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 451–600 of 672.
| Name | Kind | Subject |
|---|---|---|
| Penrose tiling | Example | Convex and discrete geometry |
| Kronig–Penney model | Example | Statistical mechanics, structure of matter |
| Exceptional Lie group E8 | Example | Topological groups, Lie groups |
| Sherrington–Kirkpatrick model | Example | Statistical mechanics, structure of matter |
| Rössler attractor | Example | Ordinary differential equations |
| Hypernetted-chain equation | Example | Statistical mechanics, structure of matter |
| Gauss map | Example | Number theory |
| Lippmann–Schwinger equation | Example | Quantum theory |
| Real projective plane | Example | Geometry |
| Wallpaper group | Example | Group theory and generalizations |
| Ogden hyperelastic model | Example | Mechanics of deformable solids |
| Rayleigh flow | Example | Fluid mechanics |
| n-vector model | Example | Statistical mechanics, structure of matter |
| Abelian sandpile model | Example | Statistical mechanics, structure of matter |
| 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 |
| Smale horseshoe | Example | Dynamical systems and ergodic theory |
| Otto cycle | Example | Classical thermodynamics, heat transfer |
| Spherical harmonics as representations of SO(3) | Example | Abstract harmonic analysis |
| Wilkinson's polynomial | Example | Numerical analysis |
| Surface of revolution | Example | Differential geometry |
| Einstein–de Sitter universe | Example | Relativity and gravitational theory |
| Ellis wormhole | Example | Relativity and gravitational theory |
| Swallowtail catastrophe | Example | Global analysis, analysis on manifolds |
| Foucault pendulum | Example | Mechanics of particles and systems |
| Poincaré homology sphere | Example | Manifolds and cell complexes |
| Variety of lattices | Example | Order, lattices, ordered algebraic structures |
| Kerr–Newman metric | Example | Relativity and gravitational theory |
| K-theory of Cuntz algebras | Example | Functional analysis |
| XXZ model | Example | Statistical mechanics, structure of matter |
| Tetration | Example | Real functions |
| Sierpiński space | Example | General topology |
| Einstein solid | Example | Statistical mechanics, structure of matter |
| Kármán vortex street | Example | Fluid mechanics |
| Poiseuille flow | Example | Fluid mechanics |
| Interior Schwarzschild metric | Example | Relativity and gravitational theory |
| Random energy model | Example | Statistical mechanics, structure of matter |
| Hypercube | Example | Convex and discrete geometry |
| Sierpiński carpet | Example | General topology |
| Particular values of the gamma function | Example | Special functions |
| Transverse-field Ising model | Example | Statistical mechanics, structure of matter |
| Airy equation | Example | Ordinary differential equations |
| Hopf surface | Example | Several complex variables and analytic spaces |
| Maxwell material | Example | Mechanics of deformable solids |
| Rudin–Shapiro polynomials | Example | Harmonic analysis on Euclidean spaces |
| Doubling on the integers is not an isomorphism | Example | Group theory and generalizations |
| Sawtooth wave | Example | Harmonic analysis on Euclidean spaces |
| Noncommutative torus | Example | Functional analysis |
| Repetition code | Example | Information and communication theory, circuits |
| SL(2,R) | Example | Topological groups, Lie groups |
| M/G/1 queue | Example | Probability theory and stochastic processes |
| Stag hunt | Example | Game theory, economics, finance, and other social and behavioral sciences |
| Meyer wavelet | Example | Harmonic analysis on Euclidean spaces |
| Kempner series | Example | Sequences, series, summability |
| Hankel transform of radial functions in the plane | Example | Integral transforms, operational calculus |
| Logistic map | Example | Dynamical systems and ergodic theory |
| Space-filling curve | Example | General topology |
| Counting measure | Example | Measure and integration |
| Tamari lattice | Example | Order, lattices, ordered algebraic structures |
| Dual groups of the integers and the real line | Example | Abstract harmonic analysis |
| The symmetric group S3 is not abelian | Example | Group theory and generalizations |
| Airy beam | Example | Optics, electromagnetic theory |
| Lorentz group | Example | Topological groups, Lie groups |
| Ising model | Example | Statistical mechanics, structure of matter |
| Representation theory of the Lorentz group | Example | Topological groups, Lie groups |
| Elastic pendulum | Example | Mechanics of particles and systems |
| Coiflet | Example | Harmonic analysis on Euclidean spaces |
| The natural numbers under addition are not a group | Example | Group theory and generalizations |
| Iterated exponentiation | Example | Sequences, series, summability |
| Laplace transform of a power function | Example | Integral transforms, operational calculus |
| Grassmannian as classifying space | Example | Algebraic topology |
| Steiner chain | Example | Geometry |
| Poincaré half-plane model | Example | Geometry |
| Dihedral quandle | Example | Manifolds and cell complexes |
| Segre embedding | Example | Algebraic geometry |
| Analemma | Example | Astronomy and astrophysics |
| Fuller's phenomenon | Example | Calculus of variations and optimal control; optimization |
| Semiautomaton as a unary algebra | Example | General algebraic systems |
| Dirichlet distribution | Example | Probability theory and stochastic processes |
| Additive white Gaussian noise channel | Example | Information and communication theory, circuits |
| Median algebra as a ternary algebra | Example | General algebraic systems |
| Quintic equation | Example | Field theory and polynomials |
| Octonionic projective plane | Example | Geometry |
| Affine plane over a finite field | Example | Geometry |
| Tsirelson space | Example | Functional analysis |
| Edwards–Anderson model | Example | Statistical mechanics, structure of matter |
| Arithmetic progression | Example | Number theory |
| Mellin transform of a theta series and the zeta function | Example | Number theory |
| Fabry–Pérot interferometer | Example | Optics, electromagnetic theory |
| Kelvin solution for a point force | Example | Mechanics of deformable solids |
| Duffing equation | Example | Ordinary differential equations |
| Kapitza's pendulum | Example | Mechanics of particles and systems |
| Carleman's singular integral equation | Example | Integral equations |
| Belousov–Zhabotinsky reaction | Example | Biology and other natural sciences |
| Spherical model | Example | Statistical mechanics, structure of matter |
| Falkner–Skan boundary layer | Example | Fluid mechanics |
| Vaidya metric | Example | Relativity and gravitational theory |
| Fundamental domain of the modular group | Example | Number theory |
| Permutohedron | Example | Convex and discrete geometry |
| Fatou–Bieberbach domain | Example | Several complex variables and analytic spaces |
| Chua's circuit | Example | Information and communication theory, circuits |
| K1 of a Euclidean domain | Example | K-theory |
| The alternating group A3 is normal in S3 | Example | Group theory and generalizations |
| Green's function of the ball | Example | Potential theory |
| Möbius–Kantor configuration | Example | Combinatorics |
| Square wave | Example | Harmonic analysis on Euclidean spaces |
| Crown | Example | Order, lattices, ordered algebraic structures |
| Rainbow | Example | Optics, electromagnetic theory |
| Blotto game | Example | Game theory, economics, finance, and other social and behavioral sciences |
| The alternating group is the kernel of the sign | Example | Group theory and generalizations |
| Dimer model | Example | Statistical mechanics, structure of matter |
| Chladni figures | Example | Mechanics of deformable solids |
| Taft algebra | Example | Associative rings and algebras |
| Su–Schrieffer–Heeger model | Example | Statistical mechanics, structure of matter |
| Directed percolation | Example | Statistical mechanics, structure of matter |
| Whitehead link | Example | Manifolds and cell complexes |
| Orthogonal Lie algebra | Example | Nonassociative rings and algebras |
| Burke–Schumann flame | Example | Classical thermodynamics, heat transfer |
| Asymmetric simple exclusion process | Example | Probability theory and stochastic processes |
| Basel problem via Fourier series | Example | Harmonic analysis on Euclidean spaces |
| Kepler problem | Example | Mechanics of particles and systems |
| 1 − 1 + 2 − 6 + 24 − 120 + ⋯ | Example | Sequences, series, summability |
| Debye model | Example | Statistical mechanics, structure of matter |
| Pin group | Example | Topological groups, Lie groups |
| Toeplitz extension | Example | Functional analysis |
| Self-dual group | Example | Abstract harmonic analysis |
| Delta potential | Example | Quantum theory |
| Spherical pendulum | Example | Mechanics of particles and systems |
| Navarro–Frenk–White profile | Example | Astronomy and astrophysics |
| Lemaître–Tolman metric | Example | Relativity and gravitational theory |
| Geodesic flow | Example | Dynamical systems and ergodic theory |
| The odd integers are not a subgroup of the integers | Example | Group theory and generalizations |
| Pseudo-arc | Example | General topology |
| Weaire–Phelan structure | Example | Convex and discrete geometry |
| Blasius boundary layer | Example | Fluid mechanics |
| Upper-convected Maxwell model | Example | Fluid mechanics |
| Oldroyd-B model | Example | Fluid mechanics |
| Cusp catastrophe | Example | Global analysis, analysis on manifolds |
| Cantor algebra | Example | Order, lattices, ordered algebraic structures |
| Wilson–Cowan neural field equation | Example | Biology and other natural sciences |
| Z-channel | Example | Information and communication theory, circuits |
| Trefoil knot | Example | Manifolds and cell complexes |
| Pappus configuration | Example | Combinatorics |
| Herschel–Bulkley fluid | Example | Fluid mechanics |
| Reeb foliation | Example | Manifolds and cell complexes |
| d'Alembert's equation | Example | Ordinary differential equations |
| Legendre's equation | Example | Ordinary differential equations |
| Airfoil equation | Example | Integral equations |
| Bose gas | Example | Statistical mechanics, structure of matter |
| Binary symmetric channel | Example | Information and communication theory, circuits |