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https://en.wikipedia.org/wiki/WKT | WKT may refer to:
Well-known text representation of coordinate reference systems, a text markup language for representing coordinate reference systems
Well-known text representation of geometry, a text markup language for representing vector geometry objects
WKT (sealant), a marine sealant
West Kowloon Terminus, a... |
https://en.wikipedia.org/wiki/Fundamental%20lemma%20of%20the%20calculus%20of%20variations | In mathematics, specifically in the calculus of variations, a variation of a function can be concentrated on an arbitrarily small interval, but not a single point.
Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in a weak formulation (variational form) integrated with an ar... |
https://en.wikipedia.org/wiki/Transitive%20set | In set theory, a branch of mathematics, a set is called transitive if either of the following equivalent conditions hold:
whenever , and , then .
whenever , and is not an urelement, then is a subset of .
Similarly, a class is transitive if every element of is a subset of .
Examples
Using the definition of ordi... |
https://en.wikipedia.org/wiki/Generalized%20Appell%20polynomials | In mathematics, a polynomial sequence has a generalized Appell representation if the generating function for the polynomials takes on a certain form:
where the generating function or kernel is composed of the series
with
and
and all
and
with
Given the above, it is not hard to show that is a polynomial o... |
https://en.wikipedia.org/wiki/Donald%20Dines%20Wall | Donald Dines Wall (August 13, 1921 – November 28, 2000) was an American mathematician working primarily on number theory. He obtained his Ph.D. on normal numbers from University of California, Berkeley in 1949, where his adviser was Derrick Henry Lehmer. His better known papers include the first modern analysis of Fibo... |
https://en.wikipedia.org/wiki/Newton%27s%20identities | In mathematics, Newton's identities, also known as the Girard–Newton formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial P in one variable, they allow expressing the sums of the k-th powers of a... |
https://en.wikipedia.org/wiki/Maris%E2%80%93McGwire%E2%80%93Sosa%20pair | In recreational mathematics, Maris–McGwire–Sosa pairs (MMS pairs, also MMS numbers) are two consecutive natural numbers such that adding each number's digits (in base 10) to the digits of its prime factorization gives the same sum.
Thus 61 → 6 + 1 (the sum of its digits) + 6 + 1 (since 61 is its prime factorization)... |
https://en.wikipedia.org/wiki/Gershgorin%20circle%20theorem | In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician Semyon Aronovich Gershgorin in 1931. Gershgorin's name has been transliterated in several different ways, including Geršgorin, Gerschgorin, Gershgorin, Hershhorn, and H... |
https://en.wikipedia.org/wiki/Cabal%20%28disambiguation%29 | A cabal is a group of people united in some design.
Cabal or the Cabal may also refer to:
The Cabal Ministry, a government under King Charles II of England
Cabal (set theory), an American group of mathematicians concentrated in southern California
Cabal (surname)
Conway Cabal, an effort to remove George Washingto... |
https://en.wikipedia.org/wiki/Independence%20system | In combinatorial mathematics, an independence system is a pair , where is a finite set and is a collection of subsets of (called the independent sets or feasible sets) with the following properties:
The empty set is independent, i.e., . (Alternatively, at least one subset of is independent, i.e., .)
Every subse... |
https://en.wikipedia.org/wiki/Constraint%20counting | In mathematics, constraint counting is counting the number of constraints in order to compare it with the number of variables, parameters, etc. that are free to be determined, the idea being that in most cases the number of independent choices that can be made is the excess of the latter over the former.
For example, ... |
https://en.wikipedia.org/wiki/Direction%20cosine | In analytic geometry, the direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three positive coordinate axes. Equivalently, they are the contributions of each component of the basis to a unit vector in that direction.
Three-dimensional Cartesian coordinates
... |
https://en.wikipedia.org/wiki/Signed%20graph | In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign.
A signed graph is balanced if the product of edge signs around every cycle is positive. The name "signed graph" and the notion of balance appeared first in a mathematical paper of Frank Harary in ... |
https://en.wikipedia.org/wiki/Colored%20matroid | In mathematics, a colored matroid is a matroid whose elements are labeled from a set of colors, which can be any set that suits the purpose, for instance the set of the first n positive integers, or the sign set {+, −}.
The interest in colored matroids is through their invariants, especially the colored Tutte polynomi... |
https://en.wikipedia.org/wiki/Biased%20graph | In mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained in a theta graph, then the third circle of the theta graph is also in the list. A biased graph is a generalization of the combinatorial essentials of a gain gr... |
https://en.wikipedia.org/wiki/Theta%20graph | In computational geometry, the Theta graph, or -graph, is a type of geometric spanner similar to a Yao graph. The basic method of construction involves partitioning the space around each vertex into a set of cones, which themselves partition the remaining vertices of the graph. Like Yao Graphs, a -graph contains at mo... |
https://en.wikipedia.org/wiki/Bayesian%20information%20criterion | In statistics, the Bayesian information criterion (BIC) or Schwarz information criterion (also SIC, SBC, SBIC) is a criterion for model selection among a finite set of models; models with lower BIC are generally preferred. It is based, in part, on the likelihood function and it is closely related to the Akaike informat... |
https://en.wikipedia.org/wiki/Residual%20sum%20of%20squares | In statistics, the residual sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares of residuals (deviations predicted from actual empirical values of data). It is a measure of the discrepancy between the data and an estimation ... |
https://en.wikipedia.org/wiki/Explained%20sum%20of%20squares | In statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be confused with the residual sum of squares (RSS) or sum of squares of errors), is a quantity used in describing how well a model, often a regression model, represents th... |
https://en.wikipedia.org/wiki/Unit%20root%20test | In statistics, a unit root test tests whether a time series variable is non-stationary and possesses a unit root. The null hypothesis is generally defined as the presence of a unit root and the alternative hypothesis is either stationarity, trend stationarity or explosive root depending on the test used.
General appro... |
https://en.wikipedia.org/wiki/MISG | MISG may refer to:
The Mathematics in Industry Study Group, an annual workshop now held in Australia, under the wing of Australian and NZ Industrial Applied Maths ANZIAM
Malaysian Islamic Study Group, a U.S.-based student organization
Military Intelligence and Security Group, the former secret police agency of the P... |
https://en.wikipedia.org/wiki/Dickey%E2%80%93Fuller%20test | In statistics, the Dickey–Fuller test tests the null hypothesis that a unit root is present in an autoregressive (AR) time series model. The alternative hypothesis is different depending on which version of the test is used, but is usually stationarity or trend-stationarity. The test is named after the statisticians Da... |
https://en.wikipedia.org/wiki/Epsilon-induction | In set theory, -induction, also called epsilon-induction or set-induction, is a principle that can be used to prove that all sets satisfy a given property. Considered as an axiomatic principle, it is called the axiom schema of set induction.
The principle implies transfinite induction and recursion.
It may also be st... |
https://en.wikipedia.org/wiki/Equiangular%20polygon | In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon. Isogonal polygons are equiangular polygons which alternate two edge lengths.
For clarity, a planar equiangular polygon ... |
https://en.wikipedia.org/wiki/Kummer%E2%80%93Vandiver%20conjecture | In mathematics, the Kummer–Vandiver conjecture, or Vandiver conjecture, states that a prime p does not divide the class number hK of the maximal real subfield of the p-th cyclotomic field.
The conjecture was first made by Ernst Kummer on 28 December 1849 and 24 April 1853 in letters to Leopold Kronecker, reprinte... |
https://en.wikipedia.org/wiki/Monte%20Carlo%20N-Particle%20Transport%20Code | Monte Carlo N-Particle Transport (MCNP) is a general-purpose, continuous-energy, generalized-geometry, time-dependent, Monte Carlo radiation transport code designed to track many particle types over broad ranges of energies and is developed by Los Alamos National Laboratory. Specific areas of application include, but ... |
https://en.wikipedia.org/wiki/Farkas%27%20lemma | In mathematics, Farkas' lemma is a solvability theorem for a finite system of linear inequalities. It was originally proven by the Hungarian mathematician Gyula Farkas.
Farkas' lemma is the key result underpinning the linear programming duality and has played a central role in the development of mathematical optimizati... |
https://en.wikipedia.org/wiki/Singly%20and%20doubly%20even | In mathematics an even integer, that is, a number that is divisible by 2, is called evenly even or doubly even if it is a multiple of 4, and oddly even or singly even if it is not. The former names are traditional ones, derived from ancient Greek mathematics; the latter have become common in recent decades.
These nam... |
https://en.wikipedia.org/wiki/Max%20Noether | Max Noether (24 September 1844 – 13 December 1921) was a German mathematician who worked on algebraic geometry and the theory of algebraic functions. He has been called "one of the finest mathematicians of the nineteenth century". He was the father of Emmy Noether.
Biography
Max Noether was born in Mannheim in 1844, t... |
https://en.wikipedia.org/wiki/Residuated%20lattice | In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x ≤ y and a monoid x•y which admits operations x\z and z/y, loosely analogous to division or implication, when x•y is viewed as multiplication or conjunction, respectively. Called respectively right and left residuals,... |
https://en.wikipedia.org/wiki/MV-algebra | In abstract algebra, a branch of pure mathematics, an MV-algebra is an algebraic structure with a binary operation , a unary operation , and the constant , satisfying certain axioms. MV-algebras are the algebraic semantics of Łukasiewicz logic; the letters MV refer to the many-valued logic of Łukasiewicz. MV-algebras c... |
https://en.wikipedia.org/wiki/Exact%20test | In statistics, an exact (significance) test is a test such that if the null hypothesis is true, then all assumptions made during the derivation of the distribution of the test statistic are met. Using an exact test provides a significance test that maintains the type I error rate of the test () at the desired significa... |
https://en.wikipedia.org/wiki/Stochastic%20drift | In probability theory, stochastic drift is the change of the average value of a stochastic (random) process. A related concept is the drift rate, which is the rate at which the average changes. For example, a process that counts the number of heads in a series of fair coin tosses has a drift rate of 1/2 per toss. Thi... |
https://en.wikipedia.org/wiki/Brunnian%20link | In knot theory, a branch of topology, a Brunnian link is a nontrivial link that becomes a set of trivial unlinked circles if any one component is removed. In other words, cutting any loop frees all the other loops (so that no two loops can be directly linked).
The name Brunnian is after Hermann Brunn. Brunn's 1892 a... |
https://en.wikipedia.org/wiki/Bispectrum | In mathematics, in the area of statistical analysis, the bispectrum is a statistic used to search for nonlinear interactions.
Definitions
The Fourier transform of the second-order cumulant, i.e., the autocorrelation function, is the traditional power spectrum.
The Fourier transform of C3(t1, t2) (third-order cumulan... |
https://en.wikipedia.org/wiki/Bicoherence | In mathematics and statistical analysis, bicoherence (also known as bispectral coherency) is a squared normalised version of the bispectrum. The bicoherence takes values bounded between 0 and 1, which make it a convenient measure for quantifying the extent of phase coupling in a signal. The prefix bi- in bispectrum and... |
https://en.wikipedia.org/wiki/Isard | Isard may refer to:
Pistol Isard, a Spanish semi-automatic pistol
Pyrenean chamois or isard
Andorra national rugby union team or Els Isards
Isard, an interactive geometry program
People with the surname
Walter Isard (1919–2010), American economist
Fictional
Ysanne Isard, a character in the Star Wars franchise
... |
https://en.wikipedia.org/wiki/Point%20plotting | Point plotting is an elementary mathematical skill required in analytic geometry. Invented by René Descartes and originally used to locate positions on military maps, this skill is now assumed of everyone who wants to locate grid 7A on any map.
Using point plotting, one associates an ordered pair of real numbers (x, y... |
https://en.wikipedia.org/wiki/Max%20Weiss | Miksa (Max) Weisz (21 July 1857 – 14 March 1927) was an Austrian chess player born in the Kingdom of Hungary.
Weiss was born in Sereď. Moving to Vienna, he studied mathematics and physics at the university, and later taught those subjects.
Weiss learned to play chess at age 12, and his strength increased steadily thro... |
https://en.wikipedia.org/wiki/Complex%20differential%20form | In mathematics, a complex differential form is a differential form on a manifold (usually a complex manifold) which is permitted to have complex coefficients.
Complex forms have broad applications in differential geometry. On complex manifolds, they are fundamental and serve as the basis for much of algebraic geometr... |
https://en.wikipedia.org/wiki/Alternating%20algebra | In mathematics, an alternating algebra is a -graded algebra for which for all nonzero homogeneous elements and (i.e. it is an anticommutative algebra) and has the further property that for every homogeneous element of odd degree.
Examples
The differential forms on a differentiable manifold form an alternating ... |
https://en.wikipedia.org/wiki/Supermatrix | In mathematics and theoretical physics, a supermatrix is a Z2-graded analog of an ordinary matrix. Specifically, a supermatrix is a 2×2 block matrix with entries in a superalgebra (or superring). The most important examples are those with entries in a commutative superalgebra (such as a Grassmann algebra) or an ordinar... |
https://en.wikipedia.org/wiki/Panel%20data | In statistics and econometrics, panel data and longitudinal data are both multi-dimensional data involving measurements over time. Panel data is a subset of longitudinal data where observations are for the same subjects each time.
Time series and cross-sectional data can be thought of as special cases of panel data th... |
https://en.wikipedia.org/wiki/List%20of%20Zimbabwe%20ODI%20cricketers | This is a list of Zimbabwean One-day International cricketers displaying career statistics for all players that have represented Zimbabwe in at least one One Day International (ODI). An ODI is an international cricket match between two representative teams, each having ODI status, as determined by the International Cri... |
https://en.wikipedia.org/wiki/Yvonne%20John%20Lewis | Yvonne John Lewis (occasionally spelled Yvonne John-Lewis) is a British female lead and backing singer. She is currently teaching mathematics at a secondary school in North London.
Hailing from London, she was discovered by Osmond Wright, better known by his stage name "Mozez" and a singer for British downtempo group ... |
https://en.wikipedia.org/wiki/Kan%20extension | Kan extensions are universal constructs in category theory, a branch of mathematics. They are closely related to adjoints, but are also related to limits and ends. They are named after Daniel M. Kan, who constructed certain (Kan) extensions using limits in 1960.
An early use of (what is now known as) a Kan extension f... |
https://en.wikipedia.org/wiki/Parallel%20projection | In three-dimensional geometry, a parallel projection (or axonometric projection) is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane or image plane, where the rays, known as lines of sight or projection lines, are parallel to each other. It is a basic tool in descri... |
https://en.wikipedia.org/wiki/Nested%20radical | In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression. Examples include
which arises in discussing the regular pentagon, and more complicated ones such as
Denesting
Some nested radicals can be rewritten in a for... |
https://en.wikipedia.org/wiki/Banach%20manifold | In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space (a more involved and formal definition is given below). Banach manifolds are one possibility of extending manifolds to infinite d... |
https://en.wikipedia.org/wiki/Hilbert%20manifold | In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold provides a possibility of extending the theory of manifolds to infinite-dime... |
https://en.wikipedia.org/wiki/Pseudomonad | Pseudomonad may refer to:
Biology
a member of:
Pseudomonadaceae, the family.
Pseudomonas, the genus.
Mathematics
Pseudomonad (Category Theory), a generalisation of a monad on a category. |
https://en.wikipedia.org/wiki/Paul%20Zeitz | Paul Zeitz (born July 5, 1958) is a Professor of Mathematics at the University of San Francisco. He is the author of The Art and Craft of Problem Solving, and a co-author of Statistical Explorations with Excel.
Biography
In 1974 Paul Zeitz won the USA Mathematical Olympiad (USAMO) and was a member of the first Ameri... |
https://en.wikipedia.org/wiki/Pythagoras%20tree%20%28fractal%29 | The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythago... |
https://en.wikipedia.org/wiki/ISUP | ISUP may refer to:
Paris Institute of Statistics, a school for statistics in France
ISDN User Part or ISUP, a feature of Public Switched Telephone Networks
Inflatable Stand Up Paddle Board or iSUP, a water craft for the sport of Stand Up Paddling that is inflated rather than having a solid construction.
fr:ISUP |
https://en.wikipedia.org/wiki/Flamingo%20%28disambiguation%29 | Flamingo is the common name for birds in the genus Phoenicopterus.
Flamingo, Flamingoes or Flamingos may also refer to:
Places
Topology
Flamingo, Costa Rica, a beach
Flamingo/Lummus, Miami Beach, Florida, United States
Flamingo, Monroe County, Florida, a ghost town
Flamingo Bay (disambiguation)
Airports
Flamin... |
https://en.wikipedia.org/wiki/Vietoris%E2%80%93Begle%20mapping%20theorem | The Vietoris–Begle mapping theorem is a result in the mathematical field of algebraic topology. It is named for Leopold Vietoris and Edward G. Begle. The statement of the theorem, below, is as formulated by Stephen Smale.
Theorem
Let and be compact metric spaces, and let be surjective and continuous. Suppose that t... |
https://en.wikipedia.org/wiki/Coherence%20%28statistics%29 | In probability theory and statistics, coherence can have several different meanings. Coherence in statistics is an indication of the quality of the information, either within a single data set, or between similar but not identical data sets. Fully coherent data are logically consistent and can be reliably combined for ... |
https://en.wikipedia.org/wiki/Statistical%20Lab | The computer program Statistical Lab (Statistiklabor) is an explorative and interactive toolbox for statistical analysis and visualization of data. It supports educational applications of statistics in business administration, economics, social sciences and humanities. The program is developed and constantly advanced b... |
https://en.wikipedia.org/wiki/Spider%20diagram | In mathematics, a unitary spider diagram adds existential points to an Euler or a Venn diagram. The points indicate the existence of an attribute described by the intersection of contours in the Euler diagram. These points may be joined forming a shape like a spider. Joined points represent an "or" condition, also know... |
https://en.wikipedia.org/wiki/Graded%20poset | In mathematics, in the branch of combinatorics, a graded poset is a partially-ordered set (poset) P equipped with a rank function ρ from P to the set N of all natural numbers. ρ must satisfy the following two properties:
The rank function is compatible with the ordering, meaning that for all x and y in the order, if ... |
https://en.wikipedia.org/wiki/Structural%20stability | In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact C1-small perturbations).
Examples of such qualitative properties are numbers of fixed points and periodic orbits (but not ... |
https://en.wikipedia.org/wiki/Generation%20of%20primes | In computational number theory, a variety of algorithms make it possible to generate prime numbers efficiently. These are used in various applications, for example hashing, public-key cryptography, and search of prime factors in large numbers.
For relatively small numbers, it is possible to just apply trial division ... |
https://en.wikipedia.org/wiki/Subbundle | In mathematics, a subbundle of a vector bundle on a topological space is a collection of linear subspaces of the fibers of at in that make up a vector bundle in their own right.
In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution (of tangent v... |
https://en.wikipedia.org/wiki/Mayo%2C%20Yukon | Mayo is a village in Yukon, Canada, along the Silver Trail and the Stewart River. It had a population of 200 in 2016. The Yukon Bureau of Statistics estimated a population of 496 in 2019. It is also the home of the First Nation of Na-Cho Nyäk Dun, whose primary language is Northern Tutchone. Na-Cho Nyäk Dun translates ... |
https://en.wikipedia.org/wiki/Heawood%20number | In mathematics, the Heawood number of a surface is an upper bound for the number of colors that suffice to color any graph embedded in the surface.
In 1890 Heawood proved for all surfaces except the sphere that no more than
colors are needed to color any graph embedded in a surface of Euler characteristic , or g... |
https://en.wikipedia.org/wiki/Star%20product | In mathematics, the star product is a method of combining graded posets with unique minimal and maximal elements, preserving the property that the posets are Eulerian.
Definition
The star product of two graded posets and , where has a unique maximal element and has a unique minimal element , is a poset on the set... |
https://en.wikipedia.org/wiki/Pluriharmonic%20function | In mathematics, precisely in the theory of functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic function of several complex variables. Sometimes such a function is referred to as n-harmonic function, where n ≥ 2 is the dimension of t... |
https://en.wikipedia.org/wiki/Pluripolar%20set | In mathematics, in the area of potential theory, a pluripolar set is the analog of a polar set for plurisubharmonic functions.
Definition
Let and let be a plurisubharmonic function which is not identically . The set
is called a complete pluripolar set. A pluripolar set is any subset of a complete pluripolar set... |
https://en.wikipedia.org/wiki/Plurisubharmonic%20function | In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis. On a Kähler manifold, plurisubharmonic functions form a subset of the subharmonic functions. However, unlike subharmonic functions (which are defined on a R... |
https://en.wikipedia.org/wiki/384%20%28number%29 | 384 (three hundred [and] eighty-four) is the natural number following 383 and preceding 385. It is an even composite positive integer.
In mathematics
384 is:
the sum of a twin prime pair (191 + 193).
the sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73).
the order of the hyperoctahedral group for n = 4
... |
https://en.wikipedia.org/wiki/Hiroshi%20Haruki | was a Japanese mathematician. A world-renowned expert in functional equations, he is best known for discovering "Haruki's theorem" and "Haruki's Lemma" in plane geometry.
Some of his published work, such as: "On a Characteristic Property of Confocal Conic Sections" is available (open source) on Project Euclid.
Haru... |
https://en.wikipedia.org/wiki/Octene | Octene is an alkene with the formula . Several isomers of octene are known, depending on the position and the geometry of the double bond in the carbon chain.
The simplest isomer is 1-octene, an alpha-olefin used primarily as a co-monomer in production of polyethylene via the solution polymerization process. Several ... |
https://en.wikipedia.org/wiki/Universal%20code%20%28data%20compression%29 | In data compression, a universal code for integers is a prefix code that maps the positive integers onto binary codewords, with the additional property that whatever the true probability distribution on integers, as long as the distribution is monotonic (i.e., p(i) ≥ p(i + 1) for all positive i), the expected lengths ... |
https://en.wikipedia.org/wiki/Chow%20variety | In mathematics, particularly in the field of algebraic geometry, a Chow variety is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely, the Chow variety is the fine moduli variety parametrizing all effective algebraic cycl... |
https://en.wikipedia.org/wiki/Horn%20function | In the theory of special functions in mathematics, the Horn functions (named for Jakob Horn) are the 34 distinct convergent hypergeometric series of order two (i.e. having two independent variables), enumerated by (corrected by ). They are listed in . B. C. Carlson revealed a problem with the Horn function classificat... |
https://en.wikipedia.org/wiki/Unusual%20number | In number theory, an unusual number is a natural number n whose largest prime factor is strictly greater than .
A k-smooth number has all its prime factors less than or equal to k, therefore, an unusual number is non--smooth.
Relation to prime numbers
All prime numbers are unusual.
For any prime p, its multiples less... |
https://en.wikipedia.org/wiki/Ohio%20Graduation%20Test | The Ohio Graduation Test (OGT) is the high school graduation examination given to sophomores in the U.S. state of Ohio. Students must pass all five sections (reading, writing, mathematics, science and social studies) in order to graduate. Students have multiple chances to pass these sections and can still graduate with... |
https://en.wikipedia.org/wiki/Duncan%27s%20new%20multiple%20range%20test | In statistics, Duncan's new multiple range test (MRT) is a multiple comparison procedure developed by David B. Duncan in 1955. Duncan's MRT belongs to the general class of multiple comparison procedures that use the studentized range statistic qr to compare sets of means.
David B. Duncan developed this test as a modif... |
https://en.wikipedia.org/wiki/Padovan%20polynomials | In mathematics, Padovan polynomials are a generalization of Padovan sequence numbers. These polynomials are defined by:
The first few Padovan polynomials are:
The Padovan numbers are recovered by evaluating the polynomials Pn−3(x) at x = 1.
Evaluating Pn−3(x) at x = 2 gives the nth Fibonacci number plus (−1)n.
T... |
https://en.wikipedia.org/wiki/Algebra%20Project | The Algebra Project is a national U.S. mathematics literacy program aimed at helping low-income students and students of color achieve the mathematical skills in high school that are a prerequisite for a college preparatory mathematics sequence. Founded by Civil Rights activist and Math educator Bob Moses in the 1980s,... |
https://en.wikipedia.org/wiki/Mike%20Wead | Mike Wead (born Mickael Vikström on 6 April 1967) is a Swedish guitarist who lives in Stockholm. Wead contributed to heavy metal bands such as Hexenhaus, Memento Mori, Abstrakt Algebra, The Haunted, Edge of Sanity, Candlemass, The Project Hate. Currently Wead is the guitarist of Mercyful Fate, King Diamond, and biblebl... |
https://en.wikipedia.org/wiki/Cauchy%20surface | In the mathematical field of Lorentzian geometry, a Cauchy surface is a certain kind of submanifold of a Lorentzian manifold. In the application of Lorentzian geometry to the physics of general relativity, a Cauchy surface is usually interpreted as defining an "instant of time"; in the mathematics of general relativity... |
https://en.wikipedia.org/wiki/Uniform%20polyhedron | In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive (i.e., there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent.
Uniform polyhedra may be regular (if also face- and edge-transitive), quasi-regular (if also edge-transitive but not face-... |
https://en.wikipedia.org/wiki/Consumer%20Expenditure%20Survey | The Consumer Expenditure Survey (CE or CEX) is a Bureau of Labor Statistics (BLS) household survey that collects information on the buying habits of U.S. consumers. The program consists of two components — the Interview Survey and the Diary Survey — each with its own sample. The surveys collect data on expenditures, ... |
https://en.wikipedia.org/wiki/PL/Perl | PL/Perl (Procedural Language/Perl) is a procedural language supported by the PostgreSQL RDBMS.
PL/Perl, as an imperative programming language, allows more control than the relational algebra of SQL.
Programs created in the PL/Perl language are called functions and can use most of the features that the Perl programming... |
https://en.wikipedia.org/wiki/Oseledets%20theorem | In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It was proved by Valery Oseledets (also spelled "Oseledec") in 1965 and reported at the International Mathematical Congress in Moscow in 196... |
https://en.wikipedia.org/wiki/225%20%28number%29 | 225 (two hundred [and] twenty-five) is the natural number following 224 and preceding 226.
In mathematics
225 is the smallest number that is a polygonal number in five different ways. It is a square number ,
an octagonal number, and a squared triangular number .
As the square of a double factorial, counts the nu... |
https://en.wikipedia.org/wiki/Predictive%20modelling | Predictive modelling uses statistics to predict outcomes. Most often the event one wants to predict is in the future, but predictive modelling can be applied to any type of unknown event, regardless of when it occurred. For example, predictive models are often used to detect crimes and identify suspects, after the crim... |
https://en.wikipedia.org/wiki/Tourism%20in%20Laos | Tourism in Laos is governed by a ministry-level government agency, the Lao National Tourism Administration (LNTA).
Statistics
Annual statistics
Notes:
1.COVID-19 pandemic.
2.SARS epidemic
3.September 11 attacks
International visitor arrivals
∗ASEAN nation
See also
Visa policy of Laos
References
External links
... |
https://en.wikipedia.org/wiki/Two%20envelopes%20problem | The two envelopes problem, also known as the exchange paradox, is a paradox in probability theory. It is of special interest in decision theory and for the Bayesian interpretation of probability theory. It is a variant of an older problem known as the necktie paradox.
The problem is typically introduced by formulating ... |
https://en.wikipedia.org/wiki/Equidistribution%20theorem | In mathematics, the equidistribution theorem is the statement that the sequence
a, 2a, 3a, ... mod 1
is uniformly distributed on the circle , when a is an irrational number. It is a special case of the ergodic theorem where one takes the normalized angle measure .
History
While this theorem was proved in 1909 and 1... |
https://en.wikipedia.org/wiki/Cross-sectional%20regression | In statistics and econometrics, a cross-sectional regression is a type of regression in which the explained and explanatory variables are all associated with the same single period or point in time. This type of cross-sectional analysis is in contrast to a time-series regression or longitudinal regression in which the... |
https://en.wikipedia.org/wiki/Krylov%20subspace | In linear algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under the first r powers of A (starting from ), that is,
Background
The concept is named after Russian applied mathematician and naval engineer Alexei Krylov, w... |
https://en.wikipedia.org/wiki/Michio%20Suzuki%20%28mathematician%29 | was a Japanese mathematician who studied group theory.
Biography
He was a professor at the University of Illinois at Urbana–Champaign from 1953 to his death. He also had visiting positions at the University of Chicago (1960–61), the Institute for Advanced Study (1962–63, 1968–69, spring 1981), the University of Tokyo... |
https://en.wikipedia.org/wiki/Orientation%20%28geometry%29 | In geometry, the orientation, attitude, bearing, direction, or angular position of an object – such as a line, plane or rigid body – is part of the description of how it is placed in the space it occupies.
More specifically, it refers to the imaginary rotation that is needed to move the object from a reference placemen... |
https://en.wikipedia.org/wiki/Robinson%20arithmetic | In mathematics, Robinson arithmetic is a finitely axiomatized fragment of first-order Peano arithmetic (PA), first set out by Raphael M. Robinson in 1950. It is usually denoted Q. Q is almost PA without the axiom schema of mathematical induction. Q is weaker than PA but it has the same language, and both theories are ... |
https://en.wikipedia.org/wiki/Systolic%20geometry | In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its arithmetical, ergodic, and topological manifestations. See also a slo... |
https://en.wikipedia.org/wiki/Zero-sum%20problem | In number theory, zero-sum problems are certain kinds of combinatorial problems about the structure of a finite abelian group. Concretely, given a finite abelian group G and a positive integer n, one asks for the smallest value of k such that every sequence of elements of G of size k contains n terms that sum to 0.
T... |
https://en.wikipedia.org/wiki/Stern%E2%80%93Brocot%20tree | In number theory, the Stern–Brocot tree is an infinite complete binary tree in which the vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree.
The Stern–Brocot tree was introduced independently by and . Stern was a German number the... |
https://en.wikipedia.org/wiki/Variable-geometry%20turbocharger | Variable-geometry turbochargers (VGTs), occasionally known as variable-nozzle turbines (VNTs), are a type of turbochargers, usually designed to allow the effective aspect ratio (A/R ratio) of the turbocharger to be altered as conditions change. This is done with the use of adjustable vanes located inside the turbine ho... |
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