Every idea

Ideas 4351–4500 of 14183.

Name	Kind	Subject
Michael selection theorem	Theorem	General topology
Daniell integral	Definition	Measure and integration
120-cell	Object	Geometry
Transfer principle	Theorem	Mathematical logic and foundations
Analytic set	Concept	Mathematical logic and foundations
Leavitt path algebra	Definition	Associative rings and algebras
Markov partition	Definition	Dynamical systems and ergodic theory
Local property	Concept	Commutative algebra
Nagata ring	Concept	Commutative algebra
Dissipative operator	Concept	Operator theory
Calderón–Zygmund operator	Concept	Harmonic analysis on Euclidean spaces
Toeplitz algebra	Object	Operator theory
Variational capacity	Definition	Potential theory
Radial basis function	Definition	Approximations and expansions
Exponential of a bounded operator	Definition	Operator theory
Von Neumann universe	Object	Mathematical logic and foundations
Total variation distance between probability measures	Concept	Probability theory and stochastic processes
Wave front set	Concept	Partial differential equations
Metric outer measure	Concept	Measure and integration
Uniform boundedness conjecture for preperiodic points	Conjecture	Dynamical systems and ergodic theory
Characterization of Shannon entropy	Theorem	Information and communication theory, circuits
Hopf module	Definition	Associative rings and algebras
Brianchon's theorem	Theorem	Geometry
Compact element	Definition	Order, lattices, ordered algebraic structures
Commutant lifting theorem	Theorem	Operator theory
Closable operator	Concept	Operator theory
n-term approximation	Definition	Approximations and expansions
K-function	Definition	Special functions
Moulton plane	Example	Geometry
Hermite–Hadamard inequality	Theorem	Real functions
Mild solution	Concept	Operator theory
Toeplitz operator	Definition	Operator theory
Leray–Schauder degree	Concept	Operator theory
Hartman's uniqueness theorem for harmonic maps	Theorem	Global analysis, analysis on manifolds
Sphere bundle	Concept	Algebraic topology
Rückert Nullstellensatz	Theorem	Several complex variables and analytic spaces
Schoenflies theorem	Theorem	Manifolds and cell complexes
Projective cover	Definition	Associative rings and algebras
Periodic solution of a difference equation	Concept	Difference and functional equations
Tarski–Seidenberg theorem	Theorem	Algebraic geometry
Krohn–Rhodes theory	Concept	Group theory and generalizations
Polar sets and Brownian hitting	Theorem	Probability theory and stochastic processes
Perspectivity	Definition	Geometry
Type and cotype	Definition	Functional analysis
Ten martini problem	Problem	Operator theory
Durand–Kerner method	Theorem	Numerical analysis
Doubly stochastic matrix	Definition	Linear and multilinear algebra; matrix theory
Subadditive function	Concept	Difference and functional equations
Minimal surface equation	Definition	Partial differential equations
Hardy's uncertainty principle	Theorem	Harmonic analysis on Euclidean spaces
Zernike polynomials	Definition	Special functions
Lerch zeta function	Definition	Number theory
Covering space	Concept	Manifolds and cell complexes
Steiner symmetrization	Definition	Convex and discrete geometry
Term algebra	Concept	General algebraic systems
Excellent ring	Definition	Commutative algebra
Picard group	Concept	Algebraic geometry
Hyperkähler manifold	Definition	Differential geometry
Method of multiple scales	Definition	Ordinary differential equations
Wiener–Khinchin theorem	Theorem	Probability theory and stochastic processes
Periodogram	Concept	Statistics
Kolmogorov–Arnold–Moser theorem	Theorem	Dynamical systems and ergodic theory
Bloch space	Definition	Functions of a complex variable
Ahlswede–Daykin inequality	Theorem	Combinatorics
Bootstrap	Concept	Statistics
Auslander–Reiten theory	Definition	Associative rings and algebras
Hilbert dimension	Concept	Functional analysis
Schwarz–Christoffel mapping	Definition	Functions of a complex variable
Quasi-compact morphism	Concept	Algebraic geometry
Mapping class group	Definition	Manifolds and cell complexes
Calculus of variations	Definition	Calculus of variations and optimal control; optimization
Minimum degree algorithm	Fact	Numerical analysis
Perfect set property	Definition	Mathematical logic and foundations
Quotient of a topological group	Concept	Topological groups, Lie groups
Lp multiplier	Definition	Harmonic analysis on Euclidean spaces
Linear regression	Concept	Statistics
Einstein manifold	Concept	Differential geometry
Minimal surface	Concept	Differential geometry
Hyperreal number	Concept	Real functions
Elliptic curve	Concept	Algebraic geometry
Hypergeometric series	Concept	Special functions
Cartan–Hadamard theorem	Theorem	Differential geometry
Baumslag–Solitar group	Example	Group theory and generalizations
Type theory	Definition	Mathematical logic and foundations
Riemann–Hurwitz formula	Theorem	Algebraic geometry
Neural network approximation	Definition	Approximations and expansions
Kahane–Katznelson theorem	Theorem	Harmonic analysis on Euclidean spaces
Response surface methodology	Concept	Statistics
Singularity theory	Concept	Algebraic geometry
Reductive Lie group	Concept	Topological groups, Lie groups
Convex body	Concept	Convex and discrete geometry
Radical of an ideal	Concept	Commutative algebra
Complete intersection	Concept	Algebraic geometry
Interlacing of zeros of orthogonal polynomials	Theorem	Harmonic analysis on Euclidean spaces
Godunov's scheme	Concept	Numerical analysis
Barnes integral	Definition	Special functions
Presentation of an algebra	Concept	General algebraic systems
Quotient category	Concept	Category theory; homological algebra
Nilmanifold	Concept	Topological groups, Lie groups
Lagrangian singularity	Definition	Differential geometry
Schur polynomial	Concept	Combinatorics
Stochastic partial differential equation	Definition	Probability theory and stochastic processes
Credible interval	Concept	Statistics
Survival analysis	Concept	Statistics
Nörlund mean	Definition	Sequences, series, summability
Domain of holomorphy	Concept	Several complex variables and analytic spaces
Analytic index	Concept	Global analysis, analysis on manifolds
Latin square	Definition	Combinatorics
Sorgenfrey plane	Counterexample	General topology
Scheffé's lemma	Lemma	Measure and integration
Pseudosphere	Example	Differential geometry
M-estimator	Concept	Statistics
Digital topology	Concept	Computer science
Day convolution	Concept	Category theory; homological algebra
Wright omega function	Definition	Special functions
Minakshisundaram–Pleijel asymptotic expansion	Theorem	Global analysis, analysis on manifolds
Renewal theory	Concept	Probability theory and stochastic processes
Hodge star operator	Definition	Global analysis, analysis on manifolds
Union-closed sets conjecture	Conjecture	Combinatorics
Regula falsi	Theorem	Numerical analysis
Hypergeometric function	Concept	Special functions
Excessive function	Concept	Probability theory and stochastic processes
Equilibrium measure	Concept	Potential theory
Block system	Definition	Group theory and generalizations
Series in Banach spaces	Definition	Sequences, series, summability
Injective algebra	Definition	General algebraic systems
Collineation	Definition	Geometry
Ample line bundle	Definition	Algebraic geometry
Formalism	Concept	Mathematical logic and foundations
Sinogram	Object	Integral transforms, operational calculus
Convenient vector space	Concept	Functional analysis
Logarithmic potential	Concept	Potential theory
Jordan–von Neumann theorem	Theorem	Functional analysis
Navier–Stokes existence and smoothness	Conjecture	Partial differential equations
Morse–Bott function	Concept	Manifolds and cell complexes
Palais–Smale compactness condition	Concept	Global analysis, analysis on manifolds
Clenshaw algorithm	Proposition	Numerical analysis
Levi problem	Problem	Several complex variables and analytic spaces
External ray	Definition	Dynamical systems and ergodic theory
Volterra series	Definition	Systems theory; control
Separation of variables	Concept	Ordinary differential equations
Monotone operator	Definition	Operator theory
Classical orthogonal polynomials	Concept	Special functions
Second-order logic	Definition	Mathematical logic and foundations
Dedekind number	Concept	Order, lattices, ordered algebraic structures
Abscissa of absolute convergence	Definition	Integral transforms, operational calculus
Löwenheim–Skolem theorem	Theorem	Mathematical logic and foundations
Near-field	Definition	Field theory and polynomials
Interpretation of varieties	Definition	General algebraic systems
q-convex manifold	Definition	Several complex variables and analytic spaces