he left Gwalior in 1128 to marry the daughter of a neighbouring ruler, after leaving Paramal-dev (or Paramardi-dev) in-charge of the Gwalior fort. When he returned to Gwalior, Paramal refused to hand over the fort to him, and founded the Parihara dynasty which ruled Gwalior for 103 years. The Parihara ruler over Gwalior is also attested the 1150 inscription of Ramdeo and 1194 inscription of Lohanga-Deva. |
https://en.wikipedia.org/wiki/Luis%20Qui%C3%B1ones%20%28footballer%29 | Luis Enrique Quiñones García (born 26 June 1991) is a Colombian professional footballer who plays as a winger for Liga MX club Tigres UANL.
Career statistics
International career
Quiñones was named in Colombia's provisional squad for Copa América Centenario but was cut from the final squad.
Honours
Tigres UANL
Liga MX: Apertura 2016, Clausura 2019, Clausura 2023
Campeón de Campeones: 2023
CONCACAF Champions League: 2020
Campeones Cup: 2023
Individual
CONCACAF Champions League Team of the Tournament: 2019, 2020, 2023
Liga MX All-Star: 2022
References
1991 births
Living people
Colombian men's footballers
Categoría Primera A players
Liga MX players
Patriotas Boyacá footballers
Águilas Doradas Rionegro players
Atlético Junior footballers
Independiente Santa Fe footballers
Club Universidad Nacional footballers
Tigres UANL footballers
Footballers from Cali
Colombian expatriate men's footballers
Expatriate men's footballers in Mexico
Colombian expatriate sportspeople in Mexico
Men's association football forwards |
https://en.wikipedia.org/wiki/Annalisa%20Buffa | Annalisa Buffa (born 14 February 1973) is an Italian mathematician, specializing in numerical analysis and partial differential equations (PDE). She is a professor of mathematics at EPFL (École Polytechnique Fédérale de Lausanne) and holds the Chair of Numerical Modeling and Simulation.
Education and career
Buffa received her master's degree in computer engineering in 1996 and received her PhD in 2000, with supervisor Franco Brezzi, from the University of Milan with thesis Some numerical and theoretical problems in computational electromagnetism. From 2001 to 2004 she was a Researcher, from 2004 to 2013 a Research Director (rank equivalent to Professor), and from 2013 to 2016 she was the Director at the Istituto di matematica applicata e tecnologie informatiche "E. Magenes" (IMATI) of the CNR in Pavia.
In 2016 she was promoted to Full Professor of Mathematics. She holds the Chair of Numerical Modeling and Simulation at EPFL.
She has been a visiting scholar at many institutions, including the at the University of Paris VI, the École Polytechnique, the ETH Zürich, and the University of Texas at Austin (Institute for Computational Engineering and Sciences, ICES).
Contributions
Buffa's research deals with a wide range of topics in PDEs and numerical analysis: "isogeometric analysis, fully compatible discretization of PDEs, linear and non linear elasticity, contact mechanics, integral equations on non-smooth manifolds, functional theory for Maxwell equations in non-smooth domains, finite element techniques for Maxwell equations, non-conforming domain decomposition methods, asymptotic analysis, stabilization techniques for finite element discretizations."
Recognition
In 2007 Buffa was awarded the Bartolozzi Prize. In 2015 she was awarded the "for her spectacular use of deep and sophisticated mathematical concepts to obtain outstanding contributions to the development of computer simulations in science and industry" (Laudatio). In 2014, she was an Invited Speaker at the International Congress of Mathematicians in Seoul with talk Spline differential forms. In 2008, she received an ERC Starting Grant and in 2016 an ERC Advanced Grant. She became a member of the Academia Europaea in 2016.
Selected works
References
External links
ICM2014 VideoSeries IL15.4: Annalisa Buffa on Aug18Mon – YouTube
Importance of Industry: Annalisa Buffa, 2015 ICIAM Collatz – YouTube
Website of the Chair of Numerical Modeling and Simulation
1973 births
Living people
21st-century Italian mathematicians
Italian women mathematicians
Numerical analysts
University of Pavia alumni
21st-century women mathematicians
Members of Academia Europaea
Academic staff of the École Polytechnique Fédérale de Lausanne |
https://en.wikipedia.org/wiki/Natural%20Ice%20Cream | Natural Ice Cream, d/b/a Naturals, is an Indian ice cream brand owned by Mumbai-based Kamaths Ourtimes Ice Creams Pvt. Ltd. It was founded by Raghunandan Srinivas Kamath who opened its first store at Juhu in Mumbai in 1984.
The chain recorded a retail turnover of 300 crore in the financial year 2020, up from 115 crores in 2015. The ice creams are manufactured by Kamaths Ourtimes Ice Creams and retailed by its subsidiary company Kamaths Natural Retail Pvt. Ltd.
The 2017 rebranding effort, which established the ‘Taste the Original’ tagline, was aimed at setting it apart from similar named brands popping up.
Market
As of April 2022, the chain has 18 directly-owned stores and 119 franchised stores across 11 states. The stores are present in the states of Maharashtra, West Bengal, Karnataka, Goa, Telangana, Kerala, Madhya Pradesh, Chhattisgarh, Gujarat, Rajasthan and Delhi NCR.
Production and trade
The brand's only production facility is situated in Charkop, a suburb of Kandivali in Mumbai, India. The company supplies to its own stores every day. The company spends less than 1% of its sales revenues on advertising, relying mainly on word of mouth to attain revenues.
On completing two years, the brand launched an experiential concept store in Juhu named Naturals Now, which serves freshly churned ice cream straight out of the churner.
Products
Starting with around 10 flavours, today Natural Ice Cream has 125 flavour options, of which 20 are offered throughout the year. The set of flavours change according to seasons. Some of the seasonal flavors include litchi, fig, jackfruit, Muskmelon and watermelon. A custard apple flavor is also purveyed by the brand.
Awards and recognition
In 2006, the brand received Corporation Bank's National SME's Excellence Award in the Food and Agro Industry. In February 2009, a Natural Ice Cream store located in the Juhu Ville Parle Development scheme placed in the Limca Book of Records for the largest ice cream slab, which weighed 3,000 kilograms. The brand was awarded as Best in Customer Service - Regional Retailer Of the Year in 2013. In 2014 the brand received the gold medal for most innovative ice cream flavour (cucumber) in the Great Indian Ice Cream Contest. In 2016, Natural Ice Cream was awarded for home grown concept in food service by Coca-Cola Golden Spoon Awards and also received IMAGES Most Admired Food Service Chain of the Year in the Ice-cream & Dessert Parlours category. It was named as India’s Top 10 brand for customer experience in a KPMG survey.
See also
List of ice cream brands
References
External links
Ice cream brands
Restaurant chains in India
Companies based in Mumbai
1984 establishments in Maharashtra
Ice cream parlors |
https://en.wikipedia.org/wiki/BBL%20Most%20Effective%20Player | The Basketball Bundesliga Most Effective Player Awards are annual awards that are given to the best player in a given Basketball Bundesliga (BBL) season, based on statistics. The awards were handed out for the first time in the 2015–16 season. Two awards are given, one for the most effective German player in the league, and one for the most effective international (non-German) player in the league.
The winner of the award is determined by the Efficiency formula:
(PTS + REB + AST + STL + BLK − Missed FG − Missed FT − TO) / GP
Key
International winners
German winners
References
External links
German League official website
Most Effective Player |
https://en.wikipedia.org/wiki/Kengo%20Hirachi | Kengo Hirachi (平地 健吾 Hirachi Kengo, born 30 November 1964) is a Japanese mathematician, specializing in CR geometry and mathematical analysis.
Hirachi received from Osaka University his B.S. in 1987, his M.S. in 1989, and his Dr.Sci., advised by Gen Komatsu, in 1994 with dissertation The second variation of the Bergman kernel for ellipsoids. He was a research assistant from 1989 to 1996 and a lecturer from 1996 to 2000 at Osaka University. He was an associate professor from 2000 to 2010 and a full professor from 2010 to the present at the University of Tokyo. He was a visiting professor at the Mathematical Sciences Research Institute from October 1995 to September 1996, at the Erwin Schrödinger Institute for Mathematical Physics from March 2004 to April 2004, at Princeton University from October 2004 to July 2005, and at the Institute for Advanced Study from January 2009 to April 2009.
Awards and honors
Takebe Senior Prize (1999) of the Mathematical Society of Japan
Geometry Prize (2003) of the Mathematical Society of Japan
Stefan Bergman Prize (2006)
Inoue Prize for Science (2012)
Invited lecture at ICM, Seoul 2014
References
External links
Kengo Hirachi -- Bibliography, U. of Tokyo website
ICM2014 VideoSeries IL8.3 : Kengo Hirachi on Aug14Thu - YouTube
1964 births
Living people
20th-century Japanese mathematicians
21st-century Japanese mathematicians
Osaka University alumni
Academic staff of the University of Tokyo
Complex analysts
Mathematical analysts
PDE theorists |
https://en.wikipedia.org/wiki/Daniel%20Bump | Daniel Willis Bump (born 13 May 1952) is a mathematician who is a professor at Stanford University. He is a fellow of the American Mathematical Society since 2015, for "contributions to number theory, representation theory, combinatorics, and random matrix theory, as well as mathematical exposition".
He has a Bachelor of Arts from Reed College, where he graduated in 1974. He obtained his Ph.D. from the University of Chicago in 1982 under the supervision of Walter Lewis Baily, Jr. Among Bump's doctoral students is president of the National Association of Mathematicians Edray Goins.
Selected publications
Articles
Bump, D., Friedberg, S., & Hoffstein, J. (1990). "Nonvanishing theorems for L-functions of modular forms and their derivatives". Inventiones Mathematicae, 102(1), pp. 543–618.
Bump, D., & Ginzburg, D. (1992). "Symmetric square L-functions on GL(r)". Annals of Mathematics, 136(1), pp. 137–205.
Bump, D., Friedberg, S., & Hoffstein, J. (1996). "On some applications of automorphic forms to number theory", Bulletin of the American Mathematical Society, 33(2), pp. 157–175.
Bump, D., Choi, K. K., Kurlberg, P., & Vaaler, J. (2000). "A local Riemann hypothesis, I". Mathematische Zeitschrift, 233(1), pp. 1–18.
Bump, D., & Diaconis, P. (2002). "Toeplitz minors". Journal of Combinatorial Theory, Series A, 97(2), pp. 252–271.
Bump, D., Gamburd, A. (2006). On the averages of characteristic polynomials from classical groups, Commun. Math. Phys., 265(1), pp. 227–274.
Brubaker, B., Bump, D., & Friedberg, S. (2011). Schur polynomials and the Yang-Baxter equation, Commun. Math. Phys., 308(2), pp. 281–301.
Books
Bump, D. (1984). Automorphic forms on GL(3,), Springer-Verlag.
Bump, D. (1996). Automorphic forms and representations. Cambridge University Press. 1998 pbk edition
Bump, D. (1998). Algebraic Geometry. World Scientific.
Bump, D. (2004). Lie Groups. Springer. . 2nd edition, 2013
Bump, D., & Schilling A. (2017). "Crystal Bases: Representations and Combinatorics". World Scientific
References
External links
Personal page at Stanford
Page of a conference held in honor of Bump in 2012
Living people
20th-century American mathematicians
21st-century American mathematicians
Fellows of the American Mathematical Society
Reed College alumni
University of Chicago alumni
1952 births
Stanford University Department of Mathematics faculty |
https://en.wikipedia.org/wiki/Ehrhart%27s%20volume%20conjecture | In the geometry of numbers, Ehrhart's volume conjecture gives an upper bound on the volume of a convex body containing only one lattice point in its interior. It is a kind of converse to Minkowski's theorem, which guarantees that a centrally symmetric convex body K must contain a lattice point as soon as its volume exceeds . The conjecture states that a convex body K containing only one lattice point in its interior as its barycenter cannot have volume greater than :
Equality is achieved in this inequality when is a copy of the standard simplex in Euclidean n-dimensional space, whose sides are scaled up by a factor of . Equivalently, is congruent to the convex hull of the vectors , and for all . Presented in this manner, the origin is the only lattice point interior to the convex body K.
The conjecture, furthermore, asserts that equality is achieved in the above inequality if and only if K is unimodularly equivalent to .
Ehrhart proved the conjecture in dimension 2 and in the case of simplices.
References
.
Geometry of numbers
Convex analysis
Conjectures |
https://en.wikipedia.org/wiki/Edward%20William%20Barankin | Edward William Barankin (1920 – 1985) was an American mathematician and statistician.
He received his A.B. from Princeton University in 1941 and his Ph.D. in mathematics from the University of California, Berkeley in 1946. For the academic year 1946–1947 he was Hermann Weyl's assistant at the Institute for Advanced Study. At U. C. Berkeley he was a professor of mathematics from 1947 to 1955 and a professor of statistics from 1955 to 1985.
Upon his death, Edward W. Barankin was survived by his former wife, Claire Barankin Wasser, two sons, Joseph Paul Barankin and Barry Alexander Barankin, and two grandsons, Nathan Robert Barankin and Micha David Barankin. His granddaughter, Elizabeth Alexandra Meghan Barankin, was born a year and a half after his death.
References
1920 births
1985 deaths
American statisticians
Princeton University alumni
UC Berkeley College of Letters and Science alumni
University of California, Berkeley College of Letters and Science faculty
Mathematicians from Pennsylvania |
https://en.wikipedia.org/wiki/Virtual%20fundamental%20class | In mathematics, specifically enumerative geometry, the virtual fundamental class of a space is a replacement of the classical fundamental class in its Chow ring which has better behavior with respect to the enumerative problems being considered. In this way, there exists a cycle with can be used for answering specific enumerative problems, such as the number of degree rational curves on a quintic threefold. For example, in Gromov–Witten theory, the Kontsevich moduli spacesfor a scheme and a class in , their behavior can be wild at the boundary, such aspg 503 having higher-dimensional components at the boundary than on the main space. One such example is in the moduli spacefor the class of a line in . The non-compact "smooth" component is empty, but the boundary contains maps of curveswhose components consist of one degree 3 curve which contracts to a point. There is a virtual fundamental class which can then be used to count the number of curves in this family.
Geometric motivation
We can understand the motivation for the definition of the virtual fundamental classpg 10 by considering what situation should be emulated for a simple case (such as a smooth complete intersection). Suppose we have a variety (representing the coarse space of some moduli problem ) which is cut out from an ambient smooth space by a section of a rank- vector bundle . Then has "virtual dimension" (where is the dimension of ). This is the case if is a transverse section, but if is not, and it lies within a sub-bundle where it is transverse, then we can get a homology cycle by looking at the Euler class of the cokernel bundle over . This bundle acts as the normal bundle of in .
Now, this situation dealt with in Fulton-MacPherson intersection theory by looking at the induced cone and looking at the intersection of the induced section on the induced cone and the zero section, giving a cycle on . If there is no obvious ambient space for which there is an embedding, we must rely upon deformation theory techniques to construct this cycle on the moduli space representing the fundamental class. Now in the case where we have the section cutting out , there is a four term exact sequencewhere the last term represents the "obstruction sheaf". For the general case there is an exact sequencewhere act similarly to and act as the tangent and obstruction sheaves. Note the construction of Behrend-Fantechi is a dualization of the exact sequence given from the concrete example abovepg 44.
Remark on definitions and special cases
There are multiple definitions of virtual fundamental classes, all of which are subsumed by the definition for morphisms of Deligne-Mumford stacks using the intrinsic normal cone and a perfect obstruction theory, but the first definitions are more amenable for constructing lower-brow examples for certain kinds of schemes, such as ones with components of varying dimension. In this way, the structure of the virtual fundamental classes becomes |
https://en.wikipedia.org/wiki/Behrend%20function | In algebraic geometry, the Behrend function of a scheme X, introduced by Kai Behrend, is a constructible function
such that if X is a quasi-projective proper moduli scheme carrying a symmetric obstruction theory, then the weighted Euler characteristic
is the degree of the virtual fundamental class
of X, which is an element of the zeroth Chow group of X. Modulo some solvable technical difficulties (e.g., what is the Chow group of a stack?), the definition extends to moduli stacks such as the moduli stack of stable sheaves (the Donaldson–Thomas theory) or that of stable maps (the Gromov–Witten theory).
References
.
Geometry |
https://en.wikipedia.org/wiki/Ryota%20Aoki%20%28footballer%2C%20born%201996%29 | is a Japanese football player for Consadole Sapporo, currently playing in the J1 League.
Career statistics
Club
References
External links
Profile at Nagoya Grampus
1996 births
Living people
Association football people from Tokyo
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Nagoya Grampus players
J.League U-22 Selection players
Omiya Ardija players
Hokkaido Consadole Sapporo players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Giacomo%20Candido | Giacomo Candido (10 July 1871, in Guagnano – 30 December 1941, in Galatina) was an Italian mathematician and historian of mathematics.
Education and career
In 1897 Candido received his Laurea (teaching degree) from the University of Pisa and started to teach mathematics: first, at the Liceo of Galatina, then at the Liceo of Campobasso and from 1927 at the Liceo of Brindisi.
He was an editor and contributor for the Periodico di Matematica per l'Insegnamento secondario and was one of the founders of the journal La Matematica elementare (an intermediate-level journal for teachers, engineers and students).
He was an Invited Speaker of the ICM in 1928 in Bologna and in 1932 in Zürich. In 1934 he founded the Apulian branch of Mathesis, an Italian association of mathematics teachers.
He is also remembered for his work on the history of mathematics.
Candido's identity
Candido devised his eponymous identity to prove that
where Fn is the nth Fibonacci number.
The identity of Candido is that, for all real numbers x and y,
It is easy to prove that the identity holds in any commutative ring.
Selected publications
[https://babel.hathitrust.org/cgi/pt?id=hvd.32044102938495;view=1up;seq=348 Sulle funzioni Un , Vn di Lucas] in Periodica matematica, anno XVII, 1901–1902
, Tipografia editrice salentina, 1903
Su d'un' applicazione delle funzioni Un , Vn di Lucas in Periodica matematica, anno XX, 1904–1905
Le equazioni reciproche in senso generale in Periodico matematica, anno XXI, 1905–1906
Il fondo Palagi-Libri della Biblioteca Moreniana di Firenze, in Atti del II Congresso della Unione Matematica Italiana, ed. Cremonese, 1941
Sulla mancata pubblicazione nel 1826 della celebre memoria di Abel, ed. Marra, Galatina, 1942
Conferenze e discorsi, ed. Marra, Galatina, 1943
Scritti matematici'', ed. Marzocco, Firenze, 1948
References
1871 births
1941 deaths
19th-century Italian mathematicians
20th-century Italian mathematicians
People from the Province of Lecce |
https://en.wikipedia.org/wiki/Antun%20Vran%C4%8Di%C4%87%20High%20School | Antun Vrančić High School(Croatian: Gimnazija Antuna Vrančića) is a public 4-year general-education high school in Šibenik, Croatia. It currently offers programs focusing on mathematics and natural sciences, classics, linguistics, as well as a general-track program. The school was named after Antun Vrančić (1504-1573), a native of Šibenik.
History
First modern high school was opened for a short time in Šibenik during Napoleon's rule in Dalmatia in 1806. A secondary school with a continuity up till the present-day was opened as Realgymnasium in 1909, while Šibenik and Croatia were a part of Austria-Hungary. School was briefly closed by Italian authorities during the 1918-21 occupation of Šibenik. In 1937 the school moved into a new and modern building in which it operates today. During the Second World War, Italian fascists again occupied Šibenik (1941-3) and forbade the use of Croatian, italianizing the school. Many students and alumni joined the Partisans and fought against the Axis. After the war, the school was restructured and named after People's Heroes of Šibenik (Ljubo Truta, Miro Visic, Vlado Peran, Slobodan Macura). In 1991 it was again remodelled as a general high school and named after Antun Vrančić (1504-1573), renaissance humanist, cardinal, diplomat and author from Šibenik.
Academics and rankings
Following the results of national standardized tests taken by high school students in Croatia in 2006, 2007 and 2008 as a part of a transition towards the introduction of a nationwide exit exam (Matura), Antun Vrančić high school was ranked 24th out of 190 Croatian high schools on an unofficial list.
School's students also participated in International Mathematical Olympiad twice - in 2001 in Washington, DC and in 2002 in Glasgow, where they won a bronze medal. In 2007 and 2011, Antun Vrančić students competed at International Philosophy Olympiad in Turkey and Austria, respectively, earning an honorable mentioning.
Notable alumni
As up until recently the only general secondary school in Šibenik, the school boasts many famous natives of Šibenik and the surrounding area as its alumni:
Ivo Brešan (1936–2017), playwright and author
Gojko Bjedov (1913–1937), trade union leader, volunteer in Spanish civil war (KIA)
Arsen Dedić (1938–2015), singer-songwriter, composer, poet
Vladan Desnica (1905–1967), writer and philosopher
Isak Drutter (1925), economist, university professor, governor of Central Bank of Croatia (1972–1978). Dismissed from school in 1941 under fascist regime
Vojin Jelić (1921–2004), writer and poet
Aleksandar Ljahnicky (1921–2004), architect
Maksim Mrvica (1975), pianist
Hrvoje Požar (1916–1991), electrical engineer, scholar, and Secretary General of the Croatian Academy of Arts and Sciences
Anđelko Runjić (1938–2015), politician, last speaker of the parliament in SR Croatia (1986–90) and Croatian ambassador to Russia (1991–1992)
Ivan Vitić (1917–1986), architect (did not graduate)
Vice Vukov (1936–2007), singer, |
https://en.wikipedia.org/wiki/Chow%20group%20of%20a%20stack | In algebraic geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack , the Chow group of X is the same as the G-equivariant Chow group of Y.
A key difference from the theory of Chow groups of a variety is that a cycle is allowed to carry non-trivial automorphisms and consequently intersection-theoretic operations must take this into account. For example, the degree of a 0-cycle on a stack need not be an integer but is a rational number (due to non-trivial stabilizers).
Definitions
develops the basic theory (mostly over Q) for the Chow group of a (separated) Deligne–Mumford stack. There, the Chow group is defined exactly as in the classical case: it is the free abelian group generated by integral closed substacks modulo rational equivalence.
If a stack X can be written as the quotient stack for some quasi-projective variety Y with a linearized action of a linear algebraic group G, then the Chow group of X is defined as the G-equivariant Chow group of Y. This approach is introduced and developed by Dan Edidin and William A. Graham, as well as Burt Totaro. Later Andrew Kresch (1999) extended the theory to a stack admitting a stratification by quotient stacks.
For higher Chow groups (precursor of motivic homologies) of algebraic stacks, see Roy Joshua's Intersection Theory on Stacks:I and II.
Examples
The calculations depend on definitions. Thus, here, we proceed somehow axiomatically. Specifically, we assume: given an algebraic stack X locally of finite type over a base field k,
(homotopy-invariance) if E is a rank-n vector bundle on X, then .
for each integral substack Z of dimension < p, , a corollary of a localization sequence.
These properties are valid if X is Deligne–Mumford and are expected to hold for any other reasonable theory.
We take X to be the classifying stack , the stack of principal G-bundles for a smooth linear algebraic group G. By definition, it is the quotient stack , where * is viewed as the stack associated to * = Spec k. We approximate it as follows. Given an integer p, choose a representation such that there is a G-invariant open subset U of V on which G acts freely and the complement has codimension . Let be the quotient of by the action . Note the action is free and so is a vector bundle over . By Property 1 applied to this vector bundle,
Then, since , by Property 2,
since .
As a concrete example, let and let it act on by scaling. Then acts freely on . By the above calculation, for each pair of integers n, p such that ,
In particular, for every integer p ≥ 0, . In general, for the hyperplane class h, k-times self-intersection and for negative k and so
where the right-hand side is independent of models used in the calculation (since different hs correspond under the projections between projective spaces.) For , the class , any n, may be thought of as the fundamental class of .
Similarly, we have
where is the first Chern c |
https://en.wikipedia.org/wiki/Catharina%20Stroppel | Catharina Stroppel (born 1971) is a German mathematician whose research concerns representation theory, low-dimensional topology, and category theory. She is a professor of mathematics at the University of Bonn, and vice-coordinator of the Hausdorff Center for Mathematics in Bonn.
Education and Career
Stroppel earned a diploma in mathematics and theology from the University of Freiburg in 1998. She completed her doctorate, also from the University of Freiburg, in 2001, under the supervision of Wolfgang Soergel. After short-term positions at the University of Leicester and Aarhus University, she joined the University of Glasgow as a research associate in 2004, and was promoted to lecturer in 2005 and reader in 2007. In 2008 she moved to Bonn as a professor.
Awards and honors
In 2007, the London Mathematical Society awarded Stroppel their Whitehead Prize "for her contributions to representation theory, in particular in the framework of categorifications and its applications to low-dimensional topology". She was an invited speaker at the 2010 International Congress of Mathematicians. In 2018, she became a member of the German Academy of Sciences Leopoldina. She was named MSRI Simons Professor for 2009-2010. She was awarded a 2023 Gottfried Wilhelm Leibniz Prize “in recognition of her excellent work in representation theory, especially on the topic of category theory.”
References
1971 births
Living people
21st-century German mathematicians
German women mathematicians
University of Freiburg alumni
Academics of the University of Glasgow
Academic staff of the University of Bonn
Members of the German National Academy of Sciences Leopoldina
Whitehead Prize winners
21st-century German women |
https://en.wikipedia.org/wiki/Joseph%20Miller%20Thomas | Joseph Miller Thomas (16 January 1898 – 1979) was an American mathematician, known for the Thomas decomposition of algebraic and differential systems.
Thomas received his Ph.D., supervised by Frederick Wahn Beal, from the University of Pennsylvania with thesis Congruences of Circles, Studied with reference to the Surface of Centers. He was a mathematics professor at Duke University for many years. His graduate students include Mabel Griffin (later married to L. B. Reavis) and Ruth W. Stokes. In 1935, he was one of the founders of the Duke Mathematical Journal. For the academic year 1936–1937, he was a visiting scholar at the Institute for Advanced Study.
Based upon earlier work by Charles Riquier and Maurice Janet, Thomas's research was important for the introduction of involutive bases.
Selected publications
Articles
with Oswald Veblen:
Note on the projective geometry of paths. Proceedings of the National Academy of Sciences 11, no. 4 (1925): 207–209.
The number of even and odd absolute permutations of n letters. Bull. Amer. Math. Soc. 31 (1925) 303–304.
Conformal correspondence of Riemann spaces. Proceedings of the National Academy of Sciences 11, no. 5 (1925): 257–259.
Conformal invariants. Proceedings of the National Academy of Sciences 12, no. 6 (1926): 389–393.
Asymmetric displacement of a vector. Trans. Amer. Math. Soc. 28 (1926) 658–670.
with Oswald Veblen: Projective invariants of affine geometry of paths. Annals of Mathematics 27 (1926): 279–296.
Riquier's existence theorems. Annals of Mathematics 30 (1928): 285–310.
Matrices of integers ordering derivatives. Trans. Amer. Math. Soc. 33 (1931) 389–410.
The condition for an orthonomic differential system. Trans. Amer. Math. Soc. 34 (1932) 332–338.
Pfaffian systems of species one. Trans. Amer. Math. Soc. 35 (1933) 356–371.
Riquier's existence theorems. Annals of Mathematics 35 (1934): 306–311. (addendum to 1928 publication in Annals of Mathematics)
An existence theorem for generalized pfaffian systems. Bull. Amer. Math. Soc. 40 (1934) 309–315.
The condition for a pfaffian system in involution. Bull. Amer. Math. Soc. 40 (1934) 316–320.
Sturm's theorem for multiple roots. National Mathematics Magazine 15, no. 8 (1941): 391–394.
Equations equivalent to a linear differential equation. Proc. Amer. Math. Soc. 3 (1952) 899–903.
Books
References
1898 births
1979 deaths
20th-century American mathematicians
PDE theorists
University of Pennsylvania alumni
Duke University faculty
Institute for Advanced Study visiting scholars |
https://en.wikipedia.org/wiki/Dwork%20conjecture | In mathematics, the Dwork unit root zeta function, named after Bernard Dwork, is the L-function attached to the p-adic Galois representation arising from the p-adic etale cohomology of an algebraic variety defined over a global function field of characteristic p. The Dwork conjecture (1973) states that his unit root zeta function is p-adic meromorphic everywhere. This conjecture was proved
by Wan (2000).
References.
Zeta and L-functions
Conjectures that have been proved |
https://en.wikipedia.org/wiki/Hsu%20Jan-yau | Hsu Jan-yau (; born 8 August 1951) is a Taiwanese politician and current chairman of the Taiwan Stock Exchange.
Education
Hsu obtained his bachelor's degree in accounting and statistics from National Cheng Kung University in 1974 and master's degree in statistics from National Chengchi University in 1976.
Political career
Hsu was named a minister without portfolio in April 2016 and took office on 20 May. On 1 July, he was appointed Chairperson of the Provincial Government of Taiwan Province. Hsu served until November 2017, when he was named chairman of the Taiwan Stock Exchange.
References
Chairpersons of the Taiwan Provincial Government
Living people
1951 births
Politicians of the Republic of China on Taiwan from Kaohsiung
National Chengchi University alumni
National Cheng Kung University alumni |
https://en.wikipedia.org/wiki/Carlitz%E2%80%93Wan%20conjecture | In mathematics, the Carlitz–Wan conjecture classifies the possible degrees of exceptional polynomials over a finite field Fq of q elements. A polynomial f(x) in Fq[x] of degree d is called exceptional over Fq if every irreducible factor (differing from x − y) or (f(x) − f(y))/(x − y)) over Fq becomes reducible over the algebraic closure of Fq. If q > d4, then f(x) is exceptional if and only if f(x) is a permutation polynomial over Fq.
The Carlitz–Wan conjecture states that there are no exceptional polynomials of degree d over Fq if gcd(d, q − 1) > 1.
In the special case that q is odd and d is even, this conjecture was proposed by Leonard Carlitz (1966) and proved by Fried, Guralnick, and Saxl (1993). The general form of the Carlitz–Wan conjecture was proposed by Daqing Wan (1993) and later proved by Hendrik Lenstra (1995)
References
Conjectures that have been proved
Polynomials |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20Real%20Sociedad%20season | The 2016–17 Real Sociedad season was the club's 70th season in La Liga. This article shows player statistics and all matches (official and friendly) the club played during the 2016–17 season.
Current squad
Out on loan
In
Out
Pre-season and friendlies
Competitions
Overall
La Liga
League table
Results summary
source:
Result round by round
Matches
Copa del Rey
Round of 32
Round of 16
Quarter-finals
Statistics
Appearances and goals
Last updated on 21 May 2017.
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Goalkeepers
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Defenders
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Midfielders
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Forwards
|-
! colspan=14 style=background:#dcdcdc; text-align:center| Players who have made an appearance or had a squad number this season but have left the club
|-
|}
References
External links
Club's official website
Real Sociedad
Real Sociedad seasons
2016 in the Basque Country (autonomous community)
2017 in the Basque Country (autonomous community) |
https://en.wikipedia.org/wiki/Marios%20Elia%20%28footballer%2C%20born%201996%29 | Marios Elia (; born 19 May 1996) is a Cypriot professional footballer who plays as a forward for Ethnikos Achna and the Cyprus national team.
Club statistics
Source
International goals
Scores and results list Cyprus' goal tally first.
External links
1996 births
Living people
Cypriot men's footballers
Cypriot First Division players
Cyprus men's under-21 international footballers
Cyprus men's international footballers
Ethnikos Achna FC players
AEL Limassol players
Alki Oroklini players
Men's association football forwards |
https://en.wikipedia.org/wiki/Sascha%20Mockenhaupt | Sascha Mockenhaupt (born 10 September 1991) is a German professional footballer who plays as a defender for SV Wehen Wiesbaden. He is also a professional FIFA esports player.
Career statistics
References
External links
Living people
1991 births
Men's association football defenders
German men's footballers
2. Bundesliga players
3. Liga players
Regionalliga players
Eliteserien players
1. FC Kaiserslautern II players
1. FC Kaiserslautern players
VfR Aalen players
FK Bodø/Glimt players
SV Wehen Wiesbaden players
German expatriate men's footballers
German expatriate sportspeople in Norway
Expatriate men's footballers in Norway |
https://en.wikipedia.org/wiki/Sebastian%20Jacob | Sebastian Jacob (born 26 June 1993) is a German professional footballer who plays as a forward for 3. Liga club 1. FC Saarbrücken.
Career statistics
References
German men's footballers
1993 births
Living people
Men's association football forwards
1. FC Kaiserslautern players
1. FC Saarbrücken players
2. Bundesliga players
Regionalliga players
Footballers from Saarbrücken
21st-century German people |
https://en.wikipedia.org/wiki/Telman%20Malikov | Telman Malikov (born January 5, 1950, in Baku) is an Azerbaijani scientist. He is a professor at Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics.
Early life
In 1972, Malikov graduated in Mechanics and Mathematics at Azerbaijan State University (now Baku State University (BSU)) with an honors diploma. That year, he went to Ganja State University (GSU) as a teacher. In December 1972 – 1975 he became a postgraduate at BSU. From 1976 to 1977 he worked at GSU. From 1977 to 2013 he worked at Azerbaijan Technology University in Ganja. From 1990 to 2005 he was a manager of the Higher Mathematics Department. From 2000 to 2013, he was rector of Azerbaijan Technology University. Starting in 2014 he began work at the University of Mathematics and Mechanics of Azerbaijan National Academy of Sciences.
Research
In 1972, Malikov entered postgraduate study at Azerbaijan State University. In 1976, he defended his dissertation on "The research of intrinsic processes in optimum systems" on "Differential and Integral equations". He earned the degree of physical-mathematics sciences.
In 2005, he defended his thesis on a "Discrete Mathematics and Mathematical Cybernetics", on the topic of "Necessary conditions for optimality in some of optimal management processes".
Malikov studied optimal management following the work of Q. T. Ahmadov, associate member of Azerbaijan National Academy of Sciences.
Malikov suggested new methods to obtain the necessary conditions for optimality in described processes with simple equations, integrodifferential equations, Goursat-Darboux and acted equations. His methods give an opportunity for optimality in some problems that were impossible to explore (for example, in processes with neutral type equations) and to obtain necessary conditions for optimality of special management in necessary conditions and different meanings. He authored more than 80 articles, 2 textbooks, 3 monographs, and crafted more than 10 inventions and patents. His scientific works were published in Russia, US, UK and in scientific journals.
Malikov led scientific investigators and advised doctoral candidates. In 2002, he was awarded with the "Gold Medal" of the French Association for industry for his achievements in education. He was a member of the defence council of doctors and candidates of sciences on Discrete Mathematics and Mathematical Cybernetics of Cybernetic Institute of Azerbaijan National Academy of Sciences.
References
20th-century Azerbaijani mathematicians
Living people
1950 births
21st-century Azerbaijani mathematicians |
https://en.wikipedia.org/wiki/PVP%20Live | PVP Live was an American esports news website. It was founded in 2012 and included a statistics database. The website was owned by PVP Live Interactive, Inc. PVP Live came out of its most recent beta on June 8, 2015. The company is based in Frisco, Texas.
History
Prior incarnations of the organization include the Heroes Live, PVE Live, and Hearth Live websites, a podcast, as well as Armageddon, an online World of Warcraft Arena tournament, and Tavern Takeover, an online Hearthstone tournament.
The third production of Tavern Takeover was widely criticized for poor sound production, resulting in the CEO issuing a public apology and stating that sound issues would be a thing of the past. Several months later, the first episode of PVP Live's Hearthstone Pro League also struggled with sound issues.
In 2015, the website planned on producing a 24-hour online show along the lines of ESPN's Sports Center.
On May 23, 2016, the site broke the news that ESPN was in talks with Riot Games to purchase television broadcast rights for League of Legends content for approximately $500 million. Several hours later, both ESPN and Riot Games issued statements that the story created by PVP Live was false.
PVP Live ran the Hearthstone Pro League, a professional Hearthstone competition, produced in partnership with Twitch, Blizzard Entertainment and PRG. The $60,000 prize pool tournament was officially announced on May 27, 2015. The company was unable to actually pay the top finishers of the competition and refused to answer questions concerning the matter. Later on April 13, 2016, it announced it would pay out the prize money if another organization would pick up all associated costs, excluding the prize pool.
As of June 8, 2016, PVP Live had raised around US$2 million in private funding.
On February 5, 2018, PVP Live shut down all operations immediately.
References
External links
Official Website
Esports Blockchain
Esports websites
Companies based in Frisco, Texas
Internet properties established in 2015
Internet properties disestablished in 2018 |
https://en.wikipedia.org/wiki/Majid%20Rasulov | Majid Latif Rasulov (1916–1993) - Azerbaijani scientist, academician (1983), physics-mathematics PhD (1960)
Biography
Majid Latif Rasulov was born in Shaki in 1916. Academic M.L. Rasulov died on February 11, 1993, in Baku.
Achievements
Majid Rasulov who graduated from Azerbaijan State University (Baku State University) which was postgraduate. He was prominent specialist about mathematical-physics equations and he had worked at functional analysis sections. His researches are divided 4 directions:
First direction consist of equation which is differential equation which gives special solution of Koshi issues, contour integral. At spectral theory works is concerned second direction . There he proved new formulas for differential equation, contour integral. In third direction-To keep linear functional norm which is determined in Banach space, its continuation was proved by solitariness condition. Lastly in fourth direction, normality condition of linear differential operators was extracted.
In 1960, M.L. Rasulov was awarded "Doctor Nauk" degree in the Scientific Council of Mathematics University.
"Method of contour integration" monograph was written by Majid Rasulov and it was published in 1964 in Moscow. Prof. A.I. Ivanov was editor of monograph. He wrote in this review: "M. Rasulov's monograph is exceptional event. There isn't like as this book in Earth press." In 1967 "Method of contour integration" monograph was translated to English language by order of England Mathematics Society and it was published in Canada, USA, Netherlands.
He was rewarded some order, medals and "Figure Scientist" (honorary title) was given him in 1980.
1916 births
1993 deaths
20th-century Azerbaijani mathematicians
Soviet mathematicians |
https://en.wikipedia.org/wiki/Robin%20Krau%C3%9Fe | Robin Krauße (born 2 April 1994) is a German footballer who plays as a midfielder for Eintracht Braunschweig.
Career statistics
References
External links
German men's footballers
1994 births
Living people
FC Hansa Rostock players
FC Carl Zeiss Jena players
FC Ingolstadt 04 players
SC Paderborn 07 players
Eintracht Braunschweig players
Men's association football midfielders
2. Bundesliga players
3. Liga players
Regionalliga players
Footballers from Jena |
https://en.wikipedia.org/wiki/GFW%20High%20School | GFW High School is a secondary school located in Winthrop, Minnesota. It is part of the GFW Schools school district.
Academics
Four advanced placement courses are offered (Government, Calculus, Literature, and Biology). At the end of these courses students take an exam, and depending on their score they may earn college credits.
Athletics
The school offers the following sports:
GFW is a member of the Tomahawk conference for all sports except football (which the conference doesn't offer). For football, GFW is a member of the Gopher Valley AA conference.
References
External links
Official site
Schools in Sibley County, Minnesota
Schools in Renville County, Minnesota
Schools in McLeod County, Minnesota
Education in Sibley County, Minnesota
Education in Renville County, Minnesota
Education in McLeod County, Minnesota
Educational institutions established in 1987
1987 establishments in Minnesota |
https://en.wikipedia.org/wiki/Mirabbas%20Gasimov | Mirabbas Geogja Gasimov (11 July 1939 – 6 September 2008) was a mathematician of the Soviet Union and Azerbaijan, doctor of physics-mathematics, professor, an active member of Academy of Sciences of Azerbaijan.
Biography
Mirabbas Gasimov was born in Narimankend village (now Gobustan city) of Shamakhy in 1939. In 1956, Gasimov had entered the faculty of physics-mathematics of Azerbaijan State University (now Baku State University). In 1958, he was transferred to the appropriate faculty of M. V. Lomonosov Moscow State University. In 1961, after graduating from his education, he was kept in post-graduate courses of MSU. From this period, M. Gasimov's scientific work was beginning (his research adviser had become F. A. Berezin) and mainly it consisted from B. M. Levitan's investigation which he thought him as himself teacher. B. Levitan gave high value to Mirabbas Gasimov's works in one's turn, he approached lovingly him like himself most talented student.
Scientific work
Mirabbas Gasimov's main works had belonged to obstinate problems of spectral analysis and theory of non-selfadjoint differential operators for classes of different differential operator.
In 1964, M. G. Gasimov defended master's thesis of "Definition of Sturm–Liouville differential equation with respect to two spectra in Academic Council of the faculty of Mechanics-Mathematics of MSU. Work had been estimated as "Spectacular Work" according to special decision of Academic Council. In the same year, he went to work as an assistant to Moscow Physical Technical Institute and in 1965, he was assigned as a senior lecturer to the Department Mathematics of F. E. Dzerzhinskiy Military Engineering Academy with competition way.
In 1967, M. Gasimov defended thesis for doctor's degree according physics-mathematics sciences in theme of "Some problems of theory of selfadjoint and non-selfadjoint differential operators in MSU" and this dissertation was translated into English in United States. Famous mathematicians, A. Q. Kostyuchenko, V. A. Marchenko, M. A. Naymark had been official opponents. From September 1968 he had become professor position of ASU. From 1972 (until 2007) he had become the chief of chair of Applied Mathematics. In 1970–76, he became the head of Department Partial Differential Equations in the Institute of Mathematics and Mechanics of the Academy of Sciences of Azerbaijan.
In 1980, M. Gasimov was elected a corresponding member of the Academy of Sciences of Azerbaijan, in 1989, he became an active member (academician) of Academy of Sciences of Azerbaijan.
In 1990–92, he became the rector of BSU. In this period, attached to the university Applied Mathematic Scientific Experience Institute was created, and as main purpose he aimed to bring together mathematicians and mechanics. In different years, he held the posts of the dean of Mechanics Math and Applied Mathematics and Cybernatics of BSU, and the first deputy minister of education. In 1990–95, he became the deputy of the |
https://en.wikipedia.org/wiki/Ali%20Hazami | Ali Hazami (born 25 February 1996) is an Iranian footballer who played as a left midfielder for Baadraan in the Azadegan League.
Club career statistics
Last updated: 17 May 2016
International career
U17
He represented Iran U17 in 2012 AFC U-16 Championship and 2013 FIFA U-17 World Cup.
U20
He was invited to Iran U20 by Ali Dousti Mehr to prepare for the 2014 AFC U-19 Championship. Hazami played 3 matches for Iran during the 2014 AFC U-19 Championship.
References
Sepahan S.C. footballers
1996 births
Living people
People from Khorramshahr
Men's association football midfielders
Iranian men's footballers
Footballers from Khuzestan province |
https://en.wikipedia.org/wiki/Hamed%20Bahiraei | Hamed Bahiraei (born 12 July 1995) is an Iranian footballer who played as an defensive midfielder for Machine Sazi.
Club career statistics
Last Update:17 May 2016
References
Sepahan S.C. footballers
F.C. Nassaji Mazandaran players
1995 births
Living people
Iranian men's footballers
Men's association football midfielders
Footballers from Isfahan |
https://en.wikipedia.org/wiki/Mehdi%20Sedghian | Mehdi Sedghian (born 5 May 1996) is an Iranian footballer who plays as a goalkeeper for Shahin bandar ameri F.C in the Azadegan League.
Club career statistics
Last Update:17 May 2016
References
Sepahan S.C. footballers
Fajr Sepasi Shiraz F.C. players
1996 births
Living people
Sportspeople from Isfahan province
Men's association football goalkeepers
Iranian men's footballers |
https://en.wikipedia.org/wiki/Read-once%20function | In mathematics, a read-once function is a special type of Boolean function that can be described by a Boolean expression in which each variable appears only once.
More precisely, the expression is required to use only the operations of logical conjunction, logical disjunction, and negation. By applying De Morgan's laws, such an expression can be transformed into one in which negation is used only on individual variables (still with each variable appearing only once). By replacing each negated variable with a new positive variable representing its negation, such a function can be transformed into an equivalent positive read-once Boolean function, represented by a read-once expression without negations.
Examples
For example, for three variables , , and , the expressions
, and
are all read-once (as are the other functions obtained by permuting the variables in these expressions). However, the Boolean median operation, given by the expression
is not read-once: this formula has more than one copy of each variable, and there is no equivalent formula that uses each variable only once.
Characterization
The disjunctive normal form of a (positive) read-once function is not generally itself read-once. Nevertheless, it carries important information about the function. In particular, if one forms a co-occurrence graph in which the vertices represent variables, and edges connect pairs of variables that both occur in the same clause of the conjunctive normal form, then the co-occurrence graph of a read-once function is necessarily a cograph. More precisely, a positive Boolean function is read-once if and only if its co-occurrence graph is a cograph, and in addition every maximal clique of the co-occurrence graph forms one of the conjunctions (prime implicants) of the disjunctive normal form. That is, when interpreted as a function on sets of vertices of its co-occurrence graph, a read-once function is true for sets of vertices that contain a maximal clique, and false otherwise.
For instance the median function has the same co-occurrence graph as the conjunction of three variables, a triangle graph, but the three-vertex complete subgraph of this graph (the whole graph) forms a subset of a clause only for the conjunction and not for the median.
Two variables of a positive read-once expression are adjacent in the co-occurrence graph if and only if their lowest common ancestor in the expression is a conjunction, so the expression tree can be interpreted as a cotree for the corresponding cograph.
Another alternative characterization of positive read-once functions combines their disjunctive and conjunctive normal form. A positive function of a given system of variables, that uses all of its variables, is read-once if and only if every prime implicant of the disjunctive normal form and every clause of the conjunctive normal form have exactly one variable in common.
Recognition
It is possible to recognize read-once functions from their disjunctive normal form |
https://en.wikipedia.org/wiki/Leibniz%20Institute%20for%20Science%20and%20Mathematics%20Education%20at%20Kiel%20University | The Leibniz Institute for Science and Mathematics Education at Kiel University (IPN; German: ), previously known as the Leibniz Institute for Science Education, is a scientific institute in the field of Education Research in Germany. It is a member of the Leibniz Association and located in Kiel, Germany. the two maintain a strong relationship.
The institute was founded in 1966 by physicist Karl Hecht (with participation of Werner Krobel), who remained director until 1971.
History
In 1957, the "Sputnik shock" caused a rethinking of education policy in the US and in Europe. Accordingly, Karl Hecht, in the early 1960s, proposed to establish an institute for science teaching and learning.
On 1 December 1966, eight employees began working under Hecht in the Institute of Applied Physics at Kiel University; the first two departments were Physics Education and Chemistry Education. The IPN building was then constructed and opened in October 1970, following three years of construction work funded by the Volkswagen Foundation. Hecht remained director until 1971, when Karl Frey was appointed as Hecht's successor.
The IPN became an institute of the state of Schleswig-Holstein on 1 January 1980. In 2007, the IPN became an "independent foundation governed by public law".
In 2001, the IPN changed its name to the Leibniz Institute for Science Education (to demonstrate its affiliation to the Leibniz Community); it changed its name again in 2011 to the Leibniz Institute for Science and Mathematics Education at Kiel University.
Activities
Its main purpose is to promote the development of educational research in the field of Natural Science. Among other studies the institute carried out the Programme for International Student Assessment 2003 and 2006, SINUS, ChiK, LeLa, LLL, LUV, System Earth as well as the GLOBE Program.
The IPN is engaged in various German Science Olympiades (Biology, Chemistry, Physics), the (BUW) and the German preliminaries of the International Junior Science Olympiad.
Department
The institute has 202 employees and is structured into seven departments:
Educational Research and Educational Psychology
Educational Measurement
Knowledge Transfer
Biology Education
Chemistry Education
Physics Education
Mathematics Education
as well as the department of paedagogical and psychological methods (part of the department for educational research).
Notable people and projects
In 2017, Katrin Kruse, a scientist at the IPN, supervised the project , where students aged 10 to 16 collected plastic waste in German rivers in a collaboration with the northern German research lab Kieler Forschungswerkstatt.
The DoLiS project, which compares education in Germany to education in Sweden, is a collaboration between Umeå University and the IPN.
References
External links
Social science research institutes
Leibniz Association
Educational research
University of Kiel
Education in Kiel
Gottfried Wilhelm Leibniz |
https://en.wikipedia.org/wiki/Romain%20Bauchet | Romain Bauchet (born 2 May 1994) is a French professional footballer who plays as a forward. He currently plays for US Saint-Omer.
Career statistics
References
1994 births
Living people
People from Saint-Omer
French men's footballers
Men's association football forwards
AS Nancy Lorraine players
SAS Épinal players
Ligue 2 players
Championnat National players
Footballers from Pas-de-Calais |
https://en.wikipedia.org/wiki/Nico%20Karger | Nico Karger (born 1 February 1993) is a German footballer who plays as a forward for FC Deisenhofen.
Career statistics
References
External links
1993 births
Living people
People from Kronach (district)
Footballers from Upper Franconia
German men's footballers
Men's association football forwards
2. Bundesliga players
3. Liga players
Regionalliga players
TSV 1860 Munich II players
TSV 1860 Munich players
SV Elversberg players |
https://en.wikipedia.org/wiki/Vincenzo%20Mollame | Vincenzo Mollame (Naples, 4 July 1848 – Catania, 23 June 1912) was an Italian mathematician.
Mollame was privately tutored by Achille Sanni and then studied Mathematics at the University of Naples Federico II. After obtaining his degree, he became a high-school teacher, first at Benevento and after that at Naples, starting in 1878. He became a professor at the University of Catania in 1880 and remained there for the rest of his career, having retired in 1911, a few months before his death.
His research area was the theory of equations and he proved in 1890 that when a cubic polynomial with rational coefficients has three real roots but it is irreducible in (the so-called casus irreducibilis), then the roots cannot be expressed from the coefficients using real radicals alone, that is, complex non-real numbers must be involved if one expresses the roots from the coefficients using radicals, probably unaware of the fact that Pierre Wantzel had already proved it in 1843. Molleme's research activity stopped in 1896, due to health problems.
Mollame was the author of a textbook on determinants.
Notes
External links
Short biography (in Italian)
1848 births
1912 deaths
Algebraists
19th-century Italian mathematicians |
https://en.wikipedia.org/wiki/Circle%20theorem | Circle theorem may refer to:
Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include:
Inscribed angle theorem.
Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ∠ABC is a right angle.
Alternate segment theorem.
Ptolemy's theorem.
The Milne-Thomson circle theorem in fluid dynamics.
Five circles theorem
Six circles theorem
Seven circles theorem
Gershgorin circle theorem
See also
Clifford's circle theorems
Descartes' theorem also known as 'kissing circles' or 'Soddy circles' theorem
List of circle topics |
https://en.wikipedia.org/wiki/Leo%20Corry | Leo Corry (Hebrew: ליאו קורי, born 1956 in Santiago de Chile) is an Israeli historian of mathematics.
Biography
Corry migrated with his Jewish family to Venezuela when he was two years old. He attended primary and secondary school at Colegio Moral y Luces of Caracas and then at the Universidad Simón Bolívar studied mathematics with licentiate's degree in 1977. He attended graduate school at the University of Tel Aviv. There he received in 1983 his master's degree in mathematics with master's thesis Splitting data in cohomology classes, supervised by Shmuel Rosset, and in 1990 his Ph.D. in the history of science with Ph.D. thesis The origins of category theory as a mathematical discipline, supervised by Sabetai Unguru and Shmuel Rosset. At the University of Tel Aviv, Corry became in 1985 an instructor, in 1996 a lecturer, in 2004 an associate professor and from 2007 a full professor in the Cohn Institute for the History of Science. He was the Director of the Cohn Institute from 2003 to 2009, Director of the Yavetz School of Hisotircal Studies from 2013 to 2015, and Dean of Humanities at TAU between 2015 and 2020. In the academic year 1994–1995, he was fellow at the Dibner Institute for the History of Science and Technology at MIT, for the academic year 1995–1996 at the Max Planck Institute for the History of Science in Berlin and in 2006 at the Wissenschaftskolleg zu Berlin.
Corry has done research on the development of modern algebra and number theory (including computational number theory done by Harry Vandiver, D. H. Lehmer, and Emma Lehmer) and the philosophy of mathematics (including the Bourbaki School). His research has also dealt with Albert Einstein, Hermann Minkowski, David Hilbert and his school, the history of Latin American science, and Jorge Luis Borges. With John Stachel and Jürgen Renn, Corry discovered new documents concerning the priority dispute between Hilbert and Einstein, and these new documents support Einstein against Hilbert.
In 2006, Corry was an invited speaker at the ICM in Madrid with a talk On the origin of Hilbert's sixth problem: physics and the empiricist approach to axiomatization.
From 1999 to 2009 and from 2011 to 2013, he was editor of Science in Context.
Selected publications
Modern algebra and the rise of mathematical structures. Birkhäuser, Science Networks, vol. 17, 1996, 2nd edition 2003
David Hilbert and the Axiomatization of Physics (1898–1918): From Grundlagen der Geometrie to Grundlagen der Physik. Dordrecht: Kluwer, 2004. (also in Archimedes. New Studies in the History and Philosophy of Science and Technology, vol. 10, 2004)
A Brief History of Numbers. New York: Oxford University Press, 2015
References
External links
Leo Corry homepage
Testimonial Project with Members of Coral Universitaria Simón Bolívar (Spanish)
Leo Corry's story in "Historias que Contar" (Spanish)
History of General Relativity Theory
1956 births
Living people
Scientists from Santiago
Tel Aviv University alum |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out.
Herman Long is the all-time leader in errors, committing 1,096 in his career. Bill Dahlen (1,080), Deacon White (1,018), and Germany Smith (1,009) are the only other players to commit over 1,000 career errors. Tommy Corcoran (992), Fred Pfeffer (980), Cap Anson (976), and John Montgomery Ward (952) are the only other players to commit over 900 career errors.
Key
List
References
Major League Baseball statistics
Major League Baseball lists |
https://en.wikipedia.org/wiki/Katunguru%2C%20Tanzania | Katunguru, also Katungulu is an administrative ward in Sengerema District, Mwanza Region, Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 22,848 people in the ward, from 20,284 in 2012.
Villages
The ward has 24 villages.
Magharibi
Uswahilini
Mashariki
Mwambao
Bubinza
Igalagalilo Mashariki
Igalagalilo Magharibu
Nyankolongo
Nyamtelela Kati
Kabingo
Isamilo
Ikolo
Isakulilo
Mabatini
Nkungule "A"
Nkungule "B"
Bugando
Mtakuja
Nyashimba
Madukani
Mwambao
Sokoni
Nyamlege
Mlimani
References
Sengerema District
Wards of Mwanza Region |
https://en.wikipedia.org/wiki/Andrei%20Gabrielov | Andrei Gabrielov is a mathematician who is a professor at Purdue University. He is a fellow of the American Mathematical Society since 2016, for "contributions to real algebraic and analytic geometry, and the theory of singularities, and for contributions to geophysics."
He obtained his Ph.D. from Moscow State University in 1973.
References
External links
Personal page at Purdue
Google Scholar Profile
20th-century Russian mathematicians
Year of birth missing (living people)
Living people
Purdue University faculty
Fellows of the American Mathematical Society
Moscow State University alumni |
https://en.wikipedia.org/wiki/Minnesota%20Timberwolves%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Minnesota Timberwolves.
Franchise leaders
(As of the end of the 2022–23 season)
Bold denotes still active with team.
Italic denotes still active, but not with team.
Games played
Points
Minutes Played
Rebounds
Assists
Steals
Blocks
Field goals
3–Pt Field goals
Free throws
Individual awards
NBA MVP
Kevin Garnett – 2004
NBA Rookie of the Year
Andrew Wiggins – 2015
Karl-Anthony Towns – 2016
NBA Most Improved Player
Kevin Love – 2011
J. Walter Kennedy Citizenship Award
Kevin Garnett – 2006
NBA Sportsmanship Award
Mike Conley – 2023
Twyman–Stokes Teammate of the Year Award
Jamal Crawford – 2018
All-NBA First Team
Kevin Garnett – 2000, 2003, 2004
All-NBA Second Team
Kevin Garnett – 2001, 2002, 2005
Sam Cassell – 2004
Kevin Love – 2012, 2014
All-NBA Third Team
Kevin Garnett – 1999, 2007
Karl-Anthony Towns – 2018, 2022
Jimmy Butler – 2018
NBA All-Defensive First Team
Kevin Garnett – 2000–2005
NBA All-Defensive Second Team
Kevin Garnett – 2006, 2007
Jimmy Butler – 2018
NBA All-Rookie First Team
Pooh Richardson – 1990
Christian Laettner – 1993
Isaiah Rider – 1994
Stephon Marbury – 1997
Wally Szczerbiak – 2000
Randy Foye – 2007
Ricky Rubio – 2012
Andrew Wiggins - 2015
Karl-Anthony Towns – 2016
Anthony Edwards – 2021
NBA All-Rookie Second Team
Felton Spencer – 1991
Kevin Garnett – 1996
Craig Smith – 2007
Kevin Love – 2009
Jonny Flynn – 2010
Wesley Johnson – 2011
Derrick Williams – 2012
Gorgui Dieng – 2014
Zach LaVine - 2015
NBA All-Star Weekend
NBA All-Star Selections
Kevin Garnett – 1997, 1998, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007
Tom Gugliotta – 1997
Wally Szczerbiak – 2002
Sam Cassell – 2004
Kevin Love – 2011, 2012, 2014
Jimmy Butler – 2018
Karl-Anthony Towns – 2018, 2019, 2022
Anthony Edwards – 2023
NBA All-Star Game head coach
Flip Saunders – 2004
NBA All-Star Game MVP
Kevin Garnett – 2003
NBA Rising Stars Challenge MVP
Wally Szczerbiak – 2001
Andrew Wiggins – 2015
Zach LaVine – 2016
NBA Slam Dunk Contest
Isaiah Rider - 1994
Zach LaVine - 2015, 2016
NBA Three-Point Shootout
Kevin Love - 2012
Karl-Anthony Towns - 2022
NBA Skills Challenge
Karl-Anthony Towns - 2016
Franchise record for championships
References
records
National Basketball Association accomplishments and records by team |
https://en.wikipedia.org/wiki/Distribution%20on%20a%20linear%20algebraic%20group | In algebraic geometry, given a linear algebraic group G over a field k, a distribution on it is a linear functional satisfying some support condition. A convolution of distributions is again a distribution and thus they form the Hopf algebra on G, denoted by Dist(G), which contains the Lie algebra Lie(G) associated to G. Over a field of characteristic zero, Cartier's theorem says that Dist(G) is isomorphic to the universal enveloping algebra of the Lie algebra of G and thus the construction gives no new information. In the positive characteristic case, the algebra can be used as a substitute for the Lie group–Lie algebra correspondence and its variant for algebraic groups in the characteristic zero ; for example, this approach taken in .
Construction
The Lie algebra of a linear algebraic group
Let k be an algebraically closed field and G a linear algebraic group (that is, affine algebraic group) over k. By definition, Lie(G) is the Lie algebra of all derivations of k[G] that commute with the left action of G. As in the Lie group case, it can be identified with the tangent space to G at the identity element.
Enveloping algebra
There is the following general construction for a Hopf algebra. Let A be a Hopf algebra. The finite dual of A is the space of linear functionals on A with kernels containing left ideals of finite codimensions. Concretely, it can be viewed as the space of matrix coefficients.
The adjoint group of a Lie algebra
Distributions on an algebraic group
Definition
Let X = Spec A be an affine scheme over a field k and let Ix be the kernel of the restriction map , the residue field of x. By definition, a distribution f supported at x'' is a k-linear functional on A such that for some n. (Note: the definition is still valid if k is an arbitrary ring.)
Now, if G is an algebraic group over k, we let Dist(G) be the set of all distributions on G supported at the identity element (often just called distributions on G). If f, g are in it, we define the product of f and g, demoted by f * g, to be the linear functional
where Δ is the comultiplication that is the homomorphism induced by the multiplication . The multiplication turns out to be associative (use ) and thus Dist(G) is an associative algebra, as the set is closed under the muplication by the formula:
(*)
It is also unital with the unity that is the linear functional , the Dirac's delta measure.
The Lie algebra Lie(G) sits inside Dist(G). Indeed, by definition, Lie(G) is the tangent space to G at the identity element 1; i.e., the dual space of . Thus, a tangent vector amounts to a linear functional on I1 that has no constant term and kills the square of I1 and the formula (*) implies is still a tangent vector.
Let be the Lie algebra of G. Then, by the universal property, the inclusion induces the algebra homomorphism:
When the base field k has characteristic zero, this homomorphism is an isomorphism.
Examples
Additive group
Let be the additive group; i.e., G(R) |
https://en.wikipedia.org/wiki/Darly%20Batista | Darly Noemi Batista (born 8 July 1988) is a Dominican footballer who plays as a forward for Atlético Pantoja in the Liga Dominicana de Fútbol.
Career statistics
International
International goals
Scores and results list Dominican Republic's goal tally first.
References
External links
Darly Batista on LDF
1988 births
Living people
People from Puerto Plata Province
Dominican Republic men's footballers
Men's association football forwards
Dominican Republic men's international footballers
Dominican Republic expatriate men's footballers
Expatriate men's footballers in Haiti
Don Bosco FC players
Bauger FC players
Ligue Haïtienne players
Liga Dominicana de Fútbol players |
https://en.wikipedia.org/wiki/Sirous%20Pourmousavi | Sirous Pourmousavi (, born 27 March 1971) is an Iranian football coach and current manager of Esteghlal Khuzestan.
Statistics
Honours
Assistant manager
Esteghlal Khuzestan
Iran Pro League (1): 2015–16
Azadegan League (1): 2012–13
Manager
Esteghlal Khuzestan
Iranian Super Cup runner-up: 2016
References
Living people
1971 births
Iranian football managers
People from Ahvaz
Sportspeople from Khuzestan province
Persian Gulf Pro League managers |
https://en.wikipedia.org/wiki/Mellen%20Woodman%20Haskell | Mellen Woodman Haskell (March 17, 1863 – January 15, 1948) was an American mathematician, specializing in geometry, group theory, and applications of group theory to geometry.
Education and career
After secondary education at Roxbury Latin School, he received in 1883 his bachelor's degree and in 1885 his M.A. and a Parker Traveling Fellowship from Harvard University. From 1885 to 1889 he studied mathematics at the University of Leipzig and the University of Göttingen, where in 1889 he received, under Felix Klein, his Ph.D. (Promotierung).<ref>{{cite book|url=https://books.google.com/books?id=uMvcfEYr6tsC&pg=PA209|author=Parshall, Karen|authorlink=Karen Parshall|author2=Rowe, David E.|authorlink2=David E. Rowe|title=The Emergence of the American Mathematical Research Community 1876–1900: J. J. Sylvester, Felix Klein, and E. H. Moore|series=AMS/LMS History of Mathematics 8|location= Providence/London|year=1994|pages=209–210|isbn=9780821809075}}</ref> In 1889 Haskell became an instructor at the University of Michigan. At the University of California, Berkeley, he became in 1890 an assistant professor, in 1894 an associate professor, and in 1906 a full professor. In 1909 he became the chair of U. C. Berkeley's mathematics department in succession to Irving Stringham, and remained the chair until retiring as professor emeritus in 1933.
Haskell was an Invited Speaker of the International Congress of Mathematicians in 1924 in Toronto and in 1928 in Bologna.
Selected publications
1890: "Ueber die zu der Curve λ3μ+ μ3ν+ μ3λ= 0 im projectiven Sinne gehörende mehrfache Ueberdeckung der Ebene", American Journal of Mathematics : 1–52.
1892: "Note on resultants", Bulletin of the American Mathematical Society 1: 223–224.
1893: "On the definition of logarithms", Bulletin of the American Mathematical Society 2: 164–167.
1895: On the introduction of the notion of hyperbolic functions, Bulletin of the American Mathematical Society 1: 155–159, from Project Euclid
1903: "On a Certain Rational Cubic Transformation in Space", The American Mathematical Monthly 10(1): 1–3.
1903; "Generalization of a Fundamental Theorem in the Geometry of the Triangle", The American Mathematical Monthly 10(2): 30–33.
1905: "The construction of conics under given conditions", Bulletin of the American Mathematical Society 11: 268–273.
1906: "The resolution of any collineation into perspective reflections", Transactions of the American Mathematical Society 7: 361–369.
1917: "The maximum number of cusps of an algebraic plane curve, and enumeration of self-dual curves", Bulletin of the American Mathematical Society 23: 164–165.
As translator
1893: Felix Klein, "A comparative review of recent researches in geometry", Bulletin of the American Mathematical Society'' 2: 215–249, from Project Euclid (See also Erlangen program.)
References
External links
1863 births
1948 deaths
19th-century American mathematicians
20th-century American mathematicians
Harvard University alu |
https://en.wikipedia.org/wiki/Antonio%20Galves | Jefferson Antonio Galves (18 June 1947 – 5 September 2023) was a Brazilian mathematician, professor of the Institute of Mathematics and Statistics of the University of São Paulo (USP) and member of the Brazilian Academy of Sciences. His field of studies was related to statistical models, in particular models that have stochasticity and variable range of memory. Galves was also the leader of NeuroMat, a research center established in 2013 at USP that is dedicated to integrating mathematical modeling and theoretical neuroscience.
Personal life
Jefferson Antonio Galves was born in São Paulo, Brazil, on 18 June 1947. He was married to Charlotte Galves, and had two daughters and a son. He died in Campinas, São Paulo, on 5 September 2023, at the age of 76.
Education and career
Galves studied for a Bachelors degree in Mathematics at USP in 1964–1968, followed by a Masters in Statistics in 1969–1972, also at USP, with advisor Carlos Alberto Barbosa Dantas. He studied for his PhD in Statistics at USP in 1972–1978, again advised by Carlos Dantas; this included studying for a specialised degree, Diplôme d'Estudes Approfondies, at Pierre and Marie Curie University in 1973–1974, with Jacques Neveu (with which he later established a cooperation program with USP and the University of Rome). He received habilitation from USP in 1988. He was a government employee in 1969–1970, before becoming a public servant in 1970, converting to a Professor in 1990.
He worked in the field of probability and statistics, on statistical models and stochastic systems, particularly Markov Particle Systems. He was a senior professor at the Institute of Mathematics and Statistics, University of São Paulo, where he coordinated NeuroMat (Research, Innovation, and Dissemination Center for Neuromathematics) and the Support Center for Research in Mathematics, Computing, Language and Brain (MaCLinC).
He was a member of the Brazilian Academy of Sciences since 1998. In 2007 he received the Great Cross of the National Order of Scientific Merit. The 26th Brazilian School of Probability in 2023 was held in his honour.
Galves–Löcherbach model
Galves and Eva Löcherbach proposed the Galves–Löcherbach model in 2013. This is a model with intrinsic stochasticity for biological neural nets, in which the probability of a future spike depends on the evolution of the complete system since the last spike. This model of spiking neurons was developed by mathematicians Antonio Galves and Eva Löcherbach. In 2013 they called it a model of a "system with interacting stochastic chains with memory of variable length".
References
1947 births
2023 deaths
Academic staff of the University of São Paulo
Brazilian physicists
Commanders of the National Order of Scientific Merit (Brazil)
Members of the Brazilian Academy of Sciences
People from São Paulo
University of São Paulo alumni |
https://en.wikipedia.org/wiki/Ailles%20rectangle | The Ailles rectangle is a rectangle constructed from four right-angled triangles which is commonly used in geometry classes to find the values of trigonometric functions of 15° and 75°. It is named after Douglas S. Ailles who was a high school teacher at Kipling Collegiate Institute in Toronto.
Construction
A 30°–60°–90° triangle has sides of length 1, 2, and . When two such triangles are placed in the positions shown in the illustration, the smallest rectangle that can enclose them has width and height . Drawing a line connecting the original triangles' top corners creates a 45°–45°–90° triangle between the two, with sides of lengths 2, 2, and (by the Pythagorean theorem) . The remaining space at the top of the rectangle is a right triangle with acute angles of 15° and 75° and sides of , , and .
Derived trigonometric formulas
From the construction of the rectangle, it follows that
and
Variant
An alternative construction (also by Ailles) places a 30°–60°–90° triangle in the middle with sidelengths of , , and . Its legs are each the hypotenuse of a 45°–45°–90° triangle, one with legs of length and one with legs of length . The 15°–75°–90° triangle is the same as above.
See also
Exact trigonometric values
References
Triangle geometry
Types of quadrilaterals |
https://en.wikipedia.org/wiki/Mehran%20Gorbanpour | Mehran Gorbanpour (, born 11 May 1995 in Tabriz) is an Iranian footballer who currently plays for Machine Sazi.
Club career statistics
He started his career with Tractor F.C. in 2015–16 Iran Pro League and played first match for his team against Gostaresh Foolad
References
1995 births
Living people
Iranian men's footballers
Tractor S.C. players
Footballers from Tabriz
Machine Sazi F.C. players
Men's association football forwards |
https://en.wikipedia.org/wiki/Mathematics%20%28album%29 | Mathematics (styled Ma+hematics) is the twelfth studio album by singer-songwriter Melissa Manchester, issued in April 1985.
Details
The album was Manchester's first studio album since leaving Arista Records, her label for ten years, after her 1983 album Emergency. Signed to MCA Records, the album was a progression of that last album, in that it relied more on a synth-pop/new wave sound rather than on her earlier singer-songwriter-styled records.
Roughly half the songs on the record were produced by George Duke, with the rest produced by Brock Walsh and a then-unknown Robbie Nevil. Robbie Buchanan produced the song "Thunder in the Night" (a song co-written by Martin Page and Diane Warren), and Trevor Veitch produced the song "Energy". Veitch also produced the song "So Full of Yourself", which was only released as the b-side to all three singles off the album. Quincy Jones served as executive producer on four songs on the LP.
The song "Just One Lifetime" was sung by Barbra Streisand to James Brolin during their wedding in 1998, and she recorded it for her 1999 album A Love Like Ours. Streisand liked the chorus of the song but not the verses, so it was asked that original songwriters Tom Snow and Manchester herself wrote new lyrics for the verses before recording it, which they duly did.
The album spawned three singles: the uptempo title track "Mathematics" was the first single and peaked at #74 in the Billboard Hot 100, becoming Manchester's last entry to date on that chart. The next two singles, the Hi-NRG track "Energy" (the only one to have a music video) and the ballad "Just One Lifetime", failed to chart. The album itself had limited success and continued Manchester's chart decline, peaking at a low No. 144 in the USA. To date, it is her last album to chart in that country.
On June 17, 2014 Geffen Records released a digital version of the album through iTunes. The album was released on compact disc on November 2, 2018 by Real Gone Music, as a 2-CD set, with the second Disc containing extended mixes of singles, unreleased songs and other material from her MCA years, such as "The Music of Goodbye", a duet with Al Jarreau.
This would be Manchester's only album with MCA Records. Her only other release with the label was in early 1986, when Manchester recorded the song "The Music of Goodbye", a duet with Al Jarreau, for the soundtrack of the film Out of Africa, which was also released as a single. She left the label not long after.
Track listing
Personnel
Melissa Manchester – lead vocals (1-5, 7-10), vocal arrangements (1, 6, 9, 10), all vocals (6), backing vocals (9)
George Duke – Yamaha DX7 (1, 10), Prophet-5 (1, 6, 10), Memorymoog (1, 6, 9), rhythm arrangements (1), Synclavier II (6, 9, 10), Yamaha PF15 (6), arrangements (6, 9, 10), backing vocals (9), acoustic piano (10)
Tommy Faragher – synthesizers (2, 5, 7)
Brock Walsh – synthesizers (2, 4, 7), drums (2, 4, 5, 7), backing vocals (2, 4, 5)
Larry Williams – synthesizers (2), saxo |
https://en.wikipedia.org/wiki/Stephen%20S.%20Kudla | Stephen S. Kudla (born 1950 Caracas, Venezuela) is an American mathematician working in arithmetic geometry and automorphic forms. He is a professor in the Department of Mathematics at the University of Toronto.
Life
After receiving his doctorate, Kudla spent a year at the Institute for Advanced Study in Princeton, following which he joined the faculty at the University of Maryland, College Park. Since 2006, he has been a Canada Research Chair Professor at the University of Toronto.
In 1997, he discovered relationships between the Fourier coefficients of derivatives of Siegel Eisenstein series and arithmetic invariants of Shimura varieties (heights pairings of arithmetic cycles).
He was a Sloan Fellow in 1981, received the Max-Planck Research Award in 2000, and the Jeffery–Williams Prize of the Canadian Mathematical Society in 2009. He was an Invited Speaker at the 2002 International Congress of Mathematicians in Beijing, where he gave a lecture on "Derivatives of Eisenstein series and arithmetic geometry". He is on the Scientific Review Panel of the Pacific Institute for the Mathematical Sciences (PIMS). Since 2004, he has been the co-editor of the Canadian Journal of Mathematics, and the co-organizer of several conferences at the Mathematical Research Institute of Oberwolfach.
Education
Ph.D. State University of New York at Stony Brook 1975; Dissertation: Real Points on Algebraic Varieties Defined by Quaternion Algebras. Advisor: Michio Kuga.
Selected publications
with Michael Rapoport, T. Yang: Modular forms and special cycles on Shimura curves. In: Annals of Mathematics Studies. 161. Princeton University Press, Princeton, NJ, 2006. x+373 pages
References
Living people
20th-century American mathematicians
21st-century American mathematicians
Stony Brook University alumni
1950 births |
https://en.wikipedia.org/wiki/Degeneration%20%28algebraic%20geometry%29 | In algebraic geometry, a degeneration (or specialization) is the act of taking a limit of a family of varieties. Precisely, given a morphism
of a variety (or a scheme) to a curve C with origin 0 (e.g., affine or projective line), the fibers
form a family of varieties over C. Then the fiber may be thought of as the limit of as . One then says the family degenerates to the special fiber . The limiting process behaves nicely when is a flat morphism and, in that case, the degeneration is called a flat degeneration. Many authors assume degenerations to be flat.
When the family is trivial away from a special fiber; i.e., is independent of up to (coherent) isomorphisms, is called a general fiber.
Degenerations of curves
In the study of moduli of curves, the important point is to understand the boundaries of the moduli, which amounts to understand degenerations of curves.
Stability of invariants
Ruled-ness specializes. Precisely, Matsusaka'a theorem says
Let X be a normal irreducible projective scheme over a discrete valuation ring. If the generic fiber is ruled, then each irreducible component of the special fiber is also ruled.
Infinitesimal deformations
Let D = k[ε] be the ring of dual numbers over a field k and Y a scheme of finite type over k. Given a closed subscheme X of Y, by definition, an embedded first-order infinitesimal deformation of X is a closed subscheme X of Y ×Spec(k) Spec(D) such that the projection X → Spec D is flat and has X as the special fiber.
If Y = Spec A and X = Spec(A/I) are affine, then an embedded infinitesimal deformation amounts to an ideal I of A[ε] such that A[ε]/ I is flat over D and the image of I in A = A[ε]/ε is I.
In general, given a pointed scheme (S, 0) and a scheme X, a morphism of schemes : X → S is called the deformation of a scheme X if it is flat and the fiber of it over the distinguished point 0 of S is X. Thus, the above notion is a special case when S = Spec D and there is some choice of embedding.
See also
deformation theory
differential graded Lie algebra
Kodaira–Spencer map
Frobenius splitting
Relative effective Cartier divisor
References
M. Artin, Lectures on Deformations of Singularities – Tata Institute of Fundamental Research, 1976
E. Sernesi: Deformations of algebraic schemes
M. Gross, M. Siebert, An invitation to toric degenerations
M. Kontsevich, Y. Soibelman: Affine structures and non-Archimedean analytic spaces, in: The unity of mathematics (P. Etingof, V. Retakh, I.M. Singer, eds.), 321–385, Progr. Math. 244, Birkh ̈auser 2006.
Karen E Smith, Vanishing, Singularities And Effective Bounds Via Prime Characteristic Local Algebra.
V. Alexeev, Ch. Birkenhake, and K. Hulek, Degenerations of Prym varieties, J. Reine Angew. Math. 553 (2002), 73–116.
External links
http://mathoverflow.net/questions/88552/when-do-infinitesimal-deformations-lift-to-global-deformations
Algebraic geometry |
https://en.wikipedia.org/wiki/List%20of%20Mount%20Everest%20death%20statistics | List of Mount Everest death statistics is a list of statistics about death on Mount Everest.
Youngest people to die on Mount Everest
Examples of known cases
Rahul Panchal (Ghabus), April 25, 2015, 19
Ang Chuldim, August 31, 1982, 20
Lobsang Sherpa, May 7, 2013, 22
Víctor Hugo Trujillo, August 16, 1986, 22
Michael Matthews, May 13, 1999, 22
Andrew Irvine, June 9, 1924, 22
Marco Siffredi, September 8, 2002, 23
Himanshu Kapoor, April 25, 2015, 29
Named corpses
"The German Woman", Hannelore Schmatz
"Green Boots", possibly Tsewang Paljor
"Sleeping Beauty", Francys Arsentiev
Medical and scientific professionals who died on Everest
See also Dr. Beck Weathers, a medical doctor who is famous for narrowly surviving the 1996 Everest Disaster.
Dr. A. M. Kellas (1921, en route to Everest as part of expedition)
Dr. Karl G. Henize (1993), PhD in Astronomy
Dr. Sándor Gárdos (2001), Hungarian team doctor, specialist of high altitude medicine
Dr. Nils Antezana (2004), Pathologist
Dr. Robert Milne (2005), Software Engineer
Dr. Peter Kinloch (2010)
Dr. Eberhard Schaaf (2012), German doctor who died in high altitude
Dr. Charles MacAdams (2016)
Dr. Maria Strydom (2016)
Dr. Roland Yearwood (2017), a medical doctor in Alabama (USA)
Dr. Jonathan Sugarman (2023), a retired medical doctor from Washington State (USA)
Died on descent after summiting
Examples of those who, after summiting, died on the descent down or soon after (not counting other climbs, on the same expedition but does not have to be their first summit)
examples only
Dimitar Ilievski-Murato
Francys Arsentiev
Hannelore Schmatz
Hristo Prodanov
Jozef Psotka
Lobsang Tshering
Marco Siffredi
Pasang Lhamu Sherpa
Ray Genet
Shoko Ota (2004)
Shriya Shah-Klorfine (2012)
Tomas Olsson
Vitor Negrete
Yasuko Namba
Matthew Edward Ball
Deadliest events at Everest
The history of mountaineering expeditions on Mount Everest has evolved since the first official mountaineering expedition trekked up its slopes in 1921. In subsequent decades up to the 1960s, many expeditions were funded by major organizations like the Joint Himalayan Committee and launched in a "siege" style with large climbing parties; although the 1935 and 1938 expeditions were small and low-cost as preferred by Eric Shipton and Bill Tilman.
These early campaigns helped overcome the relatively remote nature and uncharted territory of Everest. These journeys also paved the way for the "lightweight"-style small expeditions that followed. A prime example is the successful 1978 ascent by Reinhold Messner and Peter Habeler, the first without bottled oxygen, and followed by a 1980 solo ascent (also without bottled oxygen) by Messner.
The 80s and 90s saw the emergence and rise in the commercialization of the ascent to Everest's summit. These commercial expeditions range from logistics only (i.e. a permit and some basic base camp supplies) to expensive, professionally guided expeditions promising even laypeople an increased chance of successfully reaching the |
https://en.wikipedia.org/wiki/Bilinski%20dodecahedron | In geometry, the Bilinski dodecahedron is a convex polyhedron with twelve congruent golden rhombus faces. It has the same topology but a different geometry than the face-transitive rhombic dodecahedron. It is a parallelohedron.
History
This shape appears in a 1752 book by John Lodge Cowley, labeled as the dodecarhombus. It is named after Stanko Bilinski, who rediscovered it in 1960. Bilinski himself called it the rhombic dodecahedron of the second kind. Bilinski's discovery corrected a 75-year-old omission in Evgraf Fedorov's classification of convex polyhedra with congruent rhombic faces.
Definition and properties
Definition
The Bilinski dodecahedron is formed by gluing together twelve congruent golden rhombi. These are rhombi whose diagonals are in the golden ratio:
The graph of the resulting polyhedron is isomorphic to the graph of the rhombic dodecahedron, but the faces are oriented differently: one pair of opposite rhombi has their long and short diagonals reversed, relatively to the orientation of the corresponding rhombi in the rhombic dodecahedron.
Symmetry
Because of its reversal, the Bilinski dodecahedron has a lower order of symmetry; its symmetry group is that of a rectangular cuboid: of order 8. This is a subgroup of octahedral symmetry; its elements are: three 2-fold symmetry axes, three symmetry planes (which are also the axial planes of this solid), and a center of inversion symmetry. The rotation group of the Bilinski dodecahedron is of order 4.
Vertices
Like the rhombic dodecahedron, the Bilinski dodecahedron has eight vertices of degree 3 and six of degree 4. It has two apices on the vertical axis, and four vertices on each axial plane. But due to the reversal, its non-apical vertices form two squares (red and green) and one rectangle (blue), and its fourteen vertices in all are of four different kinds:
two degree-4 apices surrounded by four acute face angles (vertical-axis vertices, black in first figure);
four degree-4 vertices surrounded by three acute and one obtuse face angles (horizontal-axial-plane vertices, blue in first figure);
four degree-3 vertices surrounded by three obtuse face angles (one vertical-axial-plane vertices, red in first figure);
four degree-3 vertices surrounded by two obtuse and one acute face angles (other vertical-axial-plane vertices, green in first figure).
Faces
The supplementary internal angles of a golden rhombus are:
acute angle:
obtuse angle:
The faces of the Bilinski dodecahedron are twelve congruent golden rhombi; but due to the reversal, they are of three different kinds:
eight apical faces with all four kinds of vertices,
two side faces with alternate blue and red vertices (front and back in first figure),
two side faces with alternating blue and green vertices (left and right in first figure).
(See also the figure with edges and front faces colored.)
Edges
The 24 edges of the Bilinski dodecahedron have the same length; but due to the reversal, they are of four different kind |
https://en.wikipedia.org/wiki/Bohumil%20Byd%C5%BEovsk%C3%BD | Bohumil Bydžovský (14 March 1880, in Duchcov – 6 May 1969, in Jindřichův Hradec) was a Czech mathematician, specializing in algebraic geometry and algebra.
Education and career
Bydzovsky in 1898 completed his Abitur at the Academic Gymnasium in Prague and then studied mathematics (in particular, geometry taught by Eduard Weyr) and physics at the Charles University in Prague. There Bydzovsky received his Ph.D. (promotion) in 1903 with thesis supervised by Karel Petr. Bydzovksy became a teacher at secondary schools, including the reálce in Prague-Karlín from 1907 to 1910 (with the title of Professor). In 1909 he received his habilitation in mathematics, then lectured at the Polytechnic in Prague, and then in 1911 received his habilitation in engineering. He became in 1917 professor extraordinarius and in 1920 professor ordinarius at the Charles University in Prague. He was in 1930–1931 dean of the Faculty of Sciences and in 1946 rector of the Charles University in Prague. In 1949 he became the chair of the Czechoslovak National Research Council.
Contributions
Bydzovsky wrote undergraduate textbooks in analytic geometry, linear algebra, and algebraic geometry. He did research on infinite groups, the theory of matrices and determinants, and geometric configurations. He also published papers on the history of geometry and mathematics education.
Recognition
He became in 1919 a corresponding member and in 1929 a full member of the Czech Academy of Sciences and Arts and in 1952 a full member of the Czechoslovakian Academy of Sciences. He was an Invited Speaker of the ICM in 1920 in Strasbourg, in 1924 in Toronto, in 1928 in Bologna, and in 1936 in Oslo.
Personal
He married and was the father of two sons.
References
External links
Photos
20th-century Czech mathematicians
Charles University alumni
Rectors of Charles University
Czech mathematicians
1880 births
1969 deaths
People from Duchcov
Mathematicians from Austria-Hungary
Czechoslovak mathematicians |
https://en.wikipedia.org/wiki/Algebra%20extension | In abstract algebra, an algebra extension is the ring-theoretic equivalent of a group extension.
Precisely, a ring extension of a ring R by an abelian group I is a pair (E, ) consisting of a ring E and a ring homomorphism that fits into the short exact sequence of abelian groups:
Note I is then isomorphic to a two-sided ideal of E. Given a commutative ring A, an A-extension or an extension of an A-algebra is defined in the same way by replacing "ring" with "algebra over A" and "abelian groups" with "A-modules".
An extension is said to be trivial or to split if splits; i.e., admits a section that is a ring homomorphism. (see ).
A morphism between extensions of R by I, over say A, is an algebra homomorphism E → E that induces the identities on I and R. By the five lemma, such a morphism is necessarily an isomorphism, and so two extensions are equivalent if there is a morphism between them.
Example: trivial extension
Let R be a commutative ring and M an R-module. Let E = R ⊕ M be the direct sum of abelian groups. Define the multiplication on E by
Note that identifying (a, x) with a + εx where ε squares to zero and expanding out (a + εx)(b + εy) yields the above formula; in particular we see that E is a ring. It is sometimes called the algebra of dual numbers. Alternatively, E can be defined as where is the symmetric algebra of M. We then have the short exact sequence
where p is the projection. Hence, E is an extension of R by M. It is trivial since is a section (note this section is a ring homomorphism since is the multiplicative identity of E). Conversely, every trivial extension E of R by I is isomorphic to if . Indeed, identifying as a subring of E using a section, we have via .
One interesting feature of this construction is that the module M becomes an ideal of some new ring. In his book Local Rings, Nagata calls this process the principle of idealization.
Square-zero extension
Especially in deformation theory, it is common to consider an extension R of a ring (commutative or not) by an ideal whose square is zero. Such an extension is called a square-zero extension, a square extension or just an extension. For a square-zero ideal I, since I is contained in the left and right annihilators of itself, I is a -bimodule.
More generally, an extension by a nilpotent ideal is called a nilpotent extension. For example, the quotient of a Noetherian commutative ring by the nilradical is a nilpotent extension.
In general,
is a square-zero extension. Thus, a nilpotent extension breaks up into successive square-zero extensions. Because of this, it is usually enough to study square-zero extensions in order to understand nilpotent extensions.
See also
Formally smooth map
The Wedderburn principal theorem, a statement about an extension by the Jacobson radical.
References
Further reading
algebra extension at nLab
infinitesimal extension at nLab
Extension of an associative algebra at Encyclopedia of Mathematics
Ring theory |
https://en.wikipedia.org/wiki/Lahoucine%20Kharbouch | Lahoucine Kharbouch (born 14 January 1986) is a French professional footballer who currently plays for SAS Épinal as a midfielder. He previously played in Ligue 2 with Istres.
Career statistics
References
Lahoucine Kharbouch at foot-national.com
1986 births
Living people
People from La Garenne-Colombes
French men's footballers
Men's association football midfielders
Racing Club de France Football players
FC Istres players
Paris FC players
AS Cannes players
AS Beauvais Oise players
SAS Épinal players
Ligue 2 players
Championnat National players
Footballers from Hauts-de-Seine |
https://en.wikipedia.org/wiki/Rivista%20di%20Matematica%20della%20Universit%C3%A0%20di%20Parma | The Rivista di Matematica della Università di Parma (The Mathematical Revue of the University of Parma) is a peer-reviewed mathematics journal published by the Department of Mathematics and Computer Science of the University of Parma, established in 1950. It is devoted to publication of original research and survey papers in all areas of pure and applied mathematics: it also publishes workshops and conferences proceedings, following the tradition behind its foundation.
The journal is abstracted and indexed by Scopus, Mathematical Reviews and Zentralblatt MATH.
Historical notice
Foundation
The journal was founded by Antonio Mambriani in 1950, with the aim to publish the proceedings of the mathematical congress "Analisi funzionale e equazioni differenziali", held in Parma on June 4, 1949. Among the participants there were Renato Caccioppoli, Gianfranco Cimmino, Luigi Fantappiè, Carlo Miranda, Giovanni Sansone, Francesco Severi and Giuseppe Zwirner: all their contributions, except the one of Caccioppoli, were published in the first volume of the Journal, released in the month of December 1950. Caccioppoli's conference, despite a help request sent by Mambriani to Carlo Miranda and the submitting of a shorthand draft to Caccioppoli through Miranda with praise to review and correct it for the publication, remained unpublished until 1999. Along with Mambriani, another person who was in the editorial board of the journal since 1950 was Bianca Manfredi. She cured the scientific aspect of the published papers and their formal appearance up to the least details and, after working at the journal for 25 years along with Mambriani, she served as its director for 17 years, from 1975 to 1991, showing considerable management skills.
Timeline of journal series and editors in chief
At present, eight series of the "Rivista" have been published, each one corresponding approximately to the duration of the period of charge of a given editor in chief. The full list of published series and editors in chief is tabulated below:
Structure
The current by-laws of the journal define its structure: in its present form, it states that the journal is directed by three controlling bodies, i.e. the editor in chief, the redaction committee or "Editorial Board", and the redaction secretariat:
The editor in chief is appointed by the rector of the University of Parma on a proposal of the Board of the Department of Mathematics and Computer Science of the University of Parma, and shall remain in office for four years: the candidate should be a university professor of the department itself, in office or retired.
The Editorial Board should be composed of four university mathematics professors, in office or retired, appointed by the rector on a proposal of the editor in chief and on the advice of Board of the Department of Mathematics and Computer Science: they remain in office for four years and, despite its formal expiry when a new editor in chief is appointed, they should continue |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20UD%20Las%20Palmas%20season | The 2016–17 season was UD Las Palmas 49th season in existence . It covered a period from 1 July 2016 to 30 June 2017.
Squad
Transfers
In
Summer
Loan in
Winter
Statistics
Squad statistics
Goalscorers
Clean sheets
Competitions
Overview
La Liga
League table
Result round by round
Matches
Copa del Rey
Round of 32
Round of 16
Out on loan
Player transfers
Awards
Manager
References
External links
Club's official website
UD Las Palmas
UD Las Palmas seasons |
https://en.wikipedia.org/wiki/Hesse%27s%20principle%20of%20transfer | In geometry, Hesse's principle of transfer () states that if the points of the projective line P1 are depicted by a rational normal curve in Pn, then the group of the projective transformations of Pn that preserve the curve is isomorphic to the group of the projective transformations of P1 (this is a generalization of the original Hesse's principle, in a form suggested by Wilhelm Franz Meyer). It was originally introduced by Otto Hesse in 1866, in a more restricted form. It influenced Felix Klein in the development of the Erlangen program. Since its original conception, it was generalized by many mathematicians, including Klein, Fano, and Cartan.
See also
Rational normal curve
Further reading
Hawkins, Thomas (1988). "Hesses's principle of transfer and the representation of lie algebras", Archive for History of Exact Sciences, 39(1), pp. 41–73.
References
Original reference
Hesse, L. O. (1866). "Ein Uebertragungsprinzip", Crelle's Journal.
Projective geometry
Invariant theory
Group theory
Symmetry
Birational geometry |
https://en.wikipedia.org/wiki/Dupin%20hypersurface | In differential geometry, a Dupin hypersurface is a submanifold in a space form, whose principal curvatures have globally constant multiplicities.
Application
A hypersurface is called a Dupin hypersurface if the multiplicity of each principal curvature is constant on hypersurface and each principal curvature is constant along its associated principal directions. All proper Dupin submanifolds arise as focal submanifolds of proper Dupin hypersurfaces.
References
Differential geometry
Manifolds |
https://en.wikipedia.org/wiki/Douglas%20Wiebe | Douglas James Wiebe is associate professor of epidemiology at the Center for Clinical Epidemiology and Biostatistics in the Perelman School of Medicine at the University of Pennsylvania.
Education
Wiebe received his B.A. in psychology from the University of Calgary in 1991, his M.A. in criminology from Indiana State University in 1996, and his Ph.D. in Social Ecology from the University of California, Irvine in 2000. He then completed postdoctoral studies in injury epidemiology at the UCLA School of Public Health.
Career
From 2009 to 2014 he held an appointment of Visiting Scholar in the Department of Geography at the University of Cambridge, England.
Research
Wiebe's research covers topics such as risk factors for injury, alcohol use, and the effect of daily routines on health behaviors. In 2003, he published a study that concluded that having a gun in the home increased the risk of homicide and suicide. The same study concluded that 41% of gun homicides and 94% of gun suicides would not happen without access to guns. In 2009, he co-authored a study that found that gun owners were more likely to be shot in an assault than were non-gun owners, which has been credited with persuading the United States Congress to extend the 1996 Dickey Amendment to include the National Institutes of Health (which funded the study) two years later. In 2015, he co-authored another study that found that someone's location and how they got there both affected their risk of violent victimization.
Honors, awards and positions
Wiebe is a member of the American College of Epidemiology and of the Board of Directors of SAVIR (Society for the Advancement of Violence and Injury Research), serves as a reviewer for journals including the American Journal of Public Health, American Journal of Epidemiology, British Medical Journal, and Pediatrics, is on the editorial board of the Journal of Trauma, and serves on study sections for the Center for Scientific Review at the NIH, the National Science Foundation, and the Social Science and Humanities Research Council of Canada. He received the Teaching Award in the Masters of Science in Clinical Epidemiology Program in 2008/09, and in the Perelman School of Medicine in 2012 he received the Dean's Award for Excellence in Basic Science Teaching.
References
External links
American epidemiologists
Living people
Perelman School of Medicine at the University of Pennsylvania faculty
University of Calgary alumni
Indiana State University alumni
University of California, Irvine alumni
Gun violence researchers
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Raphinha%20%28footballer%2C%20born%201993%29 | Raphael David Thomaz (born 21 April 1993), commonly known as Raphinha, is a Brazilian professional footballer who plays as a defender for .
Career statistics
References
External links
Living people
1993 births
Footballers from Porto Alegre
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Sport Club Internacional players
Luverdense Esporte Clube players
Bangu Atlético Clube players
Ypiranga Futebol Clube players |
https://en.wikipedia.org/wiki/Amin%20Taghizadeh | Amin Taghizadeh (, born 1994) is an Iranian football defender who plays for Gostaresh Foolad in the Persian Gulf Pro League.
Career statistics
References
Amin Taghizadeh in Iran Pro League
Living people
Footballers from Tabriz
Iranian men's footballers
Men's association football defenders
Gostaresh Foulad F.C. players
1994 births |
https://en.wikipedia.org/wiki/Yuki%20Sato%20%28footballer%29 | is a Japanese football player for FC Kariya.
Club statistics
Updated to 23 February 2020.
1Includes Promotion Playoffs to J2.
References
External links
Profile at Nagano Parceiro
1988 births
Living people
Kansai University alumni
Association football people from Nara Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
AC Nagano Parceiro players
FC Kariya players
Men's association football forwards |
https://en.wikipedia.org/wiki/Advanced%20calculus | In mathematics, advanced calculus can refer to
Multivariable calculus
Mathematical analysis; specifically, real analysis
A branch of calculus that goes beyond multivariable calculus; for this, see Calculus on Euclidean space |
https://en.wikipedia.org/wiki/Jimmy%20Reyes | Jimmy Reyes Bautista (born 10 June 1983) is a Dominican footballer who plays as a midfielder for Universidad O&M F.C. in the Liga Dominicana de Fútbol.
Career statistics
International
References
External links
Jimmy Reyes on LDF
1983 births
Living people
Dominican Republic men's footballers
Dominican Republic men's international footballers
Men's association football midfielders
San Cristóbal FC players
Atlético Pantoja players
O&M FC players
Atlético Vega Real players
Club Barcelona Atlético players
Liga Dominicana de Fútbol players
Sportspeople from San Cristóbal, Dominican Republic
CA San Cristóbal players |
https://en.wikipedia.org/wiki/Yuki%20Kagawa | is a Japanese football player, who plays for Oita Trinita as a defender.
Career
After attending Hannan University, Kagawa was signed in 2015 by Renofa Yamaguchi.
Club statistics
Updated to 1 August 2022.
References
External links
1992 births
Living people
Hannan University alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Renofa Yamaguchi FC players
V-Varen Nagasaki players
Tokyo Verdy players
Oita Trinita players
Men's association football defenders |
https://en.wikipedia.org/wiki/Andrei%20Burlacu | Andrei Burlacu (born 12 January 1997) is a Romanian professional footballer who plays as a forward for Liga II club CSM Reșița.
Career statistics
Club
Honours
Universitatea Craiova
Cupa României: 2017–18
Supercupa României runner-up: 2018
References
External links
1997 births
Living people
Sportspeople from Botoșani
Romanian men's footballers
Men's association football forwards
Romania men's under-21 international footballers
Liga I players
Liga II players
CS Universitatea Craiova players
FC Politehnica Iași (2010) players
AFC Chindia Târgoviște players
CS Concordia Chiajna players
FC Steaua București players
CS Mioveni players
FC Botoșani players
CSM Reșița players |
https://en.wikipedia.org/wiki/Sven%20Dag%20Wicksell | Sven Dag Wicksell (22 October 1890, Stockholm – 20 February 1939, Lund) was a Swedish professor of statistics at Lund University.
Biography
In 1915 he received his Ph.D. (promotion), with supervisor Carl Charlier, from Lund University. There Wicksell became in 1915 a docent (lecturer) and in 1926 Lund University's first professor of statistics, a professorial chair that was created thanks to Wicksell's mentor Charlier. Wicksell did research on mathematical statistics, astronomical statistics and demographics. Upon his death in 1939, his professorial chair remained vacant until 1941 when Carl-Erik Quensel became his successor.
In 1928 Wicksell was an Invited Speaker at the ICM in Bologna. He was elected in 1939 as member number 870 of Kungliga Vetenskapsakademien.
His parents were the economist Knut Wicksell and the feminist Anna Bugge. Sven Wicksell was married from 1913 to Ingrid Anderson (1890–1979), daughter of a grain merchant. Their son Finn Wicksell became a prominent obstetrician and gynecologist.
Selected works
with Carl Vilhelm Ludwig Charlier:
References
External links
Sven Wicksell at libris.kb.se.
Swedish statisticians
Lund University alumni
Academic staff of Lund University
1890 births
1939 deaths |
https://en.wikipedia.org/wiki/Francesco%20Maria%20De%20Regi | Francesco Maria De Regi (Milan, 1720 – 1794) was an Italian mathematician.
He was a Barnabite priest. He worked particularly on hydraulic engineering. At twenty-four he took the chair of mathematics, specially created for him, in the school of the Collegio of Sant'Alessandro in Milan.
Works
References
External links
1720 births
1794 deaths
18th-century Italian mathematicians
Barnabites
Hydraulic engineers
Scientists from Milan |
https://en.wikipedia.org/wiki/2013%E2%80%9314%20Rochdale%20A.F.C.%20season | The 2013–14 season was the 93rd season of competitive football for Rochdale, and their second consecutive season in League Two.
League table
Statistics
|}
Match details
Pre-season friendlies
League Two
FA Cup
League Cup
Football League Trophy
References
http://www.soccerbase.com/teams/team.sd?team_id=2175
Rochdale A.F.C. seasons
Rochdale |
https://en.wikipedia.org/wiki/Linear%20recurrence%20with%20constant%20coefficients | In mathematics (including combinatorics, linear algebra, and dynamical systems), a linear recurrence with constant coefficients (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence. The polynomial's linearity means that each of its terms has degree 0 or 1. A linear recurrence denotes the evolution of some variable over time, with the current time period or discrete moment in time denoted as , one period earlier denoted as , one period later as , etc.
The solution of such an equation is a function of , and not of any iterate values, giving the value of the iterate at any time. To find the solution it is necessary to know the specific values (known as initial conditions) of of the iterates, and normally these are the iterates that are oldest. The equation or its variable is said to be stable if from any set of initial conditions the variable's limit as time goes to infinity exists; this limit is called the steady state.
Difference equations are used in a variety of contexts, such as in economics to model the evolution through time of variables such as gross domestic product, the inflation rate, the exchange rate, etc. They are used in modeling such time series because values of these variables are only measured at discrete intervals. In econometric applications, linear difference equations are modeled with stochastic terms in the form of autoregressive (AR) models and in models such as vector autoregression (VAR) and autoregressive moving average (ARMA) models that combine AR with other features.
Definitions
A linear recurrence with constant coefficients is an equation of the following form, written in terms of parameters and :
or equivalently as
The positive integer is called the order of the recurrence and denotes the longest time lag between iterates. The equation is called homogeneous if and nonhomogeneous if .
If the equation is homogeneous, the coefficients determine the characteristic polynomial (also "auxiliary polynomial" or "companion polynomial")
whose roots play a crucial role in finding and understanding the sequences satisfying the recurrence.
Conversion to homogeneous form
If , the equation
is said to be nonhomogeneous. To solve this equation it is convenient to convert it to homogeneous form, with no constant term. This is done by first finding the equation's steady state value—a value such that, if successive iterates all had this value, so would all future values. This value is found by setting all values of equal to in the difference equation, and solving, thus obtaining
assuming the denominator is not 0. If it is zero, the steady state does not exist.
Given the steady state, the difference equation can be rewritten in terms of deviations of the iterates from the steady state, as
which has no constant term, and which can be written more succinctly as
w |
https://en.wikipedia.org/wiki/Francisco%20Gomes%20Teixeira | Francisco Gomes Teixeira (28 January 1851, São Cosmado, Armamar – 8 February 1933, Porto) was a Portuguese mathematician and historian of mathematics.
Biography
In 1876 he became a corresponding member of the Academia Real das Ciências de Lisboa.
He published over 140 articles in prestigious international scientific journals. Before the year 1890 most of his publications were on mathematical analysis but from 1890 onwards most were on geometry.
He was named the third astronomer of the Observatório Astronómico de Lisboa in 1878, but only held this positions for about four months before returning to the University of Coimbra.
He was elected a parliamentary deputy by the Partido Regenerador in 1879 and participated in sessions of Parliament for that year and also in 1883 and 1884. In November 1879 he was put in charge of the University of Coimbra's chair of mathematical analysis and in February 1880 was formally appointed to this professorial chair.
In 1884 Gomes Teixeira was appointed to the chair of differential and integral calculus of the Academia Politécnica do Porto. In 1905 the Jornal de Sciencias Mathematicas e Astronomicas (founded by Gomes in 1877) was integrated into the newly created Anais Scientificos da Academia Politécnica do Porto.
His Tratado de las Curvas Especiales Notables won an award in 1899 from the Spanish Royal Academy of Sciences. A 3-volume French translation (with additions) was published in 1908 and 1909 as Traité des Courbes Spéciales Remarquables Planes et Gauches. He received in 1917 the prix Binoux d'histoire des sciences from the French Academy of Sciences.
Gomes Teixeira received honorary doctorates from the University of Madrid and the University of Toulouse. In 1911 at the newly formed University of Porto he became the first rector, retiring in 1917.
His body is entombed in the Igreja Matriz de São Cosmado. The tomb consists of a granite sarcophagus with the following inscription:
SERAPHICO FRANCISCO ASSISIENSI
atque
DIVO ANTONIO OLYSIPPONENSI
hoc monumentum erexit
FRANCISCUS GOMES TEIXEIRA
qui hi jacet.
(Divo Antonio is Latin for St. Anthony. Olissipóna was the ancient name for Lisbon. Gomes Teixeira wrote a 1931 book Santo António de Lisboa (história, tradição e lenda) and a 1926 book Santuários de montahna (impressões de viagens.)
Eponymous tributes
Praça de Gomes Teixeira (Gomes Teixeira Square), Porto
Rua Professor Doutor Francisco Gomes Teixeira, Porto
Rua Professor Doutor Francisco Gomes Teixeira em Carnaxide, Oeiras
Rua Francisco Gomes Teixeira em Setúbal, Setúbal
Sala Gomes Teixeira: Piso 4 Edifíco da Reitoria da Universidade do Porto
Agrupamento de Escolas Gomes Teixeira-Praça da Galiza, 4150-344 Porto
Escola básica dos 2.º e 3.º ciclos Gomes Teixeira - Armamar
approximate location of the statue of Dr. Gomes Teixeira in the village of São Cosmado from Google Street View
Selected publications
; ; . translated into French from the Spanish version but with revisions and extensive additions. Re- |
https://en.wikipedia.org/wiki/School%20of%20Science%2C%20Technology%2C%20Engineering%20and%20Mathematics | The School of Science, Technology, Engineering and Mathematics is a four-year public high school in Paterson in Passaic County, New Jersey, United States, operated as part of the Paterson Public Schools. It is one of a number of academy programs serving students in ninth through twelfth grades based at the John F. Kennedy High School campus.
As of the 2020–21 school year, the school had an enrollment of 625 students and 40.0 classroom teachers (on an FTE basis), for a student–teacher ratio of 15.6:1. There were 341 students (54.6% of enrollment) eligible for free lunch and none eligible for reduced-cost lunch.
Awards, recognition and rankings
The school was the 265th-ranked public high school in New Jersey out of 339 schools statewide in New Jersey Monthly magazine's September 2014 cover story on the state's "Top Public High Schools", using a new ranking methodology.
Administration
The school's principal is Dr. Dante Petretti.
References
External links
School website
Paterson Public Schools
School Data for the Paterson Public Schools, National Center for Education Statistics
Education in Paterson, New Jersey
Public high schools in Passaic County, New Jersey |
https://en.wikipedia.org/wiki/Local%20twistor | In differential geometry, the local twistor bundle is a specific vector bundle with connection that can be associated to any conformal manifold, at least locally. Intuitively, a local twistor is an association of a twistor space to each point of space-time, together with a conformally invariant connection that relates the twistor spaces at different points. This connection can have holonomy that obstructs the existence of "global" twistors (that is, solutions of the twistor equation in open sets).
Construction
Let M be a pseudo-Riemannian conformal manifold with a spin structure and a conformal metric of signature (p,q). The conformal group is the pseudo-orthogonal group . There is a conformal Cartan connection on a bundle, the tractor bundle, of M. The spin group of admits a fundamental representation, the spin representation, and the associated bundle is the local twistor bundle.
Representation via Weyl spinors
Local twistors can be represented as pairs of Weyl spinors on M (in general from different spin representations, determined by the reality conditions specific to the signature). In the case of a four-dimensional Lorentzian manifold, such as the space-time of general relativity, a local twistor has the form
Here we use index conventions from , and and are two-component complex spinors for the Lorentz group .
Local twistor transport
The connection, sometimes called local twistor transport, is given by
Here is the canonical one-form and the Schouten tensor, contracted on one index with the canonical one-form. An analogous equation holds in other dimensions, with appropriate Clifford algebra multipliers between the two Weyl spin representations . In this formalism, the twistor equation is the requirement that a local twistor be parallel under the connection.
Canonical filtration
In general, the local twistor bundle T is equipped with a short exact sequence of vector bundles
where and are two Weyl spin bundles. The bundle is a distinguished sub-bundle, that corresponds to the marked point of contact of the conformal Cartan connection. That is, there is a canonical marked one-dimensional subspace X in the tractor bundle, and is the annihilator of X under Clifford multipliction. In four dimensions, is the space of spinors and the space of . Under the Plücker embedding, the tractor bundle in four dimensions is isomorphic to the exterior square of the local twistor bundle, and consists of all the twistors incident with
where is the symplectic form on .
Curvature
The curvature of the local twistor connection involves both the Weyl curvature and the Cotton tensor. (It is the Cartan conformal curvature.) The curvature preserves the space , and on it involves only the conformally-invariant Weyl curvature.
References
Spinors |
https://en.wikipedia.org/wiki/Generating%20set%20of%20a%20module | In mathematics, a generating set Γ of a module M over a ring R is a subset of M such that the smallest submodule of M containing Γ is M itself (the smallest submodule containing a subset is the intersection of all submodules containing the set). The set Γ is then said to generate M. For example, the ring R is generated by the identity element 1 as a left R-module over itself. If there is a finite generating set, then a module is said to be finitely generated.
This applies to ideals, which are the submodules of the ring itself. In particular, a principal ideal is an ideal that has a generating set consisting of a single element.
Explicitly, if Γ is a generating set of a module M, then every element of M is a (finite) R-linear combination of some elements of Γ; i.e., for each x in M, there are r1, ..., rm in R and g1, ..., gm in Γ such that
Put in another way, there is a surjection
where we wrote rg for an element in the g-th component of the direct sum. (Coincidentally, since a generating set always exists, e.g. M itself, this shows that a module is a quotient of a free module, a useful fact.)
A generating set of a module is said to be minimal if no proper subset of the set generates the module. If R is a field, then a minimal generating set is the same thing as a basis. Unless the module is finitely generated, there may exist no minimal generating set.
The cardinality of a minimal generating set need not be an invariant of the module; Z is generated as a principal ideal by 1, but it is also generated by, say, a minimal generating set }. What is uniquely determined by a module is the infimum of the numbers of the generators of the module.
Let R be a local ring with maximal ideal m and residue field k and M finitely generated module. Then Nakayama's lemma says that M has a minimal generating set whose cardinality is . If M is flat, then this minimal generating set is linearly independent (so M is free). See also: Minimal resolution.
A more refined information is obtained if one considers the relations between the generators; see Free presentation of a module.
See also
Countably generated module
Flat module
Invariant basis number
References
Dummit, David; Foote, Richard. Abstract Algebra.
Abstract algebra |
https://en.wikipedia.org/wiki/2016%20Puerto%20Rico%20Soccer%20League%20season | The 2016 Puerto Rico Soccer League season is the 8th season as Puerto Rico's top-division football league.
Teams
Standings
Apertura
Clausura
Playoffs
Player statistics
Apertura Season Top Scorers
Clausura Season Top Scorers
References
External links
Puerto Rico Soccer League seasons
2016 in association football
2016 in Puerto Rican football |
https://en.wikipedia.org/wiki/1999%E2%80%932000%20FC%20Porto%20season | This article shows the statistics of FC Porto in the competitions and matches played during the 1999–2000 season.
Season summary
FC Porto reached the UEFA Champions League quarter-final.
Kit
Porto's kit was manufactured by Italian kit manufacturer Kappa and sponsored by Portuguese ceramics producer Revigrés.
First team squad
Results
Supertaça Cândido de Oliveira
Primeira Liga
League table
Taça de Portugal
Knockout stage
Final
UEFA Champions League
First group stage
Second group stage
Knockout stage
Quarter-finals
References
FC Porto seasons
Porto |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.