Every idea

Ideas 6601–6750 of 7806.

Name	Kind	Subject
Satisfiability	Concept	Mathematical logic and foundations
Symplectomorphism	Definition	Differential geometry
Total curvature	Concept	Differential geometry
Interval arithmetic	Concept	Numerical analysis
Cartan connection	Concept	Differential geometry
Space-filling curve	Example	General topology
Gentzen's consistency proof	Theorem	Mathematical logic and foundations
Method of matched asymptotic expansions	Concept	Ordinary differential equations
Fano plane	Object	Geometry
Schreier refinement theorem	Theorem	Group theory and generalizations
Nilradical	Concept	Commutative algebra
Alexander horned sphere	Counterexample	Manifolds and cell complexes
Counting measure	Example	Measure and integration
Topological manifold	Concept	Manifolds and cell complexes
Dunford–Pettis property	Concept	Functional analysis
Absolutely monotonic function	Concept	Real functions
Triangulation	Definition	Manifolds and cell complexes
Condition number	Definition	Linear and multilinear algebra; matrix theory
Gaussian process	Definition	Probability theory and stochastic processes
Lyapunov exponent	Definition	Ordinary differential equations
Fractional differential equation	Definition	Ordinary differential equations
Logical connective	Concept	Mathematical logic and foundations
Haken manifold	Definition	Manifolds and cell complexes
Packing measure	Definition	Measure and integration
Singular values of a compact operator	Concept	Operator theory
The symmetric group S3 is not abelian	Example	Group theory and generalizations
Join	Definition	General topology
Valuation ring	Concept	Commutative algebra
Seifert surface	Definition	Manifolds and cell complexes
Categorical theory	Definition	Mathematical logic and foundations
Basis of a matroid	Concept	Combinatorics
Cheeger–Gromoll splitting theorem	Theorem	Differential geometry
Lebesgue–Stieltjes measure	Concept	Measure and integration
Mahler measure	Concept	Number theory
MV-algebra	Definition	Order, lattices, ordered algebraic structures
Galois representation	Definition	Number theory
Sanov's theorem	Theorem	Probability theory and stochastic processes
Nonemptiness of the spectrum	Theorem	Functional analysis
Normal family	Definition	Functions of a complex variable
Solvability of x^n - a	Proposition	Field theory and polynomials
Determinacy	Concept	Mathematical logic and foundations
Wild knot	Counterexample	Manifolds and cell complexes
Knot	Concept	Manifolds and cell complexes
Pringsheim convergence	Concept	Sequences, series, summability
Tate's thesis	Concept	Number theory
Tits alternative	Theorem	Group theory and generalizations
Spin structure	Definition	Differential geometry
Wynn's epsilon algorithm	Definition	Numerical analysis
Cohomological dimension of a field	Concept	Field theory and polynomials
Hilbert's syzygy theorem	Theorem	Commutative algebra
Ising model	Example	Statistical mechanics, structure of matter
Derivation	Definition	Commutative algebra
Urysohn universal space	Object	General topology
Marcinkiewicz interpolation theorem	Theorem	Functional analysis
Simplicial homology	Definition	Algebraic topology
3-manifold	Concept	Manifolds and cell complexes
Brauer character	Concept	Group theory and generalizations
Picard's little theorem	Theorem	Functions of a complex variable
Smooth structure	Concept	Manifolds and cell complexes
Liouville's theorems on elliptic functions	Theorem	Special functions
Galois connection between subgroups and subfields	Concept	Field theory and polynomials
Dedekind zeta function	Definition	Number theory
Fréchet–Urysohn space	Concept	General topology
Semilocally simply connected space	Concept	Manifolds and cell complexes
Hurwitz-stable matrix	Definition	Linear and multilinear algebra; matrix theory
Aitken's delta-squared process	Definition	Numerical analysis
Bruck–Ryser–Chowla theorem	Theorem	Combinatorics
Sturm's theorem	Theorem	Field theory and polynomials
Projective resolution	Definition	Commutative algebra
Gelfand–Levitan theory	Concept	Ordinary differential equations
Permanent	Definition	Linear and multilinear algebra; matrix theory
Euler's pentagonal number theorem	Theorem	Number theory
Stochastic ordering	Definition	Probability theory and stochastic processes
Contractible space	Concept	Algebraic topology
Hecke character	Concept	Number theory
The natural numbers under addition are not a group	Example	Group theory and generalizations
Dual pair	Concept	Functional analysis
n-skeleton	Definition	Manifolds and cell complexes
Unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Ruzsa triangle inequality	Theorem	Number theory
Localization of a space	Definition	Algebraic topology
Willmore energy	Concept	Differential geometry
Liouvillian function	Definition	Field theory and polynomials
Cylinder set measure	Definition	Measure and integration
Self-similar measure	Concept	Measure and integration
Hasse–Minkowski theorem	Theorem	Number theory
Frobenius theorem on Cesàro and Abel summability	Theorem	Sequences, series, summability
Linking number	Definition	Manifolds and cell complexes
Cardinal characteristics of the continuum	Definition	Mathematical logic and foundations
Univalent function	Concept	Functions of a complex variable
Thue–Siegel–Roth theorem	Theorem	Number theory
Isometry of Riemannian manifolds	Concept	Differential geometry
Friedberg–Muchnik theorem	Theorem	Mathematical logic and foundations
Weyl's inequality	Theorem	Linear and multilinear algebra; matrix theory
Monad in nonstandard topology	Concept	General topology
Almost everywhere	Concept	Measure and integration
Volterra's function	Counterexample	Real functions
Unramified morphism of rings	Definition	Commutative algebra
Self-similar process	Concept	Probability theory and stochastic processes
Dugundji extension theorem	Theorem	General topology
Wasserstein metric	Definition	Calculus of variations and optimal control; optimization
Mori domain	Definition	Commutative algebra
Iterated exponentiation	Example	Sequences, series, summability
Projection-valued measure	Definition	Operator theory
Self-avoiding walk	Definition	Statistical mechanics, structure of matter
Relation algebra	Definition	Mathematical logic and foundations
Cohomology ring	Concept	Algebraic topology
Local field	Definition	Number theory
Gromov's non-squeezing theorem	Theorem	Differential geometry
Injective module	Definition	Commutative algebra
Quantifier elimination	Definition	Mathematical logic and foundations
Neumann boundary condition	Definition	Ordinary differential equations
Fundamental identity for ramification and inertia	Theorem	Number theory
Carleson measure	Definition	Functions of a complex variable
Grassmannian as classifying space	Example	Algebraic topology
Approximate derivative	Definition	Real functions
Green's relations	Definition	Group theory and generalizations
Compact-open topology	Concept	General topology
Strong dual space	Concept	Functional analysis
Kähler differentials	Definition	Commutative algebra
Bing metrization theorem	Theorem	General topology
Hardy–Littlewood circle method	Definition	Number theory
Banach–Mazur compactum	Object	Functional analysis
Whitney extension theorem	Theorem	Real functions
Beth definability theorem	Theorem	Mathematical logic and foundations
Jensen's covering theorem	Theorem	Mathematical logic and foundations
Group representation	Definition	Group theory and generalizations
Cylindric algebra	Definition	Mathematical logic and foundations
Matrix summability method	Definition	Sequences, series, summability
Mackey–Arens theorem	Theorem	Functional analysis
Local homomorphism	Definition	Commutative algebra
Tomita–Takesaki theory	Definition	Functional analysis
Hilbert polynomial	Concept	Commutative algebra
Borel hierarchy	Definition	Mathematical logic and foundations
Saturated model	Concept	Mathematical logic and foundations
Character of a representation	Concept	Group theory and generalizations
Bartle–Dunford–Schwartz integral	Concept	Functional analysis
Rado graph	Object	Combinatorics
Semicontinuity	Concept	General topology
Gelfond–Schneider theorem	Theorem	Number theory
Stereographic projection	Definition	Functions of a complex variable
Sokhotski–Plemelj theorem	Theorem	Functions of a complex variable
Euler characteristic	Concept	Algebraic topology
Strictly singular operator	Concept	Operator theory
Henselian ring	Concept	Commutative algebra
Orbifold	Concept	Manifolds and cell complexes
Constant-mean-curvature surface	Concept	Differential geometry
Spectral theory	Definition	Operator theory
Dodgson condensation	Concept	Linear and multilinear algebra; matrix theory
Bang–bang control	Definition	Calculus of variations and optimal control; optimization