Every idea

Ideas 9001–9150 of 14183.

Name	Kind	Subject
Kan complex	Definition	Category theory; homological algebra
Projective space	Definition	Algebraic geometry
Trigonometric functions	Concept	Special functions
Geometric optics	Definition	Optics, electromagnetic theory
Bogdanov–Takens bifurcation	Definition	Ordinary differential equations
Exponential map of a Lie group	Concept	Topological groups, Lie groups
Ergodic transformation	Definition	Dynamical systems and ergodic theory
Congruence relation	Definition	General algebraic systems
Linear logic	Definition	Mathematical logic and foundations
Perfect set property	Concept	Mathematical logic and foundations
Weak Lp space	Concept	Functional analysis
Empirical likelihood	Definition	Statistics
Continuous wavelet transform	Definition	Harmonic analysis on Euclidean spaces
Littlewood–Paley square function	Concept	Harmonic analysis on Euclidean spaces
Topological field	Definition	Field theory and polynomials
Monoid object	Definition	Category theory; homological algebra
Unit-regular ring	Concept	Associative rings and algebras
Power iteration	Concept	Numerical analysis
Preservation of limits	Concept	Category theory; homological algebra
Fibred category	Definition	Category theory; homological algebra
Wiener–Hopf method	Concept	Integral equations
Proof of the first isomorphism theorem	Proof	Group theory and generalizations
Clone	Definition	General algebraic systems
Asymptotic scale	Definition	Approximations and expansions
Frobenius element	Concept	Number theory
One-parameter subgroup	Definition	Topological groups, Lie groups
Convex combination	Definition	Convex and discrete geometry
Algebra over an operad	Definition	Category theory; homological algebra
Elementary equivalence	Definition	Mathematical logic and foundations
K3 surface	Definition	Algebraic geometry
Weighted least squares	Concept	Statistics
Many-one reduction	Definition	Mathematical logic and foundations
Zonotope	Definition	Convex and discrete geometry
Incidence geometry	Definition	Geometry
Calabi–Eckmann manifold	Example	Several complex variables and analytic spaces
Lattice of subspaces	Example	Order, lattices, ordered algebraic structures
Dvoretzky–Kiefer–Wolfowitz inequality	Theorem	Statistics
Elliptic geometry	Concept	Geometry
Picard–Vessiot extension	Definition	Field theory and polynomials
Solution set condition	Definition	Category theory; homological algebra
Ramification	Concept	Number theory
Stokes phenomenon	Definition	Ordinary differential equations
Separable degree	Concept	Field theory and polynomials
Weak lower semicontinuity	Concept	Calculus of variations and optimal control; optimization
Convergence of approximations for second-kind equations	Theorem	Integral equations
Mutually orthogonal Latin squares	Concept	Combinatorics
Ordered ring	Concept	Order, lattices, ordered algebraic structures
Volterra equation of the first kind	Concept	Integral equations
Carleman matrix	Definition	Difference and functional equations
Logarithmic integral	Definition	Special functions
Layer cake representation	Theorem	Measure and integration
Compactly generated space	Definition	General topology
Analytic geometry	Concept	Geometry
Bockstein homomorphism	Concept	Algebraic topology
Newton polygon	Concept	Field theory and polynomials
Jacobson radical of an Artinian ring is nilpotent	Theorem	Associative rings and algebras
Partial algebra	Concept	General algebraic systems
Lions–Stampacchia theorem	Theorem	Calculus of variations and optimal control; optimization
Bayesian information criterion	Definition	Statistics
Étale morphism	Concept	Algebraic geometry
Deformation theory	Definition	Algebraic geometry
Lagrangian submanifold	Concept	Differential geometry
Green–Tao theorem	Theorem	Number theory
Spread	Definition	Geometry
Integral operator	Concept	Operator theory
Deformation of algebras	Definition	Associative rings and algebras
Cokernel	Concept	Category theory; homological algebra
Complete integral	Concept	Partial differential equations
Fujiki class C	Concept	Several complex variables and analytic spaces
Dvoretzky–Rogers theorem	Theorem	Functional analysis
Regular singular point	Concept	Ordinary differential equations
Symmetric operator	Concept	Operator theory
Double centralizer theorem	Theorem	Associative rings and algebras
Z-transform as a generating function	Concept	Integral transforms, operational calculus
Wiener amalgam space	Concept	Harmonic analysis on Euclidean spaces
Berry–Esseen theorem	Theorem	Probability theory and stochastic processes
Galois ring	Concept	Commutative algebra
Equilibrium measure	Definition	Potential theory
Cross-validation	Concept	Statistics
Yang–Mills equations	Definition	Mechanics of particles and systems
Monge point	Definition	Geometry
Ordered semigroup	Concept	Order, lattices, ordered algebraic structures
Hodge decomposition	Theorem	Algebraic geometry
Elliptic integral	Definition	Special functions
Interpolation error formula	Theorem	Approximations and expansions
Annulus theorem	Theorem	Manifolds and cell complexes
Lambert series	Concept	Functions of a complex variable
Traveling wave	Definition	Partial differential equations
Christoffel–Darboux formula	Theorem	Harmonic analysis on Euclidean spaces
Envelope	Definition	Differential geometry
Gromov's systolic inequality	Theorem	Differential geometry
Annihilator	Concept	Commutative algebra
Measurable cardinal	Definition	Mathematical logic and foundations
Solvmanifold	Concept	Topological groups, Lie groups
Urysohn metrization theorem	Theorem	General topology
Pseudocompact space	Concept	General topology
Continuity of measure from below and above	Proposition	Measure and integration
General recursive function	Concept	Mathematical logic and foundations
Contact manifold	Concept	Differential geometry
Bounded lattice	Definition	Order, lattices, ordered algebraic structures
Boolean matrix	Definition	Linear and multilinear algebra; matrix theory
Riemann localization principle	Theorem	Harmonic analysis on Euclidean spaces
Jet bundle	Concept	Global analysis, analysis on manifolds
Capelli's theorem	Theorem	Field theory and polynomials
Zariski's main theorem	Theorem	Commutative algebra
Eigenvalue algorithm	Concept	Numerical analysis
Hilbert transform	Definition	Integral transforms, operational calculus
Cubic Hermite spline	Concept	Approximations and expansions
Zero sharp	Object	Mathematical logic and foundations
Todd class	Definition	Algebraic geometry
Lambda calculus	Definition	Mathematical logic and foundations
Energy method	Definition	Partial differential equations
Algebraic lattice	Definition	Order, lattices, ordered algebraic structures
Hilbert metric	Definition	Geometry
Bernstein's theorem on inverse approximation	Theorem	Approximations and expansions
Banach lattice	Concept	Functional analysis
Structure theorem for Artinian rings	Theorem	Commutative algebra
Abel–Jacobi map	Concept	Algebraic geometry
Constructive analysis	Concept	Mathematical logic and foundations
Residually finite group	Concept	Group theory and generalizations
Hausdorff summation	Definition	Sequences, series, summability
Gordan's lemma	Lemma	Convex and discrete geometry
Exponential sum	Definition	Number theory
Isomorphism of topological groups	Definition	Topological groups, Lie groups
Abscissa of convergence	Definition	Integral transforms, operational calculus
Steenrod algebra	Definition	Algebraic topology
Acyclic object	Definition	Category theory; homological algebra
Milnor K-theory	Definition	K-theory
C* identity	Definition	Functional analysis
Ultrafilter on a Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Sphere packing	Concept	Convex and discrete geometry
Mahalanobis distance	Definition	Statistics
Unit in the last place	Concept	Numerical analysis
Inversive geometry	Concept	Geometry
Poincaré–Birkhoff–Witt theorem	Theorem	Nonassociative rings and algebras
Geometric graph	Concept	Combinatorics
Diamond principle	Concept	Mathematical logic and foundations
Jones polynomial	Definition	Manifolds and cell complexes
Model theory	Concept	Mathematical logic and foundations
Continuum	Definition	General topology
Hardy–Littlewood–Sobolev inequality	Theorem	Harmonic analysis on Euclidean spaces
Nakayama algebra	Definition	Associative rings and algebras
Bézout domain	Concept	Commutative algebra
Biconjugate gradient method	Theorem	Numerical analysis
Double-negation translation	Concept	Mathematical logic and foundations
Hilbert class field	Definition	Number theory
Finite volume method	Concept	Numerical analysis
Eikonal equation	Concept	Partial differential equations
Periodic solutions of integral equations	Concept	Integral equations
Stable homotopy groups of spheres	Concept	Algebraic topology