Examples
An instance of a concept.
- Concepts 5206
- Definitions 5027
- Statements 3081
- Conjectures 75
- Problems 147
- Examples 431
- Counterexamples 71
- Objects 132
- Proofs 11
- Computations 1
- Topics 1
Ideas 151–300 of 431.
| Name | Kind | Subject |
|---|---|---|
| Prandtl's lifting-line equation | Example | Fluid mechanics |
| Klein bottle | Example | Manifolds and cell complexes |
| Catenoid | Example | Differential geometry |
| Population balance equation | Example | Integral equations |
| The left cosets of a subgroup of order two in S3 | Example | Group theory and generalizations |
| Gamma function as Mellin transform of the exponential | Example | Integral transforms, operational calculus |
| Schwarzschild metric | Example | Relativity and gravitational theory |
| Divergent asymptotic series | Example | Approximations and expansions |
| Jónsson–Tarski algebra | Example | General algebraic systems |
| Table of Lie groups | Example | Topological groups, Lie groups |
| Hawaiian earring | Example | Algebraic topology |
| Enneper surface | Example | Differential geometry |
| Orders of the elements of the integers modulo 6 | Example | Group theory and generalizations |
| The integers modulo 2 and the group of signs are isomorphic | Example | Group theory and generalizations |
| The exponential map from the additive reals to the positive reals | Example | Group theory and generalizations |
| Complex projective space | Example | Several complex variables and analytic spaces |
| Dirac comb | Example | Harmonic analysis on Euclidean spaces |
| KdV equation as an integrable system | Example | Dynamical systems and ergodic theory |
| Eisenstein series as a double series | Example | Sequences, series, summability |
| Affine space as an algebra | Example | General algebraic systems |
| Hyperboloid model | Example | Geometry |
| Riemann–Liouville fractional integral equation | Example | Integral equations |
| Divisibility poset | Example | Order, lattices, ordered algebraic structures |
| Metaplectic group | Example | Topological groups, Lie groups |
| Loop group | Example | Topological groups, Lie groups |
| Ricker model | Example | Biology and other natural sciences |
| Apollonian gasket | Example | Convex and discrete geometry |
| Fence | Example | Order, lattices, ordered algebraic structures |
| Standard map | Example | Dynamical systems and ergodic theory |
| The even integers form a subgroup of the integers | Example | Group theory and generalizations |
| Computed tomography as an inverse problem | Example | Integral transforms, operational calculus |
| Excluded point topology | Example | General topology |
| Poincaré group | Example | Topological groups, Lie groups |
| Daubechies wavelet | Example | Harmonic analysis on Euclidean spaces |
| Chandrasekhar's H-function | Example | Integral equations |
| Category of abelian groups | Example | Category theory; homological algebra |
| Multiplication operator | Example | Operator theory |
| Laver table | Example | Group theory and generalizations |
| Smoluchowski coagulation equation | Example | Integral equations |
| Lattès map | Example | Dynamical systems and ergodic theory |
| Harmonic function on a ball | Example | Potential theory |
| Lattice of partitions | Example | Order, lattices, ordered algebraic structures |
| Contact process | Example | Probability theory and stochastic processes |
| Representation theory of SU(2) | Example | Topological groups, Lie groups |
| Bruhat order | Example | Group theory and generalizations |
| Rectangular function | Example | Harmonic analysis on Euclidean spaces |
| Laplacian eigenvalues of the round sphere | Example | Global analysis, analysis on manifolds |
| Pompeiu derivative | Example | Real functions |
| Toda lattice | Example | Dynamical systems and ergodic theory |
| Birkhoff polytope | Example | Convex and discrete geometry |
| Non-surjective epimorphism of algebras | Example | General algebraic systems |
| Menshov's set of multiplicity of measure zero | Example | Harmonic analysis on Euclidean spaces |
| Lens space | Example | Manifolds and cell complexes |
| Butterfly catastrophe | Example | Global analysis, analysis on manifolds |
| Presburger arithmetic | Example | Mathematical logic and foundations |
| Wang tile | Example | Convex and discrete geometry |
| The cosets of 3Z in the integers | Example | Group theory and generalizations |
| Blancmange curve | Example | Real functions |
| Arnold's cat map | Example | Dynamical systems and ergodic theory |
| Projective special linear group | Example | Group theory and generalizations |
| Reduction modulo n is a homomorphism | Example | Group theory and generalizations |
| Wiener filter equation | Example | Probability theory and stochastic processes |
| Figure-eight knot | Example | Manifolds and cell complexes |
| Kuramoto model | Example | Ordinary differential equations |
| Boy's surface | Example | Manifolds and cell complexes |
| Weak order of permutations | Example | Order, lattices, ordered algebraic structures |
| Electric field integral equation | Example | Optics, electromagnetic theory |
| Newton fractal | Example | Dynamical systems and ergodic theory |
| Projective geometry over a finite field | Example | Geometry |
| Beverton–Holt model | Example | Biology and other natural sciences |
| Euclidean tilings by convex regular polygons | Example | Convex and discrete geometry |
| Special unitary group SU(n) | Example | Topological groups, Lie groups |
| Almost Mathieu operator | Example | Operator theory |
| Tent map | Example | Dynamical systems and ergodic theory |
| Liénard equation | Example | Ordinary differential equations |
| Bernoulli scheme | Example | Dynamical systems and ergodic theory |
| Capacity of a disc and a segment | Example | Potential theory |
| Iwasawa manifold | Example | Several complex variables and analytic spaces |
| Ricker wavelet | Example | Harmonic analysis on Euclidean spaces |
| Real closed field | Example | Field theory and polynomials |
| Pentagon lattice N5 | Example | Order, lattices, ordered algebraic structures |
| Pólya urn model | Example | Probability theory and stochastic processes |
| Lucas sequence | Example | Number theory |
| Veronese embedding | Example | Algebraic geometry |
| Laplace transform of the error function | Example | Integral transforms, operational calculus |
| The Klein four-group is abelian but not cyclic | Example | Group theory and generalizations |
| James space | Example | Functional analysis |
| Euler–Lotka equation | Example | Integral equations |
| Fold catastrophe | Example | Global analysis, analysis on manifolds |
| SU(2) | Example | Topological groups, Lie groups |
| Bessel's equation | Example | Ordinary differential equations |
| Wilkie's identity | Example | General algebraic systems |
| Ginzburg–Landau functional | Example | Partial differential equations |
| Simons cone | Example | Calculus of variations and optimal control; optimization |
| Costa's minimal surface | Example | Differential geometry |
| Helicoid | Example | Differential geometry |
| Trivial variety | Example | General algebraic systems |
| Young's lattice | Example | Order, lattices, ordered algebraic structures |
| Renewal equation | Example | Integral equations |
| Radiative transfer equation | Example | Astronomy and astrophysics |
| Koebe function | Example | Functions of a complex variable |
| Prüfer group | Example | Group theory and generalizations |
| Sturm–Liouville problem as an integral equation | Example | Integral equations |
| 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 |
| Discontinuous additive functions via a Hamel basis | Example | Difference and functional equations |
| Laguerre equation | Example | Ordinary differential equations |
| de Rham curve | Example | Difference and functional equations |
| Little cubes operad | Example | Category theory; homological algebra |
| Variety of groups | Example | Group theory and generalizations |
| Peridynamics | Example | Mechanics of deformable solids |
| Bounded sequences ℓ∞ | Example | Functional analysis |
| Volterra operator | Example | Integral equations |
| Abel's integral equation | Example | Integral equations |
| Hartogs figure | Example | Several complex variables and analytic spaces |
| Inoue surface | Example | Several complex variables and analytic spaces |
| M/M/1 queue | Example | Probability theory and stochastic processes |
| Space of convergent sequences | Example | Functional analysis |
| Sinai billiard | Example | Dynamical systems and ergodic theory |
| Calabi–Eckmann manifold | Example | Several complex variables and analytic spaces |
| Lattice of subspaces | Example | Order, lattices, ordered algebraic structures |
| Dyadic transformation | Example | Dynamical systems and ergodic theory |
| Umbilic catastrophes | Example | Global analysis, analysis on manifolds |
| Non-Desarguesian plane | Example | Geometry |
| Smith–Volterra–Cantor set | Example | Measure and integration |
| SL(2,C) | Example | Topological groups, Lie groups |
| Stefan problem as a variational inequality | Example | Partial differential equations |
| Abel equation of the first kind | Example | Ordinary differential equations |
| Category of modules | Example | Associative rings and algebras |
| Laplace transforms of sine and cosine | Example | Integral transforms, operational calculus |
| Spin group | Example | Topological groups, Lie groups |
| Hopf link | Example | Manifolds and cell complexes |
| Milnor's isospectral flat tori | Example | Global analysis, analysis on manifolds |
| Diamond lattice M3 | Example | Order, lattices, ordered algebraic structures |
| Haar wavelet | Example | Harmonic analysis on Euclidean spaces |
| Pell numbers | Example | Number theory |
| Category of topological spaces | Example | Category theory; homological algebra |
| Stirling's series | Example | Special functions |
| Percus–Yevick approximation | Example | Statistical mechanics, structure of matter |
| Random walk as a difference equation | Example | Difference and functional equations |
| Cubic surface | Example | Algebraic geometry |
| Milne problem | Example | Integral equations |
| Hurwitz quaternion order | Example | Number theory |
| Reuleaux triangle | Example | Convex and discrete geometry |
| Whitney umbrella | Example | Manifolds and cell complexes |
| Associahedron | Example | Convex and discrete geometry |
| Hénon map | Example | Dynamical systems and ergodic theory |
| Indefinite orthogonal group | Example | Topological groups, Lie groups |
| Total variation denoising | Example | Information and communication theory, circuits |