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https://en.wikipedia.org/wiki/Aram%20Hasanzada | Aram Hasanzada (; born April 22, 1994) is an Kurdish-Finnish footballer.
Career statistics
References
1994 births
Living people
Finnish men's footballers
Iranian men's footballers
Kurdish men's footballers
Finnish people of Iranian descent
Finnish people of Kurdish descent
JJK Jyväskylä players
Kokkolan Palloveikot players
Veikkausliiga players
Ykkönen players
Kakkonen players
Sportspeople of Iranian descent
Men's association football midfielders
People from East Azerbaijan Province |
https://en.wikipedia.org/wiki/United%20States%20Virgin%20Islands%20national%20soccer%20team%20results | This page details the match results and statistics of the United States Virgin Islands national soccer team.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
U.S. Virgin Islands' score is shown first in each case.
Notes
Record by opponent
References |
https://en.wikipedia.org/wiki/Minoru%20Tomita | was a Japanese mathematician who made significant contributions to the theory of operator algebras.
He became deaf at the age of two. He was described as a "very singular" personality.
Although he published relatively little, his 1967 manuscript on the theory of modular automorphisms of von Neumann algebras was of major importance in the field. The manuscript was difficult to understand, but Masamichi Takesaki was able to revise it. In the summer of 1967 Takesaki communicated the results to Jacques Dixmier, and they became a major influence on the work of his student Alain Connes on the classification of type III factors. The theory later became known as Tomita-Takesaki theory.
References
20th-century Japanese mathematicians
21st-century Japanese mathematicians
1924 births
2015 deaths |
https://en.wikipedia.org/wiki/Zero-divisor%20graph | In mathematics, and more specifically in combinatorial commutative algebra, a zero-divisor graph is an undirected graph representing the zero divisors of a commutative ring. It has elements of the ring as its vertices, and pairs of elements whose product is zero as its edges.
Definition
There are two variations of the zero-divisor graph commonly used.
In the original definition of , the vertices represent all elements of the ring. In a later variant studied by , the vertices represent only the zero divisors of the given ring.
Examples
If is a semiprime number (the product of two prime numbers)
then the zero-divisor graph of the ring of integers modulo (with only the zero divisors as its vertices) is either a complete graph or a complete bipartite graph.
It is a complete graph in the case that for some prime number . In this case the vertices are all the nonzero multiples of , and the product of any two of these numbers is zero modulo .
It is a complete bipartite graph in the case that for two distinct prime numbers and . The two sides of the bipartition are the nonzero multiples of and the nonzero multiples of , respectively. Two numbers (that are not themselves zero modulo ) multiply to zero modulo if and only if one is a multiple of and the other is a multiple of , so this graph has an edge between each pair of vertices on opposite sides of the bipartition, and no other edges. More generally, the zero-divisor graph is a complete bipartite graph for any ring that is a product of two integral domains.
The only cycle graphs that can be realized as zero-product graphs (with zero divisors as vertices) are the cycles of length 3 or 4.
The only trees that may be realized as zero-divisor graphs are the stars (complete bipartite graphs that are trees) and the five-vertex tree formed as the zero-divisor graph of .
Properties
In the version of the graph that includes all elements, 0 is a universal vertex, and the zero divisors can be identified as the vertices that have a neighbor other than 0.
Because it has a universal vertex, the graph of all ring elements is always connected and has diameter at most two. The graph of all zero divisors is non-empty for every ring that is not an integral domain. It remains connected, has diameter at most three, and (if it contains a cycle) has girth at most four.
The zero-divisor graph of a ring that is not an integral domain is finite if and only if the ring is finite. More concretely, if the graph has maximum degree , the ring has at most elements.
If the ring and the graph are infinite, every edge has an endpoint with infinitely many neighbors.
conjectured that (like the perfect graphs) zero-divisor graphs always have equal clique number and chromatic number. However, this is not true; a counterexample was discovered by .
References
Commutative algebra
Application-specific graphs |
https://en.wikipedia.org/wiki/World%20Area%20Codes | The Bureau of Transportation Statistics (BTS), as part of the United States Department of Transportation (US DOT), maintains a list of U.S. state and country codes, named World Area Codes (WAC).
(U.S.) State and (world) country codes
References
Sources and external links
http://www.transtats.bts.gov/Fields.asp
http://www.transtats.bts.gov/DL_SelectFields.asp?Table_ID=315&DB_Short_Name=Aviation%20Support%20Tables
http://github.com/opentraveldata/opentraveldata/tree/master/data/countries/DOT
Country codes
Location codes |
https://en.wikipedia.org/wiki/Norman%20Miniti | Norman Miniti (born 23 February 1992) is a Solomon Islands international footballer who plays as a midfielder for Telekom S-League side Real Kakamora.
Career statistics
International
References
1992 births
Living people
Solomon Islands men's footballers
Solomon Islands men's international footballers
Men's association football midfielders |
https://en.wikipedia.org/wiki/Boni%20Pride | Boni Pride (born 10 September 1995) is a Solomon Islands international footballer who plays as a defender for Telekom S-League side Henderson Eels.
Career statistics
International
Personal life
Boni Pride is the younger brother of fellow Solomon Islands footballer Joses Nawo.
References
1995 births
Living people
Solomon Islands men's footballers
Solomon Islands men's international footballers
Men's association football defenders |
https://en.wikipedia.org/wiki/Jimmy%20W%C3%A9l%C3%A9pane | Jimmy Wélépane (born 5 January 1999) is a New Caledonian international footballer who plays as a defender for New Caledonia Super Ligue side AS Lössi.
Career statistics
International
References
1999 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football defenders
AS Lössi players |
https://en.wikipedia.org/wiki/Elo%20Gow%C3%A9 | Elo Gowé (born 13 August 1999) is a New Caledonian international footballer who plays as a defender for New Caledonia Super Ligue side AS Mont-Dore.
Career statistics
International
References
1999 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football defenders
AS Mont-Dore players |
https://en.wikipedia.org/wiki/Maki%20Romone | Maki Romone (born 28 May 1998) is a New Caledonian international footballer who plays as a defender for New Caledonia Super Ligue side AS Wetr.
Career statistics
International
References
1998 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football defenders |
https://en.wikipedia.org/wiki/Dominique%20Wel | Dominique Wel (born 16 June 1997) is a New Caledonian international footballer who plays as a defender for New Caledonia Super Ligue side AS Métropole.
Career statistics
International
References
1997 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football defenders |
https://en.wikipedia.org/wiki/Johannes%20Bernole | Johannes Bernole (born 8 May 1998) is a New Caledonian international footballer who plays as a defender for New Caledonia Super Ligue side Hienghène Sport.
Career statistics
International
References
1998 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football defenders
Hienghène Sport players |
https://en.wikipedia.org/wiki/Ritchi%20Iwa | Ritchi Iwa (born 31 August 1999) is a New Caledonian international footballer who plays as a midfielder for New Caledonia Super Ligue side FC Païta.
Career statistics
International
References
1999 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football midfielders |
https://en.wikipedia.org/wiki/Henri%20Boucheron | Henri Boucheron (born 20 May 1998) is a New Caledonian international footballer who plays as a forward for New Caledonia Super Ligue side AS Magenta.
Career statistics
International
References
1998 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football forwards
AS Magenta players |
https://en.wikipedia.org/wiki/Ca%C3%BC%20Poanoui | Caü Poanoui (born 14 March 1998) is a New Caledonian international footballer who plays as a forward for New Caledonia Super Ligue side AS Mont-Dore.
Career statistics
International
References
1998 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football forwards
AS Mont-Dore players |
https://en.wikipedia.org/wiki/Jean-Jacques%20Katrawa | Jean-Jacques Katrawa (born 2 August 1999) is a New Caledonian international footballer who plays as a forward for New Caledonia Super Ligue side FC Païta.
Career statistics
International
References
1999 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football forwards |
https://en.wikipedia.org/wiki/Jean%20Baptiste%20Waitre%C3%BC | Jean Baptiste Waitreü (born 23 January 1997) is a New Caledonian international footballer who plays as a forward for New Caledonia Super Ligue side Gaïtcha FCN.
Career statistics
International
International goals
Scores and results list New Caledonia's goal tally first.
References
1997 births
Living people
New Caledonian men's footballers
New Caledonia men's international footballers
Men's association football forwards
Gaïtcha FCN players |
https://en.wikipedia.org/wiki/Marzio%20Nessi | Marzio Nessi (born 1957 in Muralto, Switzerland), is an experimental physicist with a focus on high-energy and high-intensity particle physics.
Nessi studied mathematics and physics at ETH Zurich (Switzerland) where he obtained his Ph.D. degree on an experiment at Lawrence Berkeley National Laboratory.
Since 1989, he has been working at CERN. He has been the coordinator of the CERN Neutrino Platform (CENF) and a titular professor in the physics department of the University of Geneva.
Biography and scientific career
Marzio Nessi received his undergraduate and graduate education at ETH Zurich, studying mathematics and physics. After obtaining his Ph.D. degree and a short period as a postdoctoral research scientist at ETH, working on medium energy physics and accelerator-based mass spectrometry, he moved to Rice University in Houston, USA. There, he changed the focus of his research towards experimental particle physics. During his time in the USA, Nessi participated in experiments at Brookhaven National Laboratory, Fermilab, Los Alamos and CERN.
In 1989, he transferred to CERN as a research fellow, becoming a staff physicist soon after. Since then, he has been involved in various experiments. He took part in the UA2 experiment and was spokesman of the RD34 project.
Marzio Nessi contributed to the ATLAS experiment from its beginning on. He was a founder and later project leader of the ATLAS tile calorimeter as well as overall ATLAS technical coordinator. He served as ATLAS project manager from 2000 until 2013, when the Higgs boson was discovered.
Since 2011 he has been a titular professor in the physics department of the University of Geneva, and for ten years he has been the general coordinator of the CERN Neutrino Platform (CENF), which he founded in 2012.
Since April 2014, he is the Scientific Director of the Journal of Instrumentation.
In 2014 he co-founded the CERN IdeaSquare innovation platform, which became the basis of the European Union ATTRACT programme and the GRADE research programme.
Since the beginning of the LBNF/DUNE research programme, Marzio Nessi became involved in the US neutrino program. This meant first rebuilding at CERN the ICARUS detector and installing it at Fermilab, then participating in the SBND Fermilab experiment, leading the Liquid Argon membrane cryostat and cryogenics construction.
In 2020 he has been asked by the Italian INFN president to become the construction director for the experiment DARKSIDE-20K at LNGS.
Since the creation of the LBNF/DUNE neutrino programme in 2014, Marzio Nessi took a leading role in the definition and R&D of the far detectors, promoting and supporting the concept of protoDUNE, which has given a strong realistic basis to the entire neutrino US program. In 2017 he took the leadership in defining all integration and installation activities of the LBNF/DUNE far detectors.
In 2019 he was appointed Deputy Project Director of LBNF/DUNE, responsible for all activities related to the |
https://en.wikipedia.org/wiki/Kevin%20Sawchak | Kevin Sawchak (born November 16, 1988) is an American soccer coach and former player who currently serves as an assistant coach for MLS Next Pro side Crown Legacy.
Career statistics
Club
Notes
References
External links
Men's association football defenders
Men's association football midfielders
American men's soccer players
American expatriate men's soccer players
UAB Blazers men's soccer players
Atlanta Blackhawks players
Myllykosken Pallo −47 players
Ekenäs IF players
Kotkan Työväen Palloilijat players
FC Honka players
FC KooTeePee players
North American Soccer League (2011–2017) players
Veikkausliiga players
Kakkonen players
Ykkönen players
Expatriate men's footballers in Finland
Soccer players from Atlanta
1988 births
Living people
American expatriate sportspeople in Finland
USL League One coaches
Northern Colorado Hailstorm FC
Chattanooga Red Wolves SC |
https://en.wikipedia.org/wiki/Ethnostatistics | Ethnostatistics is the study of the social activity of producing and using statistics. The premise of the area of study is that statistics are themselves not neutral facts, but are themselves influenced by the social biases of the persons involved in their production. The concept was suggested in John Kitsuse or Aaron Cicourel in their 1962 article, "A Note on Official Statistics", published in Social Problems, where they suggested that "criminal statistics" are indicative of the social organization of the agencies responsible for assembling them. The concept was developed by sociologist Robert Gephart in his 1988 book, Ethnostatistics. The field of study "uses concepts from ethnomethodology to study sensemaking practices that social scientists employ in the production, interpretation, and display of statistics created in social research". As of the early 2000s, there were three "levels" of ethnostatistics, the first examining the social production of statistics, the second using computer simulations to examine the degree to which methods of gathering statistics may distort data, and third examining the persuasive effect of statistics on their end consumer.
References
Ethnography
Philosophy of statistics |
https://en.wikipedia.org/wiki/Filtration%20%28probability%20theory%29 | In the theory of stochastic processes, a subdiscipline of probability theory, filtrations are totally ordered collections of subsets that are used to model the information that is available at a given point and therefore play an important role in the formalization of random (stochastic) processes.
Definition
Let be a probability space and let be an index set with a total order (often , , or a subset of ).
For every let be a sub-σ-algebra of . Then
is called a filtration, if for all . So filtrations are families of σ-algebras that are ordered non-decreasingly. If is a filtration, then is called a filtered probability space.
Example
Let be a stochastic process on the probability space .
Let denote the σ-algebra generated by the random variables .
Then
is a σ-algebra and is a filtration.
really is a filtration, since by definition all are σ-algebras and
This is known as the natural filtration of with respect to .
Types of filtrations
Right-continuous filtration
If is a filtration, then the corresponding right-continuous filtration is defined as
with
The filtration itself is called right-continuous if .
Complete filtration
Let be a probability space and let,
be the set of all sets that are contained within a -null set.
A filtration is called a complete filtration, if every contains . This implies is a complete measure space for every (The converse is not necessarily true.)
Augmented filtration
A filtration is called an augmented filtration if it is complete and right continuous. For every filtration there exists a smallest augmented filtration refining .
If a filtration is an augmented filtration, it is said to satisfy the usual hypotheses or the usual conditions.
See also
Natural filtration
Filtration (mathematics)
Filter (mathematics)
References
Probability theory |
https://en.wikipedia.org/wiki/Iossif%20Ostrovskii | Iossif Vladimirovich Ostrovskii (, , 6 April 1934 – 29 November 2020, in Ankara) was a Soviet and Ukrainian mathematician who made significant contributions to function theory and probability theory, Corresponding Member of the National Academy of Sciences of Ukraine (1978).
Biography
Iossif Vladimirovich Ostrovskii was born 6 April 1934 in Dnipropetrovsk (now Dnipro). He obtained a degree at National University of Kharkiv in 1956, and entered post-graduate studies, where his supervisor was Boris Yakovlevich Levin. In 1959 he defended his PhD thesis The connection between the growth of a meromorphic function and the distribution of its values by arguments. In 1965 he defended his doctoral thesis Asymptotic properties of entire and meromorphic functions and some of their applications. From 1958 to 1985 he worked at National University of Kharkiv, since 1969 as the head of the Department of Function Theory. From 1986 to 2001 he headed the Department of Function Theory at Verkin Institute for Low Temperature Physics and Engineering.
From 1993 to 2010, he was Professor of the University of Bilkent (Ankara, Turkey).
In 1978 he became the Corresponding Member of the Academy of Sciences of USR (now of the NAS of Ukraine).
Ostrovskii was married to mathematician Larisa Semenovna Kudina. Their children Sofiya Ostrovska and Mikhail Ostrovskii also became mathematicians.
Awards
In 1992 he received the State Prize of the Ukrainian SSR for his work in the theory of functions (together with B. Ya. Levin and A. A. Goldberg).
References
External links
History of the Department of Function Theory at B.Verkin ILTPE of the National Academy of Sciences of Ukraine.
Iossif Vladimirovich Ostrovskii (on his eightieth anniversary).
Iossif Vladimirovich Ostrovskii (on his seventieth anniversary).
Iossif Vladimirovich Ostrovskii (on his sixtieth anniversary).
I. V. Ostrovskii at TURNBULL.
Soviet mathematicians
National University of Kharkiv alumni
20th-century Ukrainian mathematicians
1934 births
2020 deaths
Laureates of the State Prize of Ukraine in Science and Technology
Scientists from Dnipro
Corresponding members of the National Academy of Sciences of Ukraine |
https://en.wikipedia.org/wiki/Reiko%20Miyaoka | Reiko Miyaoka (, born 1951) is a Japanese mathematician and professor at Tohoku University, known for her research on hypersurfaces. In 2001 she won the Geometry prize of the Mathematical Society of Japan. She received her Ph.D. in 1983 from Tokyo Institute of Technology. Her husband Yoichi Miyaoka is also a mathematician.
References
20th-century Japanese mathematicians
21st-century Japanese mathematicians
Japanese women mathematicians
Living people
1951 births
20th-century women mathematicians
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Mariusz%20Wodzicki | Mariusz Wodzicki (born 1956) is a Polish mathematician, whose works primarily focus on analysis, algebraic k-theory, noncommutative geometry, and algebraic geometry.
Wodzicki was born in Bytom, Poland in 1956. He received a MSc from Moscow State University in 1980, and he completed his doctoral degree in 1984 at the Steklov Institute of Mathematics in Moscow under the advisement of Yuri Manin (Spectral Asymmetry and Zeta-Functions).
In 1985–1986 he was a research assistant at the Mathematical Institute, University of Oxford, after which he became an assistant professor at the Mathematical Institute of the Polish Academy of Sciences. He is currently a professor of mathematics at the University of California, Berkeley.
In 1992, Wodzicki was an invited speaker of the European Congress of Mathematics in Paris (Algebraic K-theory and functional analysis). In 1994, he was an invited speaker of the International Congress of Mathematicians in Zürich (The algebra of functional analysis).
Selection of writings
Vestigia investiganda. Moscow Mathematical Journal, vol 2, 2002, pp. 769–798, 806.
with Ken Dykema, Gary Weiss: Unitarily invariant trace extensions beyond the trace class. In: Complex analysis and related topics (Cuernavaca, 1996) Oper. Theory Adv. Appl. vol. 114, 2000, pp. 59–65
Algebraic K-theory and functional analysis, ECM Paris 1992, Birkhäuser, Progress in Mathematics, 1994
References
https://math.berkeley.edu/~wodzicki/Lubar.html
Living people
Polish mathematicians
Steklov Institute of Mathematics alumni
University of California, Berkeley faculty
Functional analysts
Polish expatriates in the United States
1956 births
People from Bytom
Moscow State University alumni |
https://en.wikipedia.org/wiki/ICivil | iCivil is a CRVS (civil registration and vital statistics) system used in Burkina Faso since August 2015. It sequentially allows the declaration, recording, and addition of civil status certificates (birth, marriage, divorce) in a central place. It is not needed to travel far to register a birth or to obtain an extract of a birth certificate later.
The system uses wristbands with bubble tags to protect the unique ID number given at birth and an encrypted SMS to send information to civil status where records are kept.
According to UNICEF, there are almost 230 million children younger than five years old not registered, who are known as ghost children. Resolving the problem of ghost children is a challenge in Africa.
References
Vital statistics (government records)
Society of Burkina Faso |
https://en.wikipedia.org/wiki/Journal%20of%20Mathematical%20Physics%2C%20Analysis%2C%20Geometry | The Journal of Mathematical Physics, Analysis, Geometry is a quarterly peer-reviewed scientific journal covering mathematics as applied to physics. It is published by the Verkin Institute for Low Temperature Physics and Engineering and was established in 1994 as Mathematical Physics, Analysis, Geometry. Papers are published in English, Ukrainian, and Russian. The journal is abstracted and indexed by Scopus. According to the Journal Citation Reports, the journal has a 2017 impact factor of 0.531.
Editors-in-chief
The following persons are or have been editors-in-chief:
Vladimir Marchenko: 1994—1999
Iossif Ostrovskii: 2000—2004
Leonid Pastur: 2005—present
History
The Kharkov Mathematical Society was founded in 1879 and, starting in 1880, the society published the journal named Communications of the Kharkov Mathematical Society (Russian Сообщения и протоколы заседаний математического общества при Императорском Харьковском университете). Publication was suspended in 1960, but in 1965 due to the efforts of Naum Akhiezer the journals Theory of functions, functional analysis and their applications, and Ukrainian Geometric Collection» were established. In 1994, these journals were merged by the Mathematical Division of the Verkin Institute to establish the current journal. The first editor was Vladimir Marchenko.
References
External links
Mathematics journals
Academic journals published in Ukraine
Quarterly journals
Academic journals established in 1994
Multilingual journals |
https://en.wikipedia.org/wiki/Antony%20Wassermann | Antony John Wassermann (born 1957) is a British mathematician working in operator algebras. He is known for his works on conformal field theory (providing several series of subfactors), the actions of compact groups on von Neumann algebras, and his proof of the Baum–Connes conjecture for connected reductive linear Lie groups.
Biography
Wassermann was born in 1957. He is the son of the quantum physicist Gerhard Dietrich Wassermann and the brother of the mathematician Alexander Simon Wassermann. He attended Royal Grammar School, Newcastle upon Tyne, from 1968 to 1974, and received his PhD at the University of Pennsylvania in 1981, under the supervision of Jonathan Rosenberg (Automorphic actions of compact groups on operator algebras). Afterwards, he was Directeur de Recherches CNRS at Aix-Marseille University from 1999 to 2013.
He is currently affiliated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge.
Honours
Bronze medal, International Mathematical Olympiad, 1974.
Miller Research Fellowship recipient in 1986–88.
Winner of the Whitehead Prize in 1990.
Invited speaker, International Congresses of Mathematicians, 1994, Zürich.
Selected bibliography
Operator algebras and conformal field theory. III. Fusion of positive energy representations of LSU(N) using bounded operators. Invent. Math. 133, no. 3, 467–538, 1998. MR1645078
Operator algebras and conformal field theory. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 966–979, Birkhäuser, Basel, 1995. MR1403996
Ergodic actions of compact groups on operator algebras. I. General theory. Ann. of Math. (2) 130, no. 2, 273–319, 1989. MR1014926
Ergodic actions of compact groups on operator algebras. III. Classification for SU(2). Invent. Math. 93, no. 2, 309–354, 1988. MR948104
Une démonstration de la conjecture de Connes–Kasparov pour les groupes de Lie linéaires connexes réductifs [A proof of the Connes–Kasparov conjecture for connected reductive linear Lie groups], C. R. Acad. Sci. Paris Sér. I Math. 304, no. 18, 559–562, 1987. MR894996
References
External links
ResearchGate
DPMMS
IML
20th-century English mathematicians
University of Pennsylvania alumni
Whitehead Prize winners
International Mathematical Olympiad participants
21st-century English mathematicians
Living people
Academic staff of Aix-Marseille University
1957 births
Cambridge mathematicians
People educated at the Royal Grammar School, Newcastle upon Tyne |
https://en.wikipedia.org/wiki/Hafizal%20Mohamad | Muhamad Hafizal bin Mohamad Alias (born 21 January 1993) is a Malaysian professional footballer.Who plays for Perak
Career statistics
Club
Honours
Terengganu
Malaysia Super League runner-up: 2022
Malaysia Cup runner-up: 2018
Malaysia Premier League runner-up: 2017
References
External links
1993 births
Living people
Footballers from Terengganu
Malaysian men's footballers
Men's association football defenders
Terengganu FC players
Terengganu F.C. II players
Perak F.C. players
Malaysia Super League players
Malaysia Premier League players |
https://en.wikipedia.org/wiki/Busale | Busale is a rural ward in Kyela District of the Mbeya Region of Tanzania. It is also one of the more populous wards in the district. In 2016 the Tanzania National Bureau of Statistics report there were 10,190 people in the ward, from 9,246 in 2012.
Located in the western part of Kyela District, Busale is bordered by three wards in the district: Ngana to the south and southwest, Itope to the south and southeast, and Ipande to the east. It is also bordered by Ileje District to the north and to the west.
Villages / vitongoji
The ward has 5 villages and 20 vitongoji.
Busale
Busale
Kabale
Kanyasi
Lupakano
Nyibuko
Sumbi
Busoka
Busoka
Chivanje
Ngokoto
Ikomelo
Busoka
Ikombe
Itembe
Mahenge
Lema
Katyongoli
Kubuguru
Mafiga
Sokoni
Masoko
Lwangwa
Mwati
Sanu
References
Populated places in Mbeya Region |
https://en.wikipedia.org/wiki/Stewart%20Renfrew | Stewart M. Renfrew was a Scottish football centre forward who played in the Scottish League for Cowdenbeath and Queen of the South. He was capped by Scotland at junior level.
Career statistics
Honours
Cowdenbeath Hall of Fame
References
Scottish men's footballers
Cowdenbeath F.C. players
Scottish Football League players
Year of birth missing
Year of death missing
Place of birth missing
Men's association football forwards
Sheffield Wednesday F.C. players
Queen of the South F.C. players
Derry City F.C. players
NIFL Premiership players
Scotland men's junior international footballers |
https://en.wikipedia.org/wiki/Vinay%20Prasad | Vinayak K. Prasad is an American hematologist-oncologist and health researcher. He is a professor of Epidemiology and Biostatistics at the University of California, San Francisco (UCSF). He is the author of the books Ending Medical Reversal (2015) and Malignant (2020).
Early life and education
Prasad was raised in a suburb of Cleveland, Ohio, before moving outside of Chicago in northern Indiana. His parents immigrated from India. He attended Michigan State University, where he took courses in health care ethics and physiology. In 2005, Prasad graduated summa cum laude from MSU with a double major in philosophy and physiology. He gave the commencement speech to the College of Arts and Letters on behalf of the Philosophy Department. He completed his medical degree at University of Chicago in 2009 and completed a residency in internal medicine at Northwestern University in 2012. Prasad was certified in internal medicine by the American Board of Internal Medicine in 2012 and earned a Master's of Public Health from Johns Hopkins University in 2014. In 2015, Prasad completed a fellowship in oncology at the National Cancer Institute and hematology at the National Heart, Lung, and Blood Institute.
Career
From 2015 to 2020, Prasad was assistant and then associate professor at the Oregon Health & Science University. He currently works at San Francisco General Hospital. Prasad is currently a full professor of a hematology-oncology at UCSF. He is a cancer drug and health policy researcher. He also studies the financial conflicts in drug approvals. In 2015, Prasad published the book, Ending Medical Reversal, with physician and academic Adam Cifu.
Prasad hosts the podcast Plenary Session and blogs at MedPage Today. Prasad has won several teaching awards, including the 2017 Craig Okada Award for best teacher in the Hematology Oncology Fellowship program, the 2018 faculty mentorship award from the internal medicine residency, the 2019 J. David Bristow award from the graduating medical students, and the 2020 excellence in research and scholarship mentoring as awarded by the internal medicine residents.
In the spring of 2020, Prasad published the book, Malignant: How Bad Policy and Bad Evidence Harm People with Cancer.
Views and reception
In 2011, Prasad and colleagues published a research letter in the Archives of Internal Medicine. Charles Bankhead, a senior editor at MedPageToday, covered the topic, outlining the paper's primary point, which was the high prevalence of research articles demonstrating findings that deviated from the accepted standard of treatment at the time. Separately, "Retraction Watch" reported on Prasad's personal remarks about the paper, saying "For a long time, we were interested by what we believe to be a pervasive problem in modern medicine. Namely, the spread of new technologies and therapies without clear evidence that they work, which are later (and often after considerable delay) followed by contradictions, which, in turn |
https://en.wikipedia.org/wiki/Mar%C3%ADa%20del%20Carmen%20Mart%C3%ADnez%20Sancho | María del Carmen Martínez Sancho (8 July 1901 in Toledo – 15 October 1995 in Malaga) was the first woman in Spain to gain a PhD in Mathematics. She was the first Professor of Mathematics to work in secondary school education in Spain, and the first woman to be appointed to the Board of Extension of Studies at the University of Berlin. She was part of Madrid and Seville's Instituto-Escuela.
Early life and education
Martínez was born on 8 July 1901 in Toledo. She was the second of six children in the family of José Martínez and Emilia Sancho. Her father was an engineer and public worker, which resulted in the family living in several Spanish cities before they settled in Madrid. Her father was keen for his children to receive their education at the Institución Libre de Enseñanza. He believed that boys and girls should have the same education, and supported her to complete high school classes at the University of Alcalá's Cardenal Cisneros Associated School. Here she became interested in mathematics and literature, and her parents encouraged her toward mathematics. Martínez herself was unhappy with the school: all students scored highly and there were no clear criteria for success. She finished her high school studies on 1 July 1918.
In 1918 she began to study in sciences the Central University of Madrid. In the first year of her degree, she was taught by extraordinary teachers, including Cecilio Jiménez Rueda and Julio Rey Pastor. Throughout her career, her greatest influence would be Julio Rey Pastor who taught her Mathematical Analysis. Carmen was a prestigious student since she got the highest marks in the year. Whist still an undergraduate student she was asked to teach at the Instituto-Escuela of Madrid where her younger siblings studied. She gave classes simultaneously with her university studies. She graduated on 7 December 1926.
She began her doctorate studies under the supervision of José María Plans y Freyre who was the first person to introduce relativity to Spain. Her thesis was titled: The concept of function, continuous and semicontinuous functions, and their properties. She was awarded the Extraordinary Price of Doctorate for her doctoral thesis and became the first Spanish woman to earn a PhD in mathematics.
Career
In 1928 Martínez was appointed Professor of Mathematics in the High-School Institute of Ferrol (La Coruña). She would go on to become a teacher of the El Instituto Femenino Infanta Beatriz with her colleague Carmen Vielva Otorel.
Germany
On 4 November 1930 the Board of Extension of Studies granted her an eight-month grant to move to Germany to continue her studies on Multidimensional Geometry. She attended classes given by Kurt Hensel at the University of Berlin. She extended her grant for two extra months, eventually finishing her work on 2 September 1932. She presented a memorial project that detailed Hammerstein's and Bieberbach's classes.
Seville
Immediately after returning to Spain from Germany, Martínez be |
https://en.wikipedia.org/wiki/Sigurd%20Gr%C3%B8nli%20%28footballer%29 | Sigurd Grønli (born 17 October 2000) is a Norwegian professional footballer who plays as a striker for Bryne.
Career statistics
.
References
2000 births
Living people
Footballers from Tromsø
Norwegian men's footballers
Tromsø IL players
Eliteserien players
Grorud IL players
Norwegian First Division players
Men's association football forwards
Tromsdalen UIL players |
https://en.wikipedia.org/wiki/Zvi%20Bern | Zvi Bern (born 17 September 1960) is an American theoretical particle physicist. He is a professor at University of California, Los Angeles (UCLA).
Bern studied physics and mathematics at the Massachusetts Institute of Technology and earned his doctorate in 1986 in theoretical physics from the University of California, Berkeley under the supervision of Martin Halpern. Bern's dissertation manuscript can currently be found in Lawrence Berkeley Laboratory's archives, examining "possible nonperturbative continuum regularization schemes for quantum field theory which are based upon the Langevin equation of Parisi and Wu."
Bern developed new methods for the computation of Feynman diagrams that were originally introduced in quantum electrodynamics for the perturbative computation of scattering amplitudes. In more complicated quantum field theories such as Yang–Mills theory or quantum field theories with gravity, the computer calculation of the perturbative evolution using Feynman diagrams quickly reached its limits due to the exponential growth in diagrams. The new theoretical developments of the 1990s and 2000s came in time for a renewed interest in extensive calculations in the context of the experiments at the Large Hadron Collider. Bern and colleagues developed twistor-space methods applied to gauge-theory amplitudes. Bern and colleagues developed the method of "generalized unitarity as a means for obtaining loop amplitudes from on-shell tree amplitudes". The method of generalized unitarity provided new insights into the perturbative treatment of N = 8 supergravity and showed that there is a smaller degree of divergence than expected; higher-loop evidence suggested that "N = 8 supergravity has the same degree of divergence as N = 4 super-Yang-Mills theory and is ultraviolet finite in four dimensions". Prior to this, it had been generally assumed that quantum gravitation from three loops resulted in uncontrollable divergences. In 2010, with his students Carrasco and Johansson, Bern found that diagrams for supersymmetric gravitational theories are equivalent to those of two copies of supersymmetric Yang-Mills theories (theories with gluons) which is known as double copy theory. They used a previously found duality between kinematics and color degrees of freedom. Instead of previously around terms, only 10 terms had to be evaluated in 3 loops, and correspondingly in 4 loops around 100 terms versus terms, and in 5 loops around 1000 terms versus terms; furthermore, there were no uncontrollable divergences in three and four loops — such uncontrollable divergences were predicted by the majority of experts in the 1980s and constituted one of the reasons for favoring string theory.
Bern was elected in 2004 a fellow of the American Physical Society. In 2014, he received the Sakurai Prize with David A. Kosower and Lance J. Dixon for "pathbreaking contributions to the calculation of perturbative scattering amplitudes, which led to a deeper understanding o |
https://en.wikipedia.org/wiki/List%20of%20regions%20of%20the%20United%20Kingdom%20by%20GRP%20per%20capita | This article is about the gross regional product (GRP) per capita of regions of the United Kingdom, defined as Level 2 regions of the Nomenclature of Territorial Units for Statistics (NUTS 2), in nominal values. Values are shown in euros in the original source. For comparison, all figures are converted into pounds sterling and US dollars according to annual average exchange rates. All values are rounded to the nearest hundred.
2018
See also
NUTS statistical regions of the United Kingdom
Notes
References
Economy of the United Kingdom-related lists
United Kingdom geography-related lists
Gross state product
GRP per capita
United Kingdom |
https://en.wikipedia.org/wiki/Robert%20Guralnick | Robert Michael Guralnick (born 10 July 1950) is an American mathematician known for his work in group theory. He works as a Professor of Mathematics at the University of Southern California.
Guralnick was named a Fellow of the American Mathematical Society in 2012, was an invited lecturer at the International Congress of Mathematicians in 2014, and was awarded the Cole Prize in 2018. He is currently managing editor of Forum of Mathematics.
References
External links
1950 births
Living people
20th-century American mathematicians
Algebraists
University of Southern California faculty
Fellows of the American Mathematical Society
21st-century American mathematicians |
https://en.wikipedia.org/wiki/Distribution%20function | Distribution function may refer to
Cumulative distribution function, a basic concept of probability theory
Distribution function (physics), a function giving the number of particles per unit volume in single-particle phase space
Distribution function (measure theory), a generalization of the probabilistic concept |
https://en.wikipedia.org/wiki/Amel%20Ben%20Abda | Amel Ben Abda is a professor of mathematics at the National Engineering School of Tunis. She was the first person in Tunisia to earn a PhD in applied mathematics. She is the Tunisian representative of the steering committee of the International Laboratory for Computer Sciences and Applied Mathematics on the advisory board of the Tunisian Woman Mathematician Association.
Early life and education
Ben Abda studied applied mathematics at the National Engineering School of Tunis, graduating in 1988. After her degree, she worked in the Preparatory Institute for Engineering Studies of Nabeul. She went on to earn the first PhD in Applied Mathematics in Tunisia in 1993.
Research and career
In the field of applied mathematics, Ben Abda has worked on a "reciprocity gap" method that can be used as an indication of defects in materials. She also works on the problem of reconstructing boundary conditions from incomplete data.
In 1993, Ben Abda joined the Preparatory Institute for Scientific and Technical Studies, where she was promoted to assistant professor that same year. In 1999 she joined the National Engineering School of Tunis. She defended Tunisia's first habilitation in 1998. She is responsible for the inverse theorems team at the Laboratory of Mathematical Modelling and Numeric in Engineering Sciences (LAMSIN).
She is the Tunisian representative of the steering committee of the International Laboratory for Computer Sciences and Applied Mathematics. She is on the advisory board of the Tunisian Woman Mathematician Association (TWMA). The TWMA give an annual award for the best PhD thesis in mathematics.
In 2018 she was selected as one of OkayAfrica's Top 100 Women.
References
Date of birth missing (living people)
Living people
Tunisian mathematicians
21st-century mathematicians
20th-century women mathematicians
21st-century women mathematicians
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Grandma%20Got%20STEM | Grandma Got STEM is a blog by Rachel Levy, a mathematician at Harvey Mudd College, about earlier generations of women in science, technology, engineering, and mathematics (STEM). Levy founded the blog in March 2013, and by June 2013 had already accumulated 100 posts to it.
The blog is aimed at a general audience.
Its entries include pictures and stories about women who worked in STEM fields, and are intended to counter stereotypes of older women as being technologically inept, as well as to inspire future generations of women in STEM.
As the name of the blog suggests, the women featured on the blog are generally old enough to be grandmothers, although not all of them had children. Although many famous researchers are included, the blog posts also feature women who worked at lower-level teaching and laboratory assistant positions in STEM.
References
External links
Grandma Got STEM
American blogs
Feminist blogs
Science blogs |
https://en.wikipedia.org/wiki/Child%20marriage%20in%20Cameroon |
Statistics
Child marriage in Cameroon is common. In 2017, 31% of girls are married off before their 18th birthday, and the national median age for first marriages is 18.5. Cameroon holds the 8th highest marriage rate before age 15 among African countries, with 10.7% of Cameroonian women married before age 15 as of 2020. Compared to the national median age of marriage of 18.5, the median age of marriage for girls without education is 16. In Northern regions of Cameroon, Adamaoua, Far-North, and North, the median age is 16.5. 8% of adolescent girls give birth before the age of 16. Child marriage is most significant in the Far North Region, with 80% of women being married prematurely.
Causes
Factors leading to child marriage in Cameroon include education, poverty, rural, and social norms. Homogeneity in social norms regarding child marriage exists in rural Cameroon communities. Cameroonian families from rural villages tend to believe a child who refuses or delays a husband is considered to be bewitched or cursed by relatives. Several northern Moghamo villages believe that inexperienced and naive girls are more submissive and respectful wives. In these northern regions, several parents barter their unborn girls to lenders, with the wives being called "money women". In Magba, the Western region of Cameroon, maturity is determined through physical appearance, menstruation, and breast development rather than age. The practice of fattening, or Leblouh, where premature girls are fed copious food for several weeks to appear more mature, is common in the area. Child marriage is heavily practiced among the Assumbo, Oliti, and Bacheve clans found in the southwest region of Cameroon, with families traditionally having substantial control over marriages. Unions are often conceived as mutual contracts of families, with no involvement of romantic love.
Laws regarding child marriage
Cameroon has inconsistent laws about their minimum age for marriage. The Cameroonian government has yet to adhere to the Maputo Protocol, where Article 6(b) constitutes the legal minimum age for marriage as 18 for boys and girls; official Cameroonian law holds 15 as the minimum age for marriage. However, Cameroon consented to the UN convention of the Rights of the Child, which sets the minimum age for marriage as 18. The Cameroonian penal code delineates that the punishment for forced child marriage in Cameroon is imprisonment for up to 10 years and fines, with this code rarely being enforced.
Prevention programs in Cameroon
Several organizations are working to mitigate child marriage in Cameroon. Cameroon’s Ministry of Women’s Empowerment is constructing legislation to eliminate child marriage and genital mutilation in the region. Additionally, the Presbyterian Church of Cameroon has proposed resolutions and obligations for their followers to reject and challenge child marriage. The Church hosts programs training deaconesses to criticize the practice in Protestant girls’ scho |
https://en.wikipedia.org/wiki/Measurable%20group | In mathematics, a measurable group is a special type of group in the intersection between group theory and measure theory. Measurable groups are used to study measures is an abstract setting and are often closely related to topological groups.
Definition
Let a group with group law
.
Let further be a σ-algebra of subsets of the set .
The group, or more formally the triple is called a measurable group if
the inversion is measurable from to .
the group law is measurable from to
Here, denotes the formation of the product σ-algebra of the σ-algebras and .
Topological groups as measurable groups
Every second-countable topological group can be taken as a measurable group. This is done by equipping the group with the Borel σ-algebra
,
which is the σ-algebra generated by the topology. Since by definition of a topological group, the group law and the formation of the inverse element is continuous, both operations are in this case also measurable from to and from to , respectively. Second countability ensures that , and therefore the group is also a measurable group.
Related concepts
Measurable groups can be seen as measurable acting groups that act on themselves.
References
Measure theory
Group theory |
https://en.wikipedia.org/wiki/Jacqueline%20Jensen-Vallin | Jacqueline Ann Jensen-Vallin is an American mathematician. She is an associate professor of mathematics at Lamar University, the editor-in-chief of MAA FOCUS, the newsletter of the Mathematical Association of America (MAA), and the governor of the Texas Section of the MAA. Her research interests include combinatorial group theory, low-dimensional topology, and knot theory; she is also known for her work in mathematics education and the history of women in mathematics.
Education and career
Jensen-Vallin did her undergraduate studies at the University of Connecticut, completing a double major in mathematics and psychology in 1995. She went to the University of Oregon for her graduate studies, and completed her doctorate there in 2002. Her dissertation, Finding -Generators for Exotic Homotopy Types of Two-Complexes, concerned algebraic geometry and was supervised by Michael Dyer.
After completing her doctorate, she joined the faculty at Sam Houston State University in 2002. She moved to Lamar University in 2014.
Book
With Janet Beery, Sarah J. Greenwald, and Maura B. Mast, Jensen-Vallin is an editor of the book Women in Mathematics: Celebrating the Centennial of the Mathematical Association of America (Springer, 2017).
Awards and honors
Jensen-Vallin was one of the 2008 winners of the Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member.
The Association for Women in Mathematics gave her their Service Award in 2018.
References
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
University of Connecticut alumni
University of Oregon alumni
Sam Houston State University faculty
Lamar University people
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Mixed%20binomial%20process | A mixed binomial process is a special point process in probability theory. They naturally arise from restrictions of (mixed) Poisson processes bounded intervals.
Definition
Let be a probability distribution and let be i.i.d. random variables with distribution . Let be a random variable taking a.s. (almost surely) values in . Assume that are independent and let denote the Dirac measure on the point .
Then a random measure is called a mixed binomial process iff it has a representation as
This is equivalent to conditionally on being a binomial process based on and .
Properties
Laplace transform
Conditional on , a mixed Binomial processe has the Laplace transform
for any positive, measurable function .
Restriction to bounded sets
For a point process and a bounded measurable set define the restriction of on as
.
Mixed binomial processes are stable under restrictions in the sense that if is a mixed binomial process based on and , then is a mixed binomial process based on
and some random variable .
Also if is a Poisson process or a mixed Poisson process, then is a mixed binomial process.
Examples
Poisson-type random measures are a family of three random counting measures which are closed under restriction to a subspace, i.e. closed under thinning, that are examples of mixed binomial processes. They are the only distributions in the canonical non-negative power series family of distributions to possess this property and include the Poisson distribution, negative binomial distribution, and binomial distribution. Poisson-type (PT) random measures include the Poisson random measure, negative binomial random measure, and binomial random measure.
References
Point processes |
https://en.wikipedia.org/wiki/Christopher%20J.%20Bishop | Christopher Bishop is an American mathematician on the faculty at Stony Brook University. He received his bachelor's in mathematics from Michigan State University in 1982, going on from there to spend a year at Cambridge University, receiving at Cambridge a Certificate of Advanced Study in mathematics, before entering the University of Chicago in 1983 for his doctoral studies in mathematics. As a graduate student in Chicago, his advisor, Peter Jones, took a position at Yale University, causing Bishop to spend the years 1985–87 at Yale as a visiting graduate student and programmer. Nonetheless, he received his PhD from the University of Chicago in 1987.
Career
Upon receiving his PhD, Bishop went to MSRI in Berkeley from 1987–88. After that, he was the Henrik Assistant Professor at UCLA from 1988–91. In 1992 he joined, and remains on, the faculty of Stony Brook University, attaining full professor there in 1997.
Research
Bishop is known for his contributions to geometric function theory, Kleinian groups, complex dynamics, and computational geometry; and in particular for topics such as fractals, harmonic measure, conformal and quasiconformal mappings and Julia sets. Along with Peter Jones, he is the namesake of the class of Bishop-Jones curves.
Awards and honors
Bishop was awarded the 1992 A. P. Sloan Foundation fellowship. He was an invited speaker at the 2018 International Congress of Mathematicians. He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to the theory of harmonic measures, quasiconformal maps and transcendental dynamics" and was a 2019 Simons Fellow in Mathematics. He is on the editorial board of the journal Annales Academiae Scientiarum Fennicae Mathematica as of July 1, 2021. In November 2021 he was appointed a Distinguished Professor at the State University of New York.
Books
External links
Home page
Analysis, Dynamics, Geometry and Probability: March 2-6, 2020
2018 ICM Lecture
References
Stony Brook University faculty
Sloan Research Fellows
20th-century American mathematicians
University of Chicago alumni
Living people
Fellows of the American Mathematical Society
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Carolina%20Araujo%20%28mathematician%29 | Carolina Bhering de Araujo is a Brazilian mathematician specializing in algebraic geometry, including birational geometry, Fano varieties, and foliations.
Education and career
Araujo was born and raised in Rio de Janeiro, Brazil. She did her undergraduate studies in Brazil, completing a degree in mathematics in 1998 from the Pontifical Catholic University of Rio de Janeiro. She earned her PhD in 2004 at Princeton University, where her dissertation, supervised by János Kollár, was titled The Variety of Tangents to Rational Curves.
She is currently a researcher at the Instituto Nacional de Matemática Pura e Aplicada in Brazil (IMPA), and the only woman (as of 2018) on the permanent research staff at IMPA. She is also a Simons Associate at the Abdus Salam International Centre for Theoretical Physics (ICTP). She is the vice-president of the Committee for Women in Mathematics at the International Mathematical Union.
During and after her PhD, Araujo developed techniques related to Japanese mathematician Shigefumi Mori's proposed theory of rational curves of minimal degree, which she published in 2008.
Recognition
Araujo won the L'Oreal Award for Women in Science in Brazil in 2008.
Araujo was both an organizer and an invited speaker at the 2018 International Congress of Mathematicians. She led the inaugural World Meeting for Women in Mathematics (WM)2 in August 2018. She was also one of the female mathematicians profiled in the short documentary called Journeys of Women in Mathematics, funded by the Simons Foundation.
Araujo was awarded the 2020 Ramanujan Prize from the International Centre for Theoretical Physics.
She is included in a deck of playing cards featuring notable women mathematicians published by the Association of Women in Mathematics.
Selected bibliography
References
External links
for Carolina Araujo at IMPA
Living people
Brazilian mathematicians
Women mathematicians
Algebraic geometers
Pontifical Catholic University of Rio de Janeiro alumni
Princeton University alumni
Instituto Nacional de Matemática Pura e Aplicada researchers
1976 births |
https://en.wikipedia.org/wiki/List%20of%20regions%20of%20the%20United%20Kingdom%20by%20GRP | This article lists the gross regional product (GRP) of regions of the United Kingdom, defined as Level 2 regions of the Nomenclature of Territorial Units for Statistics (NUTS 2), in nominal values. Values are shown in euros in the original source. For comparison, all figures are converted into pounds sterling and US dollars according to annual average exchange rates. All values are given in millions, and converted values are rounded to the nearest whole number.
Note that 2021 was an exceptional year because of the fall in GDP in 2020 which averaged 11.0% across the country. The recovery in 2021 was therefore a partial "bounce back" from this slump.
2021
2018
See also
NUTS statistical regions of the United Kingdom
Notes
References
Economy of the United Kingdom-related lists
United Kingdom geography-related lists
Gross state product
United Kingdom |
https://en.wikipedia.org/wiki/Abraham%20Joseph%20Menz | Abraham Joseph ben Simon Wolf Menz () was an eighteenth century rabbi and mathematician at Frankfurt.
He wrote an elementary textbook on mathematics entitled Reshit Limmudim, in three parts: Kelale handasah, the general rules of algebra; Yesodot ha-gematriot, the elements of geometry; and Yesod ha-tekunah, on astronomy. Only the first part was published (Berlin, 1775).
References
18th-century rabbis from the Ottoman Empire
18th-century German mathematicians
Jewish scientists
Rabbis from Frankfurt |
https://en.wikipedia.org/wiki/List%20of%20mathematics%20awards | This list of mathematics awards contains articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the world. Some of the awards are limited to work in a particular field, such as topology or analysis, while others are given for any type of mathematical contribution.
International
Americas
Asia
Europe
Oceania
References
See also
Lists of awards
Lists of science and technology awards
Mathematics |
https://en.wikipedia.org/wiki/Eduard%20Wirsing | Eduard Wirsing (28 June 1931 – 22 March 2022) was a German mathematician, specializing in number theory.
Biography
Wirsing was born on 28 June 1931 in Berlin.
Wirsing studied at the University of Göttingen and the Free University of Berlin, where he received his doctorate in 1957 under the supervision of Hans-Heinrich Ostmann with thesis Über wesentliche Komponenten in der additiven Zahlentheorie (On Essential Components in Additive Number Theory). In 1967/68 he was a professor at Cornell University and from 1969 a full professor at the University of Marburg, where he was since 1965. In 1970/71 he was at the Institute for Advanced Study. Since 1974 he was a professor at the University of Ulm, where he led the 1976 Mathematical Colloquium. He retired as professor emeritus in 1999, but continued to be mathematically active.
Wirsing organized conferences on analytical number theory at the Oberwolfach Research Institute for Mathematics.
In his spare time he played go and chess, played alto recorder, and made electronic devices.
Wirsing died on 22 March 2022.
Research
In 1960 he proved for algebraic number fields a generalization of Roth's 1955 Thue-Siegel-Roth theorem:
Let be algebraic of degree , then there are only finitely many algebraic numbers of degree n and height H, so that
for arbitrarily small positive .
The exponent on the right was improved to n+1 (replacing 2n) by Wolfgang M. Schmidt in 1970.
In 1961 Wirsing proved a theorem about the asymptotic means of non-negative multiplicative functions, and he was able to show, under certain conditions, that these are essentially determined by their values at the prime numbers (and not also by values at the higher prime exponents). In 1967 he sharpened his theorem and proved a conjecture of Paul Erdős (each multiplicative function, which takes only the values 1 and , has an average value).
In 1956, with Alfred Stöhr, Wirsing gave simpler examples (than the example given by Yuri Linnik in 1942) demonstrating that there are essential components that are not additive bases.
In 1957 he, with Bernhard Hornfeck, gave an asymptotic estimate for the density of perfect numbers. In 1959 Wirsing gave an asymptotic estimate for the density of multiply perfect numbers.
He gave in 1962 an elementary proof of a sharpened form of the prime-number theorem (with remainder). (In this context, "elementary" means "not using methods from complex function theory".) About the same time, similar results were published by Robert Breusch (1960) and Enrico Bombieri (1962). Elementary proofs of the prime number theorem were first published by Paul Erdős and Atle Selberg in 1949.
Wirsing is also known for his work on the Gauss-Kuzmin-Levy distribution (named after Carl Friedrich Gauss, Rodion Kuzmin, Paul Lévy). He gave asymptotic estimates for the distribution of the coefficients of the regular continued fraction evolution of a random variable evenly distributed in the unit interval. In this context, he also i |
https://en.wikipedia.org/wiki/Rodrigo%20Izquierdo | Rodrigo Andrés Izquierdo Díaz (born 19 November 1992) is a Uruguayan footballer who plays as a right back for CA Cerro of the Uruguayan Primera División.
Career statistics
Club
Notes
References
1992 births
Living people
Footballers from Canelones Department
Uruguayan men's footballers
Uruguayan expatriate men's footballers
C.A. Cerro players
Atlético Zacatepec players
Uruguayan Primera División players
Ascenso MX players
Uruguayan expatriate sportspeople in Mexico
Expatriate men's footballers in Mexico
Men's association football midfielders |
https://en.wikipedia.org/wiki/Wallace%20Camilo | Wallace Camilo (born 10 November 1992) is a Brazilian footballer who currently plays as a midfielder for Friburguense, on loan from Resende.
Career statistics
Club
Notes
References
1992 births
Living people
Brazilian men's footballers
Men's association football midfielders
Club Athletico Paranaense players
Duque de Caxias Futebol Clube players
Ceres Futebol Clube players
Resende FC players
Friburguense Atlético Clube players
Campeonato Brasileiro Série C players |
https://en.wikipedia.org/wiki/Dimitrios%20Komnos | Dimitrios Komnos (; born 1 February 1993) is a Greek professional footballer who plays as a left-back for German club SV Babelsberg 03.
Career statistics
Club
Notes
References
External links
Dimitris Komnos at FuPa
1993 births
Living people
Greek men's footballers
Greek expatriate men's footballers
Men's association football defenders
Football League (Greece) players
Regionalliga players
Levadiakos F.C. players
Panionios F.C. players
PAS Lamia 1964 players
A.E. Kifisia F.C. players
VFC Plauen players
FC Oberlausitz Neugersdorf players
SV Babelsberg 03 players
Greek expatriate sportspeople in Germany
Expatriate men's footballers in Germany
People from Magnesia (regional unit)
Footballers from the Peloponnese |
https://en.wikipedia.org/wiki/Ribenboim%20Prize | The Ribenboim Prize, named in honour of Paulo Ribenboim, is awarded by the Canadian Number Theory Association for distinguished research in number theory by a mathematician who is Canadian or has close connections to Canadian mathematics. Normally the winner will have received their Ph.D. in the last 12 years. The winner is expected to give a plenary talk at the award ceremony.
Winners
See also
List of mathematics awards
References
Mathematics awards
Canadian awards
Awards established in 1999
.
1999 establishments in Canada |
https://en.wikipedia.org/wiki/Zbigniew%20Ciesielski | Zbigniew Ciesielski (Polish pronunciation: ; 1 October 1934 – 5 October 2020) was a Polish mathematician specializing in functional analysis and probability theory. He served as the President of the Polish Mathematical Society from 1981 to 1983.
Education and career
Ciesielski was born in Gdynia, Poland. He received in 1960 his doctorate from the Adam Mickiewicz University in Poznan with dissertation (On orthogonal developments of almost all functions in Wiener space) under the supervision of Władysław Orlicz.
He has been a professor at the Mathematical Institute of the Polish Academy of Sciences since 1969 and a member of the Academy since 1973. In 1974 he was an Invited Speaker of the International Congress of Mathematicians in Vancouver. He was President of the Polish Mathematical Society from 1981 to 1983.
Ciesielski's main areas of research are functional analysis, in particular Schauder bases in Banach spaces, and probability theory, in particular the mathematical theory of Brownian motion.
Awards and decorations
1964:
1974: Order of Polonia Restituta: Knight's Cross
1984: Order of Polonia Restituta: Officer's Cross
1992:
1988: of 1st degree
2004: Honorary Member of the Polish Mathematical Society
2014: Honorary degree of the University of Gdańsk
See also
List of Polish mathematicians
References
External links
Zbigniew Ciesielski, Selected publications at the Polish Academy of Sciences
Functional analysts
Probability theorists
Members of the Polish Academy of Sciences
Polish mathematicians
1934 births
2020 deaths
Recipients of the Order of Polonia Restituta (1944–1989)
Recipients of the State Award Badge (Poland) |
https://en.wikipedia.org/wiki/William%20J.%20Firey | William James Firey (1923–2004) was an American mathematician, specializing in the geometry of convex bodies.
Born in Montana, Firey moved with his family to Seattle when he was 6 years old. During World War II, he served in the U.S. Army as a medical technician in Europe. He married in 1946. During the first years of their marriage, the couple worked for the United States Forest Service during summers in fire look-out stations in the Washington Cascades.
Firey received in 1948 his bachelor's degree from the University of Washington, in 1949 his master's degree from the University of Toronto, and in 1954 his Ph.D. from Stanford University. He was a faculty member at Washington State University for 8 years and then became a professor at Oregon State University, where he retired as professor emeritus in 1988. He was a visiting professor at several universities and made several trips to the Mathematical Research Institute of Oberwolfach.
In 1974 Firey was an Invited Speaker at the International Congress of Mathematicians in Vancouver.
Upon his death he was survived by his widow and his daughter and predeceased by his son.
Selected publications
References
1923 births
2004 deaths
20th-century American mathematicians
21st-century American mathematicians
Geometers
University of Washington alumni
University of Toronto alumni
Stanford University alumni
Washington State University faculty
Oregon State University faculty
People from Roundup, Montana |
https://en.wikipedia.org/wiki/Lewis%27s%20triviality%20result | In the mathematical theory of probability, David Lewis's triviality result is a theorem about the impossibility of systematically equating the conditional probability with the probability of a so-called conditional event, .
Conditional probability and conditional events
The statement "The probability that if , then , is 20%" means (put intuitively) that event may be expected to occur in 20% of the outcomes where event occurs. The standard formal expression of this is , where the conditional probability equals, by definition, .
Beginning in the 1960s, several philosophical logicians—most notably Ernest Adams and Robert Stalnaker—floated the idea that one might also write , where is the conditional event "If , then ". That is, given events and , one might suppose there is an event, , such that could be counted on to equal , so long as .
Part of the appeal of this move would be the possibility of embedding conditional expressions within more complex constructions. One could write, say, , to express someone's high subjective degree of confidence ("75% sure") that either , or else if , then . Compound constructions containing conditional expressions might also be useful in the programming of automated decision-making systems.
How might such a convention be combined with standard probability theory? The most direct extension of the standard theory would be to treat as an event like any other, i.e., as a set of outcomes. Adding to the familiar Venn- or Euler diagram of and would then result in something like Fig. 1, where are probabilities allocated to the eight respective regions, such that .
For to equal requires that , i.e., that the probability inside the region equal the region's proportional share of the probability inside the region. In general the equality will of course not be true, so that making it reliably true requires a new constraint on probability functions: in addition to satisfying Kolmogorov's probability axioms, they must also satisfy a new constraint, namely that for any events and such that .
Lewis's result
pointed out a seemingly fatal problem with the above proposal: assuming a nontrivial set of events, the new, restricted class of -functions will not be closed under conditioning, the operation that turns probability function into new function , predicated on event 's occurrence. That is, if , it will not in general be true that as long as . This implies that if rationality requires having a well-behaved probability function, then a fully rational person (or computing system) would become irrational simply in virtue of learning that arbitrary event had occurred. Bas van Fraassen called this result "a veritable bombshell" (1976, p. 273).
Lewis's proof is as follows. Let a set of events be non-trivial if it contains two possible events, and , that are mutually exclusive but do not together exhaust all possibilities, so that , , , and . The existence of two such events implies the existence of the |
https://en.wikipedia.org/wiki/Stewart%20Low | Stewart Low was a Scottish professional footballer who played as a centre half in the Scottish League for Montrose and Lochgelly United.
Career statistics
References
Scottish men's footballers
Brentford F.C. players
Scottish Football League players
Year of birth missing
Year of death missing
Place of birth missing
Place of death missing
Men's association football wing halves
Lochgelly United F.C. players
Montrose F.C. players |
https://en.wikipedia.org/wiki/Harry%20MacMillan | Harry MacMillan was a Scottish professional footballer who played in the Scottish League for Hamilton Academical, East Stirlingshire and Clyde as an inside forward.
Career statistics
References
Scottish men's footballers
Brentford F.C. players
Scottish Football League players
Year of birth missing
Year of death missing
Place of birth missing
Place of death missing
Men's association football inside forwards
Hamilton Academical F.C. players
Clyde F.C. players
East Stirlingshire F.C. players |
https://en.wikipedia.org/wiki/L%C3%B6schian%20number | In number theory, the numbers of the form x2 + xy + y2 for integer x, y are called the Löschian numbers (or Loeschian numbers). These numbers are named after August Lösch. They are the norms of the Eisenstein integers. They are a set of whole numbers, including zero, and having prime factorization in which all primes congruent to 2 mod 3 have even powers (there is no restriction of primes congruent to 0 or 1 mod 3).
Properties
Every square number is a Löschian number (by setting x or y to 0).
Moreover, every number of the form for m and x integers is a Löschian number (by setting y=mx).
There are infinitely many Löschian numbers.
Given that odd and even integers are equally numerous, the probability that a Löschian number is odd is 0.75, and the probability that it is even is 0.25. This follows from the fact that is even only if x and y are both even.
The greatest common divisor and the least common multiple of any two or more Löschian numbers are also Löschian numbers.
The product of two Löschian numbers is always a Löschian number.
The product of a Löschian number and a non-Löschian number is never a Löschian number.
References
Integer sequences |
https://en.wikipedia.org/wiki/D%C3%B6rte%20Haftendorn | Dörte Haftendorn (born March 25, 1948) is a German mathematician, mathematics educator, and textbook author who works as a professor at Leuphana University of Lüneburg.
Education and career
Haftendorn earned her PhD in 1975 from the Clausthal University of Technology. Her dissertation, Additiv kommutative und idempotente Halbringe mit Faktorbedingung [Additive, commutative, and idempotent semirings with the factor condition], concerned the theory of semirings and was supervised by Hanns J. Weinert.
She taught at the Johanneum gymnasium in Lüneburg from 1975 until 2002, when she became a professor at Leuphana University of Lüneburg.
Books
Haftendorn is the author of two German-language mathematics textbooks. Mathematik sehen und verstehen [Seeing and understanding mathematics] (Spektrum, 2010; 2nd ed., 2015) is a broad overview of mathematics for a popular audience, stemming from Haftendorn's "mathematics for all" lecture series. Kurven erkunden und verstehen [Exploring and understanding curves] (Spektrum, 2016) is an introductory textbook in geometry focusing on the geometry of curves and incorporating calculations with GeoGebra.
References
External links
Home page
1948 births
Living people
20th-century German mathematicians
German women mathematicians
Mathematics educators
21st-century German mathematicians
20th-century German women
21st-century German women |
https://en.wikipedia.org/wiki/Vincent%20Atinga | Vincent Atingah Adae (born 30 October 1993) is a Ghanaian footballer who currently plays as a defender for Ghana premier League side Medeama. SC
Career statistics
Club
Notes
International
International goals
Scores and results list Ghana's goal tally first.
References
External links
1993 births
Living people
Ghanaian men's footballers
Ghanaian expatriate men's footballers
Men's association football defenders
Ghana Premier League players
Kategoria Superiore players
Accra Hearts of Oak S.C. players
KF Tirana players
Qadsia SC players
Ghanaian expatriate sportspeople in Albania
Ghanaian expatriate sportspeople in Kuwait
Expatriate men's footballers in Albania
Expatriate men's footballers in Kuwait
Ghana men's international footballers
Kuwait Premier League players
Al-Shabab SC (Kuwait) players |
https://en.wikipedia.org/wiki/Fitim%20Re%C3%A7i | Fitim Reçi (born 29 July 2002) is an Albanian professional footballer who plays as a midfielder for Besa Kavajë.
Career statistics
Club
Notes
References
External links
2002 births
Living people
Footballers from Kavajë
Albanian men's footballers
Men's association football midfielders
KF Besa Kavajë players
Kategoria e Parë players |
https://en.wikipedia.org/wiki/Wu%20Jiangtao | Wu Jiangtao (; born 5 March 1997) is a Chinese footballer.
Career statistics
Club
Notes
References
1997 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football midfielders
Kategoria e Parë players
Shandong Taishan F.C. players
Wu Jiangtao
Chinese expatriate sportspeople in Thailand
Expatriate men's footballers in Thailand
Expatriate men's footballers in Albania |
https://en.wikipedia.org/wiki/2018%E2%80%9319%20PFC%20Levski%20Sofia%20season | The 2018–19 season was Levski Sofia's 98th season in the First League. This article shows player statistics and all matches (official and friendly) that the club has played during the season.
Transfers
In
Out
Loans out
Squad
Updated on 18 March 2019.
Performance overview
Fixtures
Friendlies
Summer
Mid-season
Winter
Parva Liga
Preliminary stage
League table
Results summary
Results by round
Matches
Championship stage
League table
Results summary
Results by round
Matches
European play-off final
Bulgarian Cup
UEFA Europa League
First qualifying round
Squad statistics
|-
|colspan="14"|Players away from the club on loan:
|-
|colspan="14"|Players who left Levski Sofia during the season:
|}
References
PFC Levski Sofia seasons
Levski Sofia |
https://en.wikipedia.org/wiki/Lucas%20Gomes%20%28footballer%2C%20born%201995%29 | Lucas Augusto Silva Gomes (born 16 June 1995) is a Brazilian footballer who plays as a forward.
Career statistics
Club
Notes
References
1995 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Kategoria e Parë players
União São João Esporte Clube players
Clube Atlético Votuporanguense players
KF Egnatia players
Brazilian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Footballers from Londrina
21st-century Brazilian people |
https://en.wikipedia.org/wiki/Christian%20Ezike | Christian Ezike (born 30 July 1999), also known as Kristian Ezike, is a Nigerian footballer who currently plays as a forward for KF Elbasani.
Career statistics
Club
Notes
References
1999 births
Living people
Nigerian men's footballers
Nigerian expatriate men's footballers
Men's association football forwards
Kategoria e Parë players
FK Jagodina players
Nigerian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Footballers from Lagos
21st-century Nigerian people |
https://en.wikipedia.org/wiki/Tadeusz%20Figiel | Tadeusz Figiel (born 2 July 1948 in Gdańsk) is a Polish mathematician specializing in functional analysis.
Biography
In 1970 Figiel graduated in mathematics at the University of Warsaw. He received his doctorate in 1972 under the supervision of Aleksander Pełczyński and then habilitated in 1975 with habilitation thesis O modułach wypukłości i gładkości (On modules of convexity and smoothness) at the (Instytut Matematyczny PAN). There Figiel was appointed in 1983 an associate professor and in 1990 a full professor. He is the head of the Gdańsk Branch of the Polish Academy of Sciences and the editor-in-chief of the journal Studia Mathematica.
Figiel received in 1976 the Stefan Banach Award, in 1988 the of First Degree (together with Zbigniew Ciesielski), in 1989 the , and in 2004 the Stefan Banach Medal. In 1983 he was an Invited Speaker at the International Congress of Mathematicians in Warsaw.
Selected publications
with William B. Johnson: "The approximation property does not imply the bounded approximation property." Proceedings of the American Mathematical Society 41 (1973), 197–200.
with Wayne J. Davis, William B. Johnson, and Alexander Pelczynski: "Factoring weakly compact operators." Journal of Functional Analysis 17, no. 3 (1974): 311–327.
with W. B. Johnson. "A uniformly convex Banach space which contains no lp." Compositio Mathematica 29, no. 2 (1974): 179–190.
with W. B. Johnson and Lior Tzafriri: "On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces." Journal of Approximation Theory 13, no. 4 (1975): 395–412.
"On the moduli of convexity and smoothness." Studia Mathematica 56, no. 2 (1976): 121–155.
with Joram Lindenstrauss and Vitali D. Milman: "The dimension of almost spherical sections of convex bodies." Acta Mathematica 139, no. 1 (1977): 53–94.
with Z. Ciesielski: "Spline bases in classical function spaces on compact C∞ manifolds, Part II." Studia Mathematica 76, no. 2 (1983): 95–136.
"Singular integral operators: a martingale approach." Geometry of Banach spaces (Strobl, 1989) 158 (1990): 95–110.
with Ken Dykema, Gary Weiss, and Mariusz Wodzicki: "Commutator structure of operator ideals." Advances in Mathematics 185, no. 1 (2004): 1– 79.
References
Polish mathematicians
Scientists from Gdańsk
1948 births
Living people
Recipients of the State Award Badge (Poland) |
https://en.wikipedia.org/wiki/Claus%20Michael%20Ringel | Claus Michael Ringel (born 10 February 1945 in Zwickau) is a German mathematician, specializing in algebra.
Education and career
Ringel studied mathematics, physics and philosophy beginning in 1964 at the Goethe University Frankfurt with the Diplom degree in mathematics in 1968. He received in 1969 from the Goethe University Frankfurt his doctorate under the supervision of Friedrich-Wilhelm Bauer with thesis Diagonalisierungspaare in der Homologischen Algebra (Diagonalization Pairs in Homological Algebra). He then became a research assistant at the University of Tübingen and in 1971/72 an assistant professor at Carleton University (where he collaborated with Vlastimil Dlab). In 1972 he habilitated in Tübingen and became there a Universitätsdozent.
In 1974 Ringel became a scientific advisor and professor at the University of Bonn. From 1978 until his retirement in 2010, he was a professor at Bielefeld University. From 2010 to 2013 he was a visiting professor at Shanghai Jiao Tong University. Since 2000 he has occasionally been a visiting professor at the University of Science and Technology of China in Hefei, and since 2011 he has occasionally taught as an adjunct professor at King Abdulaziz University in Jeddah.
Research
Ringel's research deals with the representation theory of algebras. From 1991 to 2000 he led the project Representation of Algebras and from 1995 to 2000 the project Structure of Quantum Groups in the Collaborative Research Center 343's Discrete Structures in Mathematics; he also led the project Topological and Spectral Structures in Representation Theory in the Collaborative Research Center 701's Spectral Structures and Topological Methods in Mathematics. He has published over 140 papers (2005) and was ranked Highly Cited Researcher at the ISI in 2004.
Ringel was elected a Fellow of the American Mathematical Society in 2012. He was an Invited Speaker at the International Congress of Mathematicians in 1983 in Warsaw with talk Indecomposable representations of finite-dimensional algebras.
He is a member of the Norwegian Academy of Science and Letters and honorary doctor of the Norwegian University of Science and Technology in Trondheim.
In 2005/06 he was chair of the Review Board for Mathematics at the Deutsche Forschungsgemeinschaft.
Selected publications
Articles
Unzerlegbare Darstellungen endlich-dimensionaler Algebren, Jahresbericht DMV 85 (1983), 86–105
Hall algebras and quantum groups, Inventions Mathematicae 100, no. 1 (1990), 583–591
Hall algebras, Banach Center Publications 26, no. 1 (1990): 433–447
Recent advances in the theory of finite dimensional algebras. (1984-1990), Progress in Mathematics 95, Birkhäuser 1991, pp. 141–192
The elementary 3-Kronecker modules, arXiv:1612.09141v (2016)
Books
with Vlastimil Dlab: Indecomposable representations of graphs and algebras , AMS 1976
Tame Algebras and Integral Quadratic Forms, Springer Verlag 1984;
with Vlastimil Dlab: Representations of finite di |
https://en.wikipedia.org/wiki/Khor%20Virap%20State%20Sanctuary | {
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The Khor Virap State Sanctuary is a wetland and protected area that was established within the administrative borders of Pokr Vedi village of the Ararat Province of Armenia, on the left bank of the Khor Virap Church of the Arax River and on 50.28 hectares of moist land of the right-hand side of Artashat, formerly the capital of Armenia.
Main purpose
The main purpose of the organization of the Sanctuary is to ensure the preservation, normal development, reproduction and sustainable use of the ecosystem of wetlands of international significance, flora and fauna, especially for waterfowl and their habitats, rare plant species and their habitats. The specially protected objects of the Sanctuary area are the unique wildlife and water-swamp flora of the ecosystem of the Arax wetlands.
Rare Species
The Khor Virap water-swamp ecosystem is distinguished by the rare species of flora and fauna, which are endangered to disappearance. In this area and its surroundings, there are such rare species as Falcaria falcarioides, Inula aucheriana, Sonchus araraticus, from the Chenopodiaceae species - Alhagi pseudoalhagi, Amberboa iljiniana, Tamarix octandra and so on.
Falcaria falcarioides
The Falcaria falcarioides are species being in a critical state. They grow in the lower mountainous belt, on the height of 800–900 meters above the sea level, on saline soils, in marshlands and moist meadows. Flowering in June, fruiting in July.
Inula aucheriana
Inula aucheriana is endangered species. Perennial herb 15–60 cm, usually covered by chondrose verrucose tubercles. Rhizome nodose. Leaves slightly fleshy. Capitula 5–8 mm in diameter, gathered in lax raceme. Ligulate flowers with 1–4 staminodia. Achenes glabrous or sparsely pilose. Grows in lower mountain belt, at the altitudes of 800–1100 meters above sea level. Flowering from July to August, fruiting from August to September.
Tamarix octandra
Tamarix octandra is an endangered species. It is a tree with a height of 2–2.5 meters, with a yellow-brown peat. It grows in the lower mountainous belt, at a height of 700–1100 meters above sea level. It flowers in May and fruits in June.
Importance
The Khor Virap water-swamp area is of great importance as a habitat for a number of watering and waterfowl birds and as a resting place during the seasonal flight of birds. In particular, marbled duck (Marmaronetta angustirostris) and white-headed duck (Oxyura leucocephala) live here among the world-endangered birds, while the Dalmatian pelican (Pelecanus crispus) during the flight.
Small Phalacrocorax pygmaeus, gadwall (Anas strepera), black-winged stilt (Himantopus himantopus), pied avocet (Recurvirostra avosetta) and bluethroat (Luscinia svecica) live in this ter |
https://en.wikipedia.org/wiki/Bet%C3%BCl%20Tanbay | Betül Tanbay (born 1960) is a Turkish mathematician, scientist and professor of mathematics at the Boğaziçi University in Istanbul, Turkey and the first woman president of the Turkish Mathematical Society between 2010 and 2016.
Education
Betül Tanbay was born in Istanbul and raised in Ankara until 1977. She graduated from the Lycée Janson de Sailly, Paris, France in 1978. She received her Licence en Mathématiques from Université Louis Pasteur, Strasbourg in 1982, and her PhD in Mathematics under the supervision of Robert Solovay at the University of California, Berkeley in the United States in 1989.
Academic career
She has been a full time member and chairwoman in the Department of Mathematics, at Boğaziçi University, Istanbul. She has been the Vice-Provost for Foreign Affairs and represented her university at the European University Association between 2004 and 2007. She is the founding codirector of the Istanbul Center for Mathematical Sciences (IMBM). She has been in the scientific boards of research institutes such as IMBM, Feza Gürsey Institute, Institut d'Etudes Avancées - Aix Marseille (IMéRA). She was the director of a leading doctoral network project of TÜBİTAK between 2008 and 2012. She has worked as an executive committee member, including presidency, at the Turkish Mathematical Society; as delegate, Ethics Committee member, Raising Awareness Committee member, Executive Committee member at the European Mathematical Society where she was elected vice-president for the 2019-2022 period; and as delegate, member of the Committee for Women in Mathematics at the International Mathematical Union.
Visiting positions
She has held visiting positions at UC Berkeley and UC Santa Barbara, Université de Bordeaux, Institut de Mathématiques de Jussieu, University of Kansas, Pennsylvania State University and joined the Kadison-Singer Conjecture Workshop at the American Institute of Mathematics.
Research areas
Her research interests include operator algebras and set theory.
Representative scientific journal publications
C. Akemann, J. Anderson, B. Tanbay, Weak Paveability And The Kadison-Singer Problem, Journal of Operator Theory, vol. 71, no. 1, pp. 295–300 (2014).
B. Tanbay, A Letter on the Kadison-Singer problem, Revue Roumaine des Mathématiques Pures et Appliquées, vol. 59, no. 2, pp. 293–302 (2014). http://imar.ro/journals/Revue_Mathematique/pdfs/2014/2/10.pdf
C. Akemann, J. Anderson, B. Tanbay, The Kadison-Singer problem for the direct sum of matrix algebras, Positivity, vol. 16, no. 1, pp 53–66 (2012). https://link.springer.com/content/pdf/10.1007%2Fs11117-010-0109-1.pdf
C. Akemann, B. Tanbay, A. Ülger A Note On The Kadison-Singer Problem, Journal of Operator Theory, vol. 63, no. 2, 363–274 (2010).
Memberships
Betül Tanbay is a member of the Turkish, American and European Mathematical Societies.
References
External links
Betül Tanbay's professional home page
Turkish mathematicians
1960 births
Living people
Women mathematicia |
https://en.wikipedia.org/wiki/Alex%20Sander | Alex Sander (born 1 January 1997) is an Indonesian professional footballer who plays as a goalkeeper.
Career statistics
Club
Notes
References
External links
Alex Sander at Liga Indonesia
1997 births
Living people
People from Palembang
Indonesian men's footballers
Men's association football goalkeepers
Persela Lamongan players
Sriwijaya F.C. players
PSS Sleman players
PS Mitra Kukar players
Kalteng Putra F.C. players
Liga 1 (Indonesia) players
Liga 2 (Indonesia) players
Sportspeople from South Sumatra |
https://en.wikipedia.org/wiki/Taivo%20Arak | Taivo Arak (2 November 1946, Tallinn – 17 October 2007, Stockholm) was an Estonian mathematician, specializing in probability theory.
Biography
In 1969 he graduated from Leningrad State University. There he received in 1972 his Russian candidate degree (Ph.D.) under I. A. Ibragimov.
In 1983 Arak defended his dissertation for his Russian doctorate (higher doctoral degree similar to habilitation).
From 1972 to 1981 he worked at the Tallinn University of Technology. From 1981 he worked at the Institute of Cybernetics of the Academy of Sciences of the Estonian SSR. In 1986 he was an Invited Speaker at the International Congress of Mathematicians in Berkeley, California.
Most of his research dealt with the theory of probability.
Awards
(1983) - for the series of papers "Равномерные предельные теоремы для сумм независимых случайных величин" (Uniform limit theorems for sums of independent random variables).
Selected publications
with Andrei Yuryevich Zaitsev:
with Donatas Surgailis:
with D. Surgailis:
with Peter Clifford and D. Surgailis:
References
External links
Арак Тайво Викторович, ras.ru
Arak Taivo Viktorovich, list of publications. mathnet.ru
1946 births
2007 deaths
Estonian mathematicians
Probability theorists
Saint Petersburg State University alumni
Academic staff of the Tallinn University of Technology
People from Tallinn |
https://en.wikipedia.org/wiki/Arb%C3%ABr%20Hebeja | Arbër Hebeja (born 27 March 2002) is an Albanian professional footballer who plays as a defender for Apolonia Fier.
Career statistics
Club
Notes
References
2002 births
Living people
Footballers from Fier
Albanian men's footballers
Men's association football defenders
Kategoria e Parë players
FK Apolonia Fier players |
https://en.wikipedia.org/wiki/Flamur%20Ru%C3%A7i | Flamur Ruçi (born 19 January 2002) is an Albanian professional footballer who plays as a midfielder for Kategoria Superiore club Bylis and the Albania national U21 team.
Career statistics
Club
Notes
References
External links
Profile - UEFA
Profile - ESPN
2002 births
Living people
Sportspeople from Berat
Albanian men's footballers
Men's association football midfielders
KF Tomori players
KF Luftëtari players
KF Bylis players
Kategoria e Parë players
Kategoria Superiore players |
https://en.wikipedia.org/wiki/Gloris%20Veseli | Gloris Veseli (born 1 October 2000) is an Albanian professional footballer who plays as a defender for Besëlidhja.
Career statistics
Club
References
2000 births
Living people
Sportspeople from Lezhë
Albanian men's footballers
Men's association football defenders
KF Shënkolli players
Kategoria e Parë players |
https://en.wikipedia.org/wiki/Redon%20Danaj | Redon Danaj (born 6 August 2000) is an Albanian professional footballer who plays as a midfielder for Vllaznia .
Career statistics
Club
Notes
References
2000 births
Living people
Sportspeople from Lezhë
Albanian men's footballers
Men's association football midfielders
KF Shënkolli players
KS Kastrioti players
Kategoria e Parë players |
https://en.wikipedia.org/wiki/Bright%20Friday%20%28footballer%29 | Bright Friday (born 13 December 1998) is a Nigerian footballer who currently plays as a midfielder.
Career statistics
Club
Notes
References
1998 births
Living people
Nigerian men's footballers
Nigerian expatriate men's footballers
Men's association football midfielders
Kategoria e Parë players
KF Shkumbini players
Nigerian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Footballers from Lagos
KF Tomori players |
https://en.wikipedia.org/wiki/Beji%20Anthony | Amos Beji Anthony (born 4 January 1999) is a Nigerian footballer who currently plays as a midfielder for Bylis Ballsh in the Albanian Superliga.
Career statistics
Club
Notes
References
1999 births
Living people
Sportspeople from Plateau State
Men's association football midfielders
Nigerian men's footballers
KF Egnatia players
KF Bylis players
Kategoria e Parë players
Kategoria Superiore players
Nigerian expatriate men's footballers
Nigerian expatriate sportspeople in Albania
Expatriate men's footballers in Albania |
https://en.wikipedia.org/wiki/Kingsley%20Agbodike | Kingsley Agbodike (born 15 January 1999), also known as Kingsley Ogbodike, is a Nigerian footballer who currently plays as a forward for KS Kastrioti.
Career statistics
Club
Notes
References
1999 births
Living people
Nigerian men's footballers
Nigerian expatriate men's footballers
Men's association football forwards
Kategoria e Parë players
Kategoria Superiore players
KF Tomori players
KS Kastrioti players
Nigerian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Footballers from Lagos |
https://en.wikipedia.org/wiki/William%20Hamilton%20Meeks%2C%20III | William Hamilton Meeks III (born 8 August 1947 in Washington, DC) is an American mathematician, specializing in differential geometry and minimal surfaces.
Meeks studied at the University of California, Berkeley, with bachelor's degree in 1971, master's degree in 1974, and Ph.D. in 1975 with supervisor H. Blaine Lawson and thesis The Conformal Structure and Geometry of Triply Periodic Minimal Surfaces in . He was an assistant professor in 1975–1977 at the University of California, Los Angeles (UCLA), in 1977–1978 at the Instituto de Matemática Pura e Aplicada (IMPA), and in 1978–1979 at Stanford University. From 1979 to 1983 he was a professor at IMPA. He was from 1983 to 1984 a visiting member of the Institute for Advanced Study and from 1984 to 1986 a professor at Rice University with the academic year 1985–1986 spent as a visiting professor at the University of California, Santa Barbara. From 1986 to 2018 he has been the George David Birkhoff Professor of Mathematics at the University of Massachusetts, Amherst. He currently is at the Institute for Advanced Study after assuming professor emeritus status at UMass Amherst.
He is known as an expert on minimal surfaces and their computer graphics visualization; on the latter subject he has collaborated with David Allen Hoffman. For the academic year 2006/07 Meeks was a Guggenheim Fellow.
In 1986 at the International Congress of Mathematicians in Berkeley, he was Invited Speaker with talk Recent progress on the geometry of surfaces in and on the use of computer graphics as a research tool.
Selected publications
with Shing-Tung Yau:
with Leon Simon and S.-T. Yau:
with S.-T. Yau:
with L. P. Jorge:
with G. Peter Scott:
with David Allen Hoffman:
with D. Hoffman:
with Harold Rosenberg:
with Joaquín Pérez:
with J. Pérez and Giuseppe Tinaglia:
References
External links
Homepage
IAS Profile
20th-century American mathematicians
21st-century American mathematicians
Differential geometers
University of California, Berkeley alumni
Instituto Nacional de Matemática Pura e Aplicada researchers
Rice University faculty
University of Massachusetts Amherst faculty
1947 births
Living people |
https://en.wikipedia.org/wiki/Henry%20Okebugwu | Henry Chimuchem Okebugwu (born 19 June 1998) is a Nigerian footballer who currently plays as a midfielder for Turan-Tovuz in Azerbaijan Premier League.
Career statistics
Club
Notes
References
1998 births
Living people
Nigerian men's footballers
Nigerian expatriate men's footballers
Men's association football midfielders
Kategoria e Parë players
Kategoria Superiore players
Ifeanyi Ubah F.C. players
FK Partizani Tirana players
KS Kastrioti players
Nigerian expatriate sportspeople in Albania
Expatriate men's footballers in Albania
Footballers from Lagos |
https://en.wikipedia.org/wiki/List%20of%20Orlando%20City%20SC%20records%20and%20statistics | Orlando City SC is an American professional soccer team based in Orlando, Florida, that competes in Major League Soccer (MLS).
This is a list of franchise records for Orlando, which dates from their inaugural MLS season in 2015 to present.
All stats accurate as of match played July 29, 2023.
Honors
Domestic
U.S. Open Cup: 1
Winners: 2022
Player records
Appearances
Youngest first-team player: Alejandro Granados – (against Colorado Rapids, MLS, June 10, 2023)
Oldest first-team player: Donovan Ricketts – (against D.C. United, MLS, May 14, 2015)
Oldest first-team player (outfield): Kaká – (against Columbus Crew, MLS, October 15, 2017)
Youngest playoff appearance: Michael Halliday – (against CF Montréal, October 16, 2022)
Oldest playoff appearance: Nani – (against Nashville SC, November 23, 2021)
Youngest continental appearance: Michael Halliday – (against Tigres UANL, CONCACAF Champions League, March 7, 2023)
Oldest continental appearance: Nani – (against Santos Laguna, Leagues Cup, August 12, 2021)
Most appearances
Competitive, professional matches only.
USOC = U.S. Open Cup; Continent = Continental competitions include CONCACAF Champions League, Leagues Cup and Campeones Cup
Bolded players are currently on the Orlando City SC roster.
Goals
Youngest goalscorer: Cyle Larin – (against Portland Timbers, MLS, April 12, 2015)
Oldest goalscorer: Kaká – (against New England Revolution, MLS, September 27, 2017)
Most goals in a season in all competitions: 18 – Cyle Larin, 2015
Most League goals in a season: 17 – Cyle Larin, 2015
Most goals scored in a match: 3
Carlos Rivas v Charleston Battery, U.S. Open Cup, June 17, 2015
Cyle Larin v New York City FC, MLS, July 26, 2015
Cyle Larin v New York Red Bulls, MLS, September 25, 2015
Goals in consecutive league matches: 4 consecutive matches
Dom Dwyer, March 31, 2018 to April 22, 2018
Nani, April 6, 2019 to May 4, 2019
Daryl Dike, October 24, 2021 to February 27, 2022
Fastest goal: 0 minutes 31 seconds – Tesho Akindele v FC Cincinnati, MLS, May 1, 2021
Latest goal (not AET): 99 minutes 35 seconds – Kaká v Toronto FC, MLS, June 25, 2016
Fastest hat-trick: 20 minutes 27 seconds – Carlos Rivas v Charleston Battery, U.S. Open Cup, June 17, 2015
Most hat-tricks: 2 – Cyle Larin (July 26, 2015 to September 25, 2015)
Overall goals
Competitive, professional matches only, appearances including substitutes appear in brackets.
USOC = U.S. Open Cup; Continent = Continental competitions include CONCACAF Champions League, Leagues Cup and Campeones Cup
Bolded players are currently on the Orlando City SC roster.
Goalkeeping
Youngest goalkeeper: Brandon Austin – (against Toronto FC, MLS, June 19, 2021)
Oldest goalkeeper: Donovan Ricketts – (against D.C. United, MLS, May 14, 2015)
Most shutouts
Competitive, professional matches only, appearances including substitutes appear in brackets.
USOC = U.S. Open Cup; Continent = Continental competitions include CONCACAF Champions League, Leag |
https://en.wikipedia.org/wiki/Lucas%20Cardoso%20%28footballer%2C%20born%201994%29 | Lucas Ferreira Cardoso (born 7 April 1994) is a Brazilian footballer who currently plays as a forward.
Career statistics
Club
Notes
References
1994 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Clube Recreativo e Atlético Catalano players
Itumbiara Esporte Clube players
Nacional Atlético Clube Sociedade Civil Ltda. players
Rio Branco Football Club players
FK Pelister players
FK Partizani Tirana players
FC Drita players
KF Besa Kavajë players
FC Kyzylzhar players
FC Ballkani players
Al-Naft SC players
Persekat Tegal players
Campeonato Brasileiro Série D players
Macedonian First Football League players
Football Superleague of Kosovo players
Kategoria e Parë players
Iraq Stars League players
Liga 2 (Indonesia) players
Expatriate men's footballers in North Macedonia
Expatriate men's footballers in Albania
Expatriate men's footballers in Kosovo
Expatriate men's footballers in Kazakhstan
Expatriate men's footballers in Iraq
Expatriate men's footballers in Indonesia
Brazilian expatriate sportspeople in North Macedonia
Brazilian expatriate sportspeople in Albania
Brazilian expatriate sportspeople in Kosovo
Brazilian expatriate sportspeople in Kazakhstan
Brazilian expatriate sportspeople in Iraq
Brazilian expatriate sportspeople in Indonesia |
https://en.wikipedia.org/wiki/Hardee%20Shamsuri | Muhammad Hardee bin Shamsuri (born 4 June 1994) is a Malaysian footballer who plays as a midfielder for UiTM.
Career statistics
Club
Honours
Club
Kuala Lumpur
Malaysia Premier League: 2017
References
External links
1994 births
Living people
Malaysian men's footballers
Men's association football midfielders
Kuala Lumpur City F.C. players
Sri Pahang FC players
UiTM United players
Malaysia Super League players |
https://en.wikipedia.org/wiki/Jesper%20L%C3%BCtzen | Jesper Lützen (born 8 October 1951 in Svendborg) is a Danish historian of mathematics and the physical sciences.
Biography
Lützen graduated in mathematics (with a minor in physics) in 1976 from Aarhus University, where he also earned his Ph.D. in 1980 in the history of science under the supervision of Kirsti Andersen. In 1980 he was a visiting scholar at Yale University (studying under Asger Aaboe) and became a temporary lecturer (a temporary assistant professor position) at Odense University and from 1985 a lecturer at the University of Copenhagen. In 1990 he received his habilitation (Doctor Scientiarum) from the University of Copenhagen. There he has been a lecturer since 1989 and since 2005 a professor of mathematics history at the University of Copenhagen's Faculty of Mathematics. He has been a visiting scholar at Utrecht (studying with Henk Bos) and at several other places: Paris, MIT's Dibner Institute, the Mittag-Leffler Institute of the Royal Swedish Academy of Sciences, the California Institute of Technology, the University of California, Santa Barbara, and the University of Toronto.
Lützen's research deals with the prehistory of distributions (before their precisely-defined introduction by Sergei Sobolev around 1936 and Laurent Schwartz around 1950), as well as Joseph Liouville (whose biography he wrote) and Heinrich Hertz and Hertz's mechanics. The prehistory of the theory of distributions was also the topic of Lützen's dissertation.
He is a co-editor of the Archive for History of Exact Sciences, Historia Mathematica, and the Revue d'histoire des mathématiques, as well as Springer Verlag's book series Archimedes: New Sources and Studies in the History of Mathematics and Physical Sciences with series editor Jed Buchwald.
In 1990, Lützen was an Invited Speaker at the International Congress of Mathematicians in Kyoto. Since 1993 he has been a full member of the International Academy of the History of Science (previously a corresponding member since 1988). He is, since 1986, a member of the Danish National Committee for the History and Philosophy of Science and is, since 1990, the Danish representative in the International Commission on the History of Mathematics. He was elected in 1996 a member of the Royal Danish Academy of Sciences and Letters and in 2012 a Fellow of the American Mathematical Society. He is a member of the USA-based History of Science Society and a member of the Danish Mathematical Society. He is also a member of the Danish Society for the History of Science, whose president he was from 1995 to 2006 and whose secretary he has been since 2007.
He is married since 1990 and has three daughters.
Selected publications
Mechanistic images in geometric form: Heinrich Hertz's principles of mechanics, Oxford University Press 2005
The Prehistory of the Theory of Distributions, Studies in the History of Mathematics and the Physical Sciences, Volume 7, Springer Verlag 1982;
Joseph Liouville 1809–1882. Master of pure and |
https://en.wikipedia.org/wiki/Seiji%20Kimura | is a Japanese footballer who plays as a centre back for club FC Tokyo.
Career statistics
Club
References
External links
2001 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
J1 League players
J2 League players
J3 League players
FC Tokyo players
FC Tokyo U-23 players
Kyoto Sanga FC players
SC Sagamihara players |
https://en.wikipedia.org/wiki/Nagi%20Matsumoto | is a Japanese footballer currently playing as a midfielder for Ventforet Kofu on loan from Cerezo Osaka.
Career statistics
Club
Notes
Honours
Club
Ventforet Kofu
Emperor's Cup: 2022
References
External links
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
J3 League players
J2 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
Tochigi SC players
Ventforet Kofu players
Association football people from Osaka |
https://en.wikipedia.org/wiki/Riku%20Kobayashi | is a Japanese footballer who currently plays for FC Tokushima from 2023.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Juntendo University alumni
Men's association football midfielders
J3 League players
FC Tokyo players
FC Tokyo U-23 players
FC Tokushima players |
https://en.wikipedia.org/wiki/Carlos%20Airala | Carlos Airala (born 25 August 2002) is an Argentine footballer currently playing as a midfielder for Ferro Carril Oeste of the Primera B Nacional.
Career statistics
Club
Notes
References
2002 births
Living people
Argentine men's footballers
Men's association football midfielders
Primera Nacional players
Ferro Carril Oeste footballers |
https://en.wikipedia.org/wiki/Khaldoun%20Moussa | Khaldoun Ismail Moussa (; born 8 June 1999), is a Qatari footballer who plays as a midfielder for Qatar Stars League side Al-Kharaitiyat .
Career statistics
Club
Notes
References
1999 births
Living people
Qatari men's footballers
Men's association football midfielders
Al-Arabi SC (Qatar) players
Al Kharaitiyat SC players
Qatar Stars League players |
https://en.wikipedia.org/wiki/Al-Kasabi | Al-Kasabi () is a Syrian town located in Deir ez-Zor District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), the town had a population of 4,325 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate |
https://en.wikipedia.org/wiki/Q%20series | Q series can refer to:
Bombardier Q series (Dash 8) – aircraft
IdeaCentre Q series – nettop computers
Pentax Q series – cameras
In mathematics
q-Pochhammer symbol q-series
Hypergeometric q-series
See also
P series (disambiguation)
R series (disambiguation) |
https://en.wikipedia.org/wiki/Dmitri%20Burago | Dmitri Yurievich Burago (Дмитрий Юрьевич Бураго, born 1964) is a leading Russian - American mathematician, specializing in differential, Riemannian, Finsler geometry, geometric analysis, dynamical systems and applications to mathematical physics.
He is the son of the celebrated Geometer and Russian mathematician Yuri Dmitrievich Burago, with whom he also published well known book on metric geometry. Burago studied at 45th Physics-Mathematics School. Burago received his doctorate in 1994 at Saint Petersburg State University under the supervision of Anatoly Vershik. He was at the Steklov Institute in Saint Petersburg and is now a professor at Pennsylvania State University's Center for Dynamical Systems and Geometry.
In 1992, he was awarded the prize of the Saint Petersburg Mathematical Society. In 1998, he was an Invited Speaker at the International Congress of Mathematicians in Berlin. In 2014, he was awarded the Leroy P. Steele Prize with Yuri Burago and Sergei Vladimirovich Ivanov for their book A course in metric geometry.
Selected publications
Articles
"Periodic metrics." In: Seminar on dynamical systems, pp. 90–95. Birkhäuser, Basel, 1994.
with Sergei Ivanov: "Riemannian tori without conjugate points are flat." Geometric & Functional Analysis GAFA 4, no. 3 (1994): 259–269.
with Sergei Ivanov and Bruce Kleiner: "On the structure of the stable norm of periodic metrics." Mathematical Research Letters 4, no. 6 (1997): 791-808.
with Michael Brin and Sergei Ivanov: "On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group." Modern dynamical systems and applications 307 (2004): 312
with Sergei Ivanov and Leonid Polterovich: "Conjugation-invariant norms on groups of geometric origin." arXiv preprint arXiv:0710.1412 (2007).
Books
with Yuri Burago and Sergei Ivanov: A Course in Metric Geometry, American Mathematical Society 2001
References
External links
Mathnet.ru
20th-century Russian mathematicians
21st-century Russian mathematicians
Geometers
Differential geometers
1964 births
Living people |
https://en.wikipedia.org/wiki/Luci%20%28footballer%29 | Luciano Martín Toscano (born 17 August 1972), commonly known as Luci, is a Spanish retired footballer who played as a central defender, and is a current coach.
Managerial statistics
References
External links
1972 births
Living people
Sportspeople from the Province of Huelva
Spanish men's footballers
Footballers from Andalusia
Men's association football defenders
Segunda División players
Segunda División B players
Tercera División players
CD San Roque de Lepe footballers
Sevilla Atlético players
Recreativo de Huelva players
Levante UD footballers
AD Ceuta footballers
Spanish football managers
Segunda División B managers
Sevilla Atlético managers |
https://en.wikipedia.org/wiki/Gunter%20Malle | Gunter Malle (born 13 May 1960 in Karlsruhe) is a German mathematician, specializing in group theory, representation theory of finite groups, and number theory.
Malle received his doctorate in 1986 from Karlsruhe Institute of Technology under the supervision of Heinrich Matzat with thesis Exceptional groups of Lie type as Galois groups. He completed his habilitation in 1991 at Heidelberg University and from 1998 was a professor at Kassel University. Since 2005 he is professor at the Technische Universität Kaiserslautern.
Malle does research on linear algebraic groups, finite groups of Lie type and on local-global conjectures in finite-group representation theory, e.g. the Brauer height-zero conjecture, the Alperin weight conjecture, and the McKay conjecture and its block-wise version known as the Alperin-McKay conjecture. Malle's research also deals with the Cohen-Lenstra heuristic of the structure of class groups of quadratic number fields in algebraic number theory, the asymptotic distribution of Galois groups of number fields, and with the inverse problem of Galois theory.
In 1993 he began a collaboration with Michel Broué and Jean Michel concerning Spetses (named after the Greek island Σπέτσες where the program was initiated). The starting point was the question of whether every finite complex reflection group is a Weyl group of an object analogous to a finite group of Lie type. They baptized the unknown, yet to be constructed, objects Spetses.
In 1998, he was an Invited Speaker with talk Spetses at the International Congress of Mathematicians in Berlin.
In 1994 he received the Alexander von Humboldt Research Award for Franco-German scientific cooperation.
Selected publications
with Olivier Dudas: Modular irreducibility of cuspidal unipotent characters , Invent. Math., Vol. 211, 2018, pp. 579–589
with Britta Späth: Characters of odd degree , Annals of Mathematics, Vol. 184, 2016, pp. 869–908
with Caroline Lassueur and Elisabeth Schulte: Simple endotrivial modules for quasi-simple groups , J. reine angew. Math., Volume 712, 2016, pp. 141–174
with Michel Broué and Jean Michel: Split Spetses for primitive reflection groups. Société mathématique de France, 2014. arXiv preprint
with Radha Kessar: Quasi-isolated blocks and Brauer's height zero conjecture , Annals of Mathematics, Vol. 178, 2013, pp. 321–384
with Robert Guralnick: "Products of conjugacy classes and fixed point spaces", J. Amer. Math. Soc., Vol. 25, 2012, pp. 77–121
with Donna Testerman: Linear algebraic groups and Finite Groups of Lie Type, Cambridge University Press 2011
with Marty Isaacs and Gabriel Navarro: A reduction theorem for the McKay conjecture, Invent. Math., Vol. 170, 2007, pp. 33–101
with Jürgen Klüners: Counting nilpotent Galois extensions, J. reine angew. Math., Vol. 572, 2004, p. 1–26
with Heinrich Matzat: Inverse Galois Theory, Springer Verlag 1999
with Michel Broué and Raphaël Rouquier: Complex reflection groups, braid groups, Hecke alge |
https://en.wikipedia.org/wiki/Norah%20Patten | Norah Patten is an Irish aeronautical engineer and an award winning STEM (Science, Technology, Engineering and Maths) advocate from Ballina, County Mayo.
Early life and education
Patten was born in Ballina, County Mayo. She attended St. Mary's Secondary School, and has been fascinated by space since visiting NASA's Glenn Research Centre in Cleveland, Ohio when she was 11 years old. She never let go of that interest and passion for space; designing rockets for her junior certificate art project, visiting NASA on numerous occasions as a teenager, and opting to study Aeronautical Engineering at the University of Limerick. Patten completed a work placement at Boeing during her undergraduate degree program and continued her education at the University of Limerick, where she obtained her doctorate in Aerodynamics in 2011. She completed a work placement in Bell Labs during this time.
Patten participated European Space Agency supported Alpbach Summer School in 2008 and graduated from the International Space University Space Studies Program in 2010.
Career
Patten worked as a lecturer and project manager at University of Limerick before joining the Irish Composites Centre as the Communications and Outreach Manager in 2012. Patten initiated and managed "The Only Way is Up" project, which sent Ireland’s first student experiment to the International Space Station in 2014, through a commercial agreement with NanoRacks.
She was awarded an International Astronautical Federation Emerging Space Leaders Grant and was a panellist on the Next Generation Plenary in 2015 . Patten has been selected as department and team project Chair at the International Space University on numerous occasions and was elected as a member of the voluntary global faculty of the International Space University in 2016. Patten was the first Irish participant at Project PoSSUM and has completed high-g flights, hypoxia training, aviation egress training and spacesuit testing and evaluations.
Communication and Outreach
Patten is a strong advocate for STEM education. She is an experienced communicator and has appeared on several national television shows including Virgin Media One, Ireland AM and numerous radio programs, including Today FM. She regularly gives keynote speeches and works with Irish companies to promote STEM initiatives. Patten was among Limerick's Top 40 under 40 featured in Image as part of the Changemakers series in 2018.
Patten created Planet Zebunar, a STEM product for children that is inclusive, non-gender specific and offers an immersive experience through the combination of offline and online technologies, namely augmented reality. Patten's stated mission is to develop a community of STEM enthusiasts and inspire the next generation of engineers, astronauts, scientists and innovators.
References
Living people
Irish women engineers
Aeronautical engineers
Women space scientists
People from Ballina, County Mayo
Year of birth missing (living people)
Engineers from |
https://en.wikipedia.org/wiki/Larisa%20Akrofie | Larisa Akrofie is the founder of Levers in Heels, a website bringing visibility to African women in Science, Technology, Engineering and Mathematics (STEM) through its featured interviews, research, and mentorship programs.
Career
She is an advocate for African women in STEM and has spoken on various international platforms about women empowerment through STEM education, entrepreneurship and skills development.
Larisa has worked in the areas of education, enterprise and skills development in Ghana.
Education
Larisa attended Achimota School for her secondary education. She is an alumna of the University of Ghana where she received a bachelor's degree in biomedical engineering.
Awards & Recognitions
A former member of the World Economic Forum community of Global Shapers and ex-curator of the Global Shapers community in Accra, Ghana.
Listed in 2018 as one of the Top 50 Most Influential Young Ghanaians by Avance Media.
2020 National Women in STEM Honours - Supported by the Ministry of Communications, Ghana.
1st Runner Up of the 2021 'Digital Inclusion & Innovation' category of the Coalition for Digital Equality Awards.
Finalist of the 2021 'Women Empowerment Award' category of the GhanaWeb Excellence Awards.
References
Year of birth missing (living people)
Living people
Ghanaian publishers (people)
University of Ghana alumni
Ghanaian women scientists
Ghanaian editors
Ghanaian women editors
Ghanaian curators
Ghanaian women curators
Ghanaian women activists |
https://en.wikipedia.org/wiki/1976%E2%80%9377%20Galatasaray%20S.K.%20season | The 1976–77 season was Galatasaray's 72nd in existence and the club's 19th consecutive season in the Turkish First Football League. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
1. Lig
Standings
Matches
Turkiye Kupasi
1/4 final
European Cup Winners' Cup
First round
Second round
Friendly match
Pre-season friendly
Yasin Özdenak Testimonial match
Quad-tournament
Deprem Kupası
Attendance
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
1979–1980 İstanbul Futbol Ligi. Türk Futbol Tarihi vol.1. page(121). (June 1992) Türkiye Futbol Federasyonu Yayınları.
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1976–77 season
1970s in Istanbul
Galatasaray Sports Club 1976–77 season |
https://en.wikipedia.org/wiki/Radu%20Boboc | Radu Ștefăniță Boboc (born 24 April 1999) is a Romanian professional footballer who plays as a full-back for Liga I club Voluntari.
Career statistics
Club
Honours
Viitorul Constanța
Cupa României: 2018–19
Supercupa României: 2019
Farul Constanța
Liga I: 2022–23
References
External links
1999 births
Living people
Footballers from Craiova
Romanian men's footballers
Romania men's youth international footballers
Romania men's under-21 international footballers
Men's association football midfielders
Liga I players
FC Viitorul Constanța players
FCV Farul Constanța players
FC Steaua București players
FC Voluntari players
Olympic footballers for Romania
Footballers at the 2020 Summer Olympics |
https://en.wikipedia.org/wiki/Steven%20Zelditch | Steven Morris Zelditch (13 September 1953 – 11 September 2022) was an American mathematician, specializing in global analysis, complex geometry, and mathematical physics (e.g. quantum chaos).
Zelditch received in 1975 from Harvard University his bachelor's degree in mathematics and in 1981 from the University of California, Berkeley his Ph.D. under Alan Weinstein with thesis Reconstruction of singularities of solutions for Schrödinger's equations. From 1981 to 1985 Zelditch was Ritt Assistant Professor at Columbia University. At Johns Hopkins University he was from 1985 to 1989 an assistant Professor, from 1989 to 1992 an associate professor, and from 1992 to 2010 a professor. In 2010 he moved to Northwestern University, where he was Wayne and Elizabeth Jones Professor of Mathematics.
In 1987/88 he was at MIT and in 1988 a visiting professor at MSRI.
He has done research on the spectral and scattering theory of the Laplace operator on Riemannian manifolds and especially the asymptotic and distribution of its eigenfunctions (e.g. quantum ergodicity, equidistribution of eigenfunctions in billiard geometries, quantum ergodic restriction theorems to separating hypersurfaces). He has also done research on the inverse spectral problem. (This problem is described in Can you hear the shape of a drum? by Mark Kac.) In a seminal paper in 2009, Zelditch showed that one can recover the shape of a convex, analytic planar domain with up-down symmetries from its Laplace spectrum. In 2019, together with Hamid Hezari, Zelditch showed that ellipses of small eccentricity are spectrally determined amongst all smooth, convex planar domains. Among Zelditch's other research topics are Bergman kernels, Kähler metrics, Gaussian random waves, and random metrics. In a famous paper, Zelditch applied semiclassical methods to complex algebraic geometry with the semiclassical parameter playing the role of the reciprocal power of an ample line bundle over a Kähler manifold. The Tian-Yau-Zelditch theorem in this case gives a complete asymptotic expansion of the Bergman kernel near the diagonal. For example, the Catlin-De Angelo-Quillen theorem easily follows from this.
In 2002 he was an invited speaker with talk Asymptotics of polynomials and eigenfunctions at the International Congress of Mathematicians in Beijing. He was elected a Fellow of the American Mathematical Society in 2012.
In 2013, he and Xiaojun Huang shared the Stefan Bergman Prize for research done independently; Zelditch was cited for his research on the Bergman kernel.
Prior to his death, he was on the editorial boards of Communications in Mathematical Physics, Analysis & PDE, and the Journal of Geometric Analysis.
Selected publications
Articles
Reconstruction of singularities for solutions of Schrödinger's equation, Communications in Mathematical Physics, Vol. 90, 1983, pp. 1–26
Uniform distribution of eigenfunctions on compact hyperbolic surfaces, Duke Mathematical Journal, Vol. 55, 1987, pp. 919–94 |
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