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https://en.wikipedia.org/wiki/Olav%20Kallenberg | Olav Kallenberg (born 1939) is a probability theorist known for his work on exchangeable stochastic processes and for his graduate-level textbooks and monographs. Kallenberg is a professor of mathematics at Auburn University in Alabama in the USA.
From 1991 to 1994, Kallenberg served as the Editor-in-Chief of Probabil... |
https://en.wikipedia.org/wiki/Lie%20coalgebra | In mathematics a Lie coalgebra is the dual structure to a Lie algebra.
In finite dimensions, these are dual objects: the dual vector space to a Lie algebra naturally has the structure of a Lie coalgebra, and conversely.
Definition
Let E be a vector space over a field k equipped with a linear mapping from E to the ex... |
https://en.wikipedia.org/wiki/Max%20Deuring | Max Deuring (9 December 1907 – 20 December 1984) was a German mathematician. He is known for his work in arithmetic geometry, in particular on elliptic curves in characteristic p. He worked also in analytic number theory.
Deuring graduated from the University of Göttingen in 1930, then began working with Emmy Noether,... |
https://en.wikipedia.org/wiki/Information%20theory%20and%20measure%20theory | This article discusses how information theory (a branch of mathematics studying the transmission, processing and storage of information) is related to measure theory (a branch of mathematics related to integration and probability).
Measures in information theory
Many of the concepts in information theory have separat... |
https://en.wikipedia.org/wiki/Music%20and%20mathematics | Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number t... |
https://en.wikipedia.org/wiki/Latimer%E2%80%93MacDuffee%20theorem | The Latimer–MacDuffee theorem is a theorem in abstract algebra, a branch of mathematics.
It is named after Claiborne Latimer and Cyrus Colton MacDuffee, who published it in 1933. Significant contributions to its theory were made later by Olga Taussky-Todd.
Let be a monic, irreducible polynomial of degree . The Lati... |
https://en.wikipedia.org/wiki/Empirical%20measure | In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical statistics.
The motivation for studying empirical measures is that it is oft... |
https://en.wikipedia.org/wiki/Biracks%20and%20biquandles | In mathematics, biquandles and biracks are sets with binary operations that generalize quandles and racks. Biquandles take, in the theory of virtual knots, the place that quandles occupy in the theory of classical knots. Biracks and racks have the same relation, while a biquandle is a birack which satisfies some additi... |
https://en.wikipedia.org/wiki/Apeirogon | In geometry, an apeirogon () or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of infinite polytopes. In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an infinite dihedral group of symmetries.
Definitions
Classical construc... |
https://en.wikipedia.org/wiki/Signed%20distance%20function | In mathematics and its applications, the signed distance function (or oriented distance function) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space, with the sign determined by whether or not x is in the interior of Ω. The function has positive values at points x inside Ω, it de... |
https://en.wikipedia.org/wiki/Thompson%20subgroup | In mathematical finite group theory, the Thompson subgroup of a finite p-group P refers to one of several characteristic subgroups of P. originally defined to be the subgroup generated by the abelian subgroups of P of maximal rank. More often the Thompson subgroup is defined to be the subgroup generated by the a... |
https://en.wikipedia.org/wiki/Australian%20and%20New%20Zealand%20Standard%20Industrial%20Classification | Australian and New Zealand Standard Industrial Classification (ANZSIC) was jointly developed by the Australian Bureau of Statistics and Statistics New Zealand in order to make it easier to compare industry statistics between the two countries and with the rest of the world.
The 2006 edition of the ANZSIC replaced the ... |
https://en.wikipedia.org/wiki/Dietrich%20Stoyan | Dietrich Stoyan (born 1940, Germany) is a German mathematician and statistician who made contributions to queueing theory, stochastic geometry, and spatial statistics.
Education and career
Stoyan studied mathematics at Technical University Dresden; applied research at Deutsches Brennstoffinstitut Freiberg, 1967 PhD, 1... |
https://en.wikipedia.org/wiki/Quasi-open%20map | In topology a branch of mathematics, a quasi-open map or quasi-interior map is a function which has similar properties to continuous maps.
However, continuous maps and quasi-open maps are not related.
Definition
A function between topological spaces and is quasi-open if, for any non-empty open set , the interior... |
https://en.wikipedia.org/wiki/Sergei%20Godunov | Sergei Konstantinovich Godunov (; 17 July 1929 – 15 July 2023) was a Soviet and Russian professor at the Sobolev Institute of Mathematics of the Russian Academy of Sciences in Novosibirsk, Russia.
Biography
Godunov's most influential work is in the area of applied and numerical mathematics, particularly in the develop... |
https://en.wikipedia.org/wiki/Signal-to-noise%20statistic | In mathematics the signal-to-noise statistic distance between two vectors a and b with mean values and and standard deviation and respectively is:
In the case of Gaussian-distributed data and unbiased class distributions, this statistic can be related to classification accuracy given an ideal linear discrimination... |
https://en.wikipedia.org/wiki/Rape%20statistics | Statistics on rape and other sexual assaults are commonly available in industrialized countries, and have become better documented throughout the world. Inconsistent definitions of rape, different rates of reporting, recording, prosecution and conviction for rape can create controversial statistical disparities, and le... |
https://en.wikipedia.org/wiki/Estimation%20lemma | In mathematics the estimation lemma, also known as the inequality, gives an upper bound for a contour integral. If is a complex-valued, continuous function on the contour and if its absolute value is bounded by a constant for all on , then
where is the arc length of . In particular, we may take the maximum
as ... |
https://en.wikipedia.org/wiki/Lockleys%2C%20South%20Australia | Lockleys is an inner western suburb of Adelaide, in the City of West Torrens.
Australian Bureau of Statistics data from May 2021 revealed that Adelaide's western suburbs had the lowest unemployment rate in South Australia.
History
The area was inhabited by the Kaurna people before the British colonisation of South Au... |
https://en.wikipedia.org/wiki/WPO | WPO may refer to:
Computing and math
Web performance optimization, in website optimization
Well partial order, an ordering relation in mathematics
Whole program optimization, a compiler optimization
Other uses
Weakly Pareto Optimal
North Fork Valley Airport (IATA code), in the List of airports in Colorado, US
... |
https://en.wikipedia.org/wiki/Local%20time%20%28mathematics%29 | In the mathematical theory of stochastic processes, local time is a stochastic process associated with semimartingale processes such as Brownian motion, that characterizes the amount of time a particle has spent at a given level. Local time appears in various stochastic integration formulas, such as Tanaka's formula, i... |
https://en.wikipedia.org/wiki/N.%20E.%20Cameron | N. E. Cameron (26 January 1903 – May 1983) was a writer from Guyana who wrote on almost every topic from history and mathematics to politics.
Biography
Early years and education
Norman Eustace Cameron was born in New Amsterdam, Guyana. He attended Queen's College in Georgetown, and in 1921 won the Guyana Scholarship,... |
https://en.wikipedia.org/wiki/Stark%20conjectures | In number theory, the Stark conjectures, introduced by and later expanded by , give conjectural information about the coefficient of the leading term in the Taylor expansion of an Artin L-function associated with a Galois extension K/k of algebraic number fields. The conjectures generalize the analytic class number... |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Enrique%20Moyal | José Enrique Moyal (; 1 October 1910 – 22 May 1998) was an Australian mathematician and mathematical physicist who contributed to aeronautical engineering, electrical engineering and statistics, among other fields.
Career
Moyal helped establish the phase space formulation of quantum mechanics in 1949 by bringing toge... |
https://en.wikipedia.org/wiki/Rami%20Grossberg | Rami Grossberg () is a full professor of mathematics at Carnegie Mellon University and works in model theory.
Work
Grossberg's work in the past few years has revolved around the classification theory of non-elementary classes. In particular, he has provided, in joint work with Monica VanDieren, a proof of an upward "M... |
https://en.wikipedia.org/wiki/Pseudorandom%20graph | In graph theory, a graph is said to be a pseudorandom graph if it obeys certain properties that random graphs obey with high probability. There is no concrete definition of graph pseudorandomness, but there are many reasonable characterizations of pseudorandomness one can consider.
Pseudorandom properties were first f... |
https://en.wikipedia.org/wiki/Theodore%20Slaman | Theodore Allen Slaman (born April 17, 1954) is a professor of mathematics at the University of California, Berkeley who works in recursion theory.
Slaman and W. Hugh Woodin formulated the Bi-interpretability Conjecture for the Turing degrees, which conjectures that the partial order of the Turing degrees is logically ... |
https://en.wikipedia.org/wiki/Leo%20Harrington | Leo Anthony Harrington (born May 17, 1946) is a professor of mathematics at the University of California, Berkeley who works in
recursion theory, model theory, and set theory.
Having retired from being a Mathematician, Professor Leo Harrington is now a Philosopher.
His notable results include proving the Paris–Harrin... |
https://en.wikipedia.org/wiki/Robin%20Hartshorne |
Robin Cope Hartshorne ( ; born March 15, 1938) is an American mathematician who is known for his work in algebraic geometry.
Career
Hartshorne was a Putnam Fellow in Fall 1958 while he was an undergraduate at Harvard University (under the name Robert C. Hartshorne). He received a Ph.D. in mathematics from Princeton ... |
https://en.wikipedia.org/wiki/James%20Sethian | James Albert Sethian is a professor of mathematics at the University of California, Berkeley and the head of the Mathematics Group at the United States Department of Energy's Lawrence Berkeley National Laboratory.
Sethian was born in Washington, D.C., on May 10, 1954. He received a B.A. (1976) from Princeton and a M... |
https://en.wikipedia.org/wiki/Institute%20For%20Figuring | The Institute For Figuring (IFF) is an organization based in Los Angeles, California that promotes the public understanding of the poetic and aesthetic dimensions of science, mathematics and the technical arts. Founded by Margaret Wertheim and Christine Wertheim, the institute hosts public lectures and exhibitions, pub... |
https://en.wikipedia.org/wiki/Fidelity%20of%20quantum%20states | In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric... |
https://en.wikipedia.org/wiki/318%20%28number%29 | 318 is the natural number following 317 and preceding 319.
In mathematics
318 is:
a sphenic number
a nontotient
the number of posets with 6 unlabeled elements
the sum of 12 consecutive primes, 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47.
In religion
In Genesis 14, Abraham takes 318 men to rescue his brot... |
https://en.wikipedia.org/wiki/UCT%20Mathematics%20Competition | The UCT Mathematics Competition is an annual mathematics competition for schools in the Western Cape province of South Africa, held at the University of Cape Town.
Around 7000 participants from Grade 8 to Grade 12 take part, writing a multiple-choice paper. Individual and pair entries are accepted, but all write the s... |
https://en.wikipedia.org/wiki/Analysis%20Situs%20%28paper%29 | "Analysis Situs" is a seminal mathematics paper that Henri Poincaré published in 1895. Poincaré published five supplements to the paper between 1899 and 1904.
These papers provided the first systematic treatment of topology and revolutionized the subject by using algebraic structures to distinguish between non-homeomo... |
https://en.wikipedia.org/wiki/Resolvable%20space | In topology, a topological space is said to be resolvable if it is expressible as the union of two disjoint dense subsets. For instance, the real numbers form a resolvable topological space because the rationals and irrationals are disjoint dense subsets. A topological space that is not resolvable is termed irresolvab... |
https://en.wikipedia.org/wiki/Toronto%20space | In mathematics, in the realm of point-set topology, a Toronto space is a topological space that is homeomorphic to every proper subspace of the same cardinality.
There are five homeomorphism classes of countable Toronto spaces, namely: the discrete topology, the indiscrete topology, the cofinite topology and the upper... |
https://en.wikipedia.org/wiki/Feebly%20compact%20space | In mathematics, a topological space is feebly compact if every locally finite cover by nonempty open sets is finite. The concept was introduced by S. Mardeĉić and P. Papić in 1955.
Some facts:
Every compact space is feebly compact.
Every feebly compact paracompact space is compact.
Every feebly compact space is p... |
https://en.wikipedia.org/wiki/Gamma%20%28disambiguation%29 | Gamma is the third letter of the Greek alphabet.
Gamma may also refer to:
Science and mathematics
General
Gamma wave, a type of brain wave
Latin gamma (), used as an IPA symbol for voiced velar fricative and in the alphabets of African languages
Tropical Storm Gamma (2005), a 2005 Tropical Storm, that made landfall ... |
https://en.wikipedia.org/wiki/%C3%89tale%20topology | In algebraic geometry, the étale topology is a Grothendieck topology on the category of schemes which has properties similar to the Euclidean topology, but unlike the Euclidean topology, it is also defined in positive characteristic. The étale topology was originally introduced by Alexander Grothendieck to define étal... |
https://en.wikipedia.org/wiki/Weierstrass%20product%20inequality | In mathematics, the Weierstrass product inequality states that for any real numbers 0 ≤ x1, ..., xn ≤ 1 we have
where
The inequality is named after the German mathematician Karl Weierstrass.
Proof
The inequality with the subtractions can be proven easily via mathematical induction. The one with the additions is p... |
https://en.wikipedia.org/wiki/Cicho%C5%84%27s%20diagram | In set theory,
Cichoń's diagram or Cichon's diagram is a table of 10 infinite cardinal numbers related to the set theory of the reals displaying the provable relations between these
cardinal characteristics of the continuum. All these cardinals are greater than or equal to , the smallest uncountable cardinal, and t... |
https://en.wikipedia.org/wiki/Kerk-Avezaath | Kerk-Avezaath is a village in the Dutch province of Gelderland. It is a part of the municipality of Buren, and lies about 3 km west of Tiel.
A small part of the village (not counted in the statistics above) is part of the municipality of Tiel, and consists of about 60 houses.
History
It was first mentioned in 850 as... |
https://en.wikipedia.org/wiki/Kenneth%20Kunen | Herbert Kenneth Kunen (August 2, 1943August 14, 2020) was a professor of mathematics at the University of Wisconsin–Madison who worked in set theory and its applications to various areas of mathematics, such as set-theoretic topology and measure theory. He also worked on non-associative algebraic systems, such as loops... |
https://en.wikipedia.org/wiki/Paley%20graph | In mathematics, Paley graphs are dense undirected graphs constructed from the members of a suitable finite field by connecting pairs of elements that differ by a quadratic residue. The Paley graphs form an infinite family of conference graphs, which yield an infinite family of symmetric conference matrices. Paley graph... |
https://en.wikipedia.org/wiki/Gillams%2C%20Newfoundland%20and%20Labrador | Gillams is a town located north west of the city of Corner Brook in the Canadian province of Newfoundland and Labrador.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Gillams had a population of living in of its total private dwellings, a change of from its 2016 population of . With... |
https://en.wikipedia.org/wiki/Full-employment%20theorem | In computer science and mathematics, a full employment theorem is a term used, often humorously, to refer to a theorem which states that no algorithm can optimally perform a particular task done by some class of professionals. The name arises because such a theorem ensures that there is endless scope to keep discoverin... |
https://en.wikipedia.org/wiki/Bhaskaracharya%20Pratishthana | Bhaskaracharya Pratishthana is a research and education institute for mathematics in Pune, India, founded by noted Indian-American mathematician professor Shreeram Abhyankar.
The institute is named after the great ancient Indian Mathematician Bhaskaracharya (Born in 1114 A.D.). Bhaskaracharya Pratishthana is a Pune, In... |
https://en.wikipedia.org/wiki/SQ-universal%20group | In mathematics, in the realm of group theory, a countable group is said to be SQ-universal if every countable group can be embedded in one of its quotient groups. SQ-universality can be thought of as a measure of largeness or complexity of a group.
History
Many classic results of combinatorial group theory, going back... |
https://en.wikipedia.org/wiki/Family%20of%20curves | In geometry, a family of curves is a set of curves, each of which is given by a function or parametrization in which one or more of the parameters is variable. In general, the parameter(s) influence the shape of the curve in a way that is more complicated than a simple linear transformation. Sets of curves given by an ... |
https://en.wikipedia.org/wiki/Junkyard%20tornado | The junkyard tornado, sometimes known as Hoyle's fallacy, is an argument against abiogenesis, using a calculation of its probability based on false assumptions, as comparable to "a tornado sweeping through a junk-yard might assemble a Boeing 747 from the materials therein" and to compare the chance of obtaining even a ... |
https://en.wikipedia.org/wiki/Mean%20absolute%20difference | The mean absolute difference (univariate) is a measure of statistical dispersion equal to the average absolute difference of two independent values drawn from a probability distribution. A related statistic is the relative mean absolute difference, which is the mean absolute difference divided by the arithmetic mean, ... |
https://en.wikipedia.org/wiki/Ehresmann%20connection | In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber... |
https://en.wikipedia.org/wiki/Van%20Hiele%20model | In mathematics education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands. The Soviets did research on the theory in the 1960... |
https://en.wikipedia.org/wiki/Arnold%27s%20cat%20map | In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using an image of a cat, hence the name.
Thinking of the torus as the quotient space , Arnold's cat map is the transformation given by the formula
Equivalently, in mat... |
https://en.wikipedia.org/wiki/Stewart%27s%20theorem | In geometry, Stewart's theorem yields a relation between the lengths of the sides and the length of a cevian in a triangle. Its name is in honour of the Scottish mathematician Matthew Stewart, who published the theorem in 1746.
Statement
Let , , be the lengths of the sides of a triangle. Let be the length of a ce... |
https://en.wikipedia.org/wiki/Brauer%E2%80%93Nesbitt%20theorem | In mathematics, the Brauer–Nesbitt theorem can refer to several different theorems proved by Richard Brauer and Cecil J. Nesbitt in the representation theory of finite groups.
In modular representation theory,
the Brauer–Nesbitt theorem on blocks of defect zero states that a character whose order is divisible by the ... |
https://en.wikipedia.org/wiki/Slender%20group | In mathematics, a slender group is a torsion-free abelian group that is "small" in a sense that is made precise in the definition below.
Definition
Let ZN denote the Baer–Specker group, that is, the group of all integer sequences, with termwise addition. For each natural number n, let en be the sequence with n-th te... |
https://en.wikipedia.org/wiki/Cotorsion%20group | In abelian group theory, an abelian group is said to be cotorsion if every extension of it by a torsion-free group splits. If the group is , this says that for all torsion-free groups . It suffices to check the condition for the group of rational numbers.
More generally, a module M over a ring R is said to be a coto... |
https://en.wikipedia.org/wiki/Thin%20group%20%28combinatorial%20group%20theory%29 | In mathematics, in the realm of group theory, a group is said to be thin if there is a finite upper bound on the girth of the Cayley graph induced by any finite generating set. The group is called fat if it is not thin.
Given any generating set of the group, we can consider a graph whose vertices are elements of the g... |
https://en.wikipedia.org/wiki/Pure%20subgroup | In mathematics, especially in the area of algebra studying the theory of abelian groups, a pure subgroup is a generalization of direct summand. It has found many uses in abelian group theory and related areas.
Definition
A subgroup of a (typically abelian) group is said to be pure if whenever an element of has an ... |
https://en.wikipedia.org/wiki/Algebraically%20compact%20group | In mathematics, in the realm of abelian group theory, a group is said to be algebraically compact if it is a direct summand of every abelian group containing it as a pure subgroup.
Equivalent characterizations of algebraic compactness:
The reduced part of the group is Hausdorff and complete in the adic topology.
Th... |
https://en.wikipedia.org/wiki/Critical%20group | In mathematics, in the realm of group theory, a group is said to be critical if it is not in the variety generated by all its proper subquotients, which includes all its subgroups and all its quotients.
Any finite monolithic A-group is critical. This result is due to Kovacs and Newman.
The variety generated by a fin... |
https://en.wikipedia.org/wiki/Stochastic%20volatility | In statistics, stochastic volatility models are those in which the variance of a stochastic process is itself randomly distributed. They are used in the field of mathematical finance to evaluate derivative securities, such as options. The name derives from the models' treatment of the underlying security's volatility a... |
https://en.wikipedia.org/wiki/Partial%20geometry | An incidence structure consists of points , lines , and flags where a point is said to be incident with a line if . It is a (finite) partial geometry if there are integers such that:
For any pair of distinct points and , there is at most one line incident with both of them.
Each line is incident with points.
... |
https://en.wikipedia.org/wiki/Epigraph%20%28mathematics%29 | In mathematics, the epigraph or supergraph of a function valued in the extended real numbers is the set, denoted by of all points in the Cartesian product lying on or above its graph. The strict epigraph is the set of points in lying strictly above its graph.
Importantly, although both the graph and epigraph of... |
https://en.wikipedia.org/wiki/Arc%20%28projective%20geometry%29 | An (simple) arc in finite projective geometry is a set of points which satisfies, in an intuitive way, a feature of curved figures in continuous geometries. Loosely speaking, they are sets of points that are far from "line-like" in a plane or far from "plane-like" in a three-dimensional space. In this finite setting it... |
https://en.wikipedia.org/wiki/CA-group | In mathematics, in the realm of group theory, a group is said to be a CA-group or centralizer abelian group if the centralizer of any nonidentity element is an abelian subgroup. Finite CA-groups are of historical importance as an early example of the type of classifications that would be used in the Feit–Thompson theo... |
https://en.wikipedia.org/wiki/CN-group | In mathematics, in the area of algebra known as group theory, a more than fifty-year effort was made to answer a conjecture of : are all groups of odd order solvable? Progress was made by showing that CA-groups, groups in which the centralizer of a non-identity element is abelian, of odd order are solvable . Further pr... |
https://en.wikipedia.org/wiki/Special%20abelian%20subgroup | In mathematical group theory, a subgroup of a group is termed a special abelian subgroup or SA-subgroup if the centralizer of any nonidentity element in the subgroup is precisely the subgroup. Equivalently, an SA subgroup is a centrally closed abelian subgroup.
Any SA subgroup is a maximal abelian subgroup, that is,... |
https://en.wikipedia.org/wiki/Centrally%20closed%20subgroup | In mathematics, in the realm of group theory, a subgroup of a group is said to be centrally closed if the centralizer of any nonidentity element of the subgroup lies inside the subgroup.
Some facts about centrally closed subgroups:
Every malnormal subgroup is centrally closed.
Every Frobenius kernel is centrally cl... |
https://en.wikipedia.org/wiki/List%20of%20law%20enforcement%20agencies%20in%20Nevada | This is a list of law enforcement agencies in the U.S. state of Nevada.
According to the US Bureau of Justice Statistics' 2008 Census of State and Local Law Enforcement Agencies, the state had 76 law enforcement agencies employing 6,643 sworn police officers, about 254 for each 100,000 residents.
Law enforcement in N... |
https://en.wikipedia.org/wiki/World%20Rugby%20Coach%20of%20the%20Year | The World Rugby Coach of the Year is awarded by World Rugby in the autumn each year. From 2004 to 2007, the award was called the IRB International Coach of the Year.
List of winners
Statistics
Notes
References
External links
Coach
IRB Award
Coaching awards |
https://en.wikipedia.org/wiki/Heronian%20mean | In mathematics, the Heronian mean H of two non-negative real numbers A and B is given by the formula
It is named after Hero of Alexandria.
Properties
Just like all means, the Heronian mean is symmetric (it does not depend on the order in which its two arguments are given) and idempotent (the mean of any number with i... |
https://en.wikipedia.org/wiki/Anders%20Martin-L%C3%B6f | Anders Martin-Löf (born 16 March 1940) is a Swedish physicist and mathematician. He has been a professor at the Department of Mathematics of Stockholm University.
Martin-Löf did his undergraduate studies at the KTH Royal Institute of Technology in Stockholm and got his exam in engineering physics in 1963. He continu... |
https://en.wikipedia.org/wiki/Pasch%27s%20axiom | In geometry, Pasch's axiom is a statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them. Its essential role was discovered by Moritz Pasch in 1882.
Statement
The axiom states that,
The fact that segments AC and BC are not both intersected by the line i... |
https://en.wikipedia.org/wiki/2011%20Canadian%20census | The 2011 Canadian census was a detailed enumeration of the Canadian population on May 10, 2011. Statistics Canada, an agency of the Canadian government, conducts a nationwide census every five years. In 2011, it consisted of a mandatory short form census questionnaire and an inaugural National Household Survey (NHS), a... |
https://en.wikipedia.org/wiki/Artin%E2%80%93Hasse%20exponential | In mathematics, the Artin–Hasse exponential, introduced by , is the power series given by
Motivation
One motivation for considering this series to be analogous to the exponential function comes from infinite products. In the ring of formal power series Q[[x]] we have the identity
where μ(n) is the Möbius function. ... |
https://en.wikipedia.org/wiki/Jean%20Cavaill%C3%A8s | Jean Cavaillès (; ; 15 May 1903 – 4 April 1944) was a French philosopher and logician who specialized in philosophy of mathematics and philosophy of science. He took part in the French Resistance within the Libération movement and was arrested by the Gestapo on 17 February 1944 and shot on 4 April 1944.
Early life and... |
https://en.wikipedia.org/wiki/Harmonic%20polynomial | In mathematics, in abstract algebra, a multivariate polynomial over a field such that the Laplacian of is zero is termed a harmonic polynomial.
The harmonic polynomials form a vector subspace of the vector space of polynomials over the field. In fact, they form a graded subspace. For the real field, the harmonic pol... |
https://en.wikipedia.org/wiki/Radical%20polynomial | In mathematics, in the realm of abstract algebra, a radical polynomial is a multivariate polynomial over a field that can be expressed as a polynomial in the sum of squares of the variables. That is, if
is a polynomial ring, the ring of radical polynomials is the subring generated by the polynomial
Radical polyn... |
https://en.wikipedia.org/wiki/Luzin%20N%20property | In mathematics, a function f on the interval [a, b] has the Luzin N property, named after Nikolai Luzin (also called Luzin property or N property) if for all such that , there holds: , where stands for the Lebesgue measure.
Note that the image of such a set N is not necessarily measurable, but since the Lebesgue mea... |
https://en.wikipedia.org/wiki/Mathsoft | MathSoft was founded in 1984 by Allen Razdow and David Blohm to provide mathematical programs to students, teachers, and professionals. The company is best known for its Mathcad software, an application for solving and visualizing mathematical problems. The company also created the StudyWorks series of math and science... |
https://en.wikipedia.org/wiki/Linear%20connection | In the mathematical field of differential geometry, the term linear connection can refer to either of the following overlapping concepts:
a connection on a vector bundle, often viewed as a differential operator (a Koszul connection or covariant derivative);
a principal connection on the frame bundle of a manifold or ... |
https://en.wikipedia.org/wiki/National%20Numeracy%20Strategy | The National Numeracy Strategy arose out of the National Numeracy Project in 1996, led by a Numeracy Task Force in England. The strategy included an outline of expected teaching in mathematics for all pupils from Reception to Year 6.
In 2003, the strategy, including the framework for teaching, was absorbed into the br... |
https://en.wikipedia.org/wiki/International%20Financial%20Statistics | The IMF International Financial Statistics (IFS) is a compilation of financial data collected from various sources, covering the economies of 194 countries and areas worldwide, which is published monthly by the International Monetary Fund (IMF).
Methodology and scope
The IFS is the IMF’s principal statistical publicat... |
https://en.wikipedia.org/wiki/Indecomposable%20distribution | In probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or more non-constant independent random variables: Z ≠ X + Y. If it can be so expressed, it is decomposable: Z = X + Y. If, further, it can be expressed as the distribut... |
https://en.wikipedia.org/wiki/Lo%C3%A8ve%20Prize | The Line and Michel Loève International Prize in Probability (Loève Prize) was created in 1992 in honor of Michel Loève by his widow Line. The prize, awarded every two years, is intended to recognize outstanding contributions by researchers in mathematical probability who are under 45 years old. With a prize value of... |
https://en.wikipedia.org/wiki/MCQ | MCQ may refer to
McQ, a 1974 famous crime drama
McQ Inc, an American defense company based in Pennsylvania
Mathematical Citation Quotient, a measure of the impact of a mathematics journal
Multiple choice question
Malvern College Qingdao
IATA code for Miskolc Airport
McQ, a clothing line from Alexander McQueen ... |
https://en.wikipedia.org/wiki/Lebesgue%20differentiation%20theorem | In mathematics, the Lebesgue differentiation theorem is a theorem of real analysis, which states that for almost every point, the value of an integrable function is the limit of infinitesimal averages taken about the point. The theorem is named for Henri Lebesgue.
Statement
For a Lebesgue integrable real or complex-va... |
https://en.wikipedia.org/wiki/Zsigmondy%27s%20theorem | In number theory, Zsigmondy's theorem, named after Karl Zsigmondy, states that if are coprime integers, then for any integer , there is a prime number p (called a primitive prime divisor) that divides and does not divide for any positive integer , with the following exceptions:
, ; then which has no prime divisors... |
https://en.wikipedia.org/wiki/2006%20World%20Series%20of%20Poker%20results | This list of 2006 World Series of Poker (WSOP) results includes statistics, final table results and payouts.
The total money paid out in the 2006 events was $156,409,974.
Results
Event 1: $500 No Limit Hold 'em--Casino Employees
This event kicked off the 2006 WSOP. It was a $500 buy-in no limit Texas hold 'em tourna... |
https://en.wikipedia.org/wiki/Don%20Rees | Dr. Donald Rees is the former warden of Hugh Stewart Hall in the University of Nottingham for 29 years (1975–2004). Dr. Rees was a highly respected academic, being a professor of mathematics, and a leading member of the University community. He was the last warden to inhabit the Warden's House at Hugh Stewart in its en... |
https://en.wikipedia.org/wiki/Lakes%20of%20Wada | In mathematics, the are three disjoint connected open sets of the plane or open unit square with the counterintuitive property that they all have the same boundary. In other words, for any point selected on the boundary of one of the lakes, the other two lakes' boundaries also contain that point.
More than two sets w... |
https://en.wikipedia.org/wiki/Projective%20connection | In differential geometry, a projective connection is a type of Cartan connection on a differentiable manifold.
The structure of a projective connection is modeled on the geometry of projective space, rather than the affine space corresponding to an affine connection. Much like affine connections, projective connectio... |
https://en.wikipedia.org/wiki/Rabi%20frequency | The Rabi frequency is the frequency at which the probability amplitudes of two atomic energy levels fluctuate in an oscillating electromagnetic field. It is proportional to the Transition Dipole Moment of the two levels and to the amplitude (not intensity) of the Electromagnetic field. Population transfer between the l... |
https://en.wikipedia.org/wiki/Residually%20finite%20group | In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every element g that is not the identity in G there is a homomorphism h from G to a finite group, such that
There are a number of equivalent definitions:
A group is residually finite if for each non-identity elem... |
https://en.wikipedia.org/wiki/Parafree%20group | In mathematics, in the realm of group theory, a group is said to be parafree if its quotients by the terms of its lower central series are the same as those of a free group and if it is residually nilpotent (the intersection of the terms of its lower central series is trivial).
Parafree groups share many properties wi... |
https://en.wikipedia.org/wiki/Complemented%20group | In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways.
In , a complemented group is one in which every subgroup has a group-theoretic complement. Such groups are called completely factorizable groups in the Russian literature, following and .
The followi... |
https://en.wikipedia.org/wiki/Quasiconvex%20function | In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form is a convex set. For a function of a single variable, along any stretch of the curve the highest point is one of the endpoints. The neg... |
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