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https://en.wikipedia.org/wiki/Computational%20Statistics%20%26%20Data%20Analysis | Computational Statistics & Data Analysis is a monthly peer-reviewed scientific journal covering research on and applications of computational statistics and data analysis. The journal was established in 1983 and is the official journal of the International Association for Statistical Computing, a section of the International Statistical Institute.
See also
List of statistics journals
References
External links
International Statistical Institute
Statistics journals
Academic journals established in 1983
Monthly journals
English-language journals
Elsevier academic journals |
https://en.wikipedia.org/wiki/Applications%20of%20p-boxes%20and%20probability%20bounds%20analysis | P-boxes and probability bounds analysis have been used in many applications spanning many disciplines in engineering and environmental science, including:
Engineering design
Expert elicitation
Analysis of species sensitivity distributions
Sensitivity analysis in aerospace engineering of the buckling load of the frontskirt of the Ariane 5 launcher
ODE models of chemical reactor dynamics
Pharmacokinetic variability of inhaled VOCs
Groundwater modeling
Bounding failure probability for series systems
Heavy metal contamination in soil at an ironworks brownfield
Uncertainty propagation for salinity risk models
Power supply system safety assessment
Contaminated land risk assessment
Engineered systems for drinking water treatment
Computing soil screening levels
Human health and ecological risk analysis by the U.S. EPA of PCB contamination at the Housatonic River Superfund site
Environmental assessment for the Calcasieu Estuary Superfund site
Aerospace engineering for supersonic nozzle thrust
Verification and validation in scientific computation for engineering problems
Toxicity to small mammals of environmental mercury contamination
Modeling travel time of pollution in groundwater
Reliability analysis
Endangered species assessment for reintroduction of Leadbeater's possum
Exposure of insectivorous birds to an agricultural pesticide
Climate change projections
Waiting time in queuing systems
Extinction risk analysis for spotted owl on the Olympic Peninsula
Biosecurity against introduction of invasive species or agricultural pests
Finite-element structural analysis
Cost estimates
Nuclear stockpile certification
Fracking risks to water pollution
Space Trajectory Optimisation
Asteroid Impact Probability
References
Probability bounds analysis |
https://en.wikipedia.org/wiki/Kavli%20Institute%20for%20the%20Physics%20and%20Mathematics%20of%20the%20Universe | The Kavli Institute for the Physics and Mathematics of the Universe (IPMU) is an international research institute for physics and mathematics situated in Kashiwa, Japan, near Tokyo. Its full name is "Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo Institutes for Advanced Study, the University of Tokyo, Kashiwa, Japan".
The main subjects of study at IPMU are particle physics, high energy physics, astrophysics, astronomy and mathematics. The institute addresses five key questions: "How did the universe begin? What is its fate? What is it made of? What are its fundamental laws? Why do we exist?"
History
The Institute for the Physics and Mathematics of the Universe was created on October 1, 2007, by its founding director Hitoshi Murayama and the University of Tokyo. It is funded by the Japanese Ministry of Science, as a part of their World Premier International Research Center Initiative. In 2012, the IPMU received an endowment from the Kavli Foundation and was renamed the Kavli Institute for the Physics and Mathematics of the Universe.
Members of IPMU
Many notable scientists are employed at the IPMU. Among them:
Takaaki Kajita
Mikhail Kapranov
Stavros Katsanevas
Young-Kee Kim
Toshiyuki Kobayashi
Hitoshi Murayama
Hiraku Nakajima
Yasunori Nomura
Hirosi Ooguri
David Spergel
Yuji Tachikawa
References
External links
Kavli IPMU site
Kavli Institute for the Physics and Mathematics of the Universe, Japan (video, 7:25)
Sixty Years of Science for Peace and Development (UN lecture, video, 13:17)
Research institutes in Japan
Physics research institutes
Mathematical institutes
Kavli Institutes
University of Tokyo |
https://en.wikipedia.org/wiki/William%20Ruger%20%28politician%29 | William Ruger (died May 21, 1843) was an American lawyer and politician from New York.
Life
About 1828, he opened a select school in Watertown, New York, and taught mathematics there. He published A New System of Arithmeticks (on-line copy; 1836; 264 pages). He also studied law, and was admitted to the bar in 1831. He practiced law in partnership with Charles Mason from 1835 to 1838.
Ruger was a member of the New York State Senate (5th D.) in 1842 and 1843.
Chief Judge William C. Ruger (1824–1892) was his nephew.
Sources
The New York Civil List compiled by Franklin Benjamin Hough (pages 133f and 145; Weed, Parsons and Co., 1858)
Year of birth unknown
1843 deaths
Democratic Party New York (state) state senators
Politicians from Watertown, New York |
https://en.wikipedia.org/wiki/AFC%20Futsal%20Club%20Championship%20records%20and%20statistics | This page details statistics of the AFC Futsal Club Championship
General performances
By Nation
Winners by club
All-time AFC Futsal Club Championship table (By Clubs)
As end of 2019 AFC Futsal Club Championship.
{|class="wikitable"
!Best Finish
|width=30px bgcolor=gold| ||Winner
|width=30px bgcolor=silver| ||Runners-up
|width=30px bgcolor=CC9966| ||Semifinals
|width=30px bgcolor=90EE90| ||Quarterfinals
|}
{| class="wikitable sortable" style=text-align:center
!Rank
!width=25%|Club
!Seasons
!Games
!W
!D
!L
!GF
!GA
!GD
!Pts
!
!
!
!
|- bgcolor=gold
| 1 ||align=left| Nagoya Oceans || 9 || 43 || 23 || 6 || 8 || 176 || 104 || +72 || 93 || 4 || || 3 || 1
|- bgcolor=gold
| 2 ||align=left| Chonburi Blue Wave || 8 || 32 || 19 || 7 || 6 || 130 || 79|| +51 || 64 || 2 || 1 || 1 ||1
|-bgcolor=silver
| 3 ||align=left| Thái Sơn Nam || 6 || 29 || 16 || 4 || 9 || 107 || 89 || +18 || 52 || || 1 || 3 ||
|- bgcolor=gold
| 4 ||align=left| Giti Pasand || 3 || 15 || 12 || 1 || 2 || 58 || 22 || +36 || 37 || 1 || 2 || ||
|-bgcolor=silver
| 5 ||align=left| Naft Al-Wasat || 5 || 23 || 11 || 4 || 8 || 88 || 75 || +13 || 37 || || 1 || 2 || 1
|-bgcolor=gold
| 6 ||align=left| Mes Sungun || 2 || 12 || 10 || 0 || 2 || 61 || 23 || +38 || 30 || 1 || 1 || ||
|-bgcolor=#CC9966
| 7 ||align=left| Bank of Beirut || 5 || 19 || 8 || 3 || 8 || 78 || 72 || +6 || 27 || || || 1 || 2
|- bgcolor=#CC9966
| 8 ||align=left| Al Rayyan || 5 || 22 || 7 || 2 || 13 || 61 || 89 || -28 || 23 || || || 3 || 1
|-bgcolor=gold
| 9 ||align=left| Tasisat Daryaei || 2 || 8 || 7 || 1 || 0 || 45 || 17 || +28 || 22 || 1 || || || 1
|- bgcolor=silver
| 10 ||align=left| Al Sadd || 3 || 12 || 6 || 0 || 6 || 57 || 44 || +13 || 18 || || 1 || || 1
|-bgcolor=#CC9966
| 11 ||align=left| Shenzhen Nanling || 5 || 18 || 5 || 3 || 10 || 55 || 76 || -21 || 18 || || || 2 ||1
|-bgcolor=#CC9966
| 12 ||align=left| Thai Port || 2 || 10 || 5 || 2 || 3 || 42 || 35 || +7 || 17 || || || 1 ||1
|- bgcolor=gold
| 13 ||align=left| Foolad Mahan || 1 || 5 || 5 || 0 || 0 || 36 || 9 || +27 || 15 || 1 || || ||
|- bgcolor=90EE90
| 14 ||align=left| Osh EREM || 3 || 10 || 5 || 0 || 5 || 26 || 38 || -12 || 15 || || || || 1
|-bgcolor=90EE90
| 15 ||align=left| Al Dhafrah || 3 || 10 || 4 || 1 || 5 || 29 || 25 || +4 || 13 || || || || 1
|-bgcolor=90EE90
| 16 ||align=left| Vamos Mataram || 3 || 11 || 4 || 1 || 6 || 34 || 36 || -2 || 13 || || || ||2
|- bgcolor=silver
| 17 ||align=left| Shahid Mansouri || 1 || 5 || 4 || 0 || 1 || 22 || 17 || +5 || 12 || || 1 || ||
|-bgcolor=silver
| 18 ||align=left| Al Qadsia || 2 || 8 || 3 || 2 || 3 || 38 || 37 || +1 || 11 || || 1 || ||
|- bgcolor=silver
| 19 ||align=left| Ardus || 3 || 11 || 3 || 2 || 6 || 34 || 35 || -1 || 11 || || 1 || ||
|-bgcolor=#CC9966
| 20 ||align=left| AGMK || 4 || 14 || 3 || 1 || 10 || 36 || 66 || -30 || 10 || || || 1 || 1
|- bgcolor=#CC9966
| 21 ||align=left| Al Sadaka || 2 || 8 || 2 || 2 || 4 || 24 || 24 || 0 || 8 || || || 1 ||
|-bgcolor=#CC9966
| 2 |
https://en.wikipedia.org/wiki/Institut%20de%20la%20statistique%20du%20Qu%C3%A9bec | The Institut de la statistique du Québec (or Quebec Statistical Institute in translation) is the governmental statistics agency of the Canadian province Quebec. It is responsible for producing, analyzing, and publishing official statistics to enhance knowledge, discussion and decision-making. The 1998 law that established it (with effect on April 1, 1999) states that it can also be referred to as Statistique Québec.
It is part of the Ministry of Finance of Quebec.
It grouped together four previous entities: the Bureau de la statistique du Québec, the Institut de recherche et d'information sur la rémunération, Santé Québec, and the personnel of the Ministry of Labour who were responsible for compiling salary information.
See also
Sub-national autonomous statistical services
United Nations Statistics Division
References
External links
Official website
Text of the establishing law
Quebec government departments and agencies
Government agencies established in 1999
Quebec
1999 establishments in Quebec |
https://en.wikipedia.org/wiki/List%20of%20Shandong%20Taishan%20F.C.%20records%20and%20statistics | This article contains records and statistics for the Chinese professional football club, Shandong Taishan F.C.
Domestic league competitions
Domestic cup competitions
Major international competitions
Top scorers by season
International Games
References
Shandong Taishan F.C. |
https://en.wikipedia.org/wiki/Thomas%20Gaskin | Thomas Gaskin (1810–1887) was an English clergyman and academic, now known for contributions to mathematics.
Life
After being educated at Sedbergh School between 1822 and 1827, he was admitted a sizar of St John's College, Cambridge in 1827. He was Second Wrangler in the Mathematical Tripos in 1831, behind Samuel Earnshaw. He was then a Fellow of Jesus College, Cambridge from 1832 to 1842, when he married. He became a Fellow of the Royal Astronomical Society in 1836, and of the Royal Society in 1839. In 1840 Gaskin and his fellow examiner J. Bowstead unilaterally abolished the Tripos system of viva voce examinations in Latin, which had become an obsolete formality.
Gaskin spent the latter part of his career as a private coach, moving to Cheltenham in 1855.
Works
Gaskin is now remembered for his work on the equation for the figure of the Earth, of Pierre-Simon Laplace. While it was important for geodesy, from a Cambridge point of view its introduction to the syllabus of the Tripos, as intended by William Whewell, proved troublesome. Whewell had George Biddell Airy write on it in his 1826 Tracts, but the solution of the equation appeared unmotivated. John Henry Pratt in Mathematical Principles of Mechanical Philosophy (1836) returned to the topic, clarifying it. Alexander John Ellis worked on the solution of the equation in 1836, as an undergraduate. Then in 1839 Gaskin produced a solution procedure by a differential operator method, setting the result of his investigation as a Tripos question. It immediately gained textbook status in the Differential Equations of John Hymers. The work proved seminal, influencing Robert Leslie Ellis to further developments of symbolic methods; and is credited with a stimulus to the On A General Method of Analysis (1844), the paper making the reputation of George Boole.
Gaskin published little original mathematics by the conventional route of the learned journal; but made his research public in Tripos questions (he was an examiner six times between 1835 and 1851). Later Edward Routh commented on the extensive adoption of Gaskin's problems into the common fund of understanding of the subject.
Notes
External links
1810 births
1887 deaths
19th-century English mathematicians
Alumni of St John's College, Cambridge
Fellows of the Royal Society
Fellows of Jesus College, Cambridge
19th-century English Anglican priests |
https://en.wikipedia.org/wiki/Nurtas%20Kurgulin | Nurtas Kurgulin (born 20 September 1986 in Taraz) is a Kazakh international footballer who plays for FC Taraz, as a midfielder.
Career
In December 2016, Kurgulin left FC Tobol.
Career statistics
International
Statistics accurate as of match played 5 June 2012
References
External links
1986 births
Living people
Kazakhstani men's footballers
Kazakhstan men's international footballers
Kazakhstan Premier League players
FC Taraz players
FC Tobol players
Men's association football midfielders
Sportspeople from Taraz |
https://en.wikipedia.org/wiki/2011%E2%80%9312%201.%20FC%20N%C3%BCrnberg%20season | The 2011–12 1. FC Nürnberg season is the 112nd season in the club's football history.
Match results
Legend
Bundesliga
DFB-Pokal
Player information
Roster and statistics
Transfers
In
Out
Kits
Sources
Match Reports
Other sources
1. FC Nürnberg seasons
Nuremberg |
https://en.wikipedia.org/wiki/Jean-Claude%20Sikorav | Jean-Claude Sikorav (born 21 June 1957) is a French mathematician. He is professor at the École normale supérieure de Lyon. He is specialized in symplectic geometry.
Main contributions
Sikorav is known for his proof, joint with François Laudenbach, of the Arnold conjecture for Lagrangian intersections in cotangent bundles, as well as for introducing generating families in symplectic topology.
Selected publications
Sikorav is one of fifteen members of a group of mathematicians who published the book Uniformisation des surfaces de Riemann under the pseudonym of Henri Paul de Saint-Gervais.
He has written the survey
.
and research papers
.
.
Honors
Sikorav is a Knight of the Ordre des Palmes Académiques.
References
External links
Home page at the École Normale Supérieure de Lyon
1957 births
École Normale Supérieure alumni
Living people
French mathematicians
Chevaliers of the Ordre des Palmes Académiques
Topologists
Lycée Louis-le-Grand alumni |
https://en.wikipedia.org/wiki/Eli%20Hurvitz%20%28Meridor%29 | Eli Hurvitz ( born 27 November 1970) is the executive director of the Trump Foundation, which "aims to serve as a catalyst for improving educational achievement in Israel in Mathematics and the Sciences" and former member of the Israel National Board of Education. Between 2000 and 2011 Hurvitz served as the deputy director of Yad Hanadiv, the Rothschild Family Foundation, and previously as an advisor to the Chairman of the Foreign Affairs and Defense Committee at the Knesset.
Biography
Hurvitz was born and educated in Jerusalem, to Yair (Esq.), former Director General of the State Comptroller of Israel, and Professor Haggit (M.D.), former Head of Pediatrics at the Bikur Holim Hospital. He is the first grandchild of Eliyahu Meridor, and is named after him. His uncles are Dan Meridor, former Deputy Prime Minister of Israel, and Sallai Meridor, former Israeli Ambassador to the US and Chairman of the Jewish Agency.
Hurvitz earned his B.A. and M.A. degrees magna cum laude at the Tel Aviv University’s School of History. His M.A. thesis, titled ‘The Military Wing of Hizballah: a Social Profile’ was published by the Dayan Center in 1999. From 2009 Hurvitz writes on social affairs and philanthropy for The Marker' daily newspaper and in a blog, labeled ‘The Fourth Generation’.
Career in Philanthropy
Between 2000 and 2011, Hurvitz served as the deputy director of Yad Hanadiv, with direct responsibility for planning, development, administration and monitoring of the foundation's programs and projects in Israel. He led a strategic and organizational change aimed to scale up activities, including the recruitment, training and mentoring of new staff. Hurvitz initiated the creation of institutions and served as director of those institutions founded by Yad Hanadiv, including: the Israel Institute for School Leadership, NPTech Technologies and Guidestar Israel, and the Hemda Science Teaching Centre. In the early 2000s, he led Yad-Hanadiv's efforts to establish a new National Library for Israel, and represented the foundation in the Committee for Changing the Status of the National Library of Israel, headed by Supreme Court Judge, Yitzhak Zamir.
In 2011, Hurvitz joined as executive director to set up the Trump Foundation, a new philanthropic foundation that aims to serve as a catalyst for improving educational achievement in Israel by cultivating high-quality teaching in schools with an emphasis on Mathematics and the Sciences. The foundation concentrates on three strategies which directly influence classroom instruction focusing on the talent, expertise and practice of teachers.
In 2012 Hurvitz joined the Hakol Chinuch Movement, as member of the board of directors. At the same year, Hurvitz was selected by The Marker Magazine as #87 at "Israel's 100 Most Influential People". in 2014 he was appointed by the Israeli government as member of the National Board of Education. In 2015 Hurvitz was selected by Yediot Ahronot Newspaper to the list of 'Israel's 50 Hero |
https://en.wikipedia.org/wiki/Beta%20rectangular%20distribution | In probability theory and statistics, the beta rectangular distribution is a probability distribution that is a finite mixture distribution of the beta distribution and the continuous uniform distribution. The support is of the distribution is indicated by the parameters a and b, which are the minimum and maximum values respectively. The distribution provides an alternative to the beta distribution such that it allows more density to be placed at the extremes of the bounded interval of support. Thus it is a bounded distribution that allows for outliers to have a greater chance of occurring than does the beta distribution.
Definition
Probability density function
If parameters of the beta distribution are α and β, and if the mixture parameter is θ, then the beta rectangular distribution has probability density function
where is the gamma function.
Cumulative distribution function
The cumulative distribution function is
where and is the regularized incomplete beta function.
Applications
Project management
The PERT distribution variation of the beta distribution is frequently used in PERT, critical path method (CPM) and other project management methodologies to characterize the distribution of an activity's time to completion.
In PERT, restrictions on the PERT distribution parameters lead to shorthand computations for the mean and standard deviation of the beta distribution:
where a is the minimum, b is the maximum, and m is the mode or most likely value. However, the variance is seen to be a constant conditional on the range. As a result, there is no scope for expressing differing levels of uncertainty that the project manager might have about the activity time.
Eliciting the beta rectangular's certainty parameter θ allows the project manager to incorporate the rectangular distribution and increase uncertainty by specifying θ is less than 1. The above expectation formula then becomes
If the project manager assumes the beta distribution is symmetric under the standard PERT conditions then the variance is
while for the asymmetric case it is
The variance can now be increased when uncertainty is larger. However, the beta distribution may still apply depending on the project manager's judgment.
The beta rectangular has been compared to the uniform-two sided power distribution and the uniform-generalized biparabolic distribution in the context of project management. The beta rectangular exhibited larger variance and smaller kurtosis by comparison.
Income distributions
The beta rectangular distribution has been compared to the elevated two-sided power distribution in fitting U.S. income data. The 5-parameter elevated two-sided power distribution was found to have a better fit for some subpopulations, while the 3-parameter beta rectangular was found to have a better fit for other subpopulations.
References
Continuous distributions
Compound probability distributions |
https://en.wikipedia.org/wiki/Generalized%20Clifford%20algebra | In mathematics, a Generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger.
Clock and shift matrices find routine applications in numerous areas of mathematical physics, providing the cornerstone of quantum mechanical dynamics in finite-dimensional vector spaces. The concept of a spinor can further be linked to these algebras.
The term Generalized Clifford Algebras can also refer to associative algebras that are constructed using forms of higher degree instead of quadratic forms.
Definition and properties
Abstract definition
The -dimensional generalized Clifford algebra is defined as an associative algebra over a field , generated by
and
.
Moreover, in any irreducible matrix representation, relevant for physical applications, it is required that
, and gcd. The field is usually taken to be the complex numbers C.
More specific definition
In the more common cases of GCA, the -dimensional generalized Clifford algebra of order has the property , for all j,k, and . It follows that
and
for all j,k,l = 1,...,n, and
is the th root of 1.
There exist several definitions of a Generalized Clifford Algebra in the literature.
Clifford algebra
In the (orthogonal) Clifford algebra, the elements follow an anticommutation rule, with .
Matrix representation
The Clock and Shift matrices can be represented by matrices in Schwinger's canonical notation as
.
Notably, , (the Weyl braiding relations), and (the discrete Fourier transform).
With , one has three basis elements which, together with , fulfil the above conditions of the Generalized Clifford Algebra (GCA).
These matrices, and , normally referred to as "shift and clock matrices", were introduced by J. J. Sylvester in the 1880s. (Note that the matrices are cyclic permutation matrices that perform a circular shift; they are not to be confused with upper and lower shift matrices which have ones only either above or below the diagonal, respectively).
Specific examples
Case
In this case, we have = −1, and
thus
,
which constitute the Pauli matrices.
Case
In this case we have = , and
and may be determined accordingly.
See also
Clifford algebra
Generalizations of Pauli matrices
DFT matrix
Circulant matrix
References
Further reading
(In The legacy of Alladi Ramakrishnan in the mathematical sciences (pp. 465–489). Springer, New York, NY.)
Algebras
Clifford algebras
Ring theory
Quadratic forms
Mathematical physics |
https://en.wikipedia.org/wiki/Helmut%20Hofer | Helmut Hermann W. Hofer (born February 28, 1956) is a German-American mathematician, one of the founders of the area of symplectic topology.
He is a member of the National Academy of Sciences, and the recipient of the 1999 Ostrowski Prize
and the 2013 Heinz Hopf Prize. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton, New Jersey. He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry. Hofer was elected to the American Academy of Arts and Sciences in 2020.
He was an invited speaker at the International Congress of Mathematicians (ICM) in 1990 in Kyoto and a plenary speaker at the ICM in 1998 in Berlin.
Selected publications
Notes
External links
Oberwolfach photos of Helmut Hofer
Geometers
20th-century German mathematicians
21st-century German mathematicians
Institute for Advanced Study faculty
Members of the United States National Academy of Sciences
Living people
1956 births
Courant Institute of Mathematical Sciences faculty
Academic staff of ETH Zurich
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/1942%E2%80%9343%20Galatasaray%20S.K.%20season | The 1942–43 season was Galatasaray SK's 39th in existence and the club's 31st consecutive season in the Istanbul Football League.
Squad statistics
Squad changes for the 1942–1943 season
In:
Competitions
Istanbul Football League
Classification
Matches
Kick-off listed in local time (EEST)
Milli Küme
Classification
Matches
Istanbul Futbol Kupası
Matches
References
Atabeyoğlu, Cem. 1453-1991 Türk Spor Tarihi Ansiklopedisi. page(155-159).(1991) An Grafik Basın Sanayi ve Ticaret AŞ
Tekil, Süleyman. Dünden bugüne Galatasaray, (1983), page(88, 123-125, 184). Arset Matbaacılık Kol.Şti.
Futbol vol.2. Galatasaray. Page: 565, 586. Tercüman Spor Ansiklopedisi. (1981)Tercüman Gazetecilik ve Matbaacılık AŞ.
1940 Milli Küme Maçları. Türk Futbol Tarihi vol.1. page(81). (June 1992) Türkiye Futbol Federasyonu Yayınları.
External links
Galatasaray Sports Club Official Website
Turkish Football Federation - Galatasaray A.Ş.
uefa.com - Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1942–43 season
1940s in Istanbul
Galatasaray Sports Club 1942–43 season |
https://en.wikipedia.org/wiki/Calcutta%20Girls%27%20College | Calcutta Girls' College, established in 1963, is a women's undergraduate college in Kolkata, West Bengal, India. It is affiliated with the University of Calcutta.
Departments
Science
Mathematics
Philosophy
Political Science
Arts and Commerce
Bengali
English
Hindi
Urdu
History
Political Science
Economics
Education
Commerce
Accounts
Accreditation
In 2007 the college has been accredited C++ by the National Assessment and Accreditation Council (NAAC).
Calcutta Girls' College is recognized by the University Grants Commission (UGC).
See also
List of colleges affiliated to the University of Calcutta
Education in India
Education in West Bengal
References
External links
Educational institutions established in 1963
University of Calcutta affiliates
Universities and colleges in Kolkata
Women's universities and colleges in West Bengal
1963 establishments in West Bengal |
https://en.wikipedia.org/wiki/Prym%20differential | In mathematics, a Prym differential of a Riemann surface is a differential form on the universal covering space that transforms according to some complex character of the fundamental group. Equivalently it is a section of a certain line bundle on the Riemann surface in the same component as the canonical bundle. Prym differentials were introduced by .
The space of Prym differentials on a compact Riemann surface of genus g has dimension g – 1, unless the character of the fundamental group is trivial, in which case Prym differentials are the same as ordinary differentials and form a space of dimension g.
References
Riemann surfaces |
https://en.wikipedia.org/wiki/V.%20Kumar%20Murty | Vijaya Kumar Murty (born 20 May 1956) is an Indo-Canadian mathematician working primarily in number theory. He is a professor at the University of Toronto and is the Director of the Fields Institute.
Early life and education
V. Kumar Murty is the brother of mathematician M. Ram Murty.
Murty obtained his BSc in 1977 from Carleton University and his PhD in mathematics in 1982 from Harvard University under John Tate.
Career
From 1982 to 1987, he held research positions at the Institute for Advanced Study at Princeton, Concordia University, and the Tata Institute of Fundamental Research. In 1987, he was appointed as Associate Professor at the Downtown campus of the University of Toronto, and 1991 he was promoted to Full Professor. In 2001, he was deputed to the Mississauga campus to serve a two-year term as Associate Chair of Mathematics, and from 2004 to 2007 he served as the inaugural Chair of the newly-created Department of Mathematical and Computational Sciences at the Mississauga campus. Twice he was Chair of the Department of Mathematics at the University of Toronto Downtown campus (2008-2013 and 2014-2017).
Murty became the director of Fields Institute in 2019.
Murty has served on the Canadian Mathematical Society Board of Directors and as vice president of the Canadian Mathematical Society.
Research
Murty’s research is in areas of analytic number theory, algebraic number theory, information security, and arithmetic algebraic geometry. He and his brother, M. Ram Murty, have written more than 20 joint papers.
In 2020, Murty received a $666,667 grant from the Canadian Institutes of Health Research (CIHR) for setting up the COVID-19 Mathematical Modelling Rapid Response Task Force, a network of experts who will work to predict outbreak trajectories for the disease, measure public health interventions and provide real-time advice to policy-makers. It’s one of eight COVID-19 research projects at the University of Toronto.
Awards
Murty was elected a Fields Institute Fellow in 2003. Murty received the Coxeter–James Prize in 1991 from the Canadian Mathematical Society. He was elected to the Royal Society of Canada in 1995. In 1996, he, along with his brother, M. Ram Murty, received the Ferran Sunyer i Balaguer Prize for the book "Non- of L-functions and their applications."
In 2018, the Canadian Mathematical Society listed him in their inaugural class of fellows. He was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to number theory, including the theory of L-functions associated to modular forms, and arithmetic geometry, and for service to the profession".
References
External links
Vijaya Kumar Murty: Home Page—University of Toronto, Department of Mathematics.
1956 births
Living people
Canadian mathematicians
20th-century Indian mathematicians
Harvard University alumni
Carleton University alumni
Canadian people of Indian descent
Fellows of the Canadian Mathematical Society
Number th |
https://en.wikipedia.org/wiki/Campbell%27s%20theorem | Campbell's theorem may refer to:
Campbell's theorem (geometry), which concerns the embedding of Riemannian manifolds and is named after J. E. Campbell.
Campbell's theorem (probability), which concerns the expected value of a function of a point process and is named after N. R. Campbell. |
https://en.wikipedia.org/wiki/Campbell%27s%20theorem%20%28probability%29 | In probability theory and statistics, Campbell's theorem or the Campbell–Hardy theorem is either a particular equation or set of results relating to the expectation of a function summed over a point process to an integral involving the mean measure of the point process, which allows for the calculation of expected value and variance of the random sum. One version of the theorem, also known as Campbell's formula, entails an integral equation for the aforementioned sum over a general point process, and not necessarily a Poisson point process. There also exist equations involving moment measures and factorial moment measures that are considered versions of Campbell's formula. All these results are employed in probability and statistics with a particular importance in the theory of point processes and queueing theory as well as the related fields stochastic geometry, continuum percolation theory, and spatial statistics.
Another result by the name of Campbell's theorem is specifically for the Poisson point process and gives a method for calculating moments as well as the Laplace functional of a Poisson point process.
The name of both theorems stems from the work by Norman R. Campbell on thermionic noise, also known as shot noise, in vacuum tubes, which was partly inspired by the work of Ernest Rutherford and Hans Geiger on alpha particle detection, where the Poisson point process arose as a solution to a family of differential equations by Harry Bateman. In Campbell's work, he presents the moments and generating functions of the random sum of a Poisson process on the real line, but remarks that the main mathematical argument was due to G. H. Hardy, which has inspired the result to be sometimes called the Campbell–Hardy theorem.
Background
For a point process defined on d-dimensional Euclidean space , Campbell's theorem offers a way to calculate expectations of a real-valued function defined also on and summed over , namely:
where denotes the expectation and set notation is used such that is considered as a random set (see Point process notation). For a point process , Campbell's theorem relates the above expectation with the intensity measure . In relation to a Borel set B the intensity measure of is defined as:
where the measure notation is used such that is considered a random counting measure. The quantity can be interpreted as the average number of points of the point process located in the set B.
First definition: general point process
One version of Campbell's theorem is for a general (not necessarily simple) point process with intensity measure:
is known as Campbell's formula or Campbell's theorem, which gives a method for calculating expectations of sums of measurable functions with ranges on the real line. More specifically, for a point process and a measurable function , the sum of over the point process is given by the equation:
where if one side of the equation is finite, then so is the other side. This equ |
https://en.wikipedia.org/wiki/David%20G.%20Heckel | David G. Heckel (born 1953) is an American entomologist.
Scientific career
After studying biology and mathematics at the University of Rochester, New York, he finished his undergraduate studies with a BA in biology & mathematics in 1975. He received his PhD in biological sciences from Stanford University in 1980. From 1980 until 1999 he worked as an Assistant, Associate and Full Professor at Clemson University, South Carolina. He was a Fulbright Fellow in Canberra, Australia, from 1996 until 1997. Since 1999 he was a Senior Lecturer at the University of Melbourne, Australia, until he became a Director and Scientific Member at the Max Planck Institute for Chemical Ecology in 2003 where he is head of the Department of Entomology. Since 2006 he is also an Honorary Professor at Friedrich Schiller University in Jena, Germany.
Heckel studies the adaptations and mechanisms by which herbivorous insects find and exploit their host plants. He explores how these adaptations interact with other stresses encountered in the environment. A major strategy in his research is to utilize the pattern of genetic variation existing between populations, races, or species; and by mapping the genes and evaluating candidates to identify the mechanisms involved. He also uses this approach to study the genetic and physiological mechanisms by which insects evolve resistance to chemical and biological insectides, especially Cry toxins (Bt) from the bacterium Bacillus thuringiensis. Additional focus is on patterns of genetic variability in host-races or pheromone-races of insects that appear to be in the process of forming new species.
Awards and honors
Phi Beta Kappa 1975
Fulbright Senior Scholar, Canberra, Australia, 1996–1997
John and Allan Gilmour Research Award, University of Melbourne, Australia, 2001
Woodward Medal for Science and Technology, University of Melbourne, Australia, 2001
Selected publications
Tabashnik, B. E., Liu, Y. B., Finson, N., Masson, L., Heckel, D. G. (1997). One gene in diamondback moth confers resistance to four Bacillus thuringiensis toxins. Proceedings of the National Academy of Sciences of the United States of America, 94(5), 1640-1644.
Heckel, D. G., Gahan, L. J., Liu, Y. B., Tabashnik, B. E. (1999). Genetic mapping of resistance to Bacillus thuringiensis toxins in diamondback moth using biphasic linkage analysis. Proceedings of the National Academy of Sciences of the United States of America, 96(15), 8373-8377.
Gahan, L. J., Gould, F., Heckel, D. G. (2001). Identification of a gene associated with Bt resistance in Heliothis virescens. Science, 293(5531), 857-860.
Asser-Kaiser, S., Fritsch, E., Undorf-Spahn, K., Kienzle, J., Eberle, K. E., Gund, N. A., Reineke, A., Zebitz, C. P. W., Heckel, D. G., Huber, J., Jehle, J. A. (2007). Rapid emergence of baculovirus resistance in codling moth due to dominant, sex-linked inheritance. Science, 317(5846), 1916-1918.
Freitak, D., Wheat, C. W., Heckel, D. G., Vogel, H. (2007). Immune s |
https://en.wikipedia.org/wiki/Aldo%20Andreotti | Aldo Andreotti (15 March 1924 – 21 February 1980) was an Italian mathematician who worked on algebraic geometry, on the theory of functions of several complex variables and on partial differential operators. Notably he proved the Andreotti–Frankel theorem, the Andreotti–Grauert theorem, the Andreotti–Vesentini theorem and introduced, jointly with François Norguet, the Andreotti–Norguet integral representation for functions of several complex variables.
Andreotti was a visiting scholar at the Institute for Advanced Study in 1951 and again from 1957 through 1959.
Selected publications
Aldo Andreotti published 100 scientific works, including papers, books and lecture notes: many of them, except all his books but , are collected in his "Selecta" . In his "Selecta" are also included three unpublished sets of lecture notes, the first one prepared by Philippe Artzner from a course on the theory of analytic functions of several complex variables held by Andreotti during winter 1961 at the University of Strasbourg, the second and third ones taken from two lectures held by Francesco Gherardelli at the "Seminario di Geometria" of the Scuola Normale Superiore during the years 1971–1972 and 1971–1972 respectively, on topics concerning his joint work with Andreotti: despite their nature of unpublished works, states that they have brought significant contributions to research.
Articles
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.
.
.
.
.
.
Books
.
.
.
. A short course in the theory of functions of several complex variables, held in February 1972 at the Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni "Beniamino Segre".
.
.
. The first volume of his selected works, collecting his and his coworkers contributions in algebraic geometry.
. The first part (tomo) of the second volume of his selected works, collecting his and his coworkers contributions to the theory of functions of several complex variables.
. The second part (tomo) of the second volume of his selected works, collecting his and his coworkers contributions to the theory of functions of several complex variables.
. The third and last volume of his selected works, collecting his and his coworkers contributions to the theory partial differential operators in the form of the study of complexes of differential operators.
See also
Bochner–Martinelli formula
Chain complexes
Cohomology
Notes
References
Biographical and general references
.
.
.
. Includes a publication list.
. A "commemoration" by a colleague and friend, including a publication list.
. The biographical and bibliographical entry (updated up to 1976) on Aldo Andreotti, published under the auspices of the Accademia dei Lincei in a book collecting many profiles of its living members up to 1976.
. Recollections on him by a coauthor, colleague and friend.
. "Recollection of Aldo Andreotti" is the commemoration of Andreotti held by Vesentini at the Sala degli Stemmi of the Scuola Normale Superiore on 2 May 1980.
. The "Premise" by Vesentini to the second |
https://en.wikipedia.org/wiki/Bolivia%20national%20football%20team%20records%20and%20statistics | The following is a list of the Bolivia national football team's competitive records and statistics.
Player records
Players in bold are still active, at least at club level.
Most caps
Most goals
Competition records
FIFA World Cup
Copa América
FIFA Confederations Cup
Pan American Games
Head-to-head record
The list shown below shows the national football team of Bolivia's all-time international record against opposing nations. The stats are composed of FIFA World Cup and Copa América, matches as well as numerous international friendly tournaments and matches.
The following tables show Bolivia's all-time international record, correct as of 28 March 2023 vs. .
AFC
CAF
CONCACAF
CONMEBOL
UEFA
Full Confederation record
References
Bolivia national football team records and statistics
National association football team records and statistics |
https://en.wikipedia.org/wiki/Royan%20%E2%80%93%20M%C3%A9dis%20Aerodrome | Royan – Médis Aerodrome is an aerodrome located east of Royan, France.
Statistics
References
Airports in Nouvelle-Aquitaine
Charente-Maritime
Airports established in 1910 |
https://en.wikipedia.org/wiki/Andreotti%E2%80%93Grauert%20theorem | In mathematics, the Andreotti–Grauert theorem, introduced by , gives conditions for cohomology groups of coherent sheaves over complex manifolds to vanish or to be finite-dimensional.
statement
Let be a (not necessarily reduced) complex analytic space, and a coherent analytic sheaf over X. Then,
for (resp. ), if is q-pseudoconvex (resp. q-pseudoconcave). (finiteness)
for , if is q-complete. (vanish)
Citations
References
External links
Complex manifolds
Theorems in abstract algebra |
https://en.wikipedia.org/wiki/Andreotti%E2%80%93Vesentini%20theorem | In mathematics, the Andreotti–Vesentini separation theorem, introduced by states that certain cohomology groups of coherent sheaves are separated.
References
.
.
Complex manifolds
Theorems in topology |
https://en.wikipedia.org/wiki/Jochum%20Nicolay%20M%C3%BCller | Jochum Nicolay Müller (born 1 February 1775 in Trondheim, Norway) was a Norwegian naval officer who, as a midshipman, excelled at mathematics. As a junior lieutenant he met Horatio Nelson, and as a captain commanded the Finnmark squadron. He finally rose to the rank of Vice Admiral in the independent Royal Norwegian Navy.
Career
J N Müller joined the navy as a volunteer cadet in 1789, becoming a midshipman four years later. At the naval academy he won the Gerner medal for excellence in mathematics in 1795 and graduated as a junior lieutenant in 1796. He was second in command of the cutter Forsvar on the Norwegian coast, before undertaking a cruise to the Danish West Indies on the frigate Iris. In April 1801, as war between Denmark and Britain approached, he was in command of the small gunboat Hajen (the heron).
Battle of Copenhagen (1801)
During the Battle of Copenhagen (1801), the little Hajen was posted beside the blockship Dannebrog with its crew of 357 men. The Danish defence line withstood nearly four hours of intense bombardment from the British fleet, returning fire in good measure, until the Dannebrog had lost one third of its complement, caught fire, and exploded. Hajen received a good proportion of the shots aimed at the Dannebrog and eventually had to strike. Müller was taken prisoner and conveyed to Nelson's flagship, where he came face to face with Horatio Nelson, the enemy himself. Müller described the admiral as a small, gaunt man with a strong presence, wearing a green Russian-style (kalmyk) overcoat and a three-cornered hat. The resolute, near crazy, defence had made a deep impression on the attackers. A British captain vouchsafed to Müller that never had the British navy experienced such a warm reception - not from the Dutch, the French or the Spanish! Later that year he served in the cadet training ship Fredericksværn and was promoted to senior lieutenant in 1802. In 1806, as captain of the pilot boat Allart. he sailed to Saint Petersburg where the ship was donated to the Russian navy. There Müller met Czar Alexander I when the latter came aboard.
Second Battle of Copenhagen (1807)
Müller was in command of the gunboat Flensborg in September 1807, when the British seized it and many other vessels after the Danes capitulated following the second Battle of Copenhagen. Flensborg did not make it back to Britain; she was lost in the storm in the Kattegat.
Finnmark 1810 and 1811
After a spell in 1808 - 1810 in command of a gunboat division on the Norwegian border with Sweden, Müller was promoted to captain and given command of the brig Lougen, which was to sail with HDMS Langeland to the North Cape of Norway together with three newly completed Norwegian Gunships. As commander of this Finnmark Squadron in 1810, he re-established Norway's control of the trade route to northern Russia, which British warships had interdicted. He was also instrumental in rebuilding the harbour defences at Hammerfest. While she was returning to Trondhe |
https://en.wikipedia.org/wiki/Ian%20Sneddon | Prof Ian Naismith Sneddon FRS FRSE FIMA OBE (8 December 1919 Glasgow, Scotland – 4 November 2000 Glasgow, Scotland) was a Scottish mathematician who worked on analysis and applied mathematics.
Life
Sneddon was born in Glasgow on 8 December 1919, the son of Mary Ann Cameron and Naismith Sneddon. He was educated at Hyndland School in Glasgow.
He studied mathematics and physics at the University of Glasgow, graduating with a BSc. He then went to the University of Cambridge, gaining an MA in 1941. From 1942 to 1945, during World War II, he served as a Scientific Officer to the Ministry of Supply. After the war he worked as a Research Officer for H H Wills Laboratory at the University of Bristol. In 1946, he began lecturing in Natural Philosophy (physics) at the University of Glasgow.
In 1950, he received a professorship at University College, North Staffordshire. In 1956, he returned to the University of Glasgow as Professor of Mathematics.
In 1958, he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Robert Alexander Rankin, Philip Ivor Dee, William Marshall Smart and Edward Copson. He won the Society's Makdougall-Brisbane Prize for the period 1956-58. In 1983, he was further elected a Fellow of the Royal Society of London.
He retired in 1985, and died in Glasgow on 4 November 2000.
Family
In 1943, he married Mary Campbell Macgregor.
Research
Sneddon's research was published widely including:
with Nevill Mott: Wave mechanics and its applications, 1948
Fourier transforms, 1951
Special functions of mathematical physics and chemistry, 1956
Elements of partial differential equations, 1957
with James George Defares: An introduction to the mathematics of medicine and biology, 1960
Mixed boundary problems in potential theory, 1966
Lectures on transform methods, 1967
with Morton Lowengrub: Crack problems in the classical theory of elasticity, 1969
The use of integral transforms, 1972
The linear theory of thermoelasticity, 1974
Encyclopaedic dictionary of mathematics for engineers and applied scientists, 1976
The use of operators of fractional integration in applied mathematics, 1979
with E. L. Ince: The solution of ordinary differential equations, 1987
Awards and honours
Sneddon received Honorary Doctorates from Warsaw University (1873), Heriot-Watt University (1982) University of Hull (1983) and University of Strathclyde (1984).
References
Fellows of the Royal Society
Fellows of the Royal Society of Edinburgh
Scientists from Glasgow
1919 births
2000 deaths
20th-century Scottish mathematicians
Alumni of the University of Glasgow |
https://en.wikipedia.org/wiki/Sara%20Billey | Sara Cosette Billey (born February 6, 1968 in Alva, Oklahoma, United States) is an American mathematician working in algebraic combinatorics. She is known for her contributions on Schubert polynomials, singular loci of Schubert varieties, Kostant polynomials, and Kazhdan–Lusztig polynomials often using computer verified proofs. She is currently a professor of mathematics at the University of Washington.
Billey did her undergraduate studies at the Massachusetts Institute of Technology, graduating in 1990.
She earned her Ph.D. in mathematics in 1994 from the University of California, San Diego, under the joint supervision of Adriano Garsia and Mark Haiman. She returned to MIT as a postdoctoral researcher with Richard P. Stanley, and continued there as an assistant and associate professor until 2003, when she moved to the University of Washington.
In 2012, she became a fellow of the American Mathematical Society. She also was an AMS Council member at large from 2005 to 2007.
Publications
Selected books
Selected articles
References
External links
1968 births
Massachusetts Institute of Technology School of Science alumni
University of California, San Diego alumni
Massachusetts Institute of Technology faculty
University of Washington faculty
Combinatorialists
20th-century American mathematicians
21st-century American mathematicians
Living people
American women mathematicians
Fellows of the American Mathematical Society
People from Alva, Oklahoma
Mathematicians from Oklahoma
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women
Recipients of the Presidential Early Career Award for Scientists and Engineers |
https://en.wikipedia.org/wiki/Barry%20Edward%20Johnson | Barry Edward Johnson (1 Aug 1937 Woolwich, London, England – 5 May 2002 Newcastle upon Tyne, England) was an English mathematician who worked on operator algebras. He was elected a fellow of the Royal Society in 1978.
References
1937 births
2002 deaths
People from Woolwich
English mathematicians
Fellows of the Royal Society |
https://en.wikipedia.org/wiki/John%20Robert%20Ringrose | John Robert Ringrose (born 21 December 1932) is an English mathematician working on operator algebras who introduced nest algebras. He was elected a Fellow of the Royal Society in 1977. In 1962, Ringrose won the Adams Prize.
Works
with Richard V. Kadison: Fundamentals of the theory of operator algebras, 4 vols., Academic Press 1983, 1986, 1991, 1992 (2nd edn. American Mathematical Society 1997)
Compact non self-adjoint operators, van Nostrand 1971
See also
Pisier–Ringrose inequality
References
English mathematicians
Fellows of the Royal Society
1932 births
Living people |
https://en.wikipedia.org/wiki/Thomae%27s%20formula | In mathematics, Thomae's formula is a formula introduced by relating theta constants to the branch points of a hyperelliptic curve .
History
In 1824 the Abel–Ruffini theorem established that polynomial equations of a degree of five or higher could have no solutions in radicals. It became clear to mathematicians since then that one needed to go beyond radicals in order to express the solutions to equations of the fifth and higher degrees. In 1858, Charles Hermite, Leopold Kronecker, and Francesco Brioschi independently discovered that the quintic equation could be solved with elliptic transcendents. This proved to be a generalization of the radical, which can be written as:
With the restriction to only this exponential, as shown by Galois theory, only compositions of Abelian extensions may be constructed, which suffices only for equations of the fourth degree and below. Something more general is required for equations of higher degree, so to solve the quintic, Hermite, et al. replaced the exponential by an elliptic modular function and the integral (logarithm) by an elliptic integral. Kronecker believed that this was a special case of a still more general method. Camille Jordan showed that any algebraic equation may be solved by use of modular functions. This was accomplished by Thomae in 1870. Thomae generalized Hermite's approach by replacing the elliptic modular function with even more general Siegel modular forms and the elliptic integral by a hyperelliptic integral. Hiroshi Umemura expressed these modular functions in terms of higher genus theta functions.
Formula
If we have a polynomial function:
with irreducible over a certain subfield of the complex numbers, then its roots may be expressed by the following equation involving theta functions of zero argument (theta constants):
where is the period matrix derived from one of the following hyperelliptic integrals. If is of odd degree, then,
Or if is of even degree, then,
This formula applies to any algebraic equation of any degree without need for a Tschirnhaus transformation or any other manipulation to bring the equation into a specific normal form, such as the Bring–Jerrard form for the quintic. However, application of this formula in practice is difficult because the relevant hyperelliptic integrals and higher genus theta functions are very complex.
References
Riemann surfaces
Theorems in number theory
Polynomials
Equations
Modular forms |
https://en.wikipedia.org/wiki/Beez%27s%20theorem | In mathematics, Beez's theorem, introduced by Richard Beez in 1875, implies that if n > 3 then in general an (n – 1)-dimensional hypersurface immersed in Rn cannot be deformed.
References
Theorems in differential geometry |
https://en.wikipedia.org/wiki/SEMMA | SEMMA is an acronym that stands for Sample, Explore, Modify, Model, and Assess. It is a list of sequential steps developed by SAS Institute, one of the largest producers of statistics and business intelligence software. It guides the implementation of data mining applications. Although SEMMA is often considered to be a general data mining methodology, SAS claims that it is "rather a logical organization of the functional tool set of" one of their products, SAS Enterprise Miner, "for carrying out the core tasks of data mining".
Background
In the expanding field of data mining, there has been a call for a standard methodology or a simple list of best practices for the diversified and iterative process of data mining that users can apply to their data mining projects regardless of industry. While the Cross Industry Standard Process for Data Mining or CRISP-DM, founded by the European Strategic Program on Research in Information Technology initiative, aimed to create a neutral methodology, SAS also offered a pattern to follow in its data mining tools.
Phases of SEMMA
The phases of SEMMA and related tasks are the following:
Sample. The process starts with data sampling, e.g., selecting the data set for modeling. The data set should be large enough to contain sufficient information to retrieve, yet small enough to be used efficiently. This phase also deals with data partitioning.
Explore. This phase covers the understanding of the data by discovering anticipated and unanticipated relationships between the variables, and also abnormalities, with the help of data visualization.
Modify. The Modify phase contains methods to select, create and transform variables in preparation for data modeling.
Model. In the Model phase the focus is on applying various modeling (data mining) techniques on the prepared variables in order to create models that possibly provide the desired outcome.
Assess. The last phase is Assess. The evaluation of the modeling results shows the reliability and usefulness of the created models.
Criticism
SEMMA mainly focuses on the modeling tasks of data mining projects, leaving the business aspects out (unlike, e.g., CRISP-DM and its Business Understanding phase). Additionally, SEMMA is designed to help the users of the SAS Enterprise Miner software. Therefore, applying it outside Enterprise Miner may be ambiguous. However, in order to complete the "Sampling" phase of SEMMA a deep understanding of the business aspects would have to be a requirement in order to do effective sampling. So, in effect, a business understanding would be required to effectively complete sampling.
See also
Cross Industry Standard Process for Data Mining
References
Applied data mining |
https://en.wikipedia.org/wiki/Bochner%27s%20theorem%20%28Riemannian%20geometry%29 | In mathematics, Salomon Bochner proved in 1946 that any Killing vector field of a compact Riemannian manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite.
Discussion
The theorem is a corollary of Bochner's more fundamental result which says that on any connected Riemannian manifold of negative Ricci curvature, the length of a nonzero Killing vector field cannot have a local maximum. In particular, on a closed Riemannian manifold of negative Ricci curvature, every Killing vector field is identically zero. Since the isometry group of a complete Riemannian manifold is a Lie group whose Lie algebra is naturally identified with the vector space of Killing vector fields, it follows that the isometry group is zero-dimensional. Bochner's theorem then follows from the fact that the isometry group of a closed Riemannian manifold is compact.
Bochner's result on Killing vector fields is an application of the maximum principle as follows. As an application of the Ricci commutation identities, the formula
holds for any vector field on a pseudo-Riemannian manifold. As a consequence, there is
In the case that is a Killing vector field, this simplifies to
In the case of a Riemannian metric, the left-hand side is nonpositive at any local maximum of the length of . However, on a Riemannian metric of negative Ricci curvature, the right-hand side is strictly positive wherever is nonzero. So if has a local maximum, then it must be identically zero in a neighborhood. Since Killing vector fields on connected manifolds are uniquely determined from their value and derivative at a single point, it follows that must be identically zero.
Notes
References
Theorems in differential geometry |
https://en.wikipedia.org/wiki/Kentaro%20Yano%20%28mathematician%29 | Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on differential geometry who introduced the Bochner–Yano theorem.
He also published a classical book about geometric objects (i.e., sections of natural fiber bundles) and Lie derivatives of these objects.
Publications
Les espaces à connexion projective et la géométrie projective des paths, Iasi, 1938
Geometry of Structural Forms (Japanese), 1947
Groups of Transformations in Generalized Spaces, Tokyo, Akademeia Press, 1949
with Salomon Bochner: Curvature and Betti Numbers, Princeton University Press, Annals of Mathematical Studies, 1953
2020 reprint
Differential geometry on complex and almost complex spaces, Macmillan, New York 1965
Integral formulas in Riemannian Geometry, Marcel Dekker, New York 1970
with Shigeru Ishihara: Tangent and cotangent bundles: differential geometry, New York, M. Dekker 1973
with Masahiro Kon: Anti-invariant submanifolds, Marcel Dekker, New York 1976
Morio Obata (ed.): Selected papers of Kentaro Yano, North Holland 1982
with Masahiro Kon: CR Submanifolds of Kählerian and Sasakian Manifolds, Birkhäuser 1983 2012 reprint
with Masahiro Kon: Structures on Manifolds, World Scientific 1984
References
External links
Differential geometers
20th-century Japanese mathematicians
1993 deaths
1912 births |
https://en.wikipedia.org/wiki/Castelnuovo%20curve | In algebraic geometry, a Castelnuovo curve, studied by , is a curve in projective space Pn of maximal genus g among irreducible non-degenerate curves of given degree d.
Castelnuovo showed that the maximal genus is given by the Castelnuovo bound
where m and ε are the quotient and remainder when dividing d–1 by n–1.
Castelnuovo described the curves satisfying this bound, showing in particular that they lie on either a rational normal scroll or on the Veronese surface.
References
Algebraic curves |
https://en.wikipedia.org/wiki/Turkmenistan%20national%20football%20team%20records%20and%20statistics | This is a list of Turkmenistan national football team's all kinds of competitive records.
Individual records
Player records
Most capped players
Top goalscorers
Manager records
Team records
Competition records
FIFA World Cup
AFC Asian Cup
2010 AFC Challenge Cup was used to determine qualification for the 2011 AFC Asian Cup qualification
Asian Games
Note: As of 2002, only U23 teams are allowed to participate in the Asian Games' football tournament.
AFC Challenge Cup
Central Asian Championship
RCD Cup/ECO Cup
Head-to-head record
The list shown below shows the Turkmenistan national football team all-time international record against opposing nations.
Turkmenistan was supposed to face Brunei in the 2014 AFC Challenge Cup qualifiers but the latter withdrew from the tournament. Turkmenistan was awarded a 3-goal victory for the supposed match.
FIFA ranking record
References
FIFA.com
World Football Elo Ratings: Turkmenistan
records
National association football team records and statistics |
https://en.wikipedia.org/wiki/Insensitivity%20to%20sample%20size | Insensitivity to sample size is a cognitive bias that occurs when people judge the probability of obtaining a sample statistic without respect to the sample size. For example, in one study, subjects assigned the same probability to the likelihood of obtaining a mean height of above six feet [183 cm] in samples of 10, 100, and 1,000 men. In other words, variation is more likely in smaller samples, but people may not expect this.
In another example, Amos Tversky and Daniel Kahneman asked subjects
A certain town is served by two hospitals. In the larger hospital about 45 babies are born each day, and in the smaller hospital about 15 babies are born each day. As you know, about 50% of all babies are boys. However, the exact percentage varies from day to day. Sometimes it may be higher than 50%, sometimes lower.
For a period of 1 year, each hospital recorded the days on which more than 60% of the babies born were boys. Which hospital do you think recorded more such days?
The larger hospital
The smaller hospital
About the same (that is, within 5% of each other)
56% of subjects chose option 3, and 22% of subjects respectively chose options 1 or 2. However, according to sampling theory the larger hospital is much more likely to report a sex ratio close to 50% on a given day than the smaller hospital which requires that the correct answer to the question is the smaller hospital (see the law of large numbers).
Relative neglect of sample size were obtained in a different study of statistically sophisticated psychologists.
Tversky and Kahneman explained these results as being caused by the representativeness heuristic, according to which people intuitively judge samples as having similar properties to their population without taking other considerations into effect. A related bias is the clustering illusion, in which people under-expect streaks or runs in small samples. Insensitivity to sample size is a subtype of extension neglect.
To illustrate this point, Howard Wainer and Harris L. Zwerling demonstrated that kidney cancer rates are lowest in counties that are mostly rural, sparsely populated, and located in traditionally Republican states in the Midwest, the South, and the West, but that they are also highest in counties that are mostly rural, sparsely populated, and located in traditionally Republican states in the Midwest, the South, and the West. While various environmental and economic reasons could be advanced for these facts, Wainer and Zwerlig argue that this is an artifact of sample size. Because of the small sample size, the incidence of a certain kind of cancer in small rural counties is more likely to be further from the mean, in one direction or another, than the incidence of the same kind of cancer in much more heavily populated urban counties.
References
Cognitive biases |
https://en.wikipedia.org/wiki/Conley%E2%80%93Zehnder%20theorem | In mathematics, the Conley–Zehnder theorem, named after Charles C. Conley and Eduard Zehnder, provides a lower bound for the number of fixed points of Hamiltonian diffeomorphisms of standard symplectic tori in terms of the topology of the underlying tori. The lower bound is one plus the cup-length of the torus (thus 2n+1, where 2n is the dimension of the considered torus), and it can be strengthen to the rank of the homology of the torus (which is 22n) provided all the fixed points are non-degenerate, this latter condition being generic in the C1-topology.
The theorem was conjectured by Vladimir Arnold, and it was known as the Arnold conjecture on fixed points of symplectomorphisms. Its validity was later extended to more general closed symplectic manifolds by Andreas Floer and several others.
References
Dynamical systems
Fixed points (mathematics)
Theorems in analysis |
https://en.wikipedia.org/wiki/Rational%20normal%20scroll | In mathematics, a rational normal scroll is a ruled surface of degree n in projective space of dimension n + 1. Here "rational" means birational to projective space, "scroll" is an old term for ruled surface, and "normal" refers to projective normality (not normal schemes).
A non-degenerate irreducible surface of degree m – 1 in Pm is either a rational normal scroll or the Veronese surface.
Construction
In projective space of dimension m + n + 1 choose two complementary linear subspaces of dimensions m > 0 and n > 0. Choose rational normal curves in these two linear subspaces, and choose an isomorphism φ between them. Then the rational normal surface consists of all lines joining the points x and φ(x). In the degenerate case when one of m or n is 0, the rational normal scroll becomes a cone over a rational normal curve. If m < n then the rational normal curve of degree m is uniquely determined by the rational normal scroll and is called the directrix of the scroll.
References
Algebraic geometry |
https://en.wikipedia.org/wiki/Mats%20Paulson | Mats Paulson (born Maths Paul Ingemar Paulsson; 28 January 1938 – 19 September 2021) was a Swedish singer, poet, songwriter, and painter. He released his first disc in 1964; Tango i Hagalund. He wrote hundreds of songs, among them Barfotavisan, Baggenslåten and Visa vid vindens ängar. He worked together with artists, among them Alexander Rybak and Håkan Hellström.
References
External links
1938 births
2021 deaths
Swedish male singers
Swedish poets
Swedish male writers
Swedish composers
Swedish male composers
20th-century Swedish painters
Swedish male painters
21st-century Swedish painters
Swedish male poets
People from Linköping
20th-century Swedish male artists
21st-century Swedish male artists |
https://en.wikipedia.org/wiki/Baer%20group | In mathematics, a Baer group is a group in which every cyclic subgroup is subnormal. Every Baer group is locally nilpotent.
Baer groups are named after Reinhold Baer.
References
Properties of groups |
https://en.wikipedia.org/wiki/Buchsbaum%20ring | In mathematics, Buchsbaum rings are Noetherian local rings such that every system of parameters is a weak sequence.
A sequence of the maximal ideal is called a weak sequence if for all .
They were introduced by and are named after David Buchsbaum.
Every Cohen–Macaulay local ring is a Buchsbaum ring. Every Buchsbaum ring is a generalized Cohen–Macaulay ring.
References
Commutative algebra
Ring theory |
https://en.wikipedia.org/wiki/Totally%20imaginary%20number%20field | In algebraic number theory, a number field is called totally imaginary (or totally complex) if it cannot be embedded in the real numbers. Specific examples include imaginary quadratic fields, cyclotomic fields, and, more generally, CM fields.
Any number field that is Galois over the rationals must be either totally real or totally imaginary.
References
Section 13.1 of
Algebraic number theory |
https://en.wikipedia.org/wiki/Enneagram%20%28geometry%29 | In geometry, an enneagram (🟙 U+1F7D9) is a nine-pointed plane figure. It is sometimes called a nonagram, nonangle, or enneagon.
The word 'enneagram' combines the numeral prefix ennea- with the Greek suffix -gram. The gram suffix derives from γραμμῆς (grammēs) meaning a line.
Regular enneagram
A regular enneagram is a 9-sided star polygon. It is constructed using the same points as the regular enneagon, but the points are connected in fixed steps. Two forms of regular enneagram exist:
One form connects every second point and is represented by the Schläfli symbol {9/2}.
The other form connects every fourth point and is represented by the Schläfli symbol {9/4}.
There is also a star figure, {9/3} or 3{3}, made from the regular enneagon points but connected as a compound of three equilateral triangles. (If the triangles are alternately interlaced, this results in a Brunnian link.) This star figure is sometimes known as the star of Goliath, after {6/2} or 2{3}, the star of David.
Other enneagram figures
The nine-pointed star or enneagram can also symbolize the nine gifts or fruits of the Holy Spirit.
In popular culture
The heavy metal band Slipknot previously used the {9/3} star figure enneagram and currently uses the {9/4} polygon as a symbol. The prior figure can be seen on the cover of All Hope Is Gone.
See also
List of regular star polygons
Baháʼí symbols
References
Bibliography
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 26. pp. 404: Regular star-polytopes Dimension 2)
External links
Nonagram -- from Wolfram MathWorld
9 (number)
09 |
https://en.wikipedia.org/wiki/Enneagram | Enneagram is a compound word derived from the Greek neoclassical stems for "nine" (ennea) and something "written" or "drawn" (gramma). Enneagram may refer to:
Enneagram (geometry), a nine-sided star polygon with various configurations
Enneagram of Personality, a model of human personality illustrated by an enneagram figure
Fourth Way enneagram, a diagram used in the teachings of G. I. Gurdjieff and others associated with the Fourth Way school
See also
Gram (disambiguation)
Enneagon, a nine-sided polygon
Ennead, a group of nine Egyptian deities given the Greek name Enneás, a calque of the Egyptian name meaning "the Nine" |
https://en.wikipedia.org/wiki/Chasles%E2%80%93Cayley%E2%80%93Brill%20formula | In algebraic geometry, the Chasles–Cayley–Brill formula, also known as the Cayley–Brill formula, states that a correspondence T of valence k from an algebraic curve C of genus g to itself has d + e + 2kg united points, where d and e are the degrees of T and its inverse.
Michel Chasles introduced the formula for genus g = 0, Arthur Cayley stated the general formula without proof, and Alexander von Brill gave the first proof.
The number of united points of the correspondence is the intersection number of the correspondence with the diagonal Δ of C×C.
The correspondence has valence k if and only if it is homologous to a linear combination a(C×1) + b(1×C) – kΔ where Δ is the diagonal of C×C. The Chasles–Cayley–Brill formula follows easily from this together with the fact that the self-intersection number of the diagonal is 2 – 2g.
References
Algebraic curves
Theorems in algebraic geometry |
https://en.wikipedia.org/wiki/Jorge%20Luis%20Borges%20and%20mathematics | Jorge Luis Borges and mathematics concerns several modern mathematical concepts found in certain essays and short stories of Argentinian author Jorge Luis Borges (1899-1986), including concepts such as set theory, recursion, chaos theory, and infinite sequences, although Borges' strongest links to mathematics are through Georg Cantor's theory of infinite sets, outlined in "The Doctrine of Cycles" (La doctrina de los ciclos). Some of Borges' most popular works such as "The Library of Babel" (La Biblioteca de Babel), "The Garden of Forking Paths" (El Jardín de Senderos que se Bifurcan), "The Aleph" (El Aleph), an allusion to Cantor's use of the Hebrew letter aleph () to denote cardinality of transfinite sets, and "The Approach to Al-Mu'tasim" (El acercamiento a Almotásim) illustrate his use of mathematics.
According to Argentinian mathematician Guillermo Martínez, Borges at least had a knowledge of mathematics at the level of first courses in algebra and analysis at a university – covering logic, paradoxes, infinity, topology and probability theory. He was also aware of the contemporary debates on the foundations of mathematics.
Infinity and cardinality
His 1939 essay "Avatars of the Tortoise" (Avatares de la Tortuga) is about infinity, and he opens by describing the book he would like to write on infinity: “five or seven years of metaphysical, theological, and mathematical training would prepare me (perhaps) for properly planning that book.”
In Borges' 1941 story, "The Library of Babel", the narrator declares that the collection of books of a fixed number of orthographic symbols and pages is unending. However, since the permutations of twenty-five orthographic symbols is finite, the library has to be periodic and self-repeating.
In his 1975 short story "The Book of Sand" (El Libro de Arena), he deals with another form of infinity; one whose elements are a dense set, that is, for any two elements, we can always find another between them. This concept was also used in the physical book the short-story came from, The Book of Sand book. The narrator describes the book as having pages that are "infinitely thin", which can be interpreted either as referring to a set of measure zero, or of having infinitesimal length, in the sense of second order logic.
In his 1936 essay "The Doctrine of Cycles" (La doctrina de los ciclos), published in his essay anthology of the same year Historia de la eternidad, Borges speculated about a universe with infinite time and finite mass: "The number of all the atoms that compose the world is immense but finite, and as such only capable of a finite (though also immense) number of permutations. In an infinite stretch of time, the number of possible permutations must be run through, and the universe has to repeat itself. Once again you will be born from a belly, once again your skeleton will grow, once again this same page will reach your identical hands, once again you will follow the course of all the hours of y |
https://en.wikipedia.org/wiki/List%20of%20census%20agglomerations%20in%20Alberta | A census agglomeration is a census geographic unit in Canada determined by Statistics Canada. A census agglomeration comprises one or more adjacent census subdivisions that has a core population of 10,000 or greater. It is eligible for classification as a census metropolitan area once it reaches a population of 100,000.
At the 2016 Census, the Province of Alberta had 15 census agglomerations, down from 16 in the 2011 Census. At the 2011 Census, the Province of Alberta had 16 census agglomerations, up from 14 in the 2006 Census.
The former CA of Lethbridge was promoted to a census metropolitan area in 2016.
List
The following is a list of the census agglomerations within Alberta.
See also
Census geographic units of Canada
List of Canadian census agglomerations by province or territory
List of census agglomerations in Canada
List of designated places in Alberta
List of municipalities in Alberta
List of population centres in Alberta
References
External links
Statistics Canada – Census
Census agglomerations |
https://en.wikipedia.org/wiki/Hessian%20equation | In mathematics, k-Hessian equations (or Hessian equations for short) are partial differential equations (PDEs) based on the Hessian matrix. More specifically, a Hessian equation is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k ≥ 2, the k-Hessian equation is a fully nonlinear partial differential equation. It can be written as , where , , and , are the eigenvalues of the Hessian matrix and , is a th elementary symmetric polynomial.
Much like differential equations often study the actions of differential operators (e.g. elliptic operators and elliptic equations), Hessian equations can be understood as simply eigenvalue equations acted upon by the Hessian differential operator. Special cases include the Monge–Ampère equation and Poisson's equation (the Laplacian being the trace of the Hessian matrix). The 2−hessian operator also appears in conformal mapping problems. In fact, the 2−hessian equation is unfamiliar outside Riemannian geometry and elliptic regularity theory, that is closely related to the scalar curvature operator, which provides an intrinsic curvature for a three-dimensional manifold.
These equations are of interest in geometric PDEs (a subfield at the interface between both geometric analysis and PDEs) and differential geometry.
References
Further reading
.
Partial differential equations |
https://en.wikipedia.org/wiki/Conway%20algebra | In mathematics, a Conway algebra, introduced by and named after John Horton Conway, is an algebraic structure with two binary operations | and * and an infinite number of constants a1, a2,..., satisfying certain identities. Conway algebras can be used to construct invariants of links that are skein invariant.
References
Knot theory
John Horton Conway |
https://en.wikipedia.org/wiki/Benedict%20Freedman | Benedict Freedman (December 19, 1919 – February 24, 2012) was an American novelist and mathematician, the co-author of Mrs. Mike and a professor of mathematics at Occidental College in Los Angeles.
Life
Upbringing
Freedman was born to a Jewish family in New York City. His father, David, emigrated to America from Romania. He studied at Columbia University from ages 13 to 16, but dropped out without graduating after the death of his father. He took up his father's profession as a radio writer, and moved to the west coast where he worked for MGM Studios.
Career
Writing
Freedman met his wife Nancy Freedman in 1940, when she was trying to break into acting. They married in 1941 despite her poor health; during the war Freedman continued to write, but also worked as an aeronautical engineer for Hughes Aircraft. The couple wrote their 1947 novel, Mrs. Mike, based on the real-life adventures of their friend Katherine Mary Flannigan who married a Mountie and moved from Boston to the Canadian wilderness. It became a bestseller and inspired a 1950 film adaptation. The two Freedmans wrote nine more novels together, and Freedman also continued to write for the entertainment industry, including credits in 1960 for the television show My Favorite Martian.
Mathematics
In his 40s, Freedman began studying mathematics. He earned a bachelor's degree and a Ph.D. from the University of California, Los Angeles in 1968 and 1970 respectively; his thesis, on the topic of intuitionistic logic, was supervised by Yiannis N. Moschovakis. On earning his doctorate, he joined the Occidental faculty, where he also came to head the general studies program. He retired in 1995.
Family
Freedman's son, Michael Freedman, is also a noted mathematician, and they have collaborated. Freedman's two daughters also work in academia as a musician at the University of California, Berkeley and as the director of the medical humanities program at the University of California, Irvine. He died in 2012 in Corte Madera, California.
References
1919 births
2012 deaths
20th-century American novelists
American male novelists
American radio writers
Jewish American writers
American television writers
American male television writers
20th-century American mathematicians
21st-century American mathematicians
Mathematical logicians
University of California, Los Angeles alumni
Occidental College faculty
Columbia University alumni
Novelists from New York (state)
American male screenwriters
20th-century American male writers
Screenwriters from New York (state)
Screenwriters from California
21st-century American Jews |
https://en.wikipedia.org/wiki/Recession%20cone | In mathematics, especially convex analysis, the recession cone of a set is a cone containing all vectors such that recedes in that direction. That is, the set extends outward in all the directions given by the recession cone.
Mathematical definition
Given a nonempty set for some vector space , then the recession cone is given by
If is additionally a convex set then the recession cone can equivalently be defined by
If is a nonempty closed convex set then the recession cone can equivalently be defined as
for any choice of
Properties
If is a nonempty set then .
If is a nonempty convex set then is a convex cone.
If is a nonempty closed convex subset of a finite-dimensional Hausdorff space (e.g. ), then if and only if is bounded.
If is a nonempty set then where the sum denotes Minkowski addition.
Relation to asymptotic cone
The asymptotic cone for is defined by
By the definition it can easily be shown that
In a finite-dimensional space, then it can be shown that if is nonempty, closed and convex. In infinite-dimensional spaces, then the relation between asymptotic cones and recession cones is more complicated, with properties for their equivalence summarized in.
Sum of closed sets
Dieudonné's theorem: Let nonempty closed convex sets a locally convex space, if either or is locally compact and is a linear subspace, then is closed.
Let nonempty closed convex sets such that for any then , then is closed.
See also
Barrier cone
References
Convex analysis |
https://en.wikipedia.org/wiki/Inuvik%20Region%2C%20Northwest%20Territories%20%28former%20census%20division%29 | Inuvik Region was a former Statistics Canada census division, one of two in the Northwest Territories, Canada. It was abolished in the 2011 census, along with the other census division of Fort Smith Region, and the land area of the Northwest Territories was divided into new census divisions named Region 1, Region 2, Region 3, Region 4, Region 5, Region 6.
It is not to be confused with the modern-day Inuvik Region administrative region, which is smaller. The administrative region coincides territorially with modern-day census division Region 1; the census division included all of the modern-day Region 1 as well as a part of Region 2. For example, the border of the former Inuvik and Fort Smith census divisions ran through the middle of Great Bear Lake, but the lake is entirely outside of the Inuvik administrative region. The communities of Norman Wells, Colville Lake and Fort Good Hope were part of the census division, but not the administrative region.
It comprised the northern and western part of the Northwest Territories, with its main economic centre in the town of Inuvik. The 2006 census reported a population of 9,192 and a land area of . This represented about 23 percent of the population and about 46 percent of the land area of the Northwest Territories.
Census Division communities
Towns
Inuvik
Norman Wells
Hamlets
Aklavik
Fort McPherson
Holman (Ulukhaktok)
Sachs Harbour
Tuktoyaktuk
Tulita
Chartered communities
Deline
Tsiigehtchic
Settlements
Colville Lake
Fort Good Hope
Paulatuk
References
Inuvik Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Dieudonn%C3%A9%27s%20theorem | In mathematics, Dieudonné's theorem, named after Jean Dieudonné, is a theorem on when the Minkowski sum of closed sets is closed.
Statement
Let be a locally convex space and nonempty closed convex sets. If either or is locally compact and (where gives the recession cone) is a linear subspace, then is closed.
References
Convex analysis
Theorems in functional analysis |
https://en.wikipedia.org/wiki/Region%201%2C%20Northwest%20Territories | Region 1 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 2, 3, 4, 5 and 6, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
Its territorial extent coincides with the Inuvik Region administrative region, which is somewhat smaller than the former census division of the same name.
It comprises the northern and western part of the Northwest Territories, with its main economic centre in the town of Inuvik. The 2011 census reported a population of 6,712 and a land area of .
Main languages in the Region include English (85.2%), Inuvialuktun (7.4%), Gwich'in (3.6%), Inuktitut (1.4%) and French (1.1%)
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 1 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
Town
Inuvik
Hamlets
Aklavik
Fort McPherson
Paulatuk
Sachs Harbour
Tuktoyaktuk
Ulukhaktok
Chartered community
Tsiigehtchic
References
Inuvik Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Region%202%2C%20Northwest%20Territories | Region 2 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 1, 3, 4, 5 and 6, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
Its territorial extent coincides very closely with the Sahtu Region administrative region.
The 2011 census reported a population of 2,341 and a land area of .
Main languages in the Region include English (71.6%) and Slavey (25.9%)
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 2 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
Towns
Norman Wells
Hamlets
Tulita
Chartered communities
Deline
Fort Good Hope
Settlements
Colville Lake
References
Sahtu Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Region%206%2C%20Northwest%20Territories | Region 6 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 1, 2, 3, 4, and 5, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). It includes the city of Yellowknife, and has the largest population by far of any of the six census divisions. Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
Its territorial outside boundary coincides roughly with the North Slave Region administrative region; however, Region 3 forms a sizeable enclave within it.
The 2011 census reported a population of 19,444 and a land area of .
Main languages in the Region include English (80.7%), French (4.6%), Tagalog (2.7%) and Tlicho (1.9%).
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 6 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
City
Yellowknife
Settlements
Dettah
References
North Slave Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Region%203%2C%20Northwest%20Territories | Region 3 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 1, 2, 4, 5, and 6, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
It is located within the North Slave Region administrative region and is entirely surrounded by Region 6. The region has the same communities as the Monfwi electoral district.
The 2011 census reported a population of 2,812 and a land area of .
Main languages in the Region include Tlicho (57.4%) and English (41.0%)
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 3 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
Community governments
Behchoko
Gamèti
Whatì
Wekweeti
References
North Slave Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Region%205%2C%20Northwest%20Territories | Region 5 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 1, 2, 3, 4, and 6, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
Its territory coincides roughly with much of the South Slave Region administrative region; however, it does not include the extreme western part of South Slave Region centered on Fort Providence, west of Great Slave Lake.
The 2011 census reported a population of 6,907 and a land area of .
Main languages in the Region include English (86.4%), Dene (4.0%), French (2.2%), Slavey (1.6%) and Cree (1.5%).
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 5 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
Towns
Fort Smith
Hay River
Hamlets
Fort Resolution
Settlements
Enterprise
Łutselk'e
Reliance
Indian reserves
Salt Plains
References
South Slave Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/Region%204%2C%20Northwest%20Territories | Region 4 is the name of a Statistics Canada census division, one of six in the Northwest Territories, Canada. It was introduced in the 2011 census, along with Regions 1, 2, 3, 5, and 6, resulting in the abolition of the former census divisions of Fort Smith Region and Inuvik Region (the latter not to be confused with the modern-day administrative region of the same name). Unlike in some other provinces, census divisions do not reflect the organization of local government in the Northwest Territories. These areas exist solely for the purposes of statistical analysis and presentation; they have no government of their own.
Its territory coincides roughly with the Dehcho Region and the extreme western part of South Slave Region that is centered on Fort Providence, west of Great Slave Lake.
The 2011 census reported a population of 3,246 and a land area of .
Main languages in the Region include English (62.8%), Slavey (33.6%) and Dene (1.7%).
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Region 4 of the Northwest Territories had a population of living in of its total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021.
Communities
Village
Fort Simpson
Hamlets
Fort Liard
Fort Providence
Settlements
Jean Marie River
Kakisa
Nahanni Butte
Trout Lake
Wrigley
Indian reserve
Hay River Reserve (Hay River Dene)
References
Dehcho Region
South Slave Region
Census divisions of the Canadian territories |
https://en.wikipedia.org/wiki/2010%E2%80%9311%201.%20FC%20N%C3%BCrnberg%20season | The 2010–11 1. FC Nürnberg season was the 111th season in the club's football history.
Match results
Legend
Bundesliga
DFB-Pokal
Player information
Roster and statistics
Transfers
In
Out
Kits
Sources
1. FC Nürnberg seasons
Nuremberg |
https://en.wikipedia.org/wiki/Standard%20deviation%20%28disambiguation%29 | Standard deviation is a widely used measure of variability or diversity used in statistics and probability theory.
Standard Deviation(s) may also refer to:
"Standard Deviation" (Everybody Loves Raymond), an episode of Everybody Loves Raymond
"Standard Deviation", an episode of Eerie, Indiana: The Other Dimension
Standard Deviations (album), a 2003 album by the Fullerton College Jazz Band
Standard Deviations (exhibition), a 2011–12 exhibition of digital typefaces at the Museum of Modern Art, New York
Standard Deviation (record label), Ukrainian record label |
https://en.wikipedia.org/wiki/2011%20FAM%20Youth%20Championship | Statistics of FAM Youth Championship in the 2011 season.
In 2011, The Championship was named as Maldivian FA Youth Cup, for the under-20 players.
Overview
Maziya Sports & Recreation Club won the championship by beating New Radiant SC by 1-0 in the final. Mohamed Shah scored the only goal for them in the first half.
Teams
7 teams participated in the competition, and they were divided into two groups. 4 teams for Group A and 3 teams to Group B.
Group A
New Radiant Sports Club
Club Eagles
Club All Youth Linkage
Victory Sports Club
Group B
Club Valencia
VB Sports Club
Maziya Sports & Recreation Club
Group stage
Group A
Group B
Play-offs
Page play-offs
Semi-final
Final
Awards
All the awards were given by the Maldivian Football legend Moosa Manik.
Best three players
Ali Haisham (New Radiant SC)
Abdul Wahid Mohamed (Club Valencia)
Mohamed Thasmeen (Maziya S&RC)
Top goal scorer
Ali Haisham (New Radiant SC)
Abdul Basith (New Radiant SC)
Best goal keeper
Ismail Fathih (Maziya S&RC)
Best coach
Mohamed Suwaid (Maziya S&RC)
Fair play team
Maziya S&RC
References
FAM Youth Championship
4 |
https://en.wikipedia.org/wiki/List%20of%20census%20agglomerations%20in%20Canada | A census agglomeration is a census geographic unit in Canada determined by Statistics Canada. A census agglomeration comprises one or more adjacent census subdivisions that has a core population of 10,000 or greater. It is eligible for classification as a census metropolitan area once it reaches a population of 100,000.
At the 2011 Census, Canada had 114 census agglomerations.
List
The following is a list of the census agglomerations within Canada.
See also
Census geographic units of Canada
List of Canadian census agglomerations by province or territory
List of metropolitan areas in Canada
References
External links
Statistics Canada – Census
Census agglomerations |
https://en.wikipedia.org/wiki/Trinity%20Academy%20Grammar | Trinity Academy Grammar, formerly known as Trinity Academy Sowerby Bridge, is a coeducational secondary school in Sowerby Bridge, Calderdale, West Yorkshire, England. The school specialises in maths and computing, and is attended by over 1000 students.
History
Originally the School which became Sowerby Bridge High School, then later Trinity Academy Grammar, existed in conjunction with the Sowerby Bridge Technical Institute in the Town Hall Chambers on Wharf Street in Sowerby Bridge. In January 1903 it was decided the School should move into the proposed Public Library & Technical Institute on Hollins Mill Lane however this plan did not come to fruition and instead opened as a single storey Carnegie library. In 1905 the new School on Albert Road was opened at Sowerby Bridge Secondary School. This later became Sowerby Bridge Grammar School.
In the 1990s the school reverted from its Grammar School status to a High School. Sowerby Bridge High School was assessed by Ofsted throughout the 2000s and 2010s which showed a downfall in standards at the School until, on 18 October 2016, the School was deemed inadequate and thereafter closed on 30 September 2018 in late 2018 the school was placed under Trinity Multi-Academy Trust and renamed Trinity Academy Sowerby Bridge. In 2021 the school was renamed Trinity Academy Grammar. As of July 2022 no further Ofsted report has been carried out.
Alumni and notable staff
(Sowerby Bridge Grammar School)
Roger Hargreaves - Author (Mr. Men)
Sally Wainwright - TV drama writer
Peter Brook (painter) - Head of Art, painter, particularly of Pennine landscapes, elected to the Royal Society of British Artists 1962
References
External links
Secondary schools in Calderdale
Academies in Calderdale
Sowerby Bridge |
https://en.wikipedia.org/wiki/Gregory%20Freiman | Gregory Abelevich Freiman (born 1926) is a Russian mathematician known for his work in additive number theory, in particular, for proving Freiman's theorem. He is Professor Emeritus in Tel Aviv University.
Biographical sketch
Freiman was born in Kazan in 1926. He graduated from Moscow University in 1949, and obtained his Candidate of Sciences in Kazan University in 1956. From 1956 he worked in Elabuga, and in 1965 he defended his Doctor of Sciences degree under the joint supervision of Alexander Gelfond, Alexey G. Postnikov, and Alexander Buchstab. From 1967 he worked in Vladimir, and later in Kalinin (now Tver).
In the 1970s and early 1980s Freiman participated in the refusenik movement. His samizdat essay It seems I am a Jew, described the discrimination against Jewish mathematicians in the Soviet Union. It was published in the US in 1980.
Later, Freiman was driven out of Russia for his different views. He chose Israel as his new home country, leaving his son, daughter, and wife. In Israel he became professor in Tel Aviv University, and met a woman who he then married. They are still together to this day.
Selected publications
with Boris M. Schein:
with Boris L. Granovsky:
Notes
Living people
1926 births
Russian Jews
Israeli people of Russian-Jewish descent
Israeli Jews
Israeli mathematicians
Number theorists
Academic staff of Tel Aviv University
Additive combinatorialists |
https://en.wikipedia.org/wiki/Crank%20conjecture | In mathematics, the crank conjecture was a conjecture about the existence of the crank of a partition that separates partitions of a number congruent to 6 mod 11 into 11 equal classes. The conjecture was introduced by and proved by .
References
Number theory
Conjectures that have been proved |
https://en.wikipedia.org/wiki/Ileana%20Streinu | Ileana Streinu is a Romanian-American computer scientist and mathematician, the Charles N. Clark Professor of Computer Science and Mathematics at Smith College in Massachusetts. She is known for her research in computational geometry, and in particular for her work on kinematics and structural rigidity.
Biography
Streinu did her undergraduate studies at the University of Bucharest in Romania. She earned two doctorates in 1994, one in mathematics and computer science from the University of Bucharest under the supervision of Solomon Marcus and one in computer science from Rutgers University under the supervision of William L. Steiger. She joined the Smith computer science department in 1994, was given a joint appointment in mathematics in 2005, and became the Charles N. Clark Professor in 2009. She also holds an adjunct professorship in the computer science department at the University of Massachusetts Amherst.
At Smith, Streinu is director of the Biomathematical Sciences Concentration and has been the co-PI on a million-dollar grant shared between four schools to support this activity.
Awards and honors
In 2006, Streinu won the Grigore Moisil Award of the Romanian Academy for her work with Ciprian Borcea using complex algebraic geometry to show that every minimally rigid graph with fixed edge lengths has at most 4n different embeddings into the Euclidean plane, where n denotes the number of distinct vertices of the graph.
In 2010, Streinu won the David P. Robbins Prize of the American Mathematical Society for her combinatorial solution to the carpenter's rule problem. In this problem, one is given an arbitrary simple polygon with flexible vertices and rigid edges, and must show that it can be manipulated into a convex shape without ever introducing any self-crossings. Streinu's solution augments the input to form a pointed pseudotriangulation, removes one convex hull edge from this graph, and shows that this edge removal provides a single degree of freedom allowing the polygon to be made more convex one step at a time.
In 2012 she became a fellow of the American Mathematical Society.
Selected publications
.
.
References
External links
Web site at Smith College
Year of birth missing (living people)
Living people
American computer scientists
Romanian emigrants to the United States
20th-century American mathematicians
21st-century American mathematicians
Romanian computer scientists
Romanian women computer scientists
20th-century Romanian mathematicians
American women computer scientists
American women mathematicians
University of Bucharest alumni
Rutgers University alumni
Smith College faculty
Researchers in geometric algorithms
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
21st-century Romanian mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Chaminda%20Jayasundara | Chaminda Chiran Jayasundara obtained his bachelor's degree in Statistics from the University of Ruhuna, Sri Lanka in 2000, MSc in Information Management from the University of Sheffield, UK in 2002 and Doctor of Literature and Philosophy in Information Science from the University of South Africa in 2010. He has worked at the University of Colombo Library as the Deputy University Librarian, Fiji National University as the University Librarian, Sir John Kotelawala Defence University as the University Librarian and currently the University Librarian of the University of Kelaniya.
Dr. Jayasundara was a member of the steering committee formulated for the automation of Colombo Public Library in 2005. From 2007 to 2012, he worked as the Sri Lanka Country Coordinator of the International Network for the Availability of Scientific Publications (INASP) in UK and also Project Leader of the Sida/SAREC library support programme in Sri Lanka. He was appointed as a Consultant Librarian to the National Centre for Advancement of Humanities and Social Sciences of the University Grants Commission of Sri Lanka and he worked there till the end of 2011 as a consultant to the centre. He has been functioning as a researcher, research article reviewer for a number of peer-reviewed journals published in USA, South Africa, Venezuela, India and Sri Lanka. In 2006, he worked as a consultant to the Maldives Law Library, at the request of the Maldivian government, and he also acted as a visiting facilitator to the Master of Public Administration degree programme conducted by the Sri Lanka Institute of Development Administration in Sri Lanka which is a government owned venture for training of civil servants in the country. He severed as a visiting lecturer in Information Management and Information Science for various faculties at the University of Colombo, and also the coordinator of its master's degree programme in Library and Information Science, Postgraduate Diploma in Information Systems Management and Masters in Information Systems Management.
He has introduced some undergraduate and postgraduate degree programmes at postgraduate level including but not limited to Postgraduate Diploma in Information Systems Management leading to Masters in Information Systems Management at the Faculty of Graduate Studies, University of Colombo, Diploma in Library and Information Management programme in 2004 at the National Institute of Library and Information Sciences. He was the in-charge of the curriculum planning and development committees of different academic programmes and he was mainly responsible for developing curriculum for Research methods for information work, Information Systems Project Management and Business Information modules. He was the pioneer for introducing Higher Education Certificate, higher Education Diploma and Bachelor of Library and Information Systems programmes at the Fiji National University in 2012.
He has also functioned as co-chairs of different i |
https://en.wikipedia.org/wiki/Kevin%20Freiberger | Kevin Freiberger (born 16 November 1988) is a German football forward who plays for Gütersloh.
Career statistics
1.Includes DFB-Pokal.
2.Includes Regionalliga playoff.
References
External links
1988 births
Living people
Footballers from Essen
German men's footballers
Men's association football midfielders
SC Verl players
VfL Bochum players
VfL Bochum II players
SV Wacker Burghausen players
Sportfreunde Lotte players
VfL Osnabrück players
Rot-Weiss Essen players
Chemnitzer FC players
FC Gütersloh players
2. Bundesliga players
3. Liga players
Regionalliga players
Oberliga (football) players |
https://en.wikipedia.org/wiki/1907%E2%80%9308%20Fenerbah%C3%A7e%20S.K.%20season | The 1907-1908 season was the first season for Fenerbahçe. The club played some friendly matches against local clubs.
Squad statistics
Friendly Matches
Kick-off listed in local time (EEST)
External links
Fenerbahçe Sports Club Official Website
macanilari.com Fenerbahçe Maçları Arşivi
Fenerbahçe S.K. (football) seasons
Turkish football clubs 1907–08 season |
https://en.wikipedia.org/wiki/Dieudonn%C3%A9%20plank | In mathematics, the Dieudonné plank is a specific topological space introduced by . It is an example of a metacompact space that is not paracompact.
The notion has since been generalized (by Barr et al.) to that of an absolute CR-epic space.
References
Topology |
https://en.wikipedia.org/wiki/Atiyah%E2%80%93Jones%20conjecture | In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli spaces of instantons. The original form of the conjecture considered instantons over a 4-dimensional sphere. It was introduced by and proved by . The more general version of the Atiyah–Jones conjecture is a question about the homology of the moduli spaces of instantons on any 4-dimensional real manifold, or on a complex surface. The Atiyah–Jones conjecture has been proved for ruled surfaces by R. J. Milgram and J. Hurtubise, and for rational surfaces by Elizabeth Gasparim. The conjecture remains unproved for other types of 4 manifolds.
References
Topology
Quantum chromodynamics
Conjectures that have been proved |
https://en.wikipedia.org/wiki/Dagmar%20R.%20Henney | Dagmar Renate Kirchner Henney (born May 6, 1931) is a German-born American mathematician and former professor of calculus, finite mathematics, and measure and integration at George Washington University in Washington, DC.
Early life and education
Henney was born in Berlin, Germany as Dagmar Renate Kirchner to Albert, a scientist, and Margot Kirchner. Though her father was Catholic, Henney's mother was Jewish, which made her a target of the Nazi Party. During the war, Henney's mother was taken to Auschwitz where she later died. Not long after, Henney and her father went on the run; splitting their time between the cities of Berlin and Hamburg in an effort to avoid the Nazi Party. In an interview, Henney recalled that at one point during this period, she found twenty bombshells scattered on her front lawn.
As a Jewish child, Henney was not allowed to enroll in a formal school during the war years. Her father taught her chess and mathematics at home, rewarding her with a mathematical problem set if she won a game.
At age 10, Henney took the admittance exam for admission to the Abitur High School in Hamburg, Germany, from which she would graduate. When recalling one of the questions given to her in the exam, Henney remembered that "there were questions about a frog climbing a flag pole...he'd climb up a few centimeters and then slip back", and that it was her job to "figure how long it would take him to climb the pole."
At the age of 21, Henney moved to the United States in pursuit of a college degree. She had accumulated 63 transferable credits from her high school studies, and was able to matriculate rapidly at the University of Miami in Miami, Florida. She continued to study mathematics, taking classes in nuclear physics and advanced calculus. It was also at this time that she developed a secondary interest in linguistic studies. Henney found a mentor in professor of linguistics Jack Reynolds. She enrolled in classes such as Middle English, Old English, and Chaucer linguistics. In addition to her coursework, Henney took on part-time jobs in Miami. She worked as a movie theater cashier, making 57 cents an hour, and taught classes at the university, teaching up to twelve credits a semester. At the age of 24, three years after she enrolled, Henney graduated from the University of Miami with a Bachelor of Science degree with a major in physics and a minor in mathematics and chemistry, as well as a Master of Science degree in pure mathematics. It was during her freshman year at the University of Miami, Henney met her future husband, Alan G. Henney, in a nuclear physics class.
After graduating from the University of Miami, Henney and her husband moved to Takoma Park, Maryland, in order to allow her husband to accept a position at the Naval Ordnance Laboratory. She began work on her doctorate at the University of Maryland at College Park, where she taught 18 credits of classes and oversaw the departments of off-campus classes. The latter made her r |
https://en.wikipedia.org/wiki/Nagata%27s%20conjecture | In algebra, Nagata's conjecture states that Nagata's automorphism of the polynomial ring k[x,y,z] is wild. The conjecture was proposed by and proved by .
Nagata's automorphism is given by
where .
For the inverse, let
Then and .
With this and .
References
Field (mathematics)
Theorems in algebra |
https://en.wikipedia.org/wiki/Abhyankar%27s%20inequality | Abhyankar's inequality is an inequality involving extensions of valued fields in algebra, introduced by .
Abhyankar's inequality states that for an extension K/k of valued fields, the transcendence degree of K/k is at least the transcendence degree of the residue field extension plus the rank of the quotient of the valuation groups; here the rank of an abelian group is defined as .
References
Field (mathematics)
Commutative algebra
Theorems in abstract algebra |
https://en.wikipedia.org/wiki/List%20of%20Vancouver%20Whitecaps%20FC%20records%20and%20statistics | Vancouver Whitecaps FC is a Canadian professional soccer team based in Vancouver, British Columbia that competes in Major League Soccer (MLS). The Whitecaps are the 17th team of Major League Soccer and replaced the USSF Division 2 team of the same name, which was owned and managed by the same group that operates the MLS team, and which played through the conclusion of that league's 2010 season. The MLS team is the third to share the legacy of the Whitecaps name.
This is a list of franchise records for the Vancouver Whitecaps during the MLS period, dating from the 2011 MLS season to the present.
Honours
Domestic competitions
Canadian Championship
Winners (3): 2015, 2022, 2023
Runners-up (5): 2011, 2012, 2013, 2016, 2018
Minor trophies
Cascadia Cup
Winners (3): 2013, 2014, 2016
Walt Disney World Pro Soccer Classic
Winners (1): 2012
Key
Club records
Wins
5–0 v CF Montreal, April 2, 2023 (MLS)
5–0 v Real CD España, March 9, 2023 (CCL)
5–0 v San Jose Earthquakes, October 26, 2017 (MLS Cup Playoffs)
Most goals scored
6 v Houston Dynamo, May 31, 2023 (MLS)
Losses
6–0 v LAFC, September 24, 2020 (MLS)
6–0 v Sporting Kansas City, April 21, 2018 (MLS)
Most goals allowed
6 v LAFC, September 24, 2020 (MLS)
6 v Sporting Kansas City, April 21, 2018 (MLS)
6 v LAFC, July 7, 2019 (MLS)
Home attendance
27,863 v Seattle Sounders FC, September 16, 2018 (MLS)
Away attendance
55,765 v Seattle Sounders FC, October 11, 2014 (MLS)
Club Firsts
First MLS Match and Win: March 19, 2011 4–2 v Toronto FC
First MLS Goal and Brace: Eric Hassli v Toronto FC March 19, 2011
First MLS Assist: Atiba Harris v Toronto FC March 19, 2011
First Starting XI: 18.Jay Nolly, 25.Jonathan Leathers, 6.Jay DeMerit, 2.Michael Boxall, 4.Alain Rochat; 20.Davide Chiumiento, 28.Gershon Koffie, 7. Terry Dunfield, 31. Russell Teibert, 9. Atiba Harris, 29. Eric Hassli
First Match at BC Place: October 2, 2011 v Portland Timbers
First Goal at BC Place: October 6, 2011 Camilo v Real Salt Lake
First Shutout at BC Place: October 6, 2011 Joe Cannon
First MLS Shutout: April 16 v Chivas USA Jay Nolly
First Transfer Out: November 24, 2010 Alan Gordon and Alejandro Moreno to Chivas USA for allocation money and an International Roster Spot for 2011
First Transfer in: Jay DeMerit on a free November 18, 2010
First Designated Player: Eric Hassli
First Super Draft Pick: 2011 MLS SuperDraft Omar Salgado
First MLS Cup Playoff Game: November 1, 2012 1–2 v LA Galaxy
First MLS Cup Playoff Goal: November 1, 2012 Darren Mattocks v LA Galaxy
First MLS Cup Playoff Win: October 25, 2017 5–0 v San Jose Earthquake
First CONCACAF Champions League Game: August 5, 2015 1–1 v Seattle Sounders FC
First CONCACAF Champions League Win: September 16, 2015 1–0 v Olimpia
First Canadian Championship Win: August 25, 2015 v Montreal Impact
First Homegrown Player Signing: November 26, 2010 Philippe Davies
First Player Signed from MLS Next Pro Team: November 16, 2022 Ali Ahmed
|
https://en.wikipedia.org/wiki/Mike%20Steel%20%28mathematician%29 | Michael Anthony Steel (born May 1960) is a New Zealand mathematician and statistician, a Distinguished Professor of mathematics and statistics and the Director of the Biomathematics Research Centre at the University of Canterbury in Christchurch, New Zealand. He is known for his research on modeling and reconstructing evolutionary trees.
Biography
Steel studied at the University of Canterbury, earning a bachelor's degree in 1982, a masters in 1983, and a degree in journalism in 1985. He then moved to Massey University, where he received his Ph.D. in 1989, supervised by Michael D. Hendy and David Penny. He joined the Canterbury faculty in 1994.
Awards and honours
Steel won the Hamilton Memorial Prize of the Royal Society of New Zealand in 1994; this prize is given annually to a New Zealand mathematician for work done within five years of a Ph.D.
In 1999 he won the research award of the New Zealand Mathematical Society "for his fundamental contributions to the mathematical understanding of phylogeny, demonstrating a capacity for hard creative work in combinatorics and statistics and an excellent understanding of the biological implications of his results."
He became a fellow of the Royal Society of New Zealand in 2003.
In 2018, Steel was elected as a Fellow of the International Society for Computational Biology, for his outstanding contributions to the fields of computational biology and bioinformatics.
Selected publications
Lockhart, Peter J., Michael A. Steel, Michael D. Hendy, and David Penny. "Recovering evolutionary trees under a more realistic model of sequence evolution." Molecular biology and evolution 11, no. 4 (1994): 605–612.
Esser, Christian, Nahal Ahmadinejad, Christian Wiegand, Carmen Rotte, Federico Sebastiani, Gabriel Gelius-Dietrich, Katrin Henze et al. "A genome phylogeny for mitochondria among α-proteobacteria and a predominantly eubacterial ancestry of yeast nuclear genes." Molecular Biology and Evolution 21, no. 9 (2004): 1643–1660.
Erdős, Péter L., Michael A. Steel, László A. Székely, and Tandy J. Warnow. "A few logs suffice to build (almost) all trees (I)." Random Structures & Algorithms 14, no. 2 (1999): 153–184.
Erdös, Péter L., Michael A. Steel, LászlóA Székely, and Tandy J. Warnow. "A few logs suffice to build (almost) all trees: part II." Theoretical Computer Science 221, no. 1-2 (1999): 77–118.
References
External links
Home page
Citations on Google scholar
1960 births
Living people
Phylogenetics researchers
Computational phylogenetics
New Zealand mathematicians
New Zealand statisticians
University of Canterbury alumni
Massey University alumni
Academic staff of the University of Canterbury
Fellows of the Royal Society of New Zealand
James Cook Research Fellows |
https://en.wikipedia.org/wiki/Stevo%20Todor%C4%8Devi%C4%87 | Stevo Todorčević (; born February 9, 1955), is a Yugoslavian mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto, and a director of research position at the Centre national de la recherche scientifique in Paris.
Early life and education
Todorčević was born in Ubovića Brdo. As a child he moved to Banatsko Novo Selo, and went to school in Pančevo. At Belgrade University, he studied pure mathematics, attending lectures by Đuro Kurepa. He began graduate studies in 1978, and wrote his doctoral thesis in 1979 with Kurepa as his advisor.
Research
Todorčević's work involves mathematical logic, set theory, and their applications to pure mathematics.
In Todorčević's 1978 master’s thesis, he constructed a model of MA + ¬wKH in a way to allow him to make the continuum any regular cardinal, and so derived a variety of topological consequences. Here MA is an abbreviation for Martin's axiom and wKH stands for the weak Kurepa Hypothesis.
In 1980, Todorčević and Abraham proved the existence of rigid Aronszajn trees and the consistency of MA + the negation of the continuum hypothesis + there exists a first countable S-space.
Awards and honours
Todorčević is the winner of
the first prize of the Balkan Mathematical Society for 1980 and 1982,
the 2012 CRM-Fields-PIMS prize in mathematical sciences, and
the Shoenfield prize of the Association for Symbolic Logic for "outstanding expository writing in the field of logic" in 2013, for his book Introduction to Ramsey Spaces.
He was selected by the Association for Symbolic Logic as their 2016 Gödel Lecturer.
He became a corresponding member of the Serbian Academy of Sciences and Arts as of 1991 and a full member of the Academy in 2009.
In 2016 Todorčević became a fellow of the Royal Society of Canada.
Todorčević has been described as "the greatest Serbian mathematician" since the time of Mihailo Petrović Alas.
Books
Todorčević is the author of books in mathematics that include:
Partition problems in topology (1989)
Some applications of the method of forcing (with I. Farah, 1995)
Topics in topology (1997)
Ramsey methods in analysis (with S. A. Argyros, 2005)
Walks on ordinals and their characteristics (2007)
Introduction to Ramsey spaces (2010)
Notes on forcing axioms (2014)
See also
Baumgartner's axiom
Kechris–Pestov–Todorčević correspondence
Open coloring axiom
S and L spaces
References
Sources
.
RSC Fellowship Citation and Detailed Appraisal: Stevo Todorcevic
External links
CRM Fields PIMS Prize Lecture: Prof. Stevo Todorcevic (photo album)
CRM-Fields-PIMS Prize Lecture: Stevo Todorcevic (University of Toronto)
Stevo Todorcevic at University of Toronto
Stevo Todorcevic at Institut de mathématiques de Jussieu – Paris Rive Gauche
Todorčević najcenjeniji (Todorčević most respected)
Dispute over Infinity Divides Mathematicians by Natalie Wolchover, Quanta Magazine, November 26, 2013; contains some comments on choices |
https://en.wikipedia.org/wiki/Dini%20criterion | In mathematics, Dini's criterion is a condition for the pointwise convergence of Fourier series, introduced by .
Statement
Dini's criterion states that if a periodic function has the property that is locally integrable near , then the Fourier series of converges to 0 at .
Dini's criterion is in some sense as strong as possible: if is a positive continuous function such that is not locally integrable near , there is a continuous function with || ≤ whose Fourier series does not converge at .
References
Fourier series |
https://en.wikipedia.org/wiki/Alfred%20van%20der%20Poorten | Alfred Jacobus (Alf) van der Poorten (16 May 1942 – 9 October 2010) was a Dutch-Australian number theorist, for many years on the mathematics faculties of the University of New South Wales and Macquarie University.
Biography
Van der Poorten was born into a Jewish family in Amsterdam in 1942, after the German occupation began. His parents, David and Marianne van der Poorten, gave him into foster care with the Teerink family in Amersfoort, under the name "Fritsje"; the senior van der Poortens went into hiding, were caught by the Nazis, survived the concentration camps, and were reunited with van der Poorten and his two sisters after the war. The family moved to Sydney in 1951, travelling there aboard the .
Van der Poorten studied at Sydney Boys High School from 1955–59, and earned a high score in the Leaving Certificate Examination there. He spent a year in Israel and then studied mathematics at the University of New South Wales, where he earned a bachelor's degree in 1965, a doctorate in 1968 under the joint supervision of George Szekeres and Kurt Mahler, and a Master of Business Administration. While a student at UNSW, he led the student union council and was president of the University Union, as well as helping to lead several Jewish and Zionist student organisations. He also helped to manage the university's cooperative bookstore, where he met and in 1972 married another bookstore manager, Joy FitzRoy.
On finishing his studies in 1969, van der Poorten joined the UNSW faculty as a lecturer in pure mathematics. He became senior lecturer in 1972 and associate professor in 1976. In 1979 he moved to Macquarie University to become full professor and head of the School of Mathematics, Physics, Computing and Electronics, an administrative role that he served until 1987 and then resumed from 1991 to 1996. From 1991 onwards he also directed the Centre for Number Theory Research at Macquarie. He retired in 2002.
In 1973, van der Poorten founded the Australian Mathematical Society Gazette, and he continued to edit it until 1977. He
was elected president of the Australian Mathematical Society in 1996.
Van der Poorten was also active in science fiction fandom, beginning in the mid-1960s. He was an early member of the Sydney Science Fiction Foundation, attended the first SynCon in 1970, became friends with Locus publisher Charles N. Brown and (with psychologist Tom Newlyn) was known as one of "Sydney's terrible twins". His fannish activities significantly lessened by the late 1970s, but as late as 1999 he was a member of the 57th World Science Fiction Convention in Sydney where he helped operate the Locus table.
Research
Van der Poorten was the author of approximately 180 publications in number theory, on subjects that included Baker's theorem, continued fractions, elliptic curves, regular languages, the integer sequences derived from recurrence relations, and transcendental numbers. Some of his significant results include the 1988 solution of Pisot's |
https://en.wikipedia.org/wiki/International%20Commission%20on%20the%20History%20of%20Mathematics | The International Commission on the History of Mathematics was established in 1971 to promote the study of history of mathematics. Kenneth O. May provided its initial impetus. In 1974, its official journal Historia Mathematica began publishing. Every four years the Commission bestows the Kenneth O. May Medal upon a deserving historian of mathematics.
In 1981, in Bucharest, the first in a series of symposia was held in conjunction with the International Congress of History of Science. In 1985, the ICHM became an inter-union commission of both the International Mathematical Union and the International Union of History and Philosophy of Science. In 1989 the first Kenneth O. May prize was awarded to Dirk Struik and Adolf P. Yushkevich.
Joseph Dauben became chair of the executive committee of the ICHM in 1985 and proceeded to assemble the global contributions from 40 historians for the 2002 publication Writing the History of Mathematics: Its Historical Development, published by Birkhäuser. In his review, Donald Cook noted, "Because the book is not designed to completely explore issues, it may raise questions for readers."
The ICHM began awarding the Montucla Prize, for the best article by an early career scholar in Historia Mathematica, in 2009. The award is given every four years.
References
External links
ICHM official website
A Brief History of the International Commission on the History of Mathematics from International Mathematical Union.
Mathematical societies
International scientific organizations
Scientific organizations established in 1971
History of science organizations |
https://en.wikipedia.org/wiki/Equidiagonal%20quadrilateral | In Euclidean geometry, an equidiagonal quadrilateral is a convex quadrilateral whose two diagonals have equal length. Equidiagonal quadrilaterals were important in ancient Indian mathematics, where quadrilaterals were classified first according to whether they were equidiagonal and then into more specialized types.
Special cases
Examples of equidiagonal quadrilaterals include the isosceles trapezoids, rectangles and squares.
Among all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter is an equidiagonal kite with angles π/3, 5π/12, 5π/6, and 5π/12.
Characterizations
A convex quadrilateral is equidiagonal if and only if its Varignon parallelogram, the parallelogram formed by the midpoints of its sides, is a rhombus. An equivalent condition is that the bimedians of the quadrilateral (the diagonals of the Varignon parallelogram) are perpendicular.
A convex quadrilateral with diagonal lengths and and bimedian lengths and is equidiagonal if and only if
Area
The area K of an equidiagonal quadrilateral can easily be calculated if the length of the bimedians m and n are known. A quadrilateral is equidiagonal if and only if
This is a direct consequence of the fact that the area of a convex quadrilateral is twice the area of its Varignon parallelogram and that the diagonals in this parallelogram are the bimedians of the quadrilateral. Using the formulas for the lengths of the bimedians, the area can also be expressed in terms of the sides a, b, c, d of the equidiagonal quadrilateral and the distance x between the midpoints of the diagonals as
Other area formulas may be obtained from setting p = q in the formulas for the area of a convex quadrilateral.
Relation to other types of quadrilaterals
A parallelogram is equidiagonal if and only if it is a rectangle, and a trapezoid is equidiagonal if and only if it is an isosceles trapezoid. The cyclic equidiagonal quadrilaterals are exactly the isosceles trapezoids.
There is a duality between equidiagonal quadrilaterals and orthodiagonal quadrilaterals: a quadrilateral is equidiagonal if and only if its Varignon parallelogram is orthodiagonal (a rhombus), and the quadrilateral is orthodiagonal if and only if its Varignon parallelogram is equidiagonal (a rectangle). Equivalently, a quadrilateral has equal diagonals if and only if it has perpendicular bimedians, and it has perpendicular diagonals if and only if it has equal bimedians. gives further connections between equidiagonal and orthodiagonal quadrilaterals, via a generalization of van Aubel's theorem.
Quadrilaterals that are both orthodiagonal and equidiagonal, and in which the diagonals are at least as long as all of the quadrilateral's sides, have the maximum area for their diameter among all quadrilaterals, solving the n = 4 case of the biggest little polygon problem. The square is one such quadrilateral, but there are infinitely many others. Equidiagonal, orthodiagonal quadrilaterals have been referred |
https://en.wikipedia.org/wiki/Hypoalgebra | In algebra, a hypoalgebra is a generalization of a subalgebra of a Lie algebra introduced by . The relation between an algebra and a hypoalgebra is called a subjoining , which generalizes the notion of an inclusion of subalgebras. There is also a notion of restriction of a representation of a Lie algebra to a subjoined hypoalgebra, with branching rules similar to those for restriction to subalgebras except that some of the multiplicities in the branching rule may be negative. calculated many of these branching rules for hypoalgebras.
References
Lie algebras |
https://en.wikipedia.org/wiki/Picard%20modular%20group | In mathematics, a Picard modular group, studied by , is a group of the form SU(J,L), where L is a 3-dimensional lattice over the ring of integers of an imaginary quadratic field and J is a hermitian form on L of signature (2, 1). Picard modular groups act on the unit sphere in C2 and the quotient is called a Picard modular surface.
See also
Fuchsian group
Kleinian group
References
Group theory
Automorphic forms |
https://en.wikipedia.org/wiki/Picard%20modular%20surface | In mathematics, a Picard modular surface, studied by , is a complex surface constructed as a quotient of the unit ball in C2 by a Picard modular group.
Picard modular surfaces are some of the simplest examples of Shimura varieties and are sometimes used as a test case for the general theory of Shimura varieties.
See also
Hilbert modular surface
Siegel modular variety
References
Complex surfaces
Algebraic surfaces
Automorphic forms
Langlands program |
https://en.wikipedia.org/wiki/Dini%E2%80%93Lipschitz%20criterion | In mathematics, the Dini–Lipschitz criterion is a sufficient condition for the Fourier series of a periodic function to converge uniformly at all real numbers. It was introduced by , as a strengthening of a weaker criterion introduced by . The criterion states that the Fourier series of a periodic function f converges uniformly on the real line if
where is the modulus of continuity of f with respect to .
References
Fourier series
Theorems in Fourier analysis |
https://en.wikipedia.org/wiki/Network%20model%20%28disambiguation%29 | The network model is a database model.
The term may also refer to:
Network topology
Packet generation model
Channel model
Døde Sønderborg |
https://en.wikipedia.org/wiki/List%20of%20Philippine%20Basketball%20Association%20career%20steals%20leaders | This is a list of Philippine Basketball Association players by total career steals.
Statistics accurate as of January 16, 2023.
See also
List of Philippine Basketball Association players
References
External links
Philippine Basketball Association All-time Most Steals Leaders – PBA Online.net
Steals, Career |
https://en.wikipedia.org/wiki/YLM | YLM or Ylm may stand for:
Spherical harmonics, a branch of mathematics
Young Liberal Movement of Australia, a political party
Youth Link Movement, a Sri Lankan community project organization
Turu language
Yottalumen, a measure of light by lumen |
https://en.wikipedia.org/wiki/Hassan%20Adhuham | Hassan Adhuham (born 8 January 1990) is a Maldivian footballer, who is currently playing for Club Eagles.
Career statistics
International goals
Under-23
Scores and results list Maldives U-23's goal tally first.
Senior team
Scores and results list Maldives's goal tally first.
External links
Shaafee and Adhuham to Maziya
References
1990 births
Living people
Maldivian men's footballers
Maldives men's international footballers
Victory Sports Club players
Men's association football midfielders
Men's association football forwards
Club Eagles players
Dhivehi Premier League players |
https://en.wikipedia.org/wiki/Bott%20residue%20formula | In mathematics, the Bott residue formula, introduced by , describes a sum over the fixed points of a holomorphic vector field of a compact complex manifold.
Statement
If v is a holomorphic vector field on a compact complex manifold M, then
where
The sum is over the fixed points p of the vector field v
The linear transformation Ap is the action induced by v on the holomorphic tangent space at p
P is an invariant polynomial function of matrices of degree dim(M)
Θ is a curvature matrix of the holomorphic tangent bundle
See also
Atiyah–Bott fixed-point theorem
Holomorphic Lefschetz fixed-point formula
References
Complex manifolds |
https://en.wikipedia.org/wiki/Holomorphic%20Lefschetz%20fixed-point%20formula | In mathematics, the Holomorphic Lefschetz formula is an analogue for complex manifolds of the Lefschetz fixed-point formula that relates a sum over the fixed points of a holomorphic vector field of a compact complex manifold to a sum over its Dolbeault cohomology groups.
Statement
If f is an automorphism of a compact complex manifold M with isolated fixed points, then
where
The sum is over the fixed points p of f
The linear transformation Ap is the action induced by f on the holomorphic tangent space at p
See also
Bott residue formula
References
Complex manifolds
Theorems in algebraic geometry |
https://en.wikipedia.org/wiki/Distortion%20function | A distortion function in mathematics and statistics, for example, , is a non-decreasing function such that and . The dual distortion function is . Distortion functions are used to define distortion risk measures.
Given a probability space , then for any random variable and any distortion function we can define a new probability measure such that for any it follows that
References
Functions related to probability distributions |
https://en.wikipedia.org/wiki/%C3%89ric%20Leichtnam | Éric Leichtnam is director of research at the CNRS at the Institut de Mathématiques de Jussieu in Paris. His fields of interest are noncommutative geometry, ergodic theory, Dirichlet problem, non-commutative residue.
Selected publications
Gérard, Patrick; Leichtnam, Éric: Ergodic properties of eigenfunctions for the Dirichlet problem. Duke Math. J. 71 (1993), no. 2, 559–607.
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar: The noncommutative residue for ----- (1996), no. 1, 1–31.
Leichtnam, E.; Piazza, P.: Spectral sections and higher Atiyah–Patodi–Singer index theory on Galois coverings. Geometric and Functional Analysis 8 (1998), no. 1, 17–58.
.
External links
personal page
21st-century French mathematicians
Living people
Year of birth missing (living people)
Research directors of the French National Centre for Scientific Research |
https://en.wikipedia.org/wiki/Stan%20Wagon | Stanley Wagon is a Canadian-American mathematician, a professor of mathematics at Macalester College in Minnesota. He is the author of multiple books on number theory, geometry, and computational mathematics, and is also known for his snow sculpture.
Biography
Wagon was born in Montreal, to Sam and Diana (Idlovitch) Wagon. His sister Lila (Wagon) Hope-Simpson died in 2021. Wagon did his undergraduate studies at McGill University in Montreal, graduating in 1971. He earned his Ph.D. in 1975 from Dartmouth College, under the supervision of James Earl Baumgartner. He married mathematician Joan Hutchinson, and the two of them shared a single faculty position at Smith College and again at Macalester, where they moved in 1990.
Books
The Banach–Tarski Paradox (Cambridge University Press, 1985)
Old and New Unsolved Problems in Plane Geometry and Number Theory (with Victor Klee, Mathematical Association of America, 1991)
Mathematica® in Action: Problem Solving Through Visualization and Computation (W.H. Freeman, 1991; 2nd ed., Springer, 1999; 3rd ed., Springer, 2010)
Animating Calculus (with E. Packel, TELOS, 1996)
Which Way Did the Bicycle Go? (with J. D. E. Konhauser and D. Velleman, Mathematical Association of America, 1996)
VisualDSolve: Visualizing Differential Equations with Mathematica (with Dan Schwalbe, TELOS, 1997; 2nd ed., with Schwalbe and Antonin Slavik, Wolfram Research, 2009).
A Course in Computational Number Theory (with David Bressoud, Springer, 2000)
The Mathematical Explorer (Wolfram Research, Inc., 2001)
The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing (with Laurie, Bornemann, and Waldvogel, SIAM, 2004)
Other activities
Wagon is also known for riding a bicycle with square wheels, for his mathematical snow sculptures,
and for having given the name to the 420 Arch, a natural stone arch in southern Utah.
Awards and honors
Wagon won the Lester R. Ford Award of the Mathematical Association of America for his 1988 paper, "Fourteen Proofs of a Result about Tiling a Rectangle". Wagon and his co-authors Ellen Gethner and Brian Wick won the Chauvenet Prize for mathematical exposition in 2002 for their 1998 paper, "A Stroll through the Gaussian Primes".
References
External links
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
Canadian mathematicians
McGill University alumni
Dartmouth College alumni
Smith College faculty
Macalester College faculty |
https://en.wikipedia.org/wiki/List%20of%20Philippine%20Basketball%20Association%20career%20blocks%20leaders | This is a list of Philippine Basketball Association players by total career blocks.
Statistics accurate as of December 22, 2022.
See also
List of Philippine Basketball Association players
References
External links
Philippine Basketball Association All-time Most Blockshots Leaders – PBA Online.net
Blocks, Career |
Subsets and Splits
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