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https://en.wikipedia.org/wiki/Patrick%20Flanagan | Patrick Flanagan (October 11, 1944 - December 19, 2019) was an American New Age author and inventor.
Flanagan wrote books focused on Egyptian sacred geometry and Pyramidology.
In 1958, at the age of 14, while living in Bellaire, Texas, Flanagan invented the neurophone, an electronic device that claims to transmit sou... |
https://en.wikipedia.org/wiki/Plotkin%20bound | In the mathematics of coding theory, the Plotkin bound, named after Morris Plotkin, is a limit (or bound) on the maximum possible number of codewords in binary codes of given length n and given minimum distance d.
Statement of the bound
A code is considered "binary" if the codewords use symbols from the binary alphab... |
https://en.wikipedia.org/wiki/Antler%2C%20Saskatchewan | Antler is a special service area in the Rural Municipality of Antler No. 61, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the community had a population of 40 in the Canada 2016 Census.
The community is approximately 120 km east of the city of Estevan and 3 km from the Manitoba border. Antl... |
https://en.wikipedia.org/wiki/Ordered%20probit | In statistics, ordered probit is a generalization of the widely used probit analysis to the case of more than two outcomes of an ordinal dependent variable (a dependent variable for which the potential values have a natural ordering, as in poor, fair, good, excellent). Similarly, the widely used logit method also has a... |
https://en.wikipedia.org/wiki/Johnson%20bound | In applied mathematics, the Johnson bound (named after Selmer Martin Johnson) is a limit on the size of error-correcting codes, as used in coding theory for data transmission or communications.
Definition
Let be a q-ary code of length , i.e. a subset of . Let be the minimum distance of , i.e.
where is the Hamming... |
https://en.wikipedia.org/wiki/International%20Federation%20of%20Football%20History%20%26%20Statistics | The International Federation of Football History & Statistics (IFFHS) is an organisation that chronicles the history and records of association football. It was founded in 1984 by Alfredo Pöge in Leipzig. The IFFHS was based in Abu Dhabi for some time but, in 2010, relocated to Bonn, Germany, and then in 2014 to Zürich... |
https://en.wikipedia.org/wiki/Splitting | Splitting may refer to:
Splitting (psychology)
Lumpers and splitters, in classification or taxonomy
Wood splitting
Tongue splitting
Splitting, railway operation
Mathematics
Heegaard splitting
Splitting field
Splitting principle
Splitting theorem
Splitting lemma
for the numerical method to solve differential... |
https://en.wikipedia.org/wiki/Square-free%20polynomial | In mathematics, a square-free polynomial is a polynomial defined over a field (or more generally, an integral domain) that does not have as a divisor any square of a non-constant polynomial. A univariate polynomial is square free if and only if it has no multiple root in an algebraically closed field containing its coe... |
https://en.wikipedia.org/wiki/Charles%20Wheelan | Charles J. Wheelan (born 1966) is an American professor, journalist, speaker, and is the founder and co-chairman of Unite America. Wheelan is the author of Naked Statistics, Naked Economics, and Naked Money. He was an unsuccessful Democratic candidate in the special election for Illinois's 5th congressional district, t... |
https://en.wikipedia.org/wiki/Friendly%20number | In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.
Being mutually friendly is ... |
https://en.wikipedia.org/wiki/Influence%20function | In mathematics, influence function is used to mean either:
a synonym for a Green's function;
Influence function (statistics), the effect on an estimator of changing one point of the sample |
https://en.wikipedia.org/wiki/Richard%20M.%20Dudley | Richard Mansfield Dudley (July 28, 1938 – January 19, 2020) was Professor of Mathematics at the Massachusetts Institute of Technology.
Education and career
Dudley was born in Cleveland, Ohio. He earned his BA at Harvard College and received his PhD at Princeton University in 1962 under the supervision of Edward Nelso... |
https://en.wikipedia.org/wiki/Cake%20number | In mathematics, the cake number, denoted by Cn, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly n planes. The cake number is so-called because one may imagine each partition of the cube by a plane as a slice made by a knife through a cube-shaped cake. It is the 3D a... |
https://en.wikipedia.org/wiki/Block%20walking | In combinatorial mathematics, block walking is a method useful in thinking about sums of combinations graphically as "walks" on Pascal's triangle. As the name suggests, block walking problems involve counting the number of ways an individual can walk from one corner A of a city block to another corner B of another city... |
https://en.wikipedia.org/wiki/Glivenko%E2%80%93Cantelli%20theorem | In the theory of probability, the Glivenko–Cantelli theorem (sometimes referred to as the Fundamental Theorem of Statistics), named after Valery Ivanovich Glivenko and Francesco Paolo Cantelli, determines the asymptotic behaviour of the empirical distribution function as the number of independent and identically distr... |
https://en.wikipedia.org/wiki/Donsker%27s%20theorem | In probability theory, Donsker's theorem (also known as Donsker's invariance principle, or the functional central limit theorem), named after Monroe D. Donsker, is a functional extension of the central limit theorem.
Let be a sequence of independent and identically distributed (i.i.d.) random variables with mean 0 a... |
https://en.wikipedia.org/wiki/Genstat | Genstat (General Statistics) is a statistical software package with data analysis capabilities, particularly in the field of agriculture.
It was developed in 1968 by the Rothamsted Research in the United Kingdom and was designed to provide modular design, linear mixed models and graphical functions. It was developed a... |
https://en.wikipedia.org/wiki/Claudia%20Zaslavsky | Claudia Zaslavsky (January 12, 1917 – January 13, 2006) was an American mathematics teacher and ethnomathematician.
Life
She was born Claudia Natoma Cohen (later changed to Cogan) on January 12, 1917, in Upper Manhattan in New York City and grew up in Allentown, Pennsylvania. She attributed her first interest in math... |
https://en.wikipedia.org/wiki/Abhyankar%27s%20conjecture | In abstract algebra, Abhyankar's conjecture is a conjecture of Shreeram Abhyankar posed in 1957, on the Galois groups of algebraic function fields of characteristic p. The soluble case was solved by Serre in 1990 and the full conjecture was proved in 1994 by work of Michel Raynaud and David Harbater.
Statement
The pro... |
https://en.wikipedia.org/wiki/Formal%20derivative | In mathematics, the formal derivative is an operation on elements of a polynomial ring or a ring of formal power series that mimics the form of the derivative from calculus. Though they appear similar, the algebraic advantage of a formal derivative is that it does not rely on the notion of a limit, which is in general... |
https://en.wikipedia.org/wiki/Comparability | In mathematics, two elements x and y of a set P are said to be comparable with respect to a binary relation ≤ if at least one of x ≤ y or y ≤ x is true. They are called incomparable if they are not comparable.
Rigorous definition
A binary relation on a set is by definition any subset of Given is written if an... |
https://en.wikipedia.org/wiki/Trilinear%20coordinates | In geometry, the trilinear coordinates of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle. Trilinear coordinates are an example of homogeneous coordinates. The ratio is the ratio of the perpendicular distances from the point to the sides (extend... |
https://en.wikipedia.org/wiki/Strong%20prime | In mathematics, a strong prime is a prime number with certain special properties. The definitions of strong primes are different in cryptography and number theory.
Definition in number theory
In number theory, a strong prime is a prime number that is greater than the arithmetic mean of the nearest prime above and be... |
https://en.wikipedia.org/wiki/Peter%20B.%20Kronheimer | Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former chair of the mathematics department.
Education
Kronheimer attended the Ci... |
https://en.wikipedia.org/wiki/Thom%20conjecture | In mathematics, a smooth algebraic curve in the complex projective plane, of degree , has genus given by the genus–degree formula
.
The Thom conjecture, named after French mathematician René Thom, states that if is any smoothly embedded connected curve representing the same class in homology as , then the genus o... |
https://en.wikipedia.org/wiki/OGLE-2005-BLG-390L | OGLE-2005-BLG-390L is a star thought to be a spectral type M (a red dwarf; 95% probability, 4% probability it is a white dwarf, <1% probability it is a neutron star or black hole). This dim magnitude 16 galactic bulge star is located in the Scorpius constellation at a far distance of about 21,500 light years.
Planetar... |
https://en.wikipedia.org/wiki/Ars%20Magna | Ars Magna may refer to:
Ars Magna (Cardano book), a 16th-century book on algebra
Ars Magna (Llull book), a 14th-century philosophical work
Ars Magna Lucis et Umbrae, a 17th-century work on optics |
https://en.wikipedia.org/wiki/Word%20problem%20%28mathematics%29 | In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well. A deep result of computational theory is that answering t... |
https://en.wikipedia.org/wiki/Word%20problem | Word problem may refer to:
Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations
Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science
Word problem for gr... |
https://en.wikipedia.org/wiki/Compact%20quantum%20group | In mathematics, a compact quantum group is an abstract structure on a unital separable C*-algebra axiomatized from those that exist on the commutative C*-algebra of "continuous complex-valued functions" on a compact quantum group.
The basic motivation for this theory comes from the following analogy. The space of com... |
https://en.wikipedia.org/wiki/Dungeons%20%26%20Dragons%20gameplay | In the Dungeons & Dragons role-playing game, game mechanics and dice rolls determine much of what happens. These mechanics include:
Ability scores, the most basic statistics of a character, which influence all other statistics
Armor class, how well-protected a character is against physical attack
Hit points, how mu... |
https://en.wikipedia.org/wiki/Kit%20Fine | Kit Fine (born 26 March 1946) is a British philosopher, currently university professor and Silver Professor of Philosophy and Mathematics at New York University. Prior to joining the philosophy department of NYU in 1997, he taught at the University of Edinburgh, University of California, Irvine, University of Michigan ... |
https://en.wikipedia.org/wiki/Geir%20Ellingsrud | Geir Ellingsrud (born 29 November 1948) is professor of mathematics at the University of Oslo, where he specialises in algebra and algebraic geometry.
He took the cand.real. degree at the University of Oslo in 1973, and the doctorate at Stockholm University in 1982. He was a lecturer at Stockholm University from 1982 ... |
https://en.wikipedia.org/wiki/Atan2 | In computing and mathematics, the function atan2 is the 2-argument arctangent. By definition, is the angle measure (in radians, with ) between the positive -axis and the ray from the origin to the point in the Cartesian plane. Equivalently, is the argument (also called phase or angle) of the complex number
The fu... |
https://en.wikipedia.org/wiki/N%C3%B8rlund%E2%80%93Rice%20integral | In mathematics, the Nørlund–Rice integral, sometimes called Rice's method, relates the nth forward difference of a function to a line integral on the complex plane. It commonly appears in the theory of finite differences and has also been applied in computer science and graph theory to estimate binary tree lengths. It ... |
https://en.wikipedia.org/wiki/Pursuit%E2%80%93evasion | Pursuit–evasion (variants of which are referred to as cops and robbers and graph searching) is a family of problems in mathematics and computer science in which one group attempts to track down members of another group in an environment. Early work on problems of this type modeled the environment geometrically. In 197... |
https://en.wikipedia.org/wiki/Ecological%20correlation | In statistics, an ecological correlation (also spatial correlation) is a correlation between two variables that are group means, in contrast to a correlation between two variables that describe individuals. For example, one might study the correlation between physical activity and weight among sixth-grade children. A s... |
https://en.wikipedia.org/wiki/Babylonian%20mathematics | Babylonian mathematics (also known as Assyro-Babylonian mathematics) are the mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the centuries following the fall of Babylon in 539 BC. Babylonian mathematical texts are plentiful and well edited. With respect to time t... |
https://en.wikipedia.org/wiki/Composition%20algebra | In mathematics, a composition algebra over a field is a not necessarily associative algebra over together with a nondegenerate quadratic form that satisfies
for all and in .
A composition algebra includes an involution called a conjugation: The quadratic form is called the norm of the algebra.
A composition... |
https://en.wikipedia.org/wiki/Split-octonion | In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers. Unlike the standard octonions, they contain non-zero elements which are non-invertible. Also the signatures of their quadratic forms differ: the split-octonions have a split signature (4,4) whereas the octonions have... |
https://en.wikipedia.org/wiki/Symmetric%20monoidal%20category | In category theory, a branch of mathematics, a symmetric monoidal category is a monoidal category (i.e. a category in which a "tensor product" is defined) such that the tensor product is symmetric (i.e. is, in a certain strict sense, naturally isomorphic to for all objects and of the category). One of the prototyp... |
https://en.wikipedia.org/wiki/%2A-autonomous%20category | In mathematics, a *-autonomous (read "star-autonomous") category C is a symmetric monoidal closed category equipped with a dualizing object . The concept is also referred to as Grothendieck—Verdier category in view of its relation to the notion of Verdier duality.
Definition
Let C be a symmetric monoidal closed categ... |
https://en.wikipedia.org/wiki/Dinatural%20transformation | In category theory, a branch of mathematics, a dinatural transformation between two functors
written
is a function that to every object of associates an arrow
of
and satisfies the following coherence property: for every morphism of the diagram
commutes.
The composition of two dinatural transformations need... |
https://en.wikipedia.org/wiki/Transversal | Transversal may refer to:
Transversal (combinatorics), a set containing exactly one member of each of several other sets
Transversal (geometry), a line that intersects two or more lines at different points
Transversal (instrument making), a technique for subdividing graduations
Transversal Corporation, a software c... |
https://en.wikipedia.org/wiki/Table%20of%20Newtonian%20series | In mathematics, a Newtonian series, named after Isaac Newton, is a sum over a sequence written in the form
where
is the binomial coefficient and is the falling factorial. Newtonian series often appear in relations of the form seen in umbral calculus.
List
The generalized binomial theorem gives
A proof for this... |
https://en.wikipedia.org/wiki/Smooth%20infinitesimal%20analysis | Smooth infinitesimal analysis is a modern reformulation of the calculus in terms of infinitesimals. Based on the ideas of F. W. Lawvere and employing the methods of category theory, it views all functions as being continuous and incapable of being expressed in terms of discrete entities. As a theory, it is a subset of... |
https://en.wikipedia.org/wiki/Synthetic%20differential%20geometry | In mathematics, synthetic differential geometry is a formalization of the theory of differential geometry in the language of topos theory. There are several insights that allow for such a reformulation. The first is that most of the analytic data for describing the class of smooth manifolds can be encoded into certai... |
https://en.wikipedia.org/wiki/Order-5%20dodecahedral%20honeycomb | In hyperbolic geometry, the order-5 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol it has five dodecahedral cells around each edge, and each vertex is surrounded by twenty dodecahedra. Its vertex figure is an icosahedron.
D... |
https://en.wikipedia.org/wiki/Order-5%20cubic%20honeycomb | In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol it has five cubes around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb.
Description
Symmetry
It... |
https://en.wikipedia.org/wiki/Icosahedral%20honeycomb | In geometry, the icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol there are three icosahedra around each edge, and 12 icosahedra around each vertex, in a regular dodecahedral vertex figure.
Description
The dihedral angle of ... |
https://en.wikipedia.org/wiki/Fr%C3%A9chet%20manifold | In mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological space modeled on a Fréchet space in much the same way as a manifold is modeled on a Euclidean space.
More precisely, a Fréchet manifold consists of a Hausdorff space with an atlas of coordinate charts over Fréchet spaces whose tr... |
https://en.wikipedia.org/wiki/JoCaml | JoCaml is an experimental functional programming language derived from OCaml. It integrates the primitives of the join-calculus to enable flexible, type-checked concurrent and distributed programming. The current version of JoCaml is a re-implementation of the now unmaintained JoCaml made by Fabrice Le Fessant, featuri... |
https://en.wikipedia.org/wiki/Simple%20%28abstract%20algebra%29 | In mathematics, the term simple is used to describe an algebraic structure which in some sense cannot be divided by a smaller structure of the same type. Put another way, an algebraic structure is simple if the kernel of every homomorphism is either the whole structure or a single element. Some examples are:
A group ... |
https://en.wikipedia.org/wiki/Brauer%20algebra | In mathematics, a Brauer algebra is an associative algebra introduced by Richard Brauer in the context of the representation theory of the orthogonal group. It plays the same role that the symmetric group does for the representation theory of the general linear group in Schur–Weyl duality.
Structure
The Brauer algeb... |
https://en.wikipedia.org/wiki/Semisimple%20algebra | In ring theory, a branch of mathematics, a semisimple algebra is an associative artinian algebra over a field which has trivial Jacobson radical (only the zero element of the algebra is in the Jacobson radical). If the algebra is finite-dimensional this is equivalent to saying that it can be expressed as a Cartesian pr... |
https://en.wikipedia.org/wiki/Hereditary%20set | In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on.
Examples
For example, it is vacuously true that the empty set is a hereditary set, and thus the set containing only the... |
https://en.wikipedia.org/wiki/Innisfree%2C%20Alberta | Innisfree is a village in central Alberta, Canada. It is located 52 km west of Vermilion along the Yellowhead Highway.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, the Village of Innisfree had a population of 187 living in 94 of its 124 total private dwellings, a change of from its 2... |
https://en.wikipedia.org/wiki/Coefficient%20%28disambiguation%29 | Coefficient could have one of the following meanings:
Mathematics
A coefficient is a constant multiplication of a function.
The term differential coefficient has been mostly displaced by the modern term derivative.
Computing
In computer arithmetics, the term coefficient (floating point number) is also sometimes... |
https://en.wikipedia.org/wiki/Second%20partial%20derivative%20test | In mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local minimum, maximum or saddle point.
Functions of two variables
Suppose that is a differentiable real function of two variables whose second partial derivatives exist an... |
https://en.wikipedia.org/wiki/Polynomial%20transformation | In mathematics, a polynomial transformation consists of computing the polynomial whose roots are a given function of the roots of a polynomial. Polynomial transformations such as Tschirnhaus transformations are often used to simplify the solution of algebraic equations.
Simple examples
Translating the roots
Let
be ... |
https://en.wikipedia.org/wiki/J.%20Fuller | J. Fuller was a publisher in 18th-century England.
Publications
"A Lover of the Mathematics". A Mathematical Miscellany in Four Parts. 2nd ed., S. Fuller, Dublin, 1735. The First Part is: An Essay towards the Probable Solution of the Forty five Surprising PARADOXES, in GORDON's Geography.
Gentleman's Diary or The Mat... |
https://en.wikipedia.org/wiki/Near-miss%20Johnson%20solid | In geometry, a near-miss Johnson solid is a strictly convex polyhedron whose faces are close to being regular polygons but some or all of which are not precisely regular. Thus, it fails to meet the definition of a Johnson solid, a polyhedron whose faces are all regular, though it "can often be physically constructed wi... |
https://en.wikipedia.org/wiki/Bosonic%20field | In quantum field theory, a bosonic field is a quantum field whose quanta are bosons; that is, they obey Bose–Einstein statistics. Bosonic fields obey canonical commutation relations, as distinct from the canonical anticommutation relations obeyed by fermionic fields.
Examples include scalar fields, describing spin-0 p... |
https://en.wikipedia.org/wiki/Albert%20A.%20Murphree | Albert Alexander Murphree (April 29, 1870 – December 20, 1927) was an American college professor and university president. Murphree was a native of Alabama, and became a mathematics instructor after earning his bachelor's degree. He later served as the third president of Florida State College (later renamed Florida S... |
https://en.wikipedia.org/wiki/Probabilistic%20metric%20space | In mathematics, probabilistic metric spaces are a generalization of metric spaces where the distance no longer takes values in the non-negative real numbers , but in distribution functions.
Let D+ be the set of all probability distribution functions F such that F(0) = 0 (F is a nondecreasing, left continuous mappi... |
https://en.wikipedia.org/wiki/Difference%20hierarchy | In set theory, a branch of mathematics, the difference hierarchy over a pointclass is a hierarchy of larger pointclasses
generated by taking differences of sets. If Γ is a pointclass, then the set of differences in Γ is . In usual notation, this set is denoted by 2-Γ. The next level of the hierarchy is denoted by 3-Γ a... |
https://en.wikipedia.org/wiki/Bjarni%20J%C3%B3nsson | Bjarni Jónsson (February 15, 1920 – September 30, 2016) was an Icelandic mathematician and logician working in universal algebra, lattice theory, model theory and set theory. He was emeritus distinguished professor of mathematics at Vanderbilt University and the honorary editor in chief of Algebra Universalis. He recei... |
https://en.wikipedia.org/wiki/Schur-convex%20function | In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function that for all such that is majorized by , one has that . Named after Issai Schur, Schur-convex functions are used in the study of majorization. Every function that is convex and symmetric is ... |
https://en.wikipedia.org/wiki/National%20Bureau%20of%20Statistics%20of%20the%20Republic%20of%20Moldova | The National Bureau of Statistics of the Republic of Moldova (NBS; , abbr. BNS) is the central administrative authority which, as the central statistical body, manages and coordinates the activity in the field of statistics from the country.
In its activity, NBS acts according to the Constitution of the Republic of Mo... |
https://en.wikipedia.org/wiki/Quintile | Quintile may refer to:
In statistics, a quantile for the case where the sample or population is divided into fifths
Quintiles, a biotechnology research company based in the United States
Quintile (astrology), a type of astrological aspect formed by a 72° angle
See also
1/5 (disambiguation) |
https://en.wikipedia.org/wiki/Hermann%E2%80%93Mauguin%20notation | In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups. It is named after the German crystallographer Carl Hermann (who introduced it in 1928) and the French mineralogist Charles-Victor Mauguin (who modified it in 1931). This notation is sometimes... |
https://en.wikipedia.org/wiki/Seed%20dormancy | Seed dormancy is an evolutionary adaptation that prevents seeds from germinating during unsuitable ecological conditions that would typically lead to a low probability of seedling survival. Dormant seeds do not germinate in a specified period of time under a combination of environmental factors that are normally conduc... |
https://en.wikipedia.org/wiki/Freescape | Freescape is a video game engine, an early 3D game engine used in video games such as 1987's Driller. Graphics were composed mostly of solid geometry rendered without shading.
History
Developed in-house by Incentive Software, Freescape is considered to be one of the first proprietary 3D engines to be used in video gam... |
https://en.wikipedia.org/wiki/Projection%20%28mathematics%29 | In mathematics, a projection is an idempotent mapping of a set (or other mathematical structure) into a subset (or sub-structure). In this case, idempotent means that projecting twice is the same as projecting once. The restriction to a subspace of a projection is also called a projection, even if the idempotence pro... |
https://en.wikipedia.org/wiki/Multiple%20%28mathematics%29 | In mathematics, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, it can be said that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that is an integer.
When a and b are both integers... |
https://en.wikipedia.org/wiki/Projection%20%28set%20theory%29 | In set theory, a projection is one of two closely related types of functions or operations, namely:
A set-theoretic operation typified by the th projection map, written that takes an element of the Cartesian product to the value
A function that sends an element to its equivalence class under a specified equival... |
https://en.wikipedia.org/wiki/WFO | WFO may refer to:
Well-founded ordering, in mathematics, see well-founded relation
W.F.O. (album), a 1994 album by the thrash metal band Overkill
Workforce optimization, strategy for managing contact center staffing, processes, and workflows.
Weather Forecast Office, a local forecasting and warning office of the United... |
https://en.wikipedia.org/wiki/Lyndon%20word | In mathematics, in the areas of combinatorics and computer science, a Lyndon word is a nonempty string that is strictly smaller in lexicographic order than all of its rotations. Lyndon words are named after mathematician Roger Lyndon, who investigated them in 1954, calling them standard lexicographic sequences. Anatoly... |
https://en.wikipedia.org/wiki/Q-derivative | In mathematics, in the area of combinatorics and quantum calculus, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson. It is the inverse of Jackson's q-integration. For other forms of q-derivative, see .
Definition
The q-derivative of a function f(x) i... |
https://en.wikipedia.org/wiki/Categorical%20set%20theory | Categorical set theory is any one of several versions of set theory developed from or treated in the context of mathematical category theory.
See also
Categorical logic
References
External links
Category theory
Set theory
Formal methods
Categorical logic |
https://en.wikipedia.org/wiki/2004%20Australian%20Lacrosse%20League%20season | Results and statistics for the Australian Lacrosse League season of 2004, the inaugural season for the ALL.
Game 1
Saturday, 23 October 2004, Melbourne, Victoria
Goalscorers:
Vic: D Pusvacietis 3–1, D Stiglich 3–1, W Henderson 2-2, D Nicholas 2–1, R Stark 2, R Garnsworthy 1, M Sevior 1.
WA: C Hayes 2, J Stack 2, L B... |
https://en.wikipedia.org/wiki/2005%20Australian%20Lacrosse%20League%20season | These are the results and statistics for the Australian Lacrosse League season of 2005.
Game 8
Friday, 21 October 2005, Adelaide, South Australia
Goalscorers:
SA: A Lawman 5, L Perham 3–2, M Mangan 2, S Connolly 1, S Robb 1, P Inge 0–2, A Feleppa 0–1, S Gilbert 0–1, R Stone 0–1.
WA: D Whiteman 3, R Brown 2–1, K Delfs... |
https://en.wikipedia.org/wiki/Rotation%20number | In mathematics, the rotation number is an invariant of homeomorphisms of the circle.
History
It was first defined by Henri Poincaré in 1885, in relation to the precession of the perihelion of a planetary orbit. Poincaré later proved a theorem characterizing the existence of periodic orbits in terms of rationality of ... |
https://en.wikipedia.org/wiki/Decagonal%20prism | In geometry, the decagonal prism is the eighth in the infinite set of prisms, formed by ten square side faces and two regular decagon caps. With twelve faces, it is one of many nonregular dodecahedra. The decagonal prism has 12 faces, 30 edges, and 20 vertices, so, it is a dodecahedron (while the term is usually applie... |
https://en.wikipedia.org/wiki/Dodecagonal%20prism | In geometry, the dodecagonal prism is the tenth in an infinite set of prisms, formed by square sides and two regular dodecagon caps.
If faces are all regular, it is a uniform polyhedron.
Use
It is used in the construction of two prismatic uniform honeycombs:
The new British one pound (£1) coin, which entered circ... |
https://en.wikipedia.org/wiki/Decagonal%20antiprism | In geometry, the decagonal antiprism is the eighth in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.
Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.
... |
https://en.wikipedia.org/wiki/E.%20J.%20G.%20Pitman | Edwin James George Pitman (29 October 1897 – 21 July 1993) was an Australian mathematician who made significant contributions to statistics and probability theory. In particular, he is remembered primarily as the originator of the Pitman permutation test, Pitman nearness and Pitman efficiency.
His work the Pitman meas... |
https://en.wikipedia.org/wiki/List%20of%20statistical%20software | Statistical software are specialized computer programs for analysis in statistics and econometrics.
Open-source
ADaMSoft – a generalized statistical software with data mining algorithms and methods for data management
ADMB – a software suite for non-linear statistical modeling based on C++ which uses automatic diff... |
https://en.wikipedia.org/wiki/Schreier%20vector | In mathematics, especially the field of computational group theory, a Schreier vector is a tool for reducing the time and space complexity required to calculate orbits of a permutation group.
Overview
Suppose G is a finite group with generating sequence which acts on the finite set . A common task in computational ... |
https://en.wikipedia.org/wiki/Base%20%28group%20theory%29 | Let be a finite permutation group acting on a set . A sequence
of k distinct elements of is a base for G if the only element of which fixes every pointwise is the identity element of .
Bases and strong generating sets are concepts of importance in computational group theory. A base and a strong generating s... |
https://en.wikipedia.org/wiki/AN/APG-77 | The AN/APG-77 is a multifunction low probability of intercept radar installed on the F-22 Raptor fighter aircraft. The radar was designed and initially built by Westinghouse and Texas Instruments, and production continued with their respective successors Northrop Grumman and Raytheon after acquisition.
It is a solid-s... |
https://en.wikipedia.org/wiki/Converse%20relation | In mathematics, the converse relation, or transpose, of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of' is the relation 'parent of'. In formal terms, if and are sets and is a relation from to then is the... |
https://en.wikipedia.org/wiki/Delay%20differential%20equation | In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times.
DDEs are also called time-delay systems, systems with aftereffect or dead-time, hereditary systems... |
https://en.wikipedia.org/wiki/Method%20of%20averaging | In mathematics, more specifically in dynamical systems, the method of averaging (also called averaging theory) exploits systems containing time-scales separation: a fast oscillation versus a slow drift. It suggests that we perform an averaging over a given amount of time in order to iron out the fast oscillations and o... |
https://en.wikipedia.org/wiki/Topology%20table | A topology table is used by routers that route traffic in a network. It consists of all routing tables inside the Autonomous System where the router is positioned. Each router using the routing protocol EIGRP then maintains a topology table for each configured network protocol — all routes learned, that are leading to ... |
https://en.wikipedia.org/wiki/Nonnegative%20matrix | In mathematics, a nonnegative matrix, written
is a matrix in which all the elements are equal to or greater than zero, that is,
A positive matrix is a matrix in which all the elements are strictly greater than zero. The set of positive matrices is a subset of all non-negative matrices. While such matrices are commo... |
https://en.wikipedia.org/wiki/Fundamental%20vector%20field | In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of Ham... |
https://en.wikipedia.org/wiki/ISBL | ISBL (Information Systems Base Language) is the relational algebra notation that was invented for PRTV, one of the earliest database management systems to implement E.F. Codd's relational model of data.
Example
OS = ORDERS * SUPPLIERS
LIST OS: NAME="Brooks" % SNAME, ITEM, PRICE
See also
IBM Business System 12 - An... |
https://en.wikipedia.org/wiki/Generalized%20quadrangle | In geometry, a generalized quadrangle is an incidence structure whose main feature is the lack of any triangles (yet containing many quadrangles). A generalized quadrangle is by definition a polar space of rank two. They are the with n = 4 and near 2n-gons with n = 2. They are also precisely the partial geometries ... |
https://en.wikipedia.org/wiki/Polar%20space | In mathematics, in the field of geometry, a polar space of rank n (), or projective index , consists of a set P, conventionally called the set of points, together with certain subsets of P, called subspaces, that satisfy these axioms:
Every subspace is isomorphic to a projective space with and K a division ring. (... |
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