Every idea

Ideas 12901–13050 of 14167.

Name	Kind	Subject
Space of null sequences	Example	Functional analysis
Jacobi amplitude	Concept	Special functions
Birkhoff's completeness theorem	Theorem	General algebraic systems
Harmonic measure as exit distribution	Theorem	Probability theory and stochastic processes
Matrix function	Definition	Linear and multilinear algebra; matrix theory
Signature	Concept	Mathematical logic and foundations
Quadratic polynomial dynamics	Concept	Dynamical systems and ergodic theory
Chen's theorem	Theorem	Number theory
Van der Pol oscillator	Example	Ordinary differential equations
Sigma-finite measure	Concept	Measure and integration
Generic filter	Concept	Mathematical logic and foundations
Fundamental domain	Definition	Topological groups, Lie groups
Cobordism ring	Definition	Manifolds and cell complexes
Hypersingular integral equation	Definition	Integral equations
Hartley transform	Concept	Integral transforms, operational calculus
Axiom of dependent choice	Concept	Mathematical logic and foundations
Natural boundary	Definition	Functions of a complex variable
Aitken's delta-squared process	Concept	Numerical analysis
Prime radical	Concept	Associative rings and algebras
Stable manifold theorem	Theorem	Ordinary differential equations
Reflection formula for the gamma function	Theorem	Special functions
Rate function	Definition	Probability theory and stochastic processes
Jacobson topology	Concept	Associative rings and algebras
Hilbert symbol	Concept	Number theory
Bateman transform	Definition	Partial differential equations
Anderson localization	Definition	Statistical mechanics, structure of matter
Mehler–Fock transform	Concept	Integral transforms, operational calculus
Riemann surface	Definition	Functions of a complex variable
Periodic tiling	Concept	Convex and discrete geometry
Necklace splitting theorem	Theorem	Combinatorics
Infinitary operation	Concept	General algebraic systems
Unique solvability of Volterra equations of the second kind	Theorem	Integral equations
Positive cone	Definition	Functional analysis
Post's functional completeness theorem	Theorem	Order, lattices, ordered algebraic structures
Dual Radon transform	Definition	Integral transforms, operational calculus
Lüroth problem	Problem	Algebraic geometry
p-adic absolute value	Concept	Field theory and polynomials
Titchmarsh convolution theorem	Theorem	Integral transforms, operational calculus
Projective cover	Concept	Associative rings and algebras
Order polynomial	Definition	Order, lattices, ordered algebraic structures
Inner model	Definition	Mathematical logic and foundations
Completeness in order theory	Definition	Order, lattices, ordered algebraic structures
Internal language	Concept	Mathematical logic and foundations
Lattice	Concept	Order, lattices, ordered algebraic structures
Holonomy	Concept	Differential geometry
Integral current	Definition	Calculus of variations and optimal control; optimization
Quadratic functional equation	Definition	Difference and functional equations
Midpoint method	Proposition	Numerical analysis
Filtration of a module	Concept	Commutative algebra
Hadamard three-lines theorem	Theorem	Functions of a complex variable
Hamilton–Jacobi–Isaacs equation	Concept	Calculus of variations and optimal control; optimization
Congruence lattice problem	Problem	Order, lattices, ordered algebraic structures
Castelnuovo's contraction theorem	Theorem	Algebraic geometry
Direct product of algebras	Concept	General algebraic systems
Hilbert sum	Concept	Functional analysis
Nakano positivity	Concept	Several complex variables and analytic spaces
Parabolic partial differential equation	Definition	Partial differential equations
Provability logic	Concept	Mathematical logic and foundations
Calabi conjecture	Theorem	Several complex variables and analytic spaces
Lebesgue's lemma on near-best approximation	Lemma	Approximations and expansions
Morphism of varieties	Definition	Algebraic geometry
Local ring	Definition	Commutative algebra
Matrix congruence	Concept	Linear and multilinear algebra; matrix theory
Hopf algebra structure on cohomology	Concept	Algebraic topology
Simplicial object	Concept	Category theory; homological algebra
Commuting elements	Definition	General algebraic systems
Smoothness classes	Concept	Real functions
Double sequence	Definition	Sequences, series, summability
Envelope theorem	Theorem	Operations research, mathematical programming
Intersection form	Concept	Manifolds and cell complexes
Coherent analytic sheaf	Definition	Several complex variables and analytic spaces
Nil ideal	Definition	Associative rings and algebras
Alexander polynomial	Definition	Manifolds and cell complexes
Chattering control	Definition	Calculus of variations and optimal control; optimization
Fredholm minors	Definition	Integral equations
Unirational variety	Definition	Algebraic geometry
Pseudocompact space	Definition	General topology
Gamma of one half	Proposition	Special functions
Nonstandard analysis	Concept	Real functions
Sequential space	Concept	General topology
Baker's theorem	Theorem	Number theory
Corona theorem	Theorem	Functions of a complex variable
Luzin N property	Concept	Real functions
Regular category	Definition	Category theory; homological algebra
Weak and strong extremum	Concept	Calculus of variations and optimal control; optimization
Pseudocomplement	Concept	Order, lattices, ordered algebraic structures
Richardson extrapolation	Concept	Numerical analysis
Riemann–Roch theorem	Theorem	Algebraic geometry
Wirtinger derivatives	Concept	Functions of a complex variable
Morley rank	Concept	Mathematical logic and foundations
Series in Banach spaces	Concept	Sequences, series, summability
Divisor class group	Concept	Commutative algebra
Lattice (group)	Concept	Number theory
Stopping time	Concept	Probability theory and stochastic processes
Antithetic variates	Theorem	Numerical analysis
John ellipsoid	Concept	Convex and discrete geometry
Feder–Vardi dichotomy conjecture	Conjecture	Computer science
Szegő limit theorems	Theorem	Operator theory
Galois theory	Concept	Field theory and polynomials
Hilbert's thirteenth problem	Problem	Real functions
Contact manifold	Definition	Differential geometry
Incomplete beta function	Concept	Special functions
Category of sets	Example	Category theory; homological algebra
Whitehead product	Definition	Algebraic topology
Free lattice	Concept	Order, lattices, ordered algebraic structures
Robertson–Seymour theorem	Theorem	Combinatorics
Sufficient statistic	Concept	Statistics
Penrose–Hawking singularity theorems	Theorem	Relativity and gravitational theory
Essential supremum	Concept	Measure and integration
Field trace	Concept	Field theory and polynomials
Laplace transform of the Heaviside step function	Example	Integral transforms, operational calculus
Hilbert's fifteenth problem	Problem	Algebraic geometry
Stieltjes function	Concept	Real functions
Stochastic difference equation	Concept	Difference and functional equations
Gödel's completeness theorem	Theorem	Mathematical logic and foundations
Ideal class group	Concept	Number theory
Chain complex	Concept	Category theory; homological algebra
Jackknife	Concept	Statistics
Easton's theorem	Theorem	Mathematical logic and foundations
Arnold tongue	Concept	Dynamical systems and ergodic theory
Metacompact space	Concept	General topology
Wilks' theorem	Theorem	Statistics
Funk transform	Concept	Integral transforms, operational calculus
McKay conjecture	Theorem	Group theory and generalizations
Tight and overtwisted contact structures	Concept	Manifolds and cell complexes
Jackson's inequality	Theorem	Approximations and expansions
Null-homotopic map	Definition	Algebraic topology
Screw theory	Definition	Mechanics of particles and systems
Finitely generated algebra	Concept	General algebraic systems
Kolmogorov extension theorem	Theorem	Probability theory and stochastic processes
Abstract polytope	Concept	Convex and discrete geometry
Uniqueness of solutions given initial values	Proposition	Difference and functional equations
Triangle center	Concept	Geometry
Maximal order	Definition	Associative rings and algebras
Quasivariety	Concept	General algebraic systems
Discrete harmonic function	Concept	Potential theory
Bridge number	Definition	Manifolds and cell complexes
Gale diagram	Definition	Convex and discrete geometry
Solution of recurrences by generating functions	Concept	Difference and functional equations
Linear and stable summation methods	Definition	Sequences, series, summability
Propagation of uncertainty	Concept	Numerical analysis
Mean-field game	Concept	Game theory, economics, finance, and other social and behavioral sciences
Costate equation	Concept	Calculus of variations and optimal control; optimization
Menger sponge	Example	General topology
Henselian ring	Definition	Commutative algebra
Lebesgue's density theorem	Theorem	Measure and integration
Bounded symmetric domain	Definition	Several complex variables and analytic spaces
Classifying space	Concept	Algebraic topology
Euler transform	Concept	Sequences, series, summability
G-structure	Definition	Differential geometry