Every idea

Ideas 9301–9450 of 10181.

Name	Kind	Subject
Euler summation	Definition	Sequences, series, summability
Tennenbaum's theorem	Theorem	Mathematical logic and foundations
Prüfer domain	Definition	Commutative algebra
Turing machine	Definition	Mathematical logic and foundations
d'Alembert's equation	Example	Ordinary differential equations
Composition operator	Definition	Operator theory
Quaternion-Kähler manifold	Definition	Differential geometry
Schrödinger operator	Definition	Ordinary differential equations
Cerf theory	Concept	Manifolds and cell complexes
Chow group	Definition	Algebraic geometry
Legendre's equation	Example	Ordinary differential equations
Sequent calculus	Concept	Mathematical logic and foundations
Dirichlet-to-Neumann operator	Concept	Partial differential equations
Matrix function	Concept	Linear and multilinear algebra; matrix theory
Unary operation	Definition	General algebraic systems
Eichler order	Concept	Number theory
Stiefel manifold	Example	Algebraic topology
Sturm comparison theorem	Theorem	Ordinary differential equations
Universal algebra	Concept	General algebraic systems
Tensor rank	Concept	Linear and multilinear algebra; matrix theory
Dehn twist	Concept	Manifolds and cell complexes
Linear extension	Concept	Order, lattices, ordered algebraic structures
Lambert summation	Concept	Sequences, series, summability
Impossibility of the classical construction problems	Theorem	Field theory and polynomials
Prime ideals of a localization	Proposition	Commutative algebra
Weak derivative	Definition	Functional analysis
Tube lemma	Lemma	General topology
Term operation	Definition	General algebraic systems
Rees algebra	Concept	Commutative algebra
Frobenius method	Concept	Ordinary differential equations
Completely distributive lattice	Definition	Order, lattices, ordered algebraic structures
Hamiltonian vector field	Definition	Differential geometry
Enumerative geometry	Definition	Algebraic geometry
Stopping time	Definition	Probability theory and stochastic processes
Nielsen–Schreier theorem	Theorem	Group theory and generalizations
Néron model	Definition	Algebraic geometry
End and coend	Concept	Category theory; homological algebra
Cantor space	Object	General topology
Sieve	Definition	Category theory; homological algebra
de Rham cohomology	Definition	Global analysis, analysis on manifolds
Fully faithful essentially surjective functor is an equivalence	Theorem	Category theory; homological algebra
Sidon set	Definition	Number theory
Classifying space of a group	Concept	Algebraic topology
Cameron–Martin theorem	Theorem	Measure and integration
Jordan decomposition of a signed measure	Theorem	Measure and integration
Many-sorted algebra	Concept	General algebraic systems
Random walk on a group	Concept	Probability theory and stochastic processes
Eilenberg–MacLane space	Definition	Algebraic topology
Orlicz space	Concept	Functional analysis
Delzant's theorem on toric manifolds	Theorem	Differential geometry
Hyperbolic conservation law	Definition	Partial differential equations
Commutator theory	Definition	General algebraic systems
Smooth manifold	Definition	Global analysis, analysis on manifolds
Tits group	Object	Group theory and generalizations
Ternary operation	Concept	General algebraic systems
Axiom of determinacy	Definition	Mathematical logic and foundations
Hyperelliptic curve	Definition	Algebraic geometry
Invariant basis number	Definition	Associative rings and algebras
Complex multiplication	Definition	Number theory
Azumaya algebra	Definition	Associative rings and algebras
Weyl tensor	Definition	Differential geometry
Outer measure	Definition	Measure and integration
Indecomposable module	Definition	Associative rings and algebras
Complex measure	Definition	Measure and integration
Space of null sequences	Example	Functional analysis
Birkhoff's completeness theorem	Theorem	General algebraic systems
Matrix function	Definition	Linear and multilinear algebra; matrix theory
Signature	Concept	Mathematical logic and foundations
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
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
Anderson localization	Definition	Statistical mechanics, structure of matter
Riemann surface	Definition	Functions of a complex variable
Infinitary operation	Concept	General algebraic systems
Positive cone	Definition	Functional analysis
Post's functional completeness theorem	Theorem	Order, lattices, ordered algebraic structures
p-adic absolute value	Concept	Field theory and polynomials
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
Filtration of a module	Concept	Commutative algebra
Hadamard three-lines theorem	Theorem	Functions of a complex variable
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
Parabolic partial differential equation	Definition	Partial differential equations
Provability logic	Concept	Mathematical logic and foundations
Calabi conjecture	Theorem	Several complex variables and analytic spaces
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
Intersection form	Concept	Manifolds and cell complexes
Nil ideal	Definition	Associative rings and algebras
Alexander polynomial	Definition	Manifolds and cell complexes
Unirational variety	Definition	Algebraic geometry
Pseudocompact space	Definition	General topology
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
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
Feder–Vardi dichotomy conjecture	Conjecture	Computer science
Galois theory	Concept	Field theory and polynomials
Contact manifold	Definition	Differential geometry
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
Penrose–Hawking singularity theorems	Theorem	Relativity and gravitational theory
Essential supremum	Concept	Measure and integration
Field trace	Concept	Field theory and polynomials
Hilbert's fifteenth problem	Problem	Algebraic geometry
Stieltjes function	Concept	Real functions
Gödel's completeness theorem	Theorem	Mathematical logic and foundations
Ideal class group	Concept	Number theory
Chain complex	Concept	Category theory; homological algebra
Easton's theorem	Theorem	Mathematical logic and foundations
Metacompact space	Concept	General topology