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https://en.wikipedia.org/wiki/Order%20of%20operations
In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operators. The rank of an operator is called its precedence,...
https://en.wikipedia.org/wiki/Packing%20problems
Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packagin...
https://en.wikipedia.org/wiki/Order%20topology
In mathematics, an order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order topology on X is generated by the subbase of "open rays" for all a, b...
https://en.wikipedia.org/wiki/Square%20number
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The usual notation for the square of a number is not the product , but the equiva...
https://en.wikipedia.org/wiki/ZC
ZC, Zc, or zC may refer to: ZC, in set theory, a formal system with Zermelo's first five axioms plus the axiom of choice Zadoff–Chu sequence, in mathematics, a certain complex-valued sequence with the CAZAC property Zangger Committee, a committee on nuclear proliferation Zeptocoulomb, another SI unit of electric ...
https://en.wikipedia.org/wiki/Polygonal%20number
In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots are thought of as alphas (units). These are one type of 2-dimensional figurate numbers. Definition and examples The number 10 for example, can be arranged as a triangle (see triangular ...
https://en.wikipedia.org/wiki/Umbral%20calculus
In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and certain shadowy techniques used to "prove" them. These techniques were introduced by John Blissard and are sometimes called Blissard's symbolic method. They are often attr...
https://en.wikipedia.org/wiki/Linear%20form
In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers). If is a vector space over a field , the set of all linear functionals from to is itself a vector space over with...
https://en.wikipedia.org/wiki/WMD
WMD, or wmd, may refer to: Science and technology Weapon of mass destruction Weighted mean in statistics Wiggle-match-dating or wiggle matching in carbon dating World Meteorological Day Transportation WMD, the National Rail code for Wymondham railway station in Norfolk, UK WMD, the station code for Westmead r...
https://en.wikipedia.org/wiki/Hate%20Crime%20Statistics%20Act
The Hate Crime Statistics Act, 28 U.S.C. § 534 (HCSA), passed in 1990 and modified in 2009 by the Matthew Shepard and James Byrd, Jr. Hate Crimes Prevention Act, requires the Attorney General to collect data on crimes committed because of the victim's race, religion, disability, sexual orientation, or ethnicity. The b...
https://en.wikipedia.org/wiki/List%20of%20cities%20and%20towns%20in%20Albania
This is a list of cities and towns in Albania categorised by municipality, county and population, according to the criteria used by the Institute of Statistics (INSTAT). As of 2014, there were 74 cities classified as urban areas and 2,972 villages as rural areas in Albania. The legislation of Albania provides no offici...
https://en.wikipedia.org/wiki/List%20of%20cities%20and%20largest%20towns%20in%20Bolivia
According to the National Institute of Statistics of Bolivia (INE), a city is classified as an area where the city limits are identifiable, and its local government is recognized. Bolivia has 1,384 cities. As of 21 November 2012, the date of the most-recent national census, 53 cities have a population of at least 10,00...
https://en.wikipedia.org/wiki/List%20of%20cities%20in%20Chile
This is a list of cities in Chile. A city is defined by Chile's National Statistics Institute (INE) as an "urban entity" with more than 5,000 inhabitants. This list is based on a June 2005 report by the INE based on the 2002 census which registered 239 cities across the country. Complete list of cities by region Lar...
https://en.wikipedia.org/wiki/List%20of%20cities%20in%20Mexico
This is a list of the Top 100 cities in Mexico by fixed population, according to the 2020 Mexican National Census. According to Mexico's National Institute of Statistics and Geography (INEGI), a locality is "any place settled with one or more dwellings, which may or may not be inhabited, and which is known by a name g...
https://en.wikipedia.org/wiki/Replication
Replication may refer to: Science Replication (scientific method), one of the main principles of the scientific method, a.k.a. reproducibility Replication (statistics), the repetition of a test or complete experiment Replication crisis Self-replication, the process in which an entity (a cell, virus, program, etc.)...
https://en.wikipedia.org/wiki/Equilateral%20polygon
In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need to also be equiangular (have all angles equal), but if it does then it is a regular polygon. If the number of sides is at least five, an equilateral polygon does not...
https://en.wikipedia.org/wiki/Harmonic%20number
In mathematics, the -th harmonic number is the sum of the reciprocals of the first natural numbers: Starting from , the sequence of harmonic numbers begins: Harmonic numbers are related to the harmonic mean in that the -th harmonic number is also times the reciprocal of the harmonic mean of the first positive inte...
https://en.wikipedia.org/wiki/Repunit
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for "repeated unit" and was coined in 1966 by Albert H. Beiler in his book Recreations in the Theory of Numbers. A repunit prime is a repunit that is also a prime ...
https://en.wikipedia.org/wiki/111%20%28number%29
111 (One hundred [and] eleven) is the natural number following 110 and preceding 112. In mathematics 111 is a perfect totient number. 111 is R3 or the second repunit, a number like 11, 111, or 1111 that consists of repeated units, or 1's. It equals 3 × 37, therefore all triplets (numbers like 222 or 777) in base ten ...
https://en.wikipedia.org/wiki/Permanent%20%28mathematics%29
In linear algebra, the permanent of a square matrix is a function of the matrix similar to the determinant. The permanent, as well as the determinant, is a polynomial in the entries of the matrix. Both are special cases of a more general function of a matrix called the immanant. Definition The permanent of an matrix...
https://en.wikipedia.org/wiki/Hilbert%20cube
In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology. Furthermore, many interesting topological spaces can be embedded in the Hilbert cube; that is, can be viewed as subspaces of the Hilbert cube (see below). Definition The ...
https://en.wikipedia.org/wiki/Catalan%20number
In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Catalan. The nth Catalan number can be expressed directly in terms of the centra...
https://en.wikipedia.org/wiki/Repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of "repeated" and "digit". Examples are 11, 666, 4444, and 999999. All repdigits are palindromic number...
https://en.wikipedia.org/wiki/222%20%28number%29
222 (two hundred [and] twenty-two) is the natural number following 221 and preceding 223. In mathematics It is a decimal repdigit and a strobogrammatic number (meaning that it looks the same turned upside down on a calculator display). It is one of the numbers whose digit sum in decimal is the same as it is in binary...
https://en.wikipedia.org/wiki/Invertible%20matrix
In linear algebra, an -by- square matrix is called invertible (also nonsingular, nondegenerate or —rarely used— regular), if there exists an -by- square matrix such thatwhere denotes the -by- identity matrix and the multiplication used is ordinary matrix multiplication. If this is the case, then the matrix is uniqu...
https://en.wikipedia.org/wiki/Probability%20vector
In mathematics and statistics, a probability vector or stochastic vector is a vector with non-negative entries that add up to one. The positions (indices) of a probability vector represent the possible outcomes of a discrete random variable, and the vector gives us the probability mass function of that random variable...
https://en.wikipedia.org/wiki/Stochastic%20matrix
In mathematics, a stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability. It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first develo...
https://en.wikipedia.org/wiki/Conjugate%20transpose
In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an complex matrix is an matrix obtained by transposing and applying complex conjugate on each entry (the complex conjugate of being , for real numbers and ). It is often denoted as or or or (often in physics) . For real matrice...
https://en.wikipedia.org/wiki/Complex%20plane
In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the -axis, called the real axis, is formed by the real numbers, and the -axis, called the imaginary axis, is formed by the imaginary numbers. The complex plane allows for a geometric interpretatio...
https://en.wikipedia.org/wiki/Domain%20relational%20calculus
In computer science, domain relational calculus (DRC) is a calculus that was introduced by Michel Lacroix and Alain Pirotte as a declarative database query language for the relational data model. In DRC, queries have the form: where each Xi is either a domain variable or constant, and denotes a DRC formula. The res...
https://en.wikipedia.org/wiki/Kettering%20University
Kettering University is a private university in Flint, Michigan. It offers bachelor of science and master’s degrees in STEM (science, technology, engineering, and mathematics) and business fields. Kettering University undergraduate students are required to complete at least five co-op terms to graduate. Students gain p...
https://en.wikipedia.org/wiki/Characteristic%20polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic polynomial of an endomorphism of a finite-dimensional vector spac...
https://en.wikipedia.org/wiki/Economics%20and%20Statistics%20Administration
The Economics and Statistics Administration (ESA) was an agency within the United States Department of Commerce (DOC) that analyzed, disseminated, and reported on national economic and demographic data. Its three primary missions were the following: Release and disseminate U.S. National Economic Indicators. Oversee ...
https://en.wikipedia.org/wiki/Bureau%20of%20Economic%20Analysis
The Bureau of Economic Analysis (BEA) of the United States Department of Commerce is a U.S. government agency that provides official macroeconomic and industry statistics, most notably reports about the gross domestic product (GDP) of the United States and its various units—states, cities/towns/townships/villages/count...
https://en.wikipedia.org/wiki/Characteristic%20equation
Characteristic equation may refer to: Characteristic equation (calculus), used to solve linear differential equations Characteristic equation, the equation obtained by equating to zero the characteristic polynomial of a matrix or of a linear mapping Method of characteristics, a technique for solving partial differen...
https://en.wikipedia.org/wiki/Sheffer%20sequence
In mathematics, a Sheffer sequence or poweroid is a polynomial sequence, i.e., a sequence of polynomials in which the index of each polynomial equals its degree, satisfying conditions related to the umbral calculus in combinatorics. They are named for Isador M. Sheffer. Definition Fix a polynomial sequence (pn). Defi...
https://en.wikipedia.org/wiki/Golden%20spiral
In geometry, a golden spiral is a logarithmic spiral whose growth factor is , the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of for every quarter turn it makes. Approximations of the golden spiral There are several comparable spirals that approximate, but do not exact...
https://en.wikipedia.org/wiki/Golden%20rectangle
In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi), where is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square from an end are golden rectangles as well. C...
https://en.wikipedia.org/wiki/Jacques%20Tits
Jacques Tits () (12 August 1930 – 5 December 2021) was a Belgian-born French mathematician who worked on group theory and incidence geometry. He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric. Life and career Tits was born in Uccle to Léon Tits, a professor, and Lousia André. Jac...
https://en.wikipedia.org/wiki/Mathematical%20theory%20%28disambiguation%29
The term mathematical theory may refer to: Theory (mathematical logic), a collection of sentences in a formal language. Mathematical theory, a branch of mathematics See also Theory
https://en.wikipedia.org/wiki/Levinson%20recursion
Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz matrix. The algorithm runs in time, which is a strong improvement over Gauss–Jordan elimination, which runs in Θ(n3). The Levinson–Durbin algorithm was proposed fi...
https://en.wikipedia.org/wiki/Set-builder%20notation
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy. Defining sets by properties is also known as set comprehension, set abstraction or a...
https://en.wikipedia.org/wiki/Mikoyan-Gurevich%20MiG-23
The Mikoyan-Gurevich MiG-23 (; NATO reporting name: Flogger) is a variable-geometry fighter aircraft, designed by the Mikoyan-Gurevich design bureau in the Soviet Union. It is a third-generation jet fighter, alongside similar Soviet aircraft such as the Su-17 "Fitter". It was the first Soviet fighter to field a look-do...
https://en.wikipedia.org/wiki/Geometrization%20conjecture
In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. It is an analogue of the uniformization theorem for two-dimensional surfaces, which states that every simply connected Riemann surface ca...
https://en.wikipedia.org/wiki/Hsiang%E2%80%93Lawson%27s%20conjecture
In mathematics, Lawson's conjecture states that the Clifford torus is the only minimally embedded torus in the 3-sphere S3. The conjecture was featured by the Australian Mathematical Society Gazette as part of the Millennium Problems series. In March 2012, Simon Brendle gave a proof of this conjecture, based on maximu...
https://en.wikipedia.org/wiki/Differential%20form
In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For instance, the expressio...
https://en.wikipedia.org/wiki/Multilinear%20map
In linear algebra, a multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is a function where () and are vector spaces (or modules over a commutative ring), with the following property: for each , if all of the variables but are held const...
https://en.wikipedia.org/wiki/De%20Rham%20cohomology
In mathematics, de Rham cohomology (named after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes. It...
https://en.wikipedia.org/wiki/Right-hand%20rule
In mathematics and physics, the right-hand rule is a convention and a mnemonic for deciding the orientation of axes in three-dimensional space. It is a convenient method for determining the direction of the cross product of two vectors. There are two ways of applying the right hand rule. The first one is conventiona...
https://en.wikipedia.org/wiki/Exterior%20algebra
In mathematics, the exterior algebra of a vector space is a graded associative algebra Elements in ∧nV are called -multivectors, and are given by a sum of -blades ("products" of elements of ); it is an abstraction of oriented lengths, areas, volumes and more generally oriented n-volumes for n ≥ 0. The algebra pro...
https://en.wikipedia.org/wiki/Cotangent%20bundle
In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. It may be described also as the dual bundle to the tangent bundle. This may be generalized to categories with more structure than smooth manifolds,...
https://en.wikipedia.org/wiki/Pearson%20correlation%20coefficient
In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such ...
https://en.wikipedia.org/wiki/Standard%20score
In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative stand...
https://en.wikipedia.org/wiki/Mensuration
Mensuration may refer to: Measurement Theory of measurement Mensuration (mathematics), a branch of mathematics that deals with measurement of various parameters of geometric figures and many more Forest mensuration, a branch of forestry that deals with measurements of forest stand Mensural notation of music Mensuratio...
https://en.wikipedia.org/wiki/Euler%27s%20four-square%20identity
In mathematics, Euler's four-square identity says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares. Algebraic identity For any pair of quadruples from a commutative ring, the following expressions are equal: Euler wrote about this identity in a letter dated May ...
https://en.wikipedia.org/wiki/Edmund%20Landau
Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis. Biography Edmund Landau was born to a Jewish family in Berlin. His father was Leopold Landau, a gynecologist, and his mother was Johanna Jacoby. Landau studied ma...
https://en.wikipedia.org/wiki/Multivalued%20function
In mathematics, a multivalued function is a set-valued function with additional properties depending on context. The terms multifunction and many-valued function are sometimes also used. A multivalued function of sets f : X → Y is a subset Write f(x) for the set of those y ∈ Y with (x,y) ∈ Γf. If f is an ordinary ...
https://en.wikipedia.org/wiki/Linnik%27s%20theorem
Linnik's theorem in analytic number theory answers a natural question after Dirichlet's theorem on arithmetic progressions. It asserts that there exist positive c and L such that, if we denote p(a,d) the least prime in the arithmetic progression where n runs through the positive integers and a and d are any given posi...
https://en.wikipedia.org/wiki/Harald%20Cram%C3%A9r
Harald Cramér (; 25 September 1893 – 5 October 1985) was a Swedish mathematician, actuary, and statistician, specializing in mathematical statistics and probabilistic number theory. John Kingman described him as "one of the giants of statistical theory". Biography Early life Harald Cramér was born in Stockholm, Swed...
https://en.wikipedia.org/wiki/Parametric%20statistics
Parametric statistics is a branch of statistics which assumes that sample data comes from a population that can be adequately modeled by a probability distribution that has a fixed set of parameters. Conversely a non-parametric model does not assume an explicit (finite-parametric) mathematical form for the distributio...
https://en.wikipedia.org/wiki/Nonparametric%20statistics
Nonparametric statistics is a type of statistical analysis that does not rely on the assumption of a specific underlying distribution (such as the normal distribution), or any other specific assumptions about the population parameters (such as mean and variance). This is in contrast to parametric statistics, which make...
https://en.wikipedia.org/wiki/Hypatia%20%28disambiguation%29
Hypatia (c. 370–415), was a Greek scholar and philosopher who was considered the first notable woman in mathematics. Hypatia may also refer to: Fiction Hypatia (novel) by Charles Kingsley Hypatia, a character based on Hypatia of Alexandria in the series The Heirs of Alexandria by Mercedes Lackey, Eric Flint and Dave ...
https://en.wikipedia.org/wiki/Wallace%E2%80%93Bolyai%E2%80%93Gerwien%20theorem
In geometry, the Wallace–Bolyai–Gerwien theorem, named after William Wallace, Farkas Bolyai and P. Gerwien, is a theorem related to dissections of polygons. It answers the question when one polygon can be formed from another by cutting it into a finite number of pieces and recomposing these by translations and rotation...
https://en.wikipedia.org/wiki/Chain%20%28algebraic%20topology%29
In algebraic topology, a -chain is a formal linear combination of the -cells in a cell complex. In simplicial complexes (respectively, cubical complexes), -chains are combinations of -simplices (respectively, -cubes), but not necessarily connected. Chains are used in homology; the elements of a homology group are equiv...
https://en.wikipedia.org/wiki/Peter%20Armitage%20%28statistician%29
Peter Armitage CBE (born 15 June 1924) is a statistician specialising in medical statistics. Peter Armitage attended Huddersfield College and went on to read mathematics at Trinity College, Cambridge. Armitage belonged to the generation of mathematicians who came to maturity in the Second World War. He joined the weap...
https://en.wikipedia.org/wiki/Grigori%20Perelman
Grigori Yakovlevich Perelman (; born 13 June 1966) is a Russian mathematician who is known for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman abruptly quit his research job at the Steklov Institute of Mathematics, and in 2006 stated that he had qui...
https://en.wikipedia.org/wiki/Closeness
Closeness may refer to: closeness (mathematics) closeness (graph theory), the shortest path between one vertex and another vertex the personal distance between two people in proxemics Social connectedness Closeness (album), a 1976 album by Charlie Haden Closeness (film), a 2017 Russian film
https://en.wikipedia.org/wiki/Vienna%20Circle
The Vienna Circle () of logical empiricism was a group of elite philosophers and scientists drawn from the natural and social sciences, logic and mathematics who met regularly from 1924 to 1936 at the University of Vienna, chaired by Moritz Schlick. The Vienna Circle had a profound influence on 20th-century philosophy,...
https://en.wikipedia.org/wiki/Percentile%20rank
In statistics, the percentile rank (PR) of a given score is the percentage of scores in its frequency distribution that are less than that score. Formulation Its mathematical formula is where CF—the cumulative frequency—is the count of all scores less than or equal to the score of interest, F is the frequency for ...
https://en.wikipedia.org/wiki/1675%20in%20literature
This article contains information about the literary events and publications of 1675. Events November 11 – Gottfried Leibniz's notebooks record a breakthrough in his work on calculus. New books Prose Joshua Barnes – Gerania; a New Discovery of a Little Sort of People, anciently discoursed of, called Pygmies John Bar...
https://en.wikipedia.org/wiki/1647%20in%20literature
This article contains information about the literary events and publications of 1647. Events Summer – Thomas Hobbes gives up his work as mathematics tutor to the future Charles II of England because of a serious illness. October 6 – London authorities raid the Salisbury Court Theatre, breaking up an illicit performanc...
https://en.wikipedia.org/wiki/Accumulation%20point
In mathematics, a limit point, accumulation point, or cluster point of a set in a topological space is a point that can be "approximated" by points of in the sense that every neighbourhood of with respect to the topology on also contains a point of other than itself. A limit point of a set does not itself have...
https://en.wikipedia.org/wiki/Logistic%20regression
In statistics, the logistic model (or logit model) is a statistical model that models the probability of an event taking place by having the log-odds for the event be a linear combination of one or more independent variables. In regression analysis, logistic regression (or logit regression) is estimating the parameters...
https://en.wikipedia.org/wiki/Unit%20cell
In geometry, biology, mineralogy and solid state physics, a unit cell is a repeating unit formed by the vectors spanning the points of a lattice. Despite its suggestive name, the unit cell (unlike a unit vector, for example) does not necessarily have unit size, or even a particular size at all. Rather, the primitive c...
https://en.wikipedia.org/wiki/Yates%27s%20correction%20for%20continuity
In statistics, Yates's correction for continuity (or Yates's chi-squared test) is used in certain situations when testing for independence in a contingency table. It aims at correcting the error introduced by assuming that the discrete probabilities of frequencies in the table can be approximated by a continuous distri...
https://en.wikipedia.org/wiki/Meagre%20set
In the mathematical field of general topology, a meagre set (also called a meager set or a set of first category) is a subset of a topological space that is small or negligible in a precise sense detailed below. A set that is not meagre is called nonmeagre, or of the second category. See below for definitions of othe...
https://en.wikipedia.org/wiki/Finite%20mathematics
In mathematics education, Finite Mathematics is a syllabus in college and university mathematics that is independent of calculus. A course in precalculus may be a prerequisite for Finite Mathematics. Contents of the course include an eclectic selection of topics often applied in social science and business, such as fi...
https://en.wikipedia.org/wiki/Duality
Duality may refer to: Mathematics Duality (mathematics), a mathematical concept Dual (category theory), a formalization of mathematical duality Duality (optimization) Duality (order theory), a concept regarding binary relations Duality (projective geometry), general principle of projective geometry Duality princ...
https://en.wikipedia.org/wiki/Wilson%27s%20theorem
In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n. That is (using the notations of modular arithmetic), the factorial satisfies exactly when n is a prime number. In o...
https://en.wikipedia.org/wiki/Stochastic%20calculus
Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created and started by the Japanese mathematician Kiyosi Itô during World War II. T...
https://en.wikipedia.org/wiki/Viterbi%20algorithm
The Viterbi algorithm is a dynamic programming algorithm for obtaining the maximum a posteriori probability estimate of the most likely sequence of hidden states—called the Viterbi path—that results in a sequence of observed events, especially in the context of Markov information sources and hidden Markov models (HMM)....
https://en.wikipedia.org/wiki/Bernoulli%20polynomials
In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur in the study of many special functions and, in particular, the Riemann zeta fun...
https://en.wikipedia.org/wiki/Additive%20inverse
In mathematics, the additive inverse of a number (sometimes called the opposite of ) is the number that, when added to , yields zero. The operation taking a number to its additive inverse is known as sign change or negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive ...
https://en.wikipedia.org/wiki/Ruud%20Janssen
Ruud Janssen (born July 29, 1959, in Tilburg) is a Dutch Fluxus and mail artist currently living in Breda in the Netherlands. Life and Work Janssen studied physics and mathematics before he became active with mail art in 1980, doing several international mail art projects. From 1994 till 2001 he has conducted intervie...
https://en.wikipedia.org/wiki/JSJ%20decomposition
In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: Irreducible orientable closed (i.e., compact and without boundary) 3-manifolds have a unique (up to isotopy) minimal collection of disjointly embedded incompressible tori such that...
https://en.wikipedia.org/wiki/Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue. As an equation, this condition can be written as for some scalar eigenvalue The solutions to this e...
https://en.wikipedia.org/wiki/Suslin%27s%20problem
In mathematics, Suslin's problem is a question about totally ordered sets posed by and published posthumously. It has been shown to be independent of the standard axiomatic system of set theory known as ZFC; showed that the statement can neither be proven nor disproven from those axioms, assuming ZF is consistent. (...
https://en.wikipedia.org/wiki/Logical%20biconditional
In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement " if and only if " (often abbreviated as " iff "), where is known as the antecedent, and the c...
https://en.wikipedia.org/wiki/Truncation
In mathematics and computer science, truncation is limiting the number of digits right of the decimal point. Truncation and floor function Truncation of positive real numbers can be done using the floor function. Given a number to be truncated and , the number of elements to be kept behind the decimal point, the tr...
https://en.wikipedia.org/wiki/Propositional%20function
In propositional calculus, a propositional function or a predicate is a sentence expressed in a way that would assume the value of true or false, except that within the sentence there is a variable (x) that is not defined or specified (thus being a free variable), which leaves the statement undetermined. The sentence m...
https://en.wikipedia.org/wiki/Delta%20operator
In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift-equivariant means that if , then In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vecto...
https://en.wikipedia.org/wiki/Monge%20array
In mathematics applied to computer science, Monge arrays, or Monge matrices, are mathematical objects named for their discoverer, the French mathematician Gaspard Monge. An m-by-n matrix is said to be a Monge array if, for all such that one obtains So for any two rows and two columns of a Monge array (a 2 × 2 sub-m...
https://en.wikipedia.org/wiki/Horizontal
Horizontal may refer to: Horizontal plane, in astronomy, geography, geometry and other sciences and contexts Horizontal coordinate system, in astronomy Horizontalism, in monetary circuit theory Horizontalism, in sociology Horizontal market, in microeconomics Horizontal (album), a 1968 album by the Bee Gees "Horizontal...
https://en.wikipedia.org/wiki/Difference
Difference commonly refers to: Difference (philosophy), the set of properties by which items are distinguished Difference (mathematics), the result of a subtraction Difference, The Difference, Differences or Differently may also refer to: Music Difference (album), by Dreamtale, 2005 Differently (album), by Cassi...
https://en.wikipedia.org/wiki/Fractional%20calculus
Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator and of the integration operator and developing a calculus for such operators generalizing the classical one. In this co...
https://en.wikipedia.org/wiki/Multiplicative%20inverse
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the recip...
https://en.wikipedia.org/wiki/Falling%20and%20rising%20factorials
In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as the polynomial The rising factorial (sometimes called the Pochhammer function, Pochhammer polynomial, ascending factorial, rising sequential product, or upper factorial) is de...
https://en.wikipedia.org/wiki/Lorentz%20group
In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for all (non-gravitational) physical phenomena. The Lorentz group is named for the Dutch physicist Hendrik Lorentz. For example, the following laws, equations, and theorie...
https://en.wikipedia.org/wiki/Fock%20space
The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical particles from a single particle Hilbert space . It is named after V. A. Fock who first introduced it in his 1932 paper "Konfigurationsraum und zweite Quantelung" ("Co...
https://en.wikipedia.org/wiki/Seismic%20hazard
A seismic hazard is the probability that an earthquake will occur in a given geographic area, within a given window of time, and with ground motion intensity exceeding a given threshold. With a hazard thus estimated, risk can be assessed and included in such areas as building codes for standard buildings, designing lar...