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.
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.
Uncategorized examples, alphabetized
Alexander horned sphere
All horses are the same color
Cantor function
Cantor set
Checking if a coin is biased
Concrete illustration of the central limit theorem
Differential equations of mathematical physics
Dirichlet function
Discontinuous linear map
Efron's non-transitive dice
Example of a game without a value
Examples of contour integration
Examples of differential equations
Examples of generating functions
Examples of groups
List of the 230 crystallographic 3D space groups
Examples of Markov chains
Examples of vector spaces
Fano plane
Frieze group
Gray graph
Hall–Janko graph
Higman–Sims graph
Hilbert matrix
Illustration of a low-discrepancy sequence
Illustration of the central limit theorem
An infinitely differentiable function that is not analytic
Leech lattice
Lewy's example on PDEs
List of finite simple groups
Long line
Normally distributed and uncorrelated does not imply independent
Pairwise independence of random variables need not imply mutual independence. Petersen graph Sierpinski space Simple example of Azuma's inequality for coin flips Proof that 22/7 exceeds π Solenoid (mathematics) Sorgenfrey plane Stein's example Three cards and a top hat Topologist's sine curve Tsirelson space Tutte eight cage Weierstrass function Wilkinson's polynomial Wallpaper group Uses of trigonometry (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.)
Specialized lists of mathematical examples
List of algebraic surfaces
List of curves
List of complexity classes
List of examples in general topology
List of finite simple groups
List of Fourier-related transforms
List of mathematical functions
List of knots
List of mathematical knots and links
List of manifolds
List of mathematical shapes
List of matrices
List of numbers
List of polygons, polyhedra and polytopes
List of prime numbers —not merely a numerical table, but a list of various kinds of prime numbers, each with a table List of regular polytopes List of surfaces List of small groups Table of Lie groups
Sporadic groups
See also list of finite simple groups.