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https://en.wikipedia.org/wiki/Exceptional%20object | Many branches of mathematics study objects of a given type and prove a classification theorem. A common theme is that the classification results in a number of series of objects and a finite number of exceptions — often with desirable properties — that do not fit into any series. These are known as exceptional objects.... |
https://en.wikipedia.org/wiki/Deane%20Montgomery | Deane Montgomery (September 2, 1909 – March 15, 1992) was an American mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as president of the American Mathematical Society from 1961 to 1962.
Born in the small town of Weaver,... |
https://en.wikipedia.org/wiki/Meinhard%20E.%20Mayer | Meinhard Edwin Mayer (March 18, 1929 – December 11, 2011) was a Romanian–born American Professor Emeritus of Physics and Mathematics at the University of California, Irvine, which he joined in 1966.
Biography
He was born on March 18, 1929, in Cernăuți. He experienced both the Soviet occupation of Northern Bukovina and... |
https://en.wikipedia.org/wiki/Pan%20Chengdong | Pan Chengdong (; 26 May 1934 – 27 December 1997) was a Chinese mathematician who made numerous contributions to number theory, including progress on Goldbach's conjecture. He was vice president of Shandong University and took the role of president from 1986 to 1997.
Born in Suzhou, Jiangsu Province on 26 May 1934, he ... |
https://en.wikipedia.org/wiki/Fulton%E2%80%93Hansen%20connectedness%20theorem | In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1. It is named after William Fulton and Johan Hansen, who pro... |
https://en.wikipedia.org/wiki/Victor%20Buchstaber | Victor Matveevich Buchstaber (, born 1 April 1943, Tashkent, Soviet Union) is a Soviet and Russian mathematician known for his work on algebraic topology, homotopy theory, and mathematical physics.
Work
Buchstaber's first research work was in cobordism theory. He calculated the differential in the Atiyah-Hirzebruch sp... |
https://en.wikipedia.org/wiki/University%20of%20Ulm | Ulm University () is a public university in Ulm, Baden-Württemberg, Germany. The University was founded in 1967 and focuses on natural sciences, medicine, engineering sciences, mathematics, economics and computer science. With 9,891 students (summer semester 2018), it is one of the youngest public universities in Germa... |
https://en.wikipedia.org/wiki/Koszul%E2%80%93Tate%20resolution | In mathematics, a Koszul–Tate resolution or Koszul–Tate complex of the quotient ring R/M is a projective resolution of it as an R-module which also has a structure of a dg-algebra over R, where R is a commutative ring and M ⊂ R is an ideal. They were introduced by as a generalization of the Koszul resolution for the q... |
https://en.wikipedia.org/wiki/Elkies%20trinomial%20curves | In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups.
One curve, C168, gives Galois group PSL(2,7) from a polynomial of de... |
https://en.wikipedia.org/wiki/NSMB | NSMB may refer to:
NSMB (mathematics), a Navier-Stokes finite volume solver
Nature Structural & Molecular Biology, an academic journal
New Super Mario Bros. (series), a series of 2D platform games by Nintendo consisting of new revivals of classic Mario platformers
New Super Mario Bros., the first game in the series, ... |
https://en.wikipedia.org/wiki/S2S | In mathematics, S2S is the monadic second order theory of the infinite complete binary tree.
S2S may also refer to:
Server-to-server, protocol exchange between servers
Site-to-site VPN
S2S Pte Ltd, a Japanese record label
Ski to Sea Race, a race in Whatcom County, Washington
Sister2Sister, Christine and Sharon ... |
https://en.wikipedia.org/wiki/Dowling%20geometry | In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines the group. Dowling geometries have a role in matroid theory as universal obj... |
https://en.wikipedia.org/wiki/Halpin%E2%80%93Tsai%20model | Halpin–Tsai model is a mathematical model for the prediction of elasticity of composite material based on the geometry and orientation of the filler and the elastic properties of the filler and matrix. The model is based on the self-consistent field method although often consider to be empirical.
See also
Cadec-onli... |
https://en.wikipedia.org/wiki/Daniel%20Kleitman | Daniel J. Kleitman (born October 4, 1934) is an American mathematician and professor of applied mathematics at MIT. His research interests include combinatorics, graph theory, genomics, and operations research.
Biography
Kleitman was born in 1934 in Brooklyn, New York, the younger of Bertha and Milton Kleitman's two ... |
https://en.wikipedia.org/wiki/Spiric%20section | In geometry, a spiric section, sometimes called a spiric of Perseus, is a quartic plane curve defined by equations of the form
Equivalently, spiric sections can be defined as bicircular quartic curves that are symmetric with respect to the x and y-axes. Spiric sections are included in the family of toric sections and ... |
https://en.wikipedia.org/wiki/WKB%20%28disambiguation%29 | The WKB approximation is a method for solving equations in applied mathematics.
WKB may also refer to:
Warracknabeal Airport (IATA: WKB), in Warracknabeal, Victoria, Australia
Well-known binary, a language for marking up vector geometry objects on a map
See also |
https://en.wikipedia.org/wiki/Defective%20matrix | In linear algebra, a defective matrix is a square matrix that does not have a complete basis of eigenvectors, and is therefore not diagonalizable. In particular, an n × n matrix is defective if and only if it does not have n linearly independent eigenvectors. A complete basis is formed by augmenting the eigenvectors ... |
https://en.wikipedia.org/wiki/Chronology%20of%20ancient%20Greek%20mathematicians | This is a chronology of ancient Greek mathematicians.
See also
References
Ancient Greek mathematicians
Greek mathematics
History of geometry
History of mathematics
Mathematics timelines |
https://en.wikipedia.org/wiki/David%20Neft | David S. Neft (born January 9, 1937) is an American writer and historian who creates sports encyclopedias.
Early career
Neft was born in New York City, received a BA, MBA, and PhD (Statistics) from Columbia University, and worked as chief statistician for the polling company Louis Harris & Associates from 1963 to 1965... |
https://en.wikipedia.org/wiki/General%20Achievement%20Test | The General Achievement Test (often abbreviated GAT) is a test of general knowledge and skills including communication, mathematics, science and technology, the arts, humanities and social sciences in the Australian state of Victoria.
Although the GAT is not a part of the graduation requirements and does not count tow... |
https://en.wikipedia.org/wiki/Space%20%28mathematics%29 | In mathematics, a space is a set (sometimes called a universe) with some added structure.
While modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion of "space" itself.
A space consists of selected... |
https://en.wikipedia.org/wiki/Random%20compact%20set | In mathematics, a random compact set is essentially a compact set-valued random variable. Random compact sets are useful in the study of attractors for random dynamical systems.
Definition
Let be a complete separable metric space. Let denote the set of all compact subsets of . The Hausdorff metric on is defined b... |
https://en.wikipedia.org/wiki/Lebesgue%20spine | In mathematics, in the area of potential theory, a Lebesgue spine or Lebesgue thorn is a type of set used for discussing solutions to the Dirichlet problem and related problems of potential theory. The Lebesgue spine was introduced in 1912 by Henri Lebesgue to demonstrate that the Dirichlet problem does not always have... |
https://en.wikipedia.org/wiki/Fano%20surface | In algebraic geometry, a Fano surface is a surface of general type (in particular, not a Fano variety) whose points index the lines on a non-singular cubic threefold. They were first studied by .
Hodge diamond:
Fano surfaces are perhaps the simplest and most studied examples of irregular surfaces of general type that... |
https://en.wikipedia.org/wiki/Municipality%20of%20the%20District%20of%20Yarmouth | Yarmouth, officially named the Municipality of the District of Yarmouth, is a district municipality in Yarmouth County, Nova Scotia, Canada. Statistics Canada classifies the district municipality as a municipal district.
The district municipality forms the western part of Yarmouth County. It is one of three municipal ... |
https://en.wikipedia.org/wiki/The%20Algebra%20of%20Ice | The Algebra of Ice is a BBC Books original novel written by Lloyd Rose and based on the long-running British science fiction television series Doctor Who. It features the Seventh Doctor and Ace.
Synopsis
The Doctor and Ace investigate a 'crop circle' in the Kentish countryside; they are helped by a maths expert, a web... |
https://en.wikipedia.org/wiki/Axiom%20of%20global%20choice | In mathematics, specifically in class theories, the axiom of global choice is a stronger variant of the axiom of choice that applies to proper classes of sets as well as sets of sets. Informally it states that one can simultaneously choose an element from every non-empty set.
Statement
The axiom of global choice sta... |
https://en.wikipedia.org/wiki/Axiom%20of%20limitation%20of%20size | In set theory, the axiom of limitation of size was proposed by John von Neumann in his 1925 axiom system for sets and classes. It formalizes the limitation of size principle, which avoids the paradoxes encountered in earlier formulations of set theory by recognizing that some classes are too big to be sets. Von Neumann... |
https://en.wikipedia.org/wiki/David%20Cain%20%28composer%29 | David Cain was a composer and technician for the BBC Radiophonic Workshop. He was educated at Imperial College London, where he earned a degree in mathematics. In 1963, he joined the BBC as a studio manager, specialising in radio drama. He transferred to the Radiophonic Workshop in 1967 where he composed various jingl... |
https://en.wikipedia.org/wiki/Georg%20Nees | Georg Nees (23 June 1926 – 3 January 2016) was a German academic who was a pioneer of computer art and generative graphics. He studied mathematics, physics and philosophy in Erlangen and Stuttgart and was scientific advisor at the SEMIOSIS, International Journal of semiotics and aesthetics. In 1977, he was appointed Ho... |
https://en.wikipedia.org/wiki/Partition%20topology | In mathematics, the partition topology is a topology that can be induced on any set by partitioning into disjoint subsets these subsets form the basis for the topology. There are two important examples which have their own names:
The is the topology where and Equivalently,
The is defined by letting and
The... |
https://en.wikipedia.org/wiki/Highfields%2C%20Queensland | Highfields is a small town in the Toowoomba Region, Queensland, Australia. In 2022 the Australian Bureau of Statistics estimated the resident population of the Highfields region was 15478.
Geography
Highfields is situated on the Great Dividing Range, slightly north of Mount Kynoch. It is on the New England Highway. I... |
https://en.wikipedia.org/wiki/Particular%20point%20topology | In mathematics, the particular point topology (or included point topology) is a topology where a set is open if it contains a particular point of the topological space. Formally, let X be any non-empty set and p ∈ X. The collection
of subsets of X is the particular point topology on X. There are a variety of cases... |
https://en.wikipedia.org/wiki/E7%C2%BD | {{DISPLAYTITLE:E7½}}
In mathematics, the Lie algebra E7½ is a subalgebra of E8 containing E7 defined by Landsberg and Manivel in order
to fill the "hole" in a dimension formula for the exceptional series En of simple Lie algebras. This hole was observed by Cvitanovic, Deligne, Cohen and de Man. E7½ has dimension 190, ... |
https://en.wikipedia.org/wiki/FSU%20Young%20Scholars%20Program | FSU Young Scholars Program (YSP) is a six-week residential science and mathematics summer program for 40 high school students from Florida, USA, with significant potential for careers in the fields of science, technology, engineering and mathematics. The program was developed in 1983 and is currently administered by t... |
https://en.wikipedia.org/wiki/Gradient%20theorem | The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve. The theorem is a generalization of the second fundamental theorem of calculus to any curv... |
https://en.wikipedia.org/wiki/Daniel%20Kastler | Daniel Kastler (; 4 March 1926 – 4 July 2015) was a French theoretical physicist, working on the foundations of quantum field theory and on non-commutative geometry.
Biography
Daniel Kastler was born on March 4, 1926, in Colmar, a city of north-eastern France. He is the son of the Physics Nobel Prize laureate Alfred ... |
https://en.wikipedia.org/wiki/En%20%28Lie%20algebra%29 | {{DISPLAYTITLE:En (Lie algebra)}}
In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1, 2 and k, with k = n − 4.
In some older books and papers, E2 and E4 are used as names for G2 and F4.
Finite-dimensional Lie algebras
The... |
https://en.wikipedia.org/wiki/Proportional%20hazards%20model | Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multipli... |
https://en.wikipedia.org/wiki/Harish-Chandra%20isomorphism | In mathematics, the Harish-Chandra isomorphism, introduced by ,
is an isomorphism of commutative rings constructed in the theory of Lie algebras. The isomorphism maps the center of the universal enveloping algebra of a reductive Lie algebra to the elements of the symmetric algebra of a Cartan subalgebra that are ... |
https://en.wikipedia.org/wiki/Differential%20variational%20inequality | In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems.
DVIs are useful for representing models involving both dynamics and inequality constraints. Examples of such problems include, f... |
https://en.wikipedia.org/wiki/Layer%20cake%20%28disambiguation%29 | A layer cake is a pastry made from stacked layers of cake held together by filling.
Layer Cake or layer cake may also refer to:
In mathematics, the Layer cake representation is a representation of a function in terms of an integral of 'slices' of the function's area
Layer-cake federalism, is a political arrangement ... |
https://en.wikipedia.org/wiki/Longest%20element%20of%20a%20Coxeter%20group | In mathematics, the longest element of a Coxeter group is the unique element of maximal length in a finite Coxeter group with respect to the chosen generating set consisting of simple reflections. It is often denoted by w0. See and .
Properties
A Coxeter group has a longest element if and only if it is finite; "onl... |
https://en.wikipedia.org/wiki/Donald%20John%20Lewis | Donald John Lewis (25 January 1926 – 25 February 2015), better known as D.J. Lewis, was an American mathematician specializing in number theory.
Lewis received his PhD in 1950 at the University of Michigan under supervision of Richard Dagobert Brauer, and subsequently was an NSF fellow at the Institute for Advanced St... |
https://en.wikipedia.org/wiki/Coxeter%E2%80%93Dynkin%20diagram | In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes). It describes a kaleidoscopic construction: each graph "node" represents a mirror (domain f... |
https://en.wikipedia.org/wiki/Eckart%20Viehweg | Eckart Viehweg (born 30 December 1948 in Zwickau, died 29 January 2010) was a German mathematician. He was a professor of algebraic geometry at the University of Duisburg-Essen.
In 2003 he won the Gottfried Wilhelm Leibniz Prize with his wife, Hélène Esnault.
See also
Kawamata–Viehweg vanishing theorem
References
E... |
https://en.wikipedia.org/wiki/H%C3%A9l%C3%A8ne%20Esnault | Hélène Esnault (born 17 July 1953) is a French and German mathematician, specializing in algebraic geometry.
Biography
Born in Paris, Esnault earned her PhD in 1976 from the University of Paris VII. She wrote her dissertation on Singularites rationnelles et groupes algebriques (Rational singularities and algebraic gro... |
https://en.wikipedia.org/wiki/Leibniz%20formula%20for%20determinants | In algebra, the Leibniz formula, named in honor of Gottfried Leibniz, expresses the determinant of a square matrix in terms of permutations of the matrix elements. If is an matrix, where is the entry in the -th row and -th column of , the formula is
where is the sign function of permutations in the permutation gro... |
https://en.wikipedia.org/wiki/Perron%20number | In mathematics, a Perron number is an algebraic integer α which is real and exceeds 1, but such that its conjugate elements are all less than α in absolute value. For example, the larger of the two roots of the irreducible polynomial is a Perron number.
Perron numbers are named after Oskar Perron; the Perron–Frobeni... |
https://en.wikipedia.org/wiki/Silver%20machine | In set theory, Silver machines are devices used for bypassing the use of fine structure in proofs of statements holding in L. They were invented by set theorist Jack Silver as a means of proving global square holds in the constructible universe.
Preliminaries
An ordinal is *definable from a class of ordinals X if an... |
https://en.wikipedia.org/wiki/Circled%20plus | Circled plus (⊕) or n-ary circled plus (⨁) (in Unicode, , ) may refer to:
Direct sum, an operation from abstract algebra
Dilation (morphology), mathematical morphology
Exclusive or, a logical operation that outputs true only when inputs differ
See also
(original version: )
(such as )
include some circled... |
https://en.wikipedia.org/wiki/Leibniz%20algebra | In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module L over a commutative ring R with a bilinear product [ _ , _ ] satisfying the Leibniz identity
In other words, right multiplication by any element c is a derivation. I... |
https://en.wikipedia.org/wiki/Institute%20of%20Applied%20Physics%20and%20Computational%20Mathematics | The Institute of Applied Physics and Computational Mathematics (IAPCM) was established in 1958 in Beijing in the People's Republic of China. The institution conducts research on nuclear warhead design computations for the Chinese Academy of Engineering Physics (CAEP) in Mianyang, Sichuan and focuses on applied theoreti... |
https://en.wikipedia.org/wiki/Shlomo%20Sternberg | Shlomo Zvi Sternberg (born 1936), is an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory.
Education and career
Sternberg earned his PhD in 1955 from Johns Hopkins University, with a thesis entitled "Some Problems in Discrete Nonlinear Transformations in One and Two... |
https://en.wikipedia.org/wiki/Ryll-Nardzewski%20fixed-point%20theorem | In functional analysis, a branch of mathematics, the Ryll-Nardzewski fixed-point theorem states that if is a normed vector space and is a nonempty convex subset of that is compact under the weak topology, then every group (or equivalently: every semigroup) of affine isometries of has at least one fixed point. (Here... |
https://en.wikipedia.org/wiki/Bangladesh%20Mathematical%20Olympiad | The Bangladesh Mathematical Olympiad is an annual mathematical competition arranged for school and college students to nourish their interest and capabilities for mathematics. It has been regularly organized by the Bangladesh Math Olympiad Committee since 2001. Bangladesh Math Olympiad activities started in 2003 formal... |
https://en.wikipedia.org/wiki/0th | 0th or zeroth may refer to:
Mathematics, science and technology
0th or zeroth, an ordinal for the number 0
0th dimension, a topological space
0th element, of a data structure in computer science
0th law of Thermodynamics
Zeroth (software), deep learning software for mobile devices
Other uses
0th grade, another ... |
https://en.wikipedia.org/wiki/Vadim%20Gerasimov | Vadim Viktorovich Gerasimov (, born 15 June 1969) is an engineer at Google. From 1994 to 2003, Vadim worked and studied at the MIT Media Lab. Vadim earned a BS/MS in applied mathematics from Moscow State University in 1992 and a Ph.D. from MIT in 2003.
At age 16 he was one of the original co-developers of the famous v... |
https://en.wikipedia.org/wiki/Malcev%20algebra | In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that
and satisfies the Malcev identity
They were first defined by Anatoly Maltsev (1955).
Malcev algebras play a role in the theory of Moufang loops that generalizes the rol... |
https://en.wikipedia.org/wiki/2006%20Australian%20Lacrosse%20League%20season | Results and statistics for the Australian Lacrosse League season of 2006.
Game 15
Friday, 20 October 2006, Perth, Western Australia
Goalscorers:
WA: Nathan Rainey 4-1, Adam Sear 4-1, Alex Brown 2-1, Travis Roost 2, Jason Battaglia 1, Adam Delfs 1, Jesse Stack 0-1.
SA: Ryan Gaspari 2-1, Anson Carter 2.
Game 16
Satu... |
https://en.wikipedia.org/wiki/Christopher%20Hooley | Christopher Hooley (7 August 1928 – 13 December 2018) was a British mathematician, professor of mathematics at Cardiff University.
He did his PhD under the supervision of Albert Ingham. He won the Adams Prize of Cambridge University in 1973. He was elected a Fellow of the Royal Society in 1983. He was also a Foundi... |
https://en.wikipedia.org/wiki/Data%20reliability | The term data reliability may refer to:
Reliability (statistics), the overall consistency of a measure
Data integrity, the maintenance of, and the assurance of the accuracy and consistency of, data over its entire life-cycle |
https://en.wikipedia.org/wiki/Complex%20reflection%20group | In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise.
Complex reflection groups arise in the study of the invariant theory of polynomial rings. In the mid-... |
https://en.wikipedia.org/wiki/Engineering%20mathematics | Engineering mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. Along with fields like engineering physics and engineering geology, both of which may belong in the wider category engineering science, engineering mathematics i... |
https://en.wikipedia.org/wiki/Spheroidal%20wave%20equation | In mathematics, the spheroidal wave equation is given by
It is a generalization of the Mathieu differential equation.
If is a solution to this equation and we define , then is a prolate spheroidal wave function in the sense that it satisfies the equation
See also
Wave equation
References
Bibliography
M. Abramow... |
https://en.wikipedia.org/wiki/Kumaraswamy%20%28disambiguation%29 | Kumaraswamy or Kumaraswami is a given name for a male South Indians. It may also refer to:
Kumaraswamy distribution, a distribution form related to probability theory and statistics
Murugan, also called Kumaraswami, most popular Hindu deity amongst Tamils of Tamil Nadu state in India
Kumaraswamy Layout, a residenti... |
https://en.wikipedia.org/wiki/David%20E.%20Orton | David E. Orton (born 1955) is an American engineering executive and the CEO of GEO Semiconductor Inc.
Orton earned a BS in mathematics and economics at Wake Forest University, and a MS in electrical engineering from Duke University. He worked in the graphics and semiconductor industry as an engineer at Bell Laborator... |
https://en.wikipedia.org/wiki/Guido%20Hoheisel | Guido Karl Heinrich Hoheisel (14 July 1894 – 11 October 1968) was a German mathematician and professor of mathematics at the University of Cologne.
Academic life
He did his PhD in 1920 from the University of Berlin under the supervision of Erhard Schmidt.
During World War II Hoheisel was required to teach classes si... |
https://en.wikipedia.org/wiki/Martin%20Huxley | Martin Neil Huxley FLSW (born in 1944) is a British mathematician, working in the field of analytic number theory.
He was awarded a PhD from the University of Cambridge in 1970, the year after his supervisor Harold Davenport had died. He is a professor at Cardiff University.
Huxley proved a result on gaps between pri... |
https://en.wikipedia.org/wiki/Isochoric | Isochoric may refer to:
cell-transitive, in geometry
isochoric process, a constant volume process in chemistry or thermodynamics
Isochoric model |
https://en.wikipedia.org/wiki/Fear%20of%20crime | The fear of crime refers to the fear of being a victim of crime as opposed to the actual probability of being a victim of crime.
The fear of crime, along with fear of the streets and the fear of youth, is said to have been in Western culture for "time immemorial". While fear of crime can be differentiated into public ... |
https://en.wikipedia.org/wiki/Elementary%20amenable%20group | In mathematics, a group is called elementary amenable if it can be built up from finite groups and abelian groups by a sequence of simple operations that result in amenable groups when applied to amenable groups. Since finite groups and abelian groups are amenable, every elementary amenable group is amenable - however... |
https://en.wikipedia.org/wiki/Riemann%20Xi%20function | In mathematics, the Riemann Xi function is a variant of the Riemann zeta function, and is defined so as to have a particularly simple functional equation. The function is named in honour of Bernhard Riemann.
Definition
Riemann's original lower-case "xi"-function, was renamed with an upper-case (Greek letter "Xi") by... |
https://en.wikipedia.org/wiki/Karl%20Prachar | Karl Prachar (; 1924 – November 27, 1994) was an Austrian mathematician who worked in the area of analytic number theory. He is known for his much acclaimed book on the distribution of the prime numbers, Primzahlverteilung (Springer Verlag, 1957).
Prachar received his doctorate in 1947 from the University of Vienna.
... |
https://en.wikipedia.org/wiki/270%20%28number%29 | 270 (two hundred [and] seventy) is the natural number following 269 and preceding 271.
In mathematics
270 is a harmonic divisor number
270 is the fourth number that is divisible by its average integer divisor
References
Integers |
https://en.wikipedia.org/wiki/15%20and%20290%20theorems | In mathematics, the 15 theorem or Conway–Schneeberger Fifteen Theorem, proved by John H. Conway and W. A. Schneeberger in 1993, states that if a positive definite quadratic form with integer matrix represents all positive integers up to 15, then it represents all positive integers. The proof was complicated, and was ne... |
https://en.wikipedia.org/wiki/Australian%20Statistician | The Australian Statistician is the head of the Australian Bureau of Statistics.
On 18 June 1906, the first Statistician of the Commonwealth of Australia was appointed to carry out the provisions of the Census and Statistics Act 1905. Later in the same year the Commonwealth Bureau of Census and Statistics was formed (r... |
https://en.wikipedia.org/wiki/Dennis%20Trewin | Dennis John Trewin (born 14 August 1946) is an Australian former public servant, who was the Australian Statistician, the head of the Australian Bureau of Statistics, between July 2000 and January 2007.
Trewin joined the ABS in 1966 as a statistics cadet. Between 1992 and 1995 he was the Deputy Government Statistici... |
https://en.wikipedia.org/wiki/Slice%20genus | In mathematics, the slice genus of a smooth knot K in S3 (sometimes called its Murasugi genus or 4-ball genus) is the least integer g such that K is the boundary of a connected, orientable 2-manifold S of genus g properly embedded in the 4-ball D4 bounded by S3.
More precisely, if S is required to be smoothly embedded... |
https://en.wikipedia.org/wiki/UEFA%20Cup%20and%20Europa%20League%20records%20and%20statistics | This page details statistics of the UEFA Cup and UEFA Europa League. Unless notified these statistics concern all seasons since inception of the UEFA Cup in the 1971–72 season, including qualifying rounds. The UEFA Cup replaced the Inter-Cities Fairs Cup in the 1971–72 season, so the Fairs Cup is not considered a UEFA ... |
https://en.wikipedia.org/wiki/Track%20geometry%20car | A track geometry car (also known as a track recording car) is an automated track inspection vehicle on a rail transport system used to test several parameters of the track geometry without obstructing normal railroad operations. Some of the parameters generally measured include position, curvature, alignment of the tra... |
https://en.wikipedia.org/wiki/Artin%20billiard | In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non-compact Riemann surface where is the upper half-plane endowed with the Poincaré metric and is the modular group. It can be viewed as the... |
https://en.wikipedia.org/wiki/Chevalley%20basis | In mathematics, a Chevalley basis for a simple complex Lie algebra is a basis constructed by Claude Chevalley with the property that all structure constants are integers. Chevalley used these bases to construct analogues of Lie groups over finite fields, called Chevalley groups. The Chevalley basis is the Cartan-Weyl ... |
https://en.wikipedia.org/wiki/Hadamard%27s%20dynamical%20system | In physics and mathematics, the Hadamard dynamical system (also called Hadamard's billiard or the Hadamard–Gutzwiller model) is a chaotic dynamical system, a type of dynamical billiards. Introduced by Jacques Hadamard in 1898, and studied by Martin Gutzwiller in the 1980s, it is the first dynamical system to be proven ... |
https://en.wikipedia.org/wiki/Strahler%20number | In mathematics, the Strahler number or Horton–Strahler number of a mathematical tree is a numerical measure of its branching complexity.
These numbers were first developed in hydrology, as a way of measuring the complexity of rivers and streams, by and . In this application, they are referred to as the Strahler strea... |
https://en.wikipedia.org/wiki/Algebraic%20operation | In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). These operations may be performed on numbers, in which case they are often called ar... |
https://en.wikipedia.org/wiki/Engalsvik | Engelsviken is a village in Fredrikstad municipality, Norway. As of 2003 it is considered by Statistics Norway as a part of the Greater Lervik area.
In popular culture
In the television show Bones, a real human skeleton tied to a cross was found being used as a stage prop for a Black Metal band in Engelsvik.
Referenc... |
https://en.wikipedia.org/wiki/Digon | In geometry, a digon is a polygon with two sides (edges) and two vertices. Its construction is degenerate in a Euclidean plane because either the two sides would coincide or one or both would have to be curved; however, it can be easily visualised in elliptic space.
A regular digon has both angles equal and both side... |
https://en.wikipedia.org/wiki/Ornstein%20isomorphism%20theorem | In mathematics, the Ornstein isomorphism theorem is a deep result in ergodic theory. It states that if two Bernoulli schemes have the same Kolmogorov entropy, then they are isomorphic. The result, given by Donald Ornstein in 1970, is important because it states that many systems previously believed to be unrelated ar... |
https://en.wikipedia.org/wiki/Poussin%20proof | In number theory, the Poussin proof is the proof of an identity related to the fractional part of a ratio.
In 1838, Peter Gustav Lejeune Dirichlet proved an approximate formula for the average number of divisors of all the numbers from 1 to n:
where d represents the divisor function, and γ represents the Euler-Masche... |
https://en.wikipedia.org/wiki/Markov%20renewal%20process | Markov renewal processes are a class of random processes in probability and statistics that generalize the class of Markov jump processes. Other classes of random processes, such as Markov chains and Poisson processes, can be derived as special cases among the class of Markov renewal processes, while Markov renewal pro... |
https://en.wikipedia.org/wiki/Tom%20Maibaum | Thomas Stephen Edward Maibaum Fellow of the Royal Society of Arts (FRSA) is a computer scientist.
Maibaum has a Bachelor of Science (B.Sc.) undergraduate degree in pure mathematics from the University of Toronto, Canada (1970), and a Doctor of Philosophy (Ph.D.) in computer science from Queen Mary and Royal Holloway C... |
https://en.wikipedia.org/wiki/Whitney%20extension%20theorem | In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed subset of a Euclidean space, then it is possible to extend a given function of A in such a way as to have prescribed derivatives a... |
https://en.wikipedia.org/wiki/Method%20of%20moments%20%28probability%20theory%29 | In probability theory, the method of moments is a way of proving convergence in distribution by proving convergence of a sequence of moment sequences. Suppose X is a random variable and that all of the moments
exist. Further suppose the probability distribution of X is completely determined by its moments, i.e., the... |
https://en.wikipedia.org/wiki/Carter%20subgroup | In mathematics, especially in the field of group theory, a Carter subgroup of a finite group G is a self-normalizing subgroup of G that is nilpotent. These subgroups were introduced by Roger Carter, and marked the beginning of the post 1960 theory of solvable groups .
proved that any finite solvable group has a Carte... |
https://en.wikipedia.org/wiki/Ergodicity | In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a uniform and random sense. This implies that the average behavior of the system can be deduced from the trajectory ... |
https://en.wikipedia.org/wiki/Collocation%20method | In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations. The idea is to choose a finite-dimensional space of candidate solutions (usually polynomials up to a certain degree) and a number of points in the domain... |
https://en.wikipedia.org/wiki/Topological%20entropy | In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of the system. Topological entropy was first introduced in 1965 by Adler, Konheim and McAndrew. Their definition was modelled after the definition of the Kolmogorov–Sinai, ... |
https://en.wikipedia.org/wiki/K%C3%B6nig%27s%20theorem | There are several theorems associated with the name König or Kőnig:
König's theorem (set theory), named after the Hungarian mathematician Gyula Kőnig.
König's theorem (complex analysis), named after the Hungarian mathematician Gyula König.
Kőnig's theorem (graph theory), named after his son Dénes Kőnig.
König's th... |
https://en.wikipedia.org/wiki/Coefficient%20diagram%20method | In control theory, the coefficient diagram method (CDM) is an algebraic approach applied to a polynomial loop in the parameter space, where a special diagram called a "coefficient diagram" is used as the vehicle to carry the necessary information, and as the criterion of good design. The performance of the closed loop ... |
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