Every idea

Ideas 4651–4800 of 7806.

Name	Kind	Subject
Space of functions of bounded variation	Concept	Real functions
Herglotz representation theorem	Theorem	Potential theory
Product measure	Definition	Measure and integration
Differential inclusion	Concept	Ordinary differential equations
Subharmonic function	Definition	Potential theory
Combinatorial Nullstellensatz	Theorem	Combinatorics
Metropolis–Hastings algorithm	Definition	Numerical analysis
Hausdorff measure	Definition	Measure and integration
Max-plus algebra	Definition	Linear and multilinear algebra; matrix theory
Hodge theorem	Theorem	Global analysis, analysis on manifolds
Graph theory	Concept	Combinatorics
Satellite knot	Concept	Manifolds and cell complexes
Spectral theorem for compact self-adjoint operators	Theorem	Operator theory
Subderivative	Definition	Real functions
Discrete valuation	Concept	Field theory and polynomials
Poisson manifold	Concept	Differential geometry
Transversality	Concept	Manifolds and cell complexes
Comb space	Counterexample	General topology
Failure of Aizerman's conjecture	Counterexample	Systems theory; control
Clifford algebra	Concept	Linear and multilinear algebra; matrix theory
Hopf invariant one problem	Theorem	Algebraic topology
Linear topology	Definition	Commutative algebra
Lebesgue covering dimension	Concept	General topology
Tate cohomology	Definition	Group theory and generalizations
Disjoint union topology	Definition	General topology
Cusp form	Concept	Number theory
Uniform space	Concept	General topology
Gauss–Lucas theorem	Theorem	Real functions
Frullani integral	Theorem	Real functions
Collar neighbourhood theorem	Theorem	Manifolds and cell complexes
Continuous-time Markov chain	Definition	Probability theory and stochastic processes
Ultrametric space	Concept	General topology
Irregular singularity	Definition	Ordinary differential equations
Marden's theorem	Theorem	Functions of a complex variable
Pythagorean field	Concept	Field theory and polynomials
Core model	Concept	Mathematical logic and foundations
Selmer group	Definition	Number theory
Schur-convex function	Concept	Real functions
Darboux function	Definition	Real functions
Melnikov method	Concept	Ordinary differential equations
Curry–Howard correspondence	Concept	Mathematical logic and foundations
Modulus of continuity	Definition	Real functions
Gauss's test	Theorem	Sequences, series, summability
Persistent homology	Definition	Algebraic topology
Infinite loop space	Concept	Algebraic topology
Bounded variation	Concept	Real functions
Virtual knot	Definition	Manifolds and cell complexes
Absolute summability	Concept	Sequences, series, summability
Mittag-Leffler summation	Definition	Sequences, series, summability
Determinant trick	Lemma	Commutative algebra
Ideal of compact operators	Definition	Operator theory
Symplectomorphism	Concept	Differential geometry
Van Wijngaarden transformation	Definition	Numerical analysis
Second fundamental form	Definition	Differential geometry
Coxeter group	Definition	Group theory and generalizations
Banach limit	Definition	Sequences, series, summability
Quasiconformal mapping	Definition	Functions of a complex variable
Controllability	Concept	Systems theory; control
Class field theory	Definition	Number theory
Primitive permutation group	Definition	Group theory and generalizations
Regular conditional probability	Definition	Probability theory and stochastic processes
The subgroups of the symmetric group S4	Computation
Condition number	Concept	Linear and multilinear algebra; matrix theory
Standard Borel space	Concept	Measure and integration
Choquet theory	Concept	Functional analysis
Atkinson's theorem	Theorem	Operator theory
Smith conjecture	Theorem	Manifolds and cell complexes
Landau's constants	Concept	Functions of a complex variable
Finite type algebra	Concept	Commutative algebra
Yamabe flow	Concept	Differential geometry
GCD domain	Concept	Commutative algebra
Bogdanov–Takens bifurcation	Concept	Ordinary differential equations
Weierstrass product	Concept	Functions of a complex variable
Pompeiu derivative	Example	Real functions
Linear multistep method	Definition	Numerical analysis
Relative homotopy	Concept	Algebraic topology
Fredholm index	Definition	Operator theory
Tautological one-form	Concept	Differential geometry
Quasicircle	Concept	Functions of a complex variable
Signed measure	Definition	Measure and integration
Right-angled Artin group	Definition	Group theory and generalizations
Baire function	Definition	Real functions
Abelian and Tauberian theorems	Definition	Sequences, series, summability
Branched covering	Definition	Manifolds and cell complexes
Hilbert–Burch theorem	Theorem	Commutative algebra
Riesz–Thorin theorem	Theorem	Functional analysis
Pontryagin class	Definition	Manifolds and cell complexes
Riesz mean	Concept	Sequences, series, summability
Łoś's theorem	Theorem	Mathematical logic and foundations
Knot sum	Concept	Manifolds and cell complexes
Separable Banach space	Concept	Functional analysis
Generalized inverse	Definition	Linear and multilinear algebra; matrix theory
Graphon	Definition	Combinatorics
Semifield	Concept	Field theory and polynomials
Serre spectral sequence	Theorem	Algebraic topology
Milman–Pettis theorem	Theorem	Functional analysis
Spin(7)-manifold	Definition	Differential geometry
Eilenberg–MacLane space	Concept	Algebraic topology
Riemann–Liouville integral	Definition	Real functions
Noetherian module	Concept	Commutative algebra
Infinite loop space	Definition	Algebraic topology
Bauer–Fike theorem	Theorem	Linear and multilinear algebra; matrix theory
Measurable cardinal	Concept	Mathematical logic and foundations
Rice's theorem	Theorem	Mathematical logic and foundations
Steenrod reduced power	Definition	Algebraic topology
Sigma-compact space	Definition	General topology
Multiplicative set	Concept	Commutative algebra
Quotient of a normed space	Definition	Functional analysis
Tensor product of fields	Concept	Field theory and polynomials
Handlebody	Concept	Manifolds and cell complexes
Semiring of sets	Definition	Measure and integration
Algebraic Riccati equation	Definition	Linear and multilinear algebra; matrix theory
Schramm–Loewner evolution	Concept	Probability theory and stochastic processes
Pi-system	Definition	Measure and integration
Knot group	Concept	Manifolds and cell complexes
Simple homotopy equivalence	Concept	Manifolds and cell complexes
Mackey topology	Definition	Functional analysis
Boolean matrix	Concept	Linear and multilinear algebra; matrix theory
Character space	Definition	Functional analysis
P-adic analysis	Concept	Functions of a complex variable
Irregular singularity	Concept	Ordinary differential equations
Hamiltonian path	Definition	Combinatorics
Bartle–Dunford–Schwartz integral	Definition	Functional analysis
Projection-valued measure	Concept	Operator theory
Sphere bundle	Definition	Algebraic topology
Projective connection	Definition	Differential geometry
Lüroth's theorem	Theorem	Field theory and polynomials
Probabilistic method	Definition	Combinatorics
Kirby calculus	Concept	Manifolds and cell complexes
Tensor-hom adjunction	Theorem	Category theory; homological algebra
Kronecker–Weber theorem	Theorem	Number theory
Fréchet algebra	Concept	Functional analysis
Lebesgue point	Definition	Measure and integration
Supersolvable group	Concept	Group theory and generalizations
Tensor field	Definition	Differential geometry
Long exact sequence of a pair	Theorem	Algebraic topology
Ultraproduct	Concept	Mathematical logic and foundations
Modulus of continuity	Concept	Real functions
Stereographic projection	Concept	Functions of a complex variable
Stiff equation	Definition	Numerical analysis
Hopf invariant	Definition	Algebraic topology
Schur orthogonality relations	Theorem	Group theory and generalizations
Proof that the kernel is a normal subgroup	Proof	Group theory and generalizations
Fischer groups	Object	Group theory and generalizations
Cut-elimination theorem	Theorem	Mathematical logic and foundations
Carathéodory's theorem on boundary extension	Theorem	Functions of a complex variable
Difference quotient	Concept	Real functions
Lens space	Example	Manifolds and cell complexes
Ergodic transformation	Concept	Dynamical systems and ergodic theory
Support of a module	Definition	Commutative algebra