Examples
An instance of a concept.
- Concepts 7386
- Definitions 7188
- Statements 3950
- Conjectures 117
- Problems 256
- Examples 672
- Counterexamples 88
- Objects 168
- Proofs 11
- Computations 1
- Topics 1
Ideas 601–672 of 672.
| Name | Kind | Subject |
|---|---|---|
| Centipede game | Example | Game theory, economics, finance, and other social and behavioral sciences |
| K2 of a field | Example | K-theory |
| Stiefel manifold | Example | Algebraic topology |
| Lattice gas | Example | Statistical mechanics, structure of matter |
| Besicovitch set of measure zero | Example | Measure and integration |
| Laplacian on the Sierpiński gasket | Example | Potential theory |
| Neo-Hookean solid | Example | Mechanics of deformable solids |
| Jacobi ellipsoid | Example | Astronomy and astrophysics |
| Lie algebra of an associative algebra | Example | Nonassociative rings and algebras |
| Laplace transform method for the heat equation | Example | Integral transforms, operational calculus |
| Space of null sequences | Example | Functional analysis |
| AKLT model | Example | Statistical mechanics, structure of matter |
| Van der Pol oscillator | Example | Ordinary differential equations |
| Dipole antenna radiation | Example | Optics, electromagnetic theory |
| Category of sets | Example | Category theory; homological algebra |
| Laplace transform of the Heaviside step function | Example | Integral transforms, operational calculus |
| Menger sponge | Example | General topology |
| Diffeomorphism group | Example | Global analysis, analysis on manifolds |
| Morlet wavelet | Example | Harmonic analysis on Euclidean spaces |
| Borromean rings | Example | Manifolds and cell complexes |
| Lorenz system | Example | Ordinary differential equations |
| Oppenheimer–Snyder model of collapse | Example | Relativity and gravitational theory |
| Stirling cycle | Example | Classical thermodynamics, heat transfer |
| Kerr metric | Example | Relativity and gravitational theory |
| Kondo model | Example | Statistical mechanics, structure of matter |
| Atwood machine | Example | Mechanics of particles and systems |
| Laplace transform of the exponential function | Example | Integral transforms, operational calculus |
| Wess–Zumino–Witten model | Example | Quantum theory |
| Padua points | Example | Approximations and expansions |
| A subgroup of order two in S3 is not normal | Example | Group theory and generalizations |
| Taylor–von Neumann–Sedov blast wave | Example | Fluid mechanics |
| Face lattice | Example | Convex and discrete geometry |
| Sturmian word | Example | Computer science |
| Einstein static universe | Example | Relativity and gravitational theory |
| Potential flow around a circular cylinder | Example | Fluid mechanics |
| Torus as a group | Example | Topological groups, Lie groups |
| Three-dimensional gravity and BTZ black hole | Example | Relativity and gravitational theory |
| Wess–Zumino model | Example | Quantum theory |
| Diffusion-limited aggregation | Example | Statistical mechanics, structure of matter |
| Einstein ring | Example | Relativity and gravitational theory |
| 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 |
| Chandrasekhar's X- and Y-functions | Example | Integral equations |
| 1 + 1 + 1 + 1 + ⋯ | Example | Sequences, series, summability |
| Michell structures | Example | Mechanics of deformable solids |
| Worm-like chain | Example | Statistical mechanics, structure of matter |
| Lieb–Liniger model | Example | Statistical mechanics, structure of matter |
| Exceptional Lie group G2 | Example | Topological groups, Lie groups |
| Bunimovich stadium | Example | Dynamical systems and ergodic theory |
| t–J model | Example | Statistical mechanics, structure of matter |
| Lieb–Liniger integral equation | Example | Statistical mechanics, structure of matter |
| Doob martingale | Example | Probability theory and stochastic processes |
| Lebesgue measure as Haar measure | Example | Abstract harmonic analysis |
| Hopf manifold | Example | Several complex variables and analytic spaces |
| Fourier series of Bernoulli polynomials | Example | Harmonic analysis on Euclidean spaces |
| K2 of the integers | Example | K-theory |
| Hermite equation | Example | Ordinary differential equations |
| Karp's 21 NP-complete problems | Example | Computer science |
| Spin factor | Example | Nonassociative rings and algebras |
| Haar measure on the circle | Example | Abstract harmonic analysis |
| Flexible polyhedron | Example | Convex and discrete geometry |
| Symplectic Lie algebra | Example | Nonassociative rings and algebras |
| Laplace transform of a periodic function | Example | Integral transforms, operational calculus |
| Runge's phenomenon | Example | Approximations and expansions |
| Hilbert transform of sinusoids | Example | Integral transforms, operational calculus |
| Hofstadter sequences | Example | Number theory |
| Conway knot | Example | Manifolds and cell complexes |
| Category of small categories | Example | Category theory; homological algebra |
| Free magma | Example | General algebraic systems |
| Heisenberg group | Example | Topological groups, Lie groups |