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https://en.wikipedia.org/wiki/Hasse%E2%80%93Witt%20matrix | In mathematics, the Hasse–Witt matrix H of a non-singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping (p-th power mapping where F has q elements, q a power of the prime number p) with respect to a basis for the differentials of the first kind. It is a g × g matrix where C has genus g... |
https://en.wikipedia.org/wiki/Supersingular%20elliptic%20curve | In algebraic geometry, supersingular elliptic curves form a certain class of elliptic curves over a field of characteristic p > 0 with unusually large endomorphism rings. Elliptic curves over such fields which are not supersingular are called ordinary and these two classes of elliptic curves behave fundamentally differ... |
https://en.wikipedia.org/wiki/Hasse%20invariant | In mathematics, Hasse invariant may refer to:
Hasse invariant of an algebra
Hasse invariant of an elliptic curve
Hasse invariant of a quadratic form |
https://en.wikipedia.org/wiki/Hasse%20invariant%20of%20a%20quadratic%20form | In mathematics, the Hasse invariant (or Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K). The name "Hasse–Witt" comes from Helmut Hasse and Ernst Witt.
The quadratic form Q may be taken as a diagonal form
Σ aixi2.
Its invariant is then defined as the product of the ... |
https://en.wikipedia.org/wiki/Diagonal%20form | In mathematics, a diagonal form is an algebraic form (homogeneous polynomial) without cross-terms involving different indeterminates. That is, it is
for some given degree m.
Such forms F, and the hypersurfaces F = 0 they define in projective space, are very special in geometric terms, with many symmetries. They also ... |
https://en.wikipedia.org/wiki/Enriques%E2%80%93Kodaira%20classification | In mathematics, the Enriques–Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli spaces are well understood, but for the class of surfaces of general type t... |
https://en.wikipedia.org/wiki/Small%20stellated%20dodecahedron | In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.
It shares the same vertex arrangement as the convex r... |
https://en.wikipedia.org/wiki/Great%20stellated%20dodecahedron | In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {,3}. It is one of four nonconvex regular polyhedra.
It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.
It shares its vertex arrangement, although not its vertex figure o... |
https://en.wikipedia.org/wiki/Great%20icosahedron | In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol and Coxeter-Dynkin diagram of . It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.
The great icosahedron can be const... |
https://en.wikipedia.org/wiki/Fuzzy%20sphere | In mathematics, the fuzzy sphere is one of the simplest and most canonical examples of non-commutative geometry. Ordinarily, the functions defined on a sphere form a commuting algebra. A fuzzy sphere differs from an ordinary sphere because the algebra of functions on it is not commutative. It is generated by spherical ... |
https://en.wikipedia.org/wiki/Josif%20Shtokalo | Josif Zakharovich Shtokalo (; November 16, 1897 – January 5, 1987) was a famous Ukrainian mathematician. Shtokalo worked mainly in the areas of differential equations, operational calculus and the history of mathematics.
Investigation of the Stability of Lindstedt's Equation Using Shtokalo’s Method by Samuel Kohn cont... |
https://en.wikipedia.org/wiki/Zero%20point | Zero point may refer to:
The hypocenter of a nuclear explosion
Origin (mathematics), a fixed point of reference for a coordinate system
Zero Point (film), an Estonian film
Zero point (photometry), a calibration mechanism for magnitude in astronomy
Zero Point (South Georgia), a point in Possession Bay, South Georgia
Ze... |
https://en.wikipedia.org/wiki/Mikhail%20Kravchuk | Mykhailo Pylypovych Kravchuk, also Krawtchouk () (September 27, 1892 – March 9, 1942), was a Soviet Ukrainian mathematician and the author of around 180 articles on mathematics.
He primarily wrote papers on differential equations and integral equations, studying both their theory and applications. His two-volume monog... |
https://en.wikipedia.org/wiki/Ciprian%20Manolescu | Ciprian Manolescu (born December 24, 1978) is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University.
Biography
Manolescu completed his first eight classes at School no. 11 Mihai Eminescu and his s... |
https://en.wikipedia.org/wiki/Novikov%20conjecture | The Novikov conjecture is one of the most important unsolved problems in topology. It is named for Sergei Novikov who originally posed the conjecture in 1965.
The Novikov conjecture concerns the homotopy invariance of certain polynomials in the Pontryagin classes of a manifold, arising from the fundamental group. Acc... |
https://en.wikipedia.org/wiki/Solution | Solution may refer to:
Solution (chemistry), a mixture where one substance is dissolved in another
Solution (equation), in mathematics
Numerical solution, in numerical analysis, approximate solutions within specified error bounds
Solution, in problem solving
Solution, in solution selling
Other uses
V-STOL Solut... |
https://en.wikipedia.org/wiki/Weil%27s%20conjecture%20on%20Tamagawa%20numbers | In mathematics, the Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number of a simply connected simple algebraic group defined over a number field is 1. In this case, simply connected means "not having a proper algebraic covering" in the algebraic group theory sense, which is not always the top... |
https://en.wikipedia.org/wiki/List%20of%20eponyms%20of%20special%20functions | This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of the theory (but not intended to include every mathematical eponym). Named symmetric functions, and other special polynomials, are included.
A
Nie... |
https://en.wikipedia.org/wiki/Whittaker%20function | In mathematics, a Whittaker function is a special solution of Whittaker's equation, a modified form of the confluent hypergeometric equation introduced by to make the formulas involving the solutions more symmetric. More generally, introduced Whittaker functions of reductive groups over local fields, where the functi... |
https://en.wikipedia.org/wiki/Spatial%20frequency | In mathematics, physics, and engineering, spatial frequency is a characteristic of any structure that is periodic across position in space. The spatial frequency is a measure of how often sinusoidal components (as determined by the Fourier transform) of the structure repeat per unit of distance.
The SI unit of spatia... |
https://en.wikipedia.org/wiki/Point%20groups%20in%20two%20dimensions | In geometry, a two-dimensional point group or rosette group is a group of geometric symmetries (isometries) that keep at least one point fixed in a plane. Every such group is a subgroup of the orthogonal group O(2), including O(2) itself. Its elements are rotations and reflections, and every such group containing only ... |
https://en.wikipedia.org/wiki/Berezinian | In mathematics and theoretical physics, the Berezinian or superdeterminant is a generalization of the determinant to the case of supermatrices. The name is for Felix Berezin. The Berezinian plays a role analogous to the determinant when considering coordinate changes for integration on a supermanifold.
Definition
The ... |
https://en.wikipedia.org/wiki/Harvey%20Friedman |
Harvey Friedman (born 23 September 1948) is an American mathematical logician at Ohio State University in Columbus, Ohio. He has worked on reverse mathematics, a project intended to derive the axioms of mathematics from the theorems considered to be necessary. In recent years, this has advanced to a study of Boolean ... |
https://en.wikipedia.org/wiki/Torsion%20of%20a%20curve | In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differe... |
https://en.wikipedia.org/wiki/Torsion%20%28algebra%29 | In mathematics, specifically in ring theory, a torsion element is an element of a module that yields zero when multiplied by some non-zero-divisor of the ring. The torsion submodule of a module is the submodule formed by the torsion elements. A torsion module is a module that equals its torsion submodule. A module is t... |
https://en.wikipedia.org/wiki/List%20of%20topology%20topics | In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing.
A topological space is a set endowed with a structure, called a topology, which... |
https://en.wikipedia.org/wiki/Douglas%20Wiens | Douglas Paul Wiens is a Canadian statistician; he is a professor in the Department of Mathematical and Statistical Sciences at the University of Alberta.
Wiens earned a B.Sc. in mathematics (1972), two master's degrees in mathematical logic (1974) and statistics (1979), and a Ph.D. in statistics (1982), all from the U... |
https://en.wikipedia.org/wiki/Daihachiro%20Sato | was a Japanese mathematician who was awarded the Lester R. Ford Award in 1976 for his work in number theory, specifically on his work in the Diophantine representation of prime numbers. His doctoral supervisor at the University of California, Los Angeles was Ernst G. Straus.
Biography
Sato was an only child born in ... |
https://en.wikipedia.org/wiki/International%20Mathematics%20Competition | The International Mathematics Competition (IMC) for University Students is an annual mathematics competition open to all undergraduate students of mathematics. Participating students are expected to be at most twenty three years of age at the time of the IMC. The IMC is primarily a competition for individuals, although... |
https://en.wikipedia.org/wiki/Moduli%20scheme | In mathematics, a moduli scheme is a moduli space that exists in the category of schemes developed by Alexander Grothendieck. Some important moduli problems of algebraic geometry can be satisfactorily solved by means of scheme theory alone, while others require some extension of the 'geometric object' concept (algebrai... |
https://en.wikipedia.org/wiki/Generic%20point | In algebraic geometry, a generic point P of an algebraic variety X is a point in a general position, at which all generic properties are true, a generic property being a property which is true for almost every point.
In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimen... |
https://en.wikipedia.org/wiki/Half%20range%20Fourier%20series | In mathematics, a half range Fourier series is a Fourier series defined on an interval instead of the more common , with the implication that the analyzed function should be extended to as either an even (f(-x)=f(x)) or odd function (f(-x)=-f(x)). This allows the expansion of the function in a series solely of sines... |
https://en.wikipedia.org/wiki/Puma%20language | Puma (Puma: पुमा Pumā) is a Kiranti language spoken by about 4,310 people (Central Bureau of Statistics report 2001) in Sagarmatha Zone, Nepal. The actual population may be somewhat higher. The same term ‘Puma’ refers both to the people and the language they speak [Sharma 2014].
The Himalayan Languages Project has pro... |
https://en.wikipedia.org/wiki/Gibbs%20state | In probability theory and statistical mechanics, a Gibbs state is an equilibrium probability distribution which remains invariant under future evolution of the system. For example, a stationary or steady-state distribution of a Markov chain, such as that achieved by running a Markov chain Monte Carlo iteration for a s... |
https://en.wikipedia.org/wiki/Gibbs%20algorithm | In statistical mechanics, the Gibbs algorithm, introduced by J. Willard Gibbs in 1902, is a criterion for choosing a probability distribution for the statistical ensemble of microstates of a thermodynamic system by minimizing the average log probability
subject to the probability distribution satisfying a set of cons... |
https://en.wikipedia.org/wiki/Moishezon%20manifold | In mathematics, a Moishezon manifold is a compact complex manifold such that the field of meromorphic functions on each component has transcendence degree equal the complex dimension of the component:
Complex algebraic varieties have this property, but the converse is not true: Hironaka's example gives a smooth 3-di... |
https://en.wikipedia.org/wiki/Kelly%20criterion | In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a bet. The Kelly bet size is found by maximizing the expected value of the logarithm of wealth, which is equivalent to maximizing the expected geometric growth rate. It assumes that the expected returns are known and is ... |
https://en.wikipedia.org/wiki/Divergence%20%28disambiguation%29 | Divergence is a mathematical function that associates a scalar with every point of a vector field.
Divergence, divergent, or variants of the word, may also refer to:
Mathematics
Divergence (computer science), a computation which does not terminate (or terminates in an exceptional state)
Divergence, the defining pr... |
https://en.wikipedia.org/wiki/Fredholm%20alternative | In mathematics, the Fredholm alternative, named after Ivar Fredholm, is one of Fredholm's theorems and is a result in Fredholm theory. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators. Part of the result states that a non-zero co... |
https://en.wikipedia.org/wiki/Urdaneta%20Municipality%2C%20Miranda | Urdaneta is one of the 21 municipalities (municipios) that makes up the Venezuelan state of Miranda and, according to a 2016 population estimate by the National Institute of Statistics of Venezuela, the municipality has a population of 167,768. The town of Cúa is the municipal seat of the Urdaneta Municipality. The mu... |
https://en.wikipedia.org/wiki/Urdaneta%20Municipality%2C%20Aragua | Urdaneta is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 21,271. The town of Barbacoas is the shire town of the Urdaneta Municipality.
Name
The municipa... |
https://en.wikipedia.org/wiki/Kodaira%27s%20classification | In mathematics, Kodaira's classification is either
The Enriques–Kodaira classification, a classification of complex surfaces, or
Kodaira's classification of singular fibers, which classifies the possible fibers of an elliptic fibration. |
https://en.wikipedia.org/wiki/Bol%C3%ADvar%20Municipality%2C%20Aragua | Bolívar Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 38,047. The town of San Mateo is the shire town of the Bolívar Municipality.
Name
... |
https://en.wikipedia.org/wiki/Camatagua%20Municipality | The Camatagua Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 16,627. The town of Camatagua is the shire town of the Camatagua Municipality... |
https://en.wikipedia.org/wiki/Libertador%20Municipality%2C%20Aragua | The Libertador Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 114,355. The town of Palo Negro is the municipal seat of the Libertador Munic... |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Rafael%20Revenga%20Municipality | The José Rafael Revenga Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 48,800. The town of El Consejo is the shire town of the José Rafael ... |
https://en.wikipedia.org/wiki/Jos%C3%A9%20F%C3%A9lix%20Ribas%20Municipality%2C%20Aragua | The José Félix Ribas Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 143,501. The town of La Victoria is the shire town of the José Félix ... |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Angel%20Lamas%20Municipality | The José Angel Lamas Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 32,981. The town of Santa Cruz is the municipal seat of the José Angel ... |
https://en.wikipedia.org/wiki/Girardot%20Municipality%2C%20Aragua | The Girardot Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua. According to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 407,109. The city of Maracay is the shire town of the Girardot Municipality.
Histo... |
https://en.wikipedia.org/wiki/San%20Casimiro%20Municipality | The San Casimiro Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 25,540. The town of San Casimiro is the shire town of the San Casimiro Mun... |
https://en.wikipedia.org/wiki/San%20Sebasti%C3%A1n%20Municipality | The San Sebastián Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 23,279. The town of San Sebastián is the shire town of the San Sebastián ... |
https://en.wikipedia.org/wiki/Santiago%20Mari%C3%B1o%20Municipality | The Santiago Mariño Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 211,010. The town of Turmero is the shire town of the Santiago Mariño Mu... |
https://en.wikipedia.org/wiki/Santos%20Michelena%20Municipality | The Santos Michelena Municipality is one of the 18 municipalities (municipios) that make up the Venezuelan state of Aragua. According to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 38,574. The town of Las Tejerías is the shire town of the Santos Michelena M... |
https://en.wikipedia.org/wiki/Sucre%20Municipality%2C%20Aragua | Sucre Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 114,509. The town of Cagua is the shire town of the Sucre Municipality.
Name
The muni... |
https://en.wikipedia.org/wiki/Tovar%20Municipality%2C%20Aragua | The Tovar Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 14,161. The town of Colonia Tovar is the shire town of the Tovar Municipality.
Hi... |
https://en.wikipedia.org/wiki/Zamora%20Municipality%2C%20Aragua | Zamora Municipality is one of the 18 municipalities (municipios) that makes up the Venezuelan state of Aragua and, according to the 2011 census by the National Institute of Statistics of Venezuela, the municipality has a population of 144,759. The town of Villa de Cura is the municipal seat of the Zamora Municipality.... |
https://en.wikipedia.org/wiki/Homography | In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive. It is a bijection that maps lines to lines, and thus a collineation. In general, some collineations are not homographies, but the fundamental theorem of pr... |
https://en.wikipedia.org/wiki/Bust/waist/hip%20measurements | Bust/waist/hip measurements (informally called 'body measurements' or ′vital statistics′) are a common method of specifying clothing sizes. They match the three inflection points of the female body shape. In human body measurement, these three sizes are the circumferences of the bust, waist and hips; usually rendered a... |
https://en.wikipedia.org/wiki/Cercado%20Province%20%28Beni%29 | Cercado is a province located in northwestern Bolivia in Beni Department. It has an area of 12,276 km ² with a population estimated by the National Institute of Statistics of Bolivia for 2006 of 94,221 and a density of 7.67 people / km ². Its capital is the city of Trinidad.
Subdivision
Cercado Province is divided i... |
https://en.wikipedia.org/wiki/Cartan%27s%20criterion | In mathematics, Cartan's criterion gives conditions for a Lie algebra in characteristic 0 to be solvable, which implies a related criterion for the Lie algebra to be semisimple. It is based on the notion of the Killing form, a symmetric bilinear form on defined by the formula
where tr denotes the trace of a linear ... |
https://en.wikipedia.org/wiki/Brauer%27s%20theorem%20on%20induced%20characters | Brauer's theorem on induced characters, often known as Brauer's induction theorem, and named after Richard Brauer, is a basic result in the branch of mathematics known as character theory, within representation theory of a finite group.
Background
A precursor to Brauer's induction theorem was Artin's induction theorem... |
https://en.wikipedia.org/wiki/Three-dimensional%20space | In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, the Euclidean n-space of dimension n=3 that models physi... |
https://en.wikipedia.org/wiki/Complex%20torus | In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense (i.e. the cartesian product of some number N circles). Here N must be the even number 2n, where n is the complex dimension of M.
All such complex structures can be obtained as follo... |
https://en.wikipedia.org/wiki/Hilbert%20modular%20variety | In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is an algebraic surface obtained by taking a quotient of a product of two copies of the upper half-plane by a Hilbert modular group. More generally, a Hilbert modular variety is an algebraic variety obtained by taking a quotient of a product of mul... |
https://en.wikipedia.org/wiki/Complex%20measure | In mathematics, specifically measure theory, a complex measure generalizes the concept of measure by letting it have complex values. In other words, one allows for sets whose size (length, area, volume) is a complex number.
Definition
Formally, a complex measure on a measurable space is a complex-valued function
... |
https://en.wikipedia.org/wiki/Free%20Boolean%20algebra | In mathematics, a free Boolean algebra is a Boolean algebra with a distinguished set of elements, called generators, such that:
Each element of the Boolean algebra can be expressed as a finite combination of generators, using the Boolean operations, and
The generators are as independent as possible, in the sense that t... |
https://en.wikipedia.org/wiki/Atom%20%28measure%20theory%29 | In mathematics, more precisely in measure theory, an atom is a measurable set which has positive measure and contains no set of smaller positive measure. A measure which has no atoms is called non-atomic or atomless.
Definition
Given a measurable space and a measure on that space, a set in is called an atom if
a... |
https://en.wikipedia.org/wiki/Ski%20geometry | Ski geometry is the shape of the ski. Described in the direction of travel, the front of the ski, typically pointed or rounded, is the tip, the middle is the waist and the rear is the tail. Skis have four aspects that define their basic performance: length, width, sidecut and camber. Skis also differ in more minor ways... |
https://en.wikipedia.org/wiki/Schubert%20calculus | In mathematics, Schubert calculus is a branch of algebraic geometry introduced in the nineteenth century by Hermann Schubert, in order to solve various counting problems of projective geometry (part of enumerative geometry). It was a precursor of several more modern theories, for example characteristic classes, and in ... |
https://en.wikipedia.org/wiki/J-homomorphism | In mathematics, the J-homomorphism is a mapping from the homotopy groups of the special orthogonal groups to the homotopy groups of spheres. It was defined by , extending a construction of .
Definition
Whitehead's original homomorphism is defined geometrically, and gives a homomorphism
of abelian groups for integers ... |
https://en.wikipedia.org/wiki/Reflection%20map | Reflection map may refer to:
Reflection mapping in computer graphics
A reflection (mathematics), specifically
an element of a reflection group
an element of a Weyl group
Reflection map (logic optimization), a conventional Gray code Karnaugh map in logic optimization |
https://en.wikipedia.org/wiki/Cayley%E2%80%93Bacharach%20theorem | In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves (plane curves of degree three) in the projective plane . The original form states:
Assume that two cubics and in the projective plane meet in nine (different) points, as they do in general over an algebraically closed field. Then every cu... |
https://en.wikipedia.org/wiki/Pitch%20axis | Pitch axis may refer to:
In music
Pitch axis (music), the center about which a melody is inverted
Pitch axis theory, a musical technique used in constructing chord progressions
In mathematics and engineering
Aircraft principal axes, the axes of an airplane in flight
Yaw, pitch, and roll, a specific kind of Euler ... |
https://en.wikipedia.org/wiki/Enumerative%20geometry | In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.
History
The problem of Apollonius is one of the earliest examples of enumerative geometry. This problem asks for the number and constru... |
https://en.wikipedia.org/wiki/Pleiku%20Airport | Pleiku Airport () is a regional airport located near the city of Pleiku within Gia Lai Province in southern Vietnam.
Airlines and destinations
Statistics
History
Pleiku Airport was little more than an undeveloped air strip in December 1962 when it was designated by the Republic of Vietnam Air Force (VNAF) as Air Ba... |
https://en.wikipedia.org/wiki/363%20%28number%29 | 363 (three hundred [and] sixty-three) is the natural number following 362 and preceding 364.
In mathematics
It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (112).
363 is a deficient number and a perfect totient number.
363 is a palindromic number in bases 3, 10, 11 and 3... |
https://en.wikipedia.org/wiki/Elliptic%20surface | In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper morphism with connected fibers to an algebraic curve such that almost all fibers are smooth curves of genus 1. (Over an algebraically closed field such as the complex numbers, these fibers are elliptic curves, perha... |
https://en.wikipedia.org/wiki/ARGUS%20distribution | In physics, the ARGUS distribution, named after the particle physics experiment ARGUS, is the probability distribution of the reconstructed invariant mass of a decayed particle candidate in continuum background.
Definition
The probability density function (pdf) of the ARGUS distribution is:
for . Here and are para... |
https://en.wikipedia.org/wiki/No%20decision | A no decision (sometimes written no-decision) is one of either of two sports statistics scenarios; one in baseball and softball, and the other in boxing and related combat sports.
Baseball and softball
A starting pitcher who leaves a game without earning either a win or a loss is said to have received a no decision. ... |
https://en.wikipedia.org/wiki/Fenchel%27s%20theorem | In differential geometry, Fenchel's theorem is an inequality on the total absolute curvature of a closed smooth space curve, stating that it is always at least . Equivalently, the average curvature is at least , where is the length of the curve. The only curves of this type whose total absolute curvature equals and w... |
https://en.wikipedia.org/wiki/Fenchel%27s%20duality%20theorem | In mathematics, Fenchel's duality theorem is a result in the theory of convex functions named after Werner Fenchel.
Let ƒ be a proper convex function on Rn and let g be a proper concave function on Rn. Then, if regularity conditions are satisfied,
where ƒ * is the convex conjugate of ƒ (also referred to as the Fenche... |
https://en.wikipedia.org/wiki/Franz%20Taurinus | Franz Adolph Taurinus (15 November 1794 – 13 February 1874) was a German mathematician who is known for his work on non-Euclidean geometry.
Life
Franz Taurinus was the son of Julius Ephraim Taurinus, a court official of the Count of Erbach-Schönberg, and Luise Juliane Schweikart. He studied law in Heidelberg, Gießen... |
https://en.wikipedia.org/wiki/Clairaut%27s%20formula | Clairaut's formula may refer to:
Clairaut's equation (mathematical analysis)
Clairaut's relation (differential geometry)
Clairaut's theorem (calculus)
Clairaut's theorem (gravity) |
https://en.wikipedia.org/wiki/George%20F.%20Pinder | George Francis Pinder (born 1942) is an American environmental engineer who is Professor of Civil and Environmental Engineering with a secondary appointment in Mathematics and Statistics at the University of Vermont. He also served as a professional witness in various notable environmental cases including Love Canal an... |
https://en.wikipedia.org/wiki/Semi-differentiability | In calculus, a branch of mathematics, the notions of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability. Specifically, the function f is said to be right differentiable at a point a if, roughly speaking, a derivative can be defined as ... |
https://en.wikipedia.org/wiki/Serre%20spectral%20sequence | In mathematics, the Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fib... |
https://en.wikipedia.org/wiki/Gibbs%20measure | In mathematics, the Gibbs measure, named after Josiah Willard Gibbs, is a probability measure frequently seen in many problems of probability theory and statistical mechanics. It is a generalization of the canonical ensemble to infinite systems.
The canonical ensemble gives the probability of the system X being in sta... |
https://en.wikipedia.org/wiki/Burr%E2%80%93Erd%C5%91s%20conjecture | In mathematics, the Burr–Erdős conjecture was a problem concerning the Ramsey number of sparse graphs. The conjecture is named after Stefan Burr and Paul Erdős, and is one of many conjectures named after Erdős; it states that the Ramsey number of graphs in any sparse family of graphs should grow linearly in the number ... |
https://en.wikipedia.org/wiki/Masayoshi%20Nagata | Masayoshi Nagata (Japanese: 永田 雅宜 Nagata Masayoshi; February 9, 1927 – August 27, 2008) was a Japanese mathematician, known for his work in the field of commutative algebra.
Work
Nagata's compactification theorem shows that varieties can be embedded in complete varieties. The Chevalley–Iwahori–Nagata theorem describes... |
https://en.wikipedia.org/wiki/Seshadri%20constant | In algebraic geometry, a Seshadri constant is an invariant of an ample line bundle L at a point P on an algebraic variety. It was introduced by Demailly to measure a certain rate of growth, of the tensor powers of L, in terms of the jets of the sections of the Lk. The object was the study of the Fujita conjecture.
The... |
https://en.wikipedia.org/wiki/Nagata%E2%80%93Biran%20conjecture | In mathematics, the Nagata–Biran conjecture, named after Masayoshi Nagata and Paul Biran, is a generalisation of Nagata's conjecture on curves to arbitrary polarised surfaces.
Statement
Let X be a smooth algebraic surface and L be an ample line bundle on X of degree d. The Nagata–Biran conjecture states that for suff... |
https://en.wikipedia.org/wiki/Fujita%20conjecture | In mathematics, Fujita's conjecture is a problem in the theories of algebraic geometry and complex manifolds, unsolved . It is named after Takao Fujita, who formulated it in 1985.
Statement
In complex geometry, the conjecture states that for a positive holomorphic line bundle L on a compact complex manifold M, the li... |
https://en.wikipedia.org/wiki/Approximation%20in%20algebraic%20groups | In algebraic group theory, approximation theorems are an extension of the Chinese remainder theorem to algebraic groups G over global fields k.
History
proved strong approximation for some classical groups.
Strong approximation was established in the 1960s and 1970s, for semisimple simply-connected algebraic groups o... |
https://en.wikipedia.org/wiki/American%20Mathematical%20Association%20of%20Two-Year%20Colleges | The American Mathematical Association of Two-Year Colleges (AMATYC) is an organization dedicated to the improvement of education in the first two years of college mathematics in the United States and Canada. AMATYC hosts an annual conference, summer institutes, workshops and mentoring for teachers in and outside math, ... |
https://en.wikipedia.org/wiki/Twiddle | Twiddle or twiddling may refer to:
Twiddle (band), an American rock band
Twiddle factor, used in fast Fourier transforms in mathematics
Thumb twiddling, action of the hands
Twiddly bits, English idiom
Tilde character ( ~ ), sometimes referred to as "twiddle" or "squiggle"
Mr Twiddle, zookeeper character in Wally Gator ... |
https://en.wikipedia.org/wiki/List%20of%20complex%20and%20algebraic%20surfaces | This is a list of named algebraic surfaces, compact complex surfaces, and families thereof, sorted according to their Kodaira dimension following Enriques–Kodaira classification.
Kodaira dimension −∞
Rational surfaces
Projective plane
Quadric surfaces
Cone (geometry)
Cylinder
Ellipsoid
Hyperboloid
Paraboloid
Spher... |
https://en.wikipedia.org/wiki/A-League%20Men%20records%20and%20statistics | The A-League Men is an Australian professional league for association football clubs. At the top of the Australian soccer league system, it is the country's primary soccer competition and is contested by 12 clubs. The competition was formed in April 2004, following a number of issues including financial problems in th... |
https://en.wikipedia.org/wiki/Standard%20normal%20table | In statistics, a standard normal table, also called the unit normal table or Z table, is a mathematical table for the values of , the cumulative distribution function of the normal distribution. It is used to find the probability that a statistic is observed below, above, or between values on the standard normal distr... |
https://en.wikipedia.org/wiki/Crunode | In mathematics, a crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.
For a plane curve, defined as the locus of points , where is a smooth function of var... |
https://en.wikipedia.org/wiki/Pad%C3%A9%20approximant | In mathematics, a Padé approximant is the "best" approximation of a function near a specific point by a rational function of given order. Under this technique, the approximant's power series agrees with the power series of the function it is approximating. The technique was developed around 1890 by Henri Padé, but goes... |
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