Every idea

Ideas 4951–5100 of 14183.

Name	Kind	Subject
Thom space	Concept	Algebraic topology
Failure of Kalman's conjecture	Counterexample	Systems theory; control
Statistical learning theory	Concept	Computer science
Energy of a map between Riemannian manifolds	Definition	Global analysis, analysis on manifolds
Left ideal	Concept	Associative rings and algebras
Pareto distribution	Example	Probability theory and stochastic processes
Riesz potential operator	Concept	Operator theory
Poincaré classification of circle homeomorphisms	Theorem	Dynamical systems and ergodic theory
Residue field of a point	Definition	Algebraic geometry
Absolute continuity	Definition	Real functions
Congruence criteria for triangles	Theorem	Geometry
Polygon triangulation	Definition	Computer science
Matrix Riemann–Hilbert problem	Problem	Functions of a complex variable
Ruled surface	Concept	Algebraic geometry
Fourier coefficient	Concept	Harmonic analysis on Euclidean spaces
Compact symplectic group	Example	Topological groups, Lie groups
Rounding	Concept	Numerical analysis
Primitive recursive function	Concept	Mathematical logic and foundations
Hierarchical matrix	Concept	Numerical analysis
Knot Floer homology	Concept	Manifolds and cell complexes
Representer theorem	Theorem	Functional analysis
Discrete Painlevé equations	Concept	Difference and functional equations
Logicism	Concept	Mathematical logic and foundations
Fukushima correspondence between Dirichlet forms and processes	Theorem	Probability theory and stochastic processes
Pseudoholomorphic curve	Definition	Several complex variables and analytic spaces
Tropical semiring	Example	Associative rings and algebras
Soundness	Definition	Mathematical logic and foundations
Eulerian number	Concept	Combinatorics
Siegel upper half-space	Object	Several complex variables and analytic spaces
Barycentric subdivision	Definition	Algebraic topology
Fourier transform of tempered distributions	Concept	Functional analysis
Frobenius theorem	Theorem	Global analysis, analysis on manifolds
De Morgan algebra	Concept	Order, lattices, ordered algebraic structures
Norm residue isomorphism theorem	Theorem	K-theory
Epigraph	Definition	Convex and discrete geometry
Sphere theorem for 3-manifolds	Theorem	Manifolds and cell complexes
Bilinear interpolation	Concept	Numerical analysis
Injective object	Concept	Category theory; homological algebra
Cellular automaton	Concept	Dynamical systems and ergodic theory
Finsler manifold	Concept	Differential geometry
Monoidal category	Definition	Category theory; homological algebra
MacCormack method	Definition	Numerical analysis
Translation equation	Definition	Difference and functional equations
Invariant subspace problem	Problem	Operator theory
Oates–Powell theorem	Theorem	Group theory and generalizations
Takens's theorem	Theorem	Dynamical systems and ergodic theory
Wallace–Bolyai–Gerwien theorem	Theorem	Convex and discrete geometry
Homogenization	Concept	Partial differential equations
Frame bundle	Definition	Global analysis, analysis on manifolds
Bicategory	Definition	Category theory; homological algebra
Levi form	Definition	Several complex variables and analytic spaces
Symmetric monoidal category	Concept	Category theory; homological algebra
Tensor product of Hilbert spaces	Definition	Functional analysis
Hyperelliptic curve	Concept	Algebraic geometry
Milnor conjecture on slice genus of torus knots	Theorem	Manifolds and cell complexes
Atomic lattice	Concept	Order, lattices, ordered algebraic structures
L-curve	Concept	Numerical analysis
Saccheri quadrilateral	Concept	Geometry
May recognition principle	Theorem	Algebraic topology
Quasi-arithmetic mean	Definition	Real functions
CW complex	Definition	Manifolds and cell complexes
Ribbon Hopf algebra	Definition	Associative rings and algebras
Derived category	Concept	Category theory; homological algebra
Stable homotopy groups of spheres	Definition	Algebraic topology
Polish group	Definition	Topological groups, Lie groups
Vandermonde matrix	Definition	Linear and multilinear algebra; matrix theory
Final functor	Definition	Category theory; homological algebra
Completely distributive lattice	Concept	Order, lattices, ordered algebraic structures
Geodesic flow on a locally symmetric space	Example	Dynamical systems and ergodic theory
Whitman's condition	Theorem	Order, lattices, ordered algebraic structures
Gegenbauer polynomials	Concept	Special functions
Hamilton–Jacobi equation	Concept	Partial differential equations
Modulus of smoothness	Definition	Approximations and expansions
Numerical continuation	Concept	Numerical analysis
Grandi's series	Example	Sequences, series, summability
Siegel zero	Concept	Number theory
Algebraic combinatorics	Definition	Combinatorics
Trigamma function	Concept	Special functions
Indefinite sum	Definition	Difference and functional equations
Kodaira dimension	Definition	Algebraic geometry
High indices theorem	Theorem	Sequences, series, summability
Mirsky's theorem	Theorem	Order, lattices, ordered algebraic structures
Homotopy continuation for polynomial systems	Concept	Numerical analysis
Riemann extension theorem in several variables	Theorem	Several complex variables and analytic spaces
Flat norm	Definition	Calculus of variations and optimal control; optimization
Virtual fundamental class	Concept	Differential geometry
Dedekind-finite ring	Definition	Associative rings and algebras
Eigenfunction of an integral operator	Definition	Integral equations
Stratonovich integral	Definition	Probability theory and stochastic processes
Free spectrum of a variety	Definition	General algebraic systems
CW complex	Concept	Manifolds and cell complexes
E-infinity operad	Definition	Algebraic topology
Universally catenary ring	Concept	Commutative algebra
Semitopological group	Concept	Topological groups, Lie groups
Weierstrass equation	Definition	Algebraic geometry
Stein interpolation theorem	Theorem	Functional analysis
Perverse sheaf	Concept	Several complex variables and analytic spaces
Brjuno number	Concept	Dynamical systems and ergodic theory
Virtual fundamental class	Definition	Differential geometry
Domination principle	Theorem	Potential theory
Stokes flow	Definition	Fluid mechanics
Bilinear series of a symmetric kernel	Theorem	Integral equations
Maximum and minimum	Concept	Real functions
Topological dynamics	Concept	Dynamical systems and ergodic theory
Lie supergroup	Definition	Global analysis, analysis on manifolds
Clifford algebra	Definition	Linear and multilinear algebra; matrix theory
Fourier–Stieltjes transform	Concept	Harmonic analysis on Euclidean spaces
Kobayashi metric	Definition	Several complex variables and analytic spaces
Inverse mean curvature flow	Concept	Differential geometry
Oscillation of a function	Concept	Real functions
Ordinary least squares	Definition	Statistics
Noetherian scheme	Definition	Algebraic geometry
Krylov–Safonov estimate	Theorem	Partial differential equations
Closed monoidal category	Definition	Category theory; homological algebra
String diagram	Concept	Category theory; homological algebra
Hille–Yosida theorem	Theorem	Operator theory
Rayleigh–Ritz method	Concept	Calculus of variations and optimal control; optimization
Classical Wiener space	Object	Probability theory and stochastic processes
Desargues's theorem	Theorem	Geometry
Fibration and cofibration	Definition	Category theory; homological algebra
Gauss–Legendre quadrature	Definition	Numerical analysis
Bayes factor	Definition	Statistics
Levinson's theorem on asymptotic integration	Theorem	Ordinary differential equations
Singular cohomology	Definition	Algebraic topology
Log-gamma function	Definition	Special functions
Gröbner basis	Definition	Commutative algebra
Perron integral	Definition	Real functions
Crainic–Fernandes integrability theorem	Theorem	Global analysis, analysis on manifolds
Characteristic of a field	Definition	Field theory and polynomials
Connection on a vector bundle	Concept	Differential geometry
Identifiability	Concept	Statistics
Absorbing element	Definition	General algebraic systems
Regular surface	Concept	Differential geometry
Pullback pasting lemma	Lemma	Category theory; homological algebra
Strict partial order	Concept	Order, lattices, ordered algebraic structures
Cantor group	Example	Topological groups, Lie groups
Generator of a semigroup	Concept	Operator theory
Closable operator	Definition	Operator theory
Turing jump	Concept	Mathematical logic and foundations
Tarski–Vaught test	Proposition	Mathematical logic and foundations
Symm's integral equation	Example	Potential theory
Poincaré map	Concept	Dynamical systems and ergodic theory
Harmonic at a point	Concept	Potential theory
Projective line over a ring	Definition	Geometry
Levinson recursion	Theorem	Numerical analysis
Graph enumeration	Definition	Combinatorics
Diaconescu's theorem	Theorem	Mathematical logic and foundations
Deformation quantization	Definition	Differential geometry
Ryll-Nardzewski fixed-point theorem	Theorem	Operator theory
Discrete calculus	Concept	Difference and functional equations