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https://en.wikipedia.org/wiki/Adrian%20Raftery
Adrian E. Raftery (born 1955 in Dublin, Ireland) is an Irish and American statistician and sociologist. He is the Boeing International Professor of Statistics and Sociology, and founding Director of the Center for Statistics and Social Sciences at the University of Washington in Seattle, Washington, United States. Raftery studied mathematics and statistics at Trinity College Dublin, Ireland, and obtained his doctorate in mathematical statistics in 1980 from the Université Pierre et Marie Curie in Paris, France, advised by Paul Deheuvels. From 1980 to 1986, he was a lecturer in statistics at Trinity College Dublin, and since then he has been on the faculty of the University of Washington. He was elected a Fellow of the American Academy of Arts and Sciences in 2003 and a member of the United States National Academy of Sciences in 2009. He was identified as the world's most cited researcher in mathematics for the decade 1995-2005 by Thomson-ISI. , Raftery has written or coauthored over 150 articles in scholarly journals. His research has focused on the development of new statistical methods, particularly for the social, environmental and health sciences. He has been a leader in developing methods for Bayesian model selection and Bayesian model averaging, and model-based clustering, as well as inference from computer simulation models. He has recently developed new methods for probabilistic weather forecasting and probabilistic population projections. Selected publications Raftery, A. E. (2001). Statistics in Sociology, 1950—2000: A Selective Review. Sociological Methodology, 31, 1-45. References External links Adrian Raftery's home page 1955 births Irish statisticians American statisticians Living people Alumni of Trinity College Dublin Scientists from Dublin (city) Members of the United States National Academy of Sciences Fellows of the American Statistical Association Fellows of the American Academy of Arts and Sciences Bayesian statisticians
https://en.wikipedia.org/wiki/Paul%20Chester%20Kainen
Paul Chester Kainen is an American mathematician, an adjunct associate professor of mathematics and director of the Lab for Visual Mathematics at Georgetown University. Kainen is the author of a popular book on the four color theorem, and is also known for his work on book embeddings of graphs. Biography Kainen received his Bachelor of Arts degree from George Washington University in 1966 and was awarded the Ruggles Prize for Excellence in Mathematics. He went on to get his Ph.D. from Cornell University in 1970 with Peter Hilton as his thesis advisor. Kainen's father was the American artist Jacob Kainen. Selected publications . 2nd ed., Dover, 1986, , . . References External links Home page at Georgetown Paul Kainen's Page on Industrial Mathematics and BioPhotonics at Industrial Math 20th-century American mathematicians 21st-century American mathematicians Graph theorists Columbian College of Arts and Sciences alumni Cornell University alumni Georgetown University faculty Living people Year of birth missing (living people)
https://en.wikipedia.org/wiki/Semigroup%20with%20involution
In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism, which—roughly speaking—brings it closer to a group because this involution, considered as unary operator, exhibits certain fundamental properties of the operation of taking the inverse in a group: uniqueness, double application "cancelling itself out", and the same interaction law with the binary operation as in the case of the group inverse. It is thus not a surprise that any group is a semigroup with involution. However, there are significant natural examples of semigroups with involution that are not groups. An example from linear algebra is the multiplicative monoid of real square matrices of order n (called the full linear monoid). The map which sends a matrix to its transpose is an involution because the transpose is well defined for any matrix and obeys the law , which has the same form of interaction with multiplication as taking inverses has in the general linear group (which is a subgroup of the full linear monoid). However, for an arbitrary matrix, AAT does not equal the identity element (namely the diagonal matrix). Another example, coming from formal language theory, is the free semigroup generated by a nonempty set (an alphabet), with string concatenation as the binary operation, and the involution being the map which reverses the linear order of the letters in a string. A third example, from basic set theory, is the set of all binary relations between a set and itself, with the involution being the converse relation, and the multiplication given by the usual composition of relations. Semigroups with involution appeared explicitly named in a 1953 paper of Viktor Wagner (in Russian) as result of his attempt to bridge the theory of semigroups with that of semiheaps. Formal definition Let S be a semigroup with its binary operation written multiplicatively. An involution in S is a unary operation * on S (or, a transformation * : S → S, x ↦ x*) satisfying the following conditions: For all x in S, (x*)* = x. For all x, y in S we have (xy)* = y*x*. The semigroup S with the involution * is called a semigroup with involution. Semigroups that satisfy only the first of these axioms belong to the larger class of U-semigroups. In some applications, the second of these axioms has been called antidistributive. Regarding the natural philosophy of this axiom, H.S.M. Coxeter remarked that it "becomes clear when we think of [x] and [y] as the operations of putting on our socks and shoes, respectively." Examples If S is a commutative semigroup then the identity map of S is an involution. If S is a group then the inversion map * : S → S defined by x* = x−1 is an involution. Furthermore, on an abelian group both this map and the one from the previous example are involutions satisfying the axioms of semigroup with involution. If S is an inverse semigroup then the inversion map is an invo
https://en.wikipedia.org/wiki/1980%E2%80%9381%20Boston%20Bruins%20season
The 1980–81 Boston Bruins season was the Bruins' 57th season. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions Draft picks Boston's draft picks at the 1980 NHL Entry Draft held at the Montreal Forum in Montreal, Quebec. Farm teams See also 1980–81 NHL season References Boston Bruins seasons Boston Bruins Boston Bruins Boston Bruins Boston Bruins Bruins Bruins
https://en.wikipedia.org/wiki/Combinatorica
Combinatorica is an international journal of mathematics, publishing papers in the fields of combinatorics and computer science. It started in 1981, with László Babai and László Lovász as the editors-in-chief with Paul Erdős as honorary editor-in-chief. The current editors-in-chief are Imre Bárány and József Solymosi. The advisory board consists of Ronald Graham, Gyula O. H. Katona, Miklós Simonovits, Vera Sós, and Endre Szemerédi. It is published by the János Bolyai Mathematical Society and Springer Verlag. The following members of the Hungarian School of Combinatorics have strongly contributed to the journal as authors, or have served as editors: Miklós Ajtai, László Babai, József Beck, András Frank, Péter Frankl, Zoltán Füredi, András Hajnal, Gyula Katona, László Lovász, László Pyber, Alexander Schrijver, Miklós Simonovits, Vera Sós, Endre Szemerédi, Tamás Szőnyi, Éva Tardos, Gábor Tardos. Notable publications A paper by Martin Grötschel, László Lovász, and Alexander Schrijver on the ellipsoid method, awarded the 1982 Fulkerson Prize. M. Grötschel, L. Lovász, A. Schrujver: The ellipsoid method and its consequences in combinatorial optimization, Combinatorica, 1(1981), 169–197. József Beck's paper on the discrepancy of hypergraphs, awarded the 1985 Fulkerson Prize. J. Beck: Roth's estimate of the discrepancy of integer sequences is nearly sharp, Combinatorica, 1(1981), 319–325. Karmarkar's algorithm solving linear programming problems in polynomial time, awarded the 1988 Fulkerson Prize. N. Karmarkar: A New Polynomial Time Algorithm for Linear Programming, Combinatorica, 4(1984), 373–395. Szegedy's solution of Graham problem on common divisors M. Szegedy: The solution of Graham's greatest common divisor problem, Combinatorica, 6(1986), 67–71. Éva Tardos's paper, awarded the 1988 Fulkerson Prize. E. Tardos, A strongly polynomial minimum cost circulation algorithm, Combinatorica, 5(1985), 247–256. The proof of El-Zahar and Norbert Sauer of the Hedetniemi's conjecture for 4-chromatic graphs. M. El-Zahar, N. W. Sauer: The chromatic number of the product of two 4-chromatic graphs is 4, Combinatorica, 5(1985), 121–126. Bollobás's asymptotic value of the chromatic number of random graphs. B. Bollobás: The chromatic number of random graphs, Combinatorica, 8(1988), 49–55. Neil Robertson, Paul Seymour, and Robin Thomas, proving Hadwiger's conjecture in the case k=6, awarded the 1994 Fulkerson Prize. N. Robertson, P. D. Seymour, R. Thomas: Hadwiger's conjecture for K6-free graphs, Combinatorica, 13 (1993), 279–361. References External links Combinatorica's homepage. Combinatorica on-line at Springer. Combinatorics journals Computer science journals Springer Science+Business Media academic journals Academic journals established in 1981
https://en.wikipedia.org/wiki/1981%E2%80%9382%20Boston%20Bruins%20season
The 1981–82 Boston Bruins season was the Bruins' 58th season. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions Draft picks Boston's draft picks at the 1981 NHL Entry Draft held at the Montreal Forum in Montreal, Quebec. Farm teams See also 1981–82 NHL season References Boston Bruins seasons Boston Bruins Boston Bruins Boston Bruins Boston Bruins Bruins Bruins
https://en.wikipedia.org/wiki/TracenPoche
TracenPoche (TeP) is a free interactive geometry software, written in Adobe Flash language. It is very light weight. Features It is widely used in French secondary schools in the framework of the :fr:MathenPoche exerciser suite developed by the French association of mathematics teachers :fr:Sésamath. External links TracenPoche official website Sésamath association TracenPoche belongs to the Inter2Geo European project aiming at interoperability between interactive geometry software. Interactive geometry software
https://en.wikipedia.org/wiki/Clifford%27s%20theorem
Clifford's theorem may refer to: Clifford's theorem on special divisors Clifford theory in representation theory Hammersley–Clifford theorem in probability Clifford's circle theorems in Euclidean geometry
https://en.wikipedia.org/wiki/Eli%20Driks
Eli Driks (, born 13 October 1964) is an Israeli former footballer who worked as marketing CEO for the basketball and football arms of Maccabi Tel Aviv. Career statistics International goals Honours Israeli Premier League: 1991–92, 1994–95, 1995–96 Israel State Cup: 1987, 1988, 1994, 1996 Toto Cup: 1984–85, 1992–93, 1998–99 References External links Profile at One 1964 births Israeli Jews Living people Israeli men's footballers Israel men's international footballers Maccabi Yavne F.C. players Maccabi Tel Aviv F.C. players Maccabi Netanya F.C. players Maccabi Herzliya F.C. players Liga Leumit players Israeli Premier League players Footballers from Petah Tikva Men's association football forwards Israeli Football Hall of Fame inductees
https://en.wikipedia.org/wiki/Field%20test%20mode
Field test mode (FTM) or field test display (FTD) is a software application often pre-installed on mobile phones that provides the user with technical details, statistics relating to the mobile phone network and allows the user to run hardware tests on the phone. On older Nokia phones this mode is known as Netmonitor while newer Series 60 phones have a Field test application which requires a hacked phone to be installed. Many other brands of phones have similar functionality available, often accessed by entering a code into the phone. For GSM phones it may provide such details as TDMA timing advance Cell ID Transmit power and received signal strength indication (RSSI) Neighbouring cell info and PLMN codes Location area code TMSI number Timeslot / paging information References External links Field test display blog (for details on enabling) Wiki opencellid.org Mobile phones
https://en.wikipedia.org/wiki/Champney%27s%20West
Champney's West is a community and former town in the Canadian province of Newfoundland and Labrador. The village had a population of 75 in the Canada 2001 Census, the last year in which Statistics Canada reported data for Champney's West (since then, it is part of the designated place Champneys-English Harbour). The community is part of a group of communities known as Trinity Bight. See also List of cities and towns in Newfoundland and Labrador References Populated places in Newfoundland and Labrador
https://en.wikipedia.org/wiki/2008%20Guangzhou%20Pharmaceutical%20F.C.%20season
The 2008 season was Guangzhou FC's first season in the Chinese Super League. This article shows statistics of the club's players in the season, and also lists all matches that the club played in the 2008 season. First-team squad Players Technical staff Transfers In Out Loan out Match results Pre-season and friendlies {| class="wikitable sortable" style="width:99%;" |- style="background:#f0f6ff;" |- !Kick-off (GMT+8) !Opponents !H / A !Result !width=35%|Scorers |- bgcolor="#ffffdd" |2008-01-22 | Yantai Yiteng |align=center|N |0–0 | |- bgcolor="#ffdddd" |2008-01-23 | Changchun Yatai |align=center|N |0–1 | |- bgcolor="#ffffdd" |2008-01-24 | Wuhan Guanggu |align=center|N |0–0 | |- bgcolor="#ffdddd" |2008-01-25 | Zhejiang Greentown |align=center|N |0–1 | |- bgcolor="#ddffdd" |2008-01-26 | Wuhan Guanggu |align=center|N |2–1 | |- bgcolor="#ffffdd" |2008-01-28 15:30 | Liaoning Hongyun |align=center|N |1–1 | |- bgcolor="#ddffdd" |2008-01-30 | Shanghai Shenhua |align=center|N |2–0 | |- bgcolor="#ffffdd" |2008-01-31 15:30 | Shanghai Shenhua |align=center|N |1–1 |Jiang Kun 5', Lu Lin 35' |- bgcolor="#ffdddd" |2008-02-02 | Zhejiang Greentown |align=center|N |1–4 | |- bgcolor="#ddffdd" |2008-02-19 | Changchun Yatai |align=center|N |1–0 | |- bgcolor="#ffdddd" |2008-02-29 | Wuhan Guanggu |align=center|N |0–1 | |- bgcolor="#ffffdd" |2008-03-04 15:00 | Chongqing Lifan |align=center|N |0–0 | |- bgcolor="#ffdddd" |2008-03-05 15:00 | Chongqing Lifan |align=center|N |0–1 | |- bgcolor="#ddffdd" |2008-03-08 15:30 | Perth Glory FC |align=center|H |3–1 |Xu Liang 3' (p), Perth Glory FC 19', Xu Liang 45', José Filho Duarte 62' |- bgcolor="#ffffdd" |2008-03-24 | Jiangsu Sainty |align=center|H |2–2 | |- bgcolor="#ddffdd" |2008-04-16 | Guangdong Sunray Cave |align=center|H |3–1 | |- bgcolor="#ffdddd" |2008-07-23 20:00 | Chelsea FC |align=center|H |0–4 |Salomon Kalou 21', Frank Lampard 50', Franco Di Santo 78', Shaun Wright-Phillips 88|- bgcolor="#ffffdd" |2008-08-11 | TSW Pegasus FC |align=center|N |0–0 | |- bgcolor="#ddffdd" |2008-08-13 | South China AA |align=center|N |3–1 | |- bgcolor="#ddffdd" |2008-08-21 | Convoy Sun Hei SC |align=center|N |2–0 | |- bgcolor="#ffffdd" |2008-08-25 19:00 | South China AA |align=center|H |1–1 |Feng Junyan 1', Tales Schutz 88 |- bgcolor="#ddffdd" |2008-08-26 16:00 | Guangdong Sunray Cave |align=center|H |4–3 |Ramírez, Xu Liang(2), José Duarte / Ye Weichao(2), Cong Tianhao |} Chinese Super League 2008 For table see Chinese Super League 2008 Final league table {| class="wikitable sortable" style="width:99%;" |- style="background:#f0f6ff;" !Kick-off (GMT+8) !Opponents !H / A !Result !Scorers (opponents are indicated in italics) !Referee !Attendance ! |- bgcolor="#ddffdd" |align=center|2008-03-30 15:30 |Wuhan Guanggu |align=center|A |align=center|3 – 0 |Luis Ramírez 4', Gustavo Saibt Martins 13' , Xu Liang 48', Luis Ramírez 91' |Fan Qi |align=center|18,000 |bgcolor=white|2nd |- bgcolor="#ffffdd" |align=center|2008-0
https://en.wikipedia.org/wiki/Null%20semigroup
In mathematics, a null semigroup (also called a zero semigroup) is a semigroup with an absorbing element, called zero, in which the product of any two elements is zero. If every element of a semigroup is a left zero then the semigroup is called a left zero semigroup; a right zero semigroup is defined analogously. According to Clifford and Preston, "In spite of their triviality, these semigroups arise naturally in a number of investigations." Null semigroup Let S be a semigroup with zero element 0. Then S is called a null semigroup if xy = 0 for all x and y in S. Cayley table for a null semigroup Let S = {0, a, b, c} be (the underlying set of) a null semigroup. Then the Cayley table for S is as given below: Left zero semigroup A semigroup in which every element is a left zero element is called a left zero semigroup. Thus a semigroup S is a left zero semigroup if xy = x for all x and y in S. Cayley table for a left zero semigroup Let S = {a, b, c} be a left zero semigroup. Then the Cayley table for S is as given below: Right zero semigroup A semigroup in which every element is a right zero element is called a right zero semigroup. Thus a semigroup S is a right zero semigroup if xy = y for all x and y in S. Cayley table for a right zero semigroup Let S = {a, b, c} be a right zero semigroup. Then the Cayley table for S is as given below: Properties A non-trivial null (left/right zero) semigroup does not contain an identity element. It follows that the only null (left/right zero) monoid is the trivial monoid. The class of null semigroups is: closed under taking subsemigroups closed under taking quotient of subsemigroup closed under arbitrary direct products. It follows that the class of null (left/right zero) semigroups is a variety of universal algebra, and thus a variety of finite semigroups. The variety of finite null semigroups is defined by the identity ab = cd. See also Right group References Semigroup theory
https://en.wikipedia.org/wiki/Gordon%20Preston
Gordon Bamford Preston (28 April 1925 – 14 April 2015) was an English mathematician best known for his work on semigroups. He received his D.Phil. in mathematics in 1954 from Magdalen College, Oxford. He was born in Workington and brought up in Carlisle. During World War II, he left his undergraduate studies at Oxford University for Bletchley Park, to help crack German codes with a small group of mathematicians, which included Alan Turing. At Bletchley Park he persuaded Max Newman (who thought that the women would not care for the "intellectual effort") to authorise talks to the Wrens to explain their work mathematically, and the talks were very popular. After graduation, he was a teacher at Westminster School, London and then The Royal Military College of Science. In 1954 he wrote three highly influential papers in the Journal of the London Mathematical Society, laying the foundations of inverse semigroup theory. Before Preston and Alfred H. Clifford's book, The Algebraic Theory of Semigroups (Vol 1 1961) (Vol 2 1967) and the Russian, Evgenii S. Lyapin's, Semigroups (1960) there was no systematic treatment of semigroups. The Algebraic Theory of Semigroups was hailed as an excellent achievement that greatly influenced the future development of the subject. In 1963, Preston moved to Australia to take up the chair of mathematics at Monash University, Melbourne. Preston was an important contributor to algebraic semigroup theory and a respected head of school during his various Monash appointments from 1963 until his retirement in 1990. He subsequently spent six months each year in both Oxford, UK, and Melbourne, Australia, dying on 14 April 2015 in Oxford at age 89. References External links 1925 births 2015 deaths 20th-century English mathematicians 21st-century English mathematicians Alumni of Magdalen College, Oxford Academic staff of Monash University Bletchley Park people People educated at Carlisle Grammar School People from Carlisle, Cumbria People from Workington
https://en.wikipedia.org/wiki/Crapaud%2C%20Prince%20Edward%20Island
Crapaud ( ) is a rural municipality in Prince Edward Island, Canada. It is located north of Victoria in the township of Lot 29. Demographics In the 2021 Census of Population conducted by Statistics Canada, Crapaud 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. Businesses Anna's Country Kitchen Atlantic Guns & Gear Bakin Donuts Canada Post Crapaud Public Library Harvey's General Store Handyman Repair Larkin Farms Moe’s Auction House Pharmachoice Red Rooster Restaurant Scotiabank South Shore Actiplex Crapaud Exhibition The town of Crapaud hosts its own annual exhibition with notable events such as the Tractor Pulls, in which contestants build or modify tractors in order to pull as much weight as possible over a short distance. Some other events that can be seen are barrel racing, tractor races, and a potato peeling contest. The event is held every summer. References Communities in Queens County, Prince Edward Island Rural municipalities in Prince Edward Island
https://en.wikipedia.org/wiki/Steklov
Steklov (Cyrillic: Стеклов) is a Russian last name. It may refer to: Steklov (surname) Steklov (crater), a lunar impact crater on the far side of the Moon Steklov Institute of Mathematics, part of the Russian Academy of Sciences The KGB's nickname for Norwegian Prime Minister Jens Stoltenberg
https://en.wikipedia.org/wiki/%28Benzene%29chromium%20tricarbonyl
(Benzene)chromium tricarbonyl is an organometallic compound with the formula . This yellow crystalline solid compound is soluble in common nonpolar organic solvents. The molecule adopts a geometry known as “piano stool” because of the planar arrangement of the aryl group and the presence of three CO ligands as "legs" on the chromium-bond axis. Preparation (Benzene)tricarbonylchromium was first reported in 1957 by Fischer and Öfele, who prepared the compound by the carbonylation of bis(benzene)chromium. They obtained mainly chromium carbonyl (Cr(CO)) and traces of Cr(CH)(CO). The synthesis was optimized through the reaction of Cr(CO) and Cr(CH). For commercial purposes, a reaction of Cr(CO) and benzene is used: Cr(CO) + CH → Cr(CH)(CO) + 3 CO Applications Complexes of the type (Arene)Cr(CO)3 have been well investigated as reagents in organic synthesis.. The aromatic ring of (benzene)tricarbonylchromium is substantially more electrophilic than benzene itself, allowing it to undergo nucleophilic addition reactions. It is also more acidic, undergoing lithiation upon treatment with n-butyllithium. The resulting organolithium compound can then be used as a nucleophile in various reactions, for example, with trimethylsilyl chloride: (Benzene)tricarbonylchromium is a useful catalyst for the hydrogenation of 1,3-dienes. The product alkene results from 1,4-addition of hydrogen. The complex does not hydrogenate isolated double bonds. References Half sandwich compounds Organochromium compounds Carbonyl complexes
https://en.wikipedia.org/wiki/Point-to-point%20laser%20technology
Point-to-point laser technology (PPLT) refers to a technology that enables a user or surveyor to survey or capture a building's geometry in real time or while on site by translating laser range finder data directly into a Computer-aided design (CAD) or building information models (BIM) work station. Applications Most commonly used for as-built and existing conditions documentation or converting the built environment into a digital format. Benefits PPLT has many benefits in creating BIM or (CAD) models. Entering data directly into a CAD- or BIM-enabled work station allows a user or 'surveyor' to capture and confirm a building's geometry on site. This effectively builds a digital model of a building while it is being measured enabling not only speed but accuracy. Additionally, building in real time can eliminate the need for revisits and also minimizes the need for future interpretation and manipulation of measurements and data by a CAD operator. Associations Since PPLT mainly deals with building surveying there are a few associations that are building surveying specific. There is the Association of Professional Building Surveyors (APBS) in the United States and the Royal Institution of Chartered Surveyors (RICS) in Britain. Whereas building surveying is offered at the curriculum level in Europe it still is in its nascent stages in the United States. Certifications Both the APBS and RICS offer certification methods and programs. The APBS has the professional building surveyor (PBS) certifications. References Building engineering
https://en.wikipedia.org/wiki/1948%E2%80%9349%20Detroit%20Red%20Wings%20season
The 1948–49 Detroit Red Wings season was the Red Wings' 23rd season. Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Note: GP = Games played; G = Goals; A = Assists; Pts = Points; +/- = Plus-minus PIM = Penalty minutes; PPG = Power-play goals; SHG = Short-handed goals; GWG = Game-winning goals;       MIN = Minutes played; W = Wins; L = Losses; T = Ties; GA = Goals against; GAA = Goals-against average; SO = Shutouts; See also 1948–49 NHL season References External links Detroit Detroit Detroit Red Wings seasons Detroit Red Wings Detroit Red Wings
https://en.wikipedia.org/wiki/Bogomolov%E2%80%93Miyaoka%E2%80%93Yau%20inequality
In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality between Chern numbers of compact complex surfaces of general type. Its major interest is the way it restricts the possible topological types of the underlying real 4-manifold. It was proved independently by and , after and proved weaker versions with the constant 3 replaced by 8 and 4. Armand Borel and Friedrich Hirzebruch showed that the inequality is best possible by finding infinitely many cases where equality holds. The inequality is false in positive characteristic: and gave examples of surfaces in characteristic p, such as generalized Raynaud surfaces, for which it fails. Formulation of the inequality The conventional formulation of the Bogomolov–Miyaoka–Yau inequality is as follows. Let X be a compact complex surface of general type, and let c1 = c1(X) and c2 = c2(X) be the first and second Chern class of the complex tangent bundle of the surface. Then Moreover if equality holds then X is a quotient of a ball. The latter statement is a consequence of Yau's differential geometric approach which is based on his resolution of the Calabi conjecture. Since is the topological Euler characteristic and by the Thom–Hirzebruch signature theorem where is the signature of the intersection form on the second cohomology, the Bogomolov–Miyaoka–Yau inequality can also be written as a restriction on the topological type of the surface of general type: moreover if then the universal covering is a ball. Together with the Noether inequality the Bogomolov–Miyaoka–Yau inequality sets boundaries in the search for complex surfaces. Mapping out the topological types that are realized as complex surfaces is called geography of surfaces. see surfaces of general type. Surfaces with c12 = 3c2 If X is a surface of general type with , so that equality holds in the Bogomolov–Miyaoka–Yau inequality, then proved that X is isomorphic to a quotient of the unit ball in by an infinite discrete group. Examples of surfaces satisfying this equality are hard to find. showed that there are infinitely many values of c = 3c2 for which a surface exists. found a fake projective plane with c = 3c2 = 9, which is the minimum possible value because c + c2 is always divisible by 12, and , , showed that there are exactly 50 fake projective planes. gave a method for finding examples, which in particular produced a surface X with c = 3c2 = 3254. found a quotient of this surface with c = 3c2 = 45, and taking unbranched coverings of this quotient gives examples with c = 3c2 = 45k for any positive integer k. found examples with c = 3c2 = 9n for every positive integer n. References Algebraic surfaces Complex surfaces Differential geometry Inequalities
https://en.wikipedia.org/wiki/Cantor%27s%20first%20set%20theory%20article
Cantor's first set theory article contains Georg Cantor's first theorems of transfinite set theory, which studies infinite sets and their properties. One of these theorems is his "revolutionary discovery" that the set of all real numbers is uncountably, rather than countably, infinite. This theorem is proved using Cantor's first uncountability proof, which differs from the more familiar proof using his diagonal argument. The title of the article, "On a Property of the Collection of All Real Algebraic Numbers" ("Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen"), refers to its first theorem: the set of real algebraic numbers is countable. Cantor's article was published in 1874. In 1879, he modified his uncountability proof by using the topological notion of a set being dense in an interval. Cantor's article also contains a proof of the existence of transcendental numbers. Both constructive and non-constructive proofs have been presented as "Cantor's proof." The popularity of presenting a non-constructive proof has led to a misconception that Cantor's arguments are non-constructive. Since the proof that Cantor published either constructs transcendental numbers or does not, an analysis of his article can determine whether or not this proof is constructive. Cantor's correspondence with Richard Dedekind shows the development of his ideas and reveals that he had a choice between two proofs: a non-constructive proof that uses the uncountability of the real numbers and a constructive proof that does not use uncountability. Historians of mathematics have examined Cantor's article and the circumstances in which it was written. For example, they have discovered that Cantor was advised to leave out his uncountability theorem in the article he submitted — he added it during proofreading. They have traced this and other facts about the article to the influence of Karl Weierstrass and Leopold Kronecker. Historians have also studied Dedekind's contributions to the article, including his contributions to the theorem on the countability of the real algebraic numbers. In addition, they have recognized the role played by the uncountability theorem and the concept of countability in the development of set theory, measure theory, and the Lebesgue integral. The article Cantor's article is short, less than four and a half pages. It begins with a discussion of the real algebraic numbers and a statement of his first theorem: The set of real algebraic numbers can be put into one-to-one correspondence with the set of positive integers. Cantor restates this theorem in terms more familiar to mathematicians of his time: The set of real algebraic numbers can be written as an infinite sequence in which each number appears only once. Cantor's second theorem works with a closed interval [a, b], which is the set of real numbers ≥ a and ≤ b. The theorem states: Given any sequence of real numbers x1, x2, x3, ... and any interval [a, b], there is a number
https://en.wikipedia.org/wiki/Hadamard%27s%20method%20of%20descent
In mathematics, the method of descent is the term coined by the French mathematician Jacques Hadamard as a method for solving a partial differential equation in several real or complex variables, by regarding it as the specialisation of an equation in more variables, constant in the extra parameters. This method has been used to solve the wave equation, the heat equation and other versions of the Cauchy initial value problem. As wrote: References Partial differential equations
https://en.wikipedia.org/wiki/Kim%20Tae-wook
Kim Tae-Wook (; born 9 July 1987) is a South Korean footballer. Club career statistics External links 1987 births Living people Men's association football midfielders South Korean men's footballers Gyeongnam FC players Daejeon Korail FC players K League 1 players Korea National League players Sun Moon University alumni
https://en.wikipedia.org/wiki/Maps%20of%20manifolds
In mathematics, more specifically in differential geometry and topology, various types of functions between manifolds are studied, both as objects in their own right and for the light they shed Types of maps Just as there are various types of manifolds, there are various types of maps of manifolds. In geometric topology, the basic types of maps correspond to various categories of manifolds: DIFF for smooth functions between differentiable manifolds, PL for piecewise linear functions between piecewise linear manifolds, and TOP for continuous functions between topological manifolds. These are progressively weaker structures, properly connected via PDIFF, the category of piecewise-smooth maps between piecewise-smooth manifolds. In addition to these general categories of maps, there are maps with special properties; these may or may not form categories, and may or may not be generally discussed categorically. In geometric topology a basic type are embeddings, of which knot theory is a central example, and generalizations such as immersions, submersions, covering spaces, and ramified covering spaces. Basic results include the Whitney embedding theorem and Whitney immersion theorem. In complex geometry, ramified covering spaces are used to model Riemann surfaces, and to analyze maps between surfaces, such as by the Riemann–Hurwitz formula. In Riemannian geometry, one may ask for maps to preserve the Riemannian metric, leading to notions of isometric embeddings, isometric immersions, and Riemannian submersions; a basic result is the Nash embedding theorem. Scalar-valued functions A basic example of maps between manifolds are scalar-valued functions on a manifold, or sometimes called regular functions or functionals, by analogy with algebraic geometry or linear algebra. These are of interest both in their own right, and to study the underlying manifold. In geometric topology, most commonly studied are Morse functions, which yield handlebody decompositions, which generalize to Morse–Bott functions and can be used for instance to understand classical groups, such as in Bott periodicity. In mathematical analysis, one often studies solution to partial differential equations, an important example of which is harmonic analysis, where one studies harmonic functions: the kernel of the Laplace operator. This leads to such functions as the spherical harmonics, and to heat kernel methods of studying manifolds, such as hearing the shape of a drum and some proofs of the Atiyah–Singer index theorem. The monodromy around a singularity or branch point is an important part of analyzing such functions. Curves and paths Dual to scalar-valued functions – maps – are maps which correspond to curves or paths in a manifold. One can also define these where the domain is an interval especially the unit interval or where the domain is a circle (equivalently, a periodic path) S1, which yields a loop. These are used to define the fundamental group, chains in
https://en.wikipedia.org/wiki/Jacobian
In mathematics, a Jacobian, named for Carl Gustav Jacob Jacobi, may refer to: Jacobian matrix and determinant Jacobian elliptic functions Jacobian variety Intermediate Jacobian Mathematical terminology
https://en.wikipedia.org/wiki/1947%E2%80%9348%20Boston%20Bruins%20season
The 1947–48 Boston Bruins season was the Bruins' 24th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions See also 1947–48 NHL season References External links Boston Bruins Boston Bruins Boston Bruins seasons Boston Boston 1940s in Boston
https://en.wikipedia.org/wiki/1948%E2%80%9349%20Boston%20Bruins%20season
The 1948–49 Boston Bruins season was the Bruins' 25th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions See also 1948–49 NHL season References External links Boston Bruins Boston Bruins Boston Bruins seasons Boston Boston 1940s in Boston
https://en.wikipedia.org/wiki/1949%E2%80%9350%20Boston%20Bruins%20season
The 1949–50 Boston Bruins season was the Bruins' 26th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Awards and records Transactions See also 1949–50 NHL season References External links Boston Bruins Boston Bruins Boston Bruins seasons Boston Boston 1940s in Boston 1950s in Boston
https://en.wikipedia.org/wiki/1950%E2%80%9351%20Boston%20Bruins%20season
The 1950–51 Boston Bruins season was the Bruins' 27th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions See also 1950–51 NHL season References External links Boston Bruins season, 1950-51 Boston Bruins season, 1950-51 Boston Bruins seasons Boston Boston 1950s in Boston
https://en.wikipedia.org/wiki/1953%E2%80%9354%20Boston%20Bruins%20season
The 1953–54 Boston Bruins season was the Bruins' 30th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions See also 1953–54 NHL season References External links Boston Bruins season, 1953-54 Boston Bruins season, 1953-54 Boston Bruins seasons Boston Boston 1950s in Boston
https://en.wikipedia.org/wiki/Noether%20inequality
In mathematics, the Noether inequality, named after Max Noether, is a property of compact minimal complex surfaces that restricts the topological type of the underlying topological 4-manifold. It holds more generally for minimal projective surfaces of general type over an algebraically closed field. Formulation of the inequality Let X be a smooth minimal projective surface of general type defined over an algebraically closed field (or a smooth minimal compact complex surface of general type) with canonical divisor K = −c1(X), and let pg = h0(K) be the dimension of the space of holomorphic two forms, then For complex surfaces, an alternative formulation expresses this inequality in terms of topological invariants of the underlying real oriented four manifold. Since a surface of general type is a Kähler surface, the dimension of the maximal positive subspace in intersection form on the second cohomology is given by b+ = 1 + 2pg. Moreover, by the Hirzebruch signature theorem c12 (X) = 2e + 3σ, where e = c2(X) is the topological Euler characteristic and σ = b+ − b− is the signature of the intersection form. Therefore, the Noether inequality can also be expressed as or equivalently using e = 2 – 2 b1 + b+ + b− Combining the Noether inequality with the Noether formula 12χ=c12+c2 gives where q is the irregularity of a surface, which leads to a slightly weaker inequality, which is also often called the Noether inequality: Surfaces where equality holds (i.e. on the Noether line) are called Horikawa surfaces. Proof sketch It follows from the minimal general type condition that K2 > 0. We may thus assume that pg > 1, since the inequality is otherwise automatic. In particular, we may assume there is an effective divisor D representing K. We then have an exact sequence so Assume that D is smooth. By the adjunction formula D has a canonical linebundle , therefore is a special divisor and the Clifford inequality applies, which gives In general, essentially the same argument applies using a more general version of the Clifford inequality for local complete intersections with a dualising line bundle and 1-dimensional sections in the trivial line bundle. These conditions are satisfied for the curve D by the adjunction formula and the fact that D is numerically connected. References Inequalities Algebraic surfaces
https://en.wikipedia.org/wiki/Raynaud%20surface
In mathematics, a Raynaud surface is a particular kind of algebraic surface that was introduced in and named for . To be precise, a Raynaud surface is a quasi-elliptic surface over an algebraic curve of genus g greater than 1, such that all fibers are irreducible and the fibration has a section. The Kodaira vanishing theorem fails for such surfaces; in other words the Kodaira theorem, valid in algebraic geometry over the complex numbers, has such surfaces as counterexamples, and these can only exist in characteristic p. Generalized Raynaud surfaces were introduced in , and give examples of surfaces of general type with global vector fields. References Algebraic surfaces
https://en.wikipedia.org/wiki/Variance-stabilizing%20transformation
In applied statistics, a variance-stabilizing transformation is a data transformation that is specifically chosen either to simplify considerations in graphical exploratory data analysis or to allow the application of simple regression-based or analysis of variance techniques. Overview The aim behind the choice of a variance-stabilizing transformation is to find a simple function ƒ to apply to values x in a data set to create new values such that the variability of the values y is not related to their mean value. For example, suppose that the values x are realizations from different Poisson distributions: i.e. the distributions each have different mean values μ. Then, because for the Poisson distribution the variance is identical to the mean, the variance varies with the mean. However, if the simple variance-stabilizing transformation is applied, the sampling variance associated with observation will be nearly constant: see Anscombe transform for details and some alternative transformations. While variance-stabilizing transformations are well known for certain parametric families of distributions, such as the Poisson and the binomial distribution, some types of data analysis proceed more empirically: for example by searching among power transformations to find a suitable fixed transformation. Alternatively, if data analysis suggests a functional form for the relation between variance and mean, this can be used to deduce a variance-stabilizing transformation. Thus if, for a mean μ, a suitable basis for a variance stabilizing transformation would be where the arbitrary constant of integration and an arbitrary scaling factor can be chosen for convenience. Example: relative variance If is a positive random variable and the variance is given as then the standard deviation is proportional to the mean, which is called fixed relative error. In this case, the variance-stabilizing transformation is That is, the variance-stabilizing transformation is the logarithmic transformation. Example: absolute plus relative variance If the variance is given as then the variance is dominated by a fixed variance when is small enough and is dominated by the relative variance when is large enough. In this case, the variance-stabilizing transformation is That is, the variance-stabilizing transformation is the inverse hyperbolic sine of the scaled value for . Relationship to the delta method Here, the delta method is presented in a rough way, but it is enough to see the relation with the variance-stabilizing transformations. To see a more formal approach see delta method. Let be a random variable, with and . Define , where is a regular function. A first order Taylor approximation for is: From the equation above, we obtain: and This approximation method is called delta method. Consider now a random variable such that and . Notice the relation between the variance and the mean, which implies, for example, heteroscedasticity in a linear mode
https://en.wikipedia.org/wiki/Geoffrey%20Grimmett
Geoffrey Richard Grimmett (born 20 December 1950) is an English mathematician known for his work on the mathematics of random systems arising in probability theory and statistical mechanics, especially percolation theory and the contact process. He is the Professor of Mathematical Statistics in the Statistical Laboratory, University of Cambridge, and was the Master of Downing College, Cambridge, from 2013 to 2018. Education Grimmett was educated at King Edward's School, Birmingham and Merton College, Oxford. He graduated in 1971, and completed his DPhil in 1974 under the supervision of John Hammersley and Dominic Welsh. Career and research Grimmett served as the IBM Research Fellow at New College, Oxford, from 1974 to 1976 before moving to the University of Bristol. He was appointed Professor of Mathematical Statistics at the University of Cambridge in 1992, becoming a fellow of Churchill College, Cambridge. He was Director of the Statistical Laboratory from 1994 to 2000, Head of the Department of Pure Mathematics and Mathematical Statistics (DPMMS) from 2002 to 2007, and is a trustee of the Rollo Davidson Prize. He served as the managing editor of the journal Probability Theory and Related Fields from 2000 to 2005, and was appointed managing editor of Probability Surveys in 2009. At a time of flowering of probabilistic methods in all branches of mathematics, Grimmett is one of the broadest probabilists of his generation, and unquestionably a leading figure in the subject on the world scene. He is particularly recognised for his achievements in the rigorous theory of disordered physical systems. Especially influential is his work on and around percolation theory, the contact model for stochastic spatial epidemics, and the random-cluster model, a class that includes the Ising/Potts models of ferromagnetism. His monograph on percolation is a standard work in a core area of probability, and is widely cited. His breadth within probability is emphasized by his important contributions to probabilistic combinatorics and probabilistic number theory. In October 2013 he was appointed Master of Downing College, Cambridge, succeeding Barry Everitt. He ended his term as Master on 30 September 2018, being replaced by Alan Bookbinder. He was appointed Chair of the Heilbronn Institute for Mathematical Research in September 2020. Awards and honours Grimmett was awarded the Rollo Davidson Prize in 1989 and elected a Fellow of the Royal Society (FRS) in 2014. Personal life Grimmett is the son of Benjamin J Grimmett and Patricia W (Lewis) Grimmett. He competed at the 1976 Summer Olympics in Montreal as a member of the Great Britain Men's Foil Team, finishing 6th. References 1950 births Living people 20th-century English mathematicians 21st-century English mathematicians British male fencers Olympic fencers for Great Britain Fencers at the 1976 Summer Olympics Fellows of Churchill College, Cambridge Fellows of New College, Oxford Cambridge mathematicians
https://en.wikipedia.org/wiki/Yoichi%20Miyaoka
is a mathematician who works in algebraic geometry and who proved (independently of Shing-Tung Yau's work) the Bogomolov–Miyaoka–Yau inequality in an Inventiones Mathematicae paper. In 1984, Miyaoka extended the Bogomolov–Miyaoka–Yau inequality to surfaces with quotient singularities, and in 2008 to orbifold surfaces. Doing so, he obtains sharp bound on the number of quotient singularities on surfaces of general type. Moreover, the inequality for orbifold surfaces gives explicit values for the coefficients of the so-called Lang-Vojta conjecture relating the degree of a curve on a surface with its geometric genus. References 20th-century Japanese mathematicians 21st-century Japanese mathematicians Living people Year of birth missing (living people)
https://en.wikipedia.org/wiki/Semigroup%20with%20two%20elements
In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two. There are exactly five nonisomorphic semigroups having two elements: O2, the null semigroup of order two, LO2, the left zero semigroup of order two, RO2, the right zero semigroup of order two, ({0,1}, ∧) (where "∧" is the logical connective "and"), or equivalently the set {0,1} under multiplication: the only semilattice with two elements and the only non-null semigroup with zero of order two, also a monoid, and ultimately the two-element Boolean algebra, (Z2, +2) (where Z2 = {0,1} and "+2" is "addition modulo 2"), or equivalently ({0,1}, ⊕) (where "⊕" is the logical connective "xor"), or equivalently the set {−1,1} under multiplication: the only group of order two. This is also isomorphic to (Z2, ·2), the multiplicative group of {0,1} modulo 2. The semigroups LO2 and RO2 are antiisomorphic. O2, and are commutative, and LO2 and RO2 are noncommutative. LO2, RO2 and are bands. Determination of semigroups with two elements Choosing the set as the underlying set having two elements, sixteen binary operations can be defined in A. These operations are shown in the table below. In the table, a matrix of the form indicates a binary operation on A having the following Cayley table. In this table: The semigroup denotes the two-element semigroup containing the zero element 0 and the unit element 1. The two binary operations defined by matrices in a green background are associative and pairing either with A creates a semigroup isomorphic to the semigroup . Every element is idempotent in this semigroup, so it is a band. Furthermore, it is commutative (abelian) and thus a semilattice. The order induced is a linear order, and so it is in fact a lattice and it is also a distributive and complemented lattice, i.e. it is actually the two-element Boolean algebra. The two binary operations defined by matrices in a blue background are associative and pairing either with A creates a semigroup isomorphic to the null semigroup O2 with two elements. The binary operation defined by the matrix in an orange background is associative and pairing it with A creates a semigroup. This is the left zero semigroup LO2. It is not commutative. The binary operation defined by the matrix in a purple background is associative and pairing it with A creates a semigroup. This is the right zero semigroup RO2. It is also not commutative. The two binary operations defined by matrices in a red background are associative and pairing either with A creates a semigroup isomorphic to the group . The remaining eight binary operations defined by matrices in a white background are not associative and hence none of them create a semigroup when paired with A. The two-element semigroup ({0,1}, ∧) The Cayley table for the semigroup ({0,1}, ) is given below: This is the simplest non-trivial example of a semigroup that is not a group. This semigroup has an identity element,
https://en.wikipedia.org/wiki/1962%E2%80%9363%20Boston%20Bruins%20season
The 1962–63 Boston Bruins season was the Bruins' 39th season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Awards and records Transactions See also 1962–63 NHL season References External links Boston Bruins seasons Boston Bruins Boston Bruins Boston Bruins Boston Bruins 1960s in Boston
https://en.wikipedia.org/wiki/1965%E2%80%9366%20Boston%20Bruins%20season
The 1965–66 Boston Bruins season was the Bruins' 42nd season in the NHL. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Awards and records Transactions Draft picks Boston's draft picks at the 1965 NHL Amateur Draft held at the Queen Elizabeth Hotel in Montreal, Quebec. Farm teams See also 1965–66 NHL season References External links Boston Bruins Boston Bruins Boston Bruins seasons Boston Bruins Boston Bruins 1960s in Boston
https://en.wikipedia.org/wiki/List%20of%20Rangers%20F.C.%20records%20and%20statistics
Rangers Football Club is a Scottish professional association football club based in Govan, Glasgow. They have played at their home ground, Ibrox, since 1899. Rangers were founding members of the Scottish Football League in 1890, and the Scottish Premier League in 1998. Rangers have won 55 domestic top-flight league trophies. The club's record appearance maker is John Greig, who made 755 appearances between 1961 and 1978 in all matches. Ally McCoist is the club's record goalscorer, scoring 355 goals during his Rangers career. This list encompasses the major honours won by Rangers as well as records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who had made most appearances in first-team competitions. It also records notable achievements by Rangers players on the international stage, and the highest transfer fees paid and received by the club. Attendance records at Ibrox are also included in the list. Honours Rangers have won honours both domestically and in European cup competitions. They have won the Scottish League Championship a record 55 times and the Scottish League Cup a record 27 times. In their first league season, 1890–91, they won the Scottish Football league jointly with Dumbarton and their most recent success came in the 2020–21 Scottish Premiership. Rangers were the first club in the world to win 50 first tier league titles, and have now won 55 domestic league titles. Rangers have also won seven domestic trebles. They won their 100th major trophy in 2000, the first club in the world to reach that milestone. They are the second most-honoured football club in the world, having won 117 trophies in total. The club has played in both Scotland and England's national cup competitions. Rangers reached the semi-final of the 1886–87 FA Cup only to be knocked out by eventual winners Aston Villa. Domestic League Scottish League Championship (first tier league title): Winners (55): 1891, 1899, 1900, 1901, 1902, 1911, 1912, 1913, 1918, 1920, 1921, 1923, 1924, 1925, 1927, 1928, 1929, 1930, 1931, 1933, 1934, 1935, 1937, 1939, 1947, 1949, 1950, 1953, 1956, 1957, 1959, 1961, 1963, 1964, 1975, 1976, 1978, 1987, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2003, 2005, 2009, 2010, 2011 2021 Runners-up (35): 1893, 1896, 1898, 1905, 1914, 1916, 1919, 1922, 1932, 1936, 1948, 1951, 1952, 1953, 1958, 1962, 1966, 1967, 1968, 1969, 1970, 1973, 1977, 1979, 1998, 2001, 2002, 2004, 2007, 2008, 2012, 2019, 2020, 2022, 2023. Scottish Championship (second-tier league title) Winners: 2016 Scottish League One (third tier league title) Winners: 2014 Scottish Third Division (fourth tier league title) Winners: 2013 Cups Scottish Cup: Winners (34): 1894, 1897, 1898, 1903, 1928, 1930, 1932, 1934, 1935, 1936, 1948, 1949, 1950, 1953, 1960, 1962, 1963, 1964, 1966, 1973, 1976, 1978, 1979, 1981, 1992, 1993, 1996, 1999, 2000, 2002, 2003, 2008, 2009 2022 Runne
https://en.wikipedia.org/wiki/1982%E2%80%9383%20Boston%20Bruins%20season
The 1982–83 Boston Bruins season was the Bruins' 59th season. Offseason Regular season Final standings Record vs. opponents Schedule and results Playoffs Player statistics Regular season Scoring Goaltending Playoffs Scoring Goaltending Awards and records Transactions Draft picks The 1982 NHL Entry Draft was held on June 9, 1982, at the held at the Montreal Forum in Montreal, Quebec. The Boston Bruins held the 1st overall draft pick. Farm teams See also 1982–83 NHL season References External links Boston Bruins seasons Boston Bruins Boston Bruins Adams Division champion seasons Boston Bruins Boston Bruins Bruins Bruins
https://en.wikipedia.org/wiki/Darlings%20Beach
Darlings Beach is a hamlet in Rural Municipality of Lac Pelletier No. 107, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the hamlet had a population of 0 in the Canada 2011 Census. The hamlet is located on the eastern shore of Lac Pelletier, within the Lac Pelletier Regional Park. It is approximately south and west of Swift Current, south of Highway 343. Demographics See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Lac Pelletier No. 107, Saskatchewan Former designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 4, Saskatchewan
https://en.wikipedia.org/wiki/Davin%2C%20Saskatchewan
Davin is a hamlet in the Canadian province of Saskatchewan, located approximately 40 km East of Regina. Demographics In the 2021 Census of Population conducted by Statistics Canada, Davin had a population of 50 living in 23 of its 25 total private dwellings, a change of from its 2016 population of 43. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Lajord No. 128, Saskatchewan Organized hamlets in Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/Delmas%2C%20Saskatchewan
Delmas is a hamlet in Battle River Rural Municipality No. 438, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the hamlet had a population of 128 in the Canada 2016 Census. The hamlet is located approximately west of North Battleford on Highway 16. Demographics In the 2021 Census of Population conducted by Statistics Canada, Delmas had a population of 103 living in 47 of its 51 total private dwellings, a change of from its 2016 population of 128. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Battle River No. 438, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 12, Saskatchewan
https://en.wikipedia.org/wiki/Eldersley%2C%20Saskatchewan
Eldersley is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Eldersley had a population of 25 living in 11 of its 13 total private dwellings, a change of from its 2016 population of 30. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Hamlets in Saskatchewan Tisdale No. 427, Saskatchewan
https://en.wikipedia.org/wiki/Evergreen%20Acres%2C%20Saskatchewan
Evergreen Acres is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Evergreen Acres had a population of 43 living in 24 of its 48 total private dwellings, a change of from its 2016 population of 20. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Mervin No. 499, Saskatchewan Organized hamlets in Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Computational%20sustainability
Computational sustainability is an emerging field that attempts to balance societal, economic, and environmental resources for the future well-being of humanity using methods from mathematics, computer science, and information science fields. Sustainability in this context refers to the world's ability to sustain biological, social, and environmental systems in the long term. Using the power of computers to process large quantities of information, decision making algorithms allocate resources based on real-time information. Applications advanced by this field are widespread across various areas. For example, artificial intelligence and machine learning techniques are created to promote long-term biodiversity conservation and species protection. Smart grids implement renewable resources and storage capabilities to control the production and expenditure of energy. Intelligent transportation system technologies can analyze road conditions and relay information to drivers so they can make smarter, more environmentally-beneficial decisions based on real-time traffic information. Origins and motivations The field of computational sustainability has been motivated by Our Common Future, a 1987 report from the World Commission on Environment and Development about the future of humanity. More recently, computational sustainability research has also been driven by the United Nation's sustainable development goals, a set of 17 goals for the sustainability of human economic, social, and environmental well-being world-wide. Researchers in computational sustainability have primarily focused on addressing problems in areas related to the environment (e.g., biodiversity conservation), sustainable energy infrastructure and natural resources, and societal aspects (e.g., global hunger crises). The computational aspects of computational sustainability leverage techniques from mathematics and computer science, in the areas of artificial intelligence, machine learning, algorithms, game theory, mechanism design, information science, optimization (including combinatorial optimization), dynamical systems, and multi-agent systems. Biodiversity and conservation Computational sustainability researchers have advanced techniques to combat the biodiversity loss facing the world during the current sixth extinction. Researchers have created computational methods for geospatially mapping the distribution, migration patterns, and wildlife corridors of species, which enable scientists to quantify conservation efforts and recommend effective policies. In addition to scientific research contributions, the computational sustainability community has also contributed technologies that support citizen science conservation initiatives. An example is the creation of eBird, which enables citizens to share sightings of birds and crowd-source the creation of a global bird distribution database for researchers. An example of successful application of eBird database is the Nature Conserva
https://en.wikipedia.org/wiki/Fairholme%2C%20Saskatchewan
Fairholme is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Fairholme had a population of 20 living in 8 of its 10 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Parkdale No. 498, Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Gray%2C%20Saskatchewan
Gray is a hamlet in the Canadian province of Saskatchewan. Gray is about 40 km southeast of Regina. Demographics In the 2021 Census of Population conducted by Statistics Canada, Gray had a population of 58 living in 24 of its 27 total private dwellings, a change of from its 2016 population of 94. With a land area of , it had a population density of in 2021. References External links Community website Designated places in Saskatchewan Lajord No. 128, Saskatchewan Organized hamlets in Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/Griffin%2C%20Saskatchewan
Griffin is a special service area within the Rural Municipality of Griffin No. 66 in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the community had a population of 111 (a 73.4% increase from 2011) in the Canada 2016 Census. The community is also the seat of the Rural Municipality of Griffin No. 66. Demographics In the 2021 Census of Population conducted by Statistics Canada, Griffin had a population of 128 living in 45 of its 55 total private dwellings, a change of from its 2016 population of 111. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Special Service Area References Designated places in Saskatchewan Griffin No. 66, Saskatchewan Special service areas in Saskatchewan Division No. 2, Saskatchewan
https://en.wikipedia.org/wiki/Gronlid%2C%20Saskatchewan
Gronlid is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Gronlid had a population of 71 living in 32 of its 35 total private dwellings, a change of from its 2016 population of 74. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Willow Creek No. 458, Saskatchewan
https://en.wikipedia.org/wiki/Hazel%20Dell%2C%20Saskatchewan
Hazel Dell is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Hazel Dell had a population of 15 living in 12 of its 16 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Hazel Dell No. 335, Saskatchewan Organized hamlets in Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/Hendon%2C%20Saskatchewan
Hendon is a hamlet in the Rural Municipality of Lakeview No. 337, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the hamlet had a population of 20 in the Canada 2016 Census. Demographics In the 2021 Census of Population conducted by Statistics Canada, Hendon had a population of 10 living in 6 of its 8 total private dwellings, a change of from its 2016 population of 20. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Lakeview No. 337, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 10, Saskatchewan
https://en.wikipedia.org/wiki/Hitchcock%20Bay
Hitchcock Bay is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Hitchcock Bay had a population of 108 living in 52 of its 162 total private dwellings, a change of from its 2016 population of 64. With a land area of , it had a population density of in 2021. References Coteau No. 255, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Hoey%2C%20Saskatchewan
Hoey is a hamlet in the Canadian province of Saskatchewan in the rural municipality of St. Louis No. 431, Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Hoey had a population of 53 living in 24 of its 26 total private dwellings, a change of from its 2016 population of 45. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan St. Louis No. 431, Saskatchewan Division No. 15, Saskatchewan
https://en.wikipedia.org/wiki/Horseshoe%20Bay%2C%20Saskatchewan
Horseshoe Bay is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Horseshoe Bay had a population of 90 living in 46 of its 170 total private dwellings, a change of from its 2016 population of 37. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Parkdale No. 498, Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Jasmin%2C%20Saskatchewan
Jasmin is an unincorporated community in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the community had a population of 5 in the Canada 2011 Census. Demographics See also List of communities in Saskatchewan References Ituna Bon Accord No. 246, Saskatchewan Former designated places in Saskatchewan Former villages in Saskatchewan Unincorporated communities in Saskatchewan Division No. 10, Saskatchewan
https://en.wikipedia.org/wiki/Ketchen%2C%20Saskatchewan
Ketchen is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Ketchen had a population of 20 living in 9 of its 9 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Preeceville No. 334, Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/Kuroki%2C%20Saskatchewan
Kuroki is a hamlet in the Rural Municipality of Sasman No. 336, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the hamlet had a population of 50 in the Canada 2016 Census. The community is named after the Japanese general Kuroki Tamemoto. Demographics In the 2021 Census of Population conducted by Statistics Canada, Kuroki had a population of 35 living in 24 of its 31 total private dwellings, a change of from its 2016 population of 50. With a land area of , it had a population density of in 2021. History As an interesting aside, this village was founded after the Japanese had won several victories in the war against Russia (Russo-Japanese War 1904–05). Britain was allied with Japan in this war and Japan was a very popular nation throughout the British Empire. Three towns in Saskatchewan along the CN line (Togo, Kuroki, Mikado), a regional park (Oyama), and CN Siding (Fukushiama) were named in honour of Japanese achievements in this war. Attractions A Japanese Garden was created by residents, complete with rock gardens and small pond. It has a sign in Japanese saying "Kuroki Japanese Gardens." On the western edge of town there is a small Ukrainian Orthodox church and St. Helena Cemetery. The grain elevator still stands in good condition but has been purchased and is now owned privately. Climate See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Sasman No. 336, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 10, Saskatchewan
https://en.wikipedia.org/wiki/Lakeview%2C%20Saskatchewan
Lakeview is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Lakeview had a population of 80 living in 40 of its 133 total private dwellings, a change of from its 2016 population of 42. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Lanz%20Point%2C%20Saskatchewan
Lanz Point is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Lanz Point had a population of 56 living in 23 of its 64 total private dwellings, a change of from its 2016 population of 37. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Laporte%2C%20Saskatchewan
Laporte is a hamlet in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the hamlet had a population of five in the Canada 2006 Census. References Chesterfield No. 261, Saskatchewan Former designated places in Saskatchewan Hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Little%20Swan%20River%2C%20Saskatchewan
Little Swan Subdivision is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Little Swan River had a population of 30 living in 12 of its 47 total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Hudson Bay No. 394, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Indexation%20of%20contracts
In statistics relating to national economies, the indexation of contracts also called "index linking" and "contract escalation" is a procedure when a contract includes a periodic adjustment to the prices paid for the contract provisions based on the level of a nominated price index. The purpose of indexation is to readjust contracts to account for inflation. In the United States, the consumer price index (CPI), producer price index (PPI) and Employment Cost Index (ECI) are the most frequently used indexes. See also Indexation Purchasing power Bureau of Labor Statistics References External links Contract escalation in glossary, U.S. Bureau of Labor Statistics Division of Information Services INDEXATION OF CONTRACTS, Glossary of Statistical Terms Contract Escalation Social statistics Economic data
https://en.wikipedia.org/wiki/Main%20Centre%2C%20Saskatchewan
Main Centre is a hamlet in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the hamlet had a reported population of 5 living in 3 of its 4 total private dwellings in the Canada 2011 Census. It is notable for being the birthplace of Homer Groening, the father of The Simpsons creator Matt Groening. References Former designated places in Saskatchewan Excelsior No. 166, Saskatchewan Hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Martinson%27s%20Beach
Martinson's Beach is a hamlet in the Canadian province of Saskatchewan. It is located on the western shore of Jackfish Lake. Demographics In the 2021 Census of Population conducted by Statistics Canada, Martinson's Beach had a population of 49 living in 22 of its 65 total private dwellings, a change of from its 2016 population of 50. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Mayfair%2C%20Saskatchewan
Mayfair is an organized hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Mayfair had a population of 20 living in 13 of its 19 total private dwellings, a change of from its 2016 population of 30. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meeting Lake No. 466, Saskatchewan Organized hamlets in Saskatchewan Division No. 16, Saskatchewan
https://en.wikipedia.org/wiki/Maymont%20Beach%2C%20Saskatchewan
Maymont Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Maymont Beach had a population of 36 living in 19 of its 45 total private dwellings, a change of from its 2016 population of 35. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Mohr%27s%20Beach%2C%20Saskatchewan
Mohr's Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Mohr's Beach had a population of 15 living in 8 of its 18 total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan McKillop No. 220, Saskatchewan Organized hamlets in Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/Neuanlage%2C%20Saskatchewan
Neuanlage is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Neuanlage had a population of 571 living in 174 of its 178 total private dwellings, a change of from its 2016 population of 522. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Rosthern No. 403, Saskatchewan Division No. 15, Saskatchewan
https://en.wikipedia.org/wiki/North%20Colesdale%20Park%2C%20Saskatchewan
North Colesdale Park is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, North Colesdale Park had a population of 22 living in 12 of its 28 total private dwellings, a change of from its 2016 population of 30. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan McKillop No. 220, Saskatchewan Organized hamlets in Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/North%20Shore%20Fishing%20Lake
North Shore Fishing Lake is a hamlet in the Rural Municipality of Sasman No. 336, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the hamlet had a population of 50 in the Canada 2016 Census. It is located on the north-eastern shore of Fishing Lake. Demographics In the 2021 Census of Population conducted by Statistics Canada, North Shore Fishing Lake had a population of 151 living in 70 of its 210 total private dwellings, a change of from its 2016 population of 74. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Sasman No. 336, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 10, Saskatchewan
https://en.wikipedia.org/wiki/North%20Weyburn
North Weyburn is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, North Weyburn had a population of 96 living in 32 of its 34 total private dwellings, a change of from its 2016 population of 111. With a land area of , it had a population density of in 2021. See also Weyburn Airport RCAF Station Weyburn References Designated places in Saskatchewan Organized hamlets in Saskatchewan Weyburn No. 67, Saskatchewan Division No. 2, Saskatchewan
https://en.wikipedia.org/wiki/Northside%2C%20Saskatchewan
Northside is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Northside had a population of 35 living in 21 of its 23 total private dwellings, a change of from its 2016 population of 30. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Paddockwood No. 520, Saskatchewan Division No. 15, Saskatchewan
https://en.wikipedia.org/wiki/Okla%2C%20Saskatchewan
Okla is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Okla had a population of 20 living in 9 of its 11 total private dwellings, a change of from its 2016 population of 10. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Hazel Dell No. 335, Saskatchewan Organized hamlets in Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/Ottman-Murray%20Beach
Ottman-Murray Beach is a hamlet in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the hamlet had a population of 15 in the Canada 2016 Census. It is located on the eastern shore of Fishing Lake. Demographics In the 2021 Census of Population conducted by Statistics Canada, Ottman-Murray Beach had a population of 46 living in 18 of its 52 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Hamlets of Saskatchewan Designated place References Sasman No. 336, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 10, Saskatchewan
https://en.wikipedia.org/wiki/Oungre
Oungre is a hamlet in the Canadian province of Saskatchewan. It is in the RM of Souris Valley No. 7. Demographics In the 2021 Census of Population conducted by Statistics Canada, Oungre had a population of 10 living in 9 of its 11 total private dwellings, a change of from its 2016 population of 20. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan List of hamlets in Saskatchewan Oungre Memorial Regional Park Block settlement§Jewish References Designated places in Saskatchewan Hamlets in Saskatchewan Souris Valley No. 7, Saskatchewan Division No. 2, Saskatchewan
https://en.wikipedia.org/wiki/Parkland%20Beach%2C%20Saskatchewan
Parkland Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Parkland Beach had a population of 27 living in 15 of its 50 total private dwellings, a change of from its 2016 population of 10. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Mervin No. 499, Saskatchewan Organized hamlets in Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Parkview%2C%20Saskatchewan
Parkview is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Parkview had a population of 56 living in 30 of its 76 total private dwellings, a change of from its 2016 population of 32. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Marquis No. 191, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Pathlow%2C%20Saskatchewan
Pathlow is a hamlet in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the hamlet had a population of 15 in the Canada 2006 Census. Originally settled in the year 1766, Pathlow was one of the first permanent settlements in Saskatchewan as Eastern Europeans traveled west in search North American resources, herbs, and spices. The surrounding area of Pathlow, became quickly settled, due to its large quantity of farm land. Shortly after, circa 1890, more settlers arrived to the surrounding area. At is peak, the hamlet had nearly 400 people. The town's population dropped to less than 50 residents in 1950. Due to the fire of 1949 when the main brothel burnt down causing massive blows to the economy. References Former designated places in Saskatchewan Flett's Springs No. 429, Saskatchewan Division No. 15, Saskatchewan
https://en.wikipedia.org/wiki/Peebles%2C%20Saskatchewan
Peebles is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Peebles had a population of 15 living in 8 of its 10 total private dwellings, a change of from its 2016 population of 20. With a land area of , it had a population density of in 2021. References Chester No. 125, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 5, Saskatchewan
https://en.wikipedia.org/wiki/Pelican%20Cove%2C%20Saskatchewan
Pelican Cove is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Pelican Cove had a population of 69 living in 39 of its 88 total private dwellings, a change of from its 2016 population of 42. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Leask No. 464, Saskatchewan Organized hamlets in Saskatchewan Division No. 16, Saskatchewan
https://en.wikipedia.org/wiki/Pelican%20Point%2C%20Saskatchewan
Pelican Point is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Pelican Point had a population of 50 living in 23 of its 58 total private dwellings, a change of from its 2016 population of 29. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Percival%2C%20Saskatchewan
Percival was a hamlet in the Canadian province of Saskatchewan on the Trans-Canada Highway east of Broadview and west of Whitewood. Listed as a designated place by Statistics Canada, the hamlet had a reported population of two in the Canada 2006 Census, down from 15 in 2001. References Willowdale No. 153, Saskatchewan Hamlets in Saskatchewan Former designated places in Saskatchewan Division No. 5, Saskatchewan
https://en.wikipedia.org/wiki/Powm%20Beach
Powm Beach is a hamlet in the Canadian province of Saskatchewan.It is on the shore of Turtle Lake. Demographics In the 2021 Census of Population conducted by Statistics Canada, Powm Beach had a population of 59 living in 28 of its 97 total private dwellings, a change of from its 2016 population of 37. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Mervin No. 499, Saskatchewan Organized hamlets in Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Prince%2C%20Saskatchewan
Prince is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Prince had a population of 37 living in 12 of its 14 total private dwellings, a change of from its 2016 population of 50. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Runnymede%2C%20Saskatchewan
Runnymede is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Runnymede had a population of 20 living in 9 of its 9 total private dwellings, a change of from its 2016 population of 30. With a land area of , it had a population density of in 2021. References Cote No. 271, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/Sand%20Point%20Beach
Sand Point Beach is an unincorporated community in the Canadian province of Saskatchewan. Listed as a designated place by Statistics Canada, the community had a population of 64 in the Canada 2006 Census. References Former designated places in Saskatchewan Marquis No. 191, Saskatchewan Unincorporated communities in Saskatchewan
https://en.wikipedia.org/wiki/Sarnia%20Beach%2C%20Saskatchewan
Sarnia Beach is a hamlet within the Rural Municipality of Sarnia No. 221 in the province of Saskatchewan, Canada. Demographics In the 2021 Census of Population conducted by Statistics Canada, Sarnia Beach had a population of 37 living in 18 of its 54 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Sarnia No. 221, Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/Scout%20Lake
Scout Lake is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Scout Lake had a population of 10 living in 8 of its 12 total private dwellings, a change of from its 2016 population of 10. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Willow Bunch No. 42, Saskatchewan Division No. 3, Saskatchewan
https://en.wikipedia.org/wiki/Sleepy%20Hollow%2C%20Saskatchewan
Sleepy Hollow is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Sleepy Hollow had a population of 29 living in 11 of its 26 total private dwellings, a change of from its 2016 population of 18. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Spring%20Bay%2C%20Saskatchewan
Spring Bay is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Spring Bay had a population of 20 living in 13 of its 39 total private dwellings, a change of from its 2016 population of 10. With a land area of , it had a population density of in 2021. Government Past hamlet board members included: Chair - Karen Kramer (Term expired in 2021) Secretary - David Price (Term expired in 2019) Member - Devin Krohn (Term expired in 2020) References Designated places in Saskatchewan McKillop No. 220, Saskatchewan Organized hamlets in Saskatchewan Division No. 6, Saskatchewan
https://en.wikipedia.org/wiki/Summerfield%20Beach%2C%20Saskatchewan
Summerfield Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Summerfield Beach had a population of 44 living in 16 of its 39 total private dwellings, a change of from its 2016 population of 43. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Swan%20Plain
Swan Plain is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Swan Plain had a population of 5 living in 6 of its 12 total private dwellings, a change of from its 2016 population of 15. With a land area of , it had a population density of in 2021. References Clayton No. 333, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/Trevessa%20Beach%2C%20Saskatchewan
Trevessa Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Trevessa Beach had a population of 52 living in 28 of its 41 total private dwellings, a change of from its 2016 population of 60. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Trossachs%2C%20Saskatchewan
Trossachs is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Trossachs had a population of 50 living in 14 of its 15 total private dwellings, a change of from its 2016 population of 42. With a land area of , it had a population density of in 2021. References Brokenshell No. 68, Saskatchewan Designated places in Saskatchewan Organized hamlets in Saskatchewan Division No. 2, Saskatchewan
https://en.wikipedia.org/wiki/Turtle%20Lake%20South%20Bay
Turtle Lake South Bay is a hamlet in the Canadian province of Saskatchewan. It is on the shore of Turtle Lake. Demographics In the 2021 Census of Population conducted by Statistics Canada, Turtle Lake South Bay had a population of 61 living in 32 of its 107 total private dwellings, a change of from its 2016 population of 41. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Mervin No. 499, Saskatchewan Organized hamlets in Saskatchewan Division No. 17, Saskatchewan
https://en.wikipedia.org/wiki/Usherville
Usherville is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, Usherville had a population of 5 living in 3 of its 15 total private dwellings, a change of from its 2016 population of . With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Preeceville No. 334, Saskatchewan Division No. 9, Saskatchewan
https://en.wikipedia.org/wiki/West%20Chatfield%20Beach%2C%20Saskatchewan
West Chatfield Beach is a hamlet in the Canadian province of Saskatchewan. Demographics In the 2021 Census of Population conducted by Statistics Canada, West Chatfield Beach had a population of 29 living in 14 of its 43 total private dwellings, a change of from its 2016 population of 23. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Meota No. 468, Saskatchewan Organized hamlets in Saskatchewan
https://en.wikipedia.org/wiki/Westview%2C%20Saskatchewan
Westview is a hamlet in the Canadian province of Saskatchewan. It lies adjacent to the west side of the city of Melville. Demographics In the 2021 Census of Population conducted by Statistics Canada, Westview had a population of 53 living in 19 of its 21 total private dwellings, a change of from its 2016 population of 45. With a land area of , it had a population density of in 2021. References Designated places in Saskatchewan Organized hamlets in Saskatchewan Stanley No. 215, Saskatchewan Division No. 5, Saskatchewan
https://en.wikipedia.org/wiki/Wishart%2C%20Saskatchewan
Wishart is a hamlet in Emerald Rural Municipality No. 277 in the Canadian province of Saskatchewan. It is listed as a designated place by Statistics Canada. The hamlet had a population of 95 in the Canada 2006 Census. It previously held the status of village until January 1, 2002. The hamlet is located 32 km southwest of the village of Elfros at the intersection of highway 639 and highway 743. History Prior to January 1, 2002, Wishart was incorporated as a village, and was restructured as a hamlet under the jurisdiction of the Rural municipality of Emerald on that date. Demographics In the 2021 Census of Population conducted by Statistics Canada, Wishart had a population of 50 living in 30 of its 35 total private dwellings, a change of from its 2016 population of 70. With a land area of , it had a population density of in 2021. See also List of communities in Saskatchewan Hamlets of Saskatchewan References Designated places in Saskatchewan Emerald No. 277, Saskatchewan Former villages in Saskatchewan Organized hamlets in Saskatchewan Populated places disestablished in 2002 Division No. 10, Saskatchewan