Definitions
One definition 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 2701–2850 of 5027.
| Name | Kind | Subject |
|---|---|---|
| Homotopy category | Definition | Category theory; homological algebra |
| Successive minima | Definition | Number theory |
| Extensive category | Definition | Category theory; homological algebra |
| Quantale | Definition | Order, lattices, ordered algebraic structures |
| Radon–Nikodym derivative | Definition | Measure and integration |
| Concrete category | Definition | Category theory; homological algebra |
| Luzin N property | Definition | Real functions |
| Galois category | Definition | Algebraic geometry |
| Wave front of a Legendrian map | Definition | Differential geometry |
| Galois cohomology | Definition | Field theory and polynomials |
| Equivalence of varieties | Definition | General algebraic systems |
| Factorization of polynomials | Definition | Commutative algebra |
| Cofibration | Definition | Algebraic topology |
| John ellipsoid | Definition | Convex and discrete geometry |
| Boolean algebras canonically defined | Definition | Order, lattices, ordered algebraic structures |
| WKB approximation | Definition | Ordinary differential equations |
| Abelian scheme | Definition | Algebraic geometry |
| Quasi-invariant measure | Definition | Measure and integration |
| Harmonic measure | Definition | Potential theory |
| Inner measure | Definition | Measure and integration |
| Cohomology ring | Definition | Algebraic topology |
| Continuous dual space | Definition | Functional analysis |
| Haagerup property | Definition | Topological groups, Lie groups |
| Multiresolution analysis | Definition | Harmonic analysis on Euclidean spaces |
| Covering relation | Definition | Order, lattices, ordered algebraic structures |
| Morrey quasiconvexity | Definition | Calculus of variations and optimal control; optimization |
| Stein manifold | Definition | Several complex variables and analytic spaces |
| Dirichlet kernel | Definition | Harmonic analysis on Euclidean spaces |
| Stieltjes transform | Definition | Integral transforms, operational calculus |
| FK-space | Definition | Functional analysis |
| Homotopy group with coefficients | Definition | Algebraic topology |
| Indecomposable continuum | Definition | General topology |
| Polynomial interpolation | Definition | Approximations and expansions |
| Radical axis | Definition | Geometry |
| Schatten class | Definition | Operator theory |
| Shallow water equations | Definition | Fluid mechanics |
| Total curvature | Definition | Differential geometry |
| Projective geometry | Definition | Geometry |
| Hamilton–Jacobi theory of the calculus of variations | Definition | Calculus of variations and optimal control; optimization |
| Incomplete LU factorization | Definition | Numerical analysis |
| Anosov flow | Definition | Dynamical systems and ergodic theory |
| Hamiltonian of an optimal control problem | Definition | Calculus of variations and optimal control; optimization |
| Strictly singular operator | Definition | Operator theory |
| Bornological space | Definition | Functional analysis |
| Arithmetic genus | Definition | Algebraic geometry |
| Bochner integral | Definition | Measure and integration |
| Discrete Painlevé equations | Definition | Difference and functional equations |
| Bézier curve | Definition | Numerical analysis |
| Jacobi amplitude | Definition | Special functions |
| Simplicial set | Definition | Category theory; homological algebra |
| Symplectic capacity | Definition | Differential geometry |
| Submartingale | Definition | Probability theory and stochastic processes |
| Superharmonic potential | Definition | Potential theory |
| Congruence subgroup | Definition | Number theory |
| Manifold with corners | Definition | Global analysis, analysis on manifolds |
| Integral functional with a Lagrangian density | Definition | Calculus of variations and optimal control; optimization |
| Morphism of schemes | Definition | Algebraic geometry |
| Total variation | Definition | Real functions |
| Lattice homomorphism | Definition | Order, lattices, ordered algebraic structures |
| Model complete theory | Definition | Mathematical logic and foundations |
| Hodges–Lehmann estimator | Definition | Statistics |
| Irreducible analytic germ | Definition | Several complex variables and analytic spaces |
| Nakano positivity | Definition | Several complex variables and analytic spaces |
| Kruskal–Wallis test | Definition | Statistics |
| Smash product | Definition | Associative rings and algebras |
| Hypergeometric function | Definition | Special functions |
| Geometric invariant theory | Definition | Algebraic geometry |
| Hilbert system | Definition | Mathematical logic and foundations |
| Polytope | Definition | Convex and discrete geometry |
| Amenable Banach algebra | Definition | Functional analysis |
| Pontryagin dual | Definition | Abstract harmonic analysis |
| Paraconsistent logic | Definition | Mathematical logic and foundations |
| Lindelöf space | Definition | General topology |
| Resolutivity of boundary functions | Definition | Potential theory |
| Brauer character | Definition | Group theory and generalizations |
| Jacobi sum | Definition | Number theory |
| Canonical module | Definition | Commutative algebra |
| Hankel transform | Definition | Integral transforms, operational calculus |
| Mixed model | Definition | Statistics |
| Local coefficient system | Definition | Algebraic topology |
| Separably closed field | Definition | Field theory and polynomials |
| Weak operator topology | Definition | Operator theory |
| Eilenberg swindle | Definition | Associative rings and algebras |
| Entropy solution | Definition | Partial differential equations |
| Macdonald polynomial | Definition | Combinatorics |
| Transversality | Definition | Manifolds and cell complexes |
| Brauer group | Definition | Associative rings and algebras |
| Geometric morphism | Definition | Category theory; homological algebra |
| Quillen equivalence | Definition | Category theory; homological algebra |
| Zariski topology | Definition | Algebraic geometry |
| De Rham cohomology of varieties | Definition | Algebraic geometry |
| Non-uniform discrete Fourier transform | Definition | Numerical analysis |
| Charlier polynomials | Definition | Special functions |
| Born series | Definition | Quantum theory |
| Euler–Boole summation | Definition | Numerical analysis |
| Dehn invariant | Definition | Convex and discrete geometry |
| Attractor | Definition | Dynamical systems and ergodic theory |
| Optimal control | Definition | Calculus of variations and optimal control; optimization |
| Skolem normal form | Definition | Mathematical logic and foundations |
| Noncommutative Gröbner basis | Definition | Associative rings and algebras |
| Viscosity solution | Definition | Partial differential equations |
| Simple homotopy equivalence | Definition | Manifolds and cell complexes |
| Heteroclinic orbit | Definition | Ordinary differential equations |
| Projection operation | Definition | General algebraic systems |
| Midpoint convex function | Definition | Real functions |
| Exact couple | Definition | Algebraic topology |
| Pluripolar set | Definition | Several complex variables and analytic spaces |
| Von Neumann algebra | Definition | Functional analysis |
| Whitney stratification | Definition | Several complex variables and analytic spaces |
| Stalk | Definition | General topology |
| Integrable system | Definition | Dynamical systems and ergodic theory |
| Constructivism | Definition | Mathematical logic and foundations |
| Curve of constant width | Definition | Convex and discrete geometry |
| Delta functor | Definition | Category theory; homological algebra |
| Bounded variation | Definition | Real functions |
| Center manifold | Definition | Ordinary differential equations |
| Lamé equations of elasticity | Definition | Mechanics of deformable solids |
| Intermittency | Definition | Dynamical systems and ergodic theory |
| Monad | Definition | Category theory; homological algebra |
| Domain theory | Definition | Order, lattices, ordered algebraic structures |
| Minkowski addition | Definition | Convex and discrete geometry |
| Compact Lie group | Definition | Topological groups, Lie groups |
| Stochastic difference equation | Definition | Difference and functional equations |
| Subanalytic set | Definition | Several complex variables and analytic spaces |
| Holomorphic line bundle | Definition | Several complex variables and analytic spaces |
| Dynamic programming in continuous time | Definition | Calculus of variations and optimal control; optimization |
| Siegel disc | Definition | Dynamical systems and ergodic theory |
| Sine-Gordon equation | Definition | Partial differential equations |
| Cauchy's exponential equation | Definition | Difference and functional equations |
| Whittaker transform | Definition | Integral transforms, operational calculus |
| Dodgson condensation | Definition | Linear and multilinear algebra; matrix theory |
| Lagrange resolvent | Definition | Field theory and polynomials |
| Minkowski–Bouligand dimension | Definition | Measure and integration |
| Adaptive step size | Definition | Numerical analysis |
| Maximal compact subgroup | Definition | Topological groups, Lie groups |
| Join and meet | Definition | Order, lattices, ordered algebraic structures |
| Epsilon-net of a set system | Definition | Convex and discrete geometry |
| Mathematical formulation of quantum mechanics | Definition | Quantum theory |
| Autoregressive–moving-average model | Definition | Statistics |
| Hierarchical matrix | Definition | Numerical analysis |
| Homotopy continuation for polynomial systems | Definition | Numerical analysis |
| Subdirect product | Definition | General algebraic systems |
| Yoneda embedding | Definition | Category theory; homological algebra |
| Arithmetic dynamics | Definition | Dynamical systems and ergodic theory |
| Weak mixing | Definition | Dynamical systems and ergodic theory |
| Bidual and canonical embedding | Definition | Functional analysis |
| f-ring | Definition | Order, lattices, ordered algebraic structures |
| Besov space | Definition | Functional analysis |
| Square-integrable kernel | Definition | Integral equations |
| Stone algebra | Definition | Order, lattices, ordered algebraic structures |