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https://en.wikipedia.org/wiki/Blancmange%20curve | In mathematics, the blancmange curve is a self-affine curve constructible by midpoint subdivision. It is also known as the Takagi curve, after Teiji Takagi who described it in 1901, or as the Takagi–Landsberg curve, a generalization of the curve named after Takagi and Georg Landsberg. The name blancmange comes from it... |
https://en.wikipedia.org/wiki/Roefie%20Hueting | Roelof (Roefie) Hueting (16 December 1929 – 24 June 2023) was a Dutch economist, former Head of the Department for Environmental Statistics of Statistics Netherlands, pianist and leader of the Down Town Jazz Band, and known for the development of the concept of Sustainable National Income (SNI).
Biography
Hueting was... |
https://en.wikipedia.org/wiki/Group%20with%20operators | In abstract algebra, a branch of mathematics, the algebraic structure group with operators or Ω-group can be viewed as a group with a set Ω that operates on the elements of the group in a special way.
Groups with operators were extensively studied by Emmy Noether and her school in the 1920s. She employed the concept i... |
https://en.wikipedia.org/wiki/Total%20ring%20of%20fractions | In abstract algebra, the total quotient ring or total ring of fractions is a construction that generalizes the notion of the field of fractions of an integral domain to commutative rings R that may have zero divisors. The construction embeds R in a larger ring, giving every non-zero-divisor of R an inverse in the large... |
https://en.wikipedia.org/wiki/Milliken%E2%80%93Taylor%20theorem | In mathematics, the Milliken–Taylor theorem in combinatorics is a generalization of both Ramsey's theorem and Hindman's theorem. It is named after Keith Milliken and Alan D. Taylor.
Let denote the set of finite subsets of , and define a partial order on by α<β if and only if max α<min β. Given a sequence of integers... |
https://en.wikipedia.org/wiki/Schwartz%20space | In mathematics, Schwartz space is the function space of all functions whose derivatives are rapidly decreasing. This space has the important property that the Fourier transform is an automorphism on this space. This property enables one, by duality, to define the Fourier transform for elements in the dual space of ,... |
https://en.wikipedia.org/wiki/Noncoherent%20STC | Non-coherent space time codes are a way of transmitting data in wireless communications.
In this multiple antenna scheme, it is assumed that the receiver only has knowledge of the statistics of channel.
Non-coherent space-time transmission schemes were proposed by Tom Marzetta and Bertrand Hochwald in 1999, but these ... |
https://en.wikipedia.org/wiki/Vertex%20pipeline | The function of the vertex pipeline in any GPU is to take geometry data (usually supplied as vector points), work with it if needed with either fixed function processes (earlier DirectX), or a vertex shader program (later DirectX), and create all of the 3D data points in a scene to a 2D plane for display on a computer ... |
https://en.wikipedia.org/wiki/166%20%28number%29 | 166 (one hundred [and] sixty-six) is the natural number following 165 and preceding 167.
In mathematics
166 is an even number and a composite number. It is a centered triangular number.
Given 166, the Mertens function returns 0. 166 is a Smith number in base 10.
In astronomy
166 Rhodope is a dark main belt asteroid... |
https://en.wikipedia.org/wiki/Correlation%20immunity | In mathematics, the correlation immunity of a Boolean function is a measure of the degree to which its outputs are uncorrelated with some subset of its inputs. Specifically, a Boolean function is said to be correlation-immune of order m if every subset of m or fewer variables in is statistically independent of the val... |
https://en.wikipedia.org/wiki/Chow%20group | In algebraic geometry, the Chow groups (named after Wei-Liang Chow by ) of an algebraic variety over any field are algebro-geometric analogs of the homology of a topological space. The elements of the Chow group are formed out of subvarieties (so-called algebraic cycles) in a similar way to how simplicial or cellular h... |
https://en.wikipedia.org/wiki/Inventiones%20Mathematicae | Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current (2023) managing editors are Jean-Benoît Bost (University of Paris-Sud) and Wilhelm Schlag (Yal... |
https://en.wikipedia.org/wiki/MicroWorlds | MicroWorlds is a program that uses the Logo programming language to teach language, mathematics, programming, and robotics concepts in primary and secondary education. It features an object in the shape of a turtle that can be given commands to move around the screen drawing shapes, creating animations, and playing ga... |
https://en.wikipedia.org/wiki/Replicate | Replicate may refer to:
Replicate (biology), the exact copy resulting from self-replication of genetic material, a cell, or an organism
Replicate (statistics), a fully repeated experiment or set of test conditions.
See also
Replication (disambiguation) |
https://en.wikipedia.org/wiki/Algebraic%20expression | In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, is an algebraic expression. Since taking the square root... |
https://en.wikipedia.org/wiki/Poisson%20ring | In mathematics, a Poisson ring is a commutative ring on which an anticommutative and distributive binary operation satisfying the Jacobi identity and the product rule is defined. Such an operation is then known as the Poisson bracket of the Poisson ring.
Many important operations and results of symplectic geometry an... |
https://en.wikipedia.org/wiki/Biconjugate%20gradient%20method | In mathematics, more specifically in numerical linear algebra, the biconjugate gradient method is an algorithm to solve systems of linear equations
Unlike the conjugate gradient method, this algorithm does not require the matrix to be self-adjoint, but instead one needs to perform multiplications by the conjugate tra... |
https://en.wikipedia.org/wiki/Lie%20bialgebra | In mathematics, a Lie bialgebra is the Lie-theoretic case of a bialgebra: it is a set with a Lie algebra and a Lie coalgebra structure which are compatible.
It is a bialgebra where the multiplication is skew-symmetric and satisfies a dual Jacobi identity, so that the dual vector space is a Lie algebra, whereas the co... |
https://en.wikipedia.org/wiki/Lefschetz%20manifold | In mathematics, a Lefschetz manifold is a particular kind of symplectic manifold , sharing a certain cohomological property with Kähler manifolds, that of satisfying the conclusion of the Hard Lefschetz theorem. More precisely, the strong Lefschetz property asks that for , the cup product
be an isomorphism.
The top... |
https://en.wikipedia.org/wiki/Solvmanifold | In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group. It may also be characterized as a quotient of a connected solvable Lie group by a closed subgroup. (Some authors also require that the Lie group be simply-connected, or that the quotient be compact.)
A special class of solvmanifold... |
https://en.wikipedia.org/wiki/Richard%20Jeffrey | Richard Carl Jeffrey (August 5, 1926 – November 9, 2002) was an American philosopher, logician, and probability theorist. He is best known for developing and championing the philosophy of radical probabilism and the associated heuristic of probability kinematics, also known as Jeffrey conditioning.
Life and career
Bor... |
https://en.wikipedia.org/wiki/COGO | COGO is a suite of programs used in civil engineering for modelling horizontal and vertical alignments and solving coordinate geometry problems. Cogo alignments are used as controls for the geometric design of roads, railways, and stream relocations or restorations.
COGO was originally a subsystem of MIT's Integrated ... |
https://en.wikipedia.org/wiki/Infinite%20dihedral%20group | In mathematics, the infinite dihedral group Dih∞ is an infinite group with properties analogous to those of the finite dihedral groups.
In two-dimensional geometry, the infinite dihedral group represents the frieze group symmetry, p1m1, seen as an infinite set of parallel reflections along an axis.
Definition
Every d... |
https://en.wikipedia.org/wiki/Twisted%20K-theory | In mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory.
More specifically, twisted K-theory with twist H is a particular variant of K-theory, in which the twist ... |
https://en.wikipedia.org/wiki/Raymond%20Louis%20Wilder | Raymond Louis Wilder (3 November 1896 in Palmer, Massachusetts – 7 July 1982 in Santa Barbara, California) was an American mathematician, who specialized in topology and gradually acquired philosophical and anthropological interests.
Life
Wilder's father was a printer. Raymond was musically inclined. He played cornet ... |
https://en.wikipedia.org/wiki/Hyperflex | Hyperflex may refer to:
Flexion, in anatomy
Inflection point of a curve where the tangent meets to order at least 4, in mathematics |
https://en.wikipedia.org/wiki/Denmark%20national%20football%20team%20records%20and%20statistics | The Denmark national football team statistics show the accomplishments of the players and coaches of the Danish men's ever since the controlling organ of the team, the Danish Football Association (DBU), started registering official games at the 1908 Summer Olympics.
Key
Most appearances
The 25 most capped players fo... |
https://en.wikipedia.org/wiki/Reciprocal%20rule | In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents. Also, one can readily deduce the quotient rule from... |
https://en.wikipedia.org/wiki/Singular%20measure | In mathematics, two positive (or signed or complex) measures and defined on a measurable space are called singular if there exist two disjoint measurable sets whose union is such that is zero on all measurable subsets of while is zero on all measurable subsets of This is denoted by
A refined form of Lebesgue... |
https://en.wikipedia.org/wiki/Howard%20Eves | Howard Whitley Eves (10 January 1911, New Jersey – 6 June 2004) was an American mathematician, known for his work in geometry and the history of mathematics.
Eves received his B.S. from the University of Virginia, an M.A. from Harvard University, and a Ph.D. in mathematics from Oregon State University in 1948, the las... |
https://en.wikipedia.org/wiki/David%20Schweickart | David Schweickart (born 1942) is an American mathematician and philosopher. He holds a BS in Mathematics from the University of Dayton, a PhD in Mathematics from the University of Virginia, and a PhD in Philosophy from Ohio State University. He currently is Professor of Philosophy at Loyola University Chicago.
He has ... |
https://en.wikipedia.org/wiki/Neighbourhood%20%28disambiguation%29 | A neighbourhood (also spelled neighborhood) is a geographically localised community within a larger city, town, suburb or rural area.
Neighbo(u)rhood(s) may also refer to:
Mathematics
Neighbourhood (mathematics), a concept in topology
Neighbourhood (graph theory), a grouping in graph theory
the Moore neighborhood and... |
https://en.wikipedia.org/wiki/Robert%20Moody | Robert Vaughan Moody, (; born November 28, 1941) is a Canadian mathematician. He is the co-discover of Kac–Moody algebra, a Lie algebra, usually infinite-dimensional, that can be defined through a generalized root system.
"Almost simultaneously in 1967, Victor Kac in the USSR and Robert Moody in Canada developed what... |
https://en.wikipedia.org/wiki/Born%20rule | The Born rule (also called Born's rule) is a postulate of quantum mechanics which gives the probability that a measurement of a quantum system will yield a given result. In its simplest form, it states that the probability density of finding a system in a given state, when measured, is proportional to the square of the... |
https://en.wikipedia.org/wiki/Round%20function | In topology and in calculus, a round function is a scalar function ,
over a manifold , whose critical points form one or several connected components, each homeomorphic to the circle
, also called critical loops. They are special cases of Morse-Bott functions.
For instance
For example, let be the torus. Let
Then... |
https://en.wikipedia.org/wiki/Geometry%20instancing | In real-time computer graphics, geometry instancing is the practice of rendering multiple copies of the same mesh in a scene at once. This technique is primarily used for objects such as trees, grass, or buildings which can be represented as repeated geometry without appearing unduly repetitive, but may also be used fo... |
https://en.wikipedia.org/wiki/%CE%A3-finite%20measure | In mathematics, a positive (or signed) measure μ defined on a σ-algebra Σ of subsets of a set X is called a finite measure if μ(X) is a finite real number (rather than ∞). A set A in Σ is of finite measure if μ(A) < ∞. The measure μ is called σ-finite if X is a countable union of measurable sets each with finite measur... |
https://en.wikipedia.org/wiki/Finite%20measure | In measure theory, a branch of mathematics, a finite measure or totally finite measure is a special measure that always takes on finite values. Among finite measures are probability measures. The finite measures are often easier to handle than more general measures and show a variety of different properties depending o... |
https://en.wikipedia.org/wiki/Lebesgue%27s%20decomposition%20theorem | In mathematics, more precisely in measure theory, Lebesgue's decomposition theorem states that for every two σ-finite signed measures and on a measurable space there exist two σ-finite signed measures and such that:
(that is, is absolutely continuous with respect to )
(that is, and are singular).
These... |
https://en.wikipedia.org/wiki/Milliken%27s%20tree%20theorem | In mathematics, Milliken's tree theorem in combinatorics is a partition theorem generalizing Ramsey's theorem to infinite trees, objects with more structure than sets.
Let T be a finitely splitting rooted tree of height ω, n a positive integer, and the collection of all strongly embedded subtrees of T of height n. In... |
https://en.wikipedia.org/wiki/Peter%20Mosses | Peter David Mosses (born 1948) is a British computer scientist.
Peter Mosses studied mathematics as an undergraduate at Trinity College, Oxford, and went on to undertake a DPhil supervised by Christopher Strachey in the Programming Research Group while at Wolfson College, Oxford in the early 1970s. He was the last stu... |
https://en.wikipedia.org/wiki/Martingale | Martingale may refer to:
Martingale (probability theory), a stochastic process in which the conditional expectation of the next value, given the current and preceding values, is the current value
Martingale (tack) for horses
Martingale (collar) for dogs and other animals
Martingale (betting system), in 18th century Fr... |
https://en.wikipedia.org/wiki/University%20of%20Waterloo%20Faculty%20of%20Mathematics | The Faculty of Mathematics is one of six faculties of the University of Waterloo in Waterloo, Ontario, offering more than 500 courses in mathematics, statistics and computer science. The faculty also houses the David R. Cheriton School of Computer Science, formerly the faculty's computer science department. There are m... |
https://en.wikipedia.org/wiki/Geometry%20Center | The Geometry Center was a mathematics research and education center at the University of Minnesota. It was established by the National Science Foundation in the late 1980s and closed in 1998. The focus of the center's work was the use of computer graphics and visualization for research and education in pure mathematics... |
https://en.wikipedia.org/wiki/Kulkarni%E2%80%93Nomizu%20product | In the mathematical field of differential geometry, the Kulkarni–Nomizu product (named for Ravindra Shripad Kulkarni and Katsumi Nomizu) is defined for two -tensors and gives as a result a -tensor.
Definition
If h and k are symmetric -tensors, then the product is defined via:
where the Xj are tangent vectors and is ... |
https://en.wikipedia.org/wiki/Arne%20Skaug | Arne Skaug (6 November 1906 – 4 March 1974) was a Norwegian economist, civil servant, diplomat and politician for the Labour Party. He is known as director of Statistics Norway from 1946 to 1948, Norwegian Minister of Trade and Shipping from 1955 to 1962 and later ambassador.
Early life and career
He was born in Horte... |
https://en.wikipedia.org/wiki/Joseph%20Mundy | Joseph Mundy did early work in computer vision and projective geometry using LISP, when computer vision still was a new area of research. In 1987 he presented his work in a video, which now is available for free at archive.org.
Here is an extract of the interview, which took place in the end of the video.
"What do st... |
https://en.wikipedia.org/wiki/Benedict%20Gross | Benedict Hyman Gross is an American mathematician who is a professor at the University of California San Diego, the George Vasmer Leverett Professor of Mathematics Emeritus at Harvard University, and former Dean of Harvard College.
He is known for his work in number theory, particularly the Gross–Zagier theorem on L-f... |
https://en.wikipedia.org/wiki/Dodgem | Dodgem is a simple abstract strategy game invented by Colin Vout in 1972 while he was a mathematics student at the University of Cambridge as described in the book Winning Ways. It is played on an n×n board with n-1 cars for each player—two cars each on a 3×3 board is enough for an interesting game, but larger sizes a... |
https://en.wikipedia.org/wiki/Generalized%20minimal%20residual%20method | In mathematics, the generalized minimal residual method (GMRES) is an iterative method for the numerical solution of an indefinite nonsymmetric system of linear equations. The method approximates the solution by the vector in a Krylov subspace with minimal residual. The Arnoldi iteration is used to find this vector.
T... |
https://en.wikipedia.org/wiki/Lowell%20Schoenfeld | Lowell Schoenfeld (April 1, 1920 – February 6, 2002) was an American mathematician known for his work in analytic number theory.
Career
Schoenfeld received his Ph.D. in 1944 from University of Pennsylvania under the direction of Hans Rademacher.
In 1953, as an assistant professor at the University of Illinois Urbana-... |
https://en.wikipedia.org/wiki/Torsion%20tensor | In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet–Serret formulas, for instance, quantifies the twist of a curve about its tangent vector as the curve evolves (or rather the rotation of th... |
https://en.wikipedia.org/wiki/Surface%20%28mathematics%29 | In mathematics, a surface is a mathematical model of the common concept of a surface. It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line.
There are several more precise definitions, depending on the context and the mathematical tools tha... |
https://en.wikipedia.org/wiki/De%20Finetti | de Finetti usually refers to the Italian statistician Bruno de Finetti, noted for the "operational subjective" conception of probability. His works include:
de Finetti's theorem, which explains why exchangeable observations are conditionally independent given some (usually) unobservable quantity
de Finetti diagram, ... |
https://en.wikipedia.org/wiki/ITest | The iTest (formerly known as the American High School Internet Mathematics Competition (AHSIMC)), was founded in 2004 by Bradley Metrock and takes place each September, offering students from across the country to compete against the best and brightest high school students in a highly competitive environment.
Guidelin... |
https://en.wikipedia.org/wiki/Peter%20Phillips%20%28economist%29 | Peter Charles Bonest Phillips (born 23 March 1948) is an econometrician. Since 1979 he has been Professor of Economics and Statistics at Yale University. He also holds positions at the University of Auckland, Singapore Management University and the University of Southampton. He is currently the co-director of Center fo... |
https://en.wikipedia.org/wiki/Werner%20Ploberger | Werner Ploberger (born 5 August 1956 in Vienna) is an Austrian economist. He graduated in mathematics from the Vienna University of Technology. Beginning in 1997, he was a professor of economics at the University of Rochester. Effective July 1, 2006, he is professor of economics at Washington University in St. Louis. H... |
https://en.wikipedia.org/wiki/171%20%28number%29 | 171 (one hundred [and] seventy-one) is the natural number following 170 and preceding 172.
In mathematics
171 is a triangular number and a Jacobsthal number.
There are 171 transitive relations on three labeled elements, and 171 combinatorially distinct ways of subdividing a cuboid by flat cuts into a mesh of tetrahed... |
https://en.wikipedia.org/wiki/174%20%28number%29 | 174 (one hundred [and] seventy-four) is the natural number following 173 and preceding 175.
In mathematics
There are 174 7-crossing semi-meanders, ways of arranging a semi-infinite curve in the plane so that it crosses a straight line seven times. There are 174 invertible (0,1)-matrices. There are also 174 combinator... |
https://en.wikipedia.org/wiki/Alternation%20%28geometry%29 | In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
Coxeter labels an alternation by a prefixed h, standing for hemi or half. Because alternation reduces all polygon faces to half as many sides, it can only... |
https://en.wikipedia.org/wiki/Loop%20theorem | In mathematics, in the topology of 3-manifolds, the loop theorem is a generalization of Dehn's lemma. The loop theorem was first proven by Christos Papakyriakopoulos in 1956, along with Dehn's lemma and the Sphere theorem.
A simple and useful version of the loop theorem states that if for some 3-dimensional manifold ... |
https://en.wikipedia.org/wiki/Conjugate%20index | In mathematics, two real numbers are called conjugate indices (or Hölder conjugates) if
Formally, we also define as conjugate to and vice versa.
Conjugate indices are used in Hölder's inequality, as well as Young's inequality for products; the latter can be used to prove the former. If are conjugate indic... |
https://en.wikipedia.org/wiki/QQ%20%28disambiguation%29 | QQ refers to Tencent QQ, a Chinese instant messaging program.
QQ may also refer to:
Q–Q plot, a plot to compare distributions in statistics
Chery QQ, two compact Chinese cars models
Alliance Airlines (IATA code QQ)
Qinetiq (LSE stock symbol QQ)
Reno Air, formerly IATA code QQ
Q. texture, an originally Taiwanese... |
https://en.wikipedia.org/wiki/List%20of%20FC%20Bayern%20Munich%20records%20and%20statistics | This list has details on FC Bayern Munich records and statistics.
Coaches
Until 1963
Information on the club's coaches before the Bundesliga era is hard to come by. The information as given in the following table is from the club's website.
Since 1963
In contrast to the pre-Bundesliga era, a list of coaches since th... |
https://en.wikipedia.org/wiki/Fredholm%20theory | In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm operators and Fredholm kern... |
https://en.wikipedia.org/wiki/Otto%20Schreier | Otto Schreier (3 March 1901 in Vienna, Austria – 2 June 1929 in Hamburg, Germany) was a Jewish-Austrian mathematician who made major contributions in combinatorial group theory and in the topology of Lie groups.
Life
His parents were the architect Theodor Schreier (1873-1943) and his wife Anna (b. Turnau) (1878-1942).... |
https://en.wikipedia.org/wiki/176%20%28number%29 | 176 (one hundred [and] seventy-six) is the natural number following 175 and preceding 177.
In mathematics
176 is an even number and an abundant number. It is an odious number, a self number, a semiperfect number, and a practical number.
176 is a cake number, a happy number, a pentagonal number, and an octagonal numbe... |
https://en.wikipedia.org/wiki/Alfred%20Menezes | Alfred Menezes is co-author of several books on cryptography, including the Handbook of Applied Cryptography, and is a professor of mathematics at the University of Waterloo in Canada.
Education
Alfred Menezes' family is from Goa, a state in western India, but he was born in Tanzania and grew up in Kuwait except for ... |
https://en.wikipedia.org/wiki/177%20%28number%29 | 177 (one hundred [and] seventy-seven) is the natural number following 176 and preceding 178.
In mathematics
It is a Leyland number since .
It is a 60-gonal number, and an arithmetic number, since the mean of its divisors (1, 3, 59 and 177) is equal to 60, an integer.
177 is a Leonardo number, part of a sequence of ... |
https://en.wikipedia.org/wiki/Minkowski%20geometry | Minkowski geometry may refer to:
The geometry of a finite-dimensional normed space
The geometry of Minkowski space |
https://en.wikipedia.org/wiki/Fat-tailed%20distribution | A fat-tailed distribution is a probability distribution that exhibits a large skewness or kurtosis, relative to that of either a normal distribution or an exponential distribution. In common usage, the terms fat-tailed and heavy-tailed are sometimes synonymous; fat-tailed is sometimes also defined as a subset of heavy-... |
https://en.wikipedia.org/wiki/Halpern%E2%80%93L%C3%A4uchli%20theorem | In mathematics, the Halpern–Läuchli theorem is a partition result about finite products of infinite trees. Its original purpose was to give a model for set theory in which the Boolean prime ideal theorem is true but the axiom of choice is false. It is often called the Halpern–Läuchli theorem, but the proper attribution... |
https://en.wikipedia.org/wiki/65%2C535 | 65535 is the integer after 65534 and before 65536.
It is the maximum value of an unsigned 16-bit integer.
In mathematics
65535 is the sum of 20 through 215 (20 + 21 + 22 + ... + 215) and is therefore a repdigit in base 2 (1111111111111111), in base 4 (33333333), and in base 16 (FFFF).
It is the ninth number whose ... |
https://en.wikipedia.org/wiki/178%20%28number%29 | 178 (one hundred [and] seventy-eight) is the natural number following 177 and preceding 179.
In mathematics
There are 178 biconnected graphs with six vertices, among which one is designated as the root and the rest are unlabeled. There are also 178 median graphs on nine vertices.
178 is one of the indexes of the sma... |
https://en.wikipedia.org/wiki/Dehn%27s%20lemma | In mathematics, Dehn's lemma asserts that a piecewise-linear map of a disk into a 3-manifold, with the map's singularity set in the disk's interior, implies the existence of another piecewise-linear map of the disk which is an embedding and is identical to the original on the boundary of the disk.
This theorem was tho... |
https://en.wikipedia.org/wiki/Wiener%E2%80%93Hopf%20method | The Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method to solve systems of integral equations, but has found wider use in solving two-dimensional partial differential equations with mixed boundary conditions on th... |
https://en.wikipedia.org/wiki/List%20of%20cities%20in%20Australia%20by%20population | These lists of Australian cities by population provide rankings of Australian cities and towns according to various systems defined by the Australian Bureau of Statistics.
The eight Greater Capital City Statistical Areas are listed for the state and territory capital cities. All Significant Urban Areas (SUA), represen... |
https://en.wikipedia.org/wiki/Relation%20algebra | In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation. The motivating example of a relation algebra is the algebra 2 X 2 of all binary relations on a set X, that is, subsets of the cartesian square X2, with R•S inter... |
https://en.wikipedia.org/wiki/Gap%20theorem%20%28disambiguation%29 | In mathematics, gap theorem may refer to:
The Weierstrass gap theorem in algebraic geometry
The Ostrowski–Hadamard gap theorem on lacunary functions
The Fabry gap theorem on lacunary functions
The gap theorem of Fourier analysis, a statement about the vanishing of discrete Fourier coefficients for functions that a... |
https://en.wikipedia.org/wiki/Singmaster%27s%20conjecture | Singmaster's conjecture is a conjecture in combinatorial number theory, named after the British mathematician David Singmaster who proposed it in 1971. It says that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times). It is ... |
https://en.wikipedia.org/wiki/Sphere%20theorem%20%283-manifolds%29 | In mathematics, in the topology of 3-manifolds, the sphere theorem of gives conditions for elements of the second homotopy group of a 3-manifold to be represented by embedded spheres.
One example is the following:
Let be an orientable 3-manifold such that is not the trivial group. Then there exists a non-zero ele... |
https://en.wikipedia.org/wiki/John%20R.%20Taylor | John Robert Taylor is British-born emeritus professor of physics at the University of Colorado, Boulder.
He received his B.A. in mathematics at Cambridge University, and his Ph.D. from the University of California, Berkeley in 1963 with thesis advisor Geoffrey Chew. Taylor has written several college-level physics te... |
https://en.wikipedia.org/wiki/Masaki%20Kashiwara | is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module theory, Hodge theory, sheaf theory and representation theory.
Kashiwara and Sato established the foundations of the theory of systems of... |
https://en.wikipedia.org/wiki/Large%20countable%20ordinal | In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non-circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of relevance to proof theory still have computable ordinal notations (see ordinal ... |
https://en.wikipedia.org/wiki/Julian%20Coolidge | Julian Lowell Coolidge (September 28, 1873 – March 5, 1954) was an American mathematician, historian, a professor and chairman of the Harvard University Mathematics Department.
Biography
Born in Brookline, Massachusetts, he graduated from Harvard University and Oxford University.
Between 1897 and 1899, Julian Coolidg... |
https://en.wikipedia.org/wiki/Capacity | Capacity or capacities may
refer to:
Mathematics, science, and engineering
Capacity of a container, closely related to the volume of the container
Capacity of a set, in Euclidean space, the total charge a set can hold while maintaining a given potential energy
Capacity factor, the ratio of the actual output of a p... |
https://en.wikipedia.org/wiki/Degree%20of%20a%20field%20extension | In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the "size" of the field extension. The concept plays an important role in many parts of mathematics, including algebra and number theory — indeed in any area where fields appear prominently.
Definition and notation
... |
https://en.wikipedia.org/wiki/Hiraku%20Nakajima | Hiraku Nakajima (Japanese: 中島 啓 Nakajima Hiraku; born November 30, 1962) is a Japanese mathematician, and a professor of the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo. He is International Mathematical Union president for the 2023–2026 term.
He obtained his Ph.D. from t... |
https://en.wikipedia.org/wiki/Robert%20S.%20Boyer | Robert Stephen Boyer is an American retired professor of computer science, mathematics, and philosophy at The University of Texas at Austin. He and J Strother Moore invented the Boyer–Moore string-search algorithm, a particularly efficient string searching algorithm, in 1977. He and Moore also collaborated on the Boy... |
https://en.wikipedia.org/wiki/Karen%20Uhlenbeck | Karen Keskulla Uhlenbeck ForMemRS (born August 24, 1942) is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished vis... |
https://en.wikipedia.org/wiki/Factorial%20moment%20generating%20function | In probability theory and statistics, the factorial moment generating function (FMGF) of the probability distribution of a real-valued random variable X is defined as
for all complex numbers t for which this expected value exists. This is the case at least for all t on the unit circle , see characteristic function. I... |
https://en.wikipedia.org/wiki/Doob%20martingale | In the mathematical theory of probability, a Doob martingale (named after Joseph L. Doob, also known as a Levy martingale) is a stochastic process that approximates a given random variable and has the martingale property with respect to the given filtration. It may be thought of as the evolving sequence of best approxi... |
https://en.wikipedia.org/wiki/List%20of%20New%20Zealand%20urban%20areas%20by%20population | This article lists urban areas of New Zealand—as defined by Statistics New Zealand—ranked by population. Only the 150 largest urban areas are listed.
Urban areas are defined by the Statistical Standard for Geographic Areas 2018 (SSGA18).
See also
List of cities in New Zealand
List of towns in New Zealand
Reference... |
https://en.wikipedia.org/wiki/Kapiti%20Urban%20Area | The Kapiti Urban Area is a statistical area that was defined by Statistics New Zealand to cover a group of urban settlements of the Kāpiti Coast District, in the Wellington Region. It was classified as a main urban area under the New Zealand Standard Areas Classification 1992 because its population exceeded 30,000.
Th... |
https://en.wikipedia.org/wiki/Population%20census%20in%20Hong%20Kong | Population censuses / by-censuses in Hong Kong are conducted by the Census and Statistics Department (C&SD) of the Hong Kong SAR Government. The aim is to provide up-to-date benchmark statistics on the demographic and socio-economic characteristics of the population and on its geographical distribution. Since 1961, a ... |
https://en.wikipedia.org/wiki/FCT | FCT may refer to:
Mathematics
Flux-corrected transport
Fast cosine transform
International Symposium on Fundamentals of Computation Theory
Places
Australian Capital Territory, formerly the Federal Capital Territory
Claremont railway station, Perth, in Western Australia
Federal Capital Territory (Nigeria)
Fede... |
https://en.wikipedia.org/wiki/SO%285%29 | In mathematics, SO(5), also denoted SO5(R) or SO(5,R), is the special orthogonal group of degree 5 over the field R of real numbers, i.e. (isomorphic to) the group of orthogonal 5×5 matrices of determinant 1.
Geometric interpretation
SO(5) is a subgroup of the direct Euclidean group E+(5), the group of direct isometr... |
https://en.wikipedia.org/wiki/Projective%20unitary%20group | In mathematics, the projective unitary group is the quotient of the unitary group by the right multiplication of its center, , embedded as scalars.
Abstractly, it is the holomorphic isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space.
In ... |
https://en.wikipedia.org/wiki/Labour%20Statistics%20Convention%2C%201985 | Labour Statistics Convention, 1985 is an International Labour Organization Convention.
It was established in 1985, with the preamble stating:
Ratifications
As of 2023, the convention had been ratified by 51 states.
External links
Text.
Ratifications.
International Labour Organization conventions
Statistical data... |
https://en.wikipedia.org/wiki/Profunctor | In category theory, a branch of mathematics, profunctors are a generalization of relations and also of bimodules.
Definition
A profunctor (also named distributor by the French school and module by the Sydney school) from a category to a category , written
,
is defined to be a functor
where denotes the opposite... |
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