Every idea

Ideas 9901–10050 of 14183.

Name	Kind	Subject
Ring of sets	Concept	Measure and integration
Stanley–Wilf conjecture	Theorem	Combinatorics
Dirichlet space	Concept	Functions of a complex variable
Thom transversality theorem	Theorem	Manifolds and cell complexes
Bézout's theorem	Theorem	Algebraic geometry
Angle of parallelism	Definition	Geometry
Kontinuitätssatz	Theorem	Several complex variables and analytic spaces
Clifford module	Definition	Linear and multilinear algebra; matrix theory
Toponogov's theorem	Theorem	Differential geometry
Spectral radius formula	Theorem	Operator theory
Exponential of a bounded operator	Concept	Operator theory
Rayleigh monotonicity law	Theorem	Potential theory
Convolution	Definition	Abstract harmonic analysis
Frattini subgroup	Concept	Group theory and generalizations
Dedekind zeta function	Concept	Number theory
Reduced ring	Definition	Commutative algebra
Face of a convex set	Concept	Convex and discrete geometry
Superadditive function	Definition	Difference and functional equations
Natural transformation	Concept	Category theory; homological algebra
Renewal theory	Definition	Probability theory and stochastic processes
Topological transformation group	Definition	General topology
Hadamard factorization theorem	Theorem	Functions of a complex variable
Heegaard Floer homology	Definition	Manifolds and cell complexes
Supermartingale	Definition	Probability theory and stochastic processes
CAT(k) space	Definition	Differential geometry
Lasso	Concept	Statistics
Peetre K-functional	Definition	Functional analysis
Quillen equivalence	Concept	Category theory; homological algebra
Anderson–Darling test	Definition	Statistics
Borel's lemma	Lemma	Real functions
Harmonic map	Concept	Global analysis, analysis on manifolds
Initial value theorem	Theorem	Integral transforms, operational calculus
Computable function	Concept	Mathematical logic and foundations
Stark–Heegner theorem	Theorem	Number theory
Analytical hierarchy	Definition	Mathematical logic and foundations
Pluricomplex Green function	Definition	Several complex variables and analytic spaces
Perron integral	Concept	Real functions
Spearman's rank correlation coefficient	Definition	Statistics
Homicidal chauffeur problem	Problem	Calculus of variations and optimal control; optimization
Viète's formula	Theorem	Sequences, series, summability
Backward differentiation formula	Definition	Numerical analysis
Widder's theorem	Theorem	Partial differential equations
Primitive ideal	Concept	Associative rings and algebras
Singular homology	Concept	Algebraic topology
Oka manifold	Definition	Several complex variables and analytic spaces
Grigorchuk group	Object	Group theory and generalizations
Analytic signal	Definition	Information and communication theory, circuits
Lie group–Lie algebra correspondence	Theorem	Topological groups, Lie groups
Jordan–Hölder theorem for modules	Theorem	Associative rings and algebras
Pompeiu problem	Problem	Partial differential equations
Dbar operator	Concept	Several complex variables and analytic spaces
Cobordism hypothesis	Theorem	Manifolds and cell complexes
Inverse function theorem in Banach spaces	Theorem	Global analysis, analysis on manifolds
Rogers–Ramanujan identities	Theorem	Number theory
Envelope of holomorphy	Definition	Several complex variables and analytic spaces
Indefinite orthogonal group	Example	Topological groups, Lie groups
Dolbeault operator	Concept	Several complex variables and analytic spaces
Normalization	Concept	Algebraic geometry
Heaviside cover-up method	Definition	Real functions
Variance reduction	Definition	Numerical analysis
Compact operator	Concept	Operator theory
Finsler manifold	Definition	Differential geometry
Depth	Concept	Commutative algebra
Clausen's formula	Theorem	Special functions
Primary decomposition	Definition	Commutative algebra
Palais–Smale theory of critical points	Theorem	Global analysis, analysis on manifolds
Ax–Grothendieck theorem	Theorem	Mathematical logic and foundations
Dual operator	Definition	Operator theory
Zeros of Bessel functions	Concept	Special functions
Green's function for the Laplacian	Concept	Potential theory
Traveling wave	Concept	Partial differential equations
Curvature of a curve	Definition	Differential geometry
Family-wise error rate	Definition	Statistics
Huntington's axioms	Concept	Order, lattices, ordered algebraic structures
Locally finite family	Definition	General topology
Monoidal category	Concept	Category theory; homological algebra
Complete class theorem	Theorem	Statistics
Convex join	Definition	Convex and discrete geometry
Action-angle coordinates	Concept	Dynamical systems and ergodic theory
Nevanlinna class	Concept	Functions of a complex variable
Place (number field)	Definition	Number theory
Morita duality	Concept	Associative rings and algebras
Bessel potential	Definition	Potential theory
Topological entropy	Definition	Dynamical systems and ergodic theory
Determinantal ideal	Definition	Commutative algebra
Sobolev space	Concept	Functional analysis
Rees matrix semigroup	Definition	Group theory and generalizations
Brun sieve	Concept	Number theory
Noetherian topological space	Definition	General topology
Ultrametric space	Definition	General topology
Lamé function	Definition	Special functions
Cokernel	Definition	Category theory; homological algebra
Total variation denoising	Example	Information and communication theory, circuits
Chebyshev set	Concept	Approximations and expansions
Schur stable polynomial	Definition	Difference and functional equations
Time shift theorem	Theorem	Integral transforms, operational calculus
Tarski's HSP formula	Theorem	General algebraic systems
CORDIC	Theorem	Numerical analysis
j-invariant of an elliptic curve	Definition	Algebraic geometry
Inverse limit of algebras	Definition	General algebraic systems
Arnold's classification of simple critical points	Theorem	Global analysis, analysis on manifolds
Ideal norm	Concept	Number theory
Local coefficient system	Concept	Algebraic topology
Final functor	Concept	Category theory; homological algebra
Hopf fibration	Example	Algebraic topology
Almost split sequence	Concept	Associative rings and algebras
Vanishing cycle	Concept	Several complex variables and analytic spaces
Torsion group	Definition	Group theory and generalizations
Hilbert's fourteenth problem	Problem	Commutative algebra
Bessel polynomials	Concept	Special functions
Hölder summation	Concept	Sequences, series, summability
Matrix summability method	Concept	Sequences, series, summability
Maxwell's equations	Definition	Partial differential equations
Higher homotopy groups are abelian	Proposition	Algebraic topology
Tikhonov regularization	Concept	Operator theory
Projective line over a ring	Concept	Geometry
Chebyshev polynomials	Object	Special functions
Analytical hierarchy	Concept	Mathematical logic and foundations
Cyclic polytope	Concept	Convex and discrete geometry
Bohr almost periodic function	Definition	Harmonic analysis on Euclidean spaces
Analytic index	Definition	Global analysis, analysis on manifolds
Character space	Concept	Functional analysis
Subshift of finite type	Definition	Dynamical systems and ergodic theory
Backward Euler method	Proposition	Numerical analysis
Amalgamated free product	Concept	General algebraic systems
Image of J	Definition	Algebraic topology
Ahlfors theory	Concept	Functions of a complex variable
Energy drift	Definition	Numerical analysis
Elliptic complex	Concept	Global analysis, analysis on manifolds
Modular form	Definition	Number theory
Opposite ring	Concept	Associative rings and algebras
Wandering set	Definition	Dynamical systems and ergodic theory
Wiener–Hopf equation	Definition	Integral equations
Product sigma-algebra	Definition	Measure and integration
Nonlinear potential theory	Concept	Potential theory
Crank–Nicolson method	Theorem	Numerical analysis
Analysis of variance	Concept	Statistics
Homoclinic bifurcation	Definition	Dynamical systems and ergodic theory
Parabolic subgroup	Definition	Topological groups, Lie groups
Unbounded operator	Definition	Operator theory
Statistical learning theory	Definition	Computer science
Sylvester equation	Concept	Linear and multilinear algebra; matrix theory
Gabor frame	Concept	Harmonic analysis on Euclidean spaces
Harish-Chandra's regularity theorem	Theorem	Topological groups, Lie groups
Fisher's inequality	Theorem	Combinatorics
Grünwald–Letnikov derivative	Concept	Real functions
Plurisubharmonic exhaustion function	Definition	Several complex variables and analytic spaces
Post's lattice	Object	General algebraic systems
Biconjugate gradient stabilized method	Proposition	Numerical analysis
Cesàro means of Fourier series	Concept	Harmonic analysis on Euclidean spaces