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https://en.wikipedia.org/wiki/Ko%20Shimura | is a Japanese footballer who plays for Omiya Ardija on loan from Giravanz Kitakyushu.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Mito HollyHock
Profile at Júbilo Iwata
1996 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
J1 League players
J2 League players
Júbilo Iwata players
Mito HollyHock players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Daiki%20Numa | is a Japanese footballer for Vonds Ichihara.
Club career
SV Horn
Numa signed for SV Horn in January 2019.
Club statistics
Updated to 23 February 2019.
References
External links
Daiki Numa on Instagram
Profile at Gainare Tottori
Profile at SV Horn
1997 births
Living people
Association football people from Osaka Prefecture
People from Neyagawa, Osaka
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
2. Liga (Austria) players
Kyoto Sanga FC players
Gainare Tottori players
Tegevajaro Miyazaki players
SV Horn players
Men's association football forwards
Japanese expatriate men's footballers
Expatriate men's footballers in Austria |
https://en.wikipedia.org/wiki/Yuki%20Kakita | is a Japanese professional footballer who plays as a forward for club Kashima Antlers.
Club statistics
References
External links
Profile at Kashima Antlers
1997 births
Living people
Association football people from Gunma Prefecture
Japanese men's footballers
Japan men's youth international footballers
J1 League players
J2 League players
Kashima Antlers players
Zweigen Kanazawa players
Tokushima Vortis players
Sagan Tosu players
Men's association football forwards |
https://en.wikipedia.org/wiki/Hayato%20Nukui | is a Japanese footballer who plays for SC Sagamihara from 2023.
Career
On 21 December 2022, Nukui joined to SC Sagamihara from 2023 season.
Club statistics
Updated to the end 2022 season.
References
External links
Profile at Cerezo Osaka
1996 births
Living people
Association football people from Osaka Prefecture
People from Takatsuki, Osaka
Japanese men's footballers
J2 League players
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
Tochigi SC players
Mito HollyHock players
Fujieda MYFC players
SC Sagamihara players
Suzuka Point Getters players
Men's association football defenders |
https://en.wikipedia.org/wiki/Mihai%20C%C4%83p%C4%83%C8%9B%C3%AEn%C4%83 | Mihai Cristian Căpățînă (born 16 December 1995) is a Romanian professional footballer who plays as a midfielder for Liga I club Universitatea Craiova.
Career statistics
Club
Honours
Voluntari
Cupa României: 2016–17
Supercupa României: 2017
Universitatea Craiova
Cupa României: 2020–21
Supercupa României: 2021
References
External links
1995 births
Living people
Footballers from Slatina, Romania
Romanian men's footballers
Men's association football midfielders
FC Olt Slatina players
Liga I players
Liga II players
FC Voluntari players
CS Universitatea Craiova players |
https://en.wikipedia.org/wiki/Khinchin%27s%20theorem%20on%20the%20factorization%20of%20distributions | Khinchin's theorem on the factorization of distributions says that every probability distribution P admits (in the convolution semi-group of probability distributions) a factorization
where P1 is a probability distribution without any indecomposable factor and P2 is a distribution that is either degenerate or is representable as the convolution of a finite or countable set of indecomposable distributions. The factorization is not unique, in general.
The theorem was proved by A. Ya. Khinchin for distributions on the line, and later it became clear that it is valid for distributions on considerably more general groups. A broad class (see) of topological semi-groups is known, including the convolution semi-group of distributions on the line, in which factorization theorems analogous to Khinchin's theorem are valid.
References
Theory of probability distributions |
https://en.wikipedia.org/wiki/Yoshiki%20Fujimoto | is a Japanese footballer who plays for Montedio Yamagata.
Career statistics
Club
Updated to the start of 2023 season.
References
External links
Profile at Fagiano Okayama
1994 births
Living people
Meiji University alumni
Association football people from Ehime Prefecture
Japanese men's footballers
J2 League players
Fagiano Okayama players
Ehime FC players
Men's association football forwards
Sportspeople from Matsuyama, Ehime |
https://en.wikipedia.org/wiki/Ippei%20Kokuryo | is a Japanese footballer who plays for Nagano Parceiro.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Nagano Parceiro
Profile at Kyoto Sanga FC
1993 births
Living people
Association football people from Shiga Prefecture
Japanese men's footballers
J2 League players
J3 League players
Japan Football League players
Kyoto Sanga FC players
SP Kyoto FC players
Reilac Shiga FC players
AC Nagano Parceiro players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Yuta%20Kamiya | is a Japanese professional footballer who plays as an attacking midfielder or a winger for J2 League club Shimizu S-Pulse.
Club statistics
.
References
External links
Profile at Shimizu S-Pulse
1997 births
Living people
Association football people from Yamagata Prefecture
Japanese men's footballers
J1 League players
J2 League players
Shonan Bellmare players
Ehime FC players
Kashiwa Reysol players
Shimizu S-Pulse players
Men's association football midfielders
Footballers at the 2018 Asian Games
Asian Games silver medalists for Japan
Asian Games medalists in football
Medalists at the 2018 Asian Games |
https://en.wikipedia.org/wiki/Daigo%20Araki | is a Japanese footballer who plays for Kyoto Sanga FC.
Club statistics
Updated to 19 February 2019.
References
External links
Profile at Júbilo Iwata
1994 births
Living people
Aoyama Gakuin University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J1 League players
J2 League players
Júbilo Iwata players
Kyoto Sanga FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Lucas%20R%C3%B6ser | Lucas Röser (born 28 December 1993) is a German professional footballer who plays as a forward for SSV Ulm.
Career statistics
References
External links
Living people
1993 births
Footballers from Ludwigshafen
German men's footballers
Men's association football forwards
2. Bundesliga players
3. Liga players
Regionalliga players
1. FSV Mainz 05 II players
TSG 1899 Hoffenheim II players
SG Sonnenhof Großaspach players
Dynamo Dresden players
1. FC Kaiserslautern players
Türkgücü München players
SSV Ulm 1846 players |
https://en.wikipedia.org/wiki/Tetsuya%20Yamaoka | is a Japanese footballer who plays for FC Kariya.
Club statistics
Updated to 23 February 2017.
References
External links
Profile at Kagoshima United FC
1990 births
Living people
Kokushikan University alumni
Association football people from Osaka Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
SP Kyoto FC players
Kagoshima United FC players
FC Kariya players
Men's association football goalkeepers |
https://en.wikipedia.org/wiki/Shion%20Inoue | is a Japanese footballer who plays as a winger for club Yokohama FC.
Club statistics
.
References
External links
Profile at Tokyo Verdy
1997 births
Living people
Association football people from Kanagawa Prefecture
Japanese men's footballers
J1 League players
J2 League players
Tokyo Verdy players
Vissel Kobe players
Yokohama FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Zhang%20Yong | Zhang Yong may refer to:
Jack Yung Chang (Zhang Yong) (1911–1939), Chinese historian of mathematics
Zhang Yong (politician) (born 1953), former director of the China Food and Drug Administration
Zhang Yong (agronomist) (born 1956), Chinese agronomist
Zhang Yong (restaurateur), Chinese billionaire restaurateur, founder of Haidilao
Daniel Zhang or Zhang Yong (born 1972), CEO of Alibaba Group
Zhang Yong (real estate developer), founder of Xinyuan Real Estate
Zhang Yong (snooker player) (born 1995), Chinese snooker player |
https://en.wikipedia.org/wiki/Kota%20Mori | is a Japanese footballer who plays for Fukushima United.
Club statistics
Updated to 2 January 2020.
References
External links
Profile at Ventforet Kofu
1997 births
Living people
People from Anjō
Association football people from Aichi Prefecture
Japanese men's footballers
J1 League players
J2 League players
Ventforet Kofu players
Renofa Yamaguchi FC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Yuma%20Kawamori | is a Japanese footballer who plays for Kagoshima United FC.
Club statistics
Updated to 23 February 2018.
References
External links
Profile at Kagoshima United FC
1993 births
Living people
Toyo University alumni
Association football people from Mie Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
Kagoshima United FC players
Suzuka Point Getters players
Azul Claro Numazu players
Men's association football forwards |
https://en.wikipedia.org/wiki/Yasuki%20Kimoto | is a Japanese professional footballer who plays as a centre back or a defensive midfielder for J1 League club FC Tokyo.
Club statistics
.
Honours
Nagoya Grampus
J.League Cup: 2021
References
External links
Profile at FC Tokyo
1993 births
Living people
Fukuoka University alumni
Association football people from Shizuoka Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
Nagoya Grampus players
FC Tokyo players
Men's association football midfielders
Universiade bronze medalists for Japan
Universiade medalists in football |
https://en.wikipedia.org/wiki/Abel%20elliptic%20functions | In mathematics Abel elliptic functions are a special kind of elliptic functions, that were established by the Norwegian mathematician Niels Henrik Abel. He published his paper "Recherches sur les Fonctions elliptiques" in Crelle's Journal in 1827. It was the first work on elliptic functions that was actually published. Abel's work on elliptic functions also influenced Jacobi's studies of elliptic functions, whose 1829 published book "Fundamenta nova theoriae functionum ellipticarum" became the standard work on elliptic functions.
History
Abels starting point were the elliptic integrals which had been studied in great detail by Adrien-Marie Legendre. He began his research in 1823 when he still was a student. In particular he viewed them as complex functions which at that time were still in their infancy. In the following years Abel continued to explore these functions. He also tried to generalize them to functions with even more periods, but seemed to be in no hurry to publish his results.
But in the beginning of the year 1827 he wrote together his first, long presentation Recherches sur les fonctions elliptiques of his discoveries. At the end of the same year he became aware of Carl Gustav Jacobi and his works on new transformations of elliptic integrals. Abel finishes then a second part of his article on elliptic functions and shows in an appendix how the transformation results of Jacobi would easily follow. When he then sees the next publication by Jacobi where he makes use of elliptic functions to prove his results without referring to Abel, the Norwegian mathematician finds himself to be in a struggle with Jacobi over priority. He finishes several new articles about related issues, now for the first time dating them, but dies less than a year later in 1829. In the meantime Jacobi completes his great work Fundamenta nova theoriae functionum ellipticarum on elliptic functions which appears the same year as a book. It ended up defining what would be the standard form of elliptic functions in the years that followed.
Derivation from elliptic Integrals
Consider the elliptic integral of the first kind in the following symmetric form:
with .
is an odd increasing function on the interval with the maximum:
That means is invertible: There exists a function such that , which is well-defined on the interval .
Like the function , it depends on the parameters and which can be expressed by writing .
Since is an odd function, is also an odd function which means .
By taking the derivative with respect to one gets:
which is an even function, i.e., .
Abel introduced the new functions
.
Thereby it holds that .
, and are the functions known as Abel elliptic functions. They can be continued using the addition theorems.
For example adding one gets:
.
Complex extension
can be continued onto purely imaginary numbers by introducing the substitution . One gets , where
.
is an increasing function on the interval with t |
https://en.wikipedia.org/wiki/The%20Mathematics%20of%20Murder%3A%20A%20Fearne%20%26%20Bracknell%20Collection | The Mathematics of Murder: A Fearne & Bracknell Collection, is a collection of mystery short stories by the prominent British thriller writer Michael Gilbert, first published in the United Kingdom by Robert Hale in 2000 when Gilbert was 88 years old but still an active writer. Gilbert, who was appointed CBE in 1980, was a founder-member of the British Crime Writers' Association. The Mystery Writers of America named him a Grand Master in 1988 and in 1990 he was presented Bouchercon's Lifetime Achievement Award.
The 14 stories in the book all revolve around one or more members of a small law firm of solicitors located in London in an area near the Tower called Little Bethel, "on the borderline between the City and the East End". The two senior partners are Francis Fearne and Robert Bracknell; the junior partners are their children, Tara Fearne and Hugo Bracknell. The senior partners are seldom seen outside their offices except for occasional visits to police stations or law courts. The younger partners, however, in addition to their more pedestrian legal activities are frequently engaged in investigations or inquiries outside London that sometimes put them into actual physical danger. The most important member of the firm in many ways, though, appears to be their managing clerk, an "old" bachelor named Horace Piggin. Affectionately called "Piggy", he is a font of bottomless experience, sage advice, and acquaintanceship with, apparently, nearly everyone in London, including policemen, criminals, and potential clients. It is Piggy who frequently either suggests to the partners or who actively finds a resolution to the legal problem they are grappling with. The firm's relations with the Metropolitan Police are distinctly mixed: they help each other out from time to time on certain cases, but Chief Inspector Mayburg, a recurring character, regards all solicitors as obstructive nuisances "and was particularly suspicious of Fearne & Bracknell who, it seemed to him, interfered in matters which ought to be left to the police."
A long-time solicitor in London (he once drafted Raymond Chandler's will), Gilbert's stories in this collection all concern some legal problem, frequently involving wills, as well as crimes of one kind or another. Murders or disappearances figure in some of them, including the lead story, The Mathematics of Murder, which features a serial killer who dispatches his victims on commuter trains going to and from London. They are written in a spare, straightforward style that occasionally approaches the light-hearted. Some of them, though, such as The Mathematics of Murder and Halfway House become increasing grim as the story progresses. And at least one of them, The Good Shepherd, besides having a distinctly dark side to it, also comes to a conclusion that is far from being a happy one.
When he heard the news, Bob Bracknell said to Francis Fearne, "Not really one of our successes."
"Not really," Fearne agreed.
A number of the |
https://en.wikipedia.org/wiki/Yuya%20Nakasaka | is a Japanese footballer who plays as an attacking midfielder or a winger for Vissel Kobe.
Club statistics
Updated to 19 February 2019.
References
External links
Profile at Vissel Kobe
1997 births
Living people
People from Tokushima (city)
Association football people from Tokushima Prefecture
Japanese men's footballers
J1 League players
J2 League players
Segunda División B players
CF Peralada players
Vissel Kobe players
Kyoto Sanga FC players
Men's association football midfielders
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Spain
Expatriate men's footballers in Spain |
https://en.wikipedia.org/wiki/Milan%20High%20School%20%28Tennessee%29 | Milan High school is a high school in Milan, Tennessee. The number of students is currently unknown. Students can enroll in dual-credit English and Mathematics courses to obtain a credit towards their college requirements.
Public high schools in Tennessee
Buildings and structures in Gibson County, Tennessee
Education in Gibson County, Tennessee |
https://en.wikipedia.org/wiki/2017%20Sydney%20Swans%20season | The 2017 AFL season was the 121st season in the Australian Football League contested by the Sydney Swans. The team's reserve side also participated in the 2017 NEAFL season.
Squad for 2017
Statistics are correct as of end of 2016 season.
Flags represent the state of origin, i.e. the state in which the player played his under 18 football.
For players: (c) denotes captain, (vc) denotes vice-captain, (lg) denotes leadership group.
For coaches: (s) denotes senior coach, (cs) denotes caretaker senior coach, (a) denotes assistant coach, (d) denotes development coach.
Playing list changes
The following summarises all player changes between the conclusion of the 2015 season and the beginning of the 2016 season.
In
Out
List management
Season summary
Pre-season matches
Home and away season
Finals matches
Ladder
Awards and records
VFL/AFL records
The Swans became the first team ever to make the finals after starting 0-6.
Bob Skilton Medal
The Bob Skilton Medal is an annual award presented to the club's best and fairest player throughout the season. It was given to Luke Parker for the 2017 season.
Rising Star Award: Lewis Melican
Dennis Carroll Trophy for Most Improved Player: George Hewett
Barry Round Shield for Best Clubman: Callum Sinclair
Paul Kelly Players’ Player: Josh Kennedy
Paul Roos Award for Best Player in a Finals Series: Heath Grundy & Kieren Jack
All-Australian Team
The 2017 All-Australian team included two Swans players in the initial 40-man squad, before naming just Lance Franklin in the final team.
Milestones
Debuts
1Had previously played for another club but played their first match for the Sydney Swans.
AFL Rising Star
Each round during the season a different eligible player is nominated for the annual award of AFL Rising Star, with a panel of experts voting on the nominated players at the end of the year. In 2017 two Swans players received nominations for the award.
22 Under 22 Team
The 22 Under 22 team is a selection of the best team of AFL players under the age of 22, as selected by fans in an online poll. Three Swans players were selected for the team in 2017.
Reserves
Regular season
Finals series
References
2017
2017 Australian Football League season
2017 in New South Wales |
https://en.wikipedia.org/wiki/1996%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 1996 Cricket World Cup.
Team statistics
Highest team totals
The following table lists the ten highest team scores during this tournament.[1]
Largest winning margin
By runs
By wickets
By balls remaining
Lowest team totals
This is a list of completed innings only, low totals in matches with reduced overs are omitted except when the team was all out. Successful run chases in the second innings are not counted.
Smallest winning margin
By runs
By wickets
By balls remaining
Individual statistics
Batting statistics
Most runs
The top ten highest run scorers (total runs) in the tournament are included in this table.[2]
Highest scores
This table contains the top ten highest scores of the tournament made by a batsman in a single innings.[3]
Most boundaries
Bowling statistics
Most wickets
The following table contains the ten leading wicket-takers of the tournament.[6]
Best bowling figures
This table lists the top ten players with the best bowling figures in the tournament.[7]
Most maidens
Fielding statistics
Most dismissals
This is a list of the wicket keepers who have made the most dismissals in the tournament.[8]
Most catches
This is a list of the outfielders who have taken the most catches in the tournament.
Other Statistics
Highest partnerships
The following tables are lists of the highest partnerships for the tournament.[4][5]
References
1996 Cricket World Cup
Cricket World Cup statistics |
https://en.wikipedia.org/wiki/1999%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 1999 Cricket World Cup.
Team Statistics
Highest team totals
The following table lists the ten highest team scores during this tournament.
Largest winning margin
By runs
By wickets
By balls remaining
Lowest team totals
This is a list of completed innings only, low totals in matches with reduced overs are omitted except when the team was all out. Successful run chases in the second innings are not counted.
Smallest winning margin
By runs
By wickets
By balls remaining
Individual statistics
Batting statistics
Most runs
The top ten highest run scorers (total runs) in the tournament are included in this table.
Highest scores
This table contains the top ten highest scores of the tournament made by a batsman in a single innings.
Most boundaries
Bowling statistics
Most wickets
The following table contains the ten leading wicket-takers of the tournament.
Best bowling figures
This table lists the top ten players with the best bowling figures in the tournament.
Most maidens
Hat-tricks
Fielding statistics
Most dismissals
This is a list of the wicketkeepers who have made the most dismissals in the tournament.
Most catches
This is a list of the outfielders who have taken the most catches in the tournament.
Other Statistics
Highest partnerships
The following tables are lists of the highest partnerships for the tournament.
References
1999 Cricket World Cup
Cricket World Cup statistics |
https://en.wikipedia.org/wiki/Estonia%20national%20football%20team%20records%20and%20statistics | The following is a list of the Estonia national football team's competitive records and statistics.
Individual records
Player records
Players in bold are still active with Estonia.
Most appearances
Top goalscorers
Manager records
Team records
Competition records
FIFA World Cup
Draws include knockout matches decided via penalty shoot-out.
UEFA European Championship
Draws include knockout matches decided via penalty shoot-out.
UEFA Nations League
Olympic Games
Estonia's only participation in a major tournament was at the 1924 Summer Olympics in Paris, France. Coached by Hungarian Ferenc Kónya, Estonia's participation was limited to a single match in the first round as the team lost 0–1 to the United States, with Andy Straden scoring the winning goal from the penalty spot in the 15th minute. Estonia were also given a penalty and a chance to equalise, but Elmar Kaljot's effort struck the crossbar in the 68th minute. After going out of the tournament, the Estonian team stayed on in Paris for three weeks, playing a friendly match against Ireland, which ended in a 1–3 defeat, and then went to Germany, playing friendly matches against various teams including a 2–2 draw against 1. FC Kaiserslautern.
Baltic Cup
Milestones
First World Cup qualification game: 11 June 1933, Stockholm, Sweden (6–2 loss) (first FIFA World Cup qualification match in history);
First World Cup victory and also first away win: 19 August 1937, Turku, Finland (1–0);
First European Championship qualifying game: 4 September 1994, Tallinn, Croatia (2–0 loss);
First World Cup victory since return to independence: 5 October 1996, Tallinn, Belarus (1–0);
First European Championship victory: 4 June 1998, Tallinn, Faroe Islands (5–0);
First away win in the European Championship: 31 March 1999, Vilnius, Lithuania (2–1).
Head-to-head record
The following table shows the Estonia national football team's all-time international record.
Updated as of 10 September 2023.
See also
Estonia national football team
Estonia national football team results (1920–1940)
Estonia national football team results (1991–2009)
Estonia national football team results (2010–2019)
Estonia national football team results (2020–present)
References
External links
Official website
RSSSF archive of results since 1920
Estonia national football team
National association football team records and statistics |
https://en.wikipedia.org/wiki/Homological%20stability | In mathematics, homological stability is any of a number of theorems asserting that the group homology of a series of groups is stable, i.e.,
is independent of n when n is large enough (depending on i). The smallest n such that the maps is an isomorphism is referred to as the stable range.
The concept of homological stability was pioneered by Daniel Quillen whose proof technique has been adapted in various situations.
Examples
Examples of such groups include the following:
Applications
In some cases, the homology of the group
can be computed by other means or is related to other data. For example, the Barratt–Priddy theorem relates the homology of the infinite symmetric group agrees with mapping spaces of spheres. This can also be stated as a relation between the plus construction of and the sphere spectrum. In a similar vein, the homology of is related, via the +-construction, to the algebraic K-theory of R.
References
Algebraic topology
Algebraic K-theory |
https://en.wikipedia.org/wiki/Csaba%20Szatm%C3%A1ri%20%28footballer%2C%20born%201994%29 | Csaba Szatmári (born 14 June 1994) is a Hungarian football defender who plays for NB II club Diósgyőr.
Career statistics
Club
External links
Debrecen profile
1994 births
Footballers from Debrecen
Living people
People from Debrecen
Hungarian men's footballers
Men's association football defenders
Debreceni VSC players
Létavértes SC players
Balmazújvárosi FC players
Diósgyőri VTK players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/ProbOnto | ProbOnto is a knowledge base and ontology of probability distributions. ProbOnto 2.5 (released on January 16, 2017) contains over 150 uni- and multivariate distributions and alternative parameterizations, more than 220 relationships and re-parameterization formulas, supporting also the encoding of empirical and univariate mixture distributions.
Introduction
ProbOnto was initially designed to facilitate the encoding of nonlinear-mixed effect models and their annotation in Pharmacometrics Markup Language (PharmML) developed by DDMoRe, an Innovative Medicines Initiative project. However, ProbOnto, due to its generic structure can be applied in other platforms and modeling tools for encoding and annotation of diverse models applicable to discrete (e.g. count, categorical and time-to-event) and continuous data.
Knowledge base
The knowledge base stores for each distribution:
Probability density or mass functions and where available cumulative distribution, hazard and survival functions.
Related quantities such as mean, median, mode and variance.
Parameter and support/range definitions and distribution type.
LaTeX and R code for mathematical functions.
Model definition and references.
Relationships
ProbOnto stores in Version 2.5 over 220 relationships between univariate distributions with re-parameterizations as a special case, see figure. While this form of relationships is often neglected in literature, and the authors concentrate one a particular form for each distribution, they are crucial from the interoperability point of view. ProbOnto focuses on this aspect and features more than 15 distributions with alternative parameterizations.
Alternative parameterizations
Many distributions are defined with mathematically equivalent but algebraically different formulas. This leads to issues when exchanging models between software tools. The following examples illustrate that.
Normal distribution
Normal distribution can be defined in at least three ways
Normal1(μ,σ) with mean, μ, and standard deviation, σ
Normal2(μ,υ) with mean, μ, and variance, υ = σ^2 or
Normal3(μ,τ) with mean, μ, and precision, τ = 1/υ = 1/σ^2.
Re-parameterization formulas
The following formulas can be used to re-calculate the three different forms of the normal distribution (we use abbreviations i.e. instead of etc.)
Log-normal distribution
In the case of the log-normal distribution there are more options. This is due to the fact that it can be parameterized in terms of parameters on the natural and log scale, see figure.
The available forms in ProbOnto 2.0 are
LogNormal1(μ,σ) with mean, μ, and standard deviation, σ, both on the log-scale
LogNormal2(μ,υ) with mean, μ, and variance, υ, both on the log-scale
LogNormal3(m,σ) with median, m, on the natural scale and standard deviation, σ, on the log-scale
LogNormal4(m,cv) with median, m, and coefficient of variation, cv, both on the natural scale
LogNormal5(μ,τ) with mean, μ, and precision, τ, both |
https://en.wikipedia.org/wiki/Marion%20Scheepers | Marion Scheepers is a South African-born mathematician, lecturer and researcher in the Department of Mathematics of Boise State University in Boise, Idaho since 1988. He is particularly known for his work on selection principles and on infinite topological and set-theoretical games. He introduced themes that are common to many selection principles and is responsible for the Scheepers diagram.
Life
Scheepers was born in December 1957, in Thabazimbi, South Africa. He completed his Ph.D. thesis entitled The Meager-Nowhere Dense Game at the University of Kansas under the supervision of Fred Galvin. His research interests cover set theory and its relatives, game theory, cryptology, elementary number theory and algorithmic phenomena in biology. He was appointed Assistant Professor in the Department of Mathematics at Boise State University (BSU) in 1988 and promoted to Associate Professor in 1993. He has been Professor in the Department of Mathematics at BSU since 1996.
In 2016 he was part of a group at BSU that started an interdisciplinary course called Transdisciplinary Research Methods. In 2019 Scheepers was one of the coaches for BSU's elective Vertically Integrated Projects including Portable Secure Devices, a team aiming to develop methods to mitigate cyber-threats against active implantable medical devices.
Presently, Scheepers is studying biological encryption mechanisms in certain single-cell organisms in collaboration with researchers from the University of Witten-Herdecke in Germany, and the BSU Department of Biological Sciences. For this study, he has received grant funding from the National Science Foundation. The National Science Foundation has funded his research and curriculum activities on several occasions, including in 2005 for Crypto Systems in Ciliates
Recognition, awards, membership
2012 Distinguished Professor in Mathematics, Boise State University.
2014 BSU recognised Scheepers' 26 years of academic service.
2017 The conference Frontiers of Selection Principles at Cardinal Stefan Wyszyński University in Warsaw, Poland was dedicated to Scheepers.
Selected publications
References
External links
European Mathematical Information Service
Marion Scheepers publications at the American Mathematical Society
1957 births
Living people
South African mathematicians
University of Kansas alumni
Boise State University faculty |
https://en.wikipedia.org/wiki/Statistics%20Bureau%20%28Japan%29 | The is the statistical agency of Japan, subordinate to the Ministry of Internal Affairs and Communications.
Its headquarters is in the ministry's Second Government Office (第2庁舎), in , Shinjuku, Tokyo.
See also
Japan Statistical Society
References
External links
Statistics Bureau of Japan
Statistics Bureau of Japan
Government agencies of Japan
Japan |
https://en.wikipedia.org/wiki/Hockey-stick%20identity | In combinatorial mathematics, the hockey-stick identity, Christmas stocking identity, boomerang identity, Fermat's identity or Chu's Theorem, states that if are integers, then
The name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects (see hockey stick, Christmas stocking).
Formulations
Using sigma notation, the identity states
or equivalently, the mirror-image by the substitution :
Proofs
Generating function proof
We have
Let , and compare coefficients of .
Inductive and algebraic proofs
The inductive and algebraic proofs both make use of Pascal's identity:
Inductive proof
This identity can be proven by mathematical induction on .
Base case
Let ;
Inductive step
Suppose, for some ,
Then
Algebraic proof
We use a telescoping argument to simplify the computation of the sum:
Combinatorial proofs
Proof 1
Imagine that we are distributing indistinguishable candies to distinguishable children. By a direct application of the stars and bars method, there are
ways to do this. Alternatively, we can first give candies to the oldest child so that we are essentially giving candies to kids and again, with stars and bars and double counting, we have
which simplifies to the desired result by taking and , and noticing that :
Proof 2
We can form a committee of size from a group of people in
ways. Now we hand out the numbers to of the people. We can divide this into disjoint cases. In general, in case , , person is on the committee and persons are not on the committee. The rest of the committee can be chosen in
ways. Now we can sum the values of these disjoint cases, and using double counting we obtain
See also
Pascal's identity
Pascal's triangle
Leibniz triangle
Vandermonde's identity
Faulhaber's formula, for sums of arbitrary polynomials.
References
External links
On AOPS
On StackExchange, Mathematics
Pascal's Ladder on the Dyalog Chat Forum
Theorems in combinatorics
Mathematical identities
Articles containing proofs
Factorial and binomial topics |
https://en.wikipedia.org/wiki/Boaz%20Tsaban | Boaz Tsaban (born February 1973) is an Israeli mathematician on the faculty of Bar-Ilan University. His research interests include selection principles within set theory and nonabelian cryptology, within mathematical cryptology.
Biography
Boaz Tsaban grew up in Or Yehuda, a city near Tel Aviv. At the age of 16 he was selected with other high school students to attend the first cycle of a special preparation program in mathematics, at Bar-Ilan University, being admitted to regular mathematics courses at the University a year later. He completed his B.Sc., M.Sc. and Ph.D. degrees with highest distinctions.
Two years as a post-doctoral fellow at Hebrew University were followed by a three-year Koshland Fellowship at the Weizmann Institute of Science before he joined the Department of Mathematics, Bar-Ilan University in 2007.
Academic career
In the field of selection principles, Tsaban devised the method of omission of intervals for establishing covering properties of sets of real numbers that have certain combinatorial structures. In nonabelian cryptology he devised the algebraic span method that solved a number of computational problems that underlie a number of proposals for nonabelian public-key cryptographic schemes (such as the commutator key exchange).
Awards and recognition
Tsaban's doctoral dissertation, supervised by Hillel Furstenberg, won, with Irit Dinur, the Nessyahu prize for the best Ph.D. in mathematics in Israel in 2003.
In 2009 he won the Wolf Foundation Krill Prize
for Excellence in Scientific Research.
References
External links
Boaz Tsaban's homepage at Bar-Ilan University
1973 births
Set theorists
Cryptologic education
Mathematics educators
Israeli cryptographers
Israeli mathematicians
Living people
Academic staff of Bar-Ilan University
Bar-Ilan University alumni |
https://en.wikipedia.org/wiki/2015%20Cruzeiro%20Esporte%20Clube%20season | The 2015 season is Cruzeiro's ninety-fourth season in existence and the club's forty-fifth consecutive season in the top flight of Brazilian football.
Statistics
Hat tricks
Overall
Competitions
Campeonato Mineiro
League table
First stage
Semi-finals
Campeonato Brasileiro Série A
League table
Results summary
Results
Copa do Brasil
Round of 16
Cruzeiro joined the competition in the round of 16
Copa Libertadores
Group stage
Knockout phase
Round of 16
Quarter finals
Notes
References
Cruzeiro Esporte Clube seasons
Cruzeiro |
https://en.wikipedia.org/wiki/Enrique%20Serje | Enrique Carlos Serje Orozco (born 10 January 1996) is a Colombian professional footballer who plays as a defensive midfielder for Atlético Junior.
Career statistics
1 Includes Categoría Primera B and Categoría Primera A matches. 2 Includes Copa Colombia matches only. 3 Includes Copa Sudamericana matches only.
References
External links
1996 births
Living people
Colombian men's footballers
Barranquilla F.C. footballers
Atlético Junior footballers
Once Caldas footballers
Independiente Santa Fe footballers
Categoría Primera A players
Categoría Primera B players
Men's association football midfielders
People from Atlántico Department |
https://en.wikipedia.org/wiki/BKK%20Radni%C4%8Dki%20in%20international%20competitions | BKK Radnički history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
BKK Radnički has overall, from 1973–74 (first participation) to 1999–00 (last participation): 32 wins against 25 defeats in 56 games for all the European club competitions.
EuroLeague: 8–3 (11)
FIBA Saporta Cup: 18–15 (33)
FIBA Korać Cup: 4–6 (10)
External links
FIBA Europe
EuroLeague
ULEB
EuroCup
Yugoslav basketball clubs in European and worldwide competitions
BKK Radnički |
https://en.wikipedia.org/wiki/Fast%20sweeping%20method | In applied mathematics, the fast sweeping method is a numerical method for solving boundary value problems of the Eikonal equation.
where is an open set in , is a function with positive values, is a well-behaved boundary of the open set and is the Euclidean norm.
The fast sweeping method is an iterative method which uses upwind difference for discretization and uses Gauss–Seidel iterations with alternating sweeping ordering to solve the discretized Eikonal equation on a rectangular grid. The origins of this approach lie in control theory. Although fast sweeping methods have existed in control theory, it was first proposed for Eikonal equations by Hongkai Zhao, an applied mathematician at the University of California, Irvine.
Sweeping algorithms are highly efficient for solving Eikonal equations when the corresponding characteristic curves do not change direction very often.
References
See also
Fast marching method
Numerical differential equations
Partial differential equations
Hyperbolic partial differential equations |
https://en.wikipedia.org/wiki/OKK%20Beograd%20in%20international%20competitions | OKK Beograd history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
OKK Beograd has overall, from 1958–59 (first participation) to 1977–78 (last participation): 22 wins against 13 defeats in 35 games for all the European club competitions.
EuroLeague: 14–7 (21)
FIBA Saporta Cup
FIBA Korać Cup: 8–6 (14)
See also
Yugoslav basketball clubs in European competitions
References
External links
FIBA Europe
EuroLeague
ULEB
EuroCup
Beograd
OKK Beograd |
https://en.wikipedia.org/wiki/KK%20Bosna%20Royal%20in%20international%20competitions | KK Bosna Royal history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
1970s
1974–75 FIBA Korać Cup, 3rd–tier
The 1974–75 FIBA Korać Cup was the 4th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from November 5, 1974, to March 25, 1975. The trophy was won by the title holder Birra Forst Cantù, who defeated CF Barcelona by a result of 181–154 in a two-legged final on a home and away basis. Overall, Bosna achieved in present competition a record of 5 wins against 5 defeats, in three successive rounds. More detailed:
First round
Tie played on November 5, 1974, and on November 12, 1974.
|}
Second round
Tie played on November 26, 1974, and on December 3, 1974.
|}
Top 16
Tie played on January 7, 1975, and on January 14, 1975.
|}
Tie played on January 21, 1975, and on January 28, 1975.
|}
Tie played on February 5, 1975, and on February 12, 1975.
|}
Group D standings:
1976–77 FIBA Korać Cup, 3rd–tier
The 1976–77 FIBA Korać Cup was the 6th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 19, 1976, to April 5, 1977. The trophy was won by Jugoplastika, who defeated Alco Bologna by a result of 87–84 at Palasport della Fiera in Genoa, Italy. Overall, Bosna achieved in present competition a record of 6 wins against 2 defeats, in three successive rounds. More detailed:
First round
Tie played on October 19, 1976, and on October 26, 1976.
|}
Second round
Tie played on November 16, 1976, and on November 23, 1976.
|}
Top 12
Day 1 (January 11, 1977)
|}
Day 2 (January 18, 1977)
Bye
Day 3 (January 25, 1977)
|}
Day 4 (February 8, 1977)
|}
Day 5 (February 15, 1977)
Bye
Day 6 (February 22, 1977)
|}
Group B standings:
1977–78 FIBA Korać Cup, 3rd–tier
The 1977–78 FIBA Korać Cup was the 7th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from November 15, 1977, to March 21, 1978. The trophy was won by Partizan, who defeated Bosna by a result of 117–110 (OT) at Sportska dvorana Borik in Banja Luka, Yugoslavia. Overall, Bosna achieved in present competition a record of 7 wins against 4 defeats, in four successive rounds. More detailed:
First round
Tie played on November 15, 1977, and on November 22, 1977.
|}
*İTÜ withdrew before the first leg, and Bosna received a forfeit (2-0) in both games.
Top 16
Day 1 (December 13, 1977)
|}
Day 2 (January 10, 1978)
|}
Day 3 (January 17, 1978)
|}
Day 4 (January 24, 1978)
|}
Day 5 (January 31, 1978)
|}
Day 6 (February 7, 1978)
|}
Group B standings:
Semifinals
Tie played on February 28, 1978, and on March 9, 1978.
|}
Final
March 21, 1978 at Sportska dvorana Borik in Banja Luka, Yugoslavia.
|}
*Overtime at the end of regulation (101–101).
1978–79 FIBA European Champions Cup, 1st–tier
The 1978–79 FIBA European Champions Cup was the 22nd installment |
https://en.wikipedia.org/wiki/Randall%20Leal | Randall Enrique Leal Arley (born 14 January 1997) is a Costa Rican professional footballer who plays for Major League Soccer club Nashville and the Costa Rica national team.
Career statistics
Club
International
Honours
Saprissa
CONCACAF League: 2019
Individual
CONCACAF U-20 Championship Best XI: 2017
References
External links
1997 births
Living people
Costa Rican men's footballers
Costa Rica men's under-20 international footballers
Belgian Pro League players
K.V. Mechelen players
Nashville SC players
Costa Rican expatriate men's footballers
Costa Rican expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Men's association football midfielders
2019 CONCACAF Gold Cup players
Designated Players (MLS)
Major League Soccer players
Costa Rica men's international footballers
MLS Next Pro players |
https://en.wikipedia.org/wiki/Jefferson%20Orejuela | Jefferson Gabriel Orejuela Izquierdo (born 14 February 1993) is an Ecuadorian professional footballer who plays as a central midfielder.
Career statistics
(Correct .)
Honours
LDU Quito
Ecuadorian Serie A: 2018
References
External links
Jefferson Orejuela profile at Federación Ecuatoriana de Fútbol
1993 births
Living people
People from Esmeraldas Province
Ecuadorian men's footballers
Men's association football midfielders
C.S.D. Independiente del Valle footballers
Fluminense FC players
L.D.U. Quito footballers
Querétaro F.C. footballers
Barcelona S.C. footballers
Campeonato Brasileiro Série A players
Ecuadorian Serie A players
Liga MX players
Ecuador men's international footballers
Ecuadorian expatriate men's footballers
2019 Copa América players
Expatriate men's footballers in Brazil
Expatriate men's footballers in Mexico
Ecuadorian expatriate sportspeople in Brazil
Ecuadorian expatriate sportspeople in Mexico
C.S. Norte América footballers |
https://en.wikipedia.org/wiki/Bhima%20II | {
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Bhima II (r. c. 1178–1240 CE), also known as Bhola Bhima, was an Indian king who ruled parts of present-day Gujarat. He was a member of the Chaulukya (also called Chalukya or Solanki) dynasty. During his reign, the dynasty's power declined greatly as a result of rebellions by the feudatories as well as external invasions by the Ghurids, the Paramaras, and the Yadavas of Devagiri. The kingdom, however, was saved by his generals Arnoraja, Lavanaprasada and Viradhavala, whose family established the Vaghela dynasty.
Early life
Bhima II was a son of the Chaulukya king Ajayapala. He succeeded his brother Mularaja II at a young age. Taking advantage of his young age, some of his mandalikas (provincial governors) rebelled against him in order to establish independent states. His loyal feudatory Arnoraja came to his rescue, and died fighting the rebels. Arnoraja's descendants Lavanaprasada and Viradhavala became powerful during Bhima's reign, |
https://en.wikipedia.org/wiki/Bautista%20Merlini | Bautista Merlini (born 4 July 1995) is an Argentine footballer who plays as a left winger for Paraguayan club Club Libertad.
Career statistics
References
1995 births
Living people
Argentine men's footballers
Argentine expatriate men's footballers
Men's association football midfielders
Argentine people of Italian descent
Club Atlético Platense footballers
San Lorenzo de Almagro footballers
Defensa y Justicia footballers
Club Guaraní players
Club Libertad footballers
Argentine Primera División players
Paraguayan Primera División players
Argentine expatriate sportspeople in Paraguay
Expatriate men's footballers in Paraguay
Sportspeople from Vicente López Partido
Footballers from Buenos Aires Province |
https://en.wikipedia.org/wiki/Ngamta%20Thamwattana | Ngamta "Natalie" Thamwattana is a Thai mathematician who works in Australia as a Professor of Applied Mathematics at the University of Newcastle (Australia). In 2014 she won the J. H. Michell Medal of ANZIAM for her "pioneering contributions in the areas of granular materials and nanotechnology".
Thamwattana came from Chumphon Province in Thailand, where her mother made dresses and her father worked in the police.
After her first year of university, her high test scores in science and mathematics earned her a government scholarship with full tuition and, later, support for doctoral studies abroad.
She earned a bachelor's degree in mathematics from Mahidol University in Thailand in 2000, choosing mathematics because as a mathematician she wouldn't "have to play with the chemical stuff and we didn't have to kill rat or any insects". She completed her Ph.D. at Wollongong in 2004 under the supervision of James Murray Hill.
After completing her studies, she returned the money from her Thai scholarship in order to stay in Australia with her new husband, a lecturer at Wollongong. She joined the Wollongong faculty herself, and founded the Nanomechanics Group there. In 2018 she moved to University of Newcastle (Australia) to take up a position as professor of Applied Mathematics.
References
External links
Year of birth missing (living people)
Living people
Australian mathematicians
Ngamta Thamwattana
Ngamta Thamwattana
Women mathematicians
Ngamta Thamwattana
University of Wollongong alumni
Academic staff of the University of Wollongong
Academic staff of the University of Newcastle (Australia) |
https://en.wikipedia.org/wiki/Evgeny%20Moiseev | Evgeny Moiseev (; 7 March 1948 – 25 December 2022) was a Russian mathematician, academician of the Russian Academy of Sciences, Dean of the Faculty of Computational Mathematics and Cybernetics at Moscow State University (MSU CMC), Head of the Department of Functional Analysis and its Applications at MSU CMC, Professor, Dr.Sc.
Biography
Evgeny Moiseev was born in Odintsovo, Moscow region on 7 March 1948, and attended a school with specialized training in programming in Reutov. In 1965, after graduating from high school, he entered Moscow State University, the Faculty of Physics.
After graduating from the Faculty of Physics in 1971, he became a postgraduate student at the MSU Faculty of Computational Mathematics and Cybernetics and received his Candidate of Sciences (PhD) degree in Physics and Mathematics in 1974 for a thesis entitled «On the uniqueness of solutions of the second boundary value problem for an elliptic equation».
Moiseev worked at the Faculty of Computational Mathematics and Cybernetics from 1974. He was an assistant (1974-1979), an assistant professor (1979-1983), a professor at the Department of General Mathematics (1983-2008). He was awarded a degree of Doctor of Science in Physics and Mathematics for his doctoral thesis «Some problems of mixed type equations spectral theory» in 1981. In 1999 Evgeny Moiseev was appointed Dean of the Faculty of Computational Mathematics and Cybernetics. Since 2008 he has been a professor and the Head of the Department of Functional Analysis and its Applications. He has also worked part-time at the Computational center of the Russian Academy of Sciences, most recently in the position of Chief Researcher.
In Moscow State University Evgeny Moiseev delivered the following lecture courses: Functional Analysis, Mathematical Analysis, Applied Functional Analysis, Mixed Equations, Singular Integral Equations, and Spectral Methods for Non-Classical Mathematical Physics Problems Solution. He also conducted special seminars.
Moiseev supervised 7 Doctors of Science and 15 PhDs in Mathematics and Physics.
Moiseev headed MSU Young Researchers Council for five years (1983–1988). He worked as Academic Secretary of CMC Council. He was a Deputy Chairman of the Expert Council of the Higher Attestation Commission, the Editor in Chief of the journal “Integral Transforms and Special Functions”, the Editor in Chief of the series “Computational Mathematics and Cybernetics” in “MSU Vestnik”, an editorial board member of the journals “Differential Equations” and “RFBR Vestnik”.
Moiseev died on 25 December 2022, at the age of 74.
Research career
Moiseev`s research spans areas including computer science, mathematical modeling, spectral theory, and differential equations.
He has found the sectors on the complex plane which encompass the Tricomi problem spectrum for mixed equations in the gas dynamics theory. The solution of the Tricomi, Frankl and Gellersterdt problem has been efficiently presented in the form of bio |
https://en.wikipedia.org/wiki/KK%20Partizan%20in%20international%20competitions | KK Partizan history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
See also
Yugoslav basketball clubs in European competitions
External links
FIBA Europe
EuroLeague
ULEB
EuroCup
References
Yugoslav basketball clubs in European and worldwide competitions |
https://en.wikipedia.org/wiki/Football%20records%20and%20statistics%20in%20Cape%20Verde | This article concerns football records in Cape Verde. Unless otherwise stated, records are taken from the Cape Verdean National Championships and the second-tier Regional Championships.
National level
National Championships
Titles
Most titles: 12, Mindelense
Appearances
Most seasons in the National Championships overall: Mindelense
Fewest seasons in the National Championships: 1 season, joint record, some of the clubs are: AJAC da Calheta, GD Amarantes, Beira Mar (Maio), Beira-Mar (Tarrafal), Benfica de Santa Cruz, GD Corôa, Cutelinho, Desportivo Estância Baixo, Desportivo de Santa Cruz, GDRC Fiorentina, Flor Jovem da Calheta, Grémio Nhágar, Marìtimo, Onze Estrelas, Sanjoanense, Spartak d'Aguadinha, Varandinha
Most recent first time appearances into the National Championships as of 2017: AJAC da Calheta of the Santiago North Zone
Wins
Most wins at the National championships overall (excluding playoffs): 6 wins, Sporting Clube da Praia and Batuque FC (2002)
Most wins at the National Championships: 7 wins, FC Derby (2008)
Most wins at home: 6 matches. CS Mindelense (2014))
Most wins at home in the regular season: 5 (joint record):, Derby (2008), Mindelense (2015)
Most wins away:, joint record: 4 matches, CS Mindelense (2011, 2016), SC Atlético (2012)
Draws
Most two-match draws at the finals in a season: Once (2015)
Losses
Most losses at the National Championships in a season: 7 losses, Académica da Brava (2002)
Points
Most points in a season (3 points for a win): 19. joint record (2002)
Sporting Clube da Praia
Batuque
Goals
Most goals scored in a season: (34) Sporting Clube da Praia (2005)
Most goals scored in a regular season: (24) Sporting Clube da Praia (2005)
Most home goals scored in a season: 23, Sporting Clube da Praia (2005)
Scorelines
Record win: Sporting Clube da Praia 13–0 Desportivo Estância Baixo, 11 June 2005
Individual
Most goals in a season: 14, Zé de Tchecha (for Sporting Clube da Praia 2005)
Cape Verdean Cup
Most wins: 2: Boavista FC (2009, 2010)
Most consecutive wins:, 2, Boavista FC (2009, 2010)
Most appearances in a final: 2, Boavista FC (2009, 2010)
Most appearances without winning: 2, Académica do Sal (2007, 2009)
Biggest win: 3 goals: Académica da Praia 3–1 Académica do Sal (2007)
Most goals in a final: 3 goals: Académica da Praia 3–1 Académica do Sal (2007)
Most defeats in a final:2, Académica do Sal (2007, 2009)
Regional competitions
Regional Championships, second-tier
Titles
Most titles by any of the island leagues: 49, Mindelense, São Vicente
Wins
Most wins in a season: 20, GD Varandinha, Santiago North Zone, 2016
Fewest wins in a season (in a championship more than ten clubs): 1
Draws
Most draws in a season: 12, Estrela dos Amadores, Santiago North Premier Division, 2016
Goals
Highest number of goals scored in a season: 72, Spartak d'Aguadinha, Fogo, 2014–15
Highest number of goals conceded: 104, Parque Real, Fogo, in the 2014–15 season
Games without a loss
Best season (overall): Académica do Porto N |
https://en.wikipedia.org/wiki/Rei%20Sato%20%28motorcyclist%29 | is a Japanese motorcycle racer. In 2016 he competes aboard a Honda NSF250R in the MFJ All Japan Road Race J-GP3 Championship.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
External links
2000 births
Living people
Japanese motorcycle racers
Moto3 World Championship riders |
https://en.wikipedia.org/wiki/Beit%20Qad | Beit Qad () is a Palestinian rural village in the West Bank governorate of Jenin. The village is located 5 km from the city of Jenin and according to the Palestinian Central Bureau of Statistics (PCBS) in 2017 it had a population of 1,538.
History
The village is associated by some scholars with a biblical locality in the Kingdom of Israel, located between the city of Jezreel and the kingdom's capital Samaria. It is mentioned in the Book of Kings as Beth Ekad of the Shepherds () which can be translated as "meeting place of the shepherds". In this place, Jehu, king of Israel, slaughtered 42 relatives of Ahaziah, king of Judah. The village is also associated with a village mentioned in the Onomasticon (Gazetteer) of the Greek historian Eusebius called Beth Ekamat.
Some intact Roman buildings can be found in the village, and ceramics from the Byzantine era have also been found there.
Ottoman era
Beit Qad, like the rest of Palestine, was incorporated into the Ottoman Empire in 1517. During the 16th and 17th centuries, it belonged to the Turabay Emirate (1517-1683), which encompassed also the Jezreel Valley, Haifa, Jenin, Beit She'an Valley, northern Jabal Nablus, Bilad al-Ruha/Ramot Menashe, and the northern part of the Sharon plain.
In the census of 1596, Beit Qad appeared in the nahiya of Jenin in the liwa of Lajjun. It had a population of 20 households, all Muslim. They paid a fixed tax rate of 25% on agricultural products, including wheat, barley, summer crops, olive trees, goats and beehives, in addition to occasional revenues; a total of 9,500 akçe. Beit Qad was described by the census as a hamlet.
In 1838, Beit Kad was noted as one of a range of villages round a height, the other villages being named as Deir Abu Da'if, Fuku'a, Deir Ghuzal and Araneh.
In 1870 Victor Guérin found the village to have 200 inhabitants. In 1882, the PEF's Survey of Western Palestine (SWP) described Beit Kad as “a small village on a knoll near the plain. It has a large cemented cistern, now broken. The houses are of stone and mud.”
In 1870/1871 (1288 AH), an Ottoman census listed the village in the nahiya (sub-district) of Shafa al-Qibly.
British era
In the 1922 census of Palestine the population of the village was 199 Muslims, decreasing slightly in the 1931 census to 185, in 35 households.
In the 1944/5 statistics, the population was 290, all Muslim, with a total of 8,915 dunams of land, according to an official land and population survey. Of this, 608 dunams were used for plantations and irrigable land, 6,976 dunams for cereals, while 10 dunams were built-up (urban) land.
Jordanian era
In 1948 Palestinian refugees from Mount Gilboa were absorbed in the village and stayed there as sharecroppers. The refugees who arrived to Beit Qad had the opportunity to resettle in the village instead of moving to refugee camps. In 1951 they built, with the aid of the Jordanian government, another agriculture-based village, 2 km north of Beit Qad, called M |
https://en.wikipedia.org/wiki/Alan%20Huckleberry | Alan Trinler Huckleberry (born February 18, 1941) is an American mathematician who works in complex analysis, Lie groups actions and algebraic geometry. He is currently (since 2009) Professor Emeritus of Mathematics at Ruhr University Bochum and Wisdom Professor of Mathematics at Jacobs University Bremen in Germany.
Professional career
He received his B.S. from Yale University in 1963 and his Ph.D. from Stanford University in 1969 working under Halsey Royden. His Ph.D. thesis was titled: Holomorphic Mappings and algebras of holomorphic functions of several complex variables. He has previously taught at University of Notre Dame before joining Ruhr University Bochum in 1980.
Huckleberry has honorary doctor’s degrees from University of Lile (France) in 1997, and from University of Nancy (France) in 2002.
In addition to pure mathematics, he also works in applications of symplectic geometry in quantum entanglement and in other problems of mathematical physics.
Writings
with Bruce Gilligan, Fibrations and Globalizations of Compact Homogeneous CR-Manifolds, Izvestiya: Mathematics, 73:3,(2009) 501 - 553.
with Gregor Fels, Joseph A. Wolf Cycle spaces of flag domains: a complex geometric point of view, Birkhäuser 2006
as editor with Tilman Wurzbacher Infinite dimensional Kähler Manifolds, Birkhäuser 2001 (DMV Seminar Oberwolfach 1995)
as editor with Fabrizio Catanese, Hélène Esnault, Klaus Hulek, Thomas Peternell Global aspects of complex geometry, Springer Verlag 2006
The classification of homogeneous surfaces, Expositiones mathematicae 4 (1986), 289-334
Actions of groups of holomorphic transformations, in: Several Complex Variables VI, Encyclopedia of Math. Sciences, Band.69, Springer-Verlag 1991, 143-196
with Peternell, Artikel Several complex variables: basic geometric theory and Complex manifolds in Francoise, Naber, Tsun (Hrsg.), Encyclopedia of Mathematical Physics, Elsevier 2006
External links
Homepage
Living people
20th-century American mathematicians
American emigrants to West Germany
Academic staff of Ruhr University Bochum
1941 births
Stanford University faculty
University of Notre Dame faculty
Academic staff of Jacobs University Bremen
21st-century American mathematicians
Yale University alumni |
https://en.wikipedia.org/wiki/Pirita%20JK%20Reliikvia | Pirita JK Reliikvia is a football club based in Pirita, Tallinn, Estonia. Founded in 2007, it currently plays in III Liiga.
Players
Current squad
''As of 24 July 2019
Statistics
League and Cup
References
External links
Team at Estonian Football Association
Harju County
Football clubs in Estonia
Association football clubs established in 2007 |
https://en.wikipedia.org/wiki/1911%20Australian%20census | The 1911 Australian census was the first national population census held in Australia and was conducted by the Bureau of Census and Statistics. The day used for the census, was taken for the night between 2 and 3 April 1911. The total population of the Commonwealth of Australia was counted as 4,455,005 – an increase of 681,204 people, 18.05% over the 1901 "Federation" census.
The Census Volumes II and III were published on 30 September 1914. At that time it was intended to issue
shortly thereafter Volume 1.
Collection method
The first Commonwealth Statistician was George Handley Knibbs. He began his career as a licensed surveyor in government service. On Monday 3 April 1911, census collectors set out all over Australia under mostly clear skies to begin gathering in Australia's first national census forms.
They covered suburbs to rural towns and the outback. They travelled by bike or horse where they had the transport that was needed to cover large areas, however, most travelled by foot. Some in Northern Queensland had to find their way through a flooded landscape while others in South Australia had difficulties finding water and fodder for their horses due to droughts. They had distributed the forms prior to the census day.
There was a permanent staff of the 'Bureau of Census and Statistics' which consisted of the Statistician (Knibbs) and many assistants, some young men working as clerks as well as a couple of messenger boys. A female typist had joined soon after. They worked in the old Rialto Building in Collins Street, Melbourne.
Collectors had to supply their own transport and cover any associated costs such as fodder and petrol. They were paid according to their method of transport. Collectors on foot were paid ten shilling a day, those on bicycle fifteens shillings a day and those on horse 20 shillings a day. Police were used in the days immediately following the census to get travellers, swagmen and campers to provide their information. Train conductors and ships' captains were also used as collectors in the 1911 census and several subsequent censuses, to cover people travelling overnight on census night.
Census questions
"For Every Person present in the Night from 2 to 3 April 1911, or returning on 3rd April (if not included elsewhere).
1. Name in full
2. Sex – {Write M for Male}, {Write F for Female}
3. Date of Birth: Day, Month, Year
4. If married, write M. If widowed, write W. If divorced, write D. If never married, write N. M.
5. Date of existing Marriage: Year...........
6. Number of Children (living and dead) from existing Marriage...........
(a) Number of Children (living and dead) from previous Marriage............
7. Relation to Head of Household
8. State if Blind or Deaf and Dumb ..............
9. Country (or Australian State) where born
10. If a British subject by parentage. write P.
If a British subject by Naturalization. write N.
Race –
11. If born outside Commonwealth, state length of residence therein
(a) D |
https://en.wikipedia.org/wiki/A.%20R.%20Rao | A. R. Rao (23 September 1908 – 4 April 2011) was an Indian mathematician. After a career as a professor of mathematics in various colleges in Gujarat, he joined a community science centre in Ahmedabad where he developed models and methods to popularize mathematics among the masses.
Biography
Rao was born on 23 September 1908 in Salem district (now in Tamil Nadu). He studied B. Sc. from Presidency College, Madras and M. Sc. from Wilson College, Bombay. He joined Bahauddin College, Junagadh as a professor and made Gujarat his residence. After teaching for 27 years in Junagadh, he was transferred to Gujarat College, Ahmedabad. In 1964, he was appointed as a principal of Sir P. P. Institute of Science, Bhavnagar and he retired in 1976.
After his retirement from academics, he joined the Vikram A. Sarabhai Community Science Centre (VASCSC) which was established in the 60s by Dr. Sarabhai, initially at Sanskar Kendra, Paldi, before moving to its present building in 1971. in Ahmedabad as the head of the mathematics department. He was interested in education, research, experimentation, problem solving and popularizing mathematics among the masses. He pioneered a mathematical laboratory at the VASCSC (posthumously renamed in his memory) in Ahmedabad. He explored methods to popularize mathematics through fun workshops and toys. He designed models and experiments to teach mathematics. He popularized mathematics in the state and in academics, and prepared students to participate in the International Mathematical Olympiad. Projective geometry, number theory and combinatorics were his subjects of interest in mathematics.
He had written several books including Brain Sharpners, a book on mathematical puzzles.
He worked till January 2011 and died at the age of 103 years on 22 October 2011 following heart attack.
He lived in Ahmedabad with his family, most of which continues to live in Ahmedabad and Thane.
Recognition
Rao had received the national award from the Department of Science and Technology, Government of India. He was felicitated by the National Board for Higher Mathematics, Indian Mathematical Association and Gujarat Ganit Mandal and had received a prize of recognition from the President of India as well as the then Chief Minister of Gujarat Narendra Modi. The Gujarat Ganit Mandal has produced a documentary on him.
References
1908 births
2011 deaths
Indian centenarians
Scientists from Tamil Nadu
People from Salem district
20th-century Indian mathematicians |
https://en.wikipedia.org/wiki/John%20Penn%20Mayberry | John Penn Mayberry (18 November 1939 – 19 August 2016) was an American mathematical philosopher and creator of a distinctive Aristotelian philosophy of mathematics to which he gave expression in his book The Foundations of Mathematics in the Theory of Sets. Following completion of a Ph.D. at Illinois under the supervision of Gaisi Takeuti, he took up, in 1966, a position in the mathematics department of the University of Bristol. He remained there until his retirement in 2004 as a Reader in Mathematics.
Philosophical work
Mayberry's philosophy rejects the Platonic tradition, which holds mathematics to be a transcendental science concerned with discovering truths about immaterial, but intelligible, objective entities, as metaphysically conceited. This stance sets him apart from what probably is the “silent majority” view among practising mathematicians. Roger Penrose eloquently expresses a typical Platonic position.
“The natural numbers were there before there were human beings or indeed any other creatures here in earth, and they will remain after all life has perished. It has always been the case that each natural number is the sum of four squares and it did not have to wait for Lagrange to conjure this fact into existence."
On the other hand, Mayberry also vehemently rejects any understanding of mathematics tainted, as he would think of it, by operationalism. He writes:
“I take operationalism in mathematics to be the doctrine that the foundations of mathematics are to be discovered in the activities (actual or idealised) of mathematicians when they count, calculate, write down proofs, invent symbols, draw diagrams and so on. …… Considerations of human activities and capacities, actual or idealised, have no place in the foundations of mathematics, and we must make every effort to exclude them from the elements, principles and methods on which we intend to base our mathematics.”
The most archetypal and most universally promulgated of such operationalist doctrines is that the natural numbers can be constructed beginning with 1, adding 1 to get 2, adding 1 again to get 3 and continuing indefinitely. This is expressed by the notation N = 1, 2, 3 ……. where the dots denote the indefinite replication of “adding 1”. In accepting these dots of ellipsis, one accepts the intelligibility of indefinite iteration. Mayberry does not believe that a definition of this type is sufficiently clear and sufficiently disentangled from naïve and possibly misguided intuitions about the nature of time as to warrant its inclusion in mathematics without further justification. He writes:
“When the natural number system is taken as the primary datum, something simply “given”, it is natural to see the principles of proof by mathematical induction and definition by recursion along that system as “given” as well. ….. The natural numbers are thus seen as what we arrive at in the process of counting out: 1,2 ….. where the dots of ellipsis “…..” are seen as somehow |
https://en.wikipedia.org/wiki/Instituto%20Nacional%20de%20Estat%C3%ADstica%20%28Cape%20Verde%29 | The Instituto Nacional de Estatística (Portuguese for the National Statistics Institute, abbreviated as INE) is the public statistics institute of Cape Verde. Its current president is Osvaldo Rui Monteiro dos Reis Borges. The population censuses are held every first year of a decade; the most recent was in 2010. Its main office is on 18 Rua da Caixa Económica in the capital city of Praia.
History
Until 1975, under Portuguese rule, statistics were done by the Provincial Statistics Bureau (Repartição Provincial de Estatística), part of the Instituto Nacional de Estatística of Portugal. When Cape Verde became independent, the Serviço Nacional de Estatística (SNE, Portuguese for the National Statistics Service) was established, part of the Ministry of Economy. Its first president was Edgard Chrysostome Pinto. At the end of 1985, the Directorate-General of Statistics was created. In 1996, the new law of the National Statistics System was approved, and the Istituto Nacional de Estatística (INE) was created under the direction of Francisco Fernandes Tavares.
References
External links
Official website
Government of Cape Verde
Praia
Cape Verde |
https://en.wikipedia.org/wiki/Canonical%20link | A canonical link is either
a canonical link element, an HTML element that helps webmasters prevent duplicate content issues; or
a function specified in a generalized linear model in statistics; see Generalized_linear_model#Link_function. |
https://en.wikipedia.org/wiki/John%20Everett%20Robbins | John Everett Robbins (9 October 1903 – 7 March 1995) was a Canadian educator and encyclopedia editor. He served as the director of the Dominion Bureau of Statistics and helped found Carleton College. Robbins was a former President of Brandon University and the first Canadian Ambassador to the Holy See.
Early life and education
Robbins was born on 9 October 1903 in Hampton, Darlington county, Ontario, Canada to John and Gertrude May Robbins. The family moved to the southern Manitoba village of Darlingford in 1906 with the hope that the change in climate would help John senior's health but in 1912 they had to return to Ontario and John's father died in early 1913.
Gertrude Robbins, now with three children to support, married William C. White, a widowed farmer the Robbins family met during their time in Darlingford. With the family moves and the need for help on the farm through world war one John's education suffered many interruptions, however, he did well in his studies. Robbins read many of the classic books White kept in his library in the house, and he found many books by Canadian authors on the shelves of the Methodist Sunday School. Robbins eventually completed grade eleven and took an elementary school teaching job in Saskatchewan where his uncle, Everett Brown, was a school inspector. After working at a few rural schools in Saskatchewan he became convinced that he needed to attain a university degree. He returned to Manitoba and completed grade twelve at Melita, the only rural Manitoba school offering this grade for university entrance. From 1923-1925 he taught in Punnichy, Saskatchewan to raise funds for university, completing some undergraduate credits extramurally.
At the University of Manitoba Robbins set his sights on a master's degree, completed his bachelor of arts in 1928. Upon completing his B.A. he then wanted to earn a Phd. In 1929 he completed the master's degree, majoring in economics and minor in political science and a thesis titled, "A study of the revenue system of the Dominion of Canada." He applied for and received a scholarship for a Phd in the Department of Economics at McMaster University in Toronto, Ontario.
Dominion Bureau of Statistics
In 1930, after publishing several successful papers, he received an offer of a position in the Educational Division of the Dominion Bureau of Statistics in Ottawa, Ontario. Arriving in Ottawa he found a boarding house not far from the offices and there he met a young D.B.S. employee named Catherine Saint-Denis. He immediately began serving at the D.B.S., becoming its director from 1936 to 1952. Robbins married Catherine during their time at D.B.S. and they had two children, Bernard and Emmett.
Canadian Councils
Robbins was a co-founder of several artistic, cultural and educational societies. He also worked as a director of some of these councils.
The Canadian Association for Adult Education,
the Canadian Library Association,
the Social Science and Humanities Researc |
https://en.wikipedia.org/wiki/Carl%20Ferdinand%20Degen | Carl Ferdinand Degen (1 November 1766 – 8 April 1825) was a Danish mathematician. His most important contributions were within number theory and he advised the young, aspiring Norwegian mathematician Niels Henrik Abel in a decisive way. Degen has received much of the credit for the introduction of more modern and advanced mathematics in the Danish-Norwegian school system.
He was born in Braunschweig in Germany, but the family moved to Copenhagen in 1771 when his father Johan Philip Degen got a position in the Royal Danish Orchestra. As a musician he had a low salary, but his son Carl Ferdinand received a fellowship so that he could go to school in Helsingør. He graduated from there in 1783 and continued at the University of Copenhagen. Instead of following the normal path of studies, the young Degen followed his own interests and read classical languages, philosophy, natural sciences and in particular mathematics. When the university in 1792 for the first time announced a prize essay contest in several different fields with an award of 40 riksdaler in each, Degen won the prize both in theology and in mathematics. He was fluent in Latin, Greek and Hebrew, was well-acquainted with Romance and Germanic languages and could read Russian and Polish. In this period he was tutor in mathematics for the young prince who later became king Christian VIII of Denmark. In 1798 Degen was made a Doctor of Philosophy based on a thesis on Kant's philosophy and was elected to the Royal Danish Academy of Sciences and Letters in 1800.
In 1802 Degen got his first academic position as head teacher in mathematics and physics at the Odense cathedral school. After a few years there he was appointed rector at the corresponding school in Viborg. There he remained until 1814 when he became professor in mathematics at the University of Copenhagen. Although his lectures were not so well organized, he was loved by his students and he infused the courses with new and more modern mathematics. At the same time he pursued his own research and published results in many different directions. All this made him the most esteemed mathematician in Scandinavia at that time.
When Niels Henrik Abel as a student visited Degen in Copenhagen, he described him as very kind, but a little strange, with a large, private library. Degen remained there until his death in 1825. For that reason he did not live to see the great fame the young Abel shortly afterwards obtained from his discovery of elliptic functions which Degen had encouraged. He is buried on the Assistens Kirkegård at Nørrebro in Copenhagen.
Mathematical contributions
Degen worked in many branches of what was then modern mathematics. Most of his contributions had to do with problems within number theory, but he also wrote papers on geometry and mechanics.
The Pell equation
In 1817 Degen got printed his large work on the fundamental solutions (x, y) of Pell's equation x2 – ny2 = 1 where n is a positive integer. Euler had earlier |
https://en.wikipedia.org/wiki/Bevan%20point | In geometry, the Bevan point, named after Benjamin Bevan, is a triangle center. It is defined as center of the Bevan circle, that is the circle through the centers of the three excircles of a triangle.
The Bevan point of a triangle is the reflection of the incenter across the circumcenter of the triangle.
The Bevan point of triangle has the same distance from its Euler line as its incenter and the circumcenter is the midpoint of the line segment . The length of is given by
where denotes the radius of the circumcircle and the sides of . The Bevan is point is also the midpoint of the line segment connecting the Nagel point and the de Longchamps point . The radius of the Bevan circle is , that is twice the radius of the circumcircle.
External links
Eric W. Weisstein. Bevan Point. From MathWorld--A Wolfram Web Resource
Alexander Bogomolny. Bevan's Point and Theorem at cut-the-knot
Encyclopedia of Triangle Centers. X(40) = BEVAN POINT
Triangle centers |
https://en.wikipedia.org/wiki/2017%20BEC%20Tero%20Sasana%20F.C.%20season | The 2017 season was BEC Tero Sasana's 21st season in the Thai League T1 since 1997.
Thai League
Thai FA Cup
Thai League Cup
Squad goals statistics
Transfers
First Thai footballer's market is opening on December 14, 2016 to January 28, 2017
Second Thai footballer's market is opening on June 3, 2017 to June 30, 2017
In
Out
Loan in
Notes
References
BEC Tero Sasana F.C. Official Website
Thai League Official Website
External links
Police Tero F.C. seasons
Association football in Thailand lists
BEC Tero Sasana |
https://en.wikipedia.org/wiki/Byeon%20Jun-byum | is a South Korean footballer.
Club statistics
Updated as of 23 February 2018.
References
External links
1991 births
Living people
Sportspeople from Jeju Province
South Korean men's footballers
Men's association football defenders
J1 League players
J2 League players
Sanfrecce Hiroshima players
Shimizu S-Pulse players
Zweigen Kanazawa players
Ventforet Kofu players
Seoul E-Land FC players
K League 2 players
South Korean expatriate men's footballers
South Korean expatriate sportspeople in Japan
Expatriate men's footballers in Japan |
https://en.wikipedia.org/wiki/Romanas%20Janu%C5%A1kevi%C4%8Dius | Romanas Januškevičius (sometimes transliterated from Russian as Romanas Yanushkevichius; born July 10, 1953) is a Lithuanian mathematician who worked in probability theory and characterization of probability distributions and its stability. He was a professor at the Lithuanian University of Educational Sciences, head of the Department of Mathematics, Informatics and Physics since 2001 until 2017.
Early life
Januškevičius was born in Vilnius on July 10, 1953. He graduated from one of Vilnius high schools in 1971 and entered Vilnius University, from which he graduated in 1976.
In 1976–1978 Januškevičius trained in Steklov Institute of Mathematics in Moscow, where under the guidance of Professor Vladimir Zolotarev wrote and in 1978 defended his thesis "Investigation of stability in some problems of characterization of distributions" and received the Candidate of Sciences degree. The main result of this thesis was the work of the author, which considered the stability for decompositions of probability distributions into components.
Work and research interests
Januškevičius received the Doctor of Science degree (habilitation) in 1993. His doctoral thesis "Stability for characterizations of distributions" was published as a monograph.
Characterization theorems in probability theory and mathematical statistics are such theorems that establish a connection between the type of the distribution of random variables or random vectors and certain general properties of functions in them. For example, the assumption that two linear (or non-linear) statistics are identically distributed (or independent, or have a constancy regression and so on) can be used to characterize various populations. Verification of conditions of this or that characterization theorem in practice is possible only with some error, i.e., only to a certain degree of accuracy. Such a situation is observed, for instance, in the cases where a sample of finite size is considered. That is why there arises the following natural question. Suppose that the conditions of the characterization theorem are fulfilled not exactly but only approximately. May we assert that the conclusion of the theorem is also fulfilled approximately? Questions of this kind give rise to a following problem: determine the degree of realizability of the conclusions of mathematical statements in the case of approximate validity of conditions.
In solving these problems, a special place is given to the convolution equation. Decisions of non-homogeneous convolution equations on the half and applications for building stability estimations in characterizations of probability distributions devoted one of the major works of the author. His investigation of stability of characterizations of probability distributions R. Januškevičius has completed in the book in 2014.
Januškevičius was a professor at the Vilnius Pedagogical University since 1997 until 2017. The main emphasis of his pedagogical activity is training of teacher |
https://en.wikipedia.org/wiki/Edge%20tessellation | In geometry, an edge tessellation is a partition of the plane into non-overlapping polygons (a tessellation) with the property that the reflection of any of these polygons across any of its edges is another polygon in the tessellation.
All of the resulting polygons must be convex, and congruent to each other. There are eight possible edge tessellations in Euclidean geometry, but others exist in non-Euclidean geometry.
The eight Euclidean edge tessellations are:
In the first four of these, the tiles have no obtuse angles, and the degrees of the vertices are all even.
Because the degrees are even, the sides of the tiles form lines through the tiling, so each of these four tessellations can alternatively be viewed as an arrangement of lines. In the second four, each tile has at least one obtuse angle at which the degree is three, and the sides of tiles that meet at that angle do not extend to lines in the same way.
These tessellations were considered by 19th-century inventor David Brewster in the design of kaleidoscopes. A kaleidoscope whose mirrors are arranged in the shape of one of these tiles will produce the appearance of an edge tessellation. However, in the tessellations generated by kaleidoscopes, it does not work to have vertices of odd degree, because when the image within a single tile is asymmetric there would be no way to reflect that image consistently to all the copies of the tile around an odd-degree vertex. Therefore, Brewster considered only the edge tessellations with no obtuse angles, omitting the four that have obtuse angles and degree-three vertices.
See also
Reflection group
Citations
Tessellation |
https://en.wikipedia.org/wiki/Hadamard%20derivative | In mathematics, the Hadamard derivative is a concept of directional derivative for maps between Banach spaces. It is particularly suited for applications in stochastic programming and asymptotic statistics.
Definition
A map between Banach spaces and is Hadamard-directionally differentiable at in the direction if there exists a map such that for all sequences and . Note that this definition does not require continuity or linearity of the derivative with respect to the direction . Although continuity follows automatically from the definition, linearity does not.
Relation to other derivatives
If the Hadamard directional derivative exists, then the Gateaux derivative also exists and the two derivatives coincide.
The Hadamard derivative is readily generalized for maps between Hausdorff topological vector spaces.
Applications
A version of functional delta method holds for Hadamard directionally differentiable maps. Namely, let be a sequence of random elements in a Banach space (equipped with Borel sigma-field) such that weak convergence holds for some , some sequence of real numbers and some random element with values concentrated on a separable subset of . Then for a measurable map that is Hadamard directionally differentiable at we have (where the weak convergence is with respect to Borel sigma-field on the Banach space ).
This result has applications in optimal inference for wide range of econometric models, including models with partial identification and weak instruments.
See also
- generalization of the total derivative
References
Directional statistics
Generalizations of the derivative |
https://en.wikipedia.org/wiki/International%20Prize%20in%20Statistics | The International Prize in Statistics is awarded every two years to an individual or team "for major achievements using statistics to advance science, technology and human welfare". The International Prize in Statistics, along with the COPSS Presidents' Award, are the two highest honours in the field of Statistics.
The prize is modelled after the Nobel prizes, Abel Prize, Fields Medal and Turing Award and comes with a monetary award of $80,000. The award ceremony takes place during the World Statistics Congress.
Laureates
Rules
The prize recognizes a single work or body of work, representing a powerful and original idea that had an impact in other disciplines or a practical effect on the world. The recipient must be alive when the prize is awarded.
Organization
The prize is awarded by the International Prize in Statistics Foundation, which comprises representatives of the following major learned societies:
American Statistical Association
International Biometric Society
Institute of Mathematical Statistics
International Statistical Institute
Royal Statistical Society
In addition to recognizing the contributions of a statistician, the Foundation also aims at educating the public about statistical innovations and their impact on the world and gaining wider recognition for the field.
The recipient of the prize is chosen by a selection committee comprising international experts in the field. , the committee members were Xiao-Li Meng (Harvard University), Sally Morton (Virginia Tech), Stephen Senn (Luxembourg Institute of Health), Bernard Silverman (University of Oxford), Stephen Stigler (University of Chicago), Susan Wilson (Australian National University) and Bin Yu (University of California, Berkeley). As of May 2022, the members of the selection committee are Yoav Benjamini, Francisco Cribari-Neto, Vijay Nair, Sonia Petrone, Nancy Reid, Sylvia Richardson, and Jane-Ling Wang.
See also
List of mathematics awards
COPSS Distinguished Achievement Award and Lectureship
Rousseeuw Prize for Statistics
References
External links
Statistical awards
International awards
Awards established in 2016 |
https://en.wikipedia.org/wiki/Hironaka%20decomposition | In mathematics, a Hironaka decomposition is a representation of an algebra over a field as a finitely generated free module over a polynomial subalgebra or a regular local ring. Such decompositions are named after Heisuke Hironaka, who used this in his unpublished master's thesis at Kyoto University .
Hironaka's criterion , sometimes called miracle flatness, states that a local ring R that is a finitely generated module over a regular Noetherian local ring S is Cohen–Macaulay if and only if it is a free module over S. There is a similar result for rings that are graded over a field rather than local.
Explicit decomposition of an invariant algebra
Let be a finite-dimensional vector space over an algebraically closed field of characteristic zero, , carrying a representation of a group , and consider the polynomial algebra on , . The algebra carries a grading with , which is inherited by the invariant subalgebra
.
A famous result of invariant theory, which provided the answer to Hilbert's fourteenth problem, is that if is a linearly reductive group and is a rational representation of , then is finitely-generated. Another important result, due to Noether, is that any finitely-generated graded algebra with admits a (not necessarily unique) homogeneous system of parameters (HSOP). A HSOP (also termed primary invariants) is a set of homogeneous polynomials, , which satisfy two properties:
The are algebraically independent.
The zero set of the , , coincides with the nullcone (link) of .
Importantly, this implies that the algebra can then be expressed as a finitely-generated module over the subalgebra generated by the HSOP, . In particular, one may write
,
where the are called secondary invariants.
Now if is Cohen–Macaulay, which is the case if is linearly reductive, then it is a free (and as already stated, finitely-generated) module over any HSOP. Thus, one in fact has a Hironaka decomposition
.
In particular, each element in can be written uniquely as , where , and the product of any two secondaries is uniquely given by , where . This specifies the multiplication in unambiguously.
See also
Rees decomposition
Stanley decomposition
References
Commutative algebra |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20putouts%20as%20a%20pitcher%20leaders | In baseball statistics, a putout (denoted by PO or fly out when appropriate) is given to a defensive player who records an out by tagging a runner with the ball when he is not touching a base, catching a batted or thrown ball and tagging a base to put out a batter or runner (a force out), catching a thrown ball and tagging a base to record an out on an appeal play, catching a third strike (a strikeout), catching a batted ball on the fly (a fly out), or being positioned closest to a runner called out for interference. The pitcher is the player who pitches the baseball from the pitcher's mound toward the catcher to begin each play, with the goal of retiring a batter, who attempts to either make contact with the pitched ball or draw a walk. The pitcher is often considered the most important player on the defensive side of the game, playing the most difficult and specialized position, and as such is regarded as being at the right end of the defensive spectrum. Pitchers play far less than players at other positions, generally appearing in only two or three games per week; only one pitcher in major league history has appeared in 100 games in a single season. There are many different types of pitchers, generally divided between starting pitchers and relief pitchers, which include the middle reliever, lefty specialist, setup man, and closer. In the scoring system used to record defensive plays, the pitcher is assigned the number 1.
Pitchers typically record putouts by catching line drives or pop-ups, or by covering first base on ground balls to the first baseman. On pop-ups, however, pitchers will often instead act as a defensive supervisor, evaluating the ball's arc and selecting which infielder should make the catch. Pitchers can also record a putout while covering home plate by tagging a runner attempting to score a run if the catcher is retrieving a wild pitch, passed ball, or errant throw. Because of the relative rarity of such plays, as well as their reduced playing time, pitchers record far fewer putouts than players at any other position; players at every other position have recorded between five and forty-three times as many putouts as the top pitcher. Only four pitchers in history – none since 1886 – have recorded 50 putouts in a season, a total which a first baseman might reach in a week.
Career putout totals for pitchers have generally risen with the increase in long careers, and the lengthening of the major league season in the early 1960s. The top 11 career leaders are all starting pitchers who have been active since 1962. Right-handed pitchers generally record more putouts due to their facing first base after the follow-through of their pitching motion; the top 24 leaders are all right-handed. Greg Maddux is the all-time leader in career putouts by a pitcher with 546; he is the only pitcher to record more than 400 career putouts.
Key
List
Stats updated as of October 1, 2023.
Other Hall of Famers
Notes
References
External links
Ma |
https://en.wikipedia.org/wiki/Alfredo%20%C3%81balos | Alfredo Omar Ábalos (born 17 March 1986) is an Argentine footballer who currently plays for Rangers de Talca.
Career statistics
References
External links
1986 births
Living people
Argentine expatriate men's footballers
Argentine men's footballers
Club y Biblioteca Ramón Santamarina footballers
Club Atlético Acassuso footballers
Club Atlético Platense footballers
Club Atlético Nueva Chicago footballers
Curicó Unido footballers
Primera B de Chile players
Expatriate men's footballers in Chile
Men's association football forwards
Footballers from Buenos Aires Province |
https://en.wikipedia.org/wiki/John%20Brian%20Helliwell | John Brian Helliwell FRSE FIMA (1924–1992) was a British mathematician and astrophysicist. He was Professor of Engineering Mathematics at Bradford University 1968 to 1985. He is remembered for his work on the behaviour of gases at transonic speeds and upon the action of conductive gases within magnetic fields.
Life
He was born in York on 2 January 1924. He was educated at Goole Grammar School He then studied at the University of Leeds, graduating with a BSc in 1945. His studies were interrupted by the Second World War during which he served first at the Royal Aircraft Establishment in Farnborough then in the gas department of Metropolitan-Vickers in Manchester. He gained his PhD from Leeds in 1949 on the subject of control theory.
After his PhD he remained in academia, first at Birmingham and Manchester, then as a Lecturer at the Royal College of Science and Technology in Glasgow, now known as Strathclyde University. In 1963 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Donald Pack, Benjamin Noble, Reginald Lord, and Patrick Dunbar Ritchie.
In 1967 he moved to Bradford as Professor of Engineering Mathematics at Bradford University, until his retirement due to ill-health in 1985. He returned to North Yorkshire where he died on 14 July 1992.
Family
In 1951 he married Joyce Hutchinson. They had three daughters.
References
1924 births
1992 deaths
People from Goole
Alumni of the University of Leeds
Academics of the University of Bradford
British mathematicians
British astrophysicists |
https://en.wikipedia.org/wiki/Agnes%20M.%20Herzberg | Agnes Margaret Herzberg (born 1938) is a Canadian statistician who works as a professor of mathematics and statistics at Queen's University. She was president of the Statistical Society of Canada for 1991–1992, its first female president.
Early life and family
Herzberg was born in Saskatoon, Saskatchewan in 1938. She is the daughter of German-Canadian physicist Gerhard Herzberg and spectroscopist Luise Oettinger.
Education and career
Herzberg did her undergraduate studies at Queen's University before earning master's and doctoral degrees from the University of Saskatchewan, under the supervision of Norman Shklov. She took an Overseas Fellowship in 1966, taking her to England, and remained at Imperial College London until 1988, when she returned to Queen's as a professor.
Beyond her work in statistics, Herzberg has also used graph coloring and chromatic polynomials to analyze the mathematics of Sudoku.
Honours and awards
In 1983 she was elected as a Fellow of the American Statistical Association. She became a fellow of the American Association for the Advancement of Science in 1990. She is also a Fellow of the Institute of Mathematical Statistics and an Elected Member of the International Statistical Institute. In 1999 the Statistical Society of Canada gave her their Distinguished Service Award, the first to a woman, and in 2007 the society named her as an Honorary Member "for fundamental contributions to the design of experiments, applied statistics and data analysis; for her organization and leadership of conferences on statistics, science and public policy, and for dedicated service to the international statistical community". Additionally, a conference in her honour was held at Queen's University in 2004.
Publications
An introduction to wavelets with applications to Andrews (Journal of Computational and Applied Mathematics, November 1995, DOI:10.1016/0377-0427(95)00005-4
Identifying Which Sets of Parameters are Simultaneously Estimable in an Incomplete Factorial Design (Journal of the Royal Statistical Society Series D (The Statistician), January 1995, DOI:10.2307/2348894)
An optimal experimental design for the Haar regression model (Canadian Journal of Statistics, September 1994, DOI:10.2307/3315597)
Incomplete factorial designs for randomized clinical trials (Statistics in Medicine, September 1993, DOI:10.1002/sim.4780121708)
Optimum Experimental Designs for Properties of a Compartmental Model (Biometrics, July 1993, DOI:10.2307/2532547)
Discussion of the paper «The foundation of experimental design and observation» by H. P. Wynn (Journal of the Italian Statistical Society, June 1993, DOI:10.1007/BF02589237)
Erratum: Cage Allocation Designs for Rodent Carcinogenicity Experiments (Environmental Health Perspectives, August 1992, DOI:10.2307/3431232)
Cage allocation designs for rodent carcinogenicity experiments (Environmental Health Perspectives, July 1992, DOI:10.1289/ehp.97-1519551)
References
Living people
Canadian stati |
https://en.wikipedia.org/wiki/Jaros%C5%82aw%20Kubicki | Jarosław Kubicki (born 7 August 1995) is a Polish professional footballer who plays as a midfielder for Ekstraklasa club Jagiellonia Białystok.
Career statistics
Club
1 Including Polish Super Cup.
Honours
Lechia Gdańsk
Polish Cup: 2018–19
Polish Super Cup: 2019
References
External links
1995 births
Living people
Polish men's footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Lechia Gdańsk players
Zagłębie Lubin players
Jagiellonia Białystok players
Ekstraklasa players
I liga players
People from Lubin
Men's association football midfielders
Footballers from Lower Silesian Voivodeship |
https://en.wikipedia.org/wiki/Jackie%20Stedall | Jacqueline Anne "Jackie" Stedall (4 August 1950 – 27 September 2014) was a British mathematics historian. She wrote nine books, and appeared on radio on BBC Radio 4's In Our Time programme.
Early life
Stedall was born in Romford, Essex, and attended Queen Mary's High School in Walsall. Her academic achievements included a BA in mathematics from Girton College, Cambridge, an MSc in statistics from the University of Kent, a PGCE from Bristol Polytechnic (now the University of the West of England), and a PhD in the history of mathematics from the Open University. Her PhD focused upon John Wallis' 1685 work Treatise of Algebra.
Career
After her MSc degree, Stedall worked for three years as a statistician at the University of Bristol, and four years as an administrator for War on Want. Subsequently, she worked as a teacher for eight years. Stedall's academic career began in 2000, when she became a Clifford Norton student at The Queen's College, Oxford, studying the history of science. She later became a fellow of the college, and created a third-year module on the history of mathematics at the University of Oxford. In 2002, Stedall became the managing editor of the British Society for the History of Mathematics's newsletter, which later became the BSHM Bulletin journal. She worked alongside fellow mathematical historian Eleanor Robson.
Stedall appeared multiple times on the BBC Radio 4 programme In Our Time. Topics that she discussed on the programme included Archimedes, whether Isaac Newton or Gottfried Wilhelm Leibniz were the founder of calculus, the Fibonacci sequence, prime numbers in finance, and Renaissance era mathematics.
Books
Stedall wrote a 2008 book Mathematics Emerging which was used as the primary textbook for her course.
She also co-edited and published the Oxford Handbook of the History of Mathematics.
With Janet Beery, she co-edited Thomas Harriot’s Doctrine of Triangular Numbers: the 'Magisteria Magna' (European Mathematical Society, 2009).
In 2012, Stedall wrote the book The History of Mathematics: A Very Short Introduction, part of the Oxford University Press' Very Short Introduction series of books. The book focused on "what mathematical historians do and how they do it". It won the 2013 Neumann Prize for the best English-language book on the history of mathematics.
Personal life
Stedall was married and had two children.
Whilst suffering from cancer, Stedall joined the Painswick Friends' meeting house, which "helped her find peace with her illness". In March 2014, she was robbed by a Romanian fraud gang, who stole her bank card.
Stedall died of cancer on 27 September 2014. In her will, she donated money to Queen's College Library for the preservation of mathematical history books. In 2015, the Canadian Society for History and Philosophy of Mathematics held a special session to remember Stedall, and in 2016, the British Society for the History of Mathematics held a two-day meeting at Queen's College on sixteenth- and s |
https://en.wikipedia.org/wiki/Regulus%20%28geometry%29 | In three-dimensional space, a regulus R is a set of skew lines, every point of which is on a transversal which intersects an element of R only once, and such that every point on a transversal lies on a line of R
The set of transversals of R forms an opposite regulus S. In ℝ3 the union R ∪ S is the ruled surface of a hyperboloid of one sheet.
Three skew lines determine a regulus:
The locus of lines meeting three given skew lines is called a regulus. Gallucci's theorem shows that the lines meeting the generators of the regulus (including the original three lines) form another "associated" regulus, such that every generator of either regulus meets every generator of the other. The two reguli are the two systems of generators of a ruled quadric.
According to Charlotte Scott, "The regulus supplies extremely simple proofs of the properties of a conic...the theorems of Chasles, Brianchon, and Pascal ..."
In a finite geometry PG(3, q), a regulus has q + 1 lines. For example, in 1954 William Edge described a pair of reguli of four lines each in PG(3,3).
Robert J. T. Bell described how the regulus is generated by a moving straight line. First, the hyperboloid is factored as
Then two systems of lines, parametrized by λ and μ satisfy this equation:
and
No member of the first set of lines is a member of the second. As λ or μ varies, the hyperboloid is generated. The two sets represent a regulus and its opposite. Using analytic geometry, Bell proves that no two generators in a set intersect, and that any two generators in opposite reguli do intersect and form the plane tangent to the hyperboloid at that point. (page 155).
See also
References
H. G. Forder (1950) Geometry, page 118, Hutchinson's University Library.
Geometry
Quadrics |
https://en.wikipedia.org/wiki/Hern%C3%A1n%20Mu%C3%B1oz | Hernán Guillermo Muñoz Espinoza (born 9 August 1988) is a Chilean footballer. His currently club is Ñublense.
Club career
Statistics
References
1988 births
Living people
Chilean men's footballers
Municipal Mejillones footballers
Deportes Linares footballers
Santiago Morning footballers
San Marcos de Arica footballers
Primera B de Chile players
Men's association football goalkeepers
Sportspeople from Talca
Footballers from Maule Region |
https://en.wikipedia.org/wiki/Youth%20unemployment%20in%20Italy | Youth unemployment in Italy discusses the statistics, trends, causes and consequences of unemployment among young Italians. Italy displays one of the highest rates of youth unemployment among the 35 member countries of the Organization of Economic Co-Operation and Development (OECD). The Italian youth unemployment rate started raising dramatically since the 2008 financial crisis reaching its peak of 42.67% in 2014. In 2017, among the EU member states, the youth unemployment rate of Italy (35.1%) was exceeded by only Spain and Greece. The Italian youth unemployment rate was more than the double of the total EU average rate of 16.7% in 2017. While youth unemployment is extremely high compared to EU standards, the Italian total unemployment rate (11.1%) is closer to EU average (7.4%).
Statistics
Youth unemployment in Italy can be quantified by many measures. According to the World Bank, the youth unemployment rate is 34.726% as of September 27, 2018. Throughout Italy's history of tracking youth unemployment (1983 to 2018), the average percentage has been 30%. Between 1994 and 2000, youth unemployment averaged 33% In certain regions of Italy, especially the southern region of Calabria, the unemployment rate is higher than the rest of the country. As of 2017, Calabria has the highest rate of youth unemployment in the country with 55.6% of the population unemployed between the ages of 15 and 24. In contrast, the 2017 statistic for the lowest rate of youth unemployment was recorded in the northern region of Italy in Trentino-South Tyrol at 14.4%. In 2017, nearly 1 in 5 young Italians were considered to be in the group of unemployed, not looking for employment, and not enrolled in school. In 2017, young Italian families were shown to have a stronger chance of living without income or in complete poverty. Nearly 60% of these families belonged to the generalized group of "new entrants", or rather workers that were attempting to join the labor market for the first time. These young Italians and their families are nearly 3.5 times more likely to be unemployed than older Italians. When compared to the ratio of Germany (1.5 times more likely), young Italians have a much higher chance to remain unemployed. Jobs for young Italians are in great demand in Italy, with certain financial positions receiving 85,000 applications and accepting only 30 candidates. Certain Italian hospital positions have received 7,000 applications and accepted only 10 candidates. These examples of limited employment positions are representative of the day-to-day conditions that young Italians face when searching for employment.
Historically, 40.3% of 15–24 year-olds who were actively part of the labor force were unemployed in 2015.
22% of the same population had been unemployed for 12 or more months, meaning more than half of the unemployed active Italian youth had been so long-term. Yet another subset of the youth population is neither in employment nor in education and training ( |
https://en.wikipedia.org/wiki/Stanley%20decomposition | In commutative algebra, a Stanley decomposition is a way of writing a ring in terms of polynomial subrings. They were introduced by .
Definition
Suppose that a ring R is a quotient of a polynomial ring k[x1,...] over a field by some ideal. A Stanley decomposition of R is a representation of R as a direct sum (of vector spaces)
where each xα is a monomial and each Xα is a finite subset of the generators.
See also
Rees decomposition
Hironaka decomposition
References
Commutative algebra |
https://en.wikipedia.org/wiki/Rees%20decomposition | In commutative algebra, a Rees decomposition is a way of writing a ring in terms of polynomial subrings. They were introduced by .
Definition
Suppose that a ring R is a quotient of a polynomial ring k[x1,...] over a field by some homogeneous ideal. A Rees decomposition of R is a representation of R as a direct sum (of vector spaces)
where each ηα is a homogeneous element and the d elements θi are a homogeneous system of parameters for R and
ηαk[θfα+1,...,θd] ⊆ k[θ1, θfα].
See also
Stanley decomposition
Hironaka decomposition
References
Commutative algebra |
https://en.wikipedia.org/wiki/Women%20in%20Technology | Women in Technology may refer to:
Women in STEM fields, women who work in the fields of Science, Technology, Engineering, and Mathematics
Women in Technology (album), by White Town
Women in Technology International, a worldwide organization dedicated to the advancement of women in business and technology
Women in Tech, a 2016 professional career guide written by Tarah Wheeler |
https://en.wikipedia.org/wiki/James%20Templeton | James F. Templeton was a Scottish amateur footballer who played as a left half in the Scottish League for Queen's Park. He represented the Scottish League XI.
Career statistics
Honours
Queen's Park
Glasgow Cup: 1898–99
References
External links
Year of birth missing
Scottish men's footballers
Scottish Football League players
Men's association football wing halves
Queen's Park F.C. players
Place of death missing
Date of death missing
Place of birth missing
Scottish Football League representative players |
https://en.wikipedia.org/wiki/Critical%20mathematics%20pedagogy | Critical mathematics pedagogy is an approach to mathematics education that includes a practical and philosophical commitment to liberation. Approaches that involve critical mathematics pedagogy give special attention to the social, political, cultural and economic contexts of oppression, as they can be understood through mathematics. They also analyze the role that mathematics plays in producing and maintaining potentially oppressive social, political, cultural or economic structures. Finally, critical mathematics pedagogy demands that critique is connected to action promoting more just and equitable social, political or economic reform.
Critical mathematics pedagogy builds on critical theory developed in the post-Marxist Frankfurt School, as well as critical pedagogy developed out of critical theory by Brazilian educator and educational theorist Paulo Freire. Definitions of critical mathematics pedagogy and critical mathematics education differ among those who practice it and write about it in their work. The focus of critical mathematics pedagogy shifts between three core tenets, but always includes some attention to all three: (1) analysis of injustice and inequitable relations of power made possible through mathematics, (2) critiques of the ways in which mathematics is used to structure and maintain power, and (3) critiques toward plans of action for change and the use of mathematics to reveal and oppose injustices, as well as imagine proposals for more equitable and just relations.
Core concepts and foundations
Critical theory and critical mathematics
Those who build their critical mathematics pedagogy with close relations to critical theory, focus on the analysis of mathematics as having "formatting power" that shapes the way we understand and organize the world. The assumption underlying critical mathematics pedagogy that comes from critical theory is the notion that mathematics is not neutral. According to critical mathematics, neither mathematics itself nor the teaching or learning of mathematics can be value-neutral, or free of interpretation. The critical mathematics group (est. 1990), one of the first groups of teachers and researchers to convene around the work of critical mathematics, state that mathematics is (1) knowledge constructed by humans, (2) the set of knowledges constructed by all groups of humans, not only the Eurocentric knowledge traditionally included in academic texts and (3) a human enterprise in which understanding results from action in social, cultural, political and economic context.
Marilyn Frankenstein, the first educator to coin the term critical mathematics pedagogy in the United States in her 1983 article "Critical Mathematics Pedagogy: An Application of Paulo Freire's Epistemology," illustrates one way in which mathematics is not neutral using the example of the world map. She explains that in order to represent a three-dimensional object on a two dimensional surface, such as is necessary when mapping t |
https://en.wikipedia.org/wiki/Walther%20Wangerin | Walther Wangerin (15 April 1884, in Giebichenstein, Halle an der Saale – 19 April 1938, in Danzig-Langfuhr) was a German botanist.
He studied mathematics and natural sciences at the University of Halle, receiving his doctorate in 1906. Following graduation, he worked as an assistant to Adolf Engler at the botanical garden in Berlin-Dahlem. In 1909 he became a schoolteacher in Burg bei Magdeburg, and from 1913 taught classes at the technical school in Danzig. In 1920 he was appointed divisional director at the Danzig Museum of Natural History and Prehistory.
He made contributions regarding the plant families Alangiaceae, Cornaceae, Garryaceae and Nyssaceae in Engler's Das Pflanzenreich. The botanical genus Wangerinia (E.Franz, 1908; family Caryophyllaceae) is probably named after him, although etymological data is lacking.
Selected works
Die Umgrenzung und Gliederung der Familie der Cornaceae, 1906 – The delimination and structure of the family Cornaceae.
Lebensgeschichte der Blütenpflanzen Mitteleuropas : spezielle Ökologie der Blütenpflanzen Deutschlands, Österreichs und der Schweiz (with Oskar von Kirchner, Carl Joseph Schröter, Ernst Loew, 1908) – Life history of the flowering plants of Central Europe: special ecology of the flowering plants of Germany, Austria and Switzerland.
References
1884 births
1938 deaths
Scientists from Halle (Saale)
University of Halle alumni
Academic staff of the Gdańsk University of Technology
20th-century German botanists |
https://en.wikipedia.org/wiki/Moscow%20State%20School%2057 | Moscow State School 57 () is a public school located in the Khamovniki District of Moscow, Russia. The school was founded in 1877 and is best known for its specialized secondary program in mathematics and its alumni.
History
Founding and School 4 (1877–1968)
In 1877, , a Russian engineer and educator, founded a realschule in Maly Znamensky Lane, which soon became one of the most progressive vocational schools in Russia.
After the October Revolution, the realschule was converted into a boarding school with courses in aesthetic arts and renamed to School 4. It became popular with the Soviet establishment, with top government officials sending their children there.
In 1936, the school was transformed again, converting back to a vocational school and acquiring the number 57 in Moscow's educational system.
Math classes and new campuses (1968–present)
In 1968, Nikolay Konstantinov, a Russian educator in mathematics, established specialized math classes at the school. Konstantinov's teaching methodology still is used in these classes to this day and has been shared with other educational centers.
The high school offers specializations in humanities, biology, and mathematics, as well as a general track. In 2008–2013, the school merged with two other schools in different locations of the Khamovniki District of Moscow, in conformity with recent reforms in educational policy.
Enrollment
The school has a total enrollment of over a thousand students, entering first, eighth and ninth grade.
Admission to elementary school is competitive and based on test results of the students previously enrolled in the school's tuition-based mandatory preschool program.
In 2015, the admission committee considered over a thousand applicants for 130 positions. By maintaining good standing the students can guarantee their further education in the school's general track middle and high school.
School 57 has general track classes along with its specialized programs and holds a separate admission process for specialized classes in mathematics, humanities and biology, a joint project of the school and the of Moscow State University. The admission committee considers a few hundred applicants for 20–25 places in each class.
School 57 launches two math classes each year, with four- and three-year curriculums, each admitting around 20–25 students who have demonstrated the best problem-solving abilities during the application process. The school organizes free preparatory courses that help interested students to develop said abilities. A portfolio that includes prizes from math competitions can strengthen an application.
Academics
Students in the specialized classes receive extensive training in their areas of expertise, often covering college-level material in their junior and senior years. Graduates of the specialized classes often go on to pursue college degrees in Russia's best universities, including the Higher School of Economics, Moscow State University, and the |
https://en.wikipedia.org/wiki/David%20Grimes%20%28meteorologist%29 | David Grimes is a career meteorologist who studied mathematics and nuclear and quantum physics at Brock University in Ontario, Canada. He has been assistant deputy minister of Environment and Climate Change Canada in charge of the Meteorological Service of Canada since July 2006. From 2011 to 2019, he was elected president of the World Meteorological Organization by its 189 members, succeeding Alexander Bedritskiy of Russia.
In 2020, he was appointed as a Member of the Order of Canada. The same year, Grimes was given the International Meteorological Organization Prize.
References
Living people
World Meteorological Organization people
Canadian meteorologists
Brock University alumni
Year of birth missing (living people)
Canadian officials of the United Nations
Members of the Order of Canada
People from Ottawa |
https://en.wikipedia.org/wiki/List%20of%20career%20achievements%20by%20James%20Harden | This page details the records, statistics and career achievements of American basketball player James Harden. Harden is an American basketball guard who plays for the Philadelphia 76ers of the National Basketball Association.
NBA career statistics
Regular season
|-
| style="text-align:left;"|
| style="text-align:left;"| Oklahoma City
| 76 || 0 || 22.9 || .403 || .375 || .808 || 3.2 || 1.8 || 1.1 || .3 || 9.9
|-
| style="text-align:left;"|
| style="text-align:left;"| Oklahoma City
|82 || 5 || 26.7 || .436 || .349 || .843 || 3.1 || 2.1 || 1.1 || .3 || 12.2
|-
| style="text-align:left;"|
| style="text-align:left;"| Oklahoma City
| 62 || 2 || 31.4 || .491 || .390 || .846 || 4.1 || 3.7 || 1.0 || .2 || 16.8
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 78 || 78 || 38.3 || .438 || .368 || .851 || 4.9 || 5.8 || 1.8 || .5 || 25.9
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 73 || 73 || 38.0 || .456 || .366 || .866 || 4.7 || 6.1 || 1.6 || .4 || 25.4
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 81 || 81 || 36.8 || .440 || .375 || .868 || 5.7 || 7.0 || 1.9 || .7 || 27.4
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
|82 || 82 || style="background:#cfecec;"|38.1* || .439 || .359 || .860 || 6.1 || 7.5 || 1.7 || .6 || 29.0
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 81 || 81 || 36.4 || .440 || .347 || .847 || 8.1 ||style="background:#cfecec;"| 11.2* || 1.5 || .5 || 29.1
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 72 || 72 || 35.4 || .449 || .367 || .858 || 5.4 || 8.8 || 1.8 || .7 ||style="background:#cfecec;"| 30.4*
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 78 || 78 || 36.8 || .442 || .368 || .879 || 6.6 || 7.5 || 2.0 || .7 ||style="background:#cfecec;"| 36.1*
|-
| style="text-align:left;"|
| style="text-align:left;"| Houston
| 68 || 68 || 36.5 || .444 || .355 || .865 || 6.6 || 7.5 || 1.8 || .9 ||style="background:#cfecec;"| 34.3*
|-
| style="text-align:left;" rowspan="2"|
| style="text-align:left;"| Houston
| 8 || 8 || 36.3 || .444 || .347 || .861 || 5.1 || 10.4 || 1.2 || .8 || 24.8
|-
| style="text-align:left;"| Brooklyn
| 36 || 36 || 36.3 || .471 || .366 || .856 || 8.5 || 10.9 || 1.3 || .8 || 24.6
|-
|- class="sortbottom"
| style="text-align:center;" colspan="2"| Career
| 877 || 663 || 34.4 || .444 || .363 || .858 || 5.5 || 6.5 || 1.6 || .5 || 25.1
|- class="sortbottom"
| style="text-align:center;" colspan="2"| All-Star
| 7 || 5 || 25.9 || .450 || .397 || .000 || 5.3 || 6.0 || .7 || .1 || 15.9
Playoffs
|-
| style="text-align:left;"| 2010
| style="text-align:left;"| Oklahoma City
| 6 || 0 || 20.0 || .387 || .375 || .842 || 2.5 || 1.8 || 1.0 || .2 || 7.7
|-
| style="text-align:left;"| 2011
| style="text-align:left;"| Oklahoma City
| 17 || 0 || 31.6 || .475 || .303 || .825 || 5.4 || 3.6 || 1.2 || .8 || 13.0
|-
| style="text-align:left;"| 2012
| style="text-align:left;"| Okla |
https://en.wikipedia.org/wiki/Russel%20Escoto | Russel Dalusung Escoto (born December 4, 1992) is a Filipino professional basketball player for the Magnolia Hotshots of the Philippine Basketball Association (PBA).
PBA career statistics
As of the end of 2022–23 Season
Season-by-season averages
|-
| align=left |
| align=left | Mahindra
| 10 || 18.0 || .468 || .667 || .800 || 4.0 || .1 || .2 || .1 || 8.0
|-
| align=left |
| align=left | Kia / Columbian
| 26 || 14.4 || .348 || .244 || .529 || 3.0 || .7 || .3 || .2 || 3.9
|-
| align=left rowspan=2|
| align=left | Columbian
| rowspan=2|36 || rowspan=2|10.7 || rowspan=2|.437 || rowspan=2|.377 || rowspan=2|.677 || rowspan=2|2.3 || rowspan=2|.5 || rowspan=2|.1 || rowspan=2|.1 || rowspan=2|3.9
|-
| align=left | NorthPort
|-
| align=left |
| align=left | San Miguel
| 13 || 12.2 || .279 || .063 || .417 || 3.2 || .2 || .2 || .7 || 2.3
|-
| align=left |
| align=left | Magnolia
| 7 || 4.7 || .389 || .200 || 1.000 || .1 || .0 || .0 || .0 || 2.7
|-
| align=left |
| align=left | Magnolia
| 27 || 9.0 || .500 || .263 || .357 || 1.8 || .4 || .1 || .0 || 3.9
|-class=sortbottom
| align=center colspan=2 | Career
| 119 || 11.6 || .415 || .299 || .600 || 2.5 || .4 || .1 || .2 || 4.0
References
1992 births
Living people
Basketball players from Pampanga
Kapampangan people
Terrafirma Dyip players
Philippines men's national basketball team players
Filipino men's basketball players
Power forwards (basketball)
Sportspeople from Angeles City
Filipino Christians
FEU Tamaraws basketball players
NorthPort Batang Pier players
San Miguel Beermen players
Terrafirma Dyip draft picks |
https://en.wikipedia.org/wiki/Peng%20Yee%20Lee | Peng Yee Lee (born 1938) is a Singaporean mathematician and mathematics educator. Lee is an associate professor of mathematics at the National Institute of Education in Singapore. He is a former president of the Southeast Asian Mathematical Society, a former vice president of the International Commission on Mathematical Instruction, and a former president of the Association of Mathematics Educators of Singapore.
In mathematics, Lee's work is in analysis focusing on integration theory.
Early life and education
Lee received his PhD from Queens University of Belfast (UK) in 1965, under the direction of Ralph Henstock.
Career
Lee has taught at the University of Malawi (1965–67), the University of Auckland (1967–71), Nanyang University (1971–81), the National University of Singapore (1981–94), and the National Institute of Education (NIE) in Nanyang Technological University (1994–2013).
Lee was a president of the Southeast Asian Mathematical Society in 1981 and 1982, and vice president of the International Commission on Mathematical Instruction (ICMI) from 1987 to 1990 and from 1991 to 1994. He was President of the Association of Mathematics Educators in Singapore in 2000 and 2001.
In 2012, he became one of the inaugural Fellows of the American Mathematical Society.
Contributions
Lee worked for more than 40 years to promote the development of mathematics and mathematics education in Southeast Asia and in China. He trained a significant number of mathematicians from these regions, including those from Singapore, Indonesia and the Philippines. Lee has published about 100 research papers and written several books on analysis and mathematics education.
Lee contributed to the development of Singapore math, a teaching method and mathematics curriculum that focus on problem solving and heuristic model drawing, which originated in Singapore in the 1980s.
Selected works
Peng Yee Lee (1989) Lanzhou Lectures on Henstock Integration, World Scientific. .
Peng Yee Lee and Redolf Výborný (2000) Integral: an easy approach after Kurzweil and Henstock, Cambridge University Press. .
Peng Yee Lee (2006) Mathematics for Teaching or Mathematics for Teachers? Guest Editorial, The Mathematics Educator, Vol. 16, No. 2, 2–3.
Peng Yee Lee, Jan de Lange, and William Schmidt (2006) What are PISA and TIMSS? What do they tell us? International Congress of Mathematicians. Vol. III, 1663–1672, European Mathematical Society, Zürich.
Bin Xiong and Peng Yee Lee (2007) Mathematical Olympiad in China: Problems and Solutions, East China Normal University Press.
Lee, P. Y, “Sixty years of mathematics syllabi and textbooks in Singapore (1945-2005)”. Paper presented for The First International Conference on Mathematics Curriculum at the University of Chicago, 2005.
References
External links
Mathematics Genealogy Project – Peng Yee Lee
"Google Scholar report
Singaporean mathematicians
Living people
1938 births
Fellows of the American Mathematical Society
Academic s |
https://en.wikipedia.org/wiki/Julio%20Algar | Julio Algar Pérez-Castilla (born 16 October 1969) is a Spanish retired footballer who played as a right back, and is a manager.
Managerial statistics
References
External links
1969 births
Living people
Footballers from Madrid
Spanish men's footballers
Men's association football defenders
Segunda División players
Segunda División B players
Tercera División players
Real Madrid Castilla footballers
Villarreal CF players
Córdoba CF players
Real Murcia CF players
FC Cartagena footballers
UE Figueres footballers
Spanish football managers
Lorca Deportiva CF managers
Lorca FC managers
Real Murcia CF managers
UD San Sebastián de los Reyes managers
Club Recreativo Granada managers |
https://en.wikipedia.org/wiki/Ali%20Ahmadi%20%28Iranian%20footballer%29 | Ali Ahmadi (; born 1 March 1994) is an Iranian professional footballer who plays for Nirooye Zamini in the League 2 (Iran).
Club career statistics
Last Update: 30 June 2021
References
1994 births
Living people
Sportspeople from Lorestan province
Iranian men's footballers
Men's association football defenders
Sepahan S.C. footballers
Saba Qom F.C. players
Sepahan Novin F.C. players
Naft Masjed Soleyman F.C. players
Nirooye Zamini F.C. players
Persian Gulf Pro League players
Azadegan League players
Iranian expatriate men's footballers
Iranian expatriate sportspeople in Italy
Expatriate men's footballers in Italy |
https://en.wikipedia.org/wiki/Fredholm%20solvability | In mathematics, Fredholm solvability encompasses results and techniques for solving differential and integral equations via the Fredholm alternative and, more generally, the Fredholm-type properties of the operator involved. The concept is named after Erik Ivar Fredholm.
Let be a real -matrix and a vector.
The Fredholm alternative in states that the equation has a solution if and only if for every vector satisfying . This alternative has many applications, for example, in bifurcation theory. It can be generalized to abstract spaces. So, let and be Banach spaces and let be a continuous linear operator. Let , respectively , denote the topological dual of , respectively , and let denote the adjoint of (cf. also Duality; Adjoint operator). Define
An equation is said to be normally solvable (in the sense of F. Hausdorff) if it has a solution whenever . A classical result states that is normally solvable if and only if is closed in .
In non-linear analysis, this latter result is used as definition of normal solvability for non-linear operators.
References
F. Hausdorff, "Zur Theorie der linearen metrischen Räume" Journal für die Reine und Angewandte Mathematik, 167 (1932) pp. 265
V. A. Kozlov, V.G. Maz'ya, J. Rossmann, "Elliptic boundary value problems in domains with point singularities", Amer. Math. Soc. (1997)
A. T. Prilepko, D.G. Orlovsky, I.A. Vasin, "Methods for solving inverse problems in mathematical physics", M. Dekker (2000)
D. G. Orlovskij, "The Fredholm solvability of inverse problems for abstract differential equations" A.N. Tikhonov (ed.) et al. (ed.), Ill-Posed Problems in the Natural Sciences, VSP (1992)
Fredholm theory |
https://en.wikipedia.org/wiki/Lebesgue%27s%20universal%20covering%20problem | Lebesgue's universal covering problem is an unsolved problem in geometry that asks for the convex shape of smallest area that can cover every planar set of diameter one. The diameter of a set by definition is the least upper bound of the distances between all pairs of points in the set. A shape covers a set if it contains a congruent subset. In other words the set may be rotated, translated or reflected to fit inside the shape.
Formulation and early research
The problem was posed by Henri Lebesgue in a letter to Gyula Pál in 1914. It was published in a paper by Pál in 1920 along with Pál's analysis. He showed that a cover for all curves of constant width one is also a cover for all sets of diameter one and that a cover can be constructed by taking a regular hexagon with an inscribed circle of diameter one and removing two corners from the hexagon to give a cover of area
In 1936, Roland Sprague showed that a part of Pál's cover could be removed near one of the other corners while still retaining its property as a cover. This reduced the upper bound on the area to .
Current bounds
After a sequence of improvements to Sprague's solution, each removing small corners from the solution,
a 2018 preprint of Philip Gibbs claimed the best upper bound known, a further reduction to area 0.8440935944.
The best known lower bound for the area was provided by Peter Brass and Mehrbod Sharifi using a combination of three shapes in optimal alignment, proving that the area of an optimal cover is at least 0.832.
See also
Moser's worm problem, what is the minimum area of a shape that can cover every unit-length curve?
Moving sofa problem, the problem of finding a maximum-area shape that can be rotated and translated through an L-shaped corridor
Kakeya set, a set of minimal area that can accommodate every unit-length line segment (with translations allowed, but not rotations)
Blaschke selection theorem, which can be used to prove that Lebesgue's universal covering problem has a solution.
References
Discrete geometry
Unsolved problems in geometry |
https://en.wikipedia.org/wiki/Chen-Bo%20Zhu | Chen-Bo Zhu, also known as Zhu Chengbo (), is a Chinese-born Singaporean mathematician working in representation theory of Lie groups. He was Head of the Department of Mathematics at the National University of Singapore from 2014 to 2020. Zhu served as President of the Singapore Mathematical Society from 2009 to 2012 and Vice President of the Southeast Asian Mathematical Society from 2012 to 2013.
Biography
Zhu was born on September, 1964 in Yin County (, current Yinzhou District), Ningbo, Zhejiang Province in China, Zhu attended Yinzhou High School from 1978 to 1980 and studied mathematics as an undergraduate at Zhejiang University from 1980 to 1984. In 1984, Zhu was among the 15 students nationwide selected by the Government of China and by a joint AMS-SIAM committee for PhD study in the U.S. (also known as the Shiing-Shen Chern Program). Subsequently, he went to Yale University in 1985 and obtained his PhD in 1990, under the direction of Roger Howe. Zhu joined the Department of Mathematics at NUS in 1991, and became a Singapore citizen in 1995.
Contributions
In representation theory, Zhu’s work is focused on classical groups and their smooth representations. Jointly with Sun Binyong, he proved multiplicity at most one for the branching (also called strong Gelfand pair property) of irreducible Casselman-Wallach representations of classical groups in the Archimedean case, and the conservation relation conjecture of Stephen S. Kudla and Stephen Rallis. He has also applied Howe correspondence to the structural study of degenerate representations and to the understanding of singularities for infinite-dimensional representations.
Selected works
Awards and honors
Zhu has been a Fellow of the Singapore National Academy of Science since 2014.
References
External links
Homepage of Chen-Bo Zhu
The Mathematics Genealogy Project – Chen-Bo Zhu
1964 births
Living people
Academic staff of the National University of Singapore
Chinese emigrants to Singapore
Educators from Ningbo
Mathematicians from Zhejiang
Scientists from Ningbo
Singaporean mathematicians
Yale University alumni
Zhejiang University alumni |
https://en.wikipedia.org/wiki/Nairi%20Sedrakyan | Nairi Sedrakyan (born 1961 in Ninotsminda, USSR) is Erdős Award 2022 winner Armenian mathematician involved in national and international Olympiads, including American Mathematics Competitions (USA) and IMO, having been the president of the Armenian Mathematics Olympiads, the Leader of Armenian IMO Team, a jury member and problem selection committee member of the International Mathematical Olympiad, a jury member and problem selection committee member of the Zhautykov International Mathematical Olympiad (IZhO), a jury member and problem selection committee member of the International Olympiad of Metropolises, the president and organizer of the International Mathematical Olympiad Tournament of the Towns in the Republic of Armenia (1986-2013). He has also authored a large number of problems proposed in these Olympiads. The government of Armenia awarded the author the title of the best teacher of Armenia and he received a special gift from the Prime Minister. Nairi Sedrakyan's son Hayk Sedrakyan is also a professional mathematician and former IMO competitor.
Nairi Sedrakyan is known for Sedrakyan's inequality.
Nairi Sedrakyan has authored 14 books and around 70 articles in different countries (USA, Switzerland, South Korea, Russia) on the topic of problem solving and Olympiad style mathematics.
Early life and education
Nairi Sedrakyan was born in the USSR in the town of Ninotsminda in the Georgian SSR. At the age of 14 years old he left Ninotsminda for Yerevan, Armenian SSR to advance his mathematical knowledge and to study mathematics at the PhysMath School after A. Shahinyan (Yerevan), one of the leading schools in Armenia. He continued his Bachelor, Master and PhD studies at the Yerevan State University in the faculty of Mathematics and Mechanics, widely regarded by students as one of the toughest faculties in the university.
Mathematics coaching and Olympiads
The students of Nairi Sedrakyan have obtained 20 medals (1 gold medal, 4 silver medals, 15 bronze medals, one of which was received by his son Hayk Sedrakyan) in the International Mathematical Olympiad, providing more than half of the medals that Armenia received in the history of its participation in the International Mathematical Olympiad. So far it is the single Gold Medal of Armenia in the International Mathematical Olympiad.
Honours
Awards
Erdos Award 2022 http://www.wfnmc.org/awards.html
Gold medal for contributions in the World's Olympic and scientific activities in mathematics. University of Riga and Latvian mathematical society.
The highest award of the Ministry of Education and Sciences of Armenia. Gold medal for Olympic activities in mathematics.
The best teacher of Armenia, 2000. Award of the Ministry of Education and Sciences of Armenia.
The best teacher of Armenia, 1993. Award of the Ministry of Education and Sciences of Armenia.
Special gift from the Prime Minister and the government of Armenia, 2000.
Books (published in USA, Switzerland, South Korea and Russia) |
https://en.wikipedia.org/wiki/Heike%20Hofmann | Heike Hofmann (born 16 April 1972) is a statistician and Professor in the Department of Statistics at Iowa State University.
Education
She earned an MSc in Mathematics, with a minor in Computer Science, and a PhD in Statistics, from the University of Augsburg, Augsburg, Germany in 1998 and 2000, respectively.
Career and research
Hoffman's research interests are in statistical graphics, exploratory data analysis, visual inference, visualization of large data and statistical computing She is currently Professor in the Department of Statistics at Iowa State University, and faculty member of the Bioinformatics and Computational Biology and Human Computer Interaction programs.
In her research on interactive data visualization she has provided new approaches for plotting multivariate categorical data using mosaic plots, and making interactions with these plots, and linking between plots. She was the primary development of the software MANET and contributed to the development of the software GGobi. More recent software include the R packages x3prplus, geomnet, nullabor, gglogo, peptider, discreteRV, ggboxplots, ggparallel, dbData, HLMdiag, lvboxplots, MergeGUI, MissingDataGUI. Her work on examining the inflow of corporate cash into the 2012 US presidential election can be read in Chance magazine.
Heike Hofmann is the author of more than 50 journal articles, conference proceedings, book chapters and edited one book. She is a Fellow of the American Statistical Association. She has supervised or co-supervised 8 doctoral theses, including Hadley Wickham and Yihui Xie.
Honors and awards
She was elected a Fellow of the American Statistical Association in 2014.
References
Living people
1972 births
Scientists from Augsburg
University of Augsburg alumni
American statisticians
German statisticians
Women statisticians
20th-century American women scientists
American women academics
Iowa State University faculty
Fellows of the American Statistical Association
R (programming language) people
21st-century American women |
https://en.wikipedia.org/wiki/Mosigra | Mosigra is a Russian company, one of the country’s largest federal networks of board games shops.
History
The company was founded in 2008 by a graduate of Mechanics and Mathematics Faculty of Moscow State University, Dmitry Kibkalo and his friend Dmitry Borisov. After university Kibkalo had worked for the press department of the FC Spartak, in the PR-agency IMA-consulting; his last post as an employee was an executive director of producing centre Kolizey Production Center.
Business emerged from the idea of a New Year gift: a printed and illustrated version of the board game The Jackal, invented by students and faculty of Moscow State University in the 1970s. Kibkalo hired an illustrator, but the producers refused to make only one piece, so he had ordered 100 copies of the game, having invested about 500 thousand rubles. Kibkalo could not arrange to sell the unused 80 copies at children's shops and bookstores. In November 2008, together with Borisov, he launched an online store. In addition to The Jackal partners presented 20 popular board games and in two months they got back the initial investment. After four months, they expanded the range of games to 100 names and opened a pick-up point near the Belorusskaya metro station.
In March 2009 Kibkalo and Borisov invested several hundred thousand rubles of their own funds into the opening of the first store near the Taganskaya metro station. It was followed by franchise stores in St. Petersburg and Kyiv. Soon Kibkalo quit the Kolizey and focused on development of Mosigra. In summer 2010, private entrepreneurs under the guarantee and security of the goods in the warehouse, received loans from Absolut Bank and Uniastrum and invested them in new stores. A separate company Magellan concentrated on development of their own games, localization of foreign games and production. The company began to present the news games to the market using this brand name. By the end of 2010, Mosigra had 16 stores, including 10 franchise shops, which originally did not suppose the payment of royalties and lump sum contributions: the condition was to work with a single supplier and organize game rooms. By 2012, the number of stores increased to 70. After that Mosigra revised the franchise terms and refused to expand in regions.
According to consulting company Gradient Alpha, by the end of 2013, the company controlled from 12 to 15% of board games in the Russian market. In March 2016 the network included 27 own stores and 41 franchised stores in Russia, Ukraine, Belarus and Kazakhstan, and a turnover of more than 600 million rubles.
Business model
In contrast to logical puzzles and strategic games (for example, Civilization and Catan), which formed the basic stock of special shops at the time when first Mosigra shop opened at Taganka, the company focused on casual games for big companies. Mosigra cooperates with major distributors of foreign manufacturers and Russian publishers of games and produces from 1 to 10 thous |
https://en.wikipedia.org/wiki/Jacobi%27s%20theorem%20%28geometry%29 | In plane geometry, a Jacobi point is a point in the Euclidean plane determined by a triangle and a triple of angles . This information is sufficient to determine three points such that
Then, by a theorem of , the lines are concurrent, at a point called the Jacobi point.
The Jacobi point is a generalization of the Fermat point, which is obtained by letting and having no angle being greater or equal to 120°.
If the three angles above are equal, then lies on the rectangular hyperbola given in areal coordinates by
which is Kiepert's hyperbola. Each choice of three equal angles determines a triangle center.
References
Weblinks
A simple proof of Jacobi's theorem written by Kostas Vittas
Theorems about triangles |
https://en.wikipedia.org/wiki/TWANG | TWANG, the Toolkit for Weighting and Analysis of Nonequivalent Groups, developed by the statistics group of the RAND Corporation, contains a set of functions to support Rubin causal modeling of observational data through the estimation and evaluation of propensity score weights by applying gradient boosting. It has been applied in several studies.
External links
Official website
CRAN site
References
Statistical software |
https://en.wikipedia.org/wiki/James%20Gow%20%28scholar%29 | James Gow (1854–1923) was an English scholar, educator, historian, and author, widely recognized for A Short History of Greek Mathematics. The history drew highly upon the work of Moritz Cantor, as well as upon pioneering works of Carl Anton Bretschneider, Hermann Hankel, and George Johnston Allman, but included material, e.g., gematria, not discussed by contemporary historians of mathematics.
Life
James Gow was the son of the artist James Gow (Sr.), who was a member of the Royal Society of British Artists. He married Gertrude Sydenham (the daughter of G. P. and M. A. Everett Green) with whom he had three sons.
Following an education at King's College School, he received his Master of Arts degree at Trinity College, Cambridge. Gow was a third Classic and Chancellor's Classical medalist in 1875 at Cambridge, and became a Fellow of Trinity College and of King's College, London in 1876. At Cambridge he earned Doctor of Letters in 1885 and served as University Extension Lecturer from 1876 to 1878. He was Barrister at Lincoln's Inn in 1875, President of the Headmaster's Association from 1900 to 1902, and Chairman of the Headmasters' Conference in 1906.
Gow was also Master of the Nottingham High School from 1885 to 1901, following which he became Headmaster of Westminster School. He also contributed articles to the 1911 Encyclopædia Britannica.
Works
(1884) A Short History of Greek Mathematics
(1888) A Companion to School Classics
(1895) Horace's Odes and Satires edited, with introduction and notes by James Gow
(1907) A Method of English for Secondary Schools, Part 1
References
External links
A Short History of Greek Mathematics (1884) (public domain) @GoogleBooks
1854 births
1923 deaths
19th-century English writers
British classical scholars
Fellows of King's College London
British historians of mathematics |
https://en.wikipedia.org/wiki/Topological%20recursion | In mathematics, topological recursion is a recursive definition of invariants of spectral curves.
It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot theory.
Introduction
The topological recursion is a construction in algebraic geometry. It takes as initial data a spectral curve: the data of , where: is a covering of Riemann surfaces with ramification points; is a meromorphic differential 1-form on , regular at the ramification points; is a symmetric meromorphic bilinear differential form on having a double pole on the diagonal and no residue.
The topological recursion is then a recursive definition of infinite sequences of symmetric meromorphic n-forms on , with poles at ramification points only, for integers g≥0 such that 2g-2+n>0. The definition is a recursion on the integer 2g-2+n.
In many applications, the n-form is interpreted as a generating function that measures a set of surfaces of genus g and with n boundaries. The recursion is on 2-2g+n the Euler characteristics, whence the name "topological recursion".
Origin
The topological recursion was first discovered in random matrices. One main goal of random matrix theory, is to find the large size asymptotic expansion of n-point correlation functions, and in some suitable cases, the asymptotic expansion takes the form of a power series. The n-form is then the gth coefficient in the asymptotic expansion of the n-point correlation function. It was found that the coefficients always obey a same recursion on 2g-2+n. The idea to consider this universal recursion relation beyond random matrix theory, and to promote it as a definition of algebraic curves invariants, occurred in Eynard-Orantin 2007 who studied the main properties of those invariants.
An important application of topological recursion was to Gromov–Witten invariants. Marino and BKMP conjectured that Gromov–Witten invariants of a toric Calabi–Yau 3-fold are the TR invariants of a spectral curve that is the mirror of .
Since then, topological recursion has generated a lot of activity in particular in enumerative geometry.
The link to Givental formalism and Frobenius manifolds has been established.
Definition
(Case of simple branch points. For higher order branchpoints, see the section Higher order ramifications below)
For and :
where is called the recursion kernel:
and is the local Galois involution near a branch point , it is such that .
The primed sum means excluding the two terms and .
For and :
with any antiderivative of .
The definition of and is more involved and can be found in the original article of Eynard-Orantin.
Main properties
Symmetry: each is a symmetric -form on .
poles: each is meromorphic, it has poles only at branchpoints, with vanishing residues.
Homogeneity: is homogeneous of degree . Under the change , we have .
Dilaton equation:
where .
Loop equations: The following forms have no poles at branchpoints
whe |
https://en.wikipedia.org/wiki/Sofie%20Van%20Houtven | Sofie van Houtven (born 3 August 1987) is a Belgian footballer. She plays as a goalkeeper for Genk Ladies and the Belgium women's national football team.
International statistics
As of 13 June 2017
Honours
Standard Liège
Belgian Women's Super League: 2008–09, 2010–11
Belgian Women's Cup: 2005–06
Belgian Women's Super Cup: 2008–09
References
External links
1987 births
Living people
Belgian women's footballers
Belgium women's international footballers
Women's association football goalkeepers
Standard Liège (women) players
Oud-Heverlee Leuven (women) players
KRC Genk Ladies players
BeNe League players
Super League Vrouwenvoetbal players
People from Bonheiden
Footballers from Antwerp Province |
https://en.wikipedia.org/wiki/Lee%20Bo-geun | Lee Bo-geun (born April 30, 1986) is a South Korean professional baseball pitcher currently playing for the Kiwoom Heroes of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Lee Bo-geun at Nexen Heroes Baseball Club
Kiwoom Heroes players
KBO League pitchers
South Korean baseball players
Hyundai Unicorns players
Seoul High School alumni
Baseball players from Seoul
South Korean Buddhists
1986 births
Living people |
https://en.wikipedia.org/wiki/Won%20Jong-hyun | Won Jong-hyun (born July 31, 1987) is a South Korean professional baseball pitcher currently playing for the NC Dinos of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Won Jong-hyun at NC Dinos Baseball Club
NC Dinos players
KBO League pitchers
South Korean baseball players
People from Gunsan
1987 births
Living people
2017 World Baseball Classic players
Sportspeople from North Jeolla Province
Jong-hyun |
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