source
stringlengths
31
168
text
stringlengths
51
3k
https://en.wikipedia.org/wiki/Rhombitetrapentagonal%20tiling
In geometry, the rhombitetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,2{4,5}. Dual tiling The dual is called the deltoidal tetrapentagonal tiling with face configuration V.4.4.4.5. Related polyhedra and tiling References John H. Conway, Heidi Burgiel, Chaim Goodman...
https://en.wikipedia.org/wiki/Truncated%20order-4%20pentagonal%20tiling
In geometry, the truncated order-4 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{5,4}. Uniform colorings A half symmetry [1+,4,5] = [5,5] coloring can be constructed with two colors of decagons. This coloring is called a truncated pentapentagonal tiling. Symmetry Ther...
https://en.wikipedia.org/wiki/Truncated%20order-5%20square%20tiling
In geometry, the truncated order-5 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{4,5}. Related polyhedra and tiling References John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations) See a...
https://en.wikipedia.org/wiki/Quantum%20carpet
In quantum mechanics, a quantum carpet is a regular art-like pattern drawn by the wave function evolution or the probability density in the space of the Cartesian product of the quantum particle position coordinate and time or in spacetime resembling carpet art. It is the result of self-interference of the wave functio...
https://en.wikipedia.org/wiki/Zeeman%20conjecture
In mathematics, the Zeeman conjecture or Zeeman's collapsibility conjecture asks whether given a finite contractible 2-dimensional CW complex , the space is collapsible. The conjecture, due to Christopher Zeeman, implies the Poincaré conjecture and the Andrews–Curtis conjecture. References Conjectures Unsolved prob...
https://en.wikipedia.org/wiki/Projection%20formula
In algebraic geometry, the projection formula states the following: For a morphism of ringed spaces, an -module and a locally free -module of finite rank, the natural maps of sheaves are isomorphisms. There is yet another projection formula in the setting of étale cohomology. See also References Theorems in a...
https://en.wikipedia.org/wiki/Village%20Statistics%2C%201945
Village Statistics, 1945 was a joint survey work prepared by the Government Office of Statistics and the Department of Lands of the British Mandate Government for the Anglo-American Committee of Inquiry on Palestine which acted in early 1946. The data were calculated as of April 1, 1945, and was later published and als...
https://en.wikipedia.org/wiki/Hypertopology
In the mathematical branch of topology, a hyperspace (or a space equipped with a hypertopology) is a topological space, which consists of the set CL(X) of all closed subsets of another topological space X, equipped with a topology so that the canonical map is a homeomorphism onto its image. As a consequence, a copy o...
https://en.wikipedia.org/wiki/Associated%20graded%20ring
In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: . Similarly, if M is a left R-module, then the associated graded module is the graded module over : . Basic definitions and properties For a ring R and ideal I, multiplication in is defined as follows: First, ...
https://en.wikipedia.org/wiki/Deviation%20of%20a%20poset
In order-theoretic mathematics, the deviation of a poset is an ordinal number measuring the complexity of a poset. A poset is also known as a partially ordered set. The deviation of a poset is used to define the Krull dimension of a module over a ring as the deviation of its poset of submodules. Definition A trivial ...
https://en.wikipedia.org/wiki/Rational%20polynomial%20coefficient
Rational Polynomial Coefficients (RPCs) provide a compact representation of a ground-to-image geometry, allowing photogrammetric processing without requiring a physical camera model, such as the pinhole camera model. "The RPC model forms the co-ordinates of the image point as ratios of the cubic polynomials in the co-...
https://en.wikipedia.org/wiki/Michael%20Hutchings%20%28mathematician%29
Michael Lounsbery Hutchings is an American mathematician, a professor of mathematics at the University of California, Berkeley. He is known for proving the double bubble conjecture on the shape of two-chambered soap bubbles, and for his work on circle-valued Morse theory and on embedded contact homology, which he defin...
https://en.wikipedia.org/wiki/Vittorio%20Francesco%20Stancari
Vittorio Francesco Stancari (1678 – 1709) was a professor of mathematics at the University of Bologna who undertook research into the measurement of sounds, and into optics and hydrostatics. Career Vittorio Francesco Stancari was born in Bologna in 1678. In 1698 he became a professor of mathematics at the University ...
https://en.wikipedia.org/wiki/Alfred%20W.%20Hales
Alfred Washington Hales (born November 30, 1938) is an American mathematician, a professor emeritus of mathematics at the University of California, Los Angeles, and one of the namesakes of the Hales–Jewett theorem. He was born in Pasadena, California, and is the older brother of R. Stanton Hales. Professional career A...
https://en.wikipedia.org/wiki/Irene%20Fonseca
Irene Maria Quintanilha Coelho da Fonseca is a Portuguese-American applied mathematician, the Kavčić-Moura University Professor of Mathematics at Carnegie Mellon University, where she directs the Center for Nonlinear Analysis. Professional career Fonseca was born in Portugal, and did her undergraduate studies at the U...
https://en.wikipedia.org/wiki/Ailana%20Fraser
Ailana Margaret Fraser is a Canadian mathematician and professor of mathematics at the University of British Columbia. She is known for her work in geometric analysis and the theory of minimal surfaces. Her research is particularly focused on extremal eigenvalue problems and sharp eigenvalue estimates for surfaces, mi...
https://en.wikipedia.org/wiki/Nima%20Sangay
Nima Sangay is a Bhutanese international footballer, currently playing for Druk Pol. He made his first appearance for the Bhutan national football team in 2005. Career statistics International goals References Bhutanese men's footballers Bhutan men's international footballers Drukpol FC players Living people 1984 ...
https://en.wikipedia.org/wiki/Gabriele%20Manfredi
Gabriele Manfredi (25 March 1681 – 13 October 1761) was an Italian mathematician who undertook important work in the field of calculus. Early years Gabriele Manfredi was born in Bologna, then in the Papal States, on 25 March 1681. He was the son of Alfonso Manfredi, a notary from Lugo, Emilia-Romagna, and Anna Maria ...
https://en.wikipedia.org/wiki/Pema%20Chophel
Pema Chophel (born 6 August 1981) is a Bhutanese international footballer, currently playing for Yeedzin. He made his first appearance for the Bhutan national football team in 2003. Career statistics International goals References 1981 births Bhutanese men's footballers Bhutan men's international footballers Transp...
https://en.wikipedia.org/wiki/Geometrothermodynamics
In physics, geometrothermodynamics (GTD) is a formalism developed in 2007 by Hernando Quevedo to describe the properties of thermodynamic systems in terms of concepts of differential geometry. Consider a thermodynamic system in the framework of classical equilibrium thermodynamics. The states of thermodynamic equilib...
https://en.wikipedia.org/wiki/Congruence%20ideal
In algebra, the congruence ideal of a surjective ring homomorphism f : B → C of commutative rings is the image under f of the annihilator of the kernel of f. It is called a congruence ideal because when B is a Hecke algebra and f is a homomorphism corresponding to a modular form, the congruence ideal describes congrue...
https://en.wikipedia.org/wiki/Divided%20domain
In algebra, a divided domain is an integral domain R in which every prime ideal satisfies . A locally divided domain is an integral domain that is a divided domain at every maximal ideal. A Prüfer domain is a basic example of a locally divided domain. Divided domains were introduced by who called them AV-domains. ...
https://en.wikipedia.org/wiki/Richard%20F.%20Bass
Richard Franklin Bass is an American mathematician, the Board of Trustees Distinguished Professor Emeritus of Mathematics at the University of Connecticut. He is known for his work in probability theory. Bass earned his Ph.D. from the University of California, Berkeley in 1977 under the supervision of Pressley Millar....
https://en.wikipedia.org/wiki/Marston%20Conder
Marston Donald Edward Conder (born 9 September 1955) is a New Zealand mathematician, a Distinguished Professor of Mathematics at Auckland University, and the former co-director of the New Zealand Institute of Mathematics and its Applications. His main research interests are in combinatorial group theory, graph theory,...
https://en.wikipedia.org/wiki/Erica%20Flapan
Erica Flapan (born August 14, 1956) is an American mathematician, the Lingurn H. Burkhead Professor of Mathematics at Pomona College. Education and career Flapan did her undergraduate studies at Hamilton College (New York), graduating in 1977, and went on to graduate studies at the University of Wisconsin–Madison, ear...
https://en.wikipedia.org/wiki/Kinley%20Dorji%20%28footballer%29
Kinley Dorji (born 30 August 1986) is a Bhutanese former footballer and current manager. He made his first appearance for the Bhutan national football team in 2008. Career statistics International goals References 1986 births Living people Bhutanese men's footballers Bhutan men's international footballers Bhutanese...
https://en.wikipedia.org/wiki/Chow%27s%20moving%20lemma
In algebraic geometry, Chow's moving lemma, proved by , states: given algebraic cycles Y, Z on a nonsingular quasi-projective variety X, there is another algebraic cycle Z' on X such that Z' is rationally equivalent to Z and Y and Z' intersect properly. The lemma is one of key ingredients in developing the intersect...
https://en.wikipedia.org/wiki/Davenport%20constant
In mathematics, the Davenport constant is an invariant of a group studied in additive combinatorics, quantifying the size of nonunique factorizations. Given a finite abelian group , is defined as the smallest number such that every sequence of elements of that length contains a non-empty subsequence adding up to 0. ...
https://en.wikipedia.org/wiki/List%20of%20things%20named%20after%20David%20Hilbert
David Hilbert (1862–1943), a mathematician, is the eponym of all of the things (and topics) listed below. Mathematics and physics Brouwer–Hilbert controversy Einstein–Hilbert action Einstein–Hilbert equations Hilbert algebra Hilbert C*-module Hilbert basis (linear programming) Hilbert class field Hilbert cube Hilbert...
https://en.wikipedia.org/wiki/McKean%E2%80%93Vlasov%20process
In probability theory, a McKean–Vlasov process is a stochastic process described by a stochastic differential equation where the coefficients of the diffusion depend on the distribution of the solution itself. The equations are a model for Vlasov equation and were first studied by Henry McKean in 1966. It is an example...
https://en.wikipedia.org/wiki/Alicia%20Molik%20career%20statistics
This is a list of the main career statistics of professional Australian tennis player Alicia Molik. Major finals Grand slam tournament finals Women's doubles: 2 finals (2 titles) Mixed doubles: 3 finals (3 runner-ups) Olympic final Singles: (bronze medal) WTA Tier I & Premier Mandatory/Premier 5 finals Singles:...
https://en.wikipedia.org/wiki/Matrix%20analytic%20method
In probability theory, the matrix analytic method is a technique to compute the stationary probability distribution of a Markov chain which has a repeating structure (after some point) and a state space which grows unboundedly in no more than one dimension. Such models are often described as M/G/1 type Markov chains be...
https://en.wikipedia.org/wiki/Order-8%20triangular%20tiling
In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {3,8}, having eight regular triangles around each vertex. Uniform colorings The half symmetry [1+,8,3] = [(4,3,3)] can be shown with alternating two colors of triangles: Symmetry From [(4,...
https://en.wikipedia.org/wiki/Snub%20trioctagonal%20tiling
In geometry, the order-3 snub octagonal tiling is a semiregular tiling of the hyperbolic plane. There are four triangles, one octagon on each vertex. It has Schläfli symbol of sr{8,3}. Images Drawn in chiral pairs, with edges missing between black triangles: Related polyhedra and tilings This semiregular tiling is ...
https://en.wikipedia.org/wiki/Prosenjit%20Ghosh
Prasenjit Ghosh (born 1 June 1990) is an Indian footballer who last played as a goalkeeper for DSK Shivajians in the I-League. Career statistics Club Statistics accurate as of 11 May 2013 References Indian men's footballers 1990 births Living people Footballers from West Bengal I-League players ONGC FC players Men'...
https://en.wikipedia.org/wiki/Fanai%20Lalmuanpuia
Fanai Lalmuanpuia (born 22 September 1989) is an Indian footballer who plays as a midfielder for ONGC F.C. in the I-League. Career statistics Club Statistics accurate as of 11 May 2013 References Indian men's footballers 1989 births Living people Footballers from Mizoram I-League players ONGC FC players Men's assoc...
https://en.wikipedia.org/wiki/S-equivalence
S-equivalence is an equivalence relation on the families of semistable vector bundles on an algebraic curve. Definition Let X be a projective curve over an algebraically closed field k. A vector bundle on X can be considered as a locally free sheaf. Every semistable locally free E on X admits a Jordan-Hölder filtrati...
https://en.wikipedia.org/wiki/Stephen%20Lichtenbaum
Stephen Lichtenbaum (1939 in Brooklyn) is an American mathematician who is working in the fields of algebraic geometry, algebraic number theory and algebraic K-theory. Lichtenbaum was an undergraduate at Harvard University (bachelor's degree "summa cum laude" in 1960), where he also obtained his Ph.D. in 1964 (Curves ...
https://en.wikipedia.org/wiki/Bona%20fide%20group
Bona fide group theory is a theoretical perspective of communication in small groups that was initially developed by Linda Putnam and Cynthia Stohl in the 1990s. Intended to provide communication theorists with a valid model of small groups on which to conduct research, this perspective focuses on the principles of com...
https://en.wikipedia.org/wiki/%C3%89l%C3%A9ments%20de%20math%C3%A9matique
Éléments de mathématique (English: Elements of Mathematics) is a series of mathematics books written by the pseudonymous French collective Nicolas Bourbaki. Begun in 1939, the series has been published in several volumes, and remains in progress. The series is noted as a large-scale, self-contained, formal treatment ...
https://en.wikipedia.org/wiki/Azan%20Al-Balushi
Azan Abbas Sabil Al-Balushi (; born 5 May 1990), commonly known as Azan Al-Balushi, is an Omani footballer who plays for Al-Nasr in Oman Professional League. Club career statistics International career Azan is part of the first team squad of the Oman national football team. He was selected for the national team for t...
https://en.wikipedia.org/wiki/Lisa%20Jeffrey
Lisa Claire Jeffrey FRSC is a Canadian mathematician, a professor of mathematics at the University of Toronto. In her research, she uses symplectic geometry to provide rigorous proofs of results in quantum field theory. Jeffrey graduated from Princeton University in 1986. She was awarded the Marshall Scholarship and o...
https://en.wikipedia.org/wiki/Chow%E2%80%93Rashevskii%20theorem
In sub-Riemannian geometry, the Chow–Rashevskii theorem (also known as Chow's theorem) asserts that any two points of a connected sub-Riemannian manifold, endowed with a bracket generating distribution, are connected by a horizontal path in the manifold. It is named after Wei-Liang Chow who proved it in 1939, and Pet...
https://en.wikipedia.org/wiki/Discrete%20Mathematics%20%26%20Theoretical%20Computer%20Science
Discrete Mathematics & Theoretical Computer Science is a peer-reviewed open access scientific journal covering discrete mathematics and theoretical computer science. It was established in 1997 by Daniel Krob (Paris Diderot University). Since 2001, the editor-in-chief is Jens Gustedt (Institut National de Recherche en I...
https://en.wikipedia.org/wiki/Itzhak%20Gilboa
Itzhak Gilboa (born February 3, 1963, in Tel Aviv) is an Israeli economist with contributions in decision theory. After obtaining his BA in Mathematics and Economics from Tel Aviv University, he earned his Ph.D. in 1987 under the supervision of David Schmeidler. He currently holds professorship positions at HEC Paris a...
https://en.wikipedia.org/wiki/Bass%20number
In mathematics, the ith Bass number of a module M over a local ring R with residue field k is the k-dimension of . More generally the Bass number of a module M over a ring R at a prime ideal p is the Bass number of the localization of M for the localization of R (with respect to the prime p). Bass numbers were introdu...
https://en.wikipedia.org/wiki/Barbara%20Keyfitz
Barbara Lee Keyfitz is a Canadian-American mathematician, the Dr. Charles Saltzer Professor of Mathematics at Ohio State University. In her research, she studies nonlinear partial differential equations and associated conservation laws. Professional career Keyfitz did her undergraduate studies at the University of Tor...
https://en.wikipedia.org/wiki/Hodge%20algebra
In mathematics, a Hodge algebra or algebra with straightening law is a commutative algebra that is a free module over some ring R, together with a given basis similar to the basis of standard monomials of the coordinate ring of a Grassmannian. Hodge algebras were introduced by , who named them after W. V. D. Hodge. Re...
https://en.wikipedia.org/wiki/Mart%C3%ADn%20Eduardo%20Z%C3%BA%C3%B1iga
Martín Eduardo Zúñiga Barrios (born 14 April 1993) is a Mexican professional footballer who plays as a forward. Career statistics Club 1FIFA Club World Cup Honours América Liga MX: Clausura 2013, Apertura 2014 CONCACAF Champions League: 2014-15 Cruz Azul Copa MX: Apertura 2018 Mexico Youth Central American and Ca...
https://en.wikipedia.org/wiki/Trioctagonal%20tiling
In geometry, the trioctagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 octagonal tiling. There are two triangles and two octagons alternating on each vertex. It has Schläfli symbol of r{8,3}. Symmetry Related polyhedra and tilings From a Wythoff construction there are ...
https://en.wikipedia.org/wiki/Truncated%20octagonal%20tiling
In geometry, the truncated octagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangle and two hexakaidecagons on each vertex. It has Schläfli symbol of t{8,3}. Dual tiling The dual tiling has face configuration V3.16.16. Related polyhedra and tilings This hyperbolic tiling is topological...
https://en.wikipedia.org/wiki/Truncated%20order-8%20triangular%20tiling
In geometry, the truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane. There are two hexagons and one octagon on each vertex. It has Schläfli symbol of t{3,8}. Uniform colors Symmetry The dual of this tiling represents the fundamental domains of *443 symmetry. It only has one subgroup ...
https://en.wikipedia.org/wiki/Rhombitrioctagonal%20tiling
In geometry, the rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one octagon, alternating between two squares. The tiling has Schläfli symbol rr{8,3}. It can be seen as constructed as a rectified trioctagonal tiling, r{8,3}, as well as a...
https://en.wikipedia.org/wiki/Order-5%20pentagonal%20tiling
In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual. Related tilings This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vert...
https://en.wikipedia.org/wiki/Truncated%20order-5%20pentagonal%20tiling
In geometry, the truncated order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{5,5}, constructed from one pentagons and two decagons around every vertex. Related tilings See also Square tiling Uniform tilings in hyperbolic plane List of regular polytopes References ...
https://en.wikipedia.org/wiki/Snub%20pentapentagonal%20tiling
In geometry, the snub pentapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,5}, constructed from two regular pentagons and three equilateral triangles around every vertex. Images Drawn in chiral pairs, with edges missing between black triangles: Symmetry A double symmetry...
https://en.wikipedia.org/wiki/Palash%20Sarkar
Palash Sarkar (born 28 September 1969) is an Indian mathematician and a professor at the Applied Statistics Unit at the Indian Statistical Institute. His main research interest is Cryptology. He was awarded in 2011 Shanti Swarup Bhatnagar Prize for Science and Technology, the highest science award in India, in the m...
https://en.wikipedia.org/wiki/Izabella%20%C5%81aba
Izabella Łaba (born 1966) is a Polish-Canadian mathematician, a professor of mathematics at the University of British Columbia. Her main research specialties are harmonic analysis, geometric measure theory, and additive combinatorics. Professional career Łaba earned a master's degree in 1986 from the University of Wro...
https://en.wikipedia.org/wiki/Jander%20%28footballer%29
Jander Ribeiro Santana (born 8 July 1988), known simply as Jander, is a Brazilian professional footballer who plays as a left back for Brazilian club Frederiquense. Career statistics Club Honours Moreirense Taça da Liga: 2016–17 Red Star Serbian SuperLiga: 2019–20 References External links 1988 births Living peo...
https://en.wikipedia.org/wiki/Not%20Mathematics
Not Mathematics is the first extended play released by the English rock band Casimir. The first video from this release was "Balancing Act", premiered on NME.com in January 2013, followed by the release of the singles "Like Whistles" and "Lucid" in February and March respectively. Track listing Release history Refer...
https://en.wikipedia.org/wiki/Profit%20model
The profit model is the linear, deterministic algebraic model used implicitly by most cost accountants. Starting with, profit equals sales minus costs, it provides a structure for modeling cost elements such as materials, losses, multi-products, learning, depreciation etc. It provides a mutable conceptual base for spre...
https://en.wikipedia.org/wiki/Lou%20Perazzoli
Lou Perazzoli is one of the initial architects for Windows NT made by Microsoft and later managed the core OS team for the first releases of Windows NT. He has a B.S in Mathematics and Computer Science (double major). He was one of the engineers which Dave Cutler took with him to Microsoft from Digital Equipment Corpor...
https://en.wikipedia.org/wiki/Arnold%20Dresden
Arnold Dresden (1882–1954) was a Dutch-American mathematician, known for his work in the calculus of variations and collegiate mathematics education. He was a president of the Mathematical Association of America and a member of the American Philosophical Society. Background Dresden was born in Amsterdam on November 23...
https://en.wikipedia.org/wiki/O.%20Timothy%20O%27Meara
Onorato Timothy O'Meara (January 29, 1928 – June 17, 2018) was an American mathematician known for his work in number theory, linear groups and quadratic forms. He was provost emeritus and professor emeritus of mathematics at the University of Notre Dame. Life O'Meara was born in South Africa and graduated from Univer...
https://en.wikipedia.org/wiki/Sean%20R.%20Garner
Sean R. Garner is a physicist currently working on a diverse suite of projects for Palo Alto Research Center (PARC), in San Francisco, CA. Garner received his BA, Mathematics and BS, Physics from University of California, Santa Cruz in 1999, and completed his PhD in physics in 2005 at Cornell University. His thesis wa...
https://en.wikipedia.org/wiki/Bivector%20%28complex%29
In mathematics, a bivector is the vector part of a biquaternion. For biquaternion , w is called the biscalar and is its bivector part. The coordinates w, x, y, z are complex numbers with imaginary unit h: A bivector may be written as the sum of real and imaginary parts: where and are vectors. Thus the bivector ...
https://en.wikipedia.org/wiki/Claude%20LeBrun
Claude R. LeBrun (born 1956) is an American mathematician who holds the position of Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in complex and differential geometry. LeBrun earned his D.Phil. (Oxford equivalen...
https://en.wikipedia.org/wiki/Moritz%20G%C3%B6ttel
Moritz Göttel (born 12 February 1993) is a German footballer who plays as a striker for SV Drochtersen/Assel. Career Statistics References External links 1993 births Living people Borussia Mönchengladbach II players SV Babelsberg 03 players VfL Bochum players VfL Bochum II players VfV 06 Hildesheim players German ...
https://en.wikipedia.org/wiki/Stadium%20%28geometry%29
A stadium is a two-dimensional geometric shape constructed of a rectangle with semicircles at a pair of opposite sides. The same shape is known also as a pill shape, discorectangle, obround, or sausage body. The shape is based on a stadium, a place used for athletics and horse racing tracks. A stadium may be constru...
https://en.wikipedia.org/wiki/Capsule%20%28geometry%29
A capsule (from Latin capsula, "small box or chest"), or stadium of revolution, is a basic three-dimensional geometric shape consisting of a cylinder with hemispherical ends. Another name for this shape is spherocylinder. It can also be referred to as an oval although the sides (either vertical or horizontal) are stra...
https://en.wikipedia.org/wiki/Angus%20Maddison%20statistics%20of%20the%20ten%20largest%20economies%20by%20GDP%20%28PPP%29
This historical list of the ten largest countries by GDP compiled by British economist Angus Maddison shows how much the membership and rankings of the world's ten largest economies has changed. Ten largest economies by GDP (PPP) Fifteen largest economies by GDP (PPP) References Lists of countries by GDP Internati...
https://en.wikipedia.org/wiki/Order-6%20hexagonal%20tiling
In geometry, the order-6 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,6} and is self-dual. Symmetry This tiling represents a hyperbolic kaleidoscope of 6 mirrors defining a regular hexagon fundamental domain. This symmetry by orbifold notation is called *333333 with 6 ord...
https://en.wikipedia.org/wiki/Truncated%20order-6%20hexagonal%20tiling
In geometry, the truncated order-6 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,6}. It can also be identically constructed as a cantic order-6 square tiling, h2{4,6} Uniform colorings By *663 symmetry, this tiling can be constructed as an omnitruncation, t{(6,6,3)}: Sym...
https://en.wikipedia.org/wiki/Snub%20hexahexagonal%20tiling
In geometry, the snub hexahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,6}. Images Drawn in chiral pairs, with edges missing between black triangles: Symmetry A higher symmetry coloring can be constructed from [6,4] symmetry as s{6,4}, . In this construction there is on...
https://en.wikipedia.org/wiki/Tadao%20Oda
(born 1940, Kyoto) is a Japanese mathematician working in the field of algebraic geometry, especially toric varieties. The field of toric varieties was developed by Demazure, Mumford, Miyake, Oda and others in the 1970s. He is also known for a book on toric varieties: Convex Bodies and Algebraic Geometry: An Introduct...
https://en.wikipedia.org/wiki/Football%20records%20and%20statistics%20in%20Northern%20Ireland
This page details football records in the Northern Ireland. League Team records Titles Most top-flight league titles: 56, Linfield Most consecutive league titles: 6, joint record: Belfast Celtic (1935–36 to 1947–48, league suspended from 1940 to 1947) Linfield (1981–82 to 1986–87) Top-flight Appearances Most sea...
https://en.wikipedia.org/wiki/Salvatore%20Torquato
Salvatore Torquato is an American theoretical scientist born in Falerna, Italy. His research work has impacted a variety of fields, including physics, chemistry, applied and pure mathematics, materials science, engineering, and biological physics. He is the Lewis Bernard Professor of Natural Sciences in the department...
https://en.wikipedia.org/wiki/Detlef%20Jaskowiak
Detlef Jaskowiak (born 15 February 1959) is a retired German football defender. Career Statistics References External links 1959 births Living people German men's footballers VfL Bochum players 1. FC Bocholt players 2. Bundesliga players Men's association football defenders
https://en.wikipedia.org/wiki/Torsion-free%20module
In algebra, a torsion-free module is a module over a ring such that zero is the only element annihilated by a regular element (non zero-divisor) of the ring. In other words, a module is torsion free if its torsion submodule is reduced to its zero element. In integral domains the regular elements of the ring are its no...
https://en.wikipedia.org/wiki/Philip%20Rosenau
Philip Rosenau (, born 1946), is an Israeli mathematician and a poet. He is a professor at the Department of Applied Mathematics at Tel Aviv University. He introduced compactons, along with James M. Hyman. References 20th-century Israeli mathematicians 21st-century Israeli mathematicians Academic staff of Tel Aviv Un...
https://en.wikipedia.org/wiki/Winnie%20Li
Wen-Ch'ing (Winnie) Li (; born December 25, 1948) is a Taiwanese-American mathematician and a Distinguished Professor of Mathematics at Pennsylvania State University. She is a number theorist, with research focusing on the theory of automorphic forms and applications of number theory to coding theory and spectral graph...
https://en.wikipedia.org/wiki/Rota%27s%20basis%20conjecture
In linear algebra and matroid theory, Rota's basis conjecture is an unproven conjecture concerning rearrangements of bases, named after Gian-Carlo Rota. It states that, if X is either a vector space of dimension n or more generally a matroid of rank n, with n disjoint bases Bi, then it is possible to arrange the elemen...
https://en.wikipedia.org/wiki/International%20Association%20for%20Official%20Statistics
The International Association for Official Statistics (IAOS) is an association founded in 1985. It is an international non-governmental organization (NGO), which was created and developed as a specialized section of the International Statistical Institute (ISI). It is thus an Association of physical and legal persons...
https://en.wikipedia.org/wiki/Lee%20Chong%20Wei%20career%20statistics
This is a list of the main career statistics of Malaysian professional badminton player, Lee Chong Wei. To date, Lee has won a total of sixty-nine BWF singles titles including a record 42 BWF Super Series singles titles, and a record 4 BWF Super Series Finals. He is the first men's singles player to have won every BWF ...
https://en.wikipedia.org/wiki/Willi%20Rinow
Willi Ludwig August Rinow (February 28th, 1907 in Berlin – March 29th, 1979 in Greifswald) was a German mathematician who specialized in differential geometry and topology. Rinow was the son of a schoolteacher. In 1926, he attended the Humboldt University of Berlin, studying mathematics and physics under professors suc...
https://en.wikipedia.org/wiki/Ib%20Madsen
Ib Henning Madsen (born 12 April 1942, in Copenhagen) is a Danish mathematician, a professor of mathematics at the University of Copenhagen. He is known for (with Michael Weiss) proving the Mumford conjecture on the cohomology of the stable mapping class group, and for developing topological cyclic homology theory. Pr...
https://en.wikipedia.org/wiki/Grigor%20Dimitrov%20career%20statistics
This is a list of the main career statistics of Bulgarian professional tennis player, Grigor Dimitrov. To date, Dimitrov has won eight ATP singles titles including at least one title on each playing surface (hard, clay and grass). Highlights of Dimitrov's career thus far include winning the 2017 Cincinnati Masters 1000...
https://en.wikipedia.org/wiki/Ekaterina%20Makarova%20career%20statistics
This is a list of the main career statistics of former professional Russian tennis player Ekaterina Makarova. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup and Olympic Games are included in win–loss records. Singles Doubles Significant finals Grand Slam finals Doubles:...
https://en.wikipedia.org/wiki/Georg%20Lankensperger
Georg Lankensperger (also: Lankensberger), (31 March 1779 – 11 July 1847) was a German wheelwright who invented the steering mechanism that is today known as Ackermann steering geometry. He patented the invention in Germany, but his agent Rudolph Ackermann filed for the patent in the U.K. Early life Lankensperger was ...
https://en.wikipedia.org/wiki/Subordinator%20%28mathematics%29
In probability theory, a subordinator is a stochastic process that is non-negative and whose increments are stationary and independent. Subordinators are a special class of Lévy process that play an important role in the theory of local time. In this context, subordinators describe the evolution of time within another ...
https://en.wikipedia.org/wiki/2012%E2%80%9313%20US%20Ancona%201905%20season
Players Staff Head coach Massimiliano Favo Assistant coach Marco Lelli Goalkeeper coach Maurizio Carbonari Matches Serie D – Girone F Coppa Italia Serie D Championship statistics Results by round Results summary References Ancona US Ancona
https://en.wikipedia.org/wiki/Fusion%20frame
In mathematics, a fusion frame of a vector space is a natural extension of a frame. It is an additive construct of several, potentially "overlapping" frames. The motivation for this concept comes from the event that a signal can not be acquired by a single sensor alone (a constraint found by limitations of hardware or ...
https://en.wikipedia.org/wiki/Index%20of%20physics%20articles%20%28C%29
The index of physics articles is split into multiple pages due to its size. To navigate by individual letter use the table of contents below. C C*-algebra C-ROT gate C-number C-symmetry C-theorem C. B. Collins C. Bruce Tarter C. Chapin Cutler C. E. Wynn-Williams C. F. Powell C. K. Raju C. N. Yang Institute for Theor...
https://en.wikipedia.org/wiki/Index%20of%20physics%20articles%20%28K%29
The index of physics articles is split into multiple pages due to its size. To navigate by individual letter use the table of contents below. K K-65 residues K-Long K-Poincaré algebra K-Poincaré group K-Short K-edge K-factor (aerospace) K-factor (centrifugation) K-theory (physics) K. R. Ramanathan K. R. Sreenivasan ...
https://en.wikipedia.org/wiki/Drift%20plus%20penalty
In the mathematical theory of probability, the drift-plus-penalty method is used for optimization of queueing networks and other stochastic systems. The technique is for stabilizing a queueing network while also minimizing the time average of a network penalty function. It can be used to optimize performance objectiv...
https://en.wikipedia.org/wiki/Griffith%20Baley%20Price
G. Baley Price (14 March 1905, Brookhaven, Mississippi – 7 November 2006, Lawrence, Kansas) was an American mathematician and historian of American mathematics. He was a president of the Mathematical Association of America. Career After graduating with an A.B. from Mississippi College in 1925, G. B. Price went to Harv...
https://en.wikipedia.org/wiki/Cauchy%20process
In probability theory, a Cauchy process is a type of stochastic process. There are symmetric and asymmetric forms of the Cauchy process. The unspecified term "Cauchy process" is often used to refer to the symmetric Cauchy process. The Cauchy process has a number of properties: It is a Lévy process It is a stable ...
https://en.wikipedia.org/wiki/Stable%20process
In probability theory, a stable process is a type of stochastic process. It includes stochastic processes whose associated probability distributions are stable distributions. Examples of stable processes include the Wiener process, or Brownian motion, whose associated probability distribution is the normal distributio...
https://en.wikipedia.org/wiki/Jagatpura%20Ahir
Jagatpura Ahir is a village in Jalaun Tehsil of Jalaun District of Uttar Pradesh in India. Demographics India census, Jagatpura Ahir follows the same statistics as of Jalaun [Nearest Town having 2011 census statistics]. Jagatpura Ahir had a population of 1850. The Male population is 952 and female population is 898....
https://en.wikipedia.org/wiki/Joyce%20McLaughlin
Joyce Rogers McLaughlin (8 October 1939 – 23 October 2017) was an American mathematician, the Ford Foundation Professor of Mathematics at Rensselaer Polytechnic Institute. Her research interests were primarily in applied mathematics, and in particular in inverse problems. Academic career McLaughlin did her undergradua...