Examples
An instance of a concept.
- Concepts 2778
- Definitions 2634
- Statements 1926
- Conjectures 38
- Problems 54
- Examples 213
- Counterexamples 52
- Objects 99
- Proofs 10
- Computations 1
- Topics 1
Ideas 151–213 of 213.
| Name | Kind | Subject |
|---|---|---|
| Integers modulo n form a cyclic group | Example | Group theory and generalizations |
| Seifert–Weber space | Example | Manifolds and cell complexes |
| Nested radical | Example | Sequences, series, summability |
| Laguerre equation | Example | Ordinary differential equations |
| Bounded sequences ℓ∞ | Example | Functional analysis |
| M/M/1 queue | Example | Probability theory and stochastic processes |
| Space of convergent sequences | Example | Functional analysis |
| Smith–Volterra–Cantor set | Example | Measure and integration |
| Abel equation of the first kind | Example | Ordinary differential equations |
| Hopf link | Example | Manifolds and cell complexes |
| Stirling's series | Example | Special functions |
| Hopf fibration | Example | Algebraic topology |
| Rössler attractor | Example | Ordinary differential equations |
| Wallpaper group | Example | Group theory and generalizations |
| Ackermann function | Example | Mathematical logic and foundations |
| The cosets of a subgroup that is not normal do not form a group | Example | Group theory and generalizations |
| Surface of revolution | Example | Differential geometry |
| Poincaré homology sphere | Example | Manifolds and cell complexes |
| Sierpiński space | Example | General topology |
| Sierpiński carpet | Example | General topology |
| Airy equation | Example | Ordinary differential equations |
| Doubling on the integers is not an isomorphism | Example | Group theory and generalizations |
| Noncommutative torus | Example | Functional analysis |
| Kempner series | Example | Sequences, series, summability |
| Space-filling curve | Example | General topology |
| Counting measure | Example | Measure and integration |
| The symmetric group S3 is not abelian | Example | Group theory and generalizations |
| Ising model | Example | Statistical mechanics, structure of matter |
| The natural numbers under addition are not a group | Example | Group theory and generalizations |
| Iterated exponentiation | Example | Sequences, series, summability |
| Grassmannian as classifying space | Example | Algebraic topology |
| Dirichlet distribution | Example | Probability theory and stochastic processes |
| Quintic equation | Example | Field theory and polynomials |
| Tsirelson space | Example | Functional analysis |
| Arithmetic progression | Example | Number theory |
| Duffing equation | Example | Ordinary differential equations |
| The alternating group A3 is normal in S3 | Example | Group theory and generalizations |
| The alternating group is the kernel of the sign | Example | Group theory and generalizations |
| Whitehead link | Example | Manifolds and cell complexes |
| Asymmetric simple exclusion process | Example | Probability theory and stochastic processes |
| Kepler problem | Example | Mechanics of particles and systems |
| 1 − 1 + 2 − 6 + 24 − 120 + ⋯ | Example | Sequences, series, summability |
| The odd integers are not a subgroup of the integers | Example | Group theory and generalizations |
| Pseudo-arc | Example | General topology |
| Trefoil knot | Example | Manifolds and cell complexes |
| Reeb foliation | Example | Manifolds and cell complexes |
| d'Alembert's equation | Example | Ordinary differential equations |
| Legendre's equation | Example | Ordinary differential equations |
| Stiefel manifold | Example | Algebraic topology |
| Space of null sequences | Example | Functional analysis |
| Van der Pol oscillator | Example | Ordinary differential equations |
| Menger sponge | Example | General topology |
| Borromean rings | Example | Manifolds and cell complexes |
| Lorenz system | Example | Ordinary differential equations |
| A subgroup of order two in S3 is not normal | Example | Group theory and generalizations |
| List of small groups | Example | Group theory and generalizations |
| Orders of the elements of S3 | Example | Group theory and generalizations |
| Voter model | Example | Probability theory and stochastic processes |
| Hill differential equation | Example | Ordinary differential equations |
| 1 + 1 + 1 + 1 + ⋯ | Example | Sequences, series, summability |
| Doob martingale | Example | Probability theory and stochastic processes |
| Hermite equation | Example | Ordinary differential equations |
| Conway knot | Example | Manifolds and cell complexes |