Every idea

Ideas 9751–9900 of 14183.

Name	Kind	Subject
Functional data analysis	Concept	Statistics
Complete integral	Definition	Partial differential equations
Euclidean geometry	Definition	Geometry
Freiman's theorem	Theorem	Number theory
Localization	Definition	Commutative algebra
Zermelo's navigation problem	Problem	Calculus of variations and optimal control; optimization
Equational basis	Definition	General algebraic systems
Trace operator	Definition	Functional analysis
Differentiable dependence on parameters	Theorem	Ordinary differential equations
L-curve	Definition	Numerical analysis
Additive function	Concept	Difference and functional equations
Strassen algorithm	Definition	Numerical analysis
Gale diagram	Concept	Convex and discrete geometry
Jacobi–Anger expansion	Proposition	Special functions
Algebraic surface	Concept	Algebraic geometry
Witt group	Concept	Number theory
Spherical function	Definition	Abstract harmonic analysis
Finitely additive measure	Concept	Measure and integration
Transcritical bifurcation	Concept	Ordinary differential equations
Completion of a valued field	Definition	Field theory and polynomials
Cayley–Menger determinant	Concept	Geometry
Outer function	Concept	Functions of a complex variable
Linear integral equation	Definition	Integral equations
Injective algebra	Concept	General algebraic systems
Unique ergodicity	Definition	Dynamical systems and ergodic theory
Mosco convergence	Concept	Calculus of variations and optimal control; optimization
Orbifold	Definition	Manifolds and cell complexes
Lie–Trotter product formula	Theorem	Operator theory
Instrumental variables estimation	Definition	Statistics
Compressed sensing	Definition	Information and communication theory, circuits
Mutually orthogonal Latin squares	Definition	Combinatorics
Curve complex	Concept	Manifolds and cell complexes
Barycentric coordinates	Definition	Geometry
Strong operator topology	Concept	Operator theory
Nichols algebra	Concept	Associative rings and algebras
Abel transform as the projection of a radial function	Proposition	Integral transforms, operational calculus
Laplace–Stieltjes transform	Concept	Integral transforms, operational calculus
Finitely presented group	Definition	Group theory and generalizations
Ill-posedness of first-kind equations	Theorem	Integral equations
Lusin area integral	Concept	Harmonic analysis on Euclidean spaces
Words and profiles	Definition	Combinatorics
Étale fundamental group	Concept	Algebraic geometry
Volterra equation of convolution type	Definition	Integral equations
Free object	Definition	Category theory; homological algebra
Tight closure	Concept	Commutative algebra
Observed information	Concept	Statistics
Functor	Definition	Category theory; homological algebra
Routh–Hurwitz stability criterion	Theorem	Real functions
Short exact sequence	Concept	Category theory; homological algebra
Completion of a measure	Concept	Measure and integration
Projective morphism	Definition	Algebraic geometry
Proper forcing axiom	Definition	Mathematical logic and foundations
Pasch's axiom	Fact	Geometry
Alexander duality	Theorem	Algebraic topology
Kuratowski embedding	Theorem	General topology
Sub-Riemannian manifold	Definition	Differential geometry
Partition of unity	Definition	Global analysis, analysis on manifolds
Free distributive lattice	Definition	Order, lattices, ordered algebraic structures
Laguerre series expansion of the Laplace transform	Definition	Integral transforms, operational calculus
Logical consequence	Definition	Mathematical logic and foundations
Aronszajn tree	Object	Mathematical logic and foundations
Milne problem	Example	Integral equations
Hilbert's axioms	Concept	Geometry
Hurwitz quaternion order	Example	Number theory
Douglas–Radó solution of Plateau's problem	Theorem	Calculus of variations and optimal control; optimization
Riemann–Hilbert correspondence	Theorem	Several complex variables and analytic spaces
Fréchet mean	Definition	Statistics
Reuleaux triangle	Example	Convex and discrete geometry
Hermite–Minkowski theorem	Theorem	Number theory
Sidorenko's conjecture	Conjecture	Combinatorics
Tricolorability	Concept	Manifolds and cell complexes
Whitney umbrella	Example	Manifolds and cell complexes
Unital magma	Concept	Group theory and generalizations
Ringed space	Concept	Algebraic geometry
Siegel disc	Concept	Dynamical systems and ergodic theory
Fundamental domain	Concept	Topological groups, Lie groups
H-representation and V-representation	Definition	Convex and discrete geometry
Incomplete beta function	Definition	Special functions
Quasi-Frobenius ring	Concept	Associative rings and algebras
Koebe's theorem on the mean value property	Theorem	Potential theory
Nonexistence of a projective plane of order 10	Theorem	Geometry
Character table	Definition	Group theory and generalizations
Differentially closed field	Concept	Field theory and polynomials
Growth of algebras	Definition	Associative rings and algebras
Quasi-coherent sheaf	Concept	Algebraic geometry
Associahedron	Example	Convex and discrete geometry
Morse function	Concept	Manifolds and cell complexes
Hall subgroup	Concept	Group theory and generalizations
Hecke character	Definition	Number theory
Mellin transform	Definition	Integral transforms, operational calculus
Free functor	Definition	General algebraic systems
Holomorphic dynamics in several variables	Definition	Dynamical systems and ergodic theory
Wiener–Ikehara theorem	Theorem	Number theory
Matrix pencil	Concept	Linear and multilinear algebra; matrix theory
Regular value theorem	Theorem	Manifolds and cell complexes
Parareal	Proposition	Numerical analysis
Self-injective ring	Concept	Associative rings and algebras
Kolmogorov backward equation	Concept	Probability theory and stochastic processes
Monodromy of the hypergeometric equation	Definition	Special functions
Tangential Cauchy–Riemann equations	Definition	Several complex variables and analytic spaces
Structural stability	Definition	Ordinary differential equations
Omega-complete partial order	Definition	Order, lattices, ordered algebraic structures
Symmetric operator	Definition	Operator theory
Bateman transform	Concept	Partial differential equations
Normal ring	Concept	Commutative algebra
Independence of sample mean and sample variance for normal samples	Theorem	Statistics
Ordered group	Concept	Order, lattices, ordered algebraic structures
Viscosity solution of the Hamilton–Jacobi–Bellman equation	Theorem	Calculus of variations and optimal control; optimization
Hazard function	Definition	Statistics
Unbounded operator	Concept	Operator theory
Area-minimizing current	Definition	Calculus of variations and optimal control; optimization
McKenzie's undecidability of the finite basis problem	Theorem	General algebraic systems
Field norm	Concept	Field theory and polynomials
Noncommutative ring	Definition	Associative rings and algebras
Associativity equation	Definition	Difference and functional equations
Aperiodic set of prototiles	Definition	Convex and discrete geometry
Euclidean geometry	Concept	Geometry
Self-similar process	Definition	Probability theory and stochastic processes
Hénon map	Example	Dynamical systems and ergodic theory
Gibbs sampling	Proposition	Numerical analysis
Turing pattern	Definition	Partial differential equations
Versal unfolding	Concept	Global analysis, analysis on manifolds
Localization of a category	Definition	Category theory; homological algebra
Extreme set	Definition	Convex and discrete geometry
Measure algebra	Definition	Measure and integration
Kakeya problem over finite fields	Theorem	Geometry
Level-set method	Definition	Numerical analysis
Countably generated structure	Definition	General algebraic systems
Epsilon nought	Object	Mathematical logic and foundations
Zarankiewicz problem	Problem	Combinatorics
Embedded prime	Definition	Commutative algebra
Autoregressive integrated moving average	Concept	Statistics
Milnor fibration theorem	Theorem	Several complex variables and analytic spaces
Class number problem	Problem	Number theory
Class number	Concept	Number theory
dg category	Concept	Category theory; homological algebra
Lamé function	Concept	Special functions
Regular local ring	Definition	Commutative algebra
Korteweg–De Vries equation	Concept	Partial differential equations
Spline	Definition	Approximations and expansions
Estimating equations	Definition	Statistics
Denjoy–Carleman theorem	Theorem	Real functions
Algebraic independence	Concept	Field theory and polynomials
Adjoint functors	Definition	Category theory; homological algebra
Dedekind eta function	Definition	Number theory
Neville's algorithm	Definition	Numerical analysis
Bloch's theorem	Theorem	Functions of a complex variable
Dimension theorem for local rings	Theorem	Commutative algebra
Algorithmic randomness	Concept	Mathematical logic and foundations
Real closure	Definition	Field theory and polynomials