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https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Alaska
This is a list of law enforcement agencies in the state of Alaska. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 50 law enforcement agencies employing 1,298 sworn police officers, about 189 for each 100,000 residents. State agencies Alaska D...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Arizona
This is a list of law enforcement agencies in the state of Arizona. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 141 law enforcement agencies employing 14,591 sworn police officers, about 224 for each 100,000 residents. State agencies Arizo...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Arkansas
This is a list of law enforcement agencies in the state of Arkansas. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 237 law enforcement agencies employing 6,779 sworn police officers, about 236 for each 100,000 residents. State agencies Arkan...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20California
According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, California had 509 law enforcement agencies employing 79,431 sworn peace officers, about 217 for each 100,000 residents. State agencies California Department of Justice California Department of Justice Special ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Colorado
This is a list of law enforcement agencies in the U.S. state of Colorado. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 246 law enforcement agencies employing 12,069 sworn police officers, about 245 for each 100,000 residents. State agencies ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Connecticut
This is a list of law enforcement agencies in the state of Connecticut. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 143 law enforcement agencies employing 8,281 sworn police officers, about 236 for each 100,000 residents. State agencies Co...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Delaware
This is a list of law enforcement agencies in the state of Delaware. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 49 law enforcement agencies employing 2,131 sworn police officers, about 243 for each 100,000 residents. State agencies Delaw...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20the%20District%20of%20Columbia
This is a list of law enforcement agencies in the District of Columbia. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the District has six local law enforcement agencies employing 4,262 sworn police officers, about 722 for each 100,000 residents. This is the...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Florida
This is a list of Law Enforcement Agencies in the state of Florida. According to the US Bureau of Justice Statistics' 2018 Census of State and Local Law Enforcement Agencies, the state had 373 law enforcement agencies employing 47,177 sworn police officers, about 222 for each 100,000 residents. Federal Agencies The...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Georgia
This is a list of law enforcement agencies in the U.S. state of Georgia. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 628 law enforcement agencies employing 26,551 sworn police officers, about 274 for each 100,000 residents. Georgia also host...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Hawaii
This is a list of law enforcement agencies located in Hawaii. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 7 law enforcement agencies employing 3,234 sworn police officers, about 251 for each 100,000 residents. State agencies Hawaii Divisio...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Idaho
This is a list of law enforcement agencies in the U.S. state of Idaho. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 117 law enforcement agencies employing 3,146 sworn police officers, about 206 for each 100,000 residents. State agencies Ida...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Illinois
This is a list of law enforcement agencies in the state of Illinois. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 877 law enforcement agencies employing 41,277 sworn police officers, about 321 for each 100,000 residents. State agencies Illi...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Indiana
This is a list of law enforcement agencies in the state of Indiana. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 482 law enforcement agencies employing 13,171 sworn police officers, about 206 for each 100,000 residents. Since 2012, the Indian...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Iowa
This is a list of law enforcement agencies in the state of Iowa. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 392 law enforcement agencies employing 5,830 sworn police officers, about 195 for each 100,000 residents. Federal Agencies Office o...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Kansas
This is a list of law enforcement agencies in the state of Kansas. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 371 law enforcement agencies employing 7,450 sworn police officers, about 266 for each 100,000 residents. State agencies Kansas ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Kentucky
This is a list of law enforcement agencies in the Commonwealth of Kentucky. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 389 law enforcement agencies employing 7,833 sworn police officers, about 183 for each 100,000 residents. State agencies ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Louisiana
This is a list of law enforcement agencies in Louisiana. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 348 law enforcement agencies employing 18,050 sworn police officers, about 405 for each 100,000 residents. This is the largest ratio of polic...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Maine
This is a list of law enforcement agencies in the state of Maine. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 146 law enforcement agencies employing 2,569 sworn police officers, about 195 for each 100,000 residents. State agencies Maine De...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Maryland
This is a list of law enforcement agencies in the state of Maryland. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 142 law enforcement agencies employing 16,013 sworn police officers, about 283 for each 100,000 residents. State agencies Mar...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Massachusetts
This is a list of law enforcement agencies in the Commonwealth of Massachusetts. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 357 law enforcement agencies employing 18,342 sworn police officers, about 280 for each 100,000 residents. Federal A...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Michigan
This is a list of law enforcement agencies in the state of Michigan. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 571 law enforcement agencies employing 19,009 sworn police officers, about 190 for each 100,000 residents. State agencies Mich...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Minnesota
This is a list of law enforcement agencies in the state of Minnesota. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 448 law enforcement agencies employing 9,667 sworn police officers, about 185 for each 100,000 residents. State agencies Minn...
https://en.wikipedia.org/wiki/Ulsan%20Airport
Ulsan Airport is an airport in Ulsan, South Korea. In 2018, 817,341 passengers used the airport. Airlines and destinations Statistics Facility Passenger Terminal: 8,651 m2 Runway: Direction= 18/36 ; Length x Width = 2000 m x 45 m Apron: 3,480 m2 (Four B737s can be parked simultaneously.) Ground Transpor...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Mississippi
This is a list of law enforcement agencies in the state of Mississippi. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 342 law enforcement agencies employing 7,707 sworn police officers, about 262 for each 100,000 residents. Per the state consti...
https://en.wikipedia.org/wiki/Yeosu%20Airport
Yeosu Airport is an airport in Yeosu, South Korea . In 2018, 590,112 passengers used the airport. Airlines and destinations Statistics Ground transportation City Bus No. 31, 32, 33, 34, 35, 96 References Yeosu Airport (in English) Airports in South Korea Yeosu Airports established in 1972 1972 establishments in ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Missouri
This is a list of law enforcement agencies in the state of Missouri. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 576 law enforcement agencies employing 14,554 sworn police officers, about 244 for each 100,000 residents. State agencies Mis...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Montana
This is a list of law enforcement agencies in the state of Montana. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 119 law enforcement agencies employing 3,229 sworn police officers, about 201 for each 100,000 residents. State agencies Montana...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Nebraska
This is a list of law enforcement agencies in the state of Nebraska. According to the U.S. Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 225 law enforcement agencies employing 3,765 sworn officers, about 211 for each 100,000 residents. State agencies Nebraska Bra...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20New%20Hampshire
This is a list of law enforcement agencies in the state of New Hampshire. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 208 law enforcement agencies employing 2,936 sworn police officers, about 222 for each 100,000 residents. State agencies ...
https://en.wikipedia.org/wiki/1%20%E2%88%92%202%20%2B%203%20%E2%88%92%204%20%2B%20%E2%8B%AF
In mathematics, 1 − 2 + 3 − 4 + ··· is an infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as The infinite series diverges, meaning that its sequence of partial sums, , does not tend tow...
https://en.wikipedia.org/wiki/John%20Friedlander
John Friedlander is a Canadian mathematician specializing in analytic number theory. He received his B.Sc. from the University of Toronto in 1965, an M.A. from the University of Waterloo in 1966, and a Ph.D. from Pennsylvania State University in 1972. He was a lecturer at M.I.T. in 1974–76, and has been on the faculty...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20New%20Jersey
This is a list of law enforcement agencies in the state of New Jersey. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 550 law enforcement agencies employing 33,704 sworn police officers, about 389 for each 100,000 residents. State agencies New...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20New%20Mexico
This is a list of law enforcement agencies in the state of New Mexico. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 146 law enforcement agencies employing 5,010 sworn police officers, about 252 for each 100,000 residents. This is almost exactl...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20North%20Carolina
This is a list of law enforcement agencies in the state of North Carolina. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 504 law enforcement agencies employing 23,442 sworn police officers, about 254 for each 100,000 residents. As of June 2022,...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20North%20Dakota
This is a list of law enforcement agencies in the state of North Dakota. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 114 law enforcement agencies employing 1,324 sworn officers, about 206 for each 100,000 residents. State agencies North Dako...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Ohio
This is a list of law enforcement agencies in the state of Ohio. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 831 law enforcement agencies employing 25,992 sworn police officers, about 225 for each 100,000 residents. State agencies Ohio Atto...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Oklahoma
This is a list of law enforcement agencies in the state of Oklahoma. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 483 law enforcement agencies employing 8,639 sworn police officers, about 237 for each 100,000 residents. State agencies Attor...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Oregon
This is a list of law enforcement agencies in the U.S. state of Oregon. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 174 law enforcement agencies employing 6,695 sworn police officers, about 177 for each 100,000 residents. State agencies Or...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Rhode%20Island
According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 48 law enforcement agencies employing 2,828 sworn police officers, about 268 for each 100,000 residents. State agencies Rhode Island Department of Corrections Rhode Island Department of Environmen...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20South%20Carolina
This is a list of law enforcement agencies in the state of South Carolina. According to the US Bureau of Justice Statistics' 2022 'Census of State and Local Law Enforcement Agencies,'' the state had 272 law enforcement agencies employing 11,674 sworn police officers, about 259 for each 100,000 residents. State agenci...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20South%20Dakota
This is a list of law enforcement agencies in the state of South Dakota. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 155 law enforcement agencies employing 1,636 sworn police officers, about 203 for each 100,000 residents. State agencies So...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Tennessee
This is a list of law enforcement agencies in the state of Tennessee. According to the United States Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 375 law enforcement agencies employing 15,976 sworn police officers, about 256 for each 100,000 residents. State age...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Texas
This is a list of law enforcement agencies in the U.S. state of Texas. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 1,913 law enforcement agencies, the most of any state. These agencies employed 59,219 sworn police officers, about 244 for each...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Utah
This is a list of law enforcement agencies in the state of Utah. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 136 law enforcement agencies employing 4,782 sworn police officers, about 175 for each 100,000 residents. State agencies Utah Depa...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Vermont
This is a list of law enforcement agencies in the state of Vermont. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 69 law enforcement agencies employing 1,103 sworn police officers, about 178 for each 100,000 residents. State agencies Vermont...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Virginia
This is a list of law enforcement agencies in the state of Virginia. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 340 law enforcement agencies employing 22,848 sworn police officers, about 293 for each 100,000 residents. State agencies Virgi...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Washington%20%28state%29
This is a list of law enforcement agencies in the US state of Washington. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 260 law enforcement agencies employing 11,411 sworn police officers, about 174 for each 100,000 residents. The state has the...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20West%20Virginia
This is a list of law enforcement agencies in the state of West Virginia. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 233 law enforcement agencies employing 3,382 sworn police officers, about 186 for each 100,000 residents. State agencies ...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Wisconsin
This is a list of law enforcement agencies in the state of Wisconsin. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 529 law enforcement agencies employing 13,730 sworn police officers, about 186 for each 100,000 residents. State agencies Wi...
https://en.wikipedia.org/wiki/Riemann%E2%80%93Hilbert%20problem
In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex plane. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others (see the book by C...
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Wyoming
This is a list of law enforcement agencies in the state of Wyoming. According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 90 law enforcement agencies employing 1,691 sworn police officers, about 317 for each 100,000 residents. State agencies Wyoming...
https://en.wikipedia.org/wiki/List%20of%20Middlesbrough%20F.C.%20records%20and%20statistics
This article contains the honours, records and statistics of Middlesbrough Football Club. This article lists all of the major honours won by Middlesbrough since their foundation. This list also lists the major playing honours including top goalscorer and most appearances. The Club records including record transfer fees...
https://en.wikipedia.org/wiki/Bing%20metrization%20theorem
In topology, the Bing metrization theorem, named after R. H. Bing, characterizes when a topological space is metrizable. Formal statement The theorem states that a topological space is metrizable if and only if it is regular and T0 and has a σ-discrete basis. A family of sets is called σ-discrete when it is a union...
https://en.wikipedia.org/wiki/Collectionwise%20normal%20space
In mathematics, a topological space is called collectionwise normal if for every discrete family Fi (i ∈ I) of closed subsets of there exists a pairwise disjoint family of open sets Ui (i ∈ I), such that Fi ⊆ Ui. Here a family of subsets of is called discrete when every point of has a neighbourhood that intersect...
https://en.wikipedia.org/wiki/BJPS
BJPS may refer to: Brebeuf Jesuit Preparatory School British Journal for the Philosophy of Science British Journal of Political Science Brazilian Journal of Probability and Statistics
https://en.wikipedia.org/wiki/Viacheslav%20Belavkin
Viacheslav Pavlovich Belavkin (; 20 May 1946 – 27 November 2012) was a Russian-British professor in applied mathematics at the University of Nottingham. An active researcher, he was one of the pioneers of quantum probability. His research spanned areas such as quantum filtering, quantum information and quantum chaos. ...
https://en.wikipedia.org/wiki/Kalmanson%20combinatorial%20conditions
In mathematics, the Kalmanson combinatorial conditions are a set of conditions on the distance matrix used in determining the solvability of the traveling salesman problem. These conditions apply to a special kind of cost matrix, the Kalmanson matrix, and are named after Kenneth Kalmanson. References . . . . . Combi...
https://en.wikipedia.org/wiki/Virginia%20Ragsdale
Virginia Ragsdale (December 13, 1870 – June 4, 1945) was a teacher and mathematician specializing in algebraic curves. She is most known as the creator of the Ragsdale conjecture. Early life Ragsdale was born on a farm in Jamestown, North Carolina the third child of John Sinclair Ragsdale and Emily Jane Idol. John wa...
https://en.wikipedia.org/wiki/Christian%20August%20Hausen
Christian August Hausen (1693–1743) was a German mathematician who is known for his research on electricity. Biography Hausen studied mathematics at the University of Wittenberg and received his master's degree in 1712. He became an extraordinary professor of mathematics at the University of Leipzig at the age of 21 a...
https://en.wikipedia.org/wiki/Laser%20power%20scaling
Power scaling of a laser is increasing its output power without changing the geometry, shape, or principle of operation. Power scalability is considered an important advantage in a laser design. This means it can increase power without changing outside features. Usually, power scaling requires a more powerful pump sou...
https://en.wikipedia.org/wiki/Spherical%20design
A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the average value of any polynomial f of degree t or less on the set equals the average value of f on the whole sphere (that is, the integral of f over Sd divided by the ar...
https://en.wikipedia.org/wiki/Probability%20matching
Probability matching is a decision strategy in which predictions of class membership are proportional to the class base rates. Thus, if in the training set positive examples are observed 60% of the time, and negative examples are observed 40% of the time, then the observer using a probability-matching strategy will pr...
https://en.wikipedia.org/wiki/Base%20rate
In probability and statistics, the base rate (also known as prior probabilities) is the class of probabilities unconditional on "featural evidence" (likelihoods). It is the proportion of individuals in a population who have a certain characteristic or trait. For example, if 1% of the population were medical professio...
https://en.wikipedia.org/wiki/Mark%20L.%20Perkins
Mark L. Perkins is the president of InnerSight. He served as president of Towson University from July 2001 to April 2002. Education Perkins earned a doctorate in psychometrics and statistics from the University of Georgia in 1976. He received his master's in psychometrics and research design from the same institution...
https://en.wikipedia.org/wiki/Charles%20Leedham-Green
Charles R. Leedham-Green is a retired professor of mathematics at Queen Mary, University of London, known for his work in group theory. He completed his DPhil at the University of Oxford. His parents were John Charles Leedham-Green (1902–1984), a surgeon and general practitioner in Southwold, and Gertrude Mary Somervi...
https://en.wikipedia.org/wiki/Abel%27s%20summation%20formula
In mathematics, Abel's summation formula, introduced by Niels Henrik Abel, is intensively used in analytic number theory and the study of special functions to compute series. Formula Let be a sequence of real or complex numbers. Define the partial sum function by for any real number . Fix real numbers , and let ...
https://en.wikipedia.org/wiki/Kuratowski%27s%20free%20set%20theorem
Kuratowski's free set theorem, named after Kazimierz Kuratowski, is a result of set theory, an area of mathematics. It is a result which has been largely forgotten for almost 50 years, but has been applied recently in solving several lattice theory problems, such as the congruence lattice problem. Denote by the set o...
https://en.wikipedia.org/wiki/Refinement%20monoid
In mathematics, a refinement monoid is a commutative monoid M such that for any elements a0, a1, b0, b1 of M such that a0+a1=b0+b1, there are elements c00, c01, c10, c11 of M such that a0=c00+c01, a1=c10+c11, b0=c00+c10, and b1=c01+c11. A commutative monoid M is said to be conical if x+y=0 implies that x=y=0, for any ...
https://en.wikipedia.org/wiki/Ken%20Ono
Ken Ono (born March 20, 1968) is an American mathematician who specializes in number theory, especially in integer partitions, modular forms, umbral moonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan. He is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathemati...
https://en.wikipedia.org/wiki/Fraction%20of%20variance%20unexplained
In statistics, the fraction of variance unexplained (FVU) in the context of a regression task is the fraction of variance of the regressand (dependent variable) Y which cannot be explained, i.e., which is not correctly predicted, by the explanatory variables X. Formal definition Suppose we are given a regression funct...
https://en.wikipedia.org/wiki/Congruence%20lattice%20problem
In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most famous and long-standing open problems in lattice theory; it had a deep i...
https://en.wikipedia.org/wiki/Umbilical%20point
In the differential geometry of surfaces in three dimensions, umbilics or umbilical points are points on a surface that are locally spherical. At such points the normal curvatures in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a principal direction. The name "umbili...
https://en.wikipedia.org/wiki/Z%2A%20theorem
In mathematics, George Glauberman's Z* theorem is stated as follows: Z* theorem: Let G be a finite group, with O(G) being its maximal normal subgroup of odd order. If T is a Sylow 2-subgroup of G containing an involution not conjugate in G to any other element of T, then the involution lies in Z*(G), which is the in...
https://en.wikipedia.org/wiki/Maximal%20semilattice%20quotient
In abstract algebra, a branch of mathematics, a maximal semilattice quotient is a commutative monoid derived from another commutative monoid by making certain elements equivalent to each other. Every commutative monoid can be endowed with its algebraic preordering ≤ . By definition, x≤ y holds, if there exists z such ...
https://en.wikipedia.org/wiki/Principal%20direction
A principal direction can refer to one of the following: Principal directions (geometry) - In differential geometry, one of the directions of principal curvature. Principal directions - a term used in gear nomenclature. In stress analysis, a set of axes where the normal stress vector is maximized. See Stress (mechanic...
https://en.wikipedia.org/wiki/ZJ%20theorem
In mathematics, George Glauberman's ZJ theorem states that if a finite group G is p-constrained and p-stable and has a normal p-subgroup for some odd prime p, then O(G)Z(J(S)) is a normal subgroup of G, for any Sylow p-subgroup S. Notation and definitions J(S) is the Thompson subgroup of a p-group S: the subgroup gene...
https://en.wikipedia.org/wiki/Dupin%20indicatrix
In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. Draw a plane parallel to the tangent plane and a small distance away from it. Consider the intersection of the surface with this plane. The shape of the intersection is related to the Gaussian curvature. The Dup...
https://en.wikipedia.org/wiki/Banach%27s%20matchbox%20problem
Banach's match problem is a classic problem in probability attributed to Stefan Banach. Feller says that the problem was inspired by a humorous reference to Banach's smoking habit in a speech honouring him by Hugo Steinhaus, but that it was not Banach who set the problem or provided an answer. Suppose a mathematicia...
https://en.wikipedia.org/wiki/Sterility%20assurance%20level
In microbiology, sterility assurance level (SAL) is the probability that a single unit that has been subjected to sterilization nevertheless remains nonsterile. It is never possible to prove that all organisms have been destroyed, as the likelihood of survival of an individual microorganism is never zero. So SAL is us...
https://en.wikipedia.org/wiki/Bose%E2%80%93Einstein
Bose–Einstein may refer to: Bose–Einstein condensate Bose–Einstein condensation (network theory) Bose–Einstein correlations Bose–Einstein statistics
https://en.wikipedia.org/wiki/Fermi%E2%80%93Dirac
Fermi–Dirac may refer to: Fermi–Dirac statistics or Fermi–Dirac distribution Fermi–Dirac integral (disambiguation) Complete Fermi–Dirac integral Incomplete Fermi–Dirac integral See also Fermi (disambiguation) Dirac (disambiguation)
https://en.wikipedia.org/wiki/Depth%20%28ring%20theory%29
In commutative and homological algebra, depth is an important invariant of rings and modules. Although depth can be defined more generally, the most common case considered is the case of modules over a commutative Noetherian local ring. In this case, the depth of a module is related with its projective dimension by the...
https://en.wikipedia.org/wiki/Robert%20Chote
Sir Robert William Chote (born 24 January 1968) is a British economist and chair of the UK Statistics Authority. He was previously chairman of the Office of Budget Responsibility from 2010 to 2020. Education Chote completed his secondary education at St Mary's College in Bitterne Park, Southampton. In 1989, he graduat...
https://en.wikipedia.org/wiki/Fra%C5%88kov%C3%A1%E2%80%93Helly%20selection%20theorem
In mathematics, the Fraňková–Helly selection theorem is a generalisation of Helly's selection theorem for functions of bounded variation to the case of regulated functions. It was proved in 1991 by the Czech mathematician Dana Fraňková. Background Let X be a separable Hilbert space, and let BV([0, T]; X) denote the n...
https://en.wikipedia.org/wiki/Regulated%20function
In mathematics, a regulated function, or ruled function, is a certain kind of well-behaved function of a single real variable. Regulated functions arise as a class of integrable functions, and have several equivalent characterisations. Regulated functions were introduced by Nicolas Bourbaki in 1949, in their book "Liv...
https://en.wikipedia.org/wiki/Divergent%20geometric%20series
In mathematics, an infinite geometric series of the form is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case This is true of any summation method that posses...
https://en.wikipedia.org/wiki/Euler%20summation
In the mathematics of convergent and divergent series, Euler summation is a summation method. That is, it is a method for assigning a value to a series, different from the conventional method of taking limits of partial sums. Given a series Σan, if its Euler transform converges to a sum, then that sum is called the Eul...
https://en.wikipedia.org/wiki/Tien-Yien%20Li
Tien-Yien Li (李天岩) (June 28, 1945 – June 25, 2020) was a University Distinguished Professor of Mathematics and University Distinguished Professor Emeritus at Michigan State University. There, he spent 42 years and supervised 26 Ph.D. dissertations. Early life and education Li was born on June 28, 1945, in Sha County,...
https://en.wikipedia.org/wiki/Predictive%20value%20of%20tests
Predictive value of tests is the probability of a target condition given by the result of a test, often in regard to medical tests. In cases where binary classification can be applied to the test results, such yes versus no, test target (such as a substance, symptom or sign) being present versus absent, or either a po...
https://en.wikipedia.org/wiki/Trefftz%20method
In mathematics, the Trefftz method is a method for the numerical solution of partial differential equations named after the German mathematician Erich Trefftz(de) (1888–1937). It falls within the class of finite element methods. Introduction The hybrid Trefftz finite-element method has been considerably advanced si...
https://en.wikipedia.org/wiki/Female%20condom
An internal condom (also known as a femidom or female condom) is a barrier device that is used during sexual intercourse as a barrier contraceptive to reduce the probability of pregnancy or a sexually transmitted infection (STI). Meant as an alternative to the condom, it was invented by Danish MD Lasse Hessel and desig...
https://en.wikipedia.org/wiki/Moulton%20plane
In incidence geometry, the Moulton plane is an example of an affine plane in which Desargues's theorem does not hold. It is named after the American astronomer Forest Ray Moulton. The points of the Moulton plane are simply the points in the real plane R2 and the lines are the regular lines as well with the exception th...
https://en.wikipedia.org/wiki/Tibor%20%C5%A0al%C3%A1t
Tibor Šalát ( – ) was a Slovak mathematician, professor of mathematics, and Doctor of Mathematics who specialized in number theory and real analysis. He was the author and co-author of undergraduate and graduate textbooks in mathematics, mostly in Slovak. And most of his scholarly papers have been published in various ...
https://en.wikipedia.org/wiki/Takashi%20Amano%20%28footballer%29
is a Japanese football player who currently plays for the J3 League team Nagano Parceiro. Career statistics Updated to 23 February 2017. J-League Firsts Appearance: April 14, 2007. Yokohama F Marinos 5 vs 0 Ōita Trinita, Nissan Stadium Honours Yokohama F. Marinos Emperor's Cup: 2013 References External links Pro...
https://en.wikipedia.org/wiki/Rename%20%28relational%20algebra%29
In relational algebra, a rename is a unary operation written as where: is a relation and are attribute names is an attribute of The result is identical to except that the attribute in all tuples is renamed to . For an example, consider the following invocation of on an relation and the result of that inv...
https://en.wikipedia.org/wiki/Solder%20form
In mathematics, more precisely in differential geometry, a soldering (or sometimes solder form) of a fiber bundle to a smooth manifold is a manner of attaching the fibers to the manifold in such a way that they can be regarded as tangent. Intuitively, soldering expresses in abstract terms the idea that a manifold may ...
https://en.wikipedia.org/wiki/Covariance%20function
In probability theory and statistics, the covariance function describes how much two random variables change together (their covariance) with varying spatial or temporal separation. For a random field or stochastic process Z(x) on a domain D, a covariance function C(x, y) gives the covariance of the values of the rando...
https://en.wikipedia.org/wiki/No-wandering-domain%20theorem
In mathematics, the no-wandering-domain theorem is a result on dynamical systems, proven by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ → Ĉ with deg(f) ≥ 2 does not have a wandering domain, where Ĉ denotes the Riemann sphere. More precisely, for every component U in the Fatou set of f, the...
https://en.wikipedia.org/wiki/Power%20transform
In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation technique used to stabilize variance, make the data more normal distribution-like, improve the validity of measures of association (such as the Pearson correl...