Every idea

Ideas 7501–7650 of 14183.

Name	Kind	Subject
Almost Mathieu operator	Example	Operator theory
Tent map	Example	Dynamical systems and ergodic theory
Relative CW complex	Concept	Manifolds and cell complexes
Solvmanifold	Definition	Topological groups, Lie groups
Set-valued analysis	Concept	Calculus of variations and optimal control; optimization
Fresnel integrals	Concept	Special functions
Chromatic homotopy theory	Definition	Algebraic topology
Localization of a space	Concept	Algebraic topology
Euler–Maruyama method	Definition	Numerical analysis
Mahler's theorem	Theorem	Number theory
Girth	Concept	Combinatorics
Extremally disconnected space	Definition	General topology
6-j symbol	Concept	Special functions
Newton polygon	Definition	Field theory and polynomials
Hilbert's invariant integral	Concept	Calculus of variations and optimal control; optimization
Interval arithmetic	Definition	Numerical analysis
LYM inequality	Theorem	Combinatorics
Derived category of coherent sheaves	Definition	Algebraic geometry
Littlewood–Paley decomposition	Concept	Harmonic analysis on Euclidean spaces
Difference set	Definition	Combinatorics
Noncommutative ring	Concept	Associative rings and algebras
Lorentzian manifold	Definition	Differential geometry
Suslin's problem	Problem	Mathematical logic and foundations
Moments and orthogonal polynomials	Definition	Integral transforms, operational calculus
Order of a projective plane	Definition	Geometry
Topological transitivity	Definition	Dynamical systems and ergodic theory
Maximum principle	Theorem	Partial differential equations
Liénard equation	Example	Ordinary differential equations
Nuclear C*-algebra	Concept	Functional analysis
Bass's theorem P	Theorem	Associative rings and algebras
Ore extension	Definition	Associative rings and algebras
Semiring	Concept	Associative rings and algebras
Bernoulli scheme	Example	Dynamical systems and ergodic theory
Opposite structure	Concept	General algebraic systems
Adams–Novikov spectral sequence	Theorem	Algebraic topology
Whitehead tower	Concept	Algebraic topology
Space of bounded continuous functions	Definition	Functional analysis
Quasi-measure-preserving map	Definition	Measure and integration
Euler's formula for polytopes	Theorem	Convex and discrete geometry
Capacity of a disc and a segment	Example	Potential theory
Homomorphism	Definition	General algebraic systems
Alexandrov–Fenchel inequality	Theorem	Convex and discrete geometry
Path space fibration	Concept	Algebraic topology
Feedback linearization	Definition	Systems theory; control
Closure of an operator	Definition	Operator theory
Similarity transformation	Concept	Geometry
Complex multiplication	Concept	Number theory
Kelvin functions	Definition	Special functions
Homotopy extension property	Concept	Algebraic topology
Tychonoff plank	Counterexample	General topology
Second Cousin problem	Problem	Several complex variables and analytic spaces
Frölicher–Nijenhuis bracket	Concept	Global analysis, analysis on manifolds
Geometric Brownian motion	Concept	Probability theory and stochastic processes
Structural stability	Concept	Ordinary differential equations
Locally connected space	Definition	General topology
Riccati difference equation	Concept	Difference and functional equations
Socle of a module	Definition	Associative rings and algebras
Polyharmonic spline	Definition	Approximations and expansions
Iwasawa manifold	Example	Several complex variables and analytic spaces
Spline interpolation	Concept	Approximations and expansions
Puiseux series	Definition	Commutative algebra
Uniform algebra	Definition	Functional analysis
Oscillatory integral	Concept	Harmonic analysis on Euclidean spaces
Holomorphically convex domain	Concept	Several complex variables and analytic spaces
Lax equivalence theorem	Theorem	Numerical analysis
Endomorphism ring	Definition	Associative rings and algebras
k-means clustering	Concept	Statistics
De Giorgi's structure theorem	Theorem	Calculus of variations and optimal control; optimization
Simson line	Definition	Geometry
Horn	Concept	Algebraic topology
Equilibrium of a difference equation	Concept	Difference and functional equations
Quasi-algebraically closed field	Definition	Field theory and polynomials
Cyclic algebra	Concept	Associative rings and algebras
Polynomial long division	Concept	Commutative algebra
Yoneda lemma	Lemma	Category theory; homological algebra
Prokhorov's theorem	Theorem	Probability theory and stochastic processes
Lelong number	Definition	Several complex variables and analytic spaces
Post's inversion formula	Theorem	Integral transforms, operational calculus
Extension and contraction of ideals	Definition	Commutative algebra
Abelian and Tauberian theorems	Concept	Sequences, series, summability
Beck's theorem	Theorem	Convex and discrete geometry
Complete lattice	Concept	Order, lattices, ordered algebraic structures
Eigendecomposition	Theorem	Linear and multilinear algebra; matrix theory
Puppe sequence	Theorem	Algebraic topology
Countable additivity	Concept	Measure and integration
Fusion category	Concept	Category theory; homological algebra
Fourier analysis	Definition	Harmonic analysis on Euclidean spaces
Transcendence degree	Concept	Field theory and polynomials
Topological field	Concept	Field theory and polynomials
Projective connection	Concept	Differential geometry
Hilbert's Nullstellensatz	Theorem	Commutative algebra
Singular point of an algebraic variety	Concept	Algebraic geometry
Ulm's theorem	Theorem	Group theory and generalizations
Subcategory	Concept	Category theory; homological algebra
Commutative diagram	Definition	Category theory; homological algebra
Standard conjectures on algebraic cycles	Conjecture	Algebraic geometry
Topology of pointwise convergence	Definition	General topology
Boundary integral method for the Dirichlet problem	Definition	Potential theory
Specht module	Definition	Group theory and generalizations
Positive solutions of integral equations	Concept	Integral equations
Domain of convergence of a power series	Theorem	Several complex variables and analytic spaces
Heteroscedasticity	Concept	Statistics
Rota's basis conjecture	Conjecture	Combinatorics
Nonlinear approximation	Definition	Approximations and expansions
Hopf conjecture	Conjecture	Differential geometry
Axiom schema of replacement	Concept	Mathematical logic and foundations
Gauss–Legendre Runge–Kutta methods	Theorem	Numerical analysis
Computable function	Definition	Mathematical logic and foundations
Kolmogorov's inequality	Theorem	Probability theory and stochastic processes
Ahlfors–Bers theorem	Theorem	Functions of a complex variable
Blaschke selection theorem	Theorem	Convex and discrete geometry
Laplace–Stieltjes transform	Definition	Integral transforms, operational calculus
Stone–Čech compactification	Concept	General topology
Standard Borel space	Definition	Measure and integration
Directed set	Concept	Order, lattices, ordered algebraic structures
Jackson kernel	Definition	Harmonic analysis on Euclidean spaces
Bifurcation theory	Concept	Dynamical systems and ergodic theory
Quantum ergodicity	Theorem	Global analysis, analysis on manifolds
Cluster analysis	Concept	Statistics
Kleisli category	Concept	Category theory; homological algebra
Schur polynomial	Definition	Combinatorics
Lagrange basis polynomials	Concept	Approximations and expansions
Residually finite group	Definition	Group theory and generalizations
Quantale	Concept	Order, lattices, ordered algebraic structures
Hadamard gap theorem	Theorem	Functions of a complex variable
Transversality conditions for variable endpoints	Theorem	Calculus of variations and optimal control; optimization
Fast marching method	Proposition	Numerical analysis
Opposite category	Concept	Category theory; homological algebra
Projective plane	Concept	Geometry
Thiele's interpolation formula	Proposition	Approximations and expansions
Topological quantum field theory	Concept	Manifolds and cell complexes
Monte Carlo integration	Theorem	Numerical analysis
Tridiagonal matrix	Concept	Linear and multilinear algebra; matrix theory
Subdirectly irreducible algebra	Concept	General algebraic systems
Solving linear difference equations by the Z-transform	Concept	Difference and functional equations
Relative homology	Definition	Algebraic topology
Nelson–Aalen estimator	Definition	Statistics
Least fixed point	Concept	Order, lattices, ordered algebraic structures
Time series	Definition	Statistics
Karamata's Tauberian theorem	Theorem	Sequences, series, summability
Chaos theory	Concept	Dynamical systems and ergodic theory
Differentiation operator as inverse of integration	Proposition	Integral transforms, operational calculus
Logarithmic capacity	Concept	Potential theory
Mixed finite element method	Definition	Numerical analysis
Ternary discriminator	Definition	General algebraic systems
Graph of groups	Concept	Group theory and generalizations
Obstruction theory	Definition	Algebraic topology
Second-order arithmetic	Concept	Mathematical logic and foundations
Characteristic value of a kernel	Concept	Integral equations
(p,q)-form	Concept	Several complex variables and analytic spaces