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https://en.wikipedia.org/wiki/Fisher%20consistency | In statistics, Fisher consistency, named after Ronald Fisher, is a desirable property of an estimator asserting that if the estimator were calculated using the entire population rather than a sample, the true value of the estimated parameter would be obtained.
Definition
Suppose we have a statistical sample X1, ...,... |
https://en.wikipedia.org/wiki/Tony%20Brooker | Ralph Anthony Brooker (22 September 1925 – 20 November 2019), was a British computer scientist known for developing the Mark 1 Autocode.
He was educated at Emanuel School and graduated in Mathematics from Imperial College in 1945 and returned there in 1947 as assistant lecturer. His first computer project was the cons... |
https://en.wikipedia.org/wiki/High-dimensional%20statistics | In statistical theory, the field of high-dimensional statistics studies data whose dimension is larger than typically considered in classical multivariate analysis. The area arose owing to the emergence of many modern data sets in which the dimension of the data vectors may be comparable to, or even larger than, the s... |
https://en.wikipedia.org/wiki/William%20McCune | William Walker McCune (December 17, 1953 – May 2, 2011) was an American computer scientist and logician working in the fields of automated reasoning, algebra, logic, and formal methods. He was best known for the development of the Otter, Prover9, and Mace4 automated reasoning systems, and the automated proof of the Rob... |
https://en.wikipedia.org/wiki/Tammes%20problem | In geometry, the Tammes problem is a problem in packing a given number of points on the surface of a sphere such that the minimum distance between points is maximized. It is named after the Dutch botanist Pieter Merkus Lambertus Tammes (the nephew of pioneering botanist Jantina Tammes) who posed the problem in his 193... |
https://en.wikipedia.org/wiki/Five%20circles%20theorem | In geometry, the five circles theorem states that, given five circles centered on a common sixth circle and intersecting each other chainwise on the same circle, the lines joining their second intersection points forms a pentagram whose points lie on the circles themselves.
See also
Clifford's circle theorems
Miquel... |
https://en.wikipedia.org/wiki/Six%20circles%20theorem | In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the chain. The chain closes, in the sense that the sixth circle is always tangent to the first circle. It is assumed in this... |
https://en.wikipedia.org/wiki/Seven%20circles%20theorem | In geometry, the seven circles theorem is a theorem about a certain arrangement of seven circles in the Euclidean plane. Specifically, given a chain of six circles all tangent to a seventh circle and each tangent to its two neighbors, the three lines drawn between opposite pairs of the points of tangency on the sevent... |
https://en.wikipedia.org/wiki/Miquel%27s%20theorem | Miquel's theorem is a result in geometry, named after Auguste Miquel, concerning the intersection of three circles, each drawn through one vertex of a triangle and two points on its adjacent sides. It is one of several results concerning circles in Euclidean geometry due to Miquel, whose work was published in Liouville... |
https://en.wikipedia.org/wiki/Clifford%27s%20circle%20theorems | In geometry, Clifford's theorems, named after the English geometer William Kingdon Clifford, are a sequence of theorems relating to intersections of circles.
Statement
The first theorem considers any four circles passing through a common point M and otherwise in general position, meaning that there are six additiona... |
https://en.wikipedia.org/wiki/Robert%20Edouard%20Moritz | Robert Edouard Moritz (2 Jun 1868 – 28 Dec 1940) was a German-American mathematician.
He published about 75 books and papers. For over 30 years he was head of the mathematics department at the University of Washington.
Biography
Moritz was born in Schleswig-Holstein to Karl R. and Maria Stahlhut Moritz, and emigrated... |
https://en.wikipedia.org/wiki/Zoll%20surface | In mathematics, particularly in differential geometry, a Zoll surface, named after Otto Zoll, is a surface homeomorphic to the 2-sphere, equipped with a Riemannian metric all of whose geodesics are closed and of equal length. While the usual unit-sphere metric on S2 obviously has this property, it also has an infinite... |
https://en.wikipedia.org/wiki/Riemann%20hypothesis | In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . Many consider it to be the most important unsolved problem in pure mathematics. It is of great interest in number theory because it implies result... |
https://en.wikipedia.org/wiki/John%20W.%20Dawson%20Jr. | John W. Dawson Jr. (born February 4, 1944) is an American academic who is an emeritus professor of mathematics at Penn State York.
Early life and education
Born in Wichita, Kansas, Dawson attended the Massachusetts Institute of Technology as a National Merit Scholar before earning a doctorate in mathematical logic fr... |
https://en.wikipedia.org/wiki/Tangent%20circles | In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal and external. Many problems and constructions in geometry are related to tangent circles; such problems often have real-life applications such as trila... |
https://en.wikipedia.org/wiki/Timeline%20of%20category%20theory%20and%20related%20mathematics | This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as:
Categories of abstract algebraic structures including representation theory and universal algebra;
Homological algebra;
Homotopical algebra;
Topology using categories, including algebraic topology, categori... |
https://en.wikipedia.org/wiki/Farid%20Abedi | Farid Abedi (born August 28, 1977 in Firouzabad) is an Iranian footballer. He currently plays for Bargh Shiraz in Azadegan League.
Club Career Statistics
Last Update 5 June 2010
Assist Goals
References
Iran Pro League Stats
1977 births
Living people
Iranian men's footballers
Rah Ahan Tehran F.C. players
Bargh ... |
https://en.wikipedia.org/wiki/Krull%20ring | In commutative algebra, a Krull ring, or Krull domain, is a commutative ring with a well behaved theory of prime factorization. They were introduced by Wolfgang Krull in 1931. They are a higher-dimensional generalization of Dedekind domains, which are exactly the Krull domains of dimension at most 1.
In this article, ... |
https://en.wikipedia.org/wiki/Senior%20Wrangler | The Senior Wrangler is the top mathematics undergraduate at the University of Cambridge in England, a position which has been described as "the greatest intellectual achievement attainable in Britain".
Specifically, it is the person who achieves the highest overall mark among the Wranglers – the students at Cambridge ... |
https://en.wikipedia.org/wiki/Locally%20finite%20poset | In mathematics, a locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval [x, y] consists of finitely many elements.
Given a locally finite poset P we can define its incidence algebra. Elements of the incidence algebra are functions ƒ that assign to each interval [x, y] of P a real n... |
https://en.wikipedia.org/wiki/Lions%E2%80%93Lax%E2%80%93Milgram%20theorem | In mathematics, the Lions–Lax–Milgram theorem (or simply Lions's theorem) is a result in functional analysis with applications in the study of partial differential equations. It is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear function can be "inverted" to show the ex... |
https://en.wikipedia.org/wiki/Contact%20type | In mathematics, more precisely in symplectic geometry, a hypersurface of a symplectic manifold is said to be of contact type if there is 1-form such that and is a contact manifold, where is the natural inclusion. The terminology was first coined by Alan Weinstein.
See also
Weinstein conjecture
References
Sy... |
https://en.wikipedia.org/wiki/Common%20chord | Common chord may refer to:
Common chord (geometry), the secant line that joins the intersection points of two curves
Common chord (music), a chord shared by two musical keys
The Common Chord, a 1947 short story collection by Frank O'Connor
Common Chord, a 1993 album by David Grisman |
https://en.wikipedia.org/wiki/Quaternionic%20vector%20space | In mathematics, a left (or right) quaternionic vector space is a left (or right) H-module where H is the (non-commutative) division ring of quaternions.
The space Hn of n-tuples of quaternions is both a left and right H-module using the componentwise left and right multiplication:
for quaternions q and q1, q2, ... qn... |
https://en.wikipedia.org/wiki/Intersecting%20chords%20theorem | In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle.
It states that the products of the lengths of the line segments on each chord are equal.
It is Proposition 35 of Boo... |
https://en.wikipedia.org/wiki/Intersecting%20secants%20theorem | In Euclidean geometry, the intersecting secants theorem or just secant theorem describes the relation of line segments created by two intersecting secants and the associated circle.
For two lines and that intersect each other at and for which all lie on the same circle, the following equation holds:
The theorem f... |
https://en.wikipedia.org/wiki/Geometric%20calculus | In mathematics, geometric calculus extends the geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to encompass other mathematical theories including vector calculus, differential geometry, and differential forms.
Differentiation
With a geometric algebra given, le... |
https://en.wikipedia.org/wiki/Calibrated%20geometry | In the mathematical field of differential geometry, a calibrated manifold is a Riemannian manifold (M,g) of dimension n equipped with a differential p-form φ (for some 0 ≤ p ≤ n) which is a calibration, meaning that:
φ is closed: dφ = 0, where d is the exterior derivative
for any x ∈ M and any oriented p-dimensional ... |
https://en.wikipedia.org/wiki/Riemannian%20circle | In metric space theory and Riemannian geometry, the Riemannian circle is a great circle with a characteristic length. It is the circle equipped with the intrinsic Riemannian metric of a compact one-dimensional manifold of total length 2, or the extrinsic metric obtained by restriction of the intrinsic metric to the two... |
https://en.wikipedia.org/wiki/Gail%20Carpenter | Gail Alexandra Carpenter (born 1948) is an American cognitive scientist, neuroscientist and mathematician. She is now a "Professor Emerita of Mathematics and Statistics, Boston University." She had also been a Professor of Cognitive and Neural Systems at Boston University, and the director of the Department of Cognitiv... |
https://en.wikipedia.org/wiki/David%20Preiss | David Preiss FRS (born January 21, 1947) is a Czech and British mathematician, specializing in mathematical analysis.
He is a professor of mathematics at the University of Warwick
Preiss is a recipient of the Ostrowski Prize (2011)
and the winner of the 2008 London Mathematical Society Pólya Prize for his 1987 resul... |
https://en.wikipedia.org/wiki/Timeline%20of%20probability%20and%20statistics | The following is a timeline of probability and statistics.
Before 1600
8th century – Al-Khalil, an Arab mathematician studying cryptology, wrote the Book of Cryptographic Messages. The work has been lost, but based on the reports of later authors, it contained the first use of permutations and combinations to list all... |
https://en.wikipedia.org/wiki/Timeline%20of%20number%20theory | A timeline of number theory.
Before 1000 BCE
ca. 20,000 BCE — Nile Valley, Ishango Bone: possibly the earliest reference to prime numbers and Egyptian multiplication although this is disputed.
About 300 BCE
300 BCE — Euclid proves the number of prime numbers is infinite.
1st millennium AD
250 — Diophantus writes ... |
https://en.wikipedia.org/wiki/Timeline%20of%20geometry | The following is a timeline of key developments of geometry:
Before 1000 BC
ca. 2000 BC – Scotland, carved stone balls exhibit a variety of symmetries including all of the symmetries of Platonic solids.
1800 BC – Moscow Mathematical Papyrus, findings volume of a frustum
1800 BC – Plimpton 322 contains the oldest ref... |
https://en.wikipedia.org/wiki/Timeline%20of%20calculus%20and%20mathematical%20analysis | A timeline of calculus and mathematical analysis.
500BC to 1600
5th century BC - The Zeno's paradoxes,
5th century BC - Antiphon attempts to square the circle,
5th century BC - Democritus finds the volume of cone is 1/3 of volume of cylinder,
4th century BC - Eudoxus of Cnidus develops the method of exhaustion,
... |
https://en.wikipedia.org/wiki/Representation%20theory | Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing... |
https://en.wikipedia.org/wiki/Zig-zag%20lemma | In mathematics, particularly homological algebra, the zig-zag lemma asserts the existence of a particular long exact sequence in the homology groups of certain chain complexes. The result is valid in every abelian category.
Statement
In an abelian category (such as the category of abelian groups or the category of v... |
https://en.wikipedia.org/wiki/Michael%20S.%20Longuet-Higgins | Michael Selwyn Longuet-Higgins FRS (8 December 1925 – 26 February 2016) was a British mathematician and oceanographer at the Department of Applied Mathematics and Theoretical Physics (DAMTP), Cambridge University, England and Institute for Nonlinear Science, University of California, San Diego, USA. He was the younger ... |
https://en.wikipedia.org/wiki/Exponentially%20equivalent%20measures | In mathematics, exponential equivalence of measures is how two sequences or families of probability measures are "the same" from the point of view of large deviations theory.
Definition
Let be a metric space and consider two one-parameter families of probability measures on , say and . These two families are said to... |
https://en.wikipedia.org/wiki/Yuya%20Sato%20%28footballer%29 | is a Japanese football player who plays for Roasso Kumamoto.
Club statistics
Updated to 10 December 2017.
References
External links
Profile at JEF United Chiba
1986 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League player... |
https://en.wikipedia.org/wiki/Tarski%E2%80%93Seidenberg%20theorem | In mathematics, the Tarski–Seidenberg theorem states that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities. The theorem—also known as the Tarski... |
https://en.wikipedia.org/wiki/Peruvians%20in%20Spain | As of 2018, official statistics showed 201,993 Peruvian-born residents in Spain. Out of these, 129,344 were Spanish citizens and 72,649 had not yet acquired Spanish citizenship. As of 2019, the number had increased to 218,129.
Fall in population during the financial crisis
During the financial crisis, the Peruvian com... |
https://en.wikipedia.org/wiki/Maass%20wave%20form | In mathematics, Maass forms or Maass wave forms are studied in the theory of automorphic forms. Maass forms are complex-valued smooth functions of the upper half plane, which transform in a similar way under the operation of a discrete subgroup of as modular forms. They are eigenforms of the hyperbolic Laplace operat... |
https://en.wikipedia.org/wiki/Tomoyuki%20Arata | is a former Japanese footballer who last played for Japanese club Nagano Parceiro. He was named J2's Rookie of the Year for 2008.
Career statistics
Updated to 2 February 2018.
References
External links
Profile at Nagano Parceiro
1985 births
Living people
Senshu University alumni
Japanese men's footballers
J1 League... |
https://en.wikipedia.org/wiki/James%20W.%20Cannon | James W. Cannon (born January 30, 1943) is an American mathematician working in the areas of low-dimensional topology and geometric group theory. He was an Orson Pratt Professor of Mathematics at Brigham Young University.
Biographical data
James W. Cannon was born on January 30, 1943, in Bellefonte, Pennsylvania. Can... |
https://en.wikipedia.org/wiki/Arithmeum | The Arithmeum is a mathematics museum owned by the Forschungsinstitut für Diskrete Mathematik (Research Institute for Discrete Mathematics) at the University of Bonn.
It was founded in 2008 by the director of the institute, Bernhard Korte, who contributed his private collection of calculating machines.
The building's... |
https://en.wikipedia.org/wiki/Symplectic%20representation | In mathematical field of representation theory, a symplectic representation is a representation of a group or a Lie algebra on a symplectic vector space (V, ω) which preserves the symplectic form ω. Here ω is a nondegenerate skew symmetric bilinear form
where F is the field of scalars. A representation of a group G pr... |
https://en.wikipedia.org/wiki/NUTS%20statistical%20regions%20of%20Belgium | The Nomenclature of Territorial Units for Statistics (NUTS) is a geocode standard for referencing the subdivisions of Belgium for statistical purposes. The standard is developed and regulated by the European Union. The NUTS standard is instrumental in delivering the European Union's Structural Funds. The NUTS code for ... |
https://en.wikipedia.org/wiki/Multiplicative%20character | In mathematics, a multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of a field , usually the field of complex numbers. If G is any group, then the set Ch(G) of these morphisms forms an abelian group under pointwise multiplication... |
https://en.wikipedia.org/wiki/David%20S.%20Moore | David Sheldon Moore is an American statistician, who is known for his leadership of statistics education for many decades.
Biography
David S. Moore received his A.B. from Princeton University and the Ph.D. from Cornell University in mathematics.
In statistics education, David S. Moore is the author of a series of inf... |
https://en.wikipedia.org/wiki/Uniform%20absolute-convergence | In mathematics, uniform absolute-convergence is a type of convergence for series of functions. Like absolute-convergence, it has the useful property that it is preserved when the order of summation is changed.
Motivation
A convergent series of numbers can often be reordered in such a way that the new series diverge... |
https://en.wikipedia.org/wiki/Hadjicostas%27s%20formula | In mathematics, Hadjicostas's formula is a formula relating a certain double integral to values of the gamma function and the Riemann zeta function. It is named after Petros Hadjicostas.
Statement
Let s be a complex number with s ≠ -1 and Re(s) > −2. Then
Here Γ is the Gamma function and ζ is the Riemann zeta funct... |
https://en.wikipedia.org/wiki/Pinch%20point | Pinch point may refer to:
Pinch point (economics), the level of inventories of a commodity or product below which consumers become concerned about security of supply
Pinch point (mathematics), a type of singular point on an algebraic surface
Pinch point bar, a hand tool consisting of a long, straight metal bar
Curb... |
https://en.wikipedia.org/wiki/Pinch%20point%20%28mathematics%29 | In geometry, a pinch point or cuspidal point is a type of singular point on an algebraic surface.
The equation for the surface near a pinch point may be put in the form
where [4] denotes terms of degree 4 or more and is not a square in the ring of functions.
For example the surface near the point , meaning in coor... |
https://en.wikipedia.org/wiki/Cuspidal%20point | Cuspidal point can refer to:
Cuspidal point of a curve, see Cusp (singularity)
Cuspidal point of a surface, see Pinch point (mathematics) |
https://en.wikipedia.org/wiki/Theodoros%20Natsinas | Theodoros Natsinas (; 8 July 1872 - 2 February 1949) was a Greek teacher. He was born in Siatista (), then part of the Ottoman Empire, now in Greece.
Career
He studied Physics and Mathematics at the University of Athens, where he received his degree. After the completion of his studies in 1898, he taught at secondary ... |
https://en.wikipedia.org/wiki/Australian%20cricket%20team%20in%202008%E2%80%9309 | This article contains information, results and statistics regarding the Australian national cricket team in the 2008-09 cricket season. Statisticians class the 2008–09 season as those matches played on tours that started between September 2008 and April 2009.
Player contracts
The 2008-09 list was announced on 9 April ... |
https://en.wikipedia.org/wiki/KANT%20%28software%29 | KANT is a computer algebra system for mathematicians interested in algebraic number theory, performing sophisticated computations in algebraic number fields, in global function fields, and in local fields. KASH is the associated command line interface. They have been developed by the Algebra and Number Theory researc... |
https://en.wikipedia.org/wiki/El%20Hadi%20Fay%C3%A7al%20Ouadah | El Hadi Fayçal Ouadah (born September 24, 1983 in Blida, Algeria) is an Algerian football player who is currently playing as a goalkeeper for AS Khroub in the Algerian Ligue 2.
Career statistics
Club
References
External links
1983 births
Living people
People from Blida
Algerian men's footballers
USM Blida players
... |
https://en.wikipedia.org/wiki/D%C3%A1niel%20R%C3%B3zsa | Dániel Rózsa (born 24 November 1984) is a Hungarian footballer who plays for Austrian club USC Pilgersdorf.
Honours
Hungarian Second Division: Winner: 2008
Club statistics
Updated to games played as of 19 May 2019.
References
External links
HLSZ
1984 births
Footballers from Szombathely
Living people
Hungarian ... |
https://en.wikipedia.org/wiki/Hurwitz%20quaternion%20order | The Hurwitz quaternion order is a specific order in a quaternion algebra over a suitable number field. The order is of particular importance in Riemann surface theory, in connection with surfaces with maximal symmetry, namely the Hurwitz surfaces. The Hurwitz quaternion order was studied in 1967 by Goro Shimura, but ... |
https://en.wikipedia.org/wiki/Australian%20Association%20of%20Mathematics%20Teachers | The Australian Association of Mathematics Teachers is the main representative organisation of mathematics teachers in Australia. Membership is via affiliated state organisations. The AAMT conducts a number of activities including Reach for the stars, an activity for students, as well as submissions to government bodie... |
https://en.wikipedia.org/wiki/Reciprocation | Reciprocation may refer to:
Reciprocating motion, a type of oscillatory motion, as in the action of a reciprocating saw
Reciprocation (geometry), an operation with circles that involves transforming each point in plane into its polar line and each line in the plane into its pole
Reciprocation, application of the re... |
https://en.wikipedia.org/wiki/Lie%20sphere | Lie sphere may refer to:
Lie-sphere, the fourth type of classical bounded symmetric domain
Lie sphere geometry |
https://en.wikipedia.org/wiki/Pole%20and%20polar | In geometry, a pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section.
Polar reciprocation in a given circle is the transformation of each point in the plane into its polar line and each line in the plane into its pole.
Properties
Pole a... |
https://en.wikipedia.org/wiki/De%20Moivre%E2%80%93Laplace%20theorem | In probability theory, the de Moivre–Laplace theorem, which is a special case of the central limit theorem, states that the normal distribution may be used as an approximation to the binomial distribution under certain conditions. In particular, the theorem shows that the probability mass function of the random number... |
https://en.wikipedia.org/wiki/Mathematical%20object | A mathematical object is an abstract concept arising in mathematics.
In the usual language of mathematics, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Typically, a mathematical object can be a value that can be assigned to a ... |
https://en.wikipedia.org/wiki/Hermitian%20connection | In mathematics, a Hermitian connection is a connection on a Hermitian vector bundle over a smooth manifold which is compatible with the Hermitian metric
on , meaning that
for all smooth vector fields and all smooth sections of .
If is a complex manifold, and the Hermitian vector bundle on is equipped with a ... |
https://en.wikipedia.org/wiki/Bismut%20connection | In mathematics, the Bismut connection is the unique connection on a complex Hermitian manifold that satisfies the following conditions,
It preserves the metric
It preserves the complex structure
The torsion contracted with the metric, i.e. , is totally skew-symmetric.
Bismut has used this connection when provi... |
https://en.wikipedia.org/wiki/Ireland%20national%20rugby%20union%20team%20tours | This article is a list of statistics from the Ireland rugby union team's 33 international tours. The article also includes details of the Ireland Wolfhounds' and Developmental sides' three international tours.
Ireland Rugby Tours
Tour Statistics
Ireland A, Emerging Ireland & Development Rugby Tours
Tour Statistics
... |
https://en.wikipedia.org/wiki/Poisson%20limit%20theorem | In probability theory, the law of rare events or Poisson limit theorem states that the Poisson distribution may be used as an approximation to the binomial distribution, under certain conditions. The theorem was named after Siméon Denis Poisson (1781–1840). A generalization of this theorem is Le Cam's theorem.
Theorem... |
https://en.wikipedia.org/wiki/Fundamental%20theorem%20of%20calculus | The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). The two operations are invers... |
https://en.wikipedia.org/wiki/Plane%20%28mathematics%29 | In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely.
A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euc... |
https://en.wikipedia.org/wiki/Petr%20H%C3%A1jek | Petr Hájek (; 6 February 1940 – 26 December 2016) was a Czech scientist in the area of mathematical logic and a professor of mathematics. Born in Prague, he worked at the Institute of Computer Science at the Academy of Sciences of the Czech Republic and as a lecturer at the faculty of mathematics and physics at the Cha... |
https://en.wikipedia.org/wiki/Condensation%20point | In mathematics, a condensation point p of a subset S of a topological space is any point p such that every neighborhood of p contains uncountably many points of S. Thus "condensation point" is synonymous with "-accumulation point".
Examples
If S = (0,1) is the open unit interval, a subset of the real numbers, then 0 i... |
https://en.wikipedia.org/wiki/Gauss%20circle%20problem | In mathematics, the Gauss circle problem is the problem of determining how many integer lattice points there are in a circle centered at the origin and with radius . This number is approximated by the area of the circle, so the real problem is to accurately bound the error term describing how the number of points diff... |
https://en.wikipedia.org/wiki/Riaz%20Ahsan | Syed Riaz Ahsan (24 December 1951 – 8 September 2008) was a Pakistani statistician and mathematician who has worked in applied statistics, applied analysis, applications of special functions. He was a noted professor of applied statistics in University of Karachi, Karachi. Previously, he has served as the president of ... |
https://en.wikipedia.org/wiki/Peter%20Giblin | Peter John Giblin (10 July 1943) is an English mathematician whose primary research involves singularity theory and its application to geometry, computer vision, and computer graphics. Giblin is an emeritus professor of mathematics at the University of Liverpool where he has served on staff for more than 40 years. His ... |
https://en.wikipedia.org/wiki/Jordan%27s%20totient%20function | In number theory, Jordan's totient function, denoted as , where is a positive integer, is a function of a positive integer, , that equals the number of -tuples of positive integers that are less than or equal to and that together with form a coprime set of integers
Jordan's totient function is a generalization of... |
https://en.wikipedia.org/wiki/Tomio%20Kubota | (6 December 1930 – 30 June 2020) was a Japanese mathematician working in number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms.
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt.
He extended the concept of... |
https://en.wikipedia.org/wiki/Tangent%20lines%20to%20circles | In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circl... |
https://en.wikipedia.org/wiki/Mary%20Tiles | Mary Tiles (born 1946) is a philosopher and historian of mathematics and science. From 2006 until 2009, she served as chair of the philosophy department of the University of Hawaii at Manoa. She retired in 2009.
Life
At Bristol University, Tiles obtained her B.A. in philosophy and mathematics in 1967, and her Ph.D. i... |
https://en.wikipedia.org/wiki/Kensuke%20Fukuda | Kensuke Fukuda (福田 健介, born 24 July 1984 in Shizuoka) is a Japanese football player who plays for Ococias Kyoto AC.
Club career statistics
Updated to 23 February 2017.
References
External links
Profile at Ventforet Kofu
Profile at V-Varen Nagasaki
1984 births
Living people
Meiji University alumni
Association footb... |
https://en.wikipedia.org/wiki/Weak%20Hausdorff%20space | In mathematics, a weak Hausdorff space or weakly Hausdorff space is a topological space where the image of every continuous map from a compact Hausdorff space into the space is closed. In particular, every Hausdorff space is weak Hausdorff. As a separation property, it is stronger than T1, which is equivalent to the s... |
https://en.wikipedia.org/wiki/Kim%20Tae-yoon%20%28footballer%29 | Kim Tae-yoon (; born 25 July 1986) is a retired South Korean football defender.
Career statistics
Honors
Club
Seongnam Ilhwa Chunma
2010 AFC Champions League Winner
2011 FA Cup Winner
External links
Kim Tae-youn at Seongnam FC
1986 births
Living people
Men's association football defenders
South Korean men's foo... |
https://en.wikipedia.org/wiki/Ma%20Chul-jun | Ma Chul-jun (; born 16 November 1980) is a South Korean former footballer and manager.
Career statistics
External links
1980 births
Living people
Men's association football defenders
South Korean men's footballers
Goyang Zaicro FC players
Jeju United FC players
Gimcheon Sangmu FC players
Jeonbuk Hyundai Motors playe... |
https://en.wikipedia.org/wiki/Nam%20Ik-kyung | Nam Ik-Kyung (; born 26 January 1983) is a South Korean retired football player. In March 2009 he signed a tryout agreement with Finnish team JJK.
Career statistics
As of 28 February 2011 (UTC)
References
External links
Tilastohistoria
1983 births
Living people
Men's association football forwards
South Korean m... |
https://en.wikipedia.org/wiki/Heo%20Jae-won | Heo Jae-won (Hangul: 허재원; Hanja: 許宰源; born 1 July 1984) is a South Korean football player who last played for Jeonnam Dragons.
Career statistics
As of end of 2011 season
References
External links
1984 births
Living people
Men's association football defenders
South Korean men's footballers
Suwon Samsung Blue... |
https://en.wikipedia.org/wiki/Choi%20Byung-do | Choi Byung-do (; born 18 January 1984) is a South Korean football defender.
Career statistics
References
External links
1984 births
Living people
Men's association football defenders
South Korean men's footballers
Incheon United FC players
Gimcheon Sangmu FC players
Goyang Zaicro FC players
Ulsan Hyundai Mipo Docky... |
https://en.wikipedia.org/wiki/Shin%20Soo-jin | Shin Soo-Jin (born October 26, 1982) is a South Korean football player who is currently a free agent.
He formerly played for Gwangju Sangmu and Busan I'Park in the K-League.
Career statistics
As of end of 2008 season
References
Korean FA Cup match result
1982 births
Living people
Men's association football defen... |
https://en.wikipedia.org/wiki/Lee%20Kwang-hyun | Lee Kwang-Hyun (born 18 July 1981) is a South Korean football player who currently plays with Penang FA in Malaysia Premier League.
Career statistics
References
Korean FA Cup match result
ifball.com
Lee Kwang-Hyun at footballmalaysia.com
1981 births
Living people
Men's association football defenders
South Korean m... |
https://en.wikipedia.org/wiki/Cha%20Keon-myung | Cha Keon-Myung (born December 26, 1981) is a South Korean football player who plays for Jeju United FC. He has also played for Suwon Samsung Bluewings and Gwangju Sangmu.
Career statistics
As of end of 2008 season
References
K-League player record
Korean FA Cup match result
1981 births
Living people
Men's associ... |
https://en.wikipedia.org/wiki/Lee%20Hyun-min | Lee Hyun-Min (born July 9, 1984) is a South Korean football player. (formerly Ulsan Hyundai FC and Gwangju Sangmu FC).
Career statistics
As of end of 2009 season
See also
Football in South Korea
List of football clubs in South Korea
References
1984 births
Living people
Men's association football defenders
South Ko... |
https://en.wikipedia.org/wiki/Lee%20Wan%20%28footballer%29 | Lee Wan (; born 3 May 1984) is a South Korean football defender, who plays for Gangwon FC in K League Challenge.
Club career statistics
External links
1984 births
Living people
Men's association football defenders
South Korean men's footballers
Jeonnam Dragons players
Gimcheon Sangmu FC players
Ulsan Hyundai FC pl... |
https://en.wikipedia.org/wiki/Lee%20Su-hwan%20%28footballer%29 | Lee Su-hwan (born March 3, 1984) is a South Korean football player who currently plays for Cheonan City FC.
Career statistics
As of 30 August 2009
References
K League player record
Korean FA Cup match result
1984 births
Living people
Men's association football midfielders
South Korean men's footballers
Pohang Ste... |
https://en.wikipedia.org/wiki/Shin%20Dong-keun | Shin Dong-keun (; born 15 February 1981) is a South Korean football midfielder.
Club career statistics
External links
1981 births
Living people
Men's association football midfielders
South Korean men's footballers
Seongnam FC players
Gimcheon Sangmu FC players
K League 1 players
Korea National League players |
https://en.wikipedia.org/wiki/Han%20Tae-you | Han Tae-you (born March 30, 1981) is a South Korean football player.
Career statistics
''As of 24 July 2014
Honors
Club
FC Seoul
K League
Winners (1): 2010, 2012
League Cup
Winners (1): 2010
References
1981 births
Living people
Men's association football midfielders
South Korean men's footballers
South Korea men... |
https://en.wikipedia.org/wiki/Han%20Seol | Han Seol (born July 15, 1983) is a South Korean football player who since November 2008 has played for Busan I'Park. (formerly Gwangju Sangmu)
Career statistics
As of end of 2008 season
References
Korean FA Cup match result
1983 births
Living people
Men's association football midfielders
South Korean men's footba... |
https://en.wikipedia.org/wiki/Baek%20Joo-hyun | Baek Joo-Hyun (born February 9, 1984) is a South Korea football player who since November 2008 has played for Suwon Samsung Bluewings.
Career statistics
As of end of 2008 season
References
K-League player record
Korean FA Cup match result
Suwon Samsung Bluewings players
Gimcheon Sangmu FC players
K League 1 playe... |
https://en.wikipedia.org/wiki/Kim%20Myung-joong | Kim Myung-Joong (Hangul: 김명중; born 6 February 1985) is a South Korea football winger, who plays for Gangwon FC in K-League.
Career statistics
References
External links
1985 births
Living people
Men's association football midfielders
South Korean men's footballers
Pohang Steelers players
Gimcheon Sangmu FC playe... |
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