Definitions
One definition of a concept.
- Concepts 2778
- Definitions 2634
- Statements 1926
- Conjectures 38
- Problems 54
- Examples 213
- Counterexamples 52
- Objects 99
- Proofs 10
- Computations 1
- Topics 1
Ideas 2251–2400 of 2634.
| Name | Kind | Subject |
|---|---|---|
| Legendrian submanifold | Definition | Differential geometry |
| Atomic domain | Definition | Commutative algebra |
| Global field | Definition | Number theory |
| Hessenberg matrix | Definition | Linear and multilinear algebra; matrix theory |
| Differential Galois theory | Definition | Field theory and polynomials |
| Noncommutative geometry | Definition | Global analysis, analysis on manifolds |
| 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 |
| Localization of a module | Definition | Commutative algebra |
| Fourier series | Definition | Harmonic analysis on Euclidean spaces |
| Submanifold | Definition | Global analysis, analysis on manifolds |
| Group of Lie type | Definition | Group theory and generalizations |
| 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 |
| Reduced homology | Definition | Algebraic topology |
| 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 |
| Homogeneous polynomial | Definition | Commutative algebra |
| Maximum and minimum | Definition | Real functions |
| Tensor product of fields | Definition | Field theory and polynomials |
| 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 |
| 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 |
| Group algebra | Definition | Group theory and generalizations |
| Tensor product of modules | Definition | Commutative algebra |
| Tensor rank | Definition | Linear and multilinear algebra; matrix theory |
| 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 |
| Braid group | Definition | Group theory and generalizations |
| Inner regular measure | Definition | Measure and integration |
| 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 |
| Linearly disjoint extensions | Definition | Field theory and polynomials |
| Alexander–Spanier cohomology | Definition | Algebraic topology |
| Euler characteristic | Definition | Algebraic topology |
| Dual matroid | Definition | Combinatorics |
| Ordinary point and singular point | Definition | Ordinary differential equations |
| 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 |
| 4-manifold | Definition | Manifolds and cell complexes |
| Doléans-Dade exponential | Definition | Probability theory and stochastic processes |
| 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 |
| Outer function | Definition | Functions of a complex variable |
| Pontryagin–Thom construction | Definition | Manifolds and cell complexes |
| 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 |
| Langevin equation | Definition | Probability theory and stochastic processes |
| Lévy–Prokhorov metric | Definition | Probability theory and stochastic processes |
| Saddle-node bifurcation | Definition | Ordinary differential equations |
| Space form | Definition | Differential geometry |
| Discriminant of a field extension | Definition | Number theory |
| Systolic geometry | Definition | Differential geometry |
| Cotangent space of a local ring | Definition | Commutative 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 |
| Block design | Definition | Combinatorics |
| Proof theory | Definition | Mathematical logic and foundations |
| Spectral triple | Definition | Global analysis, analysis on manifolds |
| Random graph | Definition | Combinatorics |
| Hyperreal number | Definition | Real functions |
| Nevanlinna class | Definition | Functions of a complex variable |
| Semilocally simply connected space | Definition | Manifolds and cell complexes |
| Proper map | Definition | General topology |
| Axiom of dependent choice | Definition | Mathematical logic and foundations |
| Reverse mathematics | Definition | Mathematical logic and foundations |
| Pitchfork bifurcation | Definition | Ordinary differential equations |
| Hankel matrix | Definition | Linear and multilinear algebra; matrix theory |
| Gauss sum | Definition | Number theory |
| Gromov–Hausdorff convergence | Definition | Differential geometry |
| Elimination theory | Definition | Commutative algebra |
| Logicism | Definition | Mathematical logic and foundations |
| Robinson arithmetic | Definition | Mathematical logic and foundations |
| Orientability | Definition | Manifolds and cell complexes |
| Dual pair | Definition | Functional analysis |
| Torsion tensor | Definition | Differential geometry |
| Cyclotomic extension | Definition | Field theory and polynomials |
| Deck transformation group | Definition | Manifolds and cell complexes |
| Riemann zeta function | Definition | Number theory |
| Link | Definition | Manifolds and cell complexes |
| Von Neumann–Bernays–Gödel set theory | Definition | Mathematical logic and foundations |
| Gaussian binomial coefficient | Definition | Combinatorics |
| Primary ideal | Definition | Commutative algebra |
| Radical ideal | Definition | Commutative algebra |
| Compact-open topology | Definition | General topology |
| Mapping cylinder | Definition | Algebraic topology |
| Genus | Definition | Manifolds and cell complexes |
| Singular values of a compact operator | Definition | Operator theory |
| Interpolation space | Definition | Functional analysis |
| Exponential stability | Definition | Ordinary differential equations |
| Length of a module | Definition | Commutative algebra |
| Abelian differential | Definition | Functions of a complex variable |
| Krull topology | Definition | Field theory and polynomials |
| Perfect closure | Definition | Field theory and polynomials |
| Sullivan minimal model | Definition | Algebraic topology |
| Connection on a vector bundle | Definition | Differential geometry |
| Type | Definition | Mathematical logic and foundations |
| Profinite group | Definition | Group theory and generalizations |
| Banach manifold | Definition | Global analysis, analysis on manifolds |
| BK-space | Definition | Functional analysis |
| Markov kernel | Definition | Probability theory and stochastic processes |
| Betti number | Definition | Algebraic topology |
| Asymptotic analysis | Definition | Approximations and expansions |
| Rational homotopy theory | Definition | Algebraic topology |
| Perfect graph | Definition | Combinatorics |
| Ultraproduct | Definition | Mathematical logic and foundations |
| Bockstein homomorphism | Definition | Algebraic topology |
| Smooth structure | Definition | Manifolds and cell complexes |
| Measure with density | Definition | Measure and integration |
| Artinian module | Definition | Associative rings and algebras |
| Graph embedding | Definition | Combinatorics |
| Torsion submodule | Definition | Commutative algebra |
| Volterra integral equation | Definition | Integral equations |
| Irreducible representation | Definition | Group theory and generalizations |