Concepts

A mathematical idea. It can have more than one definition.

Ideas 3001–3150 of 3771.

Name	Kind	Subject
Non-measurable set	Concept	Measure and integration
q-derivative	Concept	Combinatorics
Strongly minimal theory	Concept	Mathematical logic and foundations
Hardy space	Concept	Functions of a complex variable
Krull dimension of a noncommutative ring	Concept	Associative rings and algebras
Computable set	Concept	Mathematical logic and foundations
Cauchy–Riemann operator	Concept	Several complex variables and analytic spaces
Real algebraic geometry	Concept	Algebraic geometry
Hankel matrix	Concept	Linear and multilinear algebra; matrix theory
Calculus of variations	Concept	Calculus of variations and optimal control; optimization
Sheaf cohomology	Concept	Algebraic geometry
Symplectic vector space	Concept	Linear and multilinear algebra; matrix theory
Kullback–Leibler divergence	Concept	Information and communication theory, circuits
Natural boundary	Concept	Functions of a complex variable
Infinitary logic	Concept	Mathematical logic and foundations
Measure	Concept	Measure and integration
Stochastic partial differential equation	Concept	Probability theory and stochastic processes
Seiberg–Witten invariants	Concept	Manifolds and cell complexes
Euler–Lagrange equation	Concept	Calculus of variations and optimal control; optimization
Vector measure	Concept	Measure and integration
Noncommutative geometry	Concept	Global analysis, analysis on manifolds
Von Neumann algebra	Concept	Functional analysis
Amoeba	Concept	Algebraic geometry
Clone	Concept	General algebraic systems
Premeasure	Concept	Measure and integration
Sublattice	Concept	Order, lattices, ordered algebraic structures
Transport equation	Concept	Partial differential equations
Faber polynomials	Concept	Functions of a complex variable
Weak ordering	Concept	Order, lattices, ordered algebraic structures
Unknotting number	Concept	Manifolds and cell complexes
Perfect closure	Concept	Field theory and polynomials
Matroid	Concept	Combinatorics
Monoidal functor	Concept	Category theory; homological algebra
Semiring of sets	Concept	Measure and integration
Finitely complete category	Concept	Category theory; homological algebra
Spinor bundle	Concept	Differential geometry
Projective algebra	Concept	General algebraic systems
Sporadic group	Concept	Group theory and generalizations
Systolic geometry	Concept	Differential geometry
Locally presentable category	Concept	Category theory; homological algebra
Isomorphism	Concept	General algebraic systems
Pullback	Concept	Category theory; homological algebra
Complemented subspace	Concept	Functional analysis
Intuitionistic logic	Concept	Mathematical logic and foundations
Category theory	Concept	Category theory; homological algebra
Hausdorff measure	Concept	Measure and integration
Khinchin integral	Concept	Real functions
Asymptotic analysis	Concept	Approximations and expansions
Legendrian submanifold	Concept	Differential geometry
Domain theory	Concept	Order, lattices, ordered algebraic structures
Unary operation	Concept	General algebraic systems
Vandermonde matrix	Concept	Linear and multilinear algebra; matrix theory
K3 surface	Concept	Algebraic geometry
Type theory	Concept	Mathematical logic and foundations
Dehn function	Concept	Group theory and generalizations
Galois connection	Concept	Order, lattices, ordered algebraic structures
Direct limit of rings	Concept	Associative rings and algebras
Riemannian metric	Concept	Differential geometry
Pushout	Concept	Category theory; homological algebra
Young tableau	Concept	Combinatorics
Compactification	Concept	General topology
Large deviations theory	Concept	Probability theory and stochastic processes
Completeness in order theory	Concept	Order, lattices, ordered algebraic structures
Polynomial greatest common divisor	Concept	Commutative algebra
Suspension	Concept	Algebraic topology
Minimal model program	Concept	Algebraic geometry
Strong amalgamation property	Concept	General algebraic systems
Bialgebra	Concept	Associative rings and algebras
Perfectoid space	Concept	Algebraic geometry
Congruence-modular variety	Concept	General algebraic systems
Free object	Concept	Category theory; homological algebra
HOMFLY polynomial	Concept	Manifolds and cell complexes
Lindenbaum–Tarski algebra	Concept	Mathematical logic and foundations
Injective hull	Concept	Commutative algebra
Standard probability space	Concept	Measure and integration
Taylor term	Concept	General algebraic systems
Goldie ring	Concept	Associative rings and algebras
Endomorphism monoid	Concept	General algebraic systems
Radical of a module	Concept	Associative rings and algebras
Algebra over a monad	Concept	Category theory; homological algebra
Convergence along an ultrafilter	Concept	General topology
Analytic capacity	Concept	Functions of a complex variable
Schnirelmann density	Concept	Number theory
Beta function	Concept	Special functions
Overdetermined system	Concept	Linear and multilinear algebra; matrix theory
Algebraic structure	Concept	General algebraic systems
Bounded mean oscillation	Concept	Functions of a complex variable
Ordinary point and singular point	Concept	Ordinary differential equations
Whitehead product	Concept	Algebraic topology
Fully invariant congruence	Concept	General algebraic systems
Bidual and canonical embedding	Concept	Functional analysis
Prime ideal of a lattice	Concept	Order, lattices, ordered algebraic structures
Graphon	Concept	Combinatorics
Laurent polynomial ring	Concept	Associative rings and algebras
Satisfiability	Concept	Mathematical logic and foundations
Congruence generated by a relation	Concept	General algebraic systems
Deformation of algebras	Concept	Associative rings and algebras
Total curvature	Concept	Differential geometry
Interval arithmetic	Concept	Numerical analysis
Cartan connection	Concept	Differential geometry
Method of matched asymptotic expansions	Concept	Ordinary differential equations
Lie group method for PDEs	Concept	Partial differential equations
Nilradical	Concept	Commutative algebra
Topological manifold	Concept	Manifolds and cell complexes
Dunford–Pettis property	Concept	Functional analysis
Absolutely monotonic function	Concept	Real functions
Horn clause	Concept	Mathematical logic and foundations
Logical connective	Concept	Mathematical logic and foundations
Singular values of a compact operator	Concept	Operator theory
Valuation ring	Concept	Commutative algebra
Shimura variety	Concept	Algebraic geometry
Basis of a matroid	Concept	Combinatorics
Lebesgue–Stieltjes measure	Concept	Measure and integration
Mahler measure	Concept	Number theory
Cayley–Abels graph	Concept	Topological groups, Lie groups
Quasi-primal algebra	Concept	General algebraic systems
Modular lattice	Concept	Order, lattices, ordered algebraic structures
Topological semigroup	Concept	Topological groups, Lie groups
Determinacy	Concept	Mathematical logic and foundations
Open subgroup	Concept	Topological groups, Lie groups
Knot	Concept	Manifolds and cell complexes
Pringsheim convergence	Concept	Sequences, series, summability
Tate's thesis	Concept	Number theory
Cohomological dimension of a field	Concept	Field theory and polynomials
Filtered algebra	Concept	Associative rings and algebras
3-manifold	Concept	Manifolds and cell complexes
Brauer character	Concept	Group theory and generalizations
Smooth structure	Concept	Manifolds and cell complexes
Galois connection between subgroups and subfields	Concept	Field theory and polynomials
Fréchet–Urysohn space	Concept	General topology
Semilocally simply connected space	Concept	Manifolds and cell complexes
Gelfand–Levitan theory	Concept	Ordinary differential equations
Contractible space	Concept	Algebraic topology
Hecke character	Concept	Number theory
Dual pair	Concept	Functional analysis
Unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Clifford–Klein form	Concept	Manifolds and cell complexes
Initial algebra	Concept	Category theory; homological algebra
Abelian variety	Concept	Algebraic geometry
Willmore energy	Concept	Differential geometry
Self-similar measure	Concept	Measure and integration
Univalent function	Concept	Functions of a complex variable
Isometry of Riemannian manifolds	Concept	Differential geometry
Topological monoid	Concept	Topological groups, Lie groups
Width of a poset	Concept	Order, lattices, ordered algebraic structures
Monad in nonstandard topology	Concept	General topology
Almost everywhere	Concept	Measure and integration
Self-similar process	Concept	Probability theory and stochastic processes
Semilinear PDE	Concept	Partial differential equations
Order topology	Concept	General topology