Every idea

Ideas 5551–5700 of 7806.

Name	Kind	Subject
Monotone convergence theorem	Theorem	Measure and integration
Nagell–Lutz theorem	Theorem	Number theory
Bounded sequences ℓ∞	Example	Functional analysis
Dirichlet boundary condition	Definition	Ordinary differential equations
Bridge number	Concept	Manifolds and cell complexes
Banach lattice	Definition	Functional analysis
Deficiency indices	Concept	Operator theory
Homotopy lifting property	Concept	Algebraic topology
Hilbert's inequality	Theorem	Real functions
Hurwitz zeta function	Concept	Number theory
Sequence space	Definition	Functional analysis
Proof that groups of prime order are cyclic	Proof	Group theory and generalizations
Purely transcendental extension	Concept	Field theory and polynomials
Group	Concept	Group theory and generalizations
Ramsey theory	Concept	Combinatorics
Convergence in measure	Concept	Measure and integration
Coxeter group	Concept	Group theory and generalizations
Singular perturbation	Concept	Ordinary differential equations
Kruskal–Katona theorem	Theorem	Combinatorics
Second-order logic	Concept	Mathematical logic and foundations
Inner model	Concept	Mathematical logic and foundations
abc conjecture	Conjecture	Number theory
Quasi-algebraically closed field	Concept	Field theory and polynomials
Hausdorff moment problem	Problem	Integral transforms, operational calculus
Krasner's lemma	Lemma	Field theory and polynomials
Modal logic	Definition	Mathematical logic and foundations
Constructivism	Concept	Mathematical logic and foundations
Cylinder set measure	Concept	Measure and integration
Proof methods	Topic	General and overarching topics
Complete local ring	Concept	Commutative algebra
Differential field	Concept	Field theory and polynomials
Connection on a principal bundle	Definition	Differential geometry
Unconditional convergence	Definition	Sequences, series, summability
Matrix completion	Problem	Linear and multilinear algebra; matrix theory
p-adic integer	Definition	Field theory and polynomials
Tubular neighborhood theorem	Theorem	Manifolds and cell complexes
Hadamard's maximal determinant problem	Problem	Linear and multilinear algebra; matrix theory
Skolem normal form	Concept	Mathematical logic and foundations
Ostrowski's theorem	Theorem	Field theory and polynomials
Slutsky's theorem	Theorem	Probability theory and stochastic processes
Free probability	Definition	Functional analysis
List coloring	Definition	Combinatorics
Strictly convex space	Concept	Functional analysis
Universal cover	Definition	Manifolds and cell complexes
Stochastic geometry	Definition	Probability theory and stochastic processes
Analytic semigroup	Definition	Operator theory
Fabry gap theorem	Theorem	Functions of a complex variable
Integral of a non-negative function	Definition	Measure and integration
Filtration of a module	Definition	Commutative algebra
Tanaka's formula	Theorem	Probability theory and stochastic processes
Nielsen fixed-point theory	Definition	Algebraic topology
Pythagorean field	Definition	Field theory and polynomials
Approximately finite-dimensional C*-algebra	Definition	Functional analysis
Sequential space	Definition	General topology
Kramers–Kronig relations	Theorem	Functions of a complex variable
q-analog	Concept	Combinatorics
Dimension theory	Concept	Commutative algebra
Chern–Gauss–Bonnet theorem	Theorem	Differential geometry
Separable closure	Definition	Field theory and polynomials
Partial isometry	Concept	Operator theory
Talagrand's concentration inequality	Theorem	Probability theory and stochastic processes
Nagata's criterion for factoriality	Theorem	Commutative algebra
Reeb vector field	Concept	Differential geometry
Algebraic Riccati equation	Concept	Linear and multilinear algebra; matrix theory
Digital topology	Definition	Computer science
Pseudo-Riemannian manifold	Concept	Differential geometry
Incompressible surface	Definition	Manifolds and cell complexes
Going-up theorem	Theorem	Commutative algebra
Hyperbolic 3-manifold	Concept	Manifolds and cell complexes
Nielsen fixed-point theory	Concept	Algebraic topology
Erdős–Rényi model	Definition	Combinatorics
Prime knot	Concept	Manifolds and cell complexes
Z-group	Definition	Group theory and generalizations
Strict Henselization	Concept	Commutative algebra
Curve complex	Definition	Manifolds and cell complexes
Bang–bang control	Concept	Calculus of variations and optimal control; optimization
Stiefel–Whitney class	Definition	Manifolds and cell complexes
Toeplitz matrix	Concept	Linear and multilinear algebra; matrix theory
Automatic group	Definition	Group theory and generalizations
Risch algorithm	Definition	Computer science
Group law on an elliptic curve	Definition	Algebraic geometry
Prime end	Concept	Functions of a complex variable
Representability of cohomology by Eilenberg–MacLane spaces	Theorem	Algebraic topology
Toeplitz operator	Concept	Operator theory
Fourier transform of tempered distributions	Definition	Functional analysis
Relation algebra	Concept	Mathematical logic and foundations
Circle packing theorem	Theorem	Convex and discrete geometry
Interacting particle system	Concept	Probability theory and stochastic processes
Input-to-state stability	Concept	Systems theory; control
Residual set	Concept	General topology
Weyl–Titchmarsh theory	Definition	Ordinary differential equations
Initial topology	Definition	General topology
Neumann boundary condition	Concept	Ordinary differential equations
Weyl's criterion	Theorem	Number theory
Adem relations	Theorem	Algebraic topology
Universally measurable set	Concept	Measure and integration
Dilworth's theorem	Theorem	Order, lattices, ordered algebraic structures
Gromov–Hausdorff convergence	Concept	Differential geometry
Friedrichs extension	Concept	Operator theory
M/M/1 queue	Example	Probability theory and stochastic processes
Property (T)	Concept	Topological groups, Lie groups
Triangular matrix	Concept	Linear and multilinear algebra; matrix theory
Normal closure	Definition	Field theory and polynomials
Crystallographic group	Definition	Group theory and generalizations
Submersion	Definition	Manifolds and cell complexes
Line graph	Concept	Combinatorics
Cerf theory	Definition	Manifolds and cell complexes
Diffusion process	Definition	Probability theory and stochastic processes
Floquet multiplier	Definition	Ordinary differential equations
Floquet theory	Definition	Ordinary differential equations
Global dimension	Concept	Commutative algebra
Space of convergent sequences	Example	Functional analysis
Modular form	Concept	Number theory
Club set	Definition	Mathematical logic and foundations
Second main theorem of Nevanlinna theory	Theorem	Functions of a complex variable
Stallings theorem about ends of groups	Theorem	Group theory and generalizations
de Rham cohomology	Concept	Global analysis, analysis on manifolds
Image of J	Concept	Algebraic topology
Closed graph theorem	Theorem	Functional analysis
Klein quartic	Object	Algebraic geometry
Unramified morphism of rings	Concept	Commutative algebra
De Bruijn sequence	Object	Computer science
Virtually Haken conjecture	Theorem	Manifolds and cell complexes
Krohn–Rhodes theory	Definition	Group theory and generalizations
Cheeger constant	Definition	Combinatorics
Lusin's theorem	Theorem	Measure and integration
Knot invariant	Definition	Manifolds and cell complexes
Knot invariant	Concept	Manifolds and cell complexes
Sobolev embedding theorem	Theorem	Functional analysis
Bergman space	Definition	Functions of a complex variable
Faltings's theorem	Theorem	Number theory
Steenrod square	Definition	Algebraic topology
Focal subgroup theorem	Theorem	Group theory and generalizations
Jacobian criterion	Theorem	Commutative algebra
Analytic function between Banach spaces	Concept	Functional analysis
Convergence of an infinite product	Definition	Sequences, series, summability
Integrally closed domain	Concept	Commutative algebra
Generalized cohomology theory	Concept	Algebraic topology
Painlevé property	Definition	Ordinary differential equations
Geometric Brownian motion	Definition	Probability theory and stochastic processes
Trigonometric functions	Concept	Special functions
Bogdanov–Takens bifurcation	Definition	Ordinary differential equations
Ergodic transformation	Definition	Dynamical systems and ergodic theory
Linear logic	Definition	Mathematical logic and foundations
Perfect set property	Concept	Mathematical logic and foundations
Weak Lp space	Concept	Functional analysis
Topological field	Definition	Field theory and polynomials
Power iteration	Concept	Numerical analysis
Proof of the first isomorphism theorem	Proof	Group theory and generalizations
Frobenius element	Concept	Number theory