Definitions
One definition of a concept.
- Concepts 3771
- Definitions 3614
- Statements 2208
- Conjectures 58
- Problems 76
- Examples 280
- Counterexamples 55
- Objects 107
- Proofs 10
- Computations 1
- Topics 1
Ideas 3001–3150 of 3614.
| Name | Kind | Subject |
|---|---|---|
| Atomic domain | Definition | Commutative algebra |
| Global field | Definition | Number theory |
| Hessenberg matrix | Definition | Linear and multilinear algebra; matrix theory |
| Rational variety | Definition | Algebraic geometry |
| Differential Galois theory | Definition | Field theory and polynomials |
| Noncommutative geometry | Definition | Global analysis, analysis on manifolds |
| Dynkin quiver | Definition | Associative rings and algebras |
| Heyting arithmetic | Definition | Mathematical logic and foundations |
| Phase space | Definition | Ordinary differential equations |
| Height function | Definition | Number theory |
| Infinite product | Definition | Sequences, series, summability |
| Schauder basis | Definition | Functional analysis |
| Nilpotent Lie group | Definition | Topological groups, Lie groups |
| Mean-field game | Definition | Game theory, economics, finance, and other social and behavioral sciences |
| Localization of a module | Definition | Commutative algebra |
| Hereditary ring | Definition | Associative rings and algebras |
| Fourier series | Definition | Harmonic analysis on Euclidean spaces |
| Submanifold | Definition | Global analysis, analysis on manifolds |
| Comonad | Definition | Category theory; homological algebra |
| Haar measure on a Lie group | Definition | Topological groups, Lie groups |
| Group of Lie type | Definition | Group theory and generalizations |
| Fiber product of schemes | Definition | Algebraic geometry |
| Shanks transformation | Definition | Numerical analysis |
| Operator space | Definition | Operator theory |
| Toda bracket | Definition | Algebraic topology |
| Foliation | Definition | Manifolds and cell complexes |
| Divisible group | Definition | Group theory and generalizations |
| Wave equation | Definition | Partial differential equations |
| Residuated lattice | Definition | Order, lattices, ordered algebraic structures |
| Weak solution | Definition | Partial differential equations |
| Reduced homology | Definition | Algebraic topology |
| Variety of algebras | Definition | General algebraic systems |
| Injective tensor product | Definition | Functional analysis |
| Control system | Definition | Systems theory; control |
| F-space | Definition | Functional analysis |
| Supercompact cardinal | Definition | Mathematical logic and foundations |
| Periodic boundary conditions | Definition | Ordinary differential equations |
| Elliptic operator | Definition | Operator theory |
| Accessible category | Definition | Category theory; homological algebra |
| Homogeneous polynomial | Definition | Commutative algebra |
| Maximum and minimum | Definition | Real functions |
| Tensor product of fields | Definition | Field theory and polynomials |
| Weyl's unitary trick | Definition | Topological groups, Lie groups |
| Loop-erased random walk | Definition | Probability theory and stochastic processes |
| Krein space | Definition | Functional analysis |
| Singular homology | Definition | Algebraic topology |
| Siegel zero | Definition | Number theory |
| Chain homotopy | Definition | Category theory; homological algebra |
| Elliptic curve | Definition | Algebraic geometry |
| Homology sphere | Definition | Manifolds and cell complexes |
| Monodromy | Definition | Ordinary differential equations |
| Tracy–Widom distribution | Definition | Probability theory and stochastic processes |
| Hypoelliptic operator | Definition | Partial differential equations |
| Hom functor | Definition | Category theory; homological algebra |
| Group algebra | Definition | Group theory and generalizations |
| Tensor product of modules | Definition | Commutative algebra |
| Comparability graph | Definition | Combinatorics |
| Tensor rank | Definition | Linear and multilinear algebra; matrix theory |
| Laplace's equation | Definition | Partial differential equations |
| Delay differential equation | Definition | Ordinary differential equations |
| Hasse principle | Definition | Number theory |
| Abelian extension | Definition | Field theory and polynomials |
| Ultrafilter | Definition | General topology |
| Weak homotopy equivalence | Definition | Algebraic topology |
| String diagram | Definition | Category theory; homological algebra |
| Braid group | Definition | Group theory and generalizations |
| Inner regular measure | Definition | Measure and integration |
| Monomorphism | Definition | Category theory; homological algebra |
| Elliptic boundary value problem | Definition | Partial differential equations |
| Krull dimension of a poset | Definition | Order, lattices, ordered algebraic structures |
| Inductive dimension | Definition | General topology |
| Cusp form | Definition | Number theory |
| Isomonodromic deformation | Definition | Ordinary differential equations |
| Large sieve | Definition | Number theory |
| Valuation | Definition | Field theory and polynomials |
| Strict partial order | Definition | Order, lattices, ordered algebraic structures |
| Linearly disjoint extensions | Definition | Field theory and polynomials |
| Alexander–Spanier cohomology | Definition | Algebraic topology |
| Newton polytope | Definition | Algebraic geometry |
| Universal enveloping algebra | Definition | Nonassociative rings and algebras |
| Euler characteristic | Definition | Algebraic topology |
| Dual matroid | Definition | Combinatorics |
| Lie group method for PDEs | Definition | Partial differential equations |
| Semiorder | Definition | Order, lattices, ordered algebraic structures |
| Bounded poset | Definition | Order, lattices, ordered algebraic structures |
| Ordinary point and singular point | Definition | Ordinary differential equations |
| Complemented lattice | Definition | Order, lattices, ordered algebraic structures |
| Morphism of finite type | Definition | Algebraic geometry |
| Band matrix | Definition | Linear and multilinear algebra; matrix theory |
| Mean curvature | Definition | Differential geometry |
| Rate of convergence | Definition | Sequences, series, summability |
| Differential field | Definition | Field theory and polynomials |
| Primal algebra | Definition | General algebraic systems |
| 4-manifold | Definition | Manifolds and cell complexes |
| Doléans-Dade exponential | Definition | Probability theory and stochastic processes |
| Zimmer program | Definition | Dynamical systems and ergodic theory |
| Topological modular forms | Definition | Algebraic topology |
| Turing reduction | Definition | Mathematical logic and foundations |
| Generator of a semigroup | Definition | Operator theory |
| Inner function | Definition | Functions of a complex variable |
| Residuated mapping | Definition | Order, lattices, ordered algebraic structures |
| Outer function | Definition | Functions of a complex variable |
| Pontryagin–Thom construction | Definition | Manifolds and cell complexes |
| Degree of a projective variety | Definition | Algebraic geometry |
| Factorization system | Definition | Category theory; homological algebra |
| Integral quadratic form | Definition | Number theory |
| Hölder summation | Definition | Sequences, series, summability |
| HNN extension | Definition | Group theory and generalizations |
| Tautological one-form | Definition | Differential geometry |
| Ring of differential operators | Definition | Associative rings and algebras |
| Langevin equation | Definition | Probability theory and stochastic processes |
| Lévy–Prokhorov metric | Definition | Probability theory and stochastic processes |
| Direct limit | Definition | Category theory; homological algebra |
| Gerstenhaber algebra | Definition | Nonassociative rings and algebras |
| Saddle-node bifurcation | Definition | Ordinary differential equations |
| Space form | Definition | Differential geometry |
| Discriminant of a field extension | Definition | Number theory |
| Upper nilradical | Definition | Associative rings and algebras |
| Systolic geometry | Definition | Differential geometry |
| Cotangent space of a local ring | Definition | Commutative algebra |
| F-coalgebra | Definition | Category theory; homological algebra |
| Coupling | Definition | Probability theory and stochastic processes |
| Magnus expansion | Definition | Ordinary differential equations |
| Multiple integral | Definition | Real functions |
| Tietze transformations | Definition | Group theory and generalizations |
| Extremal length | Definition | Functions of a complex variable |
| Invertible ideal | Definition | Commutative algebra |
| Lagrange polynomial | Definition | Approximations and expansions |
| Resolvent | Definition | Operator theory |
| Finite ring | Definition | Associative rings and algebras |
| Aleph number | Definition | Mathematical logic and foundations |
| Capacity of a set | Definition | Potential theory |
| Banach algebra | Definition | Functional analysis |
| ℓ-adic cohomology | Definition | Algebraic geometry |
| Join-prime element | Definition | Order, lattices, ordered algebraic structures |
| Down-closure | Definition | Order, lattices, ordered algebraic structures |
| Block design | Definition | Combinatorics |
| Proof theory | Definition | Mathematical logic and foundations |
| Spectral triple | Definition | Global analysis, analysis on manifolds |
| Random graph | Definition | Combinatorics |
| Hahn series | Definition | Commutative algebra |
| Hyperreal number | Definition | Real functions |
| Filtered category | Definition | Category theory; homological algebra |
| Nevanlinna class | Definition | Functions of a complex variable |
| Scott continuity | Definition | Order, lattices, ordered algebraic structures |
| Eichler order | Definition | Number theory |
| Semilocally simply connected space | Definition | Manifolds and cell complexes |
| Semiprimitive ring | Definition | Associative rings and algebras |
| Stable vector bundle | Definition | Algebraic geometry |
| Proper map | Definition | General topology |