Concepts
A mathematical idea. It can have more than one definition.
- Concepts 5206
- Definitions 5027
- Statements 3081
- Conjectures 75
- Problems 147
- Examples 431
- Counterexamples 71
- Objects 132
- Proofs 11
- Computations 1
- Topics 1
Ideas 1801–1950 of 5206.
| Name | Kind | Subject |
|---|---|---|
| Kolmogorov epsilon-entropy | Concept | Approximations and expansions |
| Regular local ring | Concept | Commutative algebra |
| Finite measure | Concept | Measure and integration |
| Monogenic function | Concept | Functions of a complex variable |
| Max-plus algebra | Concept | Linear and multilinear algebra; matrix theory |
| Complete theory | Concept | Mathematical logic and foundations |
| Sampling distribution | Concept | Statistics |
| Yang–Baxter equation | Concept | Associative rings and algebras |
| Cardinal characteristics of the continuum | Concept | Mathematical logic and foundations |
| Central polynomial | Concept | Associative rings and algebras |
| Algebraic torus | Concept | Group theory and generalizations |
| Reflexive operator algebra | Concept | Operator theory |
| Index theory | Concept | Global analysis, analysis on manifolds |
| Substructure | Concept | Mathematical logic and foundations |
| Cyclic homology | Concept | Associative rings and algebras |
| Topos | Concept | Category theory; homological algebra |
| Projective tensor product | Concept | Functional analysis |
| One-relator group | Concept | Group theory and generalizations |
| Localization of a module | Concept | Commutative algebra |
| Lie bracket of vector fields | Concept | Global analysis, analysis on manifolds |
| Moore space | Concept | General topology |
| q-gamma function | Concept | Special functions |
| Retract | Concept | General algebraic systems |
| Abel equation | Concept | Difference and functional equations |
| Mori domain | Concept | Commutative algebra |
| Regular sequence | Concept | Commutative algebra |
| Legendre functions | Concept | Special functions |
| Ordinal sum of posets | Concept | Order, lattices, ordered algebraic structures |
| Koszul duality | Concept | Associative rings and algebras |
| Confluent hypergeometric function | Concept | Special functions |
| Directly indecomposable algebra | Concept | General algebraic systems |
| Birkhoff's axioms | Concept | Geometry |
| Building | Concept | Group theory and generalizations |
| F-coalgebra | Concept | Category theory; homological algebra |
| Jordan algebra | Concept | Nonassociative rings and algebras |
| False discovery rate and the Benjamini–Hochberg procedure | Concept | Statistics |
| Cancellation property | Concept | General algebraic systems |
| Mapping cone | Concept | Category theory; homological algebra |
| Right-angled Artin group | Concept | Group theory and generalizations |
| Term | Concept | Mathematical logic and foundations |
| Homoclinic orbit | Concept | Ordinary differential equations |
| Penny graph | Concept | Combinatorics |
| Local asymptotic normality | Concept | Statistics |
| Ramanujan tau function | Concept | Number theory |
| Commutator theory | Concept | General algebraic systems |
| Polar polytope | Concept | Convex and discrete geometry |
| Semi-local ring | Concept | Commutative algebra |
| Linear PDE | Concept | Partial differential equations |
| Erdős–Rényi model | Concept | Combinatorics |
| Discrete Poisson equation | Concept | Difference and functional equations |
| Poisson boundary | Concept | Probability theory and stochastic processes |
| Essentially surjective functor | Concept | Category theory; homological algebra |
| Final topology | Concept | General topology |
| Kähler–Einstein metric | Concept | Several complex variables and analytic spaces |
| Instrumental variables estimation | Concept | Statistics |
| Arc in a finite plane | Concept | Geometry |
| Catastrophe theory | Concept | Global analysis, analysis on manifolds |
| Quasi-isometry | Concept | Group theory and generalizations |
| Orthomodular lattice | Concept | Order, lattices, ordered algebraic structures |
| Co-Heyting algebra | Concept | Order, lattices, ordered algebraic structures |
| Group algebra of a locally compact group | Concept | Topological groups, Lie groups |
| Inverse scattering transform | Concept | Dynamical systems and ergodic theory |
| Hecke algebra of a locally compact group | Concept | Topological groups, Lie groups |
| Thom spectrum | Concept | Algebraic topology |
| Quantum dilogarithm | Concept | Special functions |
| Hilbert space adjoint | Concept | Operator theory |
| Product sigma-algebra | Concept | Measure and integration |
| Schur complement | Concept | Linear and multilinear algebra; matrix theory |
| Bergman projection | Concept | Several complex variables and analytic spaces |
| Two-sided Laplace transform | Concept | Integral transforms, operational calculus |
| Period-doubling cascade | Concept | Dynamical systems and ergodic theory |
| Limit-point and limit-circle | Concept | Ordinary differential equations |
| Local cohomology | Concept | Commutative algebra |
| Hamilton–Jacobi theory of the calculus of variations | Concept | Calculus of variations and optimal control; optimization |
| Superalgebra | Concept | Nonassociative rings and algebras |
| Chattering control | Concept | Calculus of variations and optimal control; optimization |
| Charlier polynomials | Concept | Special functions |
| Natural deduction | Concept | Mathematical logic and foundations |
| Almgren–Pitts min-max theory | Concept | Global analysis, analysis on manifolds |
| Bass–Serre theory | Concept | Group theory and generalizations |
| Submartingale | Concept | Probability theory and stochastic processes |
| Adaptive step size | Concept | Numerical analysis |
| Chain recurrence | Concept | Dynamical systems and ergodic theory |
| Factor congruence | Concept | General algebraic systems |
| Witt vectors | Concept | Commutative algebra |
| Singular cohomology | Concept | Algebraic topology |
| Incompressible surface | Concept | Manifolds and cell complexes |
| Discontinuous Galerkin method | Concept | Numerical analysis |
| Amenable Banach algebra | Concept | Functional analysis |
| Differential of a smooth map | Concept | Global analysis, analysis on manifolds |
| Torsion submodule | Concept | Commutative algebra |
| d'Alembert's functional equation | Concept | Difference and functional equations |
| Induced representation of a locally compact group | Concept | Topological groups, Lie groups |
| Aleph number | Concept | Mathematical logic and foundations |
| Jensen's functional equation | Concept | Difference and functional equations |
| Dual matroid | Concept | Combinatorics |
| Mal'cev condition | Concept | General algebraic systems |
| Hardy spaces of harmonic functions | Concept | Potential theory |
| Linear topology | Concept | Commutative algebra |
| Berkovich space dynamics | Concept | Dynamical systems and ergodic theory |
| Immersion | Concept | Manifolds and cell complexes |
| Rigged Hilbert space | Concept | Functional analysis |
| Descending chain condition | Concept | Order, lattices, ordered algebraic structures |
| Krylov–Bogolyubov averaging | Concept | Ordinary differential equations |
| Newtonian kernel | Concept | Potential theory |
| Homology manifold | Concept | Manifolds and cell complexes |
| Young measure | Concept | Calculus of variations and optimal control; optimization |
| Compressed sensing | Concept | Information and communication theory, circuits |
| Sheaf of differentials | Concept | Algebraic geometry |
| Convex cone | Concept | Convex and discrete geometry |
| Caputo fractional derivative | Concept | Real functions |
| Mutual energy | Concept | Potential theory |
| Ring of invariants | Concept | Commutative algebra |
| Markov random field | Concept | Statistics |
| Method of fundamental solutions | Concept | Numerical analysis |
| Genus of a curve | Concept | Algebraic geometry |
| Holomorphic dynamics in several variables | Concept | Dynamical systems and ergodic theory |
| Determinantal variety | Concept | Algebraic geometry |
| Wynn's epsilon algorithm | Concept | Numerical analysis |
| Normal closure | Concept | Field theory and polynomials |
| Weighted polynomial approximation | Concept | Approximations and expansions |
| Degenerate kernel | Concept | Integral equations |
| Lauricella hypergeometric series | Concept | Special functions |
| Laplace transform of distributions | Concept | Functional analysis |
| Homogeneous ideal | Concept | Commutative algebra |
| Tauberian condition | Concept | Sequences, series, summability |
| Schwarzian derivative | Concept | Functions of a complex variable |
| Orientability | Concept | Manifolds and cell complexes |
| James–Stein estimator | Concept | Statistics |
| Summation of families over arbitrary index sets | Concept | Sequences, series, summability |
| Convergence of filters | Concept | General topology |
| Virtual knot | Concept | Manifolds and cell complexes |
| Kernel regression | Concept | Statistics |
| Ginzburg–Landau equation | Concept | Partial differential equations |
| Alexandrov space | Concept | Differential geometry |
| FK-space | Concept | Functional analysis |
| Immersed boundary method | Concept | Numerical analysis |
| Polarity | Concept | Geometry |
| Kontsevich integral | Concept | Manifolds and cell complexes |
| Ternary discriminator | Concept | General algebraic systems |
| Equational logic | Concept | General algebraic systems |
| Jacobi transform | Concept | Integral transforms, operational calculus |
| Bounded lattice | Concept | Order, lattices, ordered algebraic structures |
| Randomization | Concept | Statistics |
| Flat module | Concept | Commutative algebra |
| Five-point stencil | Concept | Numerical analysis |
| Unitary representation | Concept | Topological groups, Lie groups |
| Linear canonical transformation | Concept | Integral transforms, operational calculus |
| NIP theory | Concept | Mathematical logic and foundations |
| Semilattice | Concept | Order, lattices, ordered algebraic structures |