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https://en.wikipedia.org/wiki/Beit%20Kammunah | Beit Kammunah () is a Syrian village in the Tartus District in Tartus Governorate. According to the Syria Central Bureau of Statistics (CBS), Beit Kammunah had a population of 1,803 in the 2004 census.
References
Alawite communities in Syria
Populated places in Tartus District |
https://en.wikipedia.org/wiki/Bishalama | Bishalama () is a Syrian village in the Qardaha District in Latakia Governorate. According to the Syria Central Bureau of Statistics (CBS), Bishalama had a population of 1,019 in the 2004 census.
References
Alawite communities in Syria
Populated places in Qardaha District |
https://en.wikipedia.org/wiki/Half%20graph | In graph theory, a branch of mathematics, a half graph is a special type of bipartite graph. These graphs are called the half graphs because they have approximately half of the edges of a complete bipartite graph on the same vertices. The name was given to these graphs by Paul Erdős and András Hajnal.
Definition
To define the half graph on vertices and , connect to by an edge whenever .
The same concept can also be defined in the same way for infinite graphs over two copies of any ordered set of vertices.
The half graph over the natural numbers (with their usual ordering)
has the property that each vertex has finite degree, at most . The vertices on the other side of the bipartition have infinite degree.
Properties
Distances
In a half graph, every two vertices are at distance one, two, or three. Any two vertices and are at distance two via a path through , and any two vertices and are at distance two via a path through . If two vertices on opposite sides of the bipartition are not adjacent (at distance one), then they are at distance three via a path through both and . Half-graphs are a special case of the bipartite chain graphs (bipartite graphs in which, on each side of the bipartition, the vertices can be ordered by neighborhood inclusion), which are in turn a special case of the bipartite distance-hereditary graphs. Thus, half-graphs are distance-hereditary. That is, in every connected induced subgraph of a half-graph, the distances are the same as in the half-graph itself.
Matching
The half graph has a unique perfect matching. This is straightforward to see by induction: must be matched to its only neighbor, , and the remaining vertices form another half graph. More strongly, every bipartite graph with a unique perfect matching is a subgraph of a half graph.
In graphs of uncountable chromatic number
If the chromatic number of a graph is uncountable,
then the graph necessarily contains as a subgraph a half graph on the natural numbers. This half graph, in turn, contains every complete bipartite graph in which one side of the bipartition is finite and the other side is countably infinite.
Applications
Regularity
One application for the half graph occurs in the Szemerédi regularity lemma,
which states that the vertices of any graph can be partitioned into a constant number of subsets of equal size, such that most pairs of subsets are regular
(the edges connecting the pair behave in certain ways like a random graph of some particular density). If the half graph is partitioned in this way into subsets, the number of irregular pairs will be at least proportional to . Therefore, it is not possible to strengthen the regularity lemma to show the existence of a partition for which all pairs are regular. On the other hand, for any integer , the graphs that do not have a -vertex half graph as an induced subgraph obey a stronger version of the regularity lemma with no irregular pairs.
Stability
Saharon Shelah's unstable formula theor |
https://en.wikipedia.org/wiki/Abu%20Hamam | Abu Hamam () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics, the town had a population of 21,947 in the 2004 census.
Syrian civil war
Abu Hamam was captured by Syrian Democratic Forces on 1 December 2017.
On 3 March 2022, a fighter with the Syrian Democratic Forces was shot dead in the town by Islamic State gunmen.
On 3 June 2022, two fighters and a smuggler were killed after Syrian forces launched an anti-smuggling operation in the town.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Al-Abbas%2C%20Syria | Al Abbas () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al Abbas had a population of 2,314 in the 2004 census.
History
During the Syrian Civil War, Al Abbas was occupied by ISIS until the Syrian Arab Army captured the town in 2017.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Al-Baghuz%20Fawqani | Al-Baghuz Fawqani () is a town in Syria, located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Baghuz Fawqani had a population of 10,649 in the 2004 census.
Syrian Civil War
During the course of the Syrian Civil War, the Baghuz area (including the nearby town Baghuz at-Tahtani) came under the control of the Islamic State of Iraq and the Levant (ISIL) jihadist organization. The area was initially administered by ISIL's Euphrates Province, but later transferred to al-Barakah district.
During a multi-year campaign in eastern Syria, the town was captured from ISIL by the Syrian Democratic Forces (SDF) on 23 January 2019, leaving ISIL completely besieged in the town of Al-Marashidah, to the north. However, on the next day, ISIL launched a series of suicide attacks to break the siege, allowing them to recapture parts of the town (mostly the western parts of the town), with the town's outskirts being targeted by air raids of the international coalition. On 7 February 2019, the SDF captured Al-Marashidah and other nearby areas from ISIL, completely besieging ISIL in the town of Al-Baghuz Fawqani, the final settlement under its control in the Levant.
Battle of Baghuz Fawqani
On 9 February 2019, the Syrian Democratic Forces, supported by the CJTF-OIR Coalition, launched a final assault to take Baghuz Fawqani and wipe out the last bastion of physical territory held by the Islamic State, opening the attack with a massive bombardment on the Huwayjat Khanafirah neighborhood, with violent clashes continuing throughout the night and into the morning hours. The Coalition said it struck a mosque in Baghuz Fawqani on 11 February, as it was being used as a command and control center by the Islamic State.
On 28 February, SDF spokesman Adnan Afrin announced discovery of a mass grave found 10 days ago in the town. It contained dozens of bodies, including of men and women while heads were also found in the grave. The SDF was trying to confirm whether they were Yazidis and Islamic State members. A video of Furat FM showed a mass-grave. The outlet's executive said that most of the bodies were apparently shot in the head. SDF spokeswoman Lilwa Abdulla confirmed they found large number of Yazidi bodies though there was no specific number. However, locals said the corpses were victims of airstrikes.
The assault to take the town resumed on 1 March, with the remaining ISIL militants and their families besieged and encamped at a tent city along the river. On 18 March, the United States launched an airstrike which killed 80 people, most of them civilians according to the New York Times. On 19 March, SDF spokesman Mustafa Bali announced that the SDF had control of all of Al-Baghuz Fawqani, with the exception for a few pockets along the shores of the Euphrates river, where intermittent clashes were still ongoing with resisting jihadists.
On Saturday, 23 March 2019, SDF forces, backed by the US, retook all of Al-Baghuz F |
https://en.wikipedia.org/wiki/Al-Marashidah | Al-Marashidah () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Marashidah had a population of 4,346 in the 2004 census.
The town fell under the control of the Islamic State of Iraq and the Levant in early 2014 during the Syrian Civil War. By 24 January 2019, Al-Marashidah was one of the final remaining Syrian settlements under control of the Islamic State, with the Syrian Democratic Forces fighting for control of the town. On the next day, ISIL carried out numerous suicide attacks on the SDF, in an attempt to break the siege, allowing them to recapture parts of Al-Baghuz Fawqani, to the south. On 7 February 2019, the SDF captured Al-Marashidah and other nearby areas from ISIL, completely besieging ISIL in the town of Al-Baghuz Fawqani.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Cop%20number | In graph theory, a branch of mathematics, the cop number or copnumber of an undirected graph is the minimum number of cops that suffices to ensure a win (i.e., a capture of the robber) in a certain pursuit–evasion game on the graph.
Rules
In this game, one player controls the position of a given number of cops and the other player controls the position of a robber. The cops are trying to catch the robber by moving to the same position, while the robber is trying to remain uncaught. Thus, the players perform the following actions, taking turns with each other:
On the first turn of the game, the player controlling the cops places each cop on a vertex of the graph (allowing more than one cop to be placed on the same vertex).
Next, the player controlling the robber places the robber on a vertex of the graph.
On each subsequent turn, the player controlling the cops chooses a (possibly empty) subset of the cops, and moves each of these cops to adjacent vertices. The remaining cops (if any) stay put.
On the robber's turn, he may either move to an adjacent vertex or stay put.
The game ends with a win for the cops whenever the robber occupies the same vertex as a cop. If this never happens, the robber wins.
The cop number of a graph is the minimum number such that cops can win the game on .
Example
On a tree, the cop number is one. The cop can start anywhere, and at each step move to the unique neighbor that is closer to the robber. Each of the cop's steps reduces the size of the subtree that the robber is confined to, so the game eventually ends.
On a cycle graph of length more than three, the cop number is two. If there is only one cop, the robber can move to a position two steps away from the cop, and always maintain the same distance after each move of the robber. In this way, the robber can evade capture forever. However, if there are two cops, one can stay at one vertex and cause the robber and the other cop to play in the remaining path. If the other cop follows the tree strategy, the robber will eventually lose.
General results
Every graph whose girth is greater than four has cop number at least equal to its minimum degree. It follows that there exist graphs of arbitrarily high cop number.
Henri Meyniel (also known for Meyniel graphs) conjectured in 1985 that every connected -vertex graph has cop number . The Levi graphs (or incidence graphs) of finite projective planes have girth six and minimum degree , so if true this bound would be the best possible.
All graphs have sublinear cop number. One way to prove this is to use subgraphs that are guardable by a single cop: the cop can move to track the robber in such a way that, if the robber ever moves into the subgraph, the cop can immediately capture the robber. Two types of subgraph that are guardable are the closed neighborhood of a single vertex, and a shortest path between any two vertices. The Moore bound in the degree diameter problem implies that at least one of these two kinds of g |
https://en.wikipedia.org/wiki/Gharanij | Gharanij () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Gharanij had a population of 23,009 in the 2004 census.
On 9 December 2017, Gharanij was captured by Syrian Democratic Forces in their Deir ez-Zor campaign. On 21 December 2017, the Islamic State still controlled the town but was once again liberated by the Syrian Democratic Forces in late February.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Al-Ghbrah | Al-Ghbrah () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Ghbrah had a population of 9,748 in the 2004 census. Al-Ghbrah was captured by Syrian Arab Army on 6 December 2017.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Rasm%20al-Abed | Rasm al-Abed () is a Syrian town located in Dayr Hafir District, Aleppo. According to the Syria Central Bureau of Statistics (CBS), Rasm al-Abed had a population of 2,416 in the 2004 census. Rasm al-Abed was captured by Syrian Arab Army on 15 March 2017 from ISIS.
References
Populated places in Dayr Hafir District
Villages in Aleppo Governorate |
https://en.wikipedia.org/wiki/Humaymah%20Kabirah | Humaymah Kabirah () is a Syrian town located in Dayr Hafir District, Aleppo. According to the Syria Central Bureau of Statistics (CBS), Humaymah Kabirah had a population of 4,190 in the 2004 census.
References
Populated places in Dayr Hafir District |
https://en.wikipedia.org/wiki/Al-Shuhayl | Al-Shuhayl () is a Syrian town located in Deir ez-Zor District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Shuhayl had a population of 14,005 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Al-Sayyal | Al-Sayyal () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Sayyal had a population of 14,392 in the 2004 census. Al Sayyal was captured by Syrian Arab Army on 6 December 2017 from ISIS.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Sabikhan | Sabikhan () is a Syrian town located in Mayadin District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Sabikhan had a population of 23,867 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Abu%20Khashab | Abu Khashab () is a Syrian town located in Deir ez-Zor District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Abu Khashab had a population of 9,046 in the 2004 census.
Syrian Civil War
On 27 April 2022, seven people were shot dead and four others were wounded in a massacre committed by Islamic State fighters when they attacked the house of the chief of the relations office of Deir ez-Zor Civil Council in the town.
References
Populated places in Deir ez-Zor Governorate |
https://en.wikipedia.org/wiki/James%20R.%20Thompson%20%28statistician%29 | James Robert Thompson (June 18, 1938 – December 4, 2017) was an American mathematician, statistician, and university professor whose most influential work combined applied mathematics and nonparametric statistics with computing technologies to advance the fields of financial engineering and computational finance, model disease progression, assess problems in public health, and optimize quality control in industrial manufacturing.
Thompson was a longtime faculty member of Rice University in Houston, TX. He joined the university in 1970 as an Associate Professor in the Wiess School of Natural Sciences’ Department of Mathematical Sciences. He became the founding chair of the Department of Statistics in 1987. The department moved to the George R. Brown School of Engineering in 1990. Thompson retired from Rice in 2016 as the Noah Harding Emeritus Professor of Statistics.
During his career, Thompson authored or co-authored 14 books, including his most cited books Models for Investors in Real World Markets, Empirical Model Building: Data, Models, and Reality 2nd ed., and Statistical Process Control for Quality Improvement, co-authored with Jacek Koronacki. Thompson was a principal investigator for the United States Army Research Office (ARO), National Aeronautics and Space Administration (NASA), and the United Nations Industrial Development Organization (UNIDO). From 1991-1993, he directed a team of 12 Polish statisticians to teach statistical process control in the newly-liberated Polish factories after the fall of communism. The training manual and teachings are reflected in the previously mentioned book Statistical Process Control: The Deming Paradigm and Beyond.
Thompson and his collaborators are most recently known for the quantitative exploration of the capital asset pricing model (CAPM), and several approaches in exploratory data analysis, which involve looking at data from different angles. These non-parametric approaches to portfolio formulation included the Simugram™, variants of his Max-Median rule and Tukey weightings.
The MaxMedian rule is nonproprietary and was designed for investors who wish to do their own investing on a laptop with the purchase of 20 stocks. Simugram™ is an empirical data-based paradigm for portfolio selection. The algorithm synchronizes the historical performance of stocks in a selection set. The information from Simugram™ is then used to develop a high return, low risk portfolio. US Patent 7,720,738 B2, May 18, 2010. The simulation-based data analysis challenges the Efficient Market Hypothesis (EMH) and the Black-Scholes-Merton option pricing formula, making Thompson an early critic of the hypothesis in financial economics. The research was funded by $10 million NSF grants awarded to Rice University in 2003 and 2008 for Vertical Integration of Research and Education in the Mathematical Sciences (VIGRE).
Thompson was a long-term collaborator who united physicians and medical researchers in the Texas Medical Center |
https://en.wikipedia.org/wiki/Abdul%20Sattar%20Abdul%20Razzak | Abdul Sattar Abdul Razzak (born 1932) is an Iraqi triple jumper and long jumper. He competed in the 1960 Summer Olympics.
1960 Summer Olympic Statistics
References
External links
1932 births
Living people
Athletes (track and field) at the 1960 Summer Olympics
Iraqi male athletes
Olympic athletes for Iraq
Sportspeople from Baghdad |
https://en.wikipedia.org/wiki/Marino%20Pannelli | Marino Pannelli (16 November 1855, Macerata – 16 April 1934, Macerata) was an Italian mathematician, specializing in algebraic geometry.
Education and career
After receiving his laurea from the Sapienza University of Rome, Pannelli became at the University of Pavia a libero docente of projective geometry and from 1893 to 1899 a libero docente of descriptive geometry. Later he taught at the Istituto Tecnico di Roma and held academic positions there. Francesco Severi stated that Pannelli was one of the best of those Italian algebraic geometers who were not appointed to a professorial chair. Some of Pannelli's publications in algebraic geometry received the ministerial prize of the Accademia dei Lincei.
In 1908 he was an Invited Speaker of the ICM in Rome.
Selected publications
"Sulla costruzione della superficie del 3. o ordine individuata da 19 punti." Annali di Matematica Pura ed Applicata (1867–1897) 22, no. 1 (1894): 237–260.
"Sulla riduzione delle singolarità di una superficie algebrica per mezzo di trasformazioni birazionali dello spazio." Annali di Matematica Pura ed Applicata (1867–1897) 25, no. 1 (1897): 67–138.
"Sui sistemi lineari triplamente infiniti di curve tracciati sopra una superficie algebrica." Rendiconti del Circolo Matematico di Palermo (1884–1940) 20, no. 1 (1905): 34–48.
"Sulle reti di superficie algebriche." Rendiconti del Circolo Matematico di Palermo (1884–1940) 20, no. 1 (1905): 160–172.
"Sopra un carattere di una varieté algebrica a tre dimensioni." Rendiconti del Circolo Matematico di Palermo (1884–1940) 32, no. 1 (1911): 1–47.
"Sul numero delle superficie di un fascio dotate di un punto doppio." Rendiconti del Circolo Matematico di Palermo (1884–1940) 36, no. 1 (1913): 345–367.
References
19th-century Italian mathematicians
20th-century Italian mathematicians
Sapienza University of Rome alumni
Academic staff of the University of Pavia
1855 births
1934 deaths |
https://en.wikipedia.org/wiki/Al-Ramadi%2C%20Deir%20ez-Zor%20Governorate | Al-Ramadi () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Ramadi had a population of 3,593 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Al-Qitaa | Al-Qitaa (), also known as Al-Majawdeh (), is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Al-Qitaa had a population of 8,251 in the 2004 census.
References
Populated places in Abu Kamal District
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Hasrat%2C%20Syria | Hasrat () is a Syrian town located in Abu Kamal District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Hasrat had a population of 6,306 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Dablan | Dablan () is a Syrian town located in Mayadin District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Dablan had a population of 6,149 in the 2004 census.
References
Populated places in Deir ez-Zor Governorate
Populated places on the Euphrates River |
https://en.wikipedia.org/wiki/Graph%20polynomial | In mathematics, a graph polynomial is a graph invariant whose values are polynomials. Invariants of this type are studied in algebraic graph theory.
Important graph polynomials include:
The characteristic polynomial, based on the graph's adjacency matrix.
The chromatic polynomial, a polynomial whose values at integer arguments give the number of colorings of the graph with that many colors.
The dichromatic polynomial, a 2-variable generalization of the chromatic polynomial
The flow polynomial, a polynomial whose values at integer arguments give the number of nowhere-zero flows with integer flow amounts modulo the argument.
The (inverse of the) Ihara zeta function, defined as a product of binomial terms corresponding to certain closed walks in a graph.
The Martin polynomial, used by Pierre Martin to study Euler tours
The matching polynomials, several different polynomials defined as the generating function of the matchings of a graph.
The reliability polynomial, a polynomial that describes the probability of remaining connected after independent edge failures
The Tutte polynomial, a polynomial in two variables that can be defined (after a small change of variables) as the generating function of the numbers of connected components of induced subgraphs of the given graph, parameterized by the number of vertices in the subgraph.
See also
Knot polynomial
References
Polynomials
Graph invariants |
https://en.wikipedia.org/wiki/Jo%20Ellis-Monaghan | Joanna Anthony Ellis-Monaghan is an American mathematician and mathematics educator whose research interests include graph polynomials and topological graph theory. She is a professor of mathematics at the Korteweg-de Vries Institute for Mathematics of the University of Amsterdam.
Education and career
Ellis-Monaghan grew up in Alaska. She graduated from Bennington College in 1984 with a double major in mathematics and studio art, and earned a master's degree in mathematics from the University of Vermont in 1986. After beginning a doctoral program at Dartmouth College, she transferred to the University of North Carolina at Chapel Hill, where she completed her Ph.D. in 1995. Her dissertation, supervised by Jim Stasheff, was A unique, universal graph polynomial and its Hopf algebraic properties, with applications to the Martin polynomial.
She joined the Saint Michael's College faculty in 1992, chaired the department there, and has also held positions at the University of Vermont. In 2020 she became professor of Discrete Mathematics at the University of Amsterdam.
Contributions
With Iain Moffat, Ellis-Monaghan is the author of the book Graphs on Surfaces: Dualities, Polynomials, and Knots (Springer, 2013).
From 2010-2020, she served as Editor-in-Chief of PRIMUS, a journal on the teaching of undergraduate mathematics.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Graph theorists
Mathematics educators
Bennington College alumni
University of Vermont alumni
University of North Carolina at Chapel Hill alumni
Saint Michael's College faculty
University of Vermont faculty
Academic staff of the University of Amsterdam
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Wolf%20Run%20%28Tohickon%20Creek%20tributary%29 | Deep Run is a tributary of the Tohickon Creek in Bedminster Township, Bucks County, Pennsylvania in the United States.
Statistics
Wolf Run lies entirely within Bedminster Township. Its GNIS identification number is 1191669, its Pennsylvania Department of Environmental Resources identification number is 03141. Its length is , its watershed is , rising at an elevation of . It reaches its confluence at the Tohickon Creek's 7.90 river mile, at an elevation of , only about downstream of where Mink Run and Deer Run reach the Tohickon. The average slope is
Course
Wolf Run rises in Bedminster Township north of Pennsylvania Route 113 (Bedminster Road) near the village of Bedminster and is northeast oriented in a relatively straight course to the Tohickon Creek.
Geology
Appalachian Highlands Division
Piedmont Province
Gettysburg-Newark Lowland Section
Brunswick Formation
Wolf Run lies within the Brunswick Formation in the Newark Basin laid down during the Jurassic and the Triassic. Rocks includes mudstone, siltstone, and reddish-brown, green, and brown shale. Mineralogy includes red and dark-gray argillite and hornfels.
Crossings and Bridges
Rolling Hills Road
Haas Court
Creamery Road
See also
List of rivers of the United States
List of rivers of Pennsylvania
List of Delaware River tributaries
References
Rivers of Pennsylvania
Rivers of Bucks County, Pennsylvania
Tributaries of Tohickon Creek |
https://en.wikipedia.org/wiki/Edgar%20Sanderson%20%28footballer%29 | Edgar Sanderson (16 March 1874 – after 1898) was an English footballer who played for Jarrow, Notts County and Stoke.
Career statistics
Source:
References
English men's footballers
Jarrow F.C. players
Notts County F.C. players
Stoke City F.C. players
English Football League players
Year of death missing
1874 births
Men's association football fullbacks
People from East Lindsey District
Footballers from Lincolnshire |
https://en.wikipedia.org/wiki/Kabani%2C%20Syria | Kabani or Kabanah () is a Syrian town in the Al-Haffah District in Latakia Governorate. According to the Syria Central Bureau of Statistics (CBS), Kabani had a population of 902 in the 2004 census.
During the Syrian Civil War
In 2016, Kabani was under the control of the Free Syrian Army's 1st Coastal Division. It witnessed over a dozen consecutive military attacks (2015–16 Latakia offensive and 2016 Latakia offensive) to control it by the Syrian Army, since it is one of the highest points in Jabal al-Akrad, that overlooks the Al-Ghab Plains, and from where the rebels still had the ability to shell government strongholds like Qardaha. Despite numerous attempts by the Syrian army to take the city, rebels have succeeded in countering every Syrian army attack, until the latest offensive from 31 May 2020.
In January 2016 at the very latest Kabani became a jihadi stronghold after the fall of Salma to the Syrian Army. From 2017 on, the town was under the control of the Salafi jihadist groups Hay'at Tahrir al-Sham and the Turkistan Islamic Party. On May 19, 2019, these groups alleged that the Syrian government had released chlorine gas on their fighting forces in the town. According to them, four militants were wounded and taken to a hospital in the nearby rebel stronghold of Jisr al-Shughur, where they were treated.
In February 2021, the jihadis were subjected to air strikes that were not reported in western media.
References
Populated places in al-Haffah District
Towns in Syria |
https://en.wikipedia.org/wiki/Fabio%20Conforto | Fabio Conforto (13 August 1909 – 24 February 1954) was an Italian mathematician. His contributed to the fields of algebraic geometry, projective geometry and analytic geometry.
References
External links
1909 births
1954 deaths
20th-century Italian mathematicians
Sapienza University of Rome alumni |
https://en.wikipedia.org/wiki/Ugo%20Amaldi%20%28mathematician%29 | Ugo Amaldi (18 April 1875 – 11 November 1957) was an Italian mathematician. He contributed to the field of analytic geometry and worked on Lie groups. His son Edoardo was a physicist.
Biography
He graduated in mathematics (21 November 1898) at the University of Bologna under the guidance of S. Pincherle. He taught at the University of Cagliari (1903-1905), Modena (1905-1919), Padova (1919-1924), Roma (1924-1950).
Notes
External links
1875 births
1954 deaths
20th-century Italian mathematicians
University of Bologna alumni
Members of the Pontifical Academy of Sciences
Scientists from Verona |
https://en.wikipedia.org/wiki/Andr%C3%A9%20G%C3%A9rardin | André Gérardin (1879, Nancy, Meurthe-et-Moselle – 1953, Nancy, Meurthe-et-Moselle) was a French mathematician, specializing in number theory and calculating machines used in factoring large positive integers, finding primes, and calculating quadratic residues modulo a given positive integer.
Gérardin became a member of the Société Mathématique de France in 1906. He wrote many articles for L'Enseignement Mathématique, Nouvelles Annales de Mathématiques, and other French mathematical journals, as well as a few articles for foreign mathematical journals. He was one of nine mathematicians who read the initial page proofs and suggested improvements for the first volume of Leonard E. Dickson's History of the Theory of Numbers. In that volume, Dickson and Gérardin announced for the first time that the Mersenne number M173 has the factor 730753.
Gérardin was an Invited Speaker of the ICM in 1912 at Cambridge UK, in 1920 at Strasbourg, in 1928 at Bologna, and in 1932 at Zürich. He was the founder and editor for many years of the mathematical review Sphinx-Oedipe, started in 1906. In 1944 he, along with Paul Belgodère, started the journal Intermédiarie des Recherches Mathématiques. In 1948 Gérardin started publishing the journal Diophante and continued with it until his death.
In 1949, Paul Belgodère, the director (from 1949 to 1986) of the Institut Henri Poincaré, purchased the important mathematical library that Gérardin had accumulated at Nancy.
References
External links
Gérardin, A. "Note on Finding Prime Numbers." The Mathematical Gazette 7, no. 108 (1913): 192–193.
1879 births
1953 deaths
19th-century French mathematicians
20th-century French mathematicians |
https://en.wikipedia.org/wiki/Deer%20Run%20%28Tohickon%20Creek%20tributary%29 | Deer Run is a tributary of the Tohickon Creek in Bedminster Township, Bucks County, Pennsylvania in the United States.
Statistics
Deer Run is contained wholly within Bedminster Township and is part of the Delaware River watershed. It's GNIS identification number is 1192341, the PA Department of Environmental Resources identification number is 03142. Its watershed is . It meets its confluence at the Tohickon Creek's 8.00 river mile.
Course
Deer Run rises in Bedminster Township about east northeast of Elephant at an elevation of . It is, at first, south southeast oriented for about where it picks up an unnamed tributary from the south, and it turns and flows generally northeast for about where it receives an unnamed tributary on the left, then continues for another where it shares its confluence with Mink Run at the Tohickon Creek at an elevation of , resulting in an average slope of . Its mouth is only about upstream from Wolf Run.
Geology
Appalachian Highlands Division
Piedmont Province
Gettysburg-Newark Lowland Section
Brunswick Formation
Wolf Run lies within the Brunswick Formation in the Newark Basin laid down during the Jurassic and the Triassic. Rocks includes mudstone, siltstone, and reddish-brown, green, and brown shale. Mineralogy includes red and dark-gray argillite and hornfels.
Crossings and Bridges
Deer Run Road
Rolling Hills Road
Creamery Road
Fretz Valley Road
Center School Road
Center School Road
Sweetbriar Road
See also
List of rivers of Pennsylvania
References
Rivers of Pennsylvania
Rivers of Bucks County, Pennsylvania
Tributaries of Tohickon Creek |
https://en.wikipedia.org/wiki/Richard%20Nickl | Richard Nickl (born 13 June 1980) is an Austrian mathematician and Professor of Mathematical Statistics at the University of Cambridge. He is a fellow of Gonville and Caius College, Cambridge.
He grew up in Vienna, attended secondary school at the Theresianum there (graduating in 1998 with distinction) and obtained his academic degrees from the University of Vienna, including a PhD in 2005. He has made contributions to various areas of mathematical statistics; including non-parametric and high-dimensional statistics, empirical process theory, and Bayesian inference for statistical inverse problems and partial differential equations. Jointly with Evarist Giné, he is the author of the book `Mathematical foundations of infinite-dimensional statistical models', published with Cambridge University Press, which won the 2017 PROSE Award for best monograph in the mathematics category. He was an invited speaker at the 2022 International Congress of Mathematicians (ICM) and at the 8th European Congress of Mathematics (ECM). He has been awarded the 2017 Ethel Newbold Prize of the Bernoulli Society as well as a Consolidator Grant and an Advanced Grant by the European Research Council.
Selected publications
Evarist Giné & Richard Nickl, Mathematical foundations of infinite-dimensional statistical models, Cambridge University Press (2016)
Richard Nickl, Bayesian non-linear statistical inverse problems, European Mathematical Society Press (2023)
References
Austrian mathematicians
1980 births
Living people
Cambridge mathematicians
University of Vienna alumni
Mathematical statisticians |
https://en.wikipedia.org/wiki/2001%E2%80%9302%20FK%20Partizan%20season | The 2001–02 season was FK Partizan's 10th season in First League of Serbia and Montenegro. This article shows player statistics and all matches (official and friendly) that the club played during the 2001–02 season.
Players
Squad information
Radovan Radaković
Vuk Rašović
Dragoljub Jeremić
Igor Duljaj
Dejan Ognjanović
Milan Stojanoski
Goran Trobok
Andrija Delibašić
Zvonimir Vukić
Damir Čakar
Miladin Bečanović
Radiša Ilić
Nenad Mišković
Ivan Stanković
Aleksandar Nedović
Ivica Iliev
Vladimir Ivić
Ajazdin Nuhi
Saša Ilić
Dejan Rusmir
Branko Savić
Branimir Bajić
Ljubiša Ranković
Milan Milijaš
Milivoje Ćirković
Danko Lazović
Đorđe Pantić
Competitions
First League of FR Yugoslavia
League table
FR Yugoslavia Cup
UEFA Cup
Qualifying round
First round
See also
List of FK Partizan seasons
Partizanopedia 2001-2002 (in Serbian)
References
External links
FK Partizan seasons
Partizan
Serbian football championship-winning seasons |
https://en.wikipedia.org/wiki/1982%E2%80%9383%20FK%20Partizan%20season | The 1982–83 season was the 37th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1982–83 season.
Players
Squad information
Friendlies
Belgrade tournament
Winner:FK Partizan
Titograd tournament
Winner:Partizan
Skoplje tournament
2nd place:Partizan
Friendly game
Competitions
Yugoslav First League
Matches
Yugoslav Cup
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1982-83 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/Nemanja%20An%C4%91u%C5%A1i%C4%87 | Nemanja Anđušić (born 17 October 1996) is a Bosnian professional footballer who plays as a midfielder for Bosnian Premier League club Sarajevo.
Career statistics
Club
Honours
Sarajevo
Bosnian Premier League: 2014–15
Velež Mostar
Bosnian Cup: 2021–22
References
External links
Nemanja Anđušić at Sofascore
1996 births
Living people
Sportspeople from Trebinje
Men's association football midfielders
Bosnia and Herzegovina men's footballers
Bosnia and Herzegovina men's youth international footballers
Bosnia and Herzegovina men's under-21 international footballers
FK Leotar players
FK Sarajevo players
NK Travnik players
FK Olimpik players
NK Čelik Zenica players
FK Mladost Doboj Kakanj players
Trabzonspor footballers
Balıkesirspor footballers
FK Velež Mostar players
Premier League of Bosnia and Herzegovina players
TFF First League players
Bosnia and Herzegovina expatriate men's footballers
Expatriate men's footballers in Turkey
Bosnia and Herzegovina expatriate sportspeople in Turkey |
https://en.wikipedia.org/wiki/Philipp%20Plank | Philipp Plank (born 11 June 1995) is an Austrian footballer currently playing as a midfielder for Kapfenberger SV of the Erste Liga.
Career statistics
Club
Notes
|2019 ISL
References
1995 births
Living people
Austrian men's footballers
Austria men's youth international footballers
Men's association football midfielders
2. Liga (Austria) players
SK Rapid Wien players
SC Ritzing players
Kapfenberger SV players
People from Scheibbs District
Austrian Regionalliga players
Footballers from Lower Austria |
https://en.wikipedia.org/wiki/1988%E2%80%9389%20FK%20Partizan%20season | The 1988–89 season was the 43rd season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1988–89 season.
Friendlies
Players
Squad information
Competitions
Yugoslav First League
Yugoslav Cup
UEFA Cup
First round
Second round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1988-89 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Kate%20Smith-Miles | Kate Amanda Smith-Miles is an Australian applied mathematician, known for her research on neural networks and combinatorial optimization. She is a Melbourne Laureate Professor of applied mathematics at the University of Melbourne, and a former president of the Australian Mathematical Society.
Education and career
Smith-Miles earned a bachelor's degree in mathematics at the University of Melbourne. There, she did honours research on chaos theory under the mentorship of Colin J. Thompson, and initially planned to continue in graduate study in mathematics, but instead earned her Ph.D. in electrical engineering at Melbourne, working with Marimuthu Palaniswami and with Mohan Krishnamoorthy at CSIRO.
She worked as a professor of information technology in the School of Business Systems at Monash University from 1996 to 2006, as a professor of information technology and head of the school of engineering at Deakin University from 2006 to 2009, and as a professor of applied mathematics at Monash University from 2009 to 2017 and head of the school of mathematical sciences at Monash from 2009 to 2014. In 2017 she took her present position at Melbourne.
Recognition
Smith-Miles is a Fellow of the Institute of Engineers Australia (elected 2006), and of the Australian Mathematical Society (elected 2008). She is the 2010 winner of the Australian Mathematical Society Medal and the 2017 winner of the E. O. Tuck Medal of ANZIAM (Australia and New Zealand Industrial and Applied Mathematics).
In 2014 the Australian Research Council awarded the Georgina Sweet Australian Laureate Fellowship to her. She was elected a Fellow of the Australian Academy of Science in 2022.
References
External links
Year of birth missing (living people)
Living people
Australian women mathematicians
University of Melbourne alumni
Academic staff of Monash University
Academic staff of Deakin University
Academic staff of the University of Melbourne
Australian women academics
21st-century Australian mathematicians
Fellows of the Australian Academy of Science |
https://en.wikipedia.org/wiki/Johannes%20Finsterbusch | Johannes F. Finsterbusch (1 June 1855, Colditz – 1921) was a German mathematician, known for his work on projective geometry.
Finsterbusch studied from 1873 to 1880 at Dresden and Leipzig. From 1882 to 1900 he taught as a schoolmaster (Oberlehrer) at the Realschule in Werdau. From 1900 he taught as a professor (Gymnasialprofessor) at the Gymnasium in Zwickau. He was an Invited Speaker of the ICM in 1904 at Heidelberg, in 1908 at Rome, and in 1912 at Cambridge UK.
In 1889 he married Marie Emma Sophie Gräszer; the marriage produced five children.
References
1855 births
1921 deaths
People from Colditz
People from the Kingdom of Saxony
19th-century German mathematicians
20th-century German mathematicians
Mathematicians from the German Empire |
https://en.wikipedia.org/wiki/Loubignac%20iteration | In applied mathematics, Loubignac iteration is an iterative method in finite element methods. It gives continuous stress field. It is named after Gilles Loubignac, who published the method in 1977.
References
Loubignac's paper
Continuum mechanics
Finite element method
Numerical differential equations
Partial differential equations
Structural analysis |
https://en.wikipedia.org/wiki/Mink%20Run%20%28Tohickon%20Creek%20tributary%29 | Mink Run (Rabbit Run) is a tributary of the Tohickon Creek in Bedminster Township, Bucks County, Pennsylvania in the United States.
Statistics
Mink Run rises just east of Fairview Road in Bedminster Township and is part of the Delaware River watershed. Its GNIS identification number is 1181342 and was entered into the GNIS system on 2 August 1797, its Pennsylvania Department of Environmental Resources identification number is 03145, has a watershed of , and it meets its confluence at the Tohickon Creek's 8.01 river mile.
Course
Mink Run begins about southeast of Lake Nockamixon at an elevation of and runs about where it turns south-southeast and picks up two tributaries, one on either side, after flowing another mile it shares its mouth with Deer Run at an elevation of . Its average slope is Wolf Run meets the Tohickon only a couple hundred feet downstream of Mink Run's confluence.
Geology
Appalachian Highlands Division
Piedmont Province
Gettysburg-Newark Lowland Section
Brunswick Formation
Wolf Run lies within the Brunswick Formation in the Newark Basin laid down during the Jurassic and the Triassic. Rocks includes mudstone, siltstone, and reddish-brown, green, and brown shale. Mineralogy includes red and dark-gray argillite and hornfels.
Crossings and Bridges
Farm School Road
Deer Run Road
Fretz Valley Road
Sweetbriar Road
See also
List of rivers of Pennsylvania
References
Rivers of Pennsylvania
Rivers of Bucks County, Pennsylvania
Tributaries of Tohickon Creek |
https://en.wikipedia.org/wiki/Science%20and%20technology%20of%20the%20Yuan%20dynasty | During the Yuan dynasty (1271–1368) of China, many scientific and technological advancements were made in areas such as mathematics, medicine, printing technology, and gunpowder warfare.
Mathematics
Advances in polynomial algebra were made by mathematicians during the Yuan era. The mathematician Zhu Shijie (1249–1314) solved simultaneous equations with up to four unknowns using a rectangular array of coefficients, equivalent to modern matrices. Zhu used a method of elimination to reduce the simultaneous equations to a single equation with only one unknown. His method is described in the Jade Mirror of the Four Unknowns, written in 1303. The opening pages contain a diagram of Pascal's triangle. The summation of a finite arithmetic series is also covered in the book.
Guo Shoujing applied mathematics to the construction of calendars. He was one of the first mathematicians in China to work on spherical trigonometry. Gou derived a cubic interpolation formula for his astronomical calculations. His calendar, the Shoushi Li (授時暦) or Calendar for Fixing the Seasons, was disseminated in 1281 as the official calendar of the Yuan dynasty. The calendar may have been influenced solely by the work of Song dynasty astronomer Shen Kuo or possibly by the work of Arab astronomers. There are no explicit signs of Muslim influences in the Shoushi calendar, but Yuan emperors were known to be interested in Muslim calendars. Mathematical knowledge from the Middle East was introduced to China, and Muslim astronomers brought Arabic numerals to China in the 13th century.
Medicine
The physicians of the Yuan imperial court came from diverse cultures. Healers were divided into non-Mongol physicians called otachi and traditional Mongol shamans. The Mongols characterized otachi doctors by their use of herbal remedies, which was distinguished from the spiritual cures of Mongol shamanism. Physicians received official support from the Yuan government and were given special legal privileges. Kublai (Emperor Shizu) created the Imperial Academy of Medicine to manage medical treatises and the education of new doctors. Confucian scholars were attracted to the medical profession because it ensured a high income and medical ethics were compatible with Confucian virtues.
The Chinese medical tradition of the Yuan dynasty consisted of "Four Great Schools" that were inherited from the Jin dynasty. All four schools were based on the same intellectual foundation, but advocated different theoretical approaches toward medicine. Under the Mongols, the practice of Chinese medicine spread to other parts of the empire. Ethnic Han physicians were brought along military campaigns by the Mongols as they expanded towards the west. Chinese medical techniques such as acupuncture, moxibustion, pulse diagnosis, and various herbal drugs and elixirs were transmitted westward to the Middle East and the rest of the empire. Several medical advances were made in the Yuan period. The physician Wei Yilin ( |
https://en.wikipedia.org/wiki/Alireza%20Mashaghi | Alireza Mashaghi is a physician-scientist and biophysicist at Leiden University. He is known for his contributions to single-molecule analysis of chaperone assisted protein folding, molecular topology and medical systems biophysics and bioengineering. He is a leading advocate for interdisciplinary research and education in medicine and pharmaceutical sciences.
Mashaghi made the first observation of direct chaperone involvement during folding of a protein, using a single molecule force spectroscopy method. This work which has been published in Nature solved a long-standing puzzle in biology. In 2017, he reported a new model for chaperone DnaK function and made a discovery that, according to Ans Hekkenberg, "overturns the decades-old textbook model of action for a protein that is central for many processes in living cells". He and his co-workers found that chaperone DnaK can recognise natively folded protein parts and thereby promotes protein folding directly. Inspired by single-molecule analysis of biopolymers, Mashaghi and his team developed a topology framework, termed as circuit topology, which enabled studying folded molecular chains, beyond what knot theory can offer. The approach allows for topological barcoding of proteins and cellular genomes for medical applications.
Mashaghi also contributed to others areas in biophysics and bioengineering including membrane biophysics, membrane based lab-on-a-chip biosensing, and organ-on-a-chip technology. In particular, the Mashaghi team was one of the first to introduce Organ Chip technology to the field of virology. His team engineered the first chip-based disease model for Ebola hemorrhagic shock syndrome, and later extended the applicability of the platform to various viral haemorrhagic syndromes. Ebola and similar viruses pathologically alter the mechanics of human cells, which is recapitulated in organ chip models. Moreover, the Mashaghi team developed optical tweezers and acoustic force spectroscopy based assays to probe such mechanical alterations at the single cell level.
Mashaghi is also active in interdisciplinary research in ophthalmology, immunopathology and medicine. His main contributions were in the areas of ocular inflammation and immunomodulation. In 2017, he and his co-workers at Harvard developed an immunotherapy strategy to improve survival of high-risk cornea grafts. Together with his co-workers, he contributed to the use of stem cell technology and omics technology in ophthalmology and medicine. Mashaghi and his co-workers were among the first to use stem cells to reprogram innate immune cells, including neutrophil and macrophages. Additionally, his lab was the first to measure human macrophage mechanics and metabolome using single-cell approaches. Finally, in their research, Mashaghi and his co-workers are linking statistical physics and medical diagnostics; this unprecedented link between physics and medicine may allow for early and efficient diagnosis of certain disea |
https://en.wikipedia.org/wiki/Theory%20of%20Probability%20and%20Mathematical%20Statistics | Theory of Probability and Mathematical Statistics is a peer-reviewed international scientific journal published by Taras Shevchenko National University of Kyiv jointly with the American Mathematical Society two times per year in both print and electronic formats. The subjects covered by the journal are probability theory, mathematical statistics, random processes and fields, statistics of random processes and fields, random operators, stochastic differential equations, stochastic analysis, queuing theory, reliability theory, risk processes, financial and actuarial mathematics. The editor-in-chief is Yuliya Mishura (Ukraine).
Abstracting and indexing
The journal is abstracted and indexed in the Emerging Sources Citation Index, Mathematical Reviews, Scopus, and Zentralblatt MATH.
Editorial Board
Yu. Mishura (Editor-in-Chief) (Ukraine)
M. Leonenko (Deputy Editor-in-Chief) (United Kingdom)
K. Ralchenko (Managing Editor) (Ukraine)
V. Anisimov (United Kingdom), A. Ayache (France), T. Bodnar (Sweden), M. Dozzi (France), M. Grothaus (Germany), A. Iksanov (Ukraine), A. Ivanov (Ukraine), R. Maiboroda (Ukraine), A. Malyarenko (Sweden), A. Marynych (Ukraine), L. Mattner (Germany), I. K. Matsak (Ukraine), I. Molchanov (Switzerland), A. Novikov (Australia), O. Okhrin (Germany), A. Olenko (Australia), E. Orsingher (Italy), F. Polito (Italy), D. Silvestrov (Sweden), G. Shevchenko (Ukraine), A. Swishchuk (Canada), A. Volodin (Canada), O. Zakusylo (Ukraine)
References
External links
(Taras Shevchenko National University of Kyiv)
(American Mathematical Society)
Statistics journals
Probability journals
English-language journals
Academic journals established in 2004
Biannual journals
American Mathematical Society academic journals |
https://en.wikipedia.org/wiki/2000%E2%80%9301%20FK%20Partizan%20season | The 2000–01 season was FK Partizan's 9th season in First League of Serbia and Montenegro. This article shows player statistics and all matches (official and friendly) that the club played during the 2000–01 season.
Players
Squad information
Competitions
First League of FR Yugoslavia
League table
FR Yugoslavia Cup
UEFA Cup
Qualifying round
First round
See also
List of FK Partizan seasons
Partizanopedia 2000-2001 (in Serbian)
References
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Henry%20Heaton | Henry Heaton (or Henry C Heaton) (1846–1927) was a North-American amateur mathematician who contributed problems and solutions to the then-new journals The Analyst (now Annals of Mathematics) and The American Mathematical Monthly. The Annals eventually became a leading research journal and the Monthly famous for its problems section.
Life and work
Heaton was a son of a millwright. In 1852 the family moved to Greenfields, Pennsylvania, where Heaton attended the school four months every winter until he was fourteen years old. At the age of eighteen, he began his two careers, as a carpenter and as a teacher. He studied also for his BS in the Mount Union College in Ohio in the course 1866–1867. In 1869 he moved to Taylor, Iowa. After, he moved to Des Moines, Iowa where he met Joel E. Hendricks, the founder and editor of The Analyst who encouraged him to publish mathematical problems and solutions in the journal. In 1877 he and his family were living in Sabula, Iowa; in 1879 in Atlantic, Iowa; in 1881 in Lewis, Iowa; in 1906 in Belfield, North Dakota; and, finally, he died in Biddle, Montana in 1927
From 1874 to 1918, Heaton published about one hundred solutions to mathematical problems in The Analyst and in The American Mathematical Monthly.
References
Bibliography
External links
19th-century American mathematicians
20th-century American mathematicians
1846 births
1927 deaths |
https://en.wikipedia.org/wiki/Bibhutibhushan | Bibhutibhushan is a common given name of Bengali origin.
It may refer to:
Bibhutibhushan Datta (1888–1958), Bengali-Indian historian of Indian mathematics
Bibhutibhushan Bandyopadhyay (1894–1950), Bengali-Indian writer
Bibhutibhushan Mukhopadhyay (1894–1987), Bengali-Indian writer |
https://en.wikipedia.org/wiki/Asliddin%20Khabibullaev | Asliddin Khabibullaev (born 5 March 1971) is a former Tajikistan international goalkeeper player for Tajikistan, and current manager of FC Khatlon.
Career statistics
International
Statistics accurate as of match played 2 July 2006
Honours
Team
Varzob Dushanbe
Tajikistan Higher League (1): 1999
Tajikistan Cup (1): 1999
Vahsh Qurghonteppa
Tajikistan Higher League (1): 2005
Tajikistan Cup (1): 2003
Individual
Tajik Player of the year (1): 2003
References
1971 births
Living people
Tajikistani men's footballers
Tajikistan men's international footballers
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Max%20Noether%27s%20theorem%20on%20curves | In algebraic geometry, Max Noether's theorem on curves is a theorem about curves lying on algebraic surfaces, which are hypersurfaces in P3, or more generally complete intersections. It states that, for degree at least four for hypersurfaces, the generic such surface has no curve on it apart from the hyperplane section. In more modern language, the Picard group is infinite cyclic, other than for a short list of degrees. This is now often called the Noether-Lefschetz theorem.
Algebraic geometry |
https://en.wikipedia.org/wiki/Senad%20Hysenaj | Senad Hysenaj (born 17 October 1999) is an Albanian professional footballer who plays as a left-back.
Career statistics
Club
References
1999 births
Living people
Footballers from Shkodër
Albanian men's footballers
Men's association football midfielders
Albania men's youth international footballers
KF Vllaznia Shkodër players
FK Partizani Tirana players
KF Besa Kavajë players
Kategoria e Dytë players
Kategoria e Parë players |
https://en.wikipedia.org/wiki/Louis%20Lazarus%20Silverman | Louis Lazarus Silverman (21 April 1884 – 17 October 1967) was an American mathematician, the first person to receive a Ph.D. in mathematics from an academic institution in the state of Missouri.
Born in a village in Lithuania, Silverman moved with his parents to the United States when he was eight years old. He received his B.A. and M.A. in mathematics from Harvard University and then his Ph.D. from the University of Missouri in 1910. From 1910 to 1918 he was a faculty member in the department of mathematics at Cornell University, where he worked with Wallie Abraham Hurwitz on divergent series and summability methods. From 1918 to 1953, Silverman was a professor of mathematics at Dartmouth College, where he retired as professor emeritus. He also taught at Tel Aviv University (where he gave lectures in Hebrew), the University of Houston, and South Texas College.
He was an Invited Speaker of the ICM in 1928 in Bologna.
Silverman was an amateur violinist, and his son, Raphael Hillyer Silverman, became a famous viola soloist.
Selected publications
On the definition of the sum of a divergent series. Vol. 1, no. 1. University of Missouri, 1913.
"The equivalence of certain regular transformations." Transactions of the American Mathematical Society 26 (1924): 101–112.
with J. D. Tamarkin: "On the generalization of Abel's theorem for certain definitions of summability." Mathematische Zeitschrift 29, no. 1 (1929): 161–170.
"Products of Nörlund transformations." Bulletin of the American Mathematical Society 43, no. 2 (1937): 95–101.
with Otto Szasz: "On a class of Norlund matrices." Annals of Mathematics (1944): 347–357.
See also
Silverman–Toeplitz theorem
References
1884 births
1967 deaths
Harvard University alumni
University of Missouri alumni
University of Missouri mathematicians
Cornell University faculty
Dartmouth College faculty
20th-century American mathematicians |
https://en.wikipedia.org/wiki/Yermek%20Kuantayev | Yermek Bolatkhanuly Kuantayev (, Ermek Bolathanūly Quantaev; born 13 October 1990) is a Kazakh football player who plays for FC Taraz as a defender, and the Kazakhstan.
Career statistics
Club
International
Statistics accurate as of match played 28 March 2015
References
1990 births
Living people
Kazakhstani men's footballers
Kazakhstan men's international footballers
Kazakhstan Premier League players
FC Tobol players
FC Kairat players
People from Kostanay
Sportspeople from Kostanay Region
Men's association football defenders
FC Zhetysu players
FC Turan players
FC Taraz players |
https://en.wikipedia.org/wiki/John%20Gray%20%28mathematician%29 | John Gray, FRS (died 17 July 1769) was a British mathematician.
As a young man he taught mathematics at Marischal College, later Aberdeen University.
He wrote "A Treatise on Gunnery", dedicated to the Duke of Argyll and published by William Innys (London) in 1731.
In collaboration with Andrew Reid and others, he worked to produce a book of abridged Philosophical Transactions of the Royal Society for 1720–1732; which was published by W. Innys and R. Manby in 1732.
In March 1732 he was elected a Fellow of the Royal Society, his application citation having described him as being of the Navy Office (or Navy Board), who were responsible for the construction and maintenance of ships in the Royal Dockyards for the Royal Navy.
From 1764 to his death he was Rector of Marischal College. He died at his London home in 1769, having asked to be buried at Petersham next to his wife Elizabeth. He left estates in the West Indies to his nephews and to Gray's Inn of London.
References
Date of birth uncertain
1769 deaths
British mathematicians
British writers
Rectors of the University of Aberdeen
Fellows of the Royal Society |
https://en.wikipedia.org/wiki/Polynomial%20mapping | In algebra, a polynomial map or polynomial mapping between vector spaces over an infinite field k is a polynomial in linear functionals with coefficients in k; i.e., it can be written as
where the are linear functionals and the are vectors in W. For example, if , then a polynomial mapping can be expressed as where the are (scalar-valued) polynomial functions on V. (The abstract definition has an advantage that the map is manifestly free of a choice of basis.)
When V, W are finite-dimensional vector spaces and are viewed as algebraic varieties, then a polynomial mapping is precisely a morphism of algebraic varieties.
One fundamental outstanding question regarding polynomial mappings is the Jacobian conjecture, which concerns the sufficiency of a polynomial mapping to be invertible.
See also
Polynomial functor
References
Claudio Procesi (2007) Lie Groups: an approach through invariants and representation, Springer, .
Algebra |
https://en.wikipedia.org/wiki/Opetope | In category theory, a branch of mathematics, an opetope, a portmanteau of "operation" and "polytope", is a shape that captures higher-dimensional substitutions. It was introduced by John C. Baez and James Dolan so that they could define a weak n-category as a certain presheaf on the category of opetopes.
See also
higher-order operad
References
External links
https://ncatlab.org/nlab/show/opetope
Category theory |
https://en.wikipedia.org/wiki/Bouquet%20graph | In mathematics, a bouquet graph , for an integer parameter , is an undirected graph with one vertex and edges, all of which are self-loops. It is the graph-theoretic analogue of the topological bouquet, a space of circles joined at a point. When the context of graph theory is clear, it can be called more simply a bouquet.
Although bouquets have a very simple structure as graphs, they are of some importance in topological graph theory because their graph embeddings can still be non-trivial. In particular, every cellularly embedded graph can be reduced to an embedded bouquet by a partial duality applied to the edges of any spanning tree of the graph, or alternatively by contracting the edges of any spanning tree.
In graph-theoretic approaches to group theory, every Cayley–Serre graph (a variant of Cayley graphs with doubled edges) can be represented as the covering graph of a bouquet.
References
Parametric families of graphs |
https://en.wikipedia.org/wiki/Globular%20set | In category theory, a branch of mathematics, a globular set is a higher-dimensional generalization of a directed graph. Precisely, it is a sequence of sets equipped with pairs of functions such that
(Equivalently, it is a presheaf on the category of “globes”.) The letters "s", "t" stand for "source" and "target" and one imagines consists of directed edges at level n.
A variant of the notion was used by Grothendieck to introduce the notion of an ∞-groupoid. Extending Grothendieck's work, gave a definition of a weak ∞-category in terms of globular sets.
References
Further reading
Dimitri Ara. On the homotopy theory of Grothendieck ∞ -groupoids. J. Pure Appl. Algebra, 217(7):1237–1278, 2013, arXiv:1206.2941 .
External links
https://ncatlab.org/nlab/show/globular+set
Category theory |
https://en.wikipedia.org/wiki/Lu%C3%ADs%20Barreira | Luís Barreira (born 25 September 1968) is a Portuguese mathematician and a professor in the department of mathematics of Instituto Superior Técnico.
He is the author or coauthor of 13 books, many with Clàudia Valls, including among them Análise Complexa e Equações Diferenciais, Exercícios de Análise Complexa e Equações Diferenciais, Lyapunov Exponents and Smooth Ergodic Theory, Nonuniform Hyperbolicity, Stability of Nonautonomous Differential Equations, and Dimension and Recurrence in Hyperbolic Dynamics. He's also the author of several scientific articles, predominantly in Differential Equations, Dynamic Systems, Ergodic Theory and Multifractal Analysis.
Education
Barreira got his degree in 1991 in Applied Mathematics and Computation, from Instituto Superior Técnico.
He got his PhD in 1996 at the University of Pennsylvania.
Awards
Among his awards are:
Prémio Gulbenkian Ciência, in 2007;
Prémio Científico UTL/Santander Totta em Matemática, in 2007;
Prémio Internacional Ferran Sunyer i Balaguer, in 2008;
References
20th-century Portuguese mathematicians
University of Pennsylvania alumni
1968 births
Living people
Instituto Superior Técnico alumni
21st-century Portuguese mathematicians |
https://en.wikipedia.org/wiki/Giulio%20Pittarelli | Giulio Pittarelli (3 February 1852, Campochiaro, Campobasso – 2 March 1934, Rome) was an Italian mathematician, specializing in descriptive geometry and algebraic geometry.
Pittarelli received from the University of Naples his laurea in mathematics in 1874 and in engineering in 1876. For many years he was a professor of descriptive geometry at the Sapienza University of Rome. In addition to his mathematical career, he was a painter, an excellent pianist, and an author, who wrote a biography of Luigi Cremona.
Pittarelli was an invited speaker of the International Congress of Mathematicians in 1908 in Rome.
Selected publications
"Sul significato geometrico delle ueberschiebungen nelle forme binarie." Giornale di Matematiche di Battaglini 17 (1879): 160–171.
"Intorno ad un problema die eliminazione nella teoria analitica della cubica gobba." Giornale di Matematiche di Battaglini 17 (1879): 244–259.
"La cubica gobba e le forme binarie quadratiche e cubiche." Giornale di Matematiche di Battaglini 17 (1879): 260–309.
"La lumache di Pascal (Nota I)." Giornale di Matematiche di Battaglini 21 (1883): 145–168.
"La lumache di Pascal (Nota II)." Giornale di Matematiche di Battaglini 21 (1883): 173–212.
"I gruppi continui proiettivi semplicemente infiniti nello spazio ordinario." Annali di Matematica Pura ed Applicata (1867–1897) 22, no. 1 (1894): 261-311.
References
1852 births
1934 deaths
19th-century Italian mathematicians
20th-century Italian mathematicians
University of Naples Federico II alumni
Academic staff of the Sapienza University of Rome |
https://en.wikipedia.org/wiki/Higher-order%20operad | In algebra, a higher-order operad is a higher-dimensional generalization of an operad.
See also
Opetope
References
External links
https://ncatlab.org/nlab/show/(infinity%2C1)-operad
Abstract algebra |
https://en.wikipedia.org/wiki/Ralph%20Kaufmann | Ralph Martin Kaufmann (born August 4, 1969) is a German mathematician working in the United States.
Career
Kaufmann studied mathematics, physics and philosophy at the University of Bonn. He obtained a master's degree in Physics in 1994 under the supervision of Werner Nahm and a master's degree in philosophy under the supervision of Rainer Stuhlmann-Laeisz in 1996. His doctoral studies were carried out at the Max Planck Institute for Mathematics under the supervision of Yuri Manin, and he graduated summa cum laude from University of Bonn in 1997 with a thesis entitled "The geometry of the moduli space of pointed curves, the tensor product in the theory of Frobenius manifolds and the explicit Künneth formula in quantum cohomology".
He remained at the Max Planck Institute for one year after his graduation as a researcher before moving to the Institut des Hautes Études Scientifiques for a year with a Marie Curie Fellowship from the European Union.
In 1999 Kaufmann moved to the United States, where he has held several positions. He arrived at his current institution, Purdue University, in 2007 as an associate professor, being promoted to full professor in 2012.
Kaufmann has been a member of the Institute for Advanced Study in Princeton, and has held visiting positions at the Max Planck Institute for Mathematics in Bonn, the Institut des Hautes Études Scientifiques, the Mittag-Leffler Institute in Stockholm, the Isaac Newton Institute in Cambridge, and the Mathematical Sciences Research Institute in Berkeley, California.
Research
Kaufmann's research has covered different areas of mathematics and theoretical physics. After briefly working on the Virasoro algebra, he started to work on the quantum cohomology of a product and the Künneth formula, obtaining results on explicit formulas and global results. In collaboration with Yuri Manin and Don Zagier he started the study of higher Weil–Peterson volumes, later continued by Losef–Manin and Maryam Mirzakhani. Kaufmann then started to study stringy and mirror phenomena for orbifolds and singularities. This led to the invention of stringy K-theory.
Kaufmann has also worked on string topology, invented by Moira Chas and Dennis Sullivan, and operad theory. Here he first proved a cyclic version of Pierre Deligne's conjecture in deformation theory and provided an extension of string topology to moduli spaces.
More recently Kaufmann has introduced the notion of Feynman categories to give a common framework for various aspects of algebra, geometry, topology, and category theory.
In mathematical physics, he has also studied the geometry of wire networks as well as periodic systems and topological insulators.
In philosophy, he has recently worked on Hegel's theory of mathematics and on Friedrich Hölderlin.
, eight graduate students have obtained their PhD under Kaufmann's supervision.
Honors and awards
Heinrich Hörlein Gedächtnis Preis for his dissertation.
Simons Fellow
Publications (books authore |
https://en.wikipedia.org/wiki/Dimple%20Creek%20%28Tohickon%20Creek%20tributary%29 | Dimple Creek (Kimples Creek) is a tributary of the Tohickon Creek in Haycock Township, Bucks County, Pennsylvania in the United States. It is part of the Delaware River watershed.
Statistics
Dimple Creek's GNIS identification number is 1173286, its Pennsylvania Department of Conservation and Natural Resources identification number is 03174. It has a watershed of , and meets it confluence at Tohickon Creek's 19.90 river mile. Dimple Creek flows through Lake Towhee.
Course
Dimple Creek rises at an elevation of in the northern part of Haycock Township from an unnamed pond west northwest of Little Haycock Mountain. Flowing south, it receives a tributary from the left bank, then flows into Lake Towhee a lake formed by a dam in the creek. From there it flows to the southwest to its confluence with the Tohickon at the Levi Sheard Mill at an elevation of . The stream is , which results in an average slope of 16.45 feet per mile (3.35 meters per kilometer).
Geology
Appalachian Highlands Division
Piedmont Province
Gettysburg-Newark Lowland Section
Diabase
Dimple Creek lies in an intrusion of magma into the local Brunswick Formation in the Newark Lowland section or rock, part of the Piedmont Province of the Appalchian Highlands Division. About 200 million years ago, about the time of the Jurassic and the Triassic, the magma intruded an cooled to form diabase consisting of labradorite and augite, very highly resistant to erosion.
Crossings and Bridges
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of Tohickon Creek |
https://en.wikipedia.org/wiki/NLEX%20Road%20Warriors%20all-time%20roster | The following is a list of players, both past and current, who appeared at least in one game for the NLEX Road Warriors PBA franchise. Statistics are accurate as of the 2023 PBA Governors' Cup.
Players
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || G || align=left|Lebanon || 1 || || 12 || 211 || 29 || 25 || 28 ||
|-
| align=left| || align=left| || C || align=left| || 2 || – || 33 || 578 || 218 || 110 || 21 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 7 || –present || 168 || 4,546 || 2,014 || 683 || 524 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left nowrap| || 1 || || 11 || 425 || 223 || 154 || 22 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || F || align=left| || 3 || ––present || 57 || 1,631 || 744 || 486 || 129 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 26 || 177 || 43 || 39 || 5 ||
|-
| align=left| || align=left| || G/F || align=left| || 2 || – || 36 || 310 || 47 || 55 || 14 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 20 || 157 || 31 || 15 || 9 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 2 || – || 12 || 445 || 299 || 163 || 39 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 16 || 245 || 61 || 31 || 29 ||
|-
| align=left| || align=left| || G/F || align=left| || 3 || – || 68 || 1,065 || 280 || 153 || 126 ||
|-
| align=left| || align=left| || G || align=left| || 1|| || 17 || 109 || 59 || 14 || 2 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 37 || 475 || 141 || 58 || 30 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 57 || 1,058 || 253 || 162 || 32 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 7 || 76 || 23 || 10 || 5 ||
|-
| align=left| || align=left| || F || align=left| || 3 || – || 46 || 413 || 170 || 115 || 21 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 36 || 721 || 291 || 120 || 20 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 50 || 1,066 || 451 || 191 || 61 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 7 || 73 || 12 || 6 || 9 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left nowrap| || F/C || align=left| || 1 || || 11 || 412 || 259 || 159 || 28 ||
|-
| align=left| || align=left| || F/C || align=left| || 2 || 2022, || 33 || 638 || 317 || 162 || 31 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F ||align=left| || 1 || 2022 || 6 || 236 || 149 || 71 || 10 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 13 || 542 || 420 || 207 || 52 ||
|-
| align=left| || align=left| || G || align=left| || 3 || –2022 || 52 || 1,328 || 558 || 184 || 183 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 1 || nowrap|–present || 5 || 44 || 17 || 9 || 3 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 24 || 550 || 150 || 43 || 53 ||
|-
| align= |
https://en.wikipedia.org/wiki/List%20of%20tessellations |
See also
Uniform tiling
Convex uniform honeycombs
List of k-uniform tilings
List of Euclidean uniform tilings
Uniform tilings in hyperbolic plane
Mathematics-related lists |
https://en.wikipedia.org/wiki/Cannabis%20in%20Seychelles | Cannabis in Seychelles is illegal, with cultivation, possession and sale of the substance banned. Regardless of this, the controlled substance has seen continual use within Seychelles, with statistics indicating that more than a quarter of the nation's population are users of the drug, as well as use evident amongst adolescents. The drug is ingested in a variety of forms for medicinal or recreational use.
Recently the fight for legalization of cannabis has included a petition calling for legalisation signed by 5–10% of the nation's population, and a court case ordering the government to allow medical use.
Legislation and policy
Current status
Under the Misuse of Drugs Act, 2016, cannabis and its by-products are an illegal Class B drug. The offences relating to cannabis, as clarified within the include any person who purchases, possesses, or uses the drug, imports or exports the drug, cultivates it, possesses or purchases instruments, utensils or equipment intended to facilitate cultivation, and/or traffics cannabis in any quantity. The legislation states that regarding trafficking, if the person has been convicted of an offence of trafficking more than 1.5kg of cannabis or cannabis resin, the Court shall treat the offence as aggravated in nature.
In terms of evidence and investigation, any individual who has been proven or presumed to possess 25 grams or more of cannabis in any form will be presumed to have intent to traffic the drug. Thus, the individual is liable to be investigated by the relevant legal officers of the Seychelles. The law also provides the ability to a police officer to stop and search an individual suspected of having possession of cannabis without a warrant.
History
The status of cannabis's illegality within the Seychelles initially found its basis in the laws of Mauritius. With the politicians of the time deciding to implement the 1882 legislation enacted within the Mauritius verbatim into the Seychelles legal system. In doing so, when Mauritius re-opened the cannabis trade from the years 1883 up until 1887, there was confusion regarding whether or not these changes in law had applied to the Seychelles.
The most recent change to Seychelles' cannabis laws was the Misuse of Drugs Act, 2016. This legislation was passed by unanimous Assembly vote and replaced an act of 1990. The act sought to give more powers to fight drug trafficking and abuse and to make the investigation of drug-related offences and prosecution easier. The law also placed a substantial emphasis on the need to promote treatment, education, rehabilitation, recovery, and social reintegration of individuals suffering addiction. Other acts were also amended to allow the new act to be enforceable, including the Prisons Act and the Criminal Procedure Code. Minister for Home Affairs Charles Bastienne tabled the bill, and said that it took into account challenges such as the increasing numbers serving drug related prison sentences, which he considered worrying |
https://en.wikipedia.org/wiki/Moritz%20Epple | Moritz Epple (born 7 May 1960, in Stuttgart) is a German mathematician and historian of science.
Biography
Epple studied mathematics, philosophy and physics in Copenhagen, London, and at the University of Tübingen, where he received in 1987 his bachelor's degree (Diplom) in physics and in 1991 his Ph.D. (Promotion) in mathematical physics. He then became an assistant in the history of mathematics and natural sciences at the University of Mainz, where he received in 1998 his Habilitation. From 2001 to 2003 he was the head of the department of history of the natural sciences and technology at the University of Stuttgart. Since 2003 he has been a professor at the Goethe University of Frankfurt and head of the working group for the modern history of science at the historic seminary there. He was a visiting professor at several academic institutions including the Dibner Institute for the History of Science and Technology of Massachusetts Institute of Technology (MIT) and at the Max-Planck-Gesellschaft in Berlin.
His habilitation thesis on the history of knot theory was published in 1999 under the title Die Entstehung der Knotentheorie – Kontexte und Konstruktionen einer modernen mathematischen Theorie (with 2nd edition in 2013). He also wrote the article on knot theory in the book History of Topology edited by Ioan James. He has done research on the history of mathematical analysis, for example the article Geschichte der Grundlagen der Analysis 1860 – 1930 in the 1999 book Geschichte der Analysis edited by Jahnke; Epple wrote on, among other topics, Luitzen Egbertus Jan Brouwer and applied mathematical research in Germany during WW II. His historical research has also dealt with the epistemological works of Felix Hausdorff and Jewish mathematicians in German-speaking academic culture.
From 2000 to 2001 he was a Heisenberg Fellow. He was a board member of the Deutschen Gesellschaft für Geschichte der Medizin, Naturwissenschaft und Technik and a co-editor of NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin. Since 2013 he has been a co-editor of the journal Science in Context. In 2002 at the ICM in Beijing he was an Invited Speaker with talk From Quaternions to cosmology – spaces of constant curvature 1873–1925. In 2015 Epple with his Frankfurt team received the media prize of the Deutsche Mathematiker-Vereinigung for the exhibition "Transcending Tradition". On 26 November 2016, Epple was elected a member of the Deutsche Akademie der Naturforscher Leopoldina.
Selected publications
Die Entstehung der Knotentheorie: Kontexte und Konstruktionen einer modernen mathematischen Theorie. Vieweg Verlag: Wiesbaden, 1999.
Genies, Ideen, Institutionen, mathematische Werkstätten. Formen der Mathematikgeschichte, Mathematische Semesterberichte vol. 47, 2000. pp. 131–163.
Rechnen, Messen, Führen. Kriegsforschung am Kaiser-Wilhelm-Institut für Strömungsforschung, 1937–1945, in: Helmut Maier (ed.): Rüstungsforschung im Nationalsozialismus: |
https://en.wikipedia.org/wiki/1987%E2%80%9388%20FK%20Partizan%20season | The 1987–88 season was the 42nd season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1987–88 season.
Friendlies
Players
Squad information
Competitions
Yugoslav First League
Yugoslav Cup
UEFA Cup
First round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1987-88 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Phoenix%20Super%20LPG%20Fuel%20Masters%20all-time%20roster | The following is a list of players, both past and current, who appeared in at least one game for the Phoenix Super LPG Fuel Masters PBA franchise. Statistics are accurate as of the 2023 PBA Governors' Cup.
Players
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 3 || 11 || 0 || 1 || 0 ||
|-
| align=left| || align=left| || F || align=left| || 3 || – || 44 || 1,284 || 663 || 480 || 167 ||
|-
| bgcolor="#cfecec" align=left|^ || align=left| || F/C || align=left| || 1 || –present || 17 || 70 || 20 || 17 || 5 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 2 || 70 || 31 || 41 || 1 ||
|-
| bgcolor="#cfecec" align=left|^ || align=left| || G || align=left| || 1 || –present || 12 || 114 || 42 || 8 || 5 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 53 || 747 || 320 || 89 || 65 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 19 || 461 || 202 || 121 || 56 ||
|-
| align=left| || align=left| || G/F || align=left| || 2 || – || 40 || 989 || 355 || 124 || 111 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 14 || 430 || 172 || 49 || 58 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 11 || 228 || 104 || 29 || 12 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 39 || 631 || 242 || 127 || 32 ||
|-
| align=left| || align=left| || F/C || align=left| || 1 || || 11 || 164 || 54 || 61 || 4 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F/C || align=left nowrap| || 1 || || 6 || 255 || 209 || 106 || 22 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 13 || 147 || 67 || 16 || 8 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 9 || 67 || 14 || 14 || 2 ||
|-
| bgcolor="#cfecec" align=left|^ || align=left| || F || align=left| || 2 || –present || 32 || 315 || 74 || 86 || 14 ||
|-
| align=left| || align=left| || F/C || align=left| || 2 || – || 23 || 306 || 102 || 82 || 5 ||
|-
| align=left| || align=left| || G/F || align=left| || 2 || – || 26 || 768 || 332 || 107 || 98 ||
|-
| align=left| || align=left| || F/C || align=left| || 4 || –2022 || 109 || 2,155 || 863 || 490 || 77 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 4 || 12 || 0 || 3 || 1 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 12 || 170 || 55 || 15 || 23 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 39 || 436 || 133 || 46 || 32 ||
|-
| align=left| || align=left| || G || align=left| || 1 || 2021–2022 || 23 || 230 || 67 || 67 || 7 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 29 || 175 || 41 || 38 || 17 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 2 || 82 || 34 || 28 || 3 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 26 || 780 || 273 || 57 || 97 ||
|-
| align=left| || align=left nowrap| || F || align=left| || 2 || – || 35 || 365 || 173 || 85 || 13 ||
|
https://en.wikipedia.org/wiki/1986%E2%80%9387%20FK%20Partizan%20season | The 1986–87 season was the 41st season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1986–87 season.
Friendlies
Season overview
The 1986–87 Yugoslav First League title was awarded to FK Partizan, as the 6 points deduction that originally made Vardar Skopje champions, was declared invalid.
Players
Squad information
players (league matches/league goals):
Fahrudin Omerović (34/0) (goalkeeper)
Milko Đurovski (31/19)
Goran Stevanović (31/4)
Admir Smajić (31/3)
Srečko Katanec (30/3)
Vladimir Vermezović (29/1)
Nebojša Vučićević (28/7)
Fadil Vokrri (28/5)
Miodrag Bajović (27/2)
Miloš Đelmaš (26/7)
Bajro Župić (26/0)
Vlado Čapljić (24/1)
Isa Sadriu (18/0)
Goran Bogdanović (17/1)
Aleksandar Đorđević (16/2)
Milinko Pantić (15/3)
Slađan Šćepović (6/0)
Ljubomir Radanović (5/0)
Darko Milanič (4/0)
Miodrag Radović (4/0)
Darko Belojević
Competitions
Yugoslav First League
Matches
Yugoslav Cup
UEFA Cup
First round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1986-87 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/Blackwater%20Bossing%20all-time%20roster | The following is a list of players, both past and current, who appeared in at least one game for the Blackwater Bossing PBA franchise. Statistics are accurate as of the 2023 PBA Governors' Cup.
Players
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 13 || 139 || 33 || 19 || 7 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 22 || 304 || 103 || 44 || 14 ||
|-
| align=left| || align=left| || C || align=left| || 1 || || 3 || 6 || 2 || 0 || 0 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 13 || 115 || 42 || 28 || 9 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 26 || 315 || 135 || 63 || 11 ||
|-
| align=left| || align=left| || C || align=left| || 2 || – || 44 || 595 || 219 || 97 || 12 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 22 || 197 || 47 || 21 || 20 ||
|-
| align=left| || align=left| || F/C || align=left| || 1 || 2022 || 5 || 20 || 7 || 3 || 0 ||
|-
| bgcolor=#cfecec align=left|^ || align=left| || G || align=left| || 2 || –present || 49 || 1,181 || 467 || 102 || 133 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 11 || 210 || 72 || 20 || 27 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 6 || 64 || 7 || 13 || 4 ||
|-
| bgcolor=#cfecec align=left|^ || align=left| || G || align=left| || 2 || 2022–present || 32 || 333 || 156 || 36 || 37 ||
|-
| align=left| || align=left| || C || align=left| || 2 || – || 40 || 628 || 108 || 203 || 18 ||
|-
| align=left| || align=left| || G || align=left| || 1 || 2021–2022 || 7 || 74 || 31 || 17 || 5 ||
|-
| bgcolor=#cfecec align=left|^ || align=left| || F || align=left| || 1 || –present || 22 || 510 || 126 || 57 || 46 ||
|-
| align=left| || align=left| || G || align=left| || 3 || – || 39 || 344 || 88 || 46 || 29 ||
|-
| align=left| || align=left| || F || align=left| || 4 || – || 101 || 2,551 || 1,137 || 517 || 158 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F/C || align=left| || 1 || || 3 || 104 || 44 || 40 || 1 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 10 || 372 || 180 || 131 || 56 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 5 || 188 || 60 || 63 || 8 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 25 || 414 || 162 || 57 || 34 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 28 || 394 || 77 || 60 || 14 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 30 || 450 || 101 || 54 || 75 ||
|-
| align=left| || align=left| || F || align=left| || 4 || – || 49 || 1,041 || 411 || 155 || 40 ||
|-
| bgcolor=#cfecec align=left|^ || align=left| || G || align=left| || 2 || –present || 31 || 748 || 343 || 65 || 98 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 4 || 36 || 12 || 5 || 4 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 24 || 410 || 110 || 34 || 29 ||
|-
| al |
https://en.wikipedia.org/wiki/Everton%20%28footballer%2C%20born%201990%29 | Everton Gonçalves Saturnino (born 5 February 1990) in Cascavel, simply known as Everton, is a Brazilian footballer who plays for Bangkok United as a centre-back.
Career
Career statistics
Honours
Club
Lajeadense
Copa FGF: 2014
Luverdense
Campeonato Mato-Grossense: 2016
Chiangrai United
Thai FA Cup: 2017
Bangkok United
Thailand Champions Cup: 2023
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football defenders
Everton Goncalves Saturnino
Everton Goncalves Saturnino
Luverdense Esporte Clube players
São José Esporte Clube players
Toledo Esporte Clube players
Clube Esportivo Lajeadense players
Atlético Clube Paranavaí players |
https://en.wikipedia.org/wiki/Kafr%20Fo | Kafr Fo () is a Syrian village in the Tartus District in Tartus Governorate. According to the Syria Central Bureau of Statistics (CBS), Kafr Fo had a population of 2,213 in the 2004 census.
References
Alawite communities in Syria
Populated places in Tartus District |
https://en.wikipedia.org/wiki/Joachim%20Schwermer | Joachim Schwermer (26 May 1950, Kulmbach) is a German mathematician, specializing in number theory.
Schwermer received his Abitur in 1969 at Aloisiuskolleg in Bad Godesberg and then studied mathematics at the University of Bonn. After graduating in 1974 with his Diplom, he received in 1977 his Promotion (Ph.D.) underi Günter Harder with thesis Eisensteinreihen und die Kohomologie von Kongruenzuntergruppen von . In 1982 he received his Habilitation from the University of Bonn. From 1986 he was a professor at the Catholic University of Eichstätt-Ingolstadt, then at the University of Düsseldorf, and finally in the 2000s at the University of Vienna. During the academic year 1980–1981 Schwermer was a visiting scholar at the Institute for Advanced Study. In 1987 he was awarded the Gay-Lussac-Humboldt-Prize.
Schwermer's research deals with algebraic groups in number theory, arithmetic geometry, Lie groups, and L-functions. He has written essays on the history of mathematics, for example, about Helmut Hasse, Hermann Minkowski, and Emil Artin.
He is now a professor at the University of Vienna as well as the scientific director at the Erwin Schrödinger International Institute for Mathematical Physics.
In June 2016, the Max Planck Institute for Mathematics held a Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday.
Selected publications
with Della Dumbaugh, Emil Artin and Beyond – Class Field Theory and L-Functions, Heritage of European Mathematics, European Mathematical Society, 2015,
with Jens Carsten Jantzen: Algebra, Springer, 2006, ,
Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen, Springer, Lectures Notes in Mathematics Bd.988, 1983, ,
as editor with Jean-Pierre Labesse: Cohomology of arithmetic groups and automorphic forms, Springer, 1990, Lecture Notes in Mathematics (Konferenz Luminy/Marseille 1989),
as editor with Catherine Goldstein and Norbert Schappacher: The Shaping of Arithmetic after C. F. Gauss's Disquisitiones Arithmeticae, Springer 2007. (containing Schwermer's essay Reduction theory of quadratic forms: towards räumliche Anschauung in Minkowski's Early Work , , and his essay, with Della Fenster, Composition of Quadratic Forms: An Algebraic Perspective, )
Minkowski, Hensel, and Hasse: On The Beginnings of the Local-Global Principle, in Jeremy Gray, Karen Parshall: Episodes in the history of modern algebra (1800-1950), American Mathematical Society 2007
Über Reziprozitätsgesetze in der Zahlentheorie, in Horst Knörrer (ed.): Arithmetik und Geometrie, Mathematische Miniaturen, vol. 3, Birkhäuser Verlag 1986, ,
External links
Homepage at the University of Vienna
References
20th-century German mathematicians
21st-century German mathematicians
German historians of mathematics
University of Bonn alumni
Academic staff of Heinrich Heine University Düsseldorf
Academic staff of the University of Vienna
Institute for Advanced Study visiting scholars
1950 births
|
https://en.wikipedia.org/wiki/Roger%20Smith%20%28footballer%2C%20born%201944%29 | Roger Anthony Smith (born 3 November 1944) is an English former professional footballer who played as a winger in the English Football League for Exeter City in the 1960s.
Statistics
Source:
References
1944 births
Living people
Sportspeople from Welwyn Garden City
English men's footballers
Men's association football wingers
Tottenham Hotspur F.C. players
Exeter City F.C. players
Ashford United F.C. players
English Football League players
Southern Football League players
Footballers from Hertfordshire |
https://en.wikipedia.org/wiki/Frank%20Williams%20%28footballer%2C%20born%201921%29 | Frank Williams (23 May 1921 – 1999) was an English footballer who played as a winger for Halifax Town in the Football League.
Statistics
Source:
References
1921 births
1999 deaths
Footballers from Halifax, West Yorkshire
English men's footballers
Men's association football wingers
Halifax Town A.F.C. players
Bacup Borough F.C. players
English Football League players |
https://en.wikipedia.org/wiki/Azalinullah%20Alias | Muhammad Azalinullah bin Mohammed Alias (born 19 March 1996) is a Malaysian footballer who plays as a midfielder for Malaysian club Perak FC.
Career statistics
Club
References
External links
Living people
1996 births
Malaysian men's footballers
Footballers from Terengganu
Men's association football central defenders
Terengganu F.C. II players
Petaling Jaya Rangers F.C. players
Terengganu FC players
Malaysia Super League players
Malaysian people of Malay descent |
https://en.wikipedia.org/wiki/Fakhrurazi%20Musa | Muhammad Fakhrurazi bin Musa (born 26 September 1991) is a Malaysian footballer who plays for Terengganu II in Malaysia Premier League as a midfielder.
Career statistics
Club
References
External links
1991 births
Living people
Malaysian men's footballers
Terengganu FC players
Terengganu F.C. II players
Footballers from Terengganu
Malaysian people of Malay descent
Men's association football midfielders |
https://en.wikipedia.org/wiki/Friedrich%20Hultsch | Friedrich Otto Hultsch (22 July 1833, Dresden – 6 April 1906, Dresden) was a German classical philologist and historian of mathematics in antiquity.
Biography
After graduating from the Dresden Kreuzschule, Friedrich Hultsch studied classical philology at the University of Leipzig from 1851 to 1855. After a probationary year at the Kreuzschule, he was employed in 1857 as a second Adjunkt at the Alte Nikolaischule in Leipzig. In 1858 he became a teacher at the Zwickau Gymnasium. In 1861 Hultsch was again employed at the Kreuzschule, where he was the rector from 1868 until his retirement in 1889. From 1879 to 1882 he also headed the newly founded Wettiner Gymnasium.
Hultsch specialized in historical metrology and textual criticism concerning mathematical antiquity.
His most important works are:
Griechische und römische Metrologie (Berlin 1862; with a substantially expanded second edition in 1882);
the edition of Scriptores metrologici graeci et romani (Leipzig 1864–1866, 2 volumes);
the exposition and criticism of geometry and stereometry of Heron of Alexandria (Berlin 1864);
the mathematical collection of Pappos (Berlin 1875–1878, 3 volumes);
the writings of Autolycus of Pitane on the moving sphere, with Hultsch's history of the rise and fall of the belief in the fixed stars (Leipzig 1885);
edition of De die natali by Censorinus (Leipzig 1867);
edition of the history by Polybius (Berlin 1867–1872, 4 volumes).
He wrote many articles on Greek mathematics in Pauly-Wissowa (e.g. Archimedes and Euclid).
Hultsch died in 1906 in Dresden and was buried in the Trinitatisfriedhof. He was elected a member of the Saxon Academy of Sciences of Leipzig (1885) and a corresponding member of the Göttingen Academy of Sciences and Humanities.
References
External links
German classical scholars
German classical philologists
German historians of mathematics
Heads of schools in Germany
Writers from Dresden
1833 births
1906 deaths |
https://en.wikipedia.org/wiki/Spiral%20optimization%20algorithm | In mathematics, the spiral optimization (SPO) algorithm is a metaheuristic inspired by spiral phenomena in nature.
The first SPO algorithm was proposed for two-dimensional unconstrained optimization
based on two-dimensional spiral models. This was extended to n-dimensional problems by generalizing the two-dimensional spiral model to an n-dimensional spiral model.
There are effective settings for the SPO algorithm: the periodic descent direction setting
and the convergence setting.
Metaphor
The motivation for focusing on spiral phenomena was due to the insight that the dynamics that generate logarithmic spirals share the diversification and intensification behavior. The diversification behavior can work for a global search (exploration) and the intensification behavior enables an intensive search around a current found good solution (exploitation).
Algorithm
The SPO algorithm is a multipoint search algorithm that has no objective function gradient, which uses multiple spiral models that can be described as deterministic dynamical systems. As search points follow logarithmic
spiral trajectories towards the common center, defined as the current best point, better solutions can be found and the common center can be updated.
The general SPO algorithm for a minimization problem under the maximum iteration (termination criterion) is as follows:
0) Set the number of search points and the maximum iteration number .
1) Place the initial search points and determine the center , ,and then set .
2) Decide the step rate by a rule.
3) Update the search points:
4) Update the center: where .
5) Set . If is satisfied then terminate and output . Otherwise, return to Step 2).
Setting
The search performance depends on setting the composite rotation matrix , the step rate , and the initial points .
The following settings are new and effective.
Setting 1 (Periodic Descent Direction Setting)
This setting is an effective setting for high dimensional problems under the maximum iteration . The conditions on and together ensure that the spiral models generate descent directions periodically. The condition of works to utilize the periodic descent directions under the search termination .
Set as follows: where is the identity matrix and is the zero vector.
Place the initial points at random to satisfy the following condition:
where . Note that this condition is almost all satisfied by a random placing and thus no check is actually fine.
Set at Step 2) as follows: where a sufficiently small such as or .
Setting 2 (Convergence Setting)
This setting ensures that the SPO algorithm converges to a stationary point under the maximum iteration . The settings of and the initial points are the same with the above Setting 1. The setting of is as follows.
Set at Step 2) as follows: where is an iteration when the center is newly updated at Step 4) and such as . Thus we have to add the following rules about to the Algorithm:
•(Step 1 |
https://en.wikipedia.org/wiki/Journal%20of%20Commutative%20Algebra | The Journal of Commutative Algebra is a peer-reviewed academic journal of mathematical research that specializes in commutative algebra and closely related fields. It has been published by the Rocky Mountain Mathematics Consortium (RMMC) since its establishment in 2009. It is currently published four times per year.
Historically, the Journal of Commutative Algebra filled a niche for the Rocky Mountain Mathematics Consortium when the Canadian Applied Mathematics Quarterly, formerly published by the RMMC, was acquired by the Applied Mathematics Institute of the University of Alberta. Founding editors Jim Coykendall (currently at Clemson University) and Hal Schenck (currently at Auburn University) began the journal with the goal of creating a top-tier journal in commutative algebra.
Abstracting and indexing
The journal is abstracted and indexed in Current Contents/Physical, Chemical & Earth Sciences, Science Citation Index Expanded, Scopus, MathSciNet, and zbMATH.
References
External links
Academic journals established in 2009
Mathematics journals
English-language journals
Quarterly journals
Delayed open access journals |
https://en.wikipedia.org/wiki/Complex%20random%20vector | In probability theory and statistics, a complex random vector is typically a tuple of complex-valued random variables, and generally is a random variable taking values in a vector space over the field of complex numbers. If are complex-valued random variables, then the n-tuple is a complex random vector. Complex random variables can always be considered as pairs of real random vectors: their real and imaginary parts.
Some concepts of real random vectors have a straightforward generalization to complex random vectors. For example, the definition of the mean of a complex random vector. Other concepts are unique to complex random vectors.
Applications of complex random vectors are found in digital signal processing.
Definition
A complex random vector on the probability space is a function such that the vector is a real random vector on where denotes the real part of and denotes the imaginary part of .
Cumulative distribution function
The generalization of the cumulative distribution function from real to complex random variables is not obvious because expressions of the form make no sense. However expressions of the form make sense. Therefore, the cumulative distribution function of a random vector is defined as
where .
Expectation
As in the real case the expectation (also called expected value) of a complex random vector is taken component-wise.
Covariance matrix and pseudo-covariance matrix
The covariance matrix (also called second central moment) contains the covariances between all pairs of components. The covariance matrix of an random vector is an matrix whose th element is the covariance between the i th and the j th random variables. Unlike in the case of real random variables, the covariance between two random variables involves the complex conjugate of one of the two. Thus the covariance matrix is a Hermitian matrix.
The pseudo-covariance matrix (also called relation matrix) is defined replacing Hermitian transposition by transposition in the definition above.
Properties
The covariance matrix is a hermitian matrix, i.e.
.
The pseudo-covariance matrix is a symmetric matrix, i.e.
.
The covariance matrix is a positive semidefinite matrix, i.e.
.
Covariance matrices of real and imaginary parts
By decomposing the random vector into its real part and imaginary part (i.e. ), the pair has a covariance matrix of the form:
The matrices and can be related to the covariance matrices of and via the following expressions:
Conversely:
Cross-covariance matrix and pseudo-cross-covariance matrix
The cross-covariance matrix between two complex random vectors is defined as:
And the pseudo-cross-covariance matrix is defined as:
Two complex random vectors and are called uncorrelated if
.
Independence
Two complex random vectors and are called independent if
where and denote the cumulative distribution functions of and as defined in and denotes their joint cumulative distribution function. Independence |
https://en.wikipedia.org/wiki/Denis%20Kulbayev | Denis Kulbayev (born 9 February 1975) is a retired Tajikistani footballer who played for the Tajikistan national football team.
Career statistics
International
International Goals
Honours
Dynamo Dushanbe
Tajik League (1): 1996
Varzob Dushanbe
Tajik League (1): 1999
Tajik Cup (1): 1999
References
External links
1975 births
Living people
Tajikistani men's footballers
Tajikistan men's international footballers
Men's association football forwards
Tajikistani people of Russian descent |
https://en.wikipedia.org/wiki/Po-Shen%20Loh | Po-Shen Loh (born June 18, 1982) is an American professor of mathematics at Carnegie Mellon University, specializing in combinatorics, and formerly served as the national coach of the United States' International Math Olympiad team. He is the founder of educational websites Expii and Live, and lead developer of contact-tracing app NOVID.
Early life and education
Loh was born on June 18, 1982 in Madison, Wisconsin to Singaporean immigrants Wei-Yin and Theresa Loh. As a middle school student, Loh twice represented Wisconsin in the Mathcounts competition. He attended James Madison Memorial High School, and in 1999 won a silver medal representing the US in the International Mathematical Olympiad (IMO).
Loh studied mathematics as an undergraduate student at the California Institute of Technology. In 2003, he won a Goldwater Scholarship. In 2004 he graduated with honors, ranked first in his graduating class, and his undergraduate thesis received an honorable mention for the 2004 Morgan Prize. Loh completed a one-year master's degree at Cambridge University on a Churchill Scholarship.
Loh pursued graduate studies in mathematics at Princeton University with the support of a Hertz Fellowship, and, under the supervision of Benny Sudakov, received a Ph.D. in 2010 with his dissertation Results in extremal and probabilistic combinatorics.
Career
Teaching and coaching
Loh's math coaching career started in 2002 when he first served as an assistant coach at the US national IMO training camp, Mathematical Olympiad Summer Program (MOSP). In 2010, Loh was appointed deputy leader Team USA for the IMO, and in 2014 he was appointed leader, and remains the national coach. Under his coaching, the team won the competition in 2015, 2016, 2018, and 2019—their first victories since 1994. He left his position as MOP director and IMO team leader in 2023.
Loh has been a professor at Carnegie Mellon University since 2010, where he teaches courses on discrete mathematics and extremal combinatorics. Loh runs the training seminar for the Putnam competition for Carnegie Mellon undergraduates.
Research
Loh works at the intersections of combinatorics, graph theory, probability, and computer science, and he has written 41 publications.
In 2019, Loh developed an alternative method and exposition for the solution of quadratic equations, based on the symmetry of parabolas.
Other projects
Loh is a prolific creator of expository math videos on YouTube, which have collectively been viewed millions of times. Loh's videos have been praised for their high quality and attractive diagrams.
Loh is the founder of Expii, a crowdsourced math lesson and problem solving website with tens of thousands of users. Loh also founded Live, a math education site in which student teachers teach small courses via livestreaming and video chat, as a way to improve interactivity of remote learning during the COVID-19 pandemic.
In March 2020, Loh and other Hertz fellows were asked to assist in h |
https://en.wikipedia.org/wiki/Geri%20Selita | Geri Selita (born 8 March 2001) is an Albanian professional footballer who plays as a forward for Lushnja on loan from Egnatia.
Career statistics
Club
References
2001 births
Living people
Footballers from Kavajë
Albanian men's footballers
Men's association football midfielders
Albania men's youth international footballers
KF Besa Kavajë players |
https://en.wikipedia.org/wiki/Michael%20A.%20B.%20Deakin | Michael Andrew Bernard Deakin (12 August 1939 – 5 August 2014) was an Australian mathematician and mathematics educator. He was known for his work as a writer and editor of Function, a mathematics magazine aimed at high school students, and as a biographer of ancient Greek mathematician Hypatia. He won the B. H. Neumann award of the Australian Mathematics Trust in 2003 for his "rich and varied commitment to mathematics enrichment".
Education and career
Deakin was born 12 August 1939. He grew up in Tasmania, and moved to Melbourne late in his high school education, taking a second matriculation year studying Latin at St Patrick's College, East Melbourne before entering the University of Melbourne in 1957. He completed a bachelor's degree with second-class honours in mathematics at Melbourne in 1961. He went on to earn a master's degree there in 1963, with a thesis on integral equations supervised by Russell Love.
Deakin moved to the University of Chicago in 1963 for graduate study, and completed his Ph.D. in 1966. He became a lecturer at Monash University in Melbourne in 1967, but then in 1970 moved to Papua New Guinea to become reader-in-charge in the mathematics department of the Institute of Higher Technical Education. He returned to Monash as a senior reader in 1973. He earned a master's degree in education in 1975 from the University of Exeter, and remained at Monash for the rest of his career.
He died on 5 August 2014, survived by his widow, Rayda, and the children of his first marriage.
Function
In 1976 a group of mathematicians at Monash University led by department chair Gordon Preston recognized the need for a journal focused on "mathematics as mathematicians themselves would recognise it, but addressed to secondary students". A secondary but explicit goal was to encourage young women in mathematics, as at that time their under-representation was already recognized. Later, over beers with friends from other disciplines, Deakin found the name for the new journal, Function. The journal was published from 1977 to 2004, and Deakin became a founding member of its editorial board, its most frequent contributor, and, for much of its existence, its editor-in-chief.
Hypatia
Deakin published the first of his several articles on Hypatia in 1992 in Function.
In 2007, he published the book Hypatia of Alexandria: Mathematician and Martyr (Prometheus Books). Aimed at a popular audience, the book is "at least in part, a response to Maria Dzielska's Hypatia of Alexandria", which had focused on the historical and literary legacy of Hypatia at the expense of her mathematics, and which Deakin had previously reviewed for the American Mathematical Monthly. In his book, Deakin organizes the work of other scholars on Hypatia's mathematics, particularly relying on the earlier work of Wilbur Knorr, rather than formulating new theories on this aspect of Hypatia's work. He argues that, unlike some other neoplatonists of her time, Hypatia was not opposed to Chr |
https://en.wikipedia.org/wiki/Bangladesh%20Bureau%20of%20Educational%20Information%20and%20Statistics | Bangladesh Bureau of Educational Information and Statistics is the government agency responsible for the collection and dissemination of statistics and information related to education in Bangladesh and is located in Dhaka, Bangladesh.
History
Dr. Muhammad Qudrat-e-Khoda Commission Report in 1974 recommended that the government of Bangladesh form a separate bureau within the Ministry of Education to collection information on education in Bangladesh. The bureau was modelled on the Central Bureau of Education. Bangladesh Bureau of Educational Information and Statistics was established in 1977. It has two wings, the division of statistics and the Documentation, Library & Publication Division. It started out with a rented premises in Dhanmondi but moved to a permanent office in Palashi-Nilkhet road.
References
External links
Government agencies of Bangladesh
Research institutes in Bangladesh
1977 establishments in Bangladesh
Organisations based in Dhaka
Government bureaus of Bangladesh |
https://en.wikipedia.org/wiki/James%20O.%20C.%20Ezeilo | James Okoye Chukuka Ezeilo (17 January 1930 – 2013) was the first professor of mathematics in Nigeria. He was often regarded as the father of modern mathematics in the country and was the fifth vice chancellor of the University of Nigeria, Nsukka. He was Vice Chancellor of Bayero University Kano from 1977 to 1978. He was an alumnus of Cambridge University and died in 2013.
He pioneered the use of Leray-Schauder degree type arguments to obtain existence results for periodic solutions of ordinary differential equations.
Honour
One of the past Vice chancellor of Bayero University Kano state, a Twin lecture theatre was name after him, J O C. Ezeilo Twin theatre which is located at Bayero University old campus opposite of department of Human physiology.
Death
On the January 4th 2013 his death was announced
References
1930 births
2013 deaths
Academic staff of the University of Nigeria
Alumni of the University of Cambridge
20th-century Nigerian mathematicians
Vice-Chancellors of the University of Nigeria
Fellows of the African Academy of Sciences |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Babini | José Babini (10 May 1897, Buenos Aires – 18 May 1984, Buenos Aires) was an Argentine mathematician, engineer, and historian of mathematics and mathematical sciences.
Babini worked for a construction company, where the owners recognized his mathematical talent and made it possible for him to pursue academic study. From 1918 he studied in Buenos Aires. In 1921 he graduated with a qualification to teach natural science and mathematics. In 1922 he received his degree as a civil engineer. Already in 1917 he contacted the well-known Spanish mathematician Julio Rey Pastor. Instead of working as a civil engineer, Babini taught mathematics at the Faculty for Industrial Chemistry of the Universidad Nacional del Litoral in Rosario. There he introduced new methods of numerical analysis and was considered a leading Argentine expert in this field. He then taught at the Faculty of Sciences of Education (Facultad de Ciencias de la Educación) in Paraná, Entre Ríos and at the Colegio Nacional y la Escuela Industrial. When Aldo Mieli in 1938 came from Paris to Argentina, he and Babini founded at the Universidad Nacional del Litoral in Rosario the Instituto de Historia y Filosofía de la Ciencia (with the support of Rey Pastor). The Instituto existed until 1943. Babini was an editor for the journal Archeion (founded by Mieli in 1919 with the name Archivio di Storia della Scienza) and with Mieli edited the series Panorama general de historia del ciencia in 12 volumes. In this series, Babini wrote, with Desiderio Papp, El siglo de iluminismo on the exact sciences in the 19th century (volume number 8 of the series).
He was a major organizer of science in Argentina and a member of the national research council CONICET. From 1955 to 1966 he was the dean of the Facultad de Ciencias Exactas y Naturales of the National University in Buenos Aires. In 1957 he was the rector and interim director of the newly founded Universidad Nacional del Nordeste. He also presided over Argentina's newly founded university publishing house EUDEBA (Editorial Universitaria de Buenos Aires).
Babini was a member of the editorial board of Historical Studies in the Physical Sciences and was a co-founder of the journal Quipu: Revista Latinoamericana de Historia de las Ciencias y la Tecnología (based in Mexico City).
He was Invited Speaker of the ICM in 1928 in Bologna. He was the author, co-author, or editor of numerous books (at least 70) and essays as well as translations. In particular, he also published the first books on the history of science as it developed in Argentina.
Selected publications
with J. Rey Pastor: Historia de la matemática, 1953
Biografía de los infinitamente pequeños, 1957
Historia sucinta de la matemática, 1953
Origen y naturaleza de la ciencia, 1947
Arquímedes, 1948
Historia de la ciencia argentina, 1951
La evolución del pensamiento cientifico en la Argentina, 1953
El saber en la historia, 1971
El siglo de las luces: ciencia y tecnología, 1971
Historia de la medicina |
https://en.wikipedia.org/wiki/List%20object | In category theory, an abstract branch of mathematics, and in its applications to logic and theoretical computer science, a list object is an abstract definition of a list, that is, a finite ordered sequence.
Formal definition
Let C be a category with finite products and a terminal object 1.
A list object over an object of C is:
an object ,
a morphism : 1 → , and
a morphism : × →
such that for any object of with maps : 1 → and : × → , there exists a unique : → such that the following diagram commutes:
where〈id, 〉denotes the arrow induced by the universal property of the product when applied to id (the identity on ) and . The notation * (à la Kleene star) is sometimes used to denote lists over .
Equivalent definitions
In a category with a terminal object 1, binary coproducts (denoted by +), and binary products (denoted by ×), a list object over can be defined as the initial algebra of the endofunctor that acts on objects by ↦ 1 + ( × ) and on arrows by ↦ [id1,〈id, 〉].
Examples
In Set, the category of sets, list objects over a set are simply finite lists with elements drawn from . In this case, picks out the empty list and corresponds to appending an element to the head of the list.
In the calculus of inductive constructions or similar type theories with inductive types (or heuristically, even strongly typed functional languages such as Haskell), lists are types defined by two constructors, nil and cons, which correspond to and , respectively. The recursion principle for lists guarantees they have the expected universal property.
Properties
Like all constructions defined by a universal property, lists over an object are unique up to canonical isomorphism.
The object 1 (lists over the terminal object) has the universal property of a natural number object. In any category with lists, one can define the length of a list to be the unique morphism : → 1 which makes the following diagram commute:
References
See also
Natural number object
F-algebra
Initial algebra
Objects (category theory)
Topos theory |
https://en.wikipedia.org/wiki/Incomparable | Incomparable may refer to:
Comparability, in mathematics, with respect to a given relation over a set
HMS Incomparable, a proposal for a very large battlecruiser, suggested in 1915
Incomparable (diamond), one of the largest diamonds ever found
Anupama (1966 film) aka "Incomparable"
Incomparable (Faith Evans album), a 2014 album
Incomparable (Dead by April album), a 2011 album
See also
Comparable (disambiguation)
Incomparability property (commutative algebra)
Indistinguishability (disambiguation) |
https://en.wikipedia.org/wiki/Hubert%20Hamer | Hubert Hamer is the top official of the U.S. National Agricultural Statistics Service (NASS), the agency that produces most official U.S. government statistics on agriculture and food.
Hamer has been at NASS since the 1990s and was made Administrator in 2016. He had worked in several field offices, then became an administrator of field offices, then became director of NASS's Statistics Division and chair of the USDA's Agricultural Statistics Board. He is NASS's first African-American administrator.
Early life and education
Hamer grew up on a farm in Benton County, Mississippi and later lived in Grand Junction, Tennessee. He received a bachelor's degree from Tennessee State University in agricultural science in 1980.
References
American civil servants
Tennessee State University alumni
Place of birth missing (living people)
Year of birth missing (living people)
United States Department of Agriculture officials
African-American government officials
People from Benton County, Mississippi
People from Grand Junction, Tennessee
Living people
Obama administration personnel
Trump administration personnel |
https://en.wikipedia.org/wiki/1984%E2%80%9385%20FK%20Partizan%20season | The 1984–85 season was the 39th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1984–85 season.
Friendlies
Competitions
Yugoslav First League
Matches
Yugoslav Cup
UEFA Cup
First round
Second round
Third round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1984-85 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Michele%20de%20Franchis | Michele de Franchis (6 April 1875, Palermo – 19 February 1946, Palermo) was an Italian mathematician, specializing in algebraic geometry. He is known for the De Franchis theorem and the Castelnuovo–de Franchis theorem.
He received his laurea in 1896 from the University of Palermo, where he was taught by Giovanni Battista Guccia and Francesco Gerbaldi. De Franchis was appointed in 1905 Professor of Algebra and Analytic Geometry at the University of Cagliari and then in 1906 moved to the University of Parma, where he was appointed professor of Projective and Descriptive Geometry and remained until 1909. From 1909 to 1914 he was a professor at the University of Catania. In 1914, upon the death of Guccia, he was appointed as Guccia's successor in the chair Analytic and Projective Geometry at the University of Palermo.
In 1909 Michele de Franchis and Giuseppe Bagnera were awarded the Prix Bordin of the Académie des Sciences of Paris for their work on hyperelliptic surfaces. De Franchis and Bagnera were Invited Speakers at the ICM in 1908 in Rome.
Among de Franchis's students are Margherita Beloch, Maria Ales, and Antonino Lo Voi.
References
External links
Indice del volume dedicato a De Franchis dai Rendiconti del Circolo Matematico di Palermo
Bibliography, Università di Padova
1875 births
1946 deaths
Algebraic geometers
Italian algebraic geometers
20th-century Italian mathematicians
University of Palermo alumni
Academic staff of the University of Catania
Academic staff of the University of Palermo
Mathematicians from Sicily |
https://en.wikipedia.org/wiki/Fauzi%20Kadar | Muhammad Fauzi bin Abdul Kadar (born 28 July 1992) is a Malaysian footballer who plays for Ultimate in Malaysia M3 League as a winger.
Career statistics
Club
References
External links
Living people
Malaysian men's footballers
Men's association football defenders
1992 births
Terengganu FC players
Footballers from Kedah |
https://en.wikipedia.org/wiki/Jonathan%20Borja | Jonathan Darwin Borja Colorado (born 5 April 1994) is an Ecuadorian footballer who currently is free agent.
Club career
He began his career with Deportivo Quevedo in 2012.
Career statistics
Honours
LDU Quito
Ecuadorian Serie A: 2018
References
1994 births
Living people
Men's association football midfielders
Ecuadorian men's footballers
Ecuadorian expatriate men's footballers
Ecuadorian Serie A players
Liga MX players
C.D. Quevedo footballers
S.D. Quito footballers
L.D.U. Loja footballers
Guayaquil City F.C. footballers
S.D. Aucas footballers
C.D. El Nacional footballers
L.D.U. Quito footballers
Cruz Azul footballers
People from Ibarra, Ecuador
Ecuador men's international footballers
Expatriate men's footballers in Mexico |
https://en.wikipedia.org/wiki/Daiki%20Asaoka | is a Japanese retired footballer.
He signed for Albirex Niigata (S) after graduating from University of Tsukuba.
Club career statistics
As of Jan 2, 2017
References
External links
1995 births
Living people
Japanese men's footballers
Singapore Premier League players
Albirex Niigata Singapore FC players
Tokyo United FC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Dry%20Branch%20Creek%20%28Tohickon%20Creek%20tributary%29 | Dry Branch Creek is a tributary of the Tohickon Creek in Richland Township, Bucks County, Pennsylvania in the United States. Dry Branch is part of the Delaware River watershed.
Statistics
Dry Branch Creek rises at an elevation of and meets the Tohickon Creek at an elevation of . The length is . That gives the creek an average slope of per mile (km).
Course
Dry Branch Creek rises in the upper portion of Haycock Township at an elevation of and flows to the southwest for about where it receives a tributary from the right bank, then another mile or so where it meets its confluence with the Tohickon Creek at an elevation of . Its average slope is 17.7 feet per mile (2.75 meters per kilometers). In a study conducted in 2001 by the Pennsylvania Department of Conservation and Natural Resources Rivers Conservation Program, Dry Branch Creek was found to be impaired in condition and caused extensive flooding during severe storms at the Raub Road crossing.
Stream progression
Dry Branch Creek
Tohickon Creek
Delaware River
Crossings and bridges
Erie Road
Raub Road
Union Road
Beck Road
West Sawmill Road
Meadow Road
Pennsylvania Route 212 (Church Road)
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of Tohickon Creek |
https://en.wikipedia.org/wiki/John%20Tromp | John Tromp is a Dutch computer scientist. He formerly worked for Dutch Centre for Mathematics and Computer Science. Tromp discovered the number of legal states of the board game Go, and co-authored with Bill Taylor the Tromp-Taylor Rules, which they call "the logical rules of Go".
He is also known for Binary combinatory logic (Binary lambda calculus).
References
External links
John Tromp's homepage at GitHub
John Tromp's entry on the Chess Programming Wiki
Living people
Dutch computer scientists
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Wang%20Puchen | Major General Wang Puchen (; July 12, 1901 - 2005) was born in Jiangshan of Qing Dynasty China's Zhejiang province. He was the Director of the Bureau of Investigation and Statistics for northern China stationed in Beijing. He reported directly to National Intelligence Director Dai Li.
Timeline
1911 – Graduated from Jiangshan County Model Primary School
1913 – Graduated from Jiangshan County Wenxi (文溪) High School
1920 – Graduated from Ninth Provincial Normal College in Zhejiang province
1921-1934 – Served as Education Bureau Chief (教育局局长) of Jiangshan County (江山县), Qingyuan County (庆元县), Wuyi County (武义县)
1935 – Started work at Jiangsu Provincial Public Education Center. Also joined the Investigation and Statistics Bureau branch of the Military Commission and was appointed as director of the Central Party School of the Kuomintang.
December 1936 – In his position as Major General responsible for the Bureau's Northwest Commandant, he secretly saved Chiang Kai-shek
1937 – Appointed General Secretary of Jiangsu and Zhejiang Action Committee Special Command Post
1938 – Appointed Major General Military Advisor of the Republic of China Army 41st military command, commander of the 11th military theater
1939-1941 – General Secretary of the Office of Director Dai Li
1941-January 1942 – Attended Central Military Academy (黄埔军校) sixth class
After 1941 – deputy commander of Sichuan-Kham (康巴) theater. Publicly served as President Chiang Kai-shek's Investigation Section Chief stationed in Chengdu
1944 – head of the Chief of Inspection Department of Xi'an Garrison Command, Major General of the Eighth Theater Survey Office
1945 – Chief Inspector and Procuratorial Group leader of Investigation and Statistics Bureau for Beijing and Tianjin
March 1946 – Working bureau's Nanjing region
July 1948 - January 1949 – Director of the Bureau of Investigation and Statistics in Beijing (北平站站长). Served as coordinator for cease fire between Kuomintang and Communist Party of China.
January 23, 1949 – Traveled to Nanjing from Beijing. Traveled to Taiwan in same year.
September 1997 – Returned to mainland China to visit relatives
July 2005 – Passed away in Taipei
Books
Wang Puchen authored several books including:
"滚滚浪沙九十秋" - Turbulent Waves With Sands for 90 Autumns (1991)
"一代奇人戴笠將軍" - Legendary General Dai Li (June 12, 2003)
"三莅美境，六度月园" - Three Visits to US Seeing Six Full Moons
References
1901 births
2005 deaths
Taiwanese people from Zhejiang
People from Jiangshan
Politicians from Quzhou
Republic of China politicians from Zhejiang
Members of the Kuomintang
Spymasters |
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