Every idea

Ideas 10651–10800 of 11985.

Name	Kind	Subject
Church's theorem on undecidability of first-order logic	Theorem	Mathematical logic and foundations
Type	Definition	Mathematical logic and foundations
Zeilberger's algorithm	Concept	Special functions
Masur–Veech theorem	Theorem	Dynamical systems and ergodic theory
Profinite group	Definition	Group theory and generalizations
Krein–Rutman theorem	Theorem	Operator theory
Direct method in the calculus of variations	Definition	Calculus of variations and optimal control; optimization
Operator space	Concept	Operator theory
Minkowski plane	Concept	Geometry
Trigonometric integrals	Concept	Special functions
Morita duality	Definition	Associative rings and algebras
Banach manifold	Definition	Global analysis, analysis on manifolds
n-skeleton	Concept	Manifolds and cell complexes
Cole–Hopf transformation	Concept	Partial differential equations
Universal property	Definition	Category theory; homological algebra
Ancillary statistic	Concept	Statistics
Lyndon–Hochschild–Serre spectral sequence	Theorem	Group theory and generalizations
Fractional Brownian motion	Concept	Probability theory and stochastic processes
BK-space	Definition	Functional analysis
Blocking	Definition	Statistics
Banach–Mazur distance	Definition	Functional analysis
Riemann hypothesis	Conjecture	Number theory
Word metric	Concept	Group theory and generalizations
Dual operator	Concept	Operator theory
Hook length formula	Theorem	Combinatorics
Newlander–Nirenberg theorem	Theorem	Several complex variables and analytic spaces
Gabor transform	Definition	Harmonic analysis on Euclidean spaces
Cyclotomic extension	Concept	Field theory and polynomials
Generalized hypergeometric function	Concept	Special functions
Order polynomial	Concept	Order, lattices, ordered algebraic structures
Errors-in-variables model	Definition	Statistics
Geometric lattice	Concept	Order, lattices, ordered algebraic structures
Markov kernel	Definition	Probability theory and stochastic processes
Residually small variety	Definition	General algebraic systems
Brunn–Minkowski theory	Definition	Convex and discrete geometry
Small object argument	Theorem	Category theory; homological algebra
Betti number	Definition	Algebraic topology
von Neumann coordinatization theorem	Theorem	Order, lattices, ordered algebraic structures
Hausdorff content	Concept	Measure and integration
Smale's fourteenth problem	Problem	Dynamical systems and ergodic theory
Method of characteristics	Definition	Partial differential equations
Asymptotic analysis	Definition	Approximations and expansions
Day terms	Definition	General algebraic systems
Bayes risk	Concept	Statistics
Self-distributive operation	Concept	Group theory and generalizations
Rational homotopy theory	Definition	Algebraic topology
Modular group	Object	Number theory
Independent component analysis	Definition	Statistics
Curvelet	Concept	Harmonic analysis on Euclidean spaces
Wasserstein metric	Concept	Calculus of variations and optimal control; optimization
Ore extension	Concept	Associative rings and algebras
Geodesic flow	Example	Dynamical systems and ergodic theory
Nonexpansive map	Concept	Operator theory
Nonparametric statistics	Concept	Statistics
Perfect graph	Definition	Combinatorics
Cyclic extension	Concept	Field theory and polynomials
Complete Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Ultraproduct	Definition	Mathematical logic and foundations
Bockstein homomorphism	Definition	Algebraic topology
The odd integers are not a subgroup of the integers	Example	Group theory and generalizations
Minimal period	Concept	Dynamical systems and ergodic theory
Signed measure	Concept	Measure and integration
Smooth structure	Definition	Manifolds and cell complexes
Pseudo-arc	Example	General topology
Surface	Concept	Manifolds and cell complexes
Measure with density	Definition	Measure and integration
Stone-type duality for varieties	Concept	General algebraic systems
Huntington's axioms	Definition	Order, lattices, ordered algebraic structures
List coloring	Concept	Combinatorics
Galois' theorem on solvability	Theorem	Field theory and polynomials
Algebraic set	Concept	Algebraic geometry
f-ring	Concept	Order, lattices, ordered algebraic structures
Shrinkage estimator	Definition	Statistics
Fourier transform on locally compact abelian groups	Concept	Abstract harmonic analysis
Artinian module	Definition	Associative rings and algebras
Riesz basis	Definition	Harmonic analysis on Euclidean spaces
Lindeberg's condition	Concept	Probability theory and stochastic processes
Risch algorithm	Concept	Computer science
Askey–Gasper inequality	Theorem	Special functions
Zeta function regularization	Concept	Number theory
Opposite ring	Definition	Associative rings and algebras
Littlewood's L1 norm conjecture	Theorem	Harmonic analysis on Euclidean spaces
Köthe–Toeplitz dual	Concept	Functional analysis
Hom functor	Concept	Category theory; homological algebra
Graph embedding	Definition	Combinatorics
Bing–Borsuk conjecture	Conjecture	Manifolds and cell complexes
Perfectly normal space	Concept	General topology
Thompson groups	Object	Group theory and generalizations
Torsion submodule	Definition	Commutative algebra
Reductive group	Definition	Group theory and generalizations
Absolute geometry	Concept	Geometry
Submanifold	Concept	Global analysis, analysis on manifolds
Volterra integral equation	Definition	Integral equations
Azumaya algebra	Concept	Associative rings and algebras
Closed operator	Concept	Operator theory
Pesin theory	Definition	Dynamical systems and ergodic theory
Gibbs phenomenon	Concept	Harmonic analysis on Euclidean spaces
Laman graph	Definition	Convex and discrete geometry
Exposed point	Concept	Convex and discrete geometry
Heat equation	Definition	Partial differential equations
Irreducible representation	Definition	Group theory and generalizations
Fuchsian group	Concept	Group theory and generalizations
Horseshoe lemma	Lemma	Category theory; homological algebra
Linear programming	Concept	Operations research, mathematical programming
Densely defined operator	Definition	Operator theory
Extreme point	Definition	Functional analysis
Wandering set	Concept	Dynamical systems and ergodic theory
Algebraic stack	Concept	Algebraic geometry
Conjugate points	Definition	Differential geometry
Algebraic stack	Definition	Algebraic geometry
Heat equation	Concept	Partial differential equations
Bernstein–Kushnirenko theorem	Theorem	Algebraic geometry
Logarithmic integral	Concept	Special functions
Kriging	Concept	Statistics
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Associated Legendre polynomials	Concept	Special functions
Positive-definite function	Definition	Harmonic analysis on Euclidean spaces
Proj construction	Definition	Algebraic geometry
Annihilator	Definition	Commutative algebra
Line segment	Concept	Convex and discrete geometry
Torsion-free group	Definition	Group theory and generalizations
Slice theorem	Theorem	Manifolds and cell complexes
Twenty-seven lines on a cubic surface	Theorem	Algebraic geometry
Chow–Rashevskii theorem	Theorem	Systems theory; control
Null set	Concept	Measure and integration
Kolmogorov–Arnold representation theorem	Theorem	Real functions
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Askey scheme	Definition	Special functions
Periodic solution	Definition	Ordinary differential equations
Uniform integrability	Concept	Measure and integration
Sheaf cohomology in topology	Definition	Algebraic topology
Complete elliptic integral of the second kind	Concept	Special functions
Elliptic surface	Concept	Algebraic geometry
Modified Bessel functions	Definition	Special functions
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Interval order	Concept	Order, lattices, ordered algebraic structures
Polish space	Definition	General topology
Entourage	Definition	General topology
Jónsson's lemma	Theorem	General algebraic systems
Braided monoidal category	Concept	Category theory; homological algebra
Grunsky matrix	Definition	Functions of a complex variable
Normalization	Definition	Algebraic geometry
Cantor algebra	Example	Order, lattices, ordered algebraic structures
Tensor algebra	Definition	Linear and multilinear algebra; matrix theory
Limit	Definition	Category theory; homological algebra
Character sum	Concept	Number theory
Empirical process	Definition	Probability theory and stochastic processes
q-binomial theorem	Theorem	Special functions