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https://en.wikipedia.org/wiki/Centre%20International%20de%20Rencontres%20Math%C3%A9matiques | The Centre International de Rencontres Mathématiques (CIRM) is a mathematics research institute associated with the Centre National de la Recherche Scientifique (CNRS) and the Société Mathématique de France (SMF). It is located in Luminy, Marseille, France, and is affiliated with Aix-Marseille University. CIRM hosts weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. Modeled as a "villa Medici of mathematics", it receives around 3,500 visitors per year.
History
In 1954, a report from the CNRS discussed potential sites for a meeting place to hold international seminars and workshops in mathematics similar to the Mathematisches Forschunginstitut Oberwolfach. The Luminy estate, formerly owned by the prominent Fabre shipping family, was chosen in 1976. The estate was handed over to the SMF in 1979. The center opened in 1981 and the first workshop was held in 1982.
Scientific programs
CIRM supports a variety of residential programs and workshops. Each year, CIRM runs around 35 week-long workshops with an average of 75 weekly participants. CIRM also supports joint programs with Société de Mathématiques Appliquées et Industrielles, Institut Henri Poincaré, and Société Mathématique de France.
Jean-Morlet Chair
CIRM hosts the Jean-Morlet Chair, which is a six-month residential program for international researchers to collaborate with a local project leader from Aix-Marseille University to plan events and projects. The chair was named after Jean Morlet, a French geophysicist who worked with Marseille-based researcher Alex Grossmann, among others, to develop the wavelet transform. Past chairs have included Nicola Kistler, Boris Hasselblatt, Igor Shparlinski, Hans Georg Feichtinger, Herwig Hauser, François Lalonde, Dipendra Prasad, Mariusz Lemańczyk, Konstantin Khanin, Shigeki Akiyama, and Genevieve Walsh.
Directors
André Aragnol: June 1981 – August 1986
Gilles Lachaud: September 1986 – August 1991
Jean-Paul Brasselet: September 1991 – August 1995
Jean-Pierre Labesse: September 1995 – August 2000
Robert Coquereaux: September 2000 – August 2005
Pascal Chossat: September 2005 – August 2010
Patrick Foulon: September 2010 – August 2020
Pascal Hubert: September 2020 – present
References
French National Centre for Scientific Research
Research institutes established in 1981
International research institutes for mathematics
Research institutes in France
Aix-Marseille University
Education in Marseille |
https://en.wikipedia.org/wiki/Locally%20constant%20sheaf | In algebraic topology, a locally constant sheaf on a topological space X is a sheaf on X such that for each x in X, there is an open neighborhood U of x such that the restriction is a constant sheaf on U. It is also called a local system. When X is a stratified space, a constructible sheaf is roughly a sheaf that is locally constant on each member of the stratification.
A basic example is the orientation sheaf on a manifold since each point of the manifold admits an orientable open neighborhood (while the manifold itself may not be orientable.)
For another example, let , be the sheaf of holomorphic functions on X and given by . Then the kernel of P is a locally constant sheaf on but not constant there (since it has no nonzero global section).
If is a locally constant sheaf of sets on a space X, then each path in X determines a bijection Moreover, two homotopic paths determine the same bijection. Hence, there is the well-defined functor
where is the fundamental groupoid of X: the category whose objects are points of X and whose morphisms are homotopy classes of paths. Moreover, if X is path-connected, locally path-connected and semi-locally simply connected (so X has a universal cover), then every functor is of the above form; i.e., the functor category is equivalent to the category of locally constant sheaves on X.
If X is locally connected, the adjunction between the category of presheaves and bundles restricts to an equivalence between the category of locally constant sheaves and the category of covering spaces of X.
References
External links
https://golem.ph.utexas.edu/category/2010/11/locally_constant_sheaves.html (recommended)
Algebraic topology
Topological spaces |
https://en.wikipedia.org/wiki/Men%27s%20Olympic%20football%20tournament%20records%20and%20statistics | This is a list of records and statistics of the football tournament in the Olympic games ever since the inaugural official edition in 1908.
Medal table
Bronze medals shared in 1972 tournament
Top scorers by tournament
Records
Starting with the first official football tournament in London in 1908, Denmark's Sophus Nielsen and Hungary's Antal Dunai share the record for the most total goals scored by a player in tournament history. Both have 13 goals: Nielsen scored 11 goals in 1908 and two in 1912, and Dunai scored six in 1968 and seven in 1972. Ferenc Bene holds the record for the most goals scored by a player in a single Olympics tournament, scoring 12 goals in the 1964 edition. Sophus Nielsen and Gottfried Fuchs share the record for most goals scored in a single Olympic match at 10. Nielson achieved that in the semi-final match against France in 1908, and Fuchs did so in the first-round match against Russia in the 1912 consolation tournament.
Neymar scored the fastest goal in a men's Olympic football match in history, 14 seconds into the semi-final match against Honduras on 17 August 2016.
All-time top scorers
The all-time top goalscorers with at least 7 goals (since 1908)
Hat-tricks
Since the first official tournament in 1908 in England, 99 hat-tricks have been scored in over 1,000 matches of the 25 editions of the tournament.
Teams: tournament position
Teams having equal quantities in the tables below are ordered by the tournament the quantity was attained in (the teams that attained the quantity first are listed first). If the quantity was attained by more than one team in the same tournament, these teams are ordered alphabetically.
Most titles won 3, (1900, 1908, 1912) ; (1952, 1964, 1968).
Most finishes in the top two 5, (1984, 1988, 2012, 2016, 2020).
Most finishes in the top three 7, (1984, 1988, 1996, 2008, 2012, 2016, 2020).
Most finishes in the top four 8, (1976, 1984, 1988, 1996, 2008, 2012, 2016, 2020).
Most appearances 15, (1912, 1920, 1924, 1928, 1936, 1948, 1952, 1960, 1984, 1988, 1992, 1996, 2000, 2004, 2008).
Consecutive
Most consecutive medals 4, (1948–52–56–60); (1960–64–68–72); (2008–12–16–20).
Most consecutive golds 2, (1908–12); (1924–28); (1964–68); (2004–08); (2016–20).
Most consecutive silvers 3, (1948–52–56).
Most consecutive bronzes 3, (1908–12–20).
Most consecutive top three finishes 3, (1972–1980).
Most consecutive championships by a confederation 13, UEFA, (1936–1992).
Most consecutive matches won 12 (2004–2008), six in each tournament.
Gaps
Longest gap between titles 32 years, (1956–1988).
Longest gap between appearances in the top two 72 years, (1920–1992).
Host team
Best finish by host team Champion: (1908); (1920); (1992); (2016).
Other
Most finishes in the top two without ever being champion 3, (1908, 1912, 1960).
Most finishes in the top three without ever being champion 4, (1908, 1912, 1948, 1960).
Most finishes in the top four without ever being c |
https://en.wikipedia.org/wiki/Ifedayo%20Olusegun | Ifedayo Olusegun Patrick Omosouyi (born 14 January 1991) is a Nigerian professional footballer who plays as a forward for Malaysia Super League club Kedah Darul Aman.
Career statistics
Club
Honours
Club
Al-Hidd
Bahraini Premier League: 2015–16
Bahraini King's Cup: 2015
Bahraini FA Cup: 2015
Bahraini Super Cup: 2015
Individual
PFAM Player of the Month (2): July 2018, May 2019
Malaysia Super League Top Scorers (2): 2020, 2021
References
External links
1991 births
Living people
Nigerian men's footballers
FELDA United F.C. players
Malkiya Club players
Selangor F.C. players
Men's association football forwards
Nigerian expatriate men's footballers
Expatriate men's footballers in Bahrain
Nigerian expatriates in Bahrain
Expatriate men's footballers in Malaysia
Nigerian expatriates in Malaysia |
https://en.wikipedia.org/wiki/Convex%20measure | In measure and probability theory in mathematics, a convex measure is a probability measure that — loosely put — does not assign more mass to any intermediate set "between" two measurable sets A and B than it does to A or B individually. There are multiple ways in which the comparison between the probabilities of A and B and the intermediate set can be made, leading to multiple definitions of convexity, such as log-concavity, harmonic convexity, and so on. The mathematician Christer Borell was a pioneer of the detailed study of convex measures on locally convex spaces in the 1970s.
General definition and special cases
Let X be a locally convex Hausdorff vector space, and consider a probability measure μ on the Borel σ-algebra of X. Fix −∞ ≤ s ≤ 0, and define, for u, v ≥ 0 and 0 ≤ λ ≤ 1,
For subsets A and B of X, we write
for their Minkowski sum. With this notation, the measure μ is said to be s-convex if, for all Borel-measurable subsets A and B of X and all 0 ≤ λ ≤ 1,
The special case s = 0 is the inequality
i.e.
Thus, a measure being 0-convex is the same thing as it being a logarithmically concave measure.
Properties
The classes of s-convex measures form a nested increasing family as s decreases to −∞"
or, equivalently
Thus, the collection of −∞-convex measures is the largest such class, whereas the 0-convex measures (the logarithmically concave measures) are the smallest class.
The convexity of a measure μ on n-dimensional Euclidean space Rn in the sense above is closely related to the convexity of its probability density function. Indeed, μ is s-convex if and only if there is an absolutely continuous measure ν with probability density function ρ on some Rk so that μ is the push-forward on ν under a linear or affine map and is a convex function, where
Convex measures also satisfy a zero-one law: if G is a measurable additive subgroup of the vector space X (i.e. a measurable linear subspace), then the inner measure of G under μ,
must be 0 or 1. (In the case that μ is a Radon measure, and hence inner regular, the measure μ and its inner measure coincide, so the μ-measure of G is then 0 or 1.)
References
Measures (measure theory) |
https://en.wikipedia.org/wiki/List%20of%20Sporting%20Clube%20da%20Brava%20records%20and%20statistics | Sporting Clube da Brava is a Capeverdean football (soccer) club based in Nova Sintra and serves the island of Brava along with its surrounding uninhabited islets of the north. The club was founded in 1988. Sporting currently play in the Brava Island League, their last national championship participation was in the 2017 Cape Verdean Football Championships. Sporting Brava has never been lower than the second tier.
This list encompasses the records set by the club and its statistics.
The club currently is third for the most Brava titles with four behind SC Morabeza and Nô Pintcha.
All stats accurate as of the end of the 2018 regional regular season
Records and statistics
Best position: 2nd - Group Stage (national)
Best position at cup competitions: 1st (regional)
Best position at an opening tournament: 1st
Appearances at the championships:
National: 4
Regional: 22
Appearance at a regional cup competition: 5
Appearances at regional super cup competition: 3
Total matches played: 21 (national)
Total matches played at home: 9
Total matches played away: 12
Total points: 19 (national)
Total wins: 5 (national)
Total wins at home: 3
Total wins away: 2
Total draws: 4 (national)
Total draws at home: 3
Total draws away: 1
Total goals scored: 20 (national)
Best season:
National: 2017 (3 wins, 1 draw, 6 goals, 10 pts)
Regional: 2017 (12 wins, 0 draws, 0 losses)
Highest number of goals scored in a season:
National: 6, in 2016 and in 2017
Regional: 67, in 2017
Highest number of points in a season:
National: 10, in 2017
Regional: 36, in 2017
Highest number of wins in a season:
National 3, in 2017
Regional: 12 in 2015 and in 2017
Longest unbeaten run at the regional championships: 53 matches (April 14, 2013 – February 23, 2018)
Longest unbeaten run at home: 29 matches (since February 17, 2013)
Longest unbeaten run away: 23 matches (April 14, 2013 – February 23, 2018)
Highest scoring match(es):
National: 2 with three goals
FC Ultramarina 4-3 Sporting Brava, 4 June 2015
Sinagoga 2-3 Sporting Brava, 15 May 2016
Regional: Corôa 2-16 Sporting Brava, 30 April 2017
Other:
Appearance at the São Filipe Municipal Tournament: Once, in 2016
Lowest number of goals scored in a season: 3 (national), in 2015
Lowest number of points in a season: 1 (national), in 2015
Highest number of goals conceded in a season: 16 (national), 2015
Highest number of matches lost in a season: 4 (national), 2015
Total losses: 12 (national)
Total goals conceded: 41 (national)
Worst defeat at the National Championships: Mindelense 6-0 Sporting Brava, May 23, 2015
National championship record by opponent
Sporting Brava's first team has competed in a number of regionally and nationally contested leagues, and its national tier record against each club faced in these competitions is listed below. The team that Sporting Brava has met most in national championships competition is Derby from Mindelo whom they have contested 4 matches each after the end of the 2017 regular season.
Derby and Sporting Pr |
https://en.wikipedia.org/wiki/Jorginho%20%28footballer%2C%20born%205%20January%201991%29 | Jorge de Moura Xavier (born 5 January 1991), commonly known as Jorginho, is a Brazilian footballer who plays as an attacking midfielder for Sport Recife.
Career statistics
Honours
Atlético Goianiense
Campeonato Brasileiro Série B: 2016
Campeonato Goiano: 2019, 2022
Sport
Campeonato Pernambucano: 2023
References
External links
1991 births
Living people
Footballers from Goiânia
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
K League 1 players
Saudi Pro League players
Vila Nova Futebol Clube players
Atlético Clube Goianiense players
Club Athletico Paranaense players
Ceará Sporting Club players
Sport Club do Recife players
Seongnam FC players
Al Qadsiah FC players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in South Korea
Expatriate men's footballers in South Korea
Brazilian expatriate sportspeople in Saudi Arabia
Expatriate men's footballers in Saudi Arabia |
https://en.wikipedia.org/wiki/Shambeckler%20Vui | Shambeckler Vui is an Australian rugby union player who plays as a Prop for the Super Rugby team the . He has also represented Australia in the under 20s team.
Super Rugby statistics
References
Australian rugby union players
Sportsmen from New South Wales
Living people
1997 births
Rugby union props
Perth Spirit players
Western Force players
New South Wales Waratahs players
Sydney (NRC team) players
ACT Brumbies players
Mitsubishi Sagamihara DynaBoars players
Black Rams Tokyo players
Rugby union players from Sydney |
https://en.wikipedia.org/wiki/List%20of%20churches%20in%20Cambridgeshire | Lists of churches in Cambridgeshire may be found in the six lists for each of the ceremonial county's constituent districts. A summary of statistics is given below.
*numbers may not add to total due to some churches counting towards more than one denomination
1includes twenty college chapels
Cambridgeshire |
https://en.wikipedia.org/wiki/Giro%20Donne%20records%20and%20statistics | The Giro Donne has been won three times by a racer who led the general classification on the first stage and held the lead all the way to finish. Catherine Marsal was the first to accomplish this achievement in the 1990 Giro, with Fabiana Luperini and Nicole Brändli doing the same in 1996 and 2005 respectively.
Pink Jersey
Individual records
The "Jerseys" column lists the number of days that the cyclist wore the pink jersey. The next five columns indicate the number of times the rider won the general classification, points classification, the Queen of the Mountains classification, and the young rider competition, and the years in which the pink jersey was worn, with bold years indicating an overall Giro win. For example: Fabiana Luperini has spent 40 days in the pink jersey, won the general classification five times, won the points classification once, won the mountains classification four times, and never won the young rider classification. She wore the pink jersey in the Giros of 1995, 1996, 1997, 1998, 2008 (which she all won). Roberta Bonanomi in 1989 is the only rider to have won the Giro Donne with only one pink jerseys in their career.
Diana Žiliūtė is, as of 2017 with fourteen days in pink, the rider with the most pink jerseys ever for someone who has not won the Giro. The three active Giro Donne winners Marianne Vos, Megan Guarnier and Anna van der Breggen rank, as of 2017, 2nd, joint 8th, and 16th with thirty three, eleven each, and eight days in pink respectively.
Number of wears per year
Table up to 2021.
The largest number of different riders wearing the pink jersey in any year is 6. The smallest is 1.
Wearers by Country
The following table is valid up to 2018.
The pink jersey has been awarded to 15 different countries since 1988.
Winning margin
Stage Wins
Stage wins per rider
This table is correct as of stage 6 of the 2019 Giro d'Italia Femminile.
17 riders have won 5 stages or more (including half-stages, excluding Team Time Trials). Riders with the same number of stage wins are ordered alphabetically using surname.
Key:
Order of first Victory
Stage wins per country
Riders from 21 countries have won at least one stage in the Giro Donne.
Notes
References
Cycling records and statistics
Giro d'Italia Femminile |
https://en.wikipedia.org/wiki/Wan%20Amirul%20Afiq%20Wan%20Abdul%20Rahman | Wan Amirul Afiq bin Wan Ab Rahman (born 18 July 1992) is a Malaysian footballer who plays as a defender for Malaysia Super League club Kedah Darul Aman.
Career statistics
Club
Honours
Melaka United
Malaysia Premier League: 2016
Felda United
Malaysia Premier League: 2018
References
External links
1992 births
Footballers from Kelantan
Living people
Malaysian men's footballers
Malaysia men's international footballers
FELDA United F.C. players
Melaka United F.C. players
Kedah Darul Aman F.C. players
Malaysia Super League players
Men's association football defenders |
https://en.wikipedia.org/wiki/Mohammad%20Khater | Mohammad Khater (; born 25 August 1989) is a Jordanian professional footballer who plays as a goalkeeper for Jordanian club Sahab.
Career statistics
International
References
External links
Jordanian men's footballers
Men's association football goalkeepers
Footballers from Amman
Al-Ahli SC (Amman) players
1989 births
Living people
Al-Salt SC players
Jordanian Pro League players
Mansheyat Bani Hasan SC players
Al-Asalah SC players
Sahab SC players
Jordan men's international footballers |
https://en.wikipedia.org/wiki/2017%E2%80%9318%20Valencia%20CF%20season | The 2017–18 season was Valencia Club de Fútbol's 98th in the club's history and their 83rd in La Liga.
This article shows player statistics and all matches (official and friendly) that the club played during the 2017–18 season.
Squad
Out on loan
Transfers
In
Total spend: €37,000,000
Out
Net income: €17,200,000
Statistics
Appearances and goals
Last updated on 20 May 2018
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Goalkeepers
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Defenders
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Midfielders
|-
! colspan=14 style=background:#dcdcdc; text-align:center|Forwards
|-
! colspan=14 style=background:#dcdcdc; text-align:center| Players who have made an appearance or had a squad number this season but have been loaned out or transferred
|-
|-
|}
Cards
Accounts for all competitions. Last updated on 19 December 2017.
Clean sheets
Last updated on 19 December 2017
Competitions
Overview
La Liga
Standings
Results summary
Result round by round
Matchday
Copa del Rey
Round of 32
Round of 16
Quarter-finals
Semi-finals
References
External links
Club's official website
Valencia
Valencia CF seasons |
https://en.wikipedia.org/wiki/Amanda%20Grahame | Amanda Grahame (born 25 March 1979) is a former professional tennis player from Australia.
Biography
Grahame was born in Canberra, one of four daughters of stockbroker Denis and maths teacher Jeanette. Coached by Chris Kachel, Grahame began competing on the professional tour in 1997. She won three ITF Circuit singles titles locally in 1998 as well as the doubles at the $25,000 Lexington event. In 1999 she made the second round of the Australian Open doubles with Bryanne Stewart and played in the main doubles draw of the French Open. At the 2000 Australian Open she competed in the singles draw for the first of three times and lost a close opening round match to Serena Williams. She led the American 4–2 in the first set which she lost, then claimed the second set, but went down 4–6 in the third. Her best performances on the WTA Tour were at the Canberra International. She made the doubles quarter-finals in 2001 with Justine Henin and was a singles semi-finalist as a qualifier in 2002, with wins over Barbara Rittner, Rachel McQuillan and Petra Mandula.
ITF finals
Singles (3–6)
Doubles (3–10)
References
External links
1979 births
Living people
Australian female tennis players
Tennis people from the Australian Capital Territory
Sportswomen from the Australian Capital Territory |
https://en.wikipedia.org/wiki/PERT%20distribution | In probability and statistics, the PERT distribution is a family of continuous probability distributions defined by the minimum (a), most likely (b) and maximum (c) values that a variable can take. It is a transformation of the four-parameter beta distribution with an additional assumption that its expected value is
The mean of the distribution is therefore defined as the weighted average of the minimum, most likely and maximum values that the variable may take, with four times the weight applied to the most likely value.
This assumption about the mean was first proposed in Clark, 1962 for estimating the effect of uncertainty of task durations on the outcome of a project schedule being evaluated using the program evaluation and review technique, hence its name. The mathematics of the distribution resulted from the authors' desire to make the standard deviation equal to about 1/6 of the range.
The PERT distribution is widely used in risk analysis to represent the uncertainty of the value of some quantity where one is relying on subjective estimates, because the three parameters defining the distribution are intuitive to the estimator. The PERT distribution is featured in most simulation software tools.
Comparison with the triangular distribution
The PERT distribution offers an alternative to using the triangular distribution which takes the same three parameters. The PERT distribution has a smoother shape than the triangular distribution. The triangular distribution has a mean equal to the average of the three parameters:
which (unlike PERT) places equal emphasis on the extreme values which are usually less-well known than the most likely value, and is therefore less reliable. The triangular distribution also has an angular shape that does not match the smoother shape that typifies subjective knowledge.
The modified-PERT distribution
The PERT distribution assigns very small probability to extreme values, particularly to the extreme furthest away from the most likely value if the distribution is strongly skewed. The Modified PERT distribution was proposed to provide more control on how much probability is assigned to tail values of the distribution. The modified-PERT introduces a fourth parameter that controls the weight of the most likely value in the determination of the mean:
Typically, values of between 2 and 3.5 are used for and have the effect of flattening the density curve; the unmodified PERT would use . This is useful for highly skewed distributions where the distances and are of very different sizes.
The modified-PERT distribution has been implemented in several simulation packages and programming languages:
ModelRisk – risk analysis add-in for Excel.
Primavera risk analysis – project risk analysis simulation tool.
Tamara – project risk analysis simulation tool.
Wolfram Mathematica – mathematical symbolic computation program.
R (programming language): mc2d package.
Python (programming language): pertdist package.
Ref |
https://en.wikipedia.org/wiki/Hasnizaidi%20Jamian | Hasnizaidi bin Jamian (born 27 March 1990) is a Malaysian footballer who plays as a right back for Terengganu.
Career statistics
Club
References
External links
1990 births
Terengganu FC players
FELDA United F.C. players
Johor Darul Ta'zim F.C. players
Living people
Malaysian men's footballers
Malaysia men's international footballers
Malaysia Super League players
Men's association football defenders
Footballers from Johor |
https://en.wikipedia.org/wiki/Sixth%20power | In arithmetic and algebra the sixth power of a number n is the result of multiplying six instances of n together. So:
.
Sixth powers can be formed by multiplying a number by its fifth power, multiplying the square of a number by its fourth power, by cubing a square, or by squaring a cube.
The sequence of sixth powers of integers is:
0, 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536, 11390625, 16777216, 24137569, 34012224, 47045881, 64000000, 85766121, 113379904, 148035889, 191102976, 244140625, 308915776, 387420489, 481890304, ...
They include the significant decimal numbers 106 (a million), 1006 (a short-scale trillion and long-scale billion), 10006 (a Quintillion and a long-scale trillion) and so on.
Squares and cubes
The sixth powers of integers can be characterized as the numbers that are simultaneously squares and cubes.
In this way, they are analogous to two other classes of figurate numbers: the square triangular numbers, which are simultaneously square and triangular,
and the solutions to the cannonball problem, which are simultaneously square and square-pyramidal.
Because of their connection to squares and cubes, sixth powers play an important role in the study of the Mordell curves, which are elliptic curves of the form
When is divisible by a sixth power, this equation can be reduced by dividing by that power to give a simpler equation of the same form.
A well-known result in number theory, proven by Rudolf Fueter and Louis J. Mordell, states that, when is an integer that is not divisible by a sixth power (other than the exceptional cases and ), this equation either has no rational solutions with both and nonzero or infinitely many of them.
In the archaic notation of Robert Recorde, the sixth power of a number was called the "zenzicube", meaning the square of a cube. Similarly, the notation for sixth powers used in 12th century Indian mathematics by Bhāskara II also called them either the square of a cube or the cube of a square.
Sums
There are numerous known examples of sixth powers that can be expressed as the sum of seven other sixth powers, but no examples are yet known of a sixth power expressible as the sum of just six sixth powers. This makes it unique among the powers with exponent k = 1, 2, ... , 8, the others of which can each be expressed as the sum of k other k-th powers, and some of which (in violation of Euler's sum of powers conjecture) can be expressed as a sum of even fewer k-th powers.
In connection with Waring's problem, every sufficiently large integer can be represented as a sum of at most 24 sixth powers of integers.
There are infinitely many different nontrivial solutions to the Diophantine equation
It has not been proven whether the equation
has a nontrivial solution, but the Lander, Parkin, and Selfridge conjecture would imply that it does not.
Other properties
is divisible by 7 iff n isn't divisible by 7.
See also
Sextic equation
Eighth |
https://en.wikipedia.org/wiki/Seventh%20power | In arithmetic and algebra the seventh power of a number n is the result of multiplying seven instances of n together. So:
.
Seventh powers are also formed by multiplying a number by its sixth power, the square of a number by its fifth power, or the cube of a number by its fourth power.
The sequence of seventh powers of integers is:
0, 1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 4782969, 10000000, 19487171, 35831808, 62748517, 105413504, 170859375, 268435456, 410338673, 612220032, 893871739, 1280000000, 1801088541, 2494357888, 3404825447, 4586471424, 6103515625, 8031810176, ...
In the archaic notation of Robert Recorde, the seventh power of a number was called the "second sursolid".
Properties
Leonard Eugene Dickson studied generalizations of Waring's problem for seventh powers, showing that every non-negative integer can be represented as a sum of at most 258 non-negative seventh powers (17 is 1, and 27 is 128). All but finitely many positive integers can be expressed more simply as the sum of at most 46 seventh powers. If powers of negative integers are allowed, only 12 powers are required.
The smallest number that can be represented in two different ways as a sum of four positive seventh powers is 2056364173794800.
The smallest seventh power that can be represented as a sum of eight distinct seventh powers is:
The two known examples of a seventh power expressible as the sum of seven seventh powers are
(M. Dodrill, 1999);
and
(Maurice Blondot, 11/14/2000);
any example with fewer terms in the sum would be a counterexample to Euler's sum of powers conjecture, which is currently only known to be false for the powers 4 and 5.
See also
Eighth power
Sixth power
Fifth power (algebra)
Fourth power
Cube (algebra)
Square (algebra)
References
Integers
Number theory
Elementary arithmetic
Integer sequences
Unary operations
Figurate numbers |
https://en.wikipedia.org/wiki/John%20Hooper%20%28Irish%20statistician%29 | John Hooper (26 January 1878 – 29 December 1930) was an Irish statistician who served as the first director of statistics for the Irish Free State, starting in 1923.
Biography
John Hooper was born at 1 Anglesea Place, Cork city, son of politician and journalist John Hooper (1846–1897) and his wife Mary Jane Buckley, and went to school at the Christian Brothers in Cork and the O'Connell School in Dublin. In 1898, he got a BA (with first class honours) in mathematics from the Royal University of Ireland in Dublin. He joined the civil service, and worked for a while at the Office of the Postmaster-General in London.
In 1902, he returned to Dublin and joined the Department of Agriculture and Technical Instruction of Ireland (DATII), specifically the Statistics and Intelligence Branch. By 1917, he had risen to the rank of superintendent of this branch, and in 1920 he presented two papers at the inaugural Conference of British Empire Statisticians in London.
A few years later, the provisional government of the Free State combined DATII and the Department of the Ministry of Labour to form the new Department of Industry and Commerce. Thus, in 1923, Hooper became the first Director of Statistics in the country by being appointed head of the Statistics Branch of this new department. In this role, he led the country's statistical initiatives in its early years, but he died of pneumonia in 1930 at the age of 52.
Honors and awards
Just before he died in 1930 he was elected as a member of the prestigious International Statistical Institute (ISI). There had been plans for him to receive an honorary Doctor of Economical Science from the National University of Ireland in recognition of his leadership and service. A medal for school children is awarded each year in his honour by the Central Statistics Office in Ireland, based on a poster competition.
References
20th-century Irish mathematicians
Irish statisticians
Scientists from Cork (city)
People educated at O'Connell School
1878 births
1930 deaths |
https://en.wikipedia.org/wiki/Dottie%20number | In mathematics, the Dottie number is a constant that is the unique real root of the equation
,
where the argument of is in radians.
The decimal expansion of the Dottie number is .
Since is decreasing and its derivative is non-zero at , it only crosses zero at one point. This implies that the equation has only one real solution. It is the single real-valued fixed point of the cosine function and is a nontrivial example of a universal attracting fixed point. It is also a transcendental number because of the Lindemann-Weierstrass theorem. The generalised case for a complex variable has infinitely many roots, but unlike the Dottie number, they are not attracting fixed points.
Using the Taylor series of the inverse of at (or equivalently, the Lagrange inversion theorem), the Dottie number can be expressed as the infinite series where each is a rational number defined for odd n as
The name of the constant originates from a professor of French named Dottie who observed the number by repeatedly pressing the cosine button on her calculator.
If a calculator is set to take angles in degrees, the sequence of numbers will instead converge to , the root of .
Closed form
The Dottie number can be expressed as
where is the inverse regularized Beta function. This value can be obtained using Kepler's equation.
In Microsoft Excel and LibreOffice Calc spreadsheets, the Dottie number can be expressed in closed form as . In the Mathematica computer algebra system, the Dottie number is .
Integral representations
Dottie number can be represented as
.
Another integral representation:
Notes
References
Mathematical constants
Real transcendental numbers
Fixed points (mathematics)
External links |
https://en.wikipedia.org/wiki/Susan%20P.%20Holmes | Susan P. Holmes is a statistician and professor at Stanford University. She is noted for her work in applying nonparametric multivariate statistics, bootstrapping methods, and data visualization to biology. She received her PhD in 1985 from Université Montpellier II. She served as a tenured research scientist at INRA for ten years. She then taught at MIT and Harvard and was an associate professor of biometry at Cornell before moving to Stanford in 1998. She is married to fellow Stanford professor Persi Diaconis.
She is a Fellow of the Institute of Mathematical Statistics.
References
Living people
Biostatisticians
University of Montpellier alumni
Stanford University Department of Statistics faculty
Massachusetts Institute of Technology staff
Harvard University staff
Cornell University faculty
Fellows of the Institute of Mathematical Statistics
Women statisticians
Year of birth missing (living people)
American statisticians
Mathematical statisticians |
https://en.wikipedia.org/wiki/Kim%20Won-gun | Kim Won-gun () is a South Korean football player who plays for Gangwon F.C.
Club career
Kim Won-gun joined FC Seoul in 2015 as Rookie Free Agent.
Career Statistics
Club
References
External links
1988 births
Living people
Men's association football central defenders
South Korean men's footballers
FC Seoul players
Gangwon FC players
K League 1 players
K League 2 players |
https://en.wikipedia.org/wiki/1977%E2%80%9378%20Galatasaray%20S.K.%20season | The 1977–78 season was Galatasaray's 74th in existence and the club's 20th consecutive season in the Turkish First Football League. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
1. Lig
Standings
Matches
Turkiye Kupasi
Round of 32
Round of 16
1/4 final
Friendly Matches
Kick-off listed in local time (EET)
Friendly match
TSYD Kupası
Attendance
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
1979–1980 İstanbul Futbol Ligi. Türk Futbol Tarihi vol.1. page(121). (June 1992) Türkiye Futbol Federasyonu Yayınları.
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1977–78 season
1970s in Istanbul
Galatasaray Sports Club 1977–78 season |
https://en.wikipedia.org/wiki/Mina%20Teicher | Mina Teicher is an Israeli mathematician at Bar-Ilan University, specializing in algebraic geometry.
Teicher earned bachelor's, masters, and doctoral degrees from Tel Aviv University in 1974, 1976, and 1981 respectively. Her dissertation, Birational Transformation Between 4-folds, was supervised by Ilya Piatetski-Shapiro.
Since 1999, she has directed the Emmy Noether Research Institute for Mathematics at Bar-Ilan University.
In 2001–2002 she was the inaugural Emmy Noether Visiting professor at the University of Göttingen, where she lectured about braid groups.
She has held many leadership roles in academia and science, including serving from 2005 to 2007 as chief scientist at Israel's Ministry of Science and Technology, and chairing the board of governors of the United States – Israel Binational Science Foundation from 2012 to 2013.
References
External links
Home page
Year of birth missing (living people)
Living people
Israeli mathematicians
Women mathematicians
Algebraic geometers
Tel Aviv University alumni
Academic staff of Bar-Ilan University |
https://en.wikipedia.org/wiki/Aequationes%20Mathematicae | Aequationes Mathematicae is a mathematical journal. It is primarily devoted to functional equations, but also publishes papers in dynamical systems, combinatorics, and geometry. As well as publishing regular journal submissions on these topics, it also regularly reports on international symposia on functional equations and produces bibliographies on the subject.
János Aczél founded the journal in 1968 at the University of Waterloo, in part because of the long publication delays of up to four years in other journals at the time of its founding.
It is currently published by Springer Science+Business Media, with Zsolt Páles of the University of Debrecen as its editor in chief. János Aczél remains its honorary editor in chief.
it was listed as a second-quartile mathematics journal by SCImago Journal Rank.
References
Functional equations
Mathematics journals
Academic journals established in 1968 |
https://en.wikipedia.org/wiki/Andrew%20Soward | Andrew Michael Soward (born 20 October 1943) is a British fluid dynamicist. He is an emeritus professor at the Department of Mathematics of the University of Exeter.
Education
Soward was educated at Queens' College, Cambridge. He earned his PhD in 1969, under the supervision of Keith Moffatt.
Research
Soward is known for his work on magnetohydrodynamics (MHD) and especially dynamo theory, and also for his contributions to linear and nonlinear stability theory. He used asymptotic analysis to solve a number of outstanding problems in applied mathematics. By a new pseudo-Lagrangian technique for studying lightly damped fluid systems, he elucidated previously inexplicable features of Braginskii's geodynamo. Soward has provided explicit examples of steady fast dynamo action, thus disproving a conjecture that such dynamos did not exist.
He identified new rotating modes of nonlinear convection in rotating systems, and in collaboration with Steven Childress, established an MHD dynamo model in a rapidly rotating Bénard layer; he also gave the first demonstration that situations exist where oscillatory MHD dynamos generate magnetic fields more readily than steady flows can. He collaborated with Eric Priest to provide the first mathematically consistent account of the Petschek mechanism of magnetic field line reconnection. Soward also gave the first complete solution of the Stefan (freezing) problem in cylindrical geometry; with C.A. Jones, he provided the first completely correct solution of the spherical Taylor problem.
Awards and honours
Soward was elected a Fellow of the Royal Society (FRS) in 1991.
References
1943 births
Living people
British mathematicians
Fluid dynamicists
Fellows of the Royal Society
Academics of the University of Exeter
Alumni of Queens' College, Cambridge |
https://en.wikipedia.org/wiki/Perfect%20obstruction%20theory | In algebraic geometry, given a Deligne–Mumford stack X, a perfect obstruction theory for X consists of:
a perfect two-term complex in the derived category of quasi-coherent étale sheaves on X, and
a morphism , where is the cotangent complex of X, that induces an isomorphism on and an epimorphism on .
The notion was introduced by for an application to the intersection theory on moduli stacks; in particular, to define a virtual fundamental class.
Examples
Schemes
Consider a regular embedding fitting into a cartesian square
where are smooth. Then, the complex
(in degrees )
forms a perfect obstruction theory for X. The map comes from the composition
This is a perfect obstruction theory because the complex comes equipped with a map to coming from the maps and . Note that the associated virtual fundamental class is
Example 1
Consider a smooth projective variety . If we set , then the perfect obstruction theory in is
and the associated virtual fundamental class is
In particular, if is a smooth local complete intersection then the perfect obstruction theory is the cotangent complex (which is the same as the truncated cotangent complex).
Deligne–Mumford stacks
The previous construction works too with Deligne–Mumford stacks.
Symmetric obstruction theory
By definition, a symmetric obstruction theory is a perfect obstruction theory together with nondegenerate symmetric bilinear form.
Example: Let f be a regular function on a smooth variety (or stack). Then the set of critical points of f carries a symmetric obstruction theory in a canonical way.
Example: Let M be a complex symplectic manifold. Then the (scheme-theoretic) intersection of Lagrangian submanifolds of M carries a canonical symmetric obstruction theory.
Notes
References
See also
Behrend function
Gromov–Witten invariant
Differential topology
Symplectic geometry
Hamiltonian mechanics
Smooth manifolds |
https://en.wikipedia.org/wiki/Buck%20Creek%20%28Delaware%20River%20tributary%29 | Buck Creek is a tributary of the Delaware River, rising in Lower Makefield Township, Bucks County, Pennsylvania and meeting its confluence at the Delaware River's 138.00 river mile.
Statistics
Buck Creek was entered into the Geographic Names Information System of the U.S. Geological Survey on 2 August 1979 as identification number 1170509, U.S. Department of the Interior Geological Survey I.D. is 02944.
Course
Mirror Lake Road passes between two small unnamed lakes at an elevation of , the head waters of Buck Creek. The creek runs easterly for about then turns northerly for about , then slowly curves to the east receiving a unnamed tributary from the left, entering Yardley Borough, receiving Brock Creek from the right, then meeting with the Delaware River at its 138 river mile at an elevation of , resulting in an average slope of .
Municipalities
Bucks County
Lower Makefield Township
Yardley Borough
Crossings and Bridges
See also
List of rivers of Pennsylvania
List of rivers of the United States
List of Delaware River tributaries
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of the Delaware River |
https://en.wikipedia.org/wiki/Archives%20of%20American%20Mathematics | The Archives of American Mathematics, located at the University of Texas at Austin, aims to collect, preserve, and provide access to the papers principally of American mathematicians and the records of American mathematical organizations.
History
The Archives began in 1975 at the University of Texas at Austin with the preservation of the papers of Texas mathematicians R.L. Moore and H.S. Vandiver.
In 1978, the Mathematical Association of America established the university as the official repository for its archival records and the name "Archives of American Mathematics" was adopted to encompass all of the mathematical archival collections at the university. Originally a part of the Harry Ransom Center, in 1984, the Archives was added to the special collections of the Briscoe Center for American History at the University of Texas at Austin.
Collections
The AAM includes approximately 120 collections.
Notable examples
Mathematical Association of America Records.
Thomas F. Banchoff Papers document a career of teaching, writing, and making mathematical films.
Marion Walter Photograph Collection includes photographs of A.A. Albert, H.S.M. Coxeter, Paul Erdős, Fritz John, D.H. Lehmer, Alexander Ostrowski, George Polya, Mina Rees, and Olga Taussky-Todd.
School Mathematics Study Group Records document the history of the "New Math" movement of the 1960s, and includes the files of the director, Edward G. Begle.
Dorothy L. Bernstein Papers reflect both her professional and personal life.
Paul R. Halmos Photograph Collection consists of 14,000 photographs Halmos and others took from the 1930s to 2006.
Ivor Grattan-Guinness Papers reflect the career of a mathematics historian.
Paul Erdős and Carl Pomerance Correspondence Collection consists of 435 letters between Erdős and Pomerance.
Other holdings
Related collections elsewhere
Significant archives of American mathematicians and their organizations are held by other repositories. The following are examples which include a few Canadian collections with substantial United States connections. For the complete holdings, the catalogs of the individual repositories would need to be consulted. In addition, the archives of academic institutions will typically include administrative records of mathematics departments and clubs as well as the papers of faculty.
John Hay Library, Brown University -- American Mathematical Society Records (1888- ); Raymond Clare Archibald (1875-1957); James Glaisher (1848-1928); R. G. D. Richardson (1878-1949); Marshall Harvey Stone (1903-1989); James Joseph Sylvester (1814-1897) also at St. John's College (Cambridge).
American Philosophical Society -- Robert Patterson (1743-1824); David Rittenhouse (1732-1796); Robert Adrain (1775-1843); Samuel Stanley Wilks (1906-1964).
Amherst College—Ebenezer Strong Snell (1801-1876).
Boston Public Library -- Nathaniel Bowditch (1773-1838); Nicholas Pike (1743-1819).
Bridgewater State University—L.S. Dederich ( |
https://en.wikipedia.org/wiki/Brock%20Creek%20%28Buck%20Creek%20tributary%29 | Brock Creek is a tributary of Buck Creek, rising in Lower Makefield Township, Bucks County, Pennsylvania, and meets its confluence at Buck Creek's 0.60 river mile in Yardley Borough.
Statistics
Brock Creek was entered into the Geographic Names Information System of the U.S. Geological Survey as identification number 1170304, U.S. Department of the Interior Geological Survey I.D. is 02946.
Course
Brock Creek rises near the southwest corner of Lower Makefield Township just east of Interstate 95 at an elevation of , flowing generally east then northeast, turning northerly before it enters Yardley Borough and meets at Buck Creek's 0.60 river mile at an elevation of .
Municipalities
Bucks County
Lower Makefield Township
Yardley Borough
Crossings and Bridges
See also
List of rivers of Pennsylvania
List of rivers of the United States
List of Delaware River tributaries
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of the Delaware River |
https://en.wikipedia.org/wiki/Rahim%20Razak | Abdul Rahim bin Abdul Razak (born 18 January 1995) is Malaysian footballer who plays for Kuching City in the Malaysia Super League as an attacking midfielder.
Career statistics
Club
References
External links
1995 births
Living people
Malaysian men's footballers
Sarawak FA players
Sarawak United FC players
Malaysia Super League players
Malaysia Premier League players
Men's association football midfielders
Footballers from Sarawak |
https://en.wikipedia.org/wiki/Hafiz%20Bakar | Mohammad Hafiz bin Abu Bakar (born 1 January 1988) is Malaysian footballer for Sarawak in the Malaysia Premier League as a midfielder.
Career statistics
Club
References
External links
1988 births
Living people
Malaysian men's footballers
Sarawak FA players
Malaysia Super League players
Men's association football midfielders
Footballers from Sarawak |
https://en.wikipedia.org/wiki/Kamaruddin%20Bohan | Awang Kamaruddin bin Awang Bohan (born 10 January 1995) is Malaysian footballer for Sarawak in the Malaysia Premier League as a central midfielder.
Career statistics
Club
References
External links
1995 births
Living people
Malaysian men's footballers
Sarawak FA players
Malaysia Super League players
Footballers from Sarawak
Men's association football midfielders |
https://en.wikipedia.org/wiki/Radical%20probabilism | Radical probabilism is a hypothesis in philosophy, in particular epistemology, and probability theory that holds that no facts are known for certain. That view holds profound implications for statistical inference. The philosophy is particularly associated with Richard Jeffrey who wittily characterised it with the dictum "It's probabilities all the way down."
Background
Bayes' theorem states a rule for updating a probability conditioned on other information. In 1967, Ian Hacking argued that in a static form, Bayes' theorem only connects probabilities that are held simultaneously; it does not tell the learner how to update probabilities when new evidence becomes available over time, contrary to what contemporary Bayesians suggested.
According to Hacking, adopting Bayes' theorem is a temptation. Suppose that a learner forms probabilities Pold(A & B) = p and Pold(B) = q.
If the learner subsequently learns that B is true, nothing in the axioms of probability or the results derived therefrom tells him how to behave. He might be tempted to adopt Bayes' theorem by analogy and set his Pnew(A) = Pold(A | B) = p/q.
In fact, that step, Bayes' rule of updating, can be justified, as necessary and sufficient, through a dynamic Dutch book argument that is additional to the arguments used to justify the probability axioms. This argument was first put forward by David Lewis in the 1970s though he never published it. The dynamic Dutch book argument for Bayesian updating has been criticised by Hacking, Kyburg, Christensen, and Maher. It was defended by Brian Skyrms.
Certain and uncertain knowledge
That works when the new data is certain. C. I. Lewis had argued that "If anything is to be probable then something must be certain". There must, on Lewis' account, be some certain facts on which probabilities were conditioned. However, the principle known as Cromwell's rule declares that nothing, apart from a logical law, if that, can ever be known for certain. Jeffrey famously rejected Lewis' dictum. He later quipped, "It's probabilities all the way down," a reference to the "turtles all the way down" metaphor for the infinite regress problem. He called this position radical probabilism.
Conditioning on an uncertainty – probability kinematics
In this case Bayes' rule isn't able to capture a mere subjective change in the probability of some critical fact. The new evidence may not have been anticipated or even be capable of being articulated after the event. It seems reasonable, as a starting position, to adopt the law of total probability and extend it to updating in much the same way as was Bayes' theorem.
Pnew(A) = Pold(A | B)Pnew(B) + Pold(A | not-B)Pnew(not-B)
Adopting such a rule is sufficient to avoid a Dutch book but not necessary. Jeffrey advocated this as a rule of updating under radical probabilism and called it probability kinematics. Others have named it Jeffrey conditioning.
Alternatives to probability kinematics
Probability kinematics is not the o |
https://en.wikipedia.org/wiki/Ziegler%20spectrum | In mathematics, the (right) Ziegler spectrum of a ring R is a topological space whose points are (isomorphism classes of) indecomposable pure-injective right R-modules. Its closed subsets correspond to theories of modules closed under arbitrary products and direct summands. Ziegler spectra are named after Martin Ziegler, who first defined and studied them in 1984.
Definition
Let R be a ring (associative, with 1, not necessarily commutative). A (right) pp-n-formula is a formula in the language of (right) R-modules of the form
where are natural numbers, is an matrix with entries from R, and is an -tuple of variables and is an -tuple of variables.
The (right) Ziegler spectrum, , of R is the topological space whose points are isomorphism classes of indecomposable pure-injective right modules, denoted by , and the topology
has the sets
as subbasis of open sets, where range over
(right) pp-1-formulae and denotes the subgroup of consisting of all elements that satisfy the one-variable formula . One can show that these sets form a basis.
Properties
Ziegler spectra are rarely Hausdorff and often fail to have the -property. However they are always compact and have a basis of compact open sets given by the sets where are pp-1-formulae.
When the ring R is countable is sober. It is not currently known if all Ziegler spectra are sober.
Generalization
Ivo Herzog showed in 1997 how to define the Ziegler spectrum of a locally coherent Grothendieck category, which generalizes the construction above.
References
Model theory |
https://en.wikipedia.org/wiki/Walk-regular%20graph | In discrete mathematics, a walk-regular graph is a simple graph where the number of closed walks of any length from a vertex to itself does not depend on the choice of vertex.
Equivalent definitions
Suppose that is a simple graph. Let denote the adjacency matrix of , denote the set of vertices of , and denote the characteristic polynomial of the vertex-deleted subgraph for all Then the following are equivalent:
is walk-regular.
is a constant-diagonal matrix for all
for all
Examples
The vertex-transitive graphs are walk-regular.
The semi-symmetric graphs are walk-regular.
The distance-regular graphs are walk-regular. More generally, any simple graph in a homogeneous coherent algebra is walk-regular.
A connected regular graph is walk-regular if:
It has at most four distinct eigenvalues.
It is triangle-free and has at most five distinct eigenvalues.
It is bipartite and has at most six distinct eigenvalues.
Properties
A walk-regular graph is necessarily a regular graph.
Complements of walk-regular graphs are walk-regular.
Cartesian products of walk-regular graphs are walk-regular.
Categorical products of walk-regular graphs are walk-regular.
Strong products of walk-regular graphs are walk-regular.
In general, the line graph of a walk-regular graph is not walk-regular.
-walk-regular graphs
A graph is -walk regular if for any two vertices and of graph-distance the number of walks of length from to depends only of and .
For these are exactly the walk-regular graphs.
If is at least the diameter of the graph, then the -walk regular graphs coincide with the distance-regular graphs.
In fact, if and the graph has an eigenvalue of multiplicity at most (except for eigenvalues and , where is the degree of the graph), then the graph is already distance-regular.
References
External links
Chris Godsil and Brendan McKay, Feasibility conditions for the existence of walk-regular graphs.
Algebraic graph theory
Graph families
Regular graphs |
https://en.wikipedia.org/wiki/Hanif%20Dzahir | Muhammad Hanif bin Mat Dzahir (born 15 January 1994) is Malaysian professional footballer who plays as central midfielder.
Career statistics
Club
References
External links
1994 births
Footballers from Kedah
Living people
Malaysian men's footballers
Kedah Darul Aman F.C. players
Malaysia Super League players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Riemann%E2%80%93Roch-type%20theorem | In algebraic geometry, there are various generalizations of the Riemann–Roch theorem; among the most famous is the Grothendieck–Riemann–Roch theorem, which is further generalized by the formulation due to Fulton et al.
Formulation due to Baum, Fulton and MacPherson
Let and be functors on the category C of schemes separated and locally of finite type over the base field k with proper morphisms such that
is the Grothendieck group of coherent sheaves on X,
is the rational Chow group of X,
for each proper morphism f, are the direct images (or push-forwards) along f.
Also, if is a (global) local complete intersection morphism; i.e., it factors as a closed regular embedding into a smooth scheme P followed by a smooth morphism , then let
be the class in the Grothendieck group of vector bundles on X; it is independent of the factorization and is called the virtual tangent bundle of f.
Then the Riemann–Roch theorem amounts to the construction of a unique natural transformation:
between the two functors such that for each scheme X in C, the homomorphism satisfies: for a local complete intersection morphism , when there are closed embeddings into smooth schemes,
where refers to the Todd class.
Moreover, it has the properties:
for each and the Chern class (or the action of it) of the in the Grothendieck group of vector bundles on X.
it X is a closed subscheme of a smooth scheme M, then the theorem is (roughly) the restriction of the theorem in the smooth case and can be written down in terms of a localized Chern class.
The equivariant Riemann–Roch theorem
Over the complex numbers, the theorem is (or can be interpreted as) a special case of the equivariant index theorem.
The Riemann–Roch theorem for Deligne–Mumford stacks
Aside from algebraic spaces, no straightforward generalization is possible for stacks. The complication already appears in the orbifold case (Kawasaki's Riemann–Roch).
The equivariant Riemann–Roch theorem for finite groups is equivalent in many situations to the Riemann–Roch theorem for quotient stacks by finite groups.
One of the significant applications of the theorem is that it allows one to define a virtual fundamental class in terms of the K-theoretic virtual fundamental class.
See also
Kawasaki's Riemann–Roch formula
Notes
References
Vakil, Math 245A Topics in algebraic geometry: Introduction to intersection theory in algebraic geometry
External links
https://mathoverflow.net/questions/25218/why-is-riemann-roch-for-stacks-so-hard
Algebraic geometry |
https://en.wikipedia.org/wiki/Dyers%20Creek | Dyers Creek is a tributary of the Delaware River wholly contained within Lower Makefield Township, Bucks County, Pennsylvania.
Statistics
The Geographic Name Information System I.D. is 1173680, U.S. Department of the Interior Geological Survey I.D. is 02952.
Course
Dyers Creek rises in the northwestern portion of Lower Makefield Township at an elevation of , flowing generally northeast for about half of its course, then turns eastward until its confluence at the Delaware River's 139.80 river mile at an elevation of , resulting in an average slope of .
Municipalities
Bucks County
Lower Makefield Township
Crossings and bridges
Pennsylvania Route 32 (River Road) - NBI structure number 6786, bridge is long, 2 lane, single span, continuous concrete stringer/multi-beam or girder, built 1929.
Taylorsville Road
Dolington Road
In popular culture
Dyers Creek is the main river in the Land of Calormia.
See also
List of rivers of Pennsylvania
List of rivers of the United States
List of Delaware River tributaries
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of the Delaware River |
https://en.wikipedia.org/wiki/Samuel%20Adrian | Samuel Adrian (born 2 March 1998) is a Swedish footballer. He is currently playing as a midfielder for Jönköpings Södra.
Career statistics
As of 30 August 2018.
References
External links
Malmö FF profile
1998 births
Living people
Swedish men's footballers
Sweden men's youth international footballers
Sweden men's under-21 international footballers
Footballers from Skåne County
Malmö FF players
Kalmar FF players
Allsvenskan players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Sol%C3%A8r%27s%20theorem | In mathematics, Solèr's theorem is a result concerning certain infinite-dimensional vector spaces. It states that any orthomodular form that has an infinite orthonormal sequence is a Hilbert space over the real numbers, complex numbers or quaternions. Originally proved by Maria Pia Solèr, the result is significant for quantum logic and the foundations of quantum mechanics. In particular, Solèr's theorem helps to fill a gap in the effort to use Gleason's theorem to rederive quantum mechanics from information-theoretic postulates. It is also an important step in the Heunen-Kornell axiomatisation of the category of Hilbert spaces.
Physicist John C. Baez notes,Nothing in the assumptions mentions the continuum: the hypotheses are purely algebraic. It therefore seems quite magical that [the division ring over which the Hilbert space is defined] is forced to be the real numbers, complex numbers or quaternions.Writing a decade after Solèr's original publication, Pitowsky calls her theorem "celebrated".
Statement
Let be a division ring. That means it is a ring in which one can add, subtract, multiply, and divide but in which the multiplication need not be commutative. Suppose this ring has a conjugation, i.e. an operation for which
Consider a vector space V with scalars in , and a mapping
which is -linear in left (or in the right) entry, satisfying the identity
This is called a Hermitian form. Suppose this form is non-degenerate in the sense that
For any subspace S let be the orthogonal complement of S. Call the subspace "closed" if
Call this whole vector space, and the Hermitian form, "orthomodular" if for every closed subspace S we have that is the entire space. (The term "orthomodular" derives from the study of quantum logic. In quantum logic, the distributive law is taken to fail due to the uncertainty principle, and it is replaced with the "modular law," or in the case of infinite-dimensional Hilbert spaces, the "orthomodular law.")
A set of vectors is called "orthonormal" if The result is this:
If this space has an infinite orthonormal set, then the division ring of scalars is either the field of real numbers, the field of complex numbers, or the ring of quaternions.
References
Hilbert spaces
Mathematical logic
Theorems in quantum mechanics |
https://en.wikipedia.org/wiki/Ra%C3%BAl%20Torres%20%28footballer%2C%20born%201996%29 | Raúl Damián Torres Rodríguez (born 26 August 1996) is a Mexican professional footballer who plays as a midfielder for Liga de Expansión MX club Atlético Morelia.
Career statistics
Club
Honours
Tigres UANL
Liga MX: Clausura 2019
Campeón de Campeones: 2018
References
1996 births
Living people
Men's association football midfielders
Tigres UANL footballers
Venados F.C. players
Liga MX players
Ascenso MX players
Liga Premier de México players
Tercera División de México players
Sportspeople from Monclova
Footballers from Coahuila
Mexican men's footballers |
https://en.wikipedia.org/wiki/Football%20Live | Football Live was the name given to the project and computer system created and utilised by PA Sport to collect Real Time Statistics from major English & Scottish Football Matches and distribute to most leading media organisations. At the time of its operation, more than 99% of all football statistics displayed across Print, Internet, Radio & TV Media outlets would have been collected via Football Live.
Background
Prior to implementation of Football Live, the collection process consisted of a news reporter or press officer at each club telephoning the Press Association, relaying information on Teams, Goals and Half-Time & Full Time.
The basis for Football Live was to have a representative of the Press Association (FBA - Football Analyst) at every ground. Throughout the whole match they would stay on an open line on a mobile phone to a Sports Information Processor (SIP), constantly relaying in real time statistical information for every :
Shot
Foul
Free Kick
Goal
Cross
Goal Kick
Offside
This information would be entered in real time and passed to our media customers.
The Football Live project was in use from Season 2001/02 until the service was taken over by Opta in 2013/14
Commercial Customers
The most famous use for the Football Live data was for the Vidiprinter services on BBC & Sky Sports, allowing goals to be viewed on TV screens within 20 seconds of the event happening.
League competitions
From its inception in 2001/02 season, the following leagues/competitions were fully covered by Football live
English Premier League
Championship
League One
League Two
Conference
Scottish Premier League
English FA Cup
English Football League Cup
World Cup
European Championships
Champions League
Europa League
Football Analysts (FBA's)
During the early development stages, the initial idea was to employee ex-referees to act as Football Analysts, but this was soon dismissed in favour of ex-professional Footballers. The most famous of which were Brendon Ormsby, Mel Sterland, Jimmy Case, Neil Webb , John Sitton , Imre Varadi , Brian Kilcline , Gary Chivers , Micky Gynn . All the FBA's were supplied and managed by the Professional Football Association (PFA), with day-to-day responsibility lying with Paul Allen and Chris "Jozza" Joslin from the PFA.
References
Computer systems
Statistical software |
https://en.wikipedia.org/wiki/Mark%20Gross%20%28mathematician%29 | Mark William Gross (born 30 November 1965) is an American mathematician, specializing in differential geometry, algebraic geometry, and mirror symmetry.
Early life and education
Mark William Gross was born on 30 November 1965 in Ithaca, New York, to Leonard Gross and Grazyna Gross. From 1982, he studied at Cornell University, graduating with a bachelor's degree in 1984. He gained a PhD in 1990 from the University of California, Berkeley, for research supervised by Robin Hartshorne with a thesis on the surfaces in the four-dimensional Grassmannian.
Career
From 1990 to 1993 he was an assistant professor at the University of Michigan and spent the academic year 1992–1993 on leave as a postdoctoral researcher at the Mathematical Sciences Research Institute (MSRI) in Berkeley. He was at Cornell University in 1993–1997 an assistant professor and in 1997–2001 an associate professor and then at University of California, San Diego in 2001–2013 a full professor. He was a visiting professor at the University of Warwick in the academic year 2002–2003. Since 2013, he has been a professor at the University of Cambridge and since 2016, a Fellow of King's College, Cambridge.
Research
Gross works on complex geometry, algebraic geometry, and mirror symmetry. Gross and Bernd Siebert jointly developed a program (known as the Gross–Siebert Program) for studying mirror symmetry within algebraic geometry.
Selected publications
Topological Mirror Symmetry, Inventiones Mathematicae, vol. 144, 2001, pp. 75–137,
with D. Joyce, D. Huybrechts (eds.), Calabi–Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer ; 2012 reprint
with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, vol. 174, 2011, pp. 1301–1428,
with Paul S. Aspinwall, Tom Bridgeland, Alastair Craw, Michael R. Douglas, Anton Kapustin, Gregory W. Moore, Graeme Segal, Balázs Szendrői, and P. M. H. Wilson: Dirichlet branes and Mirror Symmetry, Clay Mathematics Monographs 4, 2009
Tropical geometry and mirror symmetry, CBMS Regional conference series in Mathematics 114, AMS, 2011
Mirror Symmetry for and Tropical Geometry, Preprint 2009,
The Strominger–Yau–Zaslow conjecture: From torus fibrations to degenerations, AMS Symposium Algebraic Geometry, Seattle 2005, Preprint 2008,
Mirror Symmetry and the Strominger–Yau–Zaslow conjecture, Current Developments in Mathematics 2012,
Awards and honors
Gross was an Invited Speaker, jointly with Siebert, with talk Local mirror symmetry in the tropics at the International Congress of Mathematicians in Seoul 2014. In 2016 Gross and Siebert jointly received the Clay Research Award. Gross was elected a Fellow of the Royal Society in 2017.
References
1965 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Differential geometers
Algebraic geometers
Cornell University alumni
University of California, Berkeley alumni
Cornell University faculty
University of California, San Dieg |
https://en.wikipedia.org/wiki/Bence%20Szab%C3%B3%20%28footballer%2C%20born%201998%29 | Bence Szabó (born 16 January 1998) is a Hungarian football player who plays for Mosonmagyaróvár.
Club career
On 23 July 2017 he was signed by Nemzeti Bajnokság I club Videoton FC.
Club statistics
Updated to games played as of 21 June 2020.
Honours
Puskás Akadémia FC
Nemzeti Bajnokság II: 2016–17
References
Vidi.hu Official Website
1998 births
Footballers from Székesfehérvár
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Hungary men's under-21 international footballers
Men's association football midfielders
Puskás Akadémia FC II players
Puskás Akadémia FC players
Fehérvár FC players
Nyíregyháza Spartacus FC players
Diósgyőri VTK players
Debreceni VSC players
Zalaegerszegi TE players
NK Nafta Lendava players
Mosonmagyaróvári TE footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
Slovenian Second League players
Hungarian expatriate men's footballers
Expatriate men's footballers in Slovenia
Hungarian expatriate sportspeople in Slovenia |
https://en.wikipedia.org/wiki/Sourav%20Das | Sourav Das (born 20 June 1996), is an Indian professional footballer who plays as a defensive midfielder for Chennaiyin in the Indian Super League.
Career statistics
Club
Honours
Club
Mohun Bagan
Calcutta Football League (1): 2018–19
References
Mohun Bagan SG players
East Bengal Club players
Indian Super League players
Men's association football midfielders
Indian men's footballers
Footballers from Kolkata
Living people
1996 births
Mumbai City FC players
I-League players |
https://en.wikipedia.org/wiki/1969%E2%80%9370%20Galatasaray%20S.K.%20season | The 1969–70 season was Galatasaray's 66th in existence and the 12th consecutive season in the 1. Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
1.Lig
Standings
Matches
Türkiye Kupası
Kick-off listed in local time (EET)
1st round
2nd round
1/4 Final
European Cup
First round
Second round
1/4 final
Friendly Matches
Metin Oktay Testimonial match
TSYD Kupası
Attendance
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1969–70 season
1960s in Istanbul
1970s in Istanbul |
https://en.wikipedia.org/wiki/Group-stack | In algebraic geometry, a group-stack is an algebraic stack whose categories of points have group structures or even groupoid structures in a compatible way. It generalizes a group scheme, which is a scheme whose sets of points have group structures in a compatible way.
Examples
A group scheme is a group-stack. More generally, a group algebraic-space, an algebraic-space analog of a group scheme, is a group-stack.
Over a field k, a vector bundle stack on a Deligne–Mumford stack X is a group-stack such that there is a vector bundle V over k on X and a presentation . It has an action by the affine line corresponding to scalar multiplication.
A Picard stack is an example of a group-stack (or groupoid-stack).
Actions of group-stacks
The definition of a group action of a group-stack is a bit tricky. First, given an algebraic stack X and a group scheme G on a base scheme S, a right action of G on X consists of
a morphism ,
(associativity) a natural isomorphism , where m is the multiplication on G,
(identity) a natural isomorphism , where is the identity section of G,
that satisfy the typical compatibility conditions.
If, more generally, G is a group-stack, one then extends the above using local presentations.
Notes
References
Algebraic geometry |
https://en.wikipedia.org/wiki/Syawal%20Nordin | Mohamad Syawal bin Nordin (born 25 March 1993) is Malaysian professional footballer who plays as a centre back for Langkawi City.
Career statistics
Club
Honours
Club
Kedah
Malaysia FA Cup: 2017, 2019
Malaysia Cup: 2016
Malaysia Charity Shield: 2017
References
External links
1993 births
Living people
Footballers from Kedah
Malaysian men's footballers
Men's association football defenders
Kedah Darul Aman F.C. players
Malaysia Super League players |
https://en.wikipedia.org/wiki/%C3%80lex%20Corretja%20career%20statistics | This is a list of main career statistics of Spanish former professional tennis player Àlex Corretja.
Grand Slam tournaments
Singles: (2 runner-ups)
Other significant finals
Year-end championships finals
Singles: 1 (1 title)
Olympics medal matches
Doubles: 1 (1 bronze medal)
Masters Series tournaments
Singles: 5 (2 titles, 3 runner-ups)
Career finals
ATP career finals
Singles: 30 (17 titles, 13 runner-ups)
Doubles: 7 (3 titles, 4 runner-ups)
Other finals
ATP Challengers and ITF Futures
Singles: 1 (1 runner-up)
Doubles: 2 (2 runner-ups)
Performance timelines
Singles
1Held as Stuttgart Masters until 2001, Madrid Masters from 2002 to 2008.
Doubles
1Held as Stuttgart Masters until 2001, Madrid Masters from 2002 to 2008.
Record against top-10 players
Top-10 wins per season
Career Grand Slam tournament seedings
The tournaments won by Corretja are bolded.
Singles
Doubles
National participation
Team competitions finals: 2 (1 title, 1 runner-up)
Corretja, Alex
References |
https://en.wikipedia.org/wiki/Alauddin%20Khalji%27s%20conquest%20of%20Multan | {
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"type": "Feature",
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In November 1296, the Delhi Sultanate ruler Alauddin Khalji sent an expedition to conquer Multan. His objective was to eliminate the surviving family members of his predecessor Jalaluddin Khalji, whom he had assassinated to usurp the throne of Delhi. Multan was governed by Jalaluddin's eldest son Arkali Khan. Alauddin's generals Ulugh Khan and Zafar Khan besieged Multan for around two months. They managed to gain control of the city after Arkali Khan's officers defected to their side. The surviving family members of Jalaluddin were imprisoned, and later, several of them were either blinded or killed.
Background
Alauddin had become the ruler of the Delhi Sultanate after assassinating his father-in-law Jalaluddin. Multan, which was located in the Punjab region to the north-west of Delhi, was under the control of Jalaluddin's eldest son Arkali Khan. Jalaluddin's widow (the former queen or Malka-i-Jahan) and his younger son Ruknuddin Ibrahim had taken shelter in Multan after fleeing Delhi. After strengthening his control over Delhi, Alauddin decided to conquer Multan and eliminate the surviving family of Jalaluddin.
Siege of Multan
Alauddin himself did not lead an expedition to Multan, as it was important for him to remain in Delhi to keep control of the recently-gained throne. Instead, he sent an army led by Ulugh Khan and Zafar Khan to Multan in November 1296. This army, which had 30,000-40,000 soldiers, besieged Multan immediately after reaching the town.
Arkali Khan had anticipated Alauddin's invasion, and was adequately prepared for the siege. However, after two months of being besieged, his kotwal (fort commander) and some leading citizens were convinced that Alauddin's forces would ultimately emerge victorious. Therefore, they deserted Arkali Khan, and joined Alauddin's forces.
A dejected Arkali Khan then sought help of Shaikh Ruknuddin, who engineered a truce between the warring parties. Shaikh Ruknuddin took Arkali Khan and his younger brother Ruknuddin Ibrahim to Ulugh Khan's camp. Ulugh Khan received them with dignity. At Shaikh Ruknuddin's request, Alauddin's generals promised not to harm the prisoners. However, they did not keep their promise after occupying Multan. Jalaluddin's family and the nobles supportive of them were taken into custody.
Aftermath
After taking control of Multan, Ulugh Khan and Zafar Khan marched to Delhi with the prisoners. Meanwhile, Alauddin dispatched Nusrat Khan from Delhi, with instructions to punish the prisoners. Nusrat Khan met the contingent returning from Multan at Abohar. He blinded Jalaluddin's sons Ar |
https://en.wikipedia.org/wiki/Marshall%E2%80%93Olkin%20exponential%20distribution | In applied statistics, the Marshall–Olkin exponential distribution is any member of a certain family of continuous multivariate probability distributions with positive-valued components. It was introduced by Albert W. Marshall and Ingram Olkin.
One of its main uses is in reliability theory, where the Marshall–Olkin copula models the dependence between random variables subjected to external shocks.
Definition
Let be a set of independent, exponentially distributed random variables, where has mean . Let
The joint distribution of is called the Marshall–Olkin exponential distribution with parameters
Concrete example
Suppose b = 3. Then there are seven nonempty subsets of { 1, ..., b } = { 1, 2, 3 }; hence seven different exponential random variables:
Then we have:
References
Xu M, Xu S. "An Extended Stochastic Model for Quantitative Security Analysis of Networked Systems". Internet Mathematics, 2012, 8(3): 288–320.
Statistics articles needing expert attention
Continuous distributions
Exponentials
Exponential family distributions |
https://en.wikipedia.org/wiki/Paul%20Schupp | Paul Eugene Schupp (born March 12, 1937, died January 24, 2022) was a professor emeritus of mathematics at the University of Illinois at Urbana Champaign. He is known for his contributions to geometric group theory, computational complexity and the theory of computability.
He received his Ph.D. from the University of Michigan in 1966 under the direction of Roger Lyndon.
Together with Roger Lyndon he is the coauthor of the book "Combinatorial Group Theory" which provided a comprehensive account of the subject of Combinatorial Group Theory, starting with the work of Dehn in the 1910s and to late 1970s and remains a modern standard for the subject of small cancellation theory. Starting 1980's he worked on problems that explored the connections between Group theory and Computer Science and Complexity Theory. Together with David Muller he proved that a finitely generated group G has context-free word problem if and only if G is virtually free, which is now known as Muller–Schupp theorem.
In 1977, Schupp received a Guggenheim Fellowship. In 2012, he was named an inaugural fellow of the American Mathematical Society. In 2017, the conference "Groups and Computation" was organized at Stevens Institute of Technology celebrating the mathematical contributions of Paul Schupp.
References
External links
Paul Schupp at Google Scholar
Groups and Computation: Interactions between geometric group theory, computability and computer science
University of Michigan alumni
20th-century American mathematicians
University of Illinois Urbana-Champaign faculty
21st-century American mathematicians
Academics from Cleveland
Group theorists
1937 births
Living people
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/2017%E2%80%9318%20FK%20Vardar%20season | The 2017–18 season was FK Vardar's 26th consecutive season in the First League. This article shows player statistics and all official matches that the club will play during the 2017–18 season.
Squad
Left club during season
Competitions
First League
League table
Results summary
Results by round
Matches
Macedonian Cup
First round
Second round
Quarter-finals
UEFA Champions League
Second qualifying round
Third qualifying round
UEFA Europa League
Play-off round
Group stage
Statistics
Top scorers
Notes
References
FK Vardar seasons
Vardar
Vardar
Vardar |
https://en.wikipedia.org/wiki/Estyn%20Griffiths | Estyn Griffiths (22 July 1927 – 1 April 2017) was a Welsh amateur footballer who played as a centre half in the Football League for Wrexham. He was capped by Wales at amateur level.
Career statistics
Honours
Llay Welfare
Welsh Amateur Cup: 1948–49
References
Welsh men's footballers
English Football League players
Wales men's amateur international footballers
Men's association football wing halves
1927 births
Sportspeople from Mold, Flintshire
Footballers from Flintshire
Wrexham A.F.C. players
2017 deaths
Chelmsford City F.C. players
Llay Welfare F.C. players |
https://en.wikipedia.org/wiki/Simplicial%20depth | In robust statistics and computational geometry, simplicial depth is a measure of central tendency determined by the simplices that contain a given point. For the Euclidean plane, it counts the number of triangles of sample points that contain a given point.
Definition
The simplicial depth of a point in -dimensional Euclidean space, with respect to a set of sample points in that space, is the number of -dimensional simplices (the convex hulls of sets of sample points) that contain .
The same notion can be generalized to any probability distribution on points of the plane, not just the empirical distribution given by a set of sample points, by defining the depth to be the probability that a randomly chosen -tuple of points has a convex hull that This probability can be calculated, from the number of simplices that by dividing by where is the number of sample points.
Under the standard definition of simplicial depth, the simplices that have on their boundaries count equally much as the simplices with in their interiors. In order to avoid some problematic behavior of this definition, proposed a modified definition of simplicial depth, in which the simplices with on their boundaries count only half as much. Equivalently, their definition is the average of the number of open simplices and the number of closed simplices that
Properties
Simplicial depth is robust against outliers: if a set of sample points is represented by the point of maximum depth, then up to a constant fraction of the sample points can be arbitrarily corrupted without significantly changing the location of the representative point. It is also invariant under affine transformations of the plane.
However, simplicial depth fails to have some other desirable properties for robust measures of central tendency. When applied to centrally symmetric distributions, it is not necessarily the case that there is a unique point of maximum depth in the center of the distribution. And, along a ray from the point of maximum depth, it is not necessarily the case that the simplicial depth decreases monotonically.
Algorithms
For sets of sample points in the Euclidean plane
the simplicial depth of any other point can be computed in time
optimal in some models of computation.
In three dimensions, the same problem can be solved in time
It possible to construct a data structure using ε-nets that can approximate the simplicial depth of a query point (given either a fixed set of samples, or a set of samples undergoing point insertions) in near-constant time per query, in any dimension, with an approximation whose error is a small fraction of the total number of triangles determined by the samples. In two dimensions, a more accurate approximation algorithm is known, for which the approximation error is a small multiple of the simplicial depth itself. The same methods also lead to fast approximation algorithms in higher dimensions.
Spherical depth, is defined to be the probability that a |
https://en.wikipedia.org/wiki/Regina%20Liu | Regina Y. Liu is an American statistician. She is a distinguished professor of statistics and chair of the Department of Statistics and Biostatistics at Rutgers University. Her research concerns robust statistics and nonparametric statistics, including the first formulation of simplicial depth.
Liu earned her Ph.D. in statistics from Columbia University in 1983, under the supervision of John Raphael Van Ryzin, and joined the Rutgers faculty at that time. She became a distinguished professor at Rutgers in 2001,
and department chair in 2005.
Liu became a Fellow of the American Statistical Association in 2005. She is also a fellow of the Institute of Mathematical Statistics.
Selected publications
References
External links
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Columbia Graduate School of Arts and Sciences alumni
Rutgers University faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Taiwanese statisticians |
https://en.wikipedia.org/wiki/Maryanthe%20Malliaris | Maryanthe Elizabeth Malliaris is a professor of mathematics at the University of Chicago, a specialist in model theory.
Early life and education
Malliaris is the daughter of Anastasios G. (Tassos) Malliaris, an economist at Loyola University Chicago, and Mary E. Malliaris, Professor of Information Systems at Loyola.
As an undergraduate at Harvard College, Malliaris wrote for the Harvard Crimson, contributed a biography of Polish sociologist Zygmunt Bauman to the Encyclopedia of Postmodernism, and worked for a startup called Zaps.
She graduated from Harvard in 2001 with a concentration in mathematics, and earned her PhD in 2009 from the University of California, Berkeley under the supervision of Thomas Scanlon. Her dissertation was Persistence and Regularity in Unstable Model Theory.
Research
In her dissertation and postdoctoral research, Malliaris studied unstable model theory and its connection, via characteristic sequences, to graph theoretic concepts such as the Szemerédi regularity lemma.
She is also known for two joint papers with Saharon Shelah connecting topology, set theory, and model theory.
In this work, Malliaris and Shelah used Keisler's order, a construction from model theory,
to prove the equality between two cardinal characteristics of the continuum, 𝖕 and 𝖙, which are greater than the smallest infinite cardinal and less than or equal to the cardinality of the continuum.
This resolved a problem in set theory that had been open for fifty years.
Their work also solved another problem that had been open almost as long, by characterizing the maximal theories in Keisler's order.
Awards and honors
Malliaris won a Kurt Gödel Research Prize in 2010 for her work in unstable model theory.
In 2017, she and Saharon Shelah shared the Hausdorff Medal of the European Set Theory Society for their joint papers.
She was an invited speaker at the 2018 International Congress of Mathematicians.
Selected publications
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
Model theorists
University of California, Berkeley alumni
University of Chicago faculty
The Harvard Crimson people
21st-century women mathematicians
Hausdorff Medal winners
21st-century American women |
https://en.wikipedia.org/wiki/Croatia%20men%27s%20national%20youth%20handball%20team | The Croatia national youth handball team is the national under–18 handball team of Croatia. Controlled by the Croatian Handball Federation, it represents Croatia in international matches.
Statistics
World Championship record
Acknowledgements
Individual
Aleksandar Čaprić: best left back of the 2023 World Championship
Domagoj Duvnjak: member of the all-star team of the 2007 World Championship
Marko Mamić: best left back of the 2013 World Championship
Marino Marić: best pivot of the 2009 World Championship
Ivan Martinović: best right back of the 2017 World Championship
Lovro Mihić: best left wing of the 2013 World Championship
Manuel Štrlek: member of the all-star team of the 2007 World Championship
References
External links
World Men's Youth Championship table
European Men's Youth Championship table
Handball in Croatia
Men's national youth handball teams
Handball |
https://en.wikipedia.org/wiki/Katsumi%20Fujimoto | is a former Japanese Nippon Professional Baseball first baseman and outfielder. He played for the Osaka/Hanshin Tigers from 1956 to 1967.
External links
Career statistics and player information from Baseball-Reference
1937 births
Living people
Hanshin Tigers players
Japanese baseball players
Nippon Professional Baseball first basemen
Nippon Professional Baseball outfielders
Osaka Tigers players |
https://en.wikipedia.org/wiki/Vladislav%20Prokopenko | Vladislav Vyacheslavovich Prokopenko (; born 1 July 2000) is a Kazakh football player who plays as forward for Kazakhstan Premier League club Astana.
Career statistics
Club
References
2000 births
Living people
Kazakhstani men's footballers
FC Astana players
Kazakhstan Premier League players
Men's association football forwards
Sportspeople from Astana |
https://en.wikipedia.org/wiki/Siris%2C%20Jenin | Siris () is a Palestinian town in the Jenin Governorate in the western area of the West Bank, located 32 kilometers south of Jenin. According to the Palestinian Central Bureau of Statistics, the town had a population of 5400 inhabitants in mid-year 2006 and 6,020 by 2017. Siris has an area of about 12,495 dunums, including 2,500 dunums of state land, about 7,500 dunums planted with olive trees, about 1,500 dunums of land, and the rest used for construction.
Location
Siris is bordered to the north by the villages of Al-Judeida and Sir. To the west is the town of Meithalun, to the south is the village of Yassid.
History
Ceramic remains have been found from the Roman era, as well as for the Byzantine era and the early Muslim era.
Siris was one of the stations of ancient Umayyad convoys.
In 1165 a Crusader text mention an estate name Casalien Ciris, which belonged to a Vitzgraf Ulrich.
It is said that the Muslim leader Salah al-Din Ayyubi has passed on and taken Siris as headquarters of his forces.
Ottoman era
Siris, like all of Palestine, was incorporated into the Ottoman Empire in 1517. In the 1596 tax registers, Siris was part of the nahiya ("subdistrict") of Jabal Sami, part of the larger Sanjak of Nablus. It had a population of 12 households and 3 bachelors, all Muslims. The inhabitants paid a fixed tax rate of 33,3% on agricultural products, including wheat, barley, summer crops, goats and beehives, in addition to occasional revenues; a total of 2,030 akçe.
In the 19th century the Egyptian leader Ibrahim Pasha passed with his forces through Siris during his conquests in the Levant and lived there after he failed to storm the neighboring village of Sanur.
In 1838, Edward Robinson noted the village when he travelled in the region, as bordering the extremely fertile Marj Sanur. He listed it as part of the District of Haritheh, north of Nablus.
In 1870 Victor Guérin noted the village, surrounded by groves of olives.
In 1882, the PEF's Survey of Western Palestine (SWP) described Siris as a small village in the valley, with olives.
British Mandate era
In the 1922 census of Palestine, conducted by the British Mandate authorities, Siris had 494 Muslims inhabitants, increasing in the 1931 census to 608 Muslims, in a total of 123 houses.
In the 1945 statistics, the population of Siris was 830, all Muslims, with 12,593 dunams of land, according to an official land and population survey. 1,881 dunams were used for plantations and irrigable land, 2,884 dunams for cereals, while 19 dunams were built-up (urban) land and 7,809 dunams were classified as "non-cultivable".
Jordanian era
In the wake of the 1948 Arab–Israeli War, and after the 1949 Armistice Agreements, Siris came under Jordanian rule.
The Jordanian census of 1961 found 1,207 inhabitants here.
Post-1967
After the Six-Day War in 1967, Siris has been under Israeli occupation.
References
Bibliography
External links
Welcome To Siris
Siris, Welcome to Palestine
S |
https://en.wikipedia.org/wiki/North%20East%20Asian%20Mathematics%20Competition | The North East Asian Mathematics Competition (NEAMC) is a three-stage mathematics competition in North East Asia.
It is a qualifying competition by Eunoia Ventures for invitation to the Finals of the World Mathematics Championships.
General information
The location of the NEAMC changes annually. There are now at least two venues held annually ).
The Senior level is open to all youths in Grade 12 (Year 13) or below, the Junior level is open to Grade 9 (Year 10) or below, and the Prime Plus level is open to Grade 7 (Year 8) or below.
The competition
History
NEAMC is a three-day event for school students located in North East Asia,. Participants work alone and in teams, as well as listen to mathematician guest speakers.
NEAMC was organised in February 2014 by Malcolm Coad of Nanjing International School, China. Haese Mathematics are partners of the event since conception
Format
NEAMC competitions have:
Three days of engagement
Six skills categories for prizes
The best sum ranking across all rounds win
School teams engage within the Communication skills rounds.
The Collaboration skills rounds are in buddy teams of three (teams with random teammates).
The Challenge are skills rounds undertaken as individuals.
Three skills rounds are (subject specific skills and procedures) knowledge based, three are (plan and execute) strategy focused and three depend upon (new and imaginative ideas) creativity.
So each strategy, creative and knowledge skill category is engaged in alone, in school teams and in buddy teams.
Prizes
All participants receive a transcript of relative attainment in each of the rounds.
The highest ranked individuals in each category receive medals.
The highest ranked individuals across all rounds receive medals.
The best ranked school team across all rounds receive the NEAMC Senior or Junior Cup.
Results
Past team winners
2017 – Seoul International School, S Korea
2016 – North London Collegiate School Jeju, South Korea
2015 – Seoul International School, S Korea
2014 – Seoul International School, S Korea
Past individual winners
2017 – Booyeon Brian Choi, Seoul International School
2016 – Subin Rachael Kim, North London Collegiate School Jeju
2015 – Zie Ho Choi, British International School, Pudong
2014 – Diana Kim, Seoul International School
References
Mathematics competitions |
https://en.wikipedia.org/wiki/Craft%20Academy%20for%20Excellence%20in%20Science%20and%20Mathematics | The Craft Academy for Excellence in Science and Mathematics (simply Craft Academy) is a two-year residential early college high school serving approximately 146 academically exceptional high school juniors and seniors at Morehead State University (MSU). The students live in Grote-Thompson Hall and earn dual credits as they complete their last two years of high school at the Academy while at the same time taking at least 60 credit hours of college-level courses, with tuition, room and board, and meal plan all free of charge. The Academy is funded in large part by Joe Craft and Ambassador Kelly Craft, who have donated over $10 million to the Academy, the largest donation in MSU history.
Founding and funding
Kelly Craft and Joe Craft co-founded the Craft Academy for Excellence in Science and Mathematics in 2015. It is a two-year residential early college high school serving approximately 146 academically exceptional high school juniors and seniors at Morehead State University (MSU). When students complete the two-year program, they will have earned both a high school diploma and at least 60 college credit hours, free of charge. Tuition, room and board, and meal plan are free for students.
The Crafts' initial $4 million pledge in support of the Academy was the single-largest cash gift in the history of MSU. In 2019, Joe Craft and his wife Kelly Craft committed an additional $3.5 million across five years. By 2019 they had committed over $10 million to the Academy. Their contributions to the Academy are the largest donation in MSU history.
The Academy is supported by a public-private partnership between the Crafts and the Commonwealth of Kentucky.
History
Students live in Grote-Thompson Hall on campus and take MSU classes during their time at the Academy, graduating with a Craft Academy high school diploma as well as at least 60 hours of MSU college credit. The Craft Academy specializes in providing "a unique academic and social high school experience that will better prepare [students] for college".
The first graduating Class of 2017 included 55 students. The Academy originally admitted 60 students to each of the first five classes, but has begun increasing class size in accordance with an increase in state funding.
In 2019, the Academy graduated its third class, with an average ACT score of 31. Of its 50 graduates, 35 scored 31 or higher.
In 2021, it was named among the top elite public schools in the nation by The Washington Post Education Editor Jay Mathews, and was certified by Cognia, provider of assessment services, as an elite STEM (science, technology, engineering, and math) program.
The Academy admitted 69 students to its Class of 2023.
See also
Early entrance to college
References
External links
Gifted education
Morehead State University
Public high schools in Kentucky
Schools in Rowan County, Kentucky
Educational institutions established in 2014
2014 establishments in Kentucky
Alternative schools in the United States
Uni |
https://en.wikipedia.org/wiki/Abolfazl%20Razzaghpour | Abolfazl Razzaghpour () is an Iranian footballer who plays as a defender for Tractor in the Persian Gulf Pro League.
Club career
Club career statistics
References
External links
Abolfazl Razzaghpour at FIFA.com
Abolfazl Razzaghpour at FFIRI.ir
Living people
Iranian men's footballers
F.C. Nassaji Mazandaran players
Paykan F.C. players
1997 births
Iran men's under-20 international footballers
Men's association football defenders
Footballers at the 2018 Asian Games
Footballers from Qaem Shahr
Asian Games competitors for Iran |
https://en.wikipedia.org/wiki/Dan%20Archdeacon | Dan Steven Archdeacon (1954–2015) was an American graph theorist specializing in topological graph theory, who served for many years as a professor of mathematics and statistics at the University of Vermont.
Archdeacon was born on May 11, 1954, in Dayton, Ohio, and grew up in Centerville, Ohio.
He did his undergraduate studies at Earlham College, graduating in 1975.
He completed his Ph.D. in 1980 from Ohio State University, under the supervision of Henry Hatfield Glover, with a dissertation proving an analogue of Kuratowski's theorem for the projective plane. He took a position at the University of Vermont in 1982, joining fellow graph theorist and Ohio State graduate Jeff Dinitz, after previously working as an instructor at the University of Kansas.
He died of cancer on February 18, 2015, in Burlington, Vermont.
In 2003–2004, the University of Vermont named him as University Scholar.
A special issue of the Australasian Journal of Combinatorics was published in his honor in 2017.
References
External links
1954 births
2015 deaths
People from Dayton, Ohio
20th-century American mathematicians
21st-century American mathematicians
Graph theorists
Earlham College alumni
Ohio State University Graduate School alumni
University of Kansas faculty
University of Vermont faculty
Mathematicians from Ohio
Deaths from cancer in Vermont |
https://en.wikipedia.org/wiki/List%20of%20most-visited%20museums | This is a list of the most-visited museums in the world, per annual attendance statistics. Presently, this list uses attendance statistics for 2022.
Total museum attendance in 2022 continued to recover from the effects of the COVID-19 pandemic, although attendance for most museums remained lower than before 2020. Among the top 100 art museums, total attendance in 2022 was 141 million visitors, double the number in 2021 and three times the number for 2020, but still well below the 2019 figure of 230 million visitors.
Most-visited museums in 2022
Criteria
This list includes art museums, cultural museums, history museums, natural history museums, and science museums with an attendance of over 1,250,000 people in 2022, but does not include archaeological sites, historical monuments, or most palace museums. For example, the Forbidden City, Kremlin, and Palace of Versailles are not included, though the Louvre and Hermitage are included.
Due to differences in reporting across regions, there is some variation in the time periods for which figures are reported. Figures for North America and continental Europe are generally calendar-year figures, while most figures for Britain and the Asia-Pacific are fiscal year figures, from April through March.
See also
List of most-visited art museums
List of most-visited museums by region
List of largest art museums
List of most visited palaces and monuments
List of most visited museums in the Netherlands
List of most visited museums in the United Kingdom
List of most-visited museums in the United States
List of most-visited museums in France
Notes
References
Lists of art museums and galleries
Lists of museums
Museums |
https://en.wikipedia.org/wiki/Hideshi%20Miyake | was a Japanese Nippon Professional Baseball third baseman and second baseman. He played for the Osaka/Hanshin Tigers from 1953 to 1967.
External links
Career statistics and player information from Baseball-Reference
References
1934 births
2021 deaths
Japanese baseball players
Nippon Professional Baseball infielders
Osaka Tigers players
Hanshin Tigers players
Baseball people from Okayama Prefecture |
https://en.wikipedia.org/wiki/Alauddin%20Khalji%27s%20conquest%20of%20Ranthambore | {
"type": "FeatureCollection",
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"type": "Feature",
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"geometry": { "type": "Point", "coordinates": [76.4553456, 26.019058] }
},
{
"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Delhi" },
"geometry": { "type": "Point", "coordinates": [77.2273958, 28.661898] }
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}
In 1301, Alauddin Khalji, the ruler of the Delhi Sultanate in India, conquered the neighbouring kingdom of Ranastambhapura (modern Ranthambore).
Hammira, the Chahamana (Chauhan) king of Ranthambore, had granted asylum to some Mongol rebels from Delhi in 1299. He refused requests to either kill these rebels or hand them over to Alauddin, resulting in an invasion from Delhi. Hammira lost his general Bhimasimha to an army led by Alauddin's general Ulugh Khan, and his brother Bhoja defected to Alauddin some days later. After recovering from these initial reverses, Hammira's generals (including the Mongol rebels) defeated Ulugh Khan's army at a mountain pass near Ranthambore. Alauddin then dispatched his general Nusrat Khan to reinforce Ulugh Khan's army, but Nusrat Khan was killed while besieging the fort.
Alauddin then himself took control of the operations at Ranthambore. He ordered the construction of a mound to scale its walls. After a long siege, the defenders suffered from a famine and defections. Facing a desperate situation, in July 1301, Hammira and his loyal companions came out of the fort, and fought to death. His wives, daughters and other female relatives committed Jauhar (mass self-immolation). Alauddin captured the fort, and appointed Ulugh Khan as its governor.
Background
Ranthambore was reputed to be an impregnable fort, and Alauddin's predecessor Jalaluddin had made an unsuccessful attempt to capture it in 1291.
In 1299, Alauddin Khalji sent his generals Nusrat Khan and Ulugh Khan to capture Gujarat. This army included several Mongol soldiers (also called Mughals or neo-Muslims), who had converted to Islam recently. When the army was returning to Delhi after its successful campaign, some of the Mongols staged a mutiny against the generals, near Jalore. The mutiny was crushed, and the army returned to Delhi. Two rebel Mongol leaders — Muhammad Shah and Kabhru — managed to escape with some of their followers. Hammira of Ranthambore (called Hamir Dev in Muslim chronicles) granted asylum to these Mongol fugitives.
Ulugh Khan was the governor of Bayana near Ranthambore. After returning to Bayana from Delhi, he sent messengers to Hammira, urging him to kill the Mongol fugitives as a friendly ruler. He also threatened to wage a war against Hammira, if this request was not complied with. Hammira's counsellors advised him not to endanger his kingdom, and comply. However, Hammira refused to do so. He replied to Ulugh Khan that he had no desire to start a conflict, but he would not give up the refugees who had sought his asylum. He added t |
https://en.wikipedia.org/wiki/Unorganized%20Division%20No.%2017%2C%20Manitoba | Division No. 17, Unorganized is a Statistics Canada census subdivision of its Division No. 17, Manitoba, that consists of a part of the division that is not organized into either incorporated municipalities or Indian reserves.
Geography
According to Statistics Canada, the census subdivision has a population of 101 (in 2011) and an area of 2,169.59 km2.
See also
Riding Mountain National Park
References
Unorganized areas in Manitoba
Populated places in Parkland Region, Manitoba |
https://en.wikipedia.org/wiki/Carlos%20Kenig | Carlos Eduardo Kenig (born November 25, 1953) is an Argentine-American mathematician and Louis Block Distinguished Service Professor in the Department of Mathematics at the University of Chicago. He is known for his work in harmonic analysis and partial differential equations.
He was President of the International Mathematical Union between 2019 and 2022.
Career
Kenig obtained his PhD at the University of Chicago in 1978 under the supervision of Alberto Calderón. Since then, he has held positions at Princeton University and the University of Minnesota before returning to the University of Chicago in 1985. He has done extensive work in elliptic and dispersive partial differential equations. He is a member of the National Academy of Sciences since 2014. His students include Zhongwei Shen, Kin Ming Hui, Gigliola Staffilani and Panagiota Daskalopoulos.
Awards and honors
Salem Prize, 1984
Invited speaker, 1986 International Congress of Mathematicians (and 2002)
Elected Fellow of the American Academy of Arts and Sciences, 2002
Bôcher Memorial Prize, 2008
Plenary speaker, 2010 International Congress of Mathematicians
Elected Member of the National Academy of Sciences, 2014
Kenig was elected President of the International Mathematical Union in July 2018.
References
External links
Homepage at the University of Chicago
20th-century American mathematicians
21st-century American mathematicians
University of Chicago faculty
University of Chicago alumni
1953 births
Living people
Fellows of the American Academy of Arts and Sciences
Fellows of the American Mathematical Society
Members of the United States National Academy of Sciences
Argentine mathematicians
20th-century Argentine mathematicians
Argentine emigrants to the United States
People from Buenos Aires
Presidents of the International Mathematical Union |
https://en.wikipedia.org/wiki/Maths%20Pathway | Maths Pathway is an online educational website based in Melbourne, used in Australian schools to teach mathematics. It differs from traditional mathematics, as it is set up in a modular format, with students working on individual pieces of learning on a computer and worksheet. These tests are read on a laptop, and written on paper.
History
Maths Pathway was created in 2015 by Richard Wilson and Justin Matthys, who were concerned about a student decline in mathematics skills. The development started as a small website headquartered in a shed in Matthys' lawn. According to the website, it is featured in over 250 schools and used by 57,000 students.
Features
Maths Pathway uses a modular format where students select their work based on what proficiency level they are at, as opposed to every student completing the same tasks. Students are then required to be tested on what they have learned every fortnight. To use Maths Pathway, schools must pay a hefty fee for each student.
Criticism
Maths Pathway has been criticised for the ease at which students can cheat, doable by simply clicking to check your answer, leading to students not learning the modules that the software believes that they have learnt. At the beginning of 2023, in an effort to stop cheating, Maths Pathway launched a large update, which added Entrance Tickets, to review maths before you learn it, Exit Tickets, to prove that you learnt the module, and added a timer requiring questions to be answered after 5 seconds, to "ensure" that the student writes down their working, however this does not work as well as thought, as the student can still skip through modules, just slower.
References
External links
Educational math software
Australian companies established in 2015
Internet properties established in 2015
Australian educational websites
Online companies of Australia
Privately held companies of Australia
Companies based in Melbourne
Education companies of Australia
B Lab-certified corporations in Australia |
https://en.wikipedia.org/wiki/Miguel%20Abreu | Miguel Ângelo Danif Carvalho Abreu (born 1 October 1993) is a Portuguese professional footballer who plays for Cypriot club Onisilos Sotira as a midfielder.
Career statistics
Club
References
External links
Portuguese League profile
1993 births
Living people
People from Seixal
Portuguese men's footballers
Men's association football midfielders
Amora F.C. players
C.F. Os Armacenenses players
Gil Vicente F.C. players
F.C. Arouca players
Onisilos Sotira players
Liga Portugal 2 players
Campeonato de Portugal (league) players
Portuguese expatriate men's footballers
Expatriate men's footballers in Cyprus
Portuguese expatriate sportspeople in Cyprus
Footballers from Setúbal District |
https://en.wikipedia.org/wiki/Torgil%20%C3%98wre%20Gjertsen | Torgil Øwre Gjertsen (born 12 March 1992) is a Norwegian football player currently playing as a striker for OBOS-ligaen club Kristiansund.
Career statistics
References
1992 births
Living people
Footballers from Trondheim
Norwegian men's footballers
Ranheim Fotball players
Norwegian First Division players
Kristiansund BK players
Wisła Płock players
Eliteserien players
Ekstraklasa players
Expatriate men's footballers in Poland
Men's association football forwards |
https://en.wikipedia.org/wiki/Gloria%20Olive | Gloria Olive (8 June 1923 – 17 April 2006) was a New Zealand academic mathematician.
Academic career
Olive began her mathematics career in the United States. She graduated with a BA from Brooklyn College in 1944 followed by an MA from the University of Wisconsin in 1946 and a PhD from the University of Oregon in 1950, with the dissertation Generalised Powers.
In 1972 she took up a teaching position at the University of Otago. She became Senior Lecturer in Mathematics. She retired in December 1988 and died in Dunedin in 2006.
Contributions
Olive was one of a small group of approximately 7 women who established the precursor group to the Association for Women in Mathematics.
She is the author of the book Mathematics for Liberal Arts Students (Macmillan, 1973).
She also published several papers on the "generalized powers" of her dissertation. These are formed from the Gaussian binomial coefficients in an analogous way to the expansion of powers by the binomial theorem. However, she was unable to prove her conjecture that the zeros of these polynomials all have unit magnitude.
References
Academic staff of the University of Otago
New Zealand women academics
New Zealand women mathematicians
1923 births
2006 deaths
Brooklyn College alumni
University of Wisconsin–Madison alumni
University of Oregon alumni
New Zealand writers
New Zealand women writers |
https://en.wikipedia.org/wiki/Helen%20Wily | Helen Mary Wily (née Harrison, 27 April 1921 – 12 September 2009) was a New Zealand statistician and mathematician. With Sharleen Forbes she ran the first session on gender issues in statistics education, at the third International Conference on Teaching Statistics held in 1990 at the University of Otago. She was a strong advocate of equal pay issues in the public service. She was very involved with the Christchurch branch of the New Zealand Federation of Graduate Women.
In the 1988 New Year Honours, Wily was awarded the Queen's Service Medal for public services.
Academic career
Wily taught mathematics at Rangi Ruru Girls' School then for ten years she trained students in teaching mathematics at Christchurch College of Education, then later moved to the Christchurch Polytechnic Institute of Technology.
Selected works
Wily published several works on women in mathematics.
References
1921 births
2009 deaths
New Zealand women academics
New Zealand women mathematicians
Recipients of the Queen's Service Medal |
https://en.wikipedia.org/wiki/Espen%20N%C3%A6ss%20Lund | Espen Næss Lund (born 7 May 1985) is a retired Norwegian football player.
In 2020 he started his manager career as head coach of Re FK.
Career statistics
References
1985 births
Living people
People from Re, Norway
Footballers from Tønsberg
Norwegian men's footballers
Vålerenga Fotball players
FK Tønsberg players
Sogndal Fotball players
Strømmen IF players
Kristiansund BK players
Norwegian First Division players
Eliteserien players
Norway men's youth international footballers
Men's association football defenders |
https://en.wikipedia.org/wiki/DragonBox | DragonBox is an educational game series developed and published by WeWantToKnow AS, a Norwegian studio. DragonBox Algebra was released on May 9, 2012 for iOS. It was created to teach children math, such as algebra.
The game won a 2016 Games For Change award for "Best Learning Game", and received positive reception from critics, who praised the efficacy of the app.
Gameplay
The game has five "worlds" with twenty levels each, and beating each level allows the dragons that the player possesses to grow into a new, more advanced form. To beat each level, the player must play a puzzle minigame in which they organize cards on two trays. While the cards are initially icons of various creatures and objects, the game uses them to abstractly demonstrate mathematical equations before later replacing them with variables and numbers. The player gets bonus stars if they complete the level in as few moves as possible, and with as few cards left as possible.
Development
The co-founder and CEO of the game's studio is Jean-Baptiste Huyhn, a former math teacher who was frustrated with the way math was taught in schools and wanted to teach it in a way that made more sense to children. He started the We Want to Know studio with the goal of making educational games that were actually fun to play. The game was programmed by Zoran Popovic, a computer scientist who also created the video game Foldit.
Reception
The game received positive reception from critics, with Jonathan H. Liu of Wired commenting on how his children "loved" the game despite its heavy mathematical focus. He stated that it "makes algebra so fun and easy to learn that my kids fight over who gets to play it". Stephanie Fogel of Gamasutra called the game something every developer should study, quoting Nicholas Fortugno saying the educational elements are "elegant and hidden, the way good educational games should be".
Ann Elliott of Edudemic called the game "intuitive" and user-friendly. Adam Renfro of Getting Smart called the game "a shining example [...] of what gamification should look like". Jordan Shapiro in Forbes said he was "astonished" at how quickly his son learned algebraic equations, and was blown away.
References
2012 video games
Android (operating system) games
IOS games
Mathematical education video games
Single-player video games
Video games developed in Norway
Educational software for macOS |
https://en.wikipedia.org/wiki/Joachim%20Soltvedt | Joachim Soltvedt (born 9 September 1995) is a Norwegian football player currently playing as a defender for Brann.
Career statistics
References
1995 births
Living people
Footballers from Bergen
Norwegian men's footballers
SK Brann players
Åsane Fotball players
Sogndal Fotball players
Sarpsborg 08 FF players
Norwegian First Division players
Eliteserien players
Men's association football midfielders |
https://en.wikipedia.org/wiki/KK%20Crvena%20zvezda%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Crvena zvezda. Crvena zvezda is a Serbian men's professional basketball team currently playing in the ABA League, the EuroLeague and in the Basketball League of Serbia.
Overview
Note: Statistics are correct through the end of the 2017–18 season.
Honours
Total titles: 44
Source: Crvena zvezda
Other tournaments
Magenta SportCup
Winner (1): 2021
Individual awards and accomplishments
Naismith Memorial Basketball Hall of Fame
FIBA Hall of Fame
FIBA Order of Merit recipients
FIBA's 50 Greatest Players
50 Greatest EuroLeague Contributors
Other player nominees: Zoran Slavnić
Other coaching nominees: Ranko Žeravica, Svetislav Pešić
European Competitions
All-EuroLeague First Team
Boban Marjanović – 2015
All-EuroLeague Second Team
Quincy Miller – 2016
EuroLeague MVP of the Month
Ognjen Kuzmić – January 2017
Luca Vildoza – December 2022
EuroLeague MVP of the Round
DeMarcus Nelson – 2013–14
Boban Marjanović – 2013–14, 2014–15 (3×)
Maik Zirbes – 2015–16
James Feldeine – 2017–18
Jordan Loyd – 2020–21
Filip Petrušev – 2022–23
FIBA European Cup Winners' Cup Finals Top Scorer
Dragan Kapičić – 1974
Zoran Slavnić – 1975
ULEB Cup regular season MVP
Milan Gurović – 2007
ULEB Cup MVP of the Round
Milan Gurović – 2007 (3×)
Mike Taylor – 2010
ULEB Cup Top Scorer
Milan Gurović – 2007
All-EuroCup First Team
DeMarcus Nelson – 2014
Adriatic Competitions
ABA League MVP
Milan Gurović – 2007
Tadija Dragićević – 2008
Nikola Kalinić – 2022
ABA League Finals MVP
Raško Katić – 2013
Boban Marjanović – 2015
Stefan Jović – 2016
Charles Jenkins – 2017
Billy Baron – 2019
Landry Nnoko – 2021
Ognjen Dobrić – 2022
ABA League Top Scorer
Igor Rakočević – 2004
Milan Gurović – 2007
Tadija Dragićević – 2008
Best Defender
Branko Lazić – 2021, 2022
Coach of the Season
Dejan Radonjić – 2014, 2015
ABA League Player of the Month Award
Boban Marjanović – November 2014
Maik Zirbes – February 2016
Milko Bjelica – November 2017
Luca Vildoza – October 2022
ABA League Ideal Starting Five
DeMarcus Nelson – 2014
Boban Marjanović – 2014, 2015
Maik Zirbes – 2016
Stefan Jović – 2017
Charles Jenkins – 2017
Marko Simonović – 2017
Taylor Rochestie – 2018
Joe Ragland – 2019
Stratos Perperoglou – 2019
Jordan Loyd – 2021
Nikola Kalinić – 2022
ABA Super Cup MVP
Mouhammad Faye – 2018
National Competitions
Yugoslavia
Yugoslav League Top Scorer
Milan Bjegojević – 1953
Borislav Ćurčić – 1955
Branko Radović – 1959
Vladimir Cvetković – 1966, 1967
Boban Janković – 1992
Serbia and Montenegro
YUBA League MVP
Nebojša Ilić – 1993
Mileta Lisica – 1994
YUBA League Most Improved Player
Igor Rakočević – 1998
YUBA League Young MVP
Predrag Stojaković – 1993
Serbia
BLS Super League MVP
Boban Marjanović – 2014, 2015
BLS Finals MVP
Milan Gurović – 2007
Omar Thomas – 2012
Maik Zirbes – 2016
Ognjen Dobrić – 2017, 2021
Alen Omić – 2018
Nik |
https://en.wikipedia.org/wiki/Barbara%20Wohlmuth | Barbara I. Wohlmuth is a German mathematician specializing in the numerical solution of partial differential equations. She holds the chair of numerical mathematics at the Technical University of Munich (TUM).
Education and career
Wohlmuth earned a master's degree in mathematics in 1991 from Joseph Fourier University in France, and a diploma in 1992 from TUM.
She completed a doctorate at TUM in 1995, under the supervision of Ronald Hoppe, and earned her habilitation in 2000 at the University of Augsburg.
She worked as a full professor at the University of Stuttgart from 2001 until 2010, when she returned to TUM.
Recognition
In 2005, the Istituto Lombardo Accademia di Scienze e Lettere in Milan gave her their International Giovanni Sacchi Landriani Prize. She won the Gottfried Wilhelm Leibniz Prize of the Deutsche Forschungsgemeinschaft in 2012. In 2013 she was elected to the Bavarian Academy of Sciences and Humanities. In 2020 she was named a SIAM Fellow "for sustained seminal contributions to the field of numerical mathematics and for exemplary leadership and service to the computational science community". She was elected to the German National Academy of Sciences Leopoldina in 2022.
She was the Emmy Noether Lecturer of the German Mathematical Society in 2014, and an invited speaker on numerical analysis and scientific computing at the 2018 International Congress of Mathematicians.
References
External links
Year of birth missing (living people)
Living people
20th-century German mathematicians
German women mathematicians
Technical University of Munich alumni
Academic staff of the Technical University of Munich
21st-century German mathematicians
Fellows of the Society for Industrial and Applied Mathematics
20th-century German women
21st-century German women |
https://en.wikipedia.org/wiki/Christine%20Riedtmann | Christine Riedtmann (born 1952) is a Swiss mathematician specializing in abstract algebra. She earned her PhD in 1978 from the University of Zurich under the supervision of Pierre Gabriel, and is a professor emeritus (since 2016) at the University of Bern.
In 2012–2013 she was president of the Swiss Mathematical Society.
Selected publications
References
Further reading
Interview with Riedtmann in the Berner Zeitung, February 19, 2015 (in German)
1952 births
Living people
20th-century Swiss mathematicians
21st-century Swiss mathematicians
Algebraists
Swiss women mathematicians
University of Zurich alumni
Academic staff of the University of Bern |
https://en.wikipedia.org/wiki/Dion%20Harris | Dion Harris (born April 27, 1985) is an American former professional basketball player for the Akita Northern Happinets of the Japanese bj league.
High School Special Event statistics
|-
| style="text-align:left;"| 2003
| style="text-align:left;"| Jordan Classic
| 1 || || 22.0 || .556 || .500 || .500|| 7.0 ||2.0 || 2.0 ||0.0 || 14.0
|-
Prep/High School Awards & Honors
Parade All-American Second Team – 2003
Michigan Mr. Basketball – 2003
College statistics
|-
| style="text-align:left;"| 2003–04
| style="text-align:left;"| Michigan
| 34 || 11 || 28.1 || .393 || .341 || .772|| 2.2 ||2.2 || 1.0 ||0.1 || 10.1
|-
| style="text-align:left;"| 2004–05
| style="text-align:left;"| Michigan
| 31 || 30 || 36.5 || .365 || .333 || .755|| 2.8 ||3.5 || 1.1 || 0.2 || 14.3
|-
| style="text-align:left;"| 2005–06
| style="text-align:left;"| Michigan
| 31 || 23 || 31.2 || .403 || .390 || .821|| 2.9 ||2.8 || 0.69|| 0.1 || 11.1
|-
| style="text-align:left;"| 2006–07
| style="text-align:left;"| Michigan
| 35 || 33 || 32.8 || .375 || .358 || .858|| 2.1 ||3.6 || 1.1 || 0.1 || 13.4
|-
|- class="sortbottom"
! style="text-align:center;" colspan=2| Career
! 131 || 97 || 32.1 || .382 || .355 || .804 || 2.5 ||3.0 ||1.0 || 0.1 || 12.2
NCAA Awards & Honors
All-Big Ten Third Team (Coaches) – 2007
All-Big Ten Honorable Mention (Coaches) – 2005
All-Big Ten Third Team (Media) – 2007
All-Big Ten Honorable Mention (Media) – 2005
All-Big Ten Freshman Team – 2004
Career statistics
Regular season
|-
| align="left" | 2007–08
| align="left" | Świecie
|24 || || 26.2 ||.360 || .329 ||.718 || 1.8 || 1.7 || 1.4||1.1 ||7.8
|-
| align="left" | 2011–12
| align="left" | TSV
|14 || || 31.9 ||.424 || .376 ||.892 || 2.7 || 2.1 || 0.6||0.3 ||16.2
|-
| align="left" | 2011–12
| align="left" | Gigantes
|2 || 1 || 24.9 ||.500 || .500 ||.000 || 3.00 || 1.50 || 1.00 ||0.00 ||10.0
|-
| align="left" | 2012–13
| align="left" | Akita
|51 || || 26.0 ||.375 || .313 ||.673 || 3.4 || 3.0 || 0.9 ||0.2 ||13.7
|-
| align="left" | 2014–15
| align="left" | Telecom
|18 || 16 || 30.7 ||.394 || .345 ||.808 ||4.22 || 2.17 || 0.56 ||0.22 ||18.22
|-
Playoffs
|-
|style="text-align:left;"|2007–08
|style="text-align:left;"|Swiecie
| 16 || || 13.3 || .321 || .308 || .667 || 0.9 || 0.8 || 0.4 || 0.6 || 1.6
|-
|style="text-align:left;"|2011–12
|style="text-align:left;"|TSV
| 3 || || 26.3 || .250 || .176 || .900 || 1.0 || 1.0 || 0.7 || 0.7 || 9.3
|-
References
External links
Akita vs Miyazaki
Dion Harris on Youtube
Michigan vs. Notre Dame: Dion Harris' NIT Game-Winner
1985 births
Living people
Akita Northern Happinets players
American expatriate basketball people in Colombia
American expatriate basketball people in Cyprus
American expatriate basketball people in Germany
American expatriate basketball people in Japan
American expatriate basketball people in Venezuela
Basketball players from Detroit
Michigan Wolverines men's basketball players
American men's basketball players
Guards (basketball |
https://en.wikipedia.org/wiki/Alem%C3%A3o%20%28footballer%2C%20born%20October%201990%29 | Fagner Ironi Daponte (born 18 October 1990, in Santo Ângelo), known as Alemão, is a Brazilian footballer who plays as defender for Operário-PR.
Career statistics
Honours
Avaí
Campeonato Catarinense: 2021
References
External links
1990 births
Living people
Brazilian men's footballers
Tanabi Esporte Clube players
Esporte Clube Internacional (SC) players
Clube Atlético Hermann Aichinger players
Grêmio Esportivo Juventus players
Associação Chapecoense de Futebol players
Operário Ferroviário Esporte Clube players
Brusque Futebol Clube players
Avaí FC players
Al-Hazem F.C. players
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Saudi Pro League players
Expatriate men's footballers in Saudi Arabia
Brazilian expatriate sportspeople in Saudi Arabia
Men's association football fullbacks
People from Santo Ângelo |
https://en.wikipedia.org/wiki/Cubical%20complex | In mathematics, a cubical complex (also called cubical set and Cartesian complex) is a set composed of points, line segments, squares, cubes, and their n-dimensional counterparts. They are used analogously to simplicial complexes and CW complexes in the computation of the homology of topological spaces.
Definitions
An elementary interval is a subset of the form
for some . An elementary cube is the finite product of elementary intervals, i.e.
where are elementary intervals. Equivalently, an elementary cube is any translate of a unit cube embedded in Euclidean space (for some with ). A set is a cubical complex (or cubical set) if it can be written as a union of elementary cubes (or possibly, is homeomorphic to such a set).
Related terminology
Elementary intervals of length 0 (containing a single point) are called degenerate, while those of length 1 are nondegenerate. The dimension of a cube is the number of nondegenerate intervals in , denoted . The dimension of a cubical complex is the largest dimension of any cube in .
If and are elementary cubes and , then is a face of . If is a face of and , then is a proper face of . If is a face of and , then is a facet or primary face of .
Algebraic topology
In algebraic topology, cubical complexes are often useful for concrete calculations. In particular, there is a definition of homology for cubical complexes that coincides with the singular homology, but is computable.
See also
Simplicial complex
Simplicial homology
Abstract cell complex
References
Cubes
Topological spaces
Algebraic topology
Computational topology |
https://en.wikipedia.org/wiki/Jhoan%20Arenas | Jhoan Manuel Arenas Delgado is a Colombian footballer who currently plays for Cúcuta Deportivo, after having played extensively in Colombia and Venezuela.
Career statistics
Club
References
1990 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football midfielders
Venezuelan Primera División players
Kazakhstan Premier League players
FC Akzhayik players
Independiente Medellín footballers
Cúcuta Deportivo footballers
Deportivo La Guaira players
Zamora FC players
Estudiantes de Mérida players
Academia Puerto Cabello players
Atlético Venezuela C.F. players
Expatriate men's footballers in Venezuela
Expatriate men's footballers in Kazakhstan
Colombian expatriate sportspeople in Venezuela
Colombian expatriate sportspeople in Kazakhstan
Sportspeople from Norte de Santander Department |
https://en.wikipedia.org/wiki/Jordan%20DeMercy | Jordan DeMercy (born July 9, 1988) is an American professional basketball player who played for the Akita Northern Happinets of the Japanese bj league.
College statistics
|-
| style="text-align:left;"| 2007–08
| style="text-align:left;"| Florida State
|31 || 0 || 9.7 ||.500 ||.300 || .200 || 1.45 ||0.52 ||0.48 ||0.16 || 1.39
|-
| style="text-align:left;"| 2008–09
| style="text-align:left;"| Florida State
|35 || 16 || 19.7 ||.375 ||.256 ||.581||2.57 ||1.71 || 0.77 || 0.34 || 3.06
|-
| style="text-align:left;"| 2009–10
| style="text-align:left;"|Florida State
| 21 || 0 || 14.2 || .419 || .214 || .821|| 2.14 || 0.67|| 0.86 || 0.29 || 3.71
|-
| style="text-align:left;"| 2010–11
| style="text-align:left;"| Georgetown KY
| || || || || |||| || || || ||
|-
|- class="sortbottom"
! style="text-align:center;" colspan=2| Career
!87 ||16 || 14.8 ||.412 || .254 ||.623 || 2.07 ||1.03 || 0.69 ||0.26 || 2.62
|-
Career statistics
|-
| align="left" | 2012–13
| align="left" | Akita
| 14 || || 16.1 || .617 || .556 || .500 || 4.7 || 1.6 || 1.3 || 0.6 || 8.9
|-
| align="left" | 2013–14
| align="left" | BAK
| 5 || 0 || 6.9 || .200 || .000 || .000 || 1.60 || 0.40 || 0.60 || 0.40 || 0.40
|-
| align="left" | 2015
| align="left" | Bucaros
| 15 || || 29.7 || .623 || .282 || .607 || 7.7 || 4.7 || 1.8 || 0.7 || 14.1
|-
External links
Jordan DeMercy-#21 White
Highlights
References
1988 births
Living people
Akita Northern Happinets players
American expatriate basketball people in Colombia
American expatriate basketball people in Japan
American men's basketball players
Bakersfield Jam players
Basketball players from Georgia (U.S. state)
Florida State Seminoles men's basketball players
Georgetown Tigers men's basketball players
Norcross High School alumni
Forwards (basketball)
Sportspeople from the Atlanta metropolitan area |
https://en.wikipedia.org/wiki/E.%20J.%20Drayton | E. J. Drayton (born December 13, 1982) is an American former professional basketball player for the Akita Northern Happinets of the Japanese bj league.
College statistics
|-
| style="text-align:left;"| 2003–04
| style="text-align:left;"| Colby
||| || || || |||| || || || ||
|-
| style="text-align:left;"| 2004–05
| style="text-align:left;"| Charlotte
|29 || 4 || 22.8 ||.367 ||.358 ||.779||4.62 ||1.24 || 0.52 || 0.21 || 8.66
|-
| style="text-align:left;"| 2005–06
| style="text-align:left;"|Charlotte
| 6 || 2 || 17.7 || .267 || .111 || .571|| 3.33 || 1.67|| 0.83 || 0.17 || 4.17
|-
| style="text-align:left;"| 2006–07
| style="text-align:left;"| Charlotte
| 30|| 30 || 33.6 ||.482 || .341 || .578 ||8.43 ||1.30 ||0.53 || 0.53 || 13.67
|-
|- class="sortbottom"
! style="text-align:center;" colspan=2| Career
!65 ||36 || 27.3 ||.425 || .333 ||.641 || 6.26||1.31 || 0.55 ||0.35 || 10.55
|-
Career statistics
Regular season
|-
| align="left" | 2008–09
| align="left" | Helsinki Seagulls
| 1 || || 31.0 || .455 || .500 || .750 || 8.0 || 1.0 || 2.0 || 0.0 || 17.0
|-
| align="left" | 2008–09
| align="left" | Porvoo
| 8 || || 31.6 || .485 || .286 || .794 || 9.4 || 0.5 || 0.8 || 0.3 || 18.8
|-
| align="left" | 2010–11
| align="left" | Nahariya
| 13 || || 28.6 || .448 || .238 || .682 || 7.4 || 1.1 || 0.7 || 0.8 || 11.1
|-
| align="left" | 2011–12
| align="left" | Akita
| 50 || 16 || 20.9 || .471 || .000 || .629 || 5.6 || 1.3 || 1.0 || 0.7 || 10.4
|-
Playoffs
|-
|style="text-align:left;"|2011–12
|style="text-align:left;"|Akita
| 4 || || 22.0 || .406 || .000 || .500 || 5.0 || 1.5 || 1.0 || 0.3 || 8.0
|-
External links
Charlotte bio
Akita vs Sendai
References
1982 births
Living people
Akita Northern Happinets players
American expatriate basketball people in Finland
American expatriate basketball people in France
American expatriate basketball people in Israel
American expatriate basketball people in Japan
American expatriate basketball people in Portugal
American expatriate basketball people in Uruguay
Basketball players from Charlotte, North Carolina
Charlotte 49ers men's basketball players
Ironi Nahariya players
Junior college men's basketball players in the United States
Torpan Pojat players
American men's basketball players
Forwards (basketball) |
https://en.wikipedia.org/wiki/Rafael%20Irizarry%20%28scientist%29 | Rafael Irizarry is a professor of biostatistics at the Harvard T.H. Chan School of Public Health and professor of biostatistics and computational biology at the Dana–Farber Cancer Institute. Irizarry is known as one of the founders of the Bioconductor project.
Education
Irizarry gained his Bachelor of Science in mathematics from the University of Puerto Rico at Río Piedras in 1993, followed by a Master of Arts degree from the University of California, Berkeley in 1994. He continued his studies at Berkeley, gaining a PhD in statistics in 1998. His PhD thesis explored the use of statistics to model harmonies in sound signals and was supervised by David R. Brillinger.
Research and career
Irizarry joined the Johns Hopkins Bloomberg School of Public Health in 1998, where his research focused on genomics and computational biology. He has worked on the analysis and processing of data arising from microarray experiments and helped develop the Robust Multiarray Analysis (RMA) method for microarray analysis in collaboration with statistician Terry Speed and colleagues; this method was later extended as the frozen RMA (fRMA) method. He has also worked on the analysis of next-generation sequencing data.
Irizarry is one of the founders of the Bioconductor project, an open-source and development software project for the analysis of genomic data in the R programming language. He has been involved in the development of several of the most used Bioconductor packages, including the 'affy' package for the analysis of Affymetrix microarray data.
Irizarry is the developer and instructor for the online Data Analysis for Life Sciences course on the Harvard University edX platform; this course enrolls over 30,000 students per year.
Awards and honors
2009 COPSS Presidents' Award in statistics.
2009 Mortimer Spiegelman Award from the American Public Health Association given to outstanding public health statisticians under the age of 40.
2017 Benjamin Franklin Award in Bioinformatics for his promotion of free and open-access materials and methods in the life sciences.
He was elected as a Fellow of the International Society for Computational Biology in 2020.
References
Year of birth missing (living people)
Living people
American bioinformaticians
University of Puerto Rico, Río Piedras Campus alumni
University of California, Berkeley alumni
Johns Hopkins Bloomberg School of Public Health faculty
Harvard T.H. Chan School of Public Health faculty
Fellows of the American Statistical Association
R (programming language) people |
https://en.wikipedia.org/wiki/Michael%20Gardener | Michael Gardener (born August 27, 1981) is an American former professional basketball player for the Akita Northern Happinets of the Japanese bj league.
College statistics
|-
| style="text-align:left;"| 2001–02
| style="text-align:left;"| Texas A&M
|14 ||11 || 24.1 ||.323 ||.190 || .667 ||2.5 ||2.6 || 1.2 ||0.0 ||6.9
|-
| style="text-align:left;"| 2002–03
| style="text-align:left;"| SE Louisiana
|22 || 8 || 22.0 ||.279 || .231 ||.515|| 2.50 ||3.32 || 0.95 || 0.05 || 3.36
|-
| style="text-align:left;"| 2003–04
| style="text-align:left;"|SE Louisiana
|28 || 28 || 34.0 ||.442 ||.388 ||.733||3.18 ||5.00 || 1.46 || 0.07 || 13.93
|-
|- class="sortbottom"
! style="text-align:center;" colspan=2| Career
!65 ||48 || 27.9 ||.397 || .323 ||.689 || 2.8 ||3.9 || 1.2 ||0.0 ||8.9
|-
Career statistics
|-
| align="left" | 2007–08
| align="left" | Fukuoka
| 42 || || 31.8 || .404 || .313 || .607 || 4.9 || 4.9 || 2.1 || 0.0 || 18.4
|-
| align="left" | 2008–09
| align="left" | Hamamatsu
| 52 || 52 || 32.5 || .411 || .344 || .730 || 5.4 || bgcolor="CFECEC"|6.5 || 2.3 || 0.1 ||25.5
|-
| align="left" | 2009–10
| align="left" | Takamatsu
| 44 || 42 || 36.7 || .369 || .290 || .669 || 5.6 || bgcolor="CFECEC"|7.0 || 1.7 || 0.1 || 21.3
|-
| align="left" | 2010–11
| align="left" | Cuxhaven
| 3 || || 30.7 || .432 || .467 || .692 || 2.7 || 4.0 || 0.7 || 0.3 || 16.0
|-
| align="left" | 2011–12
| align="left" | Akita
| 16 || 16 || 31 || .459 || .308 || .736 || 5.8 || 5.6 || 1.7 || 0 || 19.4
|-
References
1981 births
Living people
Akita Northern Happinets players
American expatriate basketball people in Japan
American expatriate basketball people in New Zealand
Basketball players from Michigan
Canterbury Rams players
Kagawa Five Arrows players
Rizing Zephyr Fukuoka players
San-en NeoPhoenix players
Southeastern Louisiana Lions basketball players
Texas A&M Aggies men's basketball players
American men's basketball players
Guards (basketball) |
https://en.wikipedia.org/wiki/Lionel%20Green | Lionel Green (born October 5, 1984) is an American former professional basketball player for the Akita Northern Happinets of the Japanese bj league.
Career statistics
Regular season
|-
| align="left" | 2011–12
| align="left" | Ura
| 16 || || 33.9 || .440 || .338 || .458 || 10.2 || 1.9 || 1.8 || 0.1|| 19.4
|-
| align="left" | 2011–12
| align="left" | Akita
| 23 || 8 || 13.3 || .398 || .273 || .259 || 3.4 || 1.2 || 0.6 || 0.1|| 5.0
|-
| align="left" style="background-color:#afe6ba; border: 1px solid gray" | 2012–13
| align="left" | Baerum Basket
| 9 || 9 || 29.4 || .448 || .273 || .579 || 8.89 || 2.33 || 1.78 || 0.78 || 16.22
|-
Playoffs
|-
|style="text-align:left;"|2010–11
|style="text-align:left;"|Akita
| 4 || || 16.3 || .308 || .259 || .600 || 3.5 || 1.0 || 1.5 || 0.0 || 8.5
|-
|style="text-align:left;"|2012–13
|style="text-align:left;"| Baerum
| 2 || || 34.5|| .308 || .000 || .417 || 9.5 || 1.5 || 2.5 || 0.5 || 10.5
|-
External links
Akita vs Sendai
Bio
References
1984 births
Living people
Akita Northern Happinets players
American expatriate basketball people in Finland
American expatriate basketball people in Japan
American expatriate basketball people in Norway
American men's basketball players
Basketball players from New Orleans
Northeastern Oklahoma A&M Golden Norsemen basketball players
Southern University at New Orleans alumni
Forwards (basketball) |
https://en.wikipedia.org/wiki/Alauddin%20Khalji%27s%20conquest%20of%20Malwa | {
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In 1305, the Delhi Sultanate ruler Alauddin Khalji sent an army to capture the Paramara kingdom of Malwa in central India. The Delhi army defeated and killed the powerful Paramara minister Goga, while the Paramara king Mahalakadeva took shelter in the Mandu fort. Alauddin appointed Ayn al-Mulk Multani as the governor of Malwa. After consolidating his power in Malwa, Ayn al-Mulk besieged Mandu and killed Mahalakadeva.
Background
The Paramara dynasty ruled the Malwa region in central India. By 1305, nearly all the Indian rulers to the north of Malwa had acknowledged Alauddin's suzerainty. The Paramara king Mahalakadeva was a weak ruler, and his prime minister (pradhan) Goga (called Koka in Muslim chronicles) was more powerful than him.
Goga's death
In 1305, Alauddin sent a cavalry to capture Malwa. It is not clear who commanded this army, but he might have been Ayn al-Mulk Multani, whom Alauddin later appointed as the governor of Malwa. According to the Delhi chronicler Amir Khusrau, the Delhi army comprised 10,000 soldiers, who had been selected specifically for the mission.
According to Khusrau, the Malwa army commanded by Goga comprised a 30,000-40,000 strong cavalry and an "innumerable" infantry. The later historians Yahya, Firishta, and Hajiuddabir state that the Malwa army comprised 40,000 cavalry and 100,000 infantry.
In the ensuing battle, the Delhi army emerged victorious. Khusrau states that the battlefield was "bloody with mud" as far as the human eye could see. Goga's horse was caught in a mire, and he was killed by arrows. His head was sent to Delhi, where it was trampled under the feet of horses at the palace gates.
Alauddin appointed Ayn al-Mulk as the governor of Malwa. Ayn al-Mulk raided the former Paramara capital Dhara, where he broke the Dhar iron pillar. The former Paramara vassals were forced to recognize Alauddin's suzerainty. These included the chiefs of the Ujjain, Dhar, and Chanderi cities. Ayn al-Mulk sent a detailed record of his success to Delhi, where a week-long celebration was held and sweets were distributed among public for the entire week.
Mahalakadeva's death
After the establishment of peaceful conditions in a large part of Malwa, Ayn al-Mulk marched to Mandu, where the Paramara king Mahalakadeva stayed. Mahalakadeva sent an army led by his son to fight the invaders. However, his son was killed on the battlefield, and his army was defeated. The Delhi army besieged Mandu, and managed to enter it, after one of Mahalakadeva's fort guards betrayed him. The guard told the invaders about a secret entrance to the for |
https://en.wikipedia.org/wiki/Siege%20of%20Siwana | {
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In 1308, the Delhi Sultanate ruler Alauddin Khalji captured the Siwana fort located in present-day Rajasthan, India.
Alauddin's forces had been besieging the fort for several past years, but had been unsuccessful in capturing it. In August–September 1308, Alauddin personally arrived from Delhi, and took charge of the operations at Siwana. The Delhi army breached the fort after a few months. Faced with a defeat, Sitala Deva, the ruler of the Siwana, tried to flee, but was captured and killed.
Background
At the beginning of the 14th century, the present-day Rajasthan had several small principalities centered around hill forts. Most of these principalities had acknowledged Alauddin's suzerainty after his conquest of the powerful Ranthambore (1301) and Chittor (1303) kingdoms. However, the forts of Siwana and Jalore, located in the south-west end of Rajasthan, remained independent. Siwana, located near the Thar Desert, was controlled by a Paramara chief named Sitala Deva (also called "Satal Deo" or "Sital Dev" in medieval chronicles). A number of local chiefs acknowledged his suzerainty.
According to the Delhi courtier Amir Khusrau's Dawal Rani, the Delhi army had been besieging the Siwana fort for 5–6 years without any success. The legendary poem Kanhadade Prabandha claims that on one occasion, the Jalore Chahamana ruler Kanhadadeva sent an army in Sitala Deva's aid. The joint force defeated the Delhi army, killing the invading commanders Nahar Malik and Khandadhara Bhoja.
Siege
In 1308, Alauddin decided to personally lead an expedition to Siwana. He started his march from Delhi on 2 July 1308, and took charge of the siege operations in Siwana in August–September 1308. The Delhi army surrounded the fort from all sides, with Alauddin leading the contingent stationed on the eastern side of the fort. Malik Kamal al-Din 'Gurg' (or Kamaluddin) was in-charge of the siege engines (munjaniqs).
The Delhi army tried to capture the fort using many methods, including a shower of arrows from the siege engines. For over three months, the defenders foiled their attempts, by throwing fire and stones at them. Meanwhile, the invaders had been constructing a pasheb, an inclined mound reaching up to the fort battlements. Once the mound was completed, Alauddin's army scaled the fort walls, and defeated the defenders after a full day of battle.
The Kanhadade Prabandha claims that Sitala Deva was betrayed by a man named Bhayala, with whose help Alauddin defiled the main water tank of Siwana with cows' blood. As the cows are sacred to Hindus, Siwana lost its main source |
https://en.wikipedia.org/wiki/Paul%20Butorac | Paul Butorac (born November 25, 1983) is an American former professional basketball player.
He currently coaches Lilac City Legends of the American Basketball Association (ABA) .
College statistics
|-
| style="text-align:left;"| 2003–04
| style="text-align:left;"| Eastern Washington
| 30 || 2 || 12.3 || .585 || .200 || .632|| 2.5 ||0.5 || 0.2 ||0.4 || 4.0
|-
| style="text-align:left;"| 2004–05
| style="text-align:left;"| Eastern Washington
| 26 || 2 || 15.9 || .516 || .333 || .653|| 3.0 ||0.7 || 0.2 || 0.3 || 5.1
|-
| style="text-align:left;"| 2005–06
| style="text-align:left;"| Eastern Washington
| 29 || 28 || 24.2 || .573 || .438 || .610|| 5.4 ||1.4 || 0.4 || 1.8 || 10.3
|-
| style="text-align:left;"| 2006–07
| style="text-align:left;"| Eastern Washington
| 28 || 28 || 28.0 || .640 || .238 || .585|| 6.7 ||1.7 || 0.5 || 1.0 || 14.4
|-
|- class="sortbottom"
! style="text-align:center;" colspan=2| Career
! 113 || 60 || 20.1 || .593 || .313 || .608 || 4.4 || 1.1 ||0.3 || 0.9 || 8.5
Career statistics
|-
| align="left" | 2007–08
| align="left" | Boulogne-sur-Mer
| 6|| ||20.3 || .441 || .286 ||.824 || 4.2 || 1.0 ||1.0 || 0.3 ||11.3
|-
| align="left" | 2007–08
| align="left" | Stal Ostrow Wielkopolski
| 2|| || 5.5 || .500 ||.000 ||.000 || 2.0 || 0.0 ||0.5 || 0.0 ||3.0
|-
| align="left" | 2007–08
| align="left" | Colorado 14ers
| 3||0 ||5.4 ||.333 ||.000 ||.000 || 0 || 0.67 || 0.0 || 0.0 ||0.67
|-
| align="left" | 2008–09
| align="left" | TTU/Kalev
| 6|| ||13.2 ||.483 ||.125 || .538 || 2.3 || 0.3 || 0.0||0.3 ||6.0
|-
| align="left" | 2008–09
| align="left" | Niigata
| 42 || 41 || 31.0 || .557 || .000 || .564 || 9.0 || 1.3 || 0.9 || 1.0 || 16.0
|-
| align="left" | 2010–11
| align="left" | Akita
| 42 || 39 || 26.4 || .541 || .143 || .548 || 7.7 || 1.2 || 0.3 || 0.5 || 14.4
|-
| align="left" | 2011–12
| align="left" | Takamatsu
| 44 || 43 || 33.3 || .423 || .233 || .644 || 8.0 || 1.4 || 0.4 || 0.4 || 17.3
|-
| align="left" | 2012–13
| align="left" | Yokohama
| 14 || || 19.3 || .520 || .409 || .679 || 4.6 || 0.5 || 0.1 || 0.4 || 10.5
|-
| align="left" | 2012–13
| align="left" | Toyota Tsusho
| || || || || || || || || || ||
|-
| align="left" | 2013–14
| align="left" | BC Yambol
| 8 || 5 || 24.1 ||.487 ||.263 || .529 ||5.62 || 0.75 ||0.38 ||0.62 || 11.00
|-
| align="left" | 2013–14
| align="left" | TGI D-Rise
| 16 || || 28.3 || .557 || .286 || .639 || 11.0 || 1.9 || 0.6 || 0.8 || 16.6
|-
| align="left" | 2014–15
| align="left" | Wakayama
|53 ||37 ||29.1 ||.418 ||.279 ||.643 ||7.4 ||1.7 ||0.5 ||0.5 ||15.0
|-
| align="left" | 2015–16
| align="left" | Saitama
| 14||7 ||20.7 ||.436 ||.279 ||.652 ||6.8 || 1.4||0.4 ||0.9 || 10.6
|-
| align="left" | 2015–16
| align="left" | Fubon Braves
|2 || 2 || ||.367 ||.273 ||.250 ||13.5 || 2 || 0 ||0.5 ||9.5
|-
| align="left" | 2015–16
| align="left" | Vampire
|4 || ||34.0 ||.316 ||.154 ||.600 ||7.5 || 1.8|| 0.3 ||2.3 ||9.0
|-
| align="left" | 201 |
https://en.wikipedia.org/wiki/Lia%20Bronsard | Lia Bronsard (b. 14 March 1963) is a Canadian mathematician and the former president of the Canadian Mathematical Society. She is a professor of mathematics at McMaster University.
Contributions
In her research, she has used geometric flows to model the interface dynamics of reaction–diffusion systems.
Other topics in her research include pattern formation, grain boundaries, and vortices in superfluids.
Education and career
Bronsard is originally from Québec. She did her undergraduate studies at the Université de Montréal, graduating in 1983,
and earned her PhD in 1988 from New York University under the supervision of Robert V. Kohn.
After short-term positions at Brown University, the Institute for Advanced Study, and Carnegie Mellon University, she moved to McMaster in 1992. She was president of the Canadian Mathematical Society for 2014–2016.
Recognition
Bronsard was the 2010 winner of the Krieger–Nelson Prize.
In 2018 the Canadian Mathematical Society listed her in their inaugural class of fellows.
Selected publications
References
External links
Home page
1963 births
Living people
Canadian mathematicians
Canadian women academics
Women mathematicians
Université de Montréal alumni
New York University alumni
Academic staff of McMaster University
Fellows of the Canadian Mathematical Society
Presidents of the Canadian Mathematical Society
Academics from Quebec |
https://en.wikipedia.org/wiki/Valeria%20Simoncini | Valeria Simoncini (born 1966) is an Italian researcher in numerical analysis who works as a professor in the mathematics department at the University of Bologna. Her research involves the computational solution of equations involving large matrices, and their applications in scientific computing. She is the chair of the SIAM Activity Group on Linear Algebra.
Education and career
Simoncini earned a degree from the University of Bologna in 1989, became a visiting scholar at the University of Illinois at Urbana–Champaign from 1991 to 1993, and completed her PhD at the University of Padua in 1994. After working at CNR from 1995 to 2000, she returned to Bologna as an associate professor in 2000, and was promoted to full professor in 2010.
Book
With Antonio Navarra, she is the author of the book A Guide to Empirical Orthogonal Functions for Climate Data Analysis (Springer, 2010).
Recognition
Simoncini was a second-place winner of the Leslie Fox Prize for Numerical Analysis in 1997.
In 2014 she was elected as a fellow of the Society for Industrial and Applied Mathematics "for contributions to numerical linear algebra".
She was named to the 2021 class of fellows of the American Mathematical Society "for contributions to computational mathematics, in particular to numerical linear algebra". In 2023, she was elected to serve on the SIAM Council.
References
External links
Home page
1966 births
Living people
Italian mathematicians
Women mathematicians
University of Bologna alumni
University of Padua alumni
Academic staff of the University of Bologna
Numerical analysts
Fellows of the Society for Industrial and Applied Mathematics
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Mary%20Lou%20Zeeman | Mary Lou Zeeman is a British mathematician at Bowdoin College in the US, where she is R. Wells Johnson Professor of Mathematics. She specializes in dynamical systems and their application to mathematical biology; she helped found the SIAM Activity Group on the Mathematics of Planet Earth, and co-directs the Mathematics and Climate Research Network.
Zeeman is the daughter of British mathematician Christopher Zeeman.
She was educated at the University of Oxford, and earned her PhD in 1989 from the University of California, Berkeley under the supervision of Morris Hirsch. Before moving to Bowdoin in 2006, she spent 15 years on the faculty of the University of Texas at San Antonio.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
British mathematicians
American women mathematicians
Theoretical biologists
Alumni of the University of Oxford
UC Berkeley College of Letters and Science alumni
University of Texas at San Antonio faculty
Bowdoin College faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Kazuhiro%20Shoji | is a current professional basketball Head coach for Ehime Orange Vikings of the Japanese B.League.
Career statistics
|-
| align="left" | 2005-06
| align="left" | Saitama
| 17 || 14 || 27.9 || .327 || .319 || .814 || 3.9 || 1.6 || 1.0 || 0.0 || 9.6
|-
| align="left" | 2006-07
| align="left" | Saitama
| 35 || 33 || 27.1 || .415 || bgcolor="CFECEC"|.444* || .709 || 1.8 || 1.9 || 0.7 || 0.1 || 9.9
|-
| align="left" | 2007-08
| align="left" | Saitama
| 44 || 38 || 25.5 || .377 || .379 || .816 || 2.1 || 2.1 || 0.3 || 0.1 || 7.8
|-
| align="left" | 2008-09
| align="left" | Saitama
| 52 || 28 || 18.9 || .428 || .408 || .747 || 1.5 || 1.2 || 0.3 || 0.1 || 5.9
|-
| align="left" | 2009-10
| align="left" | Takamatsu
| 50 || 20 || 17.7 || .324 || .277 || .806 || 1.7 || 0.4 || 0.4 || 0.1 || 4.0
|-
| align="left" | 2010-11
| align="left" | Akita
| 48 || 37 || 23.0 || .339 || .339 || .732 || 2.4 || 1.6 || 0.5 || 0.1 || 6.0
|-
| align="left" | 2011-12
| align="left" | Akita
| 52 || 52 || 31.3 || .413 || .383 || .730 || 3.1 || 1.3 || 1.1 || 0.1 || 7.5
|-
| align="left" | 2012-13
| align="left" | Akita
| 48 || || 22.0 || .417 || .433 || .872 || 2.0 || 1.0 || 0.6 || 0.1 || 4.8
|-
Head coaching record
|-
| style="text-align:left;"|Niigata Albirex BB
| style="text-align:left;"|2016-17
| 60||27||33|||| style="text-align:center;"|4th in Central|||-||-||-||
| style="text-align:center;"|
|-
| style="text-align:left;"|Niigata Albirex BB
| style="text-align:left;"|2017-18
| 60||28||32|||| style="text-align:center;"|3rd in Central|||-||-||-||
| style="text-align:center;"|
|-
| style="text-align:left;"|Niigata Albirex BB
| style="text-align:left;"|2018-19
| 60||45||15|||| style="text-align:center;"|1st in Central|||2||0||2||
| style="text-align:center;"|Lost in 1st round
|-
| style="text-align:left;"|Niigata Albirex BB
| style="text-align:left;"|2019-20
| 41||13||28|||| style="text-align:center;"|4th in Central|||-||-||-||
| style="text-align:center;"|-
|-
External links
Akita's Shoji video
USA vs Japan 2000
References
1974 births
Living people
Akita Northern Happinets players
Alvark Tokyo players
Japanese basketball coaches
Kagawa Five Arrows players
Niigata Albirex BB coaches
Niigata Albirex BB players
Rizing Zephyr Fukuoka players
Saitama Broncos players
Sportspeople from Saitama Prefecture |
https://en.wikipedia.org/wiki/Natural%20bundle | In mathematics, a natural bundle is any fiber bundle associated to the s-frame bundle for some . It turns out that its transition functions depend functionally on local changes of coordinates in the base manifold together with their partial derivatives up to order at most .
The concept of a natural bundle was introduced by Albert Nijenhuis as a modern reformulation of the classical concept of an arbitrary bundle of geometric objects.
An example of natural bundle (of first order) is the tangent bundle of a manifold .
Notes
References
Differential geometry
Manifolds
Fiber bundles |
https://en.wikipedia.org/wiki/2017%E2%80%9318%20Vit%C3%B3ria%20S.C.%20season | This article shows Vitória Sport Clube's player statistics and all matches that the club played during the 2017–18 season.
Players
Current squad
.
Pre-season and friendlies
Competitions
Supertaça Cândido de Oliveira
Primeira Liga
On 5 July 2017, Liga Portuguesa de Futebol Profissional announced nine stipulations for the Liga NOS fixture draw that took place on 7 July. Among previous conditions, two new were added, the two teams who will play the Supertaça could not play against Sporting CP (Portuguese team in the play-off round of Champions League) on the first two matchdays.
League table
Results by matchday
Matches
Taça de Portugal
Taça da Liga
Group C
UEFA Europa League
Group stage
References
External links
Official club website
Vitória S.C. seasons
Vitoria de Guimaraes
Vitoria de Guimaraes |
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