Every idea

Ideas 7351–7500 of 14183.

Name	Kind	Subject
Coulomb wave function	Concept	Special functions
Positivity of Hankel matrices of moments	Proposition	Integral transforms, operational calculus
Lyapunov function for a difference equation	Definition	Difference and functional equations
Mahlo cardinal	Concept	Mathematical logic and foundations
Krawtchouk polynomials	Concept	Special functions
Courant–Fischer min-max theorem	Theorem	Linear and multilinear algebra; matrix theory
Bias–variance decomposition	Proposition	Statistics
Generator	Concept	Category theory; homological algebra
Hermitian manifold	Concept	Differential geometry
Space of functions of bounded variation	Definition	Real functions
q-analog	Definition	Combinatorics
Heyting arithmetic	Concept	Mathematical logic and foundations
Mann–Whitney U test	Concept	Statistics
Yang–Mills functional	Concept	Global analysis, analysis on manifolds
Strict Henselization	Definition	Commutative algebra
Kepler–Poinsot polyhedron	Object	Geometry
Solution set condition	Concept	Category theory; homological algebra
Hyponormal operator	Definition	Operator theory
Loeb measure	Definition	Measure and integration
Keller–Segel model	Definition	Partial differential equations
Makarov's theorem on harmonic measure	Theorem	Functions of a complex variable
Akaike information criterion	Concept	Statistics
Woodin cardinal	Concept	Mathematical logic and foundations
Shapley–Folkman lemma	Lemma	Convex and discrete geometry
Willmore flow	Definition	Differential geometry
Harmonic analysis	Definition	Harmonic analysis on Euclidean spaces
Backward error analysis	Concept	Numerical analysis
Inversion of the Hilbert transform	Theorem	Integral transforms, operational calculus
Specialization preorder	Concept	General topology
Weil's converse to Haar's theorem	Theorem	Measure and integration
Boundary integral equation for the Neumann problem	Theorem	Potential theory
Iterative method	Definition	Numerical analysis
Hartogs triangle	Counterexample	Several complex variables and analytic spaces
Sieve	Concept	Category theory; homological algebra
Legendre duplication formula	Theorem	Special functions
Characteristic class	Definition	Algebraic topology
Category of posets	Definition	Category theory; homological algebra
Turing degree	Definition	Mathematical logic and foundations
External ray	Concept	Dynamical systems and ergodic theory
Transfer operator	Concept	Dynamical systems and ergodic theory
Finite element method	Definition	Numerical analysis
Hamilton–Jacobi–Bellman equation	Definition	Calculus of variations and optimal control; optimization
Numerical continuation	Definition	Numerical analysis
Lévy process	Definition	Probability theory and stochastic processes
Score	Concept	Statistics
Torsor	Definition	Algebraic geometry
Abstract Wiener space	Concept	Measure and integration
Invertible operator	Concept	Operator theory
Bedford–Taylor theory	Definition	Several complex variables and analytic spaces
Translation equation	Concept	Difference and functional equations
Phase space	Concept	Ordinary differential equations
Electric field integral equation	Example	Optics, electromagnetic theory
Statistical decision theory	Concept	Statistics
Mixture model	Definition	Statistics
Round-off error	Concept	Numerical analysis
Plurisubharmonic function	Definition	Several complex variables and analytic spaces
Gleason's theorem on projective compact spaces	Theorem	General topology
Morita equivalence	Definition	Associative rings and algebras
Combinatorial design	Definition	Combinatorics
Converse of the mean value property	Theorem	Potential theory
2-category	Concept	Category theory; homological algebra
Newton fractal	Example	Dynamical systems and ergodic theory
Direct summand conjecture	Theorem	Commutative algebra
Characteristic variety	Concept	Partial differential equations
Closed immersion	Definition	Algebraic geometry
Ultrafilter on a Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Mollifier	Concept	Functional analysis
Center of a ring	Definition	Associative rings and algebras
Ricci flow	Concept	Differential geometry
Projective module	Definition	Commutative algebra
Kernel approximation in reproducing kernel Hilbert spaces	Definition	Functional analysis
Group scheme	Definition	Algebraic geometry
Fuzzy measure	Concept	Measure and integration
Minimal set	Concept	Dynamical systems and ergodic theory
Smoothness classes	Definition	Real functions
Modulus of smoothness	Concept	Approximations and expansions
Hahn polynomials	Definition	Special functions
Gross–Pitaevskii equation	Definition	Partial differential equations
Modularity theorem	Theorem	Number theory
Moment problem	Problem	Integral transforms, operational calculus
Prenex normal form	Concept	Mathematical logic and foundations
Dougall's formula	Theorem	Special functions
Serre subcategory	Concept	Category theory; homological algebra
Kaczmarz method	Theorem	Numerical analysis
Simplex	Definition	Geometry
Projective geometry over a finite field	Example	Geometry
Deficiency indices	Definition	Operator theory
Beverton–Holt model	Example	Biology and other natural sciences
Incidence geometry	Concept	Geometry
Uniform convergence of absolutely summable Fourier series	Theorem	Harmonic analysis on Euclidean spaces
Multivariate approximation	Concept	Approximations and expansions
Derived functor	Definition	Category theory; homological algebra
p-adic Lie group	Definition	Topological groups, Lie groups
Affine scheme	Definition	Algebraic geometry
Topological conjugacy	Definition	Dynamical systems and ergodic theory
Wald's equation	Theorem	Probability theory and stochastic processes
Detailed balance	Concept	Probability theory and stochastic processes
Equalizer	Concept	Category theory; homological algebra
Pexider equation	Concept	Difference and functional equations
Cartan connection	Definition	Differential geometry
Euclidean tilings by convex regular polygons	Example	Convex and discrete geometry
Exact category	Definition	Category theory; homological algebra
Natural density	Definition	Number theory
Mackey imprimitivity theorem	Theorem	Topological groups, Lie groups
Free monoid	Concept	Group theory and generalizations
Arithmetical hierarchy	Definition	Mathematical logic and foundations
Random ordinary differential equation	Definition	Ordinary differential equations
Local existence of harmonic conjugates	Theorem	Potential theory
Brenier's theorem	Theorem	Calculus of variations and optimal control; optimization
Kelvin problem	Problem	Calculus of variations and optimal control; optimization
Inverse spectral problem	Problem	Ordinary differential equations
Circumsphere	Definition	Geometry
Sigma-finite measure	Definition	Measure and integration
Principal series representation	Concept	Topological groups, Lie groups
Karoubi envelope	Definition	Category theory; homological algebra
Double series	Definition	Sequences, series, summability
Model	Definition	Mathematical logic and foundations
Partial linear space	Concept	Geometry
Fiber bundle	Concept	Algebraic topology
Grothendieck's Galois theory	Concept	Field theory and polynomials
Non-vanishing of the zeta function on the line Re s = 1	Theorem	Number theory
Unimodular group	Concept	Topological groups, Lie groups
Topological ring	Definition	Associative rings and algebras
Homoclinic orbit	Definition	Ordinary differential equations
Alexandrov topology	Definition	General topology
Definable set	Concept	Mathematical logic and foundations
Stein space	Definition	Several complex variables and analytic spaces
Transcendence basis	Definition	Field theory and polynomials
Clean ring	Concept	Associative rings and algebras
Pointless topology	Concept	Order, lattices, ordered algebraic structures
Grassmannian	Object	Algebraic geometry
Pólya's theorem on integer-valued entire functions	Theorem	Functions of a complex variable
Newton polytope	Concept	Algebraic geometry
Gauss–Newton algorithm	Theorem	Numerical analysis
Finite difference	Definition	Difference and functional equations
Berezin integral	Concept	Global analysis, analysis on manifolds
Join-irreducible element	Definition	Order, lattices, ordered algebraic structures
Hemicontinuity	Definition	General topology
Bessel function of the first kind	Concept	Special functions
Special unitary group SU(n)	Example	Topological groups, Lie groups
Birkhoff's subdirect representation theorem	Theorem	General algebraic systems
Totally disconnected group	Definition	Topological groups, Lie groups
Conditionally complete lattice	Concept	Order, lattices, ordered algebraic structures
Kodaira–Nakano vanishing theorem	Theorem	Several complex variables and analytic spaces
Length of a module	Concept	Commutative algebra
Endomorphism monoid	Definition	General algebraic systems
Algebra over a monad	Definition	Category theory; homological algebra
Filtered colimits commute with finite limits	Theorem	Category theory; homological algebra
Proof that a homomorphism is injective iff its kernel is trivial	Proof	Group theory and generalizations
Conley's fundamental theorem of dynamical systems	Theorem	Dynamical systems and ergodic theory