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This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a general theorem, could perhaps be considered an "example"). The discussion page for list of mathematical topics has some comments on this. Eventually this page may have its own discussion page. This page links to itself in order that edits to this page will be included among related changes when the user clicks on that button. These list of mathematical topics pages collect pointers to all articles related to mathematics. ...
The concrete example within the article titled Rao-Blackwell theorem is perhaps one of the best ways for a probabilist ignorant of statistical inference to get a quick impression of the flavor of that subject. In statistics, the Rao-Blackwell theorem describes a technique that can transform an absurdly crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. ...
A probabilist is either a mathematician specializing in probability theory, or one who espouses probabilism in theology or philosophy. ...
Uncategorized examples, alphabetized
- Hall-Janko graph
- Higman-Sims graph
- Hilbert matrix
- Wallpaper group
- What is trigonometry used for? (The "examples" in that article are not mathematical objects, i.e., numbers, functions, equations, sets, etc., but applications of trigonometry or scientific fields to which trigonometry is applied.)
A drawing of Alexanders horned sphere Alexanders Horned Sphere is one of the most famous pathological examples in mathematics. ...
In mathematics, the Cantor function is a function c : [0,1] → [0,1] defined as follows: Express x in base 3. ...
The Cantor set, introduced by German mathematician Georg Cantor, is a remarkable construction involving only the real numbers between zero and one. ...
It has been suggested that this article or section be merged with Checking if a coin is fair. ...
This article illustrates the central limit theorem via an example for which the computation can be done quickly by hand on paper, unlike the more computing-intensive example in the article titled illustration of the central limit theorem. ...
Differential equations are a basic tool for understanding the physical world. ...
In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. ...
Introduction The iterated integral does not converge absolutely, i. ...
In complex analysis, the evaluation of integrals of real-valued functions along intervals on the real line, is not readily found with certain integrands and methods involving only real variables. ...
A separable first order ordinary differential equation A separable ordinary differential equation of the first order has the general form: where f(t) is some known function. ...
Some elementary examples of groups in mathematics are given on Group (mathematics). ...
This page contains examples of Markov chains in action. ...
This page lists some examples of vector spaces. ...
A finite geometry is any geometric system that has only a finite number of points. ...
A frieze group is an infinite discrete symmetry group for a pattern on a strip (infinitely wide rectangle). ...
In graph theory, the Hall-Janko graph is the unique strongly regular graph on 100 nodes, each of valency 36, such that every pair of neighboring nodes has 14 mutual neighbors and every pair of non-neighboring nodes has 12 mutual neighbors. ...
In mathematics, the Higman-Sims graph is the unique strongly regular graph with 100 vertices and valency 22, where no neighboring pair of verticies share a common neighbor and each non-neighboring pair of verticies share six common neighbors. ...
In linear algebra, a Hilbert matrix is a matrix with elements Hij: = 1 /(i + j − 1) For example, this is the 5 × 5 Hilbert matrix: The Hilbert matrix can be regarded as derived from the integral i. ...
Here is an illustration of density estimation. ...
Here is an illustration of a low-discrepancy sequence. ...
Here is an illustration of the central limit theorem. ...
The function Consider the real function How it is ill_behaved One can show that f has derivatives of all orders at every point on the real number line including 0. ...
In mathematics, the Leech lattice is a lattice Λ in R24 discovered John Leech ( 16 (1964), 657--682). ...
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type), or one of 26 sporadic groups. ...
In topology, the long line is a topological space analogous to the real line, but much longer. ...
In probability theory, it is almost a cliche to say that uncorrelatedness of two random variables does not entail independence. ...
In probability theory, a pairwise independent collection of random variables is a set of random variables any two of which are independent. ...
The Petersen graph Another drawing of the Petersen graph, with only two crossings Another drawing, with each edge the same length The Petersen graph is a small graph that serves as a useful example and counterexample in graph theory. ...
In topology, Sierpiński space S is the simplest example of a topological space that does not satisfy the T1 axiom. ...
Let be a sequence of independent and identically distributed random coin flips (i. ...
The title given to this article is incorrect due to technical limitations. ...
In mathematics, p-adic solenoid is the inverse limit of the inverse system (Si, q i) (i runs over natural numbers), where each Si is a circle, and q i wraps the circle Si+1 p times around the circle Si. ...
In topology, the Sorgenfrey plane is a frequently-cited counterexample to many otherwise plausible-sounding conjectures. ...
Steins example (after Charles Stein) is a very important example in decision theory which is much celebrated since it contradicts a mathematicians natural intuition. ...
In the branch of mathematics known as topology, the topologists sine curve is an example that has several interesting properties. ...
In mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c0 space can be embedded. ...
In the mathematical field of graph theory, the Tutte eight cage is the smallest cubic graph of girth 8. ...
In mathematics, the Weierstrass function was the first example found of a kind of function with the property that it is continuous everywhere but differentiable nowhere. ...
In numerical analysis, Wilkinsons polynomial of degree k is given by the formula which has k roots: 1, 2, ..., k. ...
Example of a Persian design with wallpaper group p6m A wallpaper group (or plane crystallographic group) is a mathematical device used to describe and classify repetitive designs on two-dimensional surfaces, such as walls. ...
Wikipedia does not yet have an article with this exact name. ...
Specialized lists of mathematical examples This is a list of curves, by Wikipedia page. ...
This is a list of useful examples in general topology, a field of mathematics. ...
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type), or one of 26 sporadic groups. ...
This article contains an alphabetical list of knots. ...
This is a list of particular manifolds, by Wikipedia page. ...
Following is a list of some mathematically well-defined shapes. ...
Listed below are some important classes of matrices used in mathematics: (0,1)-matrix or binary matrix - a matrix with all elements either 0 or 1. ...
This page lists the regular polytopes in Euclidean space. ...
The following list in mathematics contains the finite groups of small order up to group isomorphism. ...
Sporadic groups - See also list of finite simple groups.
- Harada-Norton group
- Held group
- Higman-Sims group
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type), or one of 26 sporadic groups. ...
In mathematics, the Baby Monster group B (or just Baby Monster) is a group of order 241 313 56 72 11 13 17 19 23 31 47 = 4154781481226426191177580544000000 ≈ 4 1033. ...
In mathematics, the Conway groups Co1, Co2, and Co3 are three sporadic groups discovered by John Horton Conway. ...
In mathematics, the term Fischer groups usually refers to the three finite groups denoted Fi22, Fi23, and Fi24, all of which are simple groups, and constitute three of the 26 sporadic groups. ...
In mathematics, the Harada-Norton group, HN is the sporadic simple group of order . It is named for Koichiro Harada and Simon Norton. ...
In mathematics, the Held group, He, is the unique finite simple sporadic group of order . ...
In mathematics, the Higman-Sims group is a finite sporadic simple group of order 44352000. ...
In mathematics, the Janko groups J1, J2, J3 and J4 are four of the twenty-six sporadic groups; their respective orders are: J1 The smallest Janko group, J1 of order 175560, has a presentation in terms of two generators a and b and c = abab-1 as It can also...
In mathematics, the Lyons group, Ly, is a finite sporadic simple group of order It can be characterized as the unique simple group where the centralizer of an involution, and hence of all the involutions, is isomorphic to the nontrivial central extension of the cyclic group C2 by the alternating...
The extended binary Golay code is an error-correcting code which encodes 12 bits of data in a 24-bit word in such a way that any triple-bit error can be corrected and any quadruple-bit error can be detected. ...
In mathematics, the Conway groups Co1, Co2, and Co3 are three sporadic groups discovered by John Horton Conway. ...
In mathematics, the Monster group M is a group of order 246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 = 808017424794512875886459904961710757005754368000000000 ≈ 8 · 1053. ...
In mathematics, the ONan group, ON is the sporadic simple group of order . It is named for Michael ONan who discovered it. ...
The Rudvalis group, Ru, is the sporadic simple group of order . It is named for Arunas Rudvalis. ...
In mathematics, the Conway groups Co1, Co2, and Co3 are three sporadic groups discovered by John Horton Conway. ...
This page is about the sporadic finite simple group Th F, T and V see Thompson groups. ...
See also List of examples in general topology This is a list of useful examples in general topology, a field of mathematics. ...
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