Every idea

Ideas 9301–9450 of 14183.

Name	Kind	Subject
Class operators H S P	Definition	General algebraic systems
Laguerre geometry	Definition	Geometry
Schiffer's conjecture	Conjecture	Partial differential equations
Lattice-ordered group	Concept	Order, lattices, ordered algebraic structures
Tait conjectures	Theorem	Manifolds and cell complexes
Method of steps	Concept	Ordinary differential equations
Bachmann's reflection geometry	Concept	Geometry
Fourier series method	Definition	Partial differential equations
Hadamard matrix	Concept	Combinatorics
Numerical analysis	Definition	Numerical analysis
Region of convergence	Definition	Integral transforms, operational calculus
Graphical model	Definition	Statistics
Illumination problem	Problem	Convex and discrete geometry
Jackknife	Definition	Statistics
P-adic dynamics	Definition	Dynamical systems and ergodic theory
Pseudorandom number generator	Definition	Numerical analysis
Mathematical formulation of quantum mechanics	Concept	Quantum theory
Double layer potential	Definition	Potential theory
Skew polynomial ring	Definition	Associative rings and algebras
Quantile regression	Definition	Statistics
Steiner conic	Concept	Geometry
Join and meet	Concept	Order, lattices, ordered algebraic structures
Enough projectives	Concept	Category theory; homological algebra
Sparse approximation	Definition	Approximations and expansions
Order complex	Concept	Order, lattices, ordered algebraic structures
Discontinuous Galerkin method	Definition	Numerical analysis
Lipschitz class	Definition	Approximations and expansions
Janson inequality	Theorem	Combinatorics
Markov chain mixing time	Definition	Probability theory and stochastic processes
Homogenization	Definition	Partial differential equations
Gowers norm	Definition	Number theory
Decreasing rearrangement	Definition	Functional analysis
Involute	Definition	Differential geometry
Trigonometric polynomial	Concept	Harmonic analysis on Euclidean spaces
Matrix rings over simple rings are simple	Proposition	Associative rings and algebras
Hilbert's seventeenth problem	Problem	Field theory and polynomials
Positive line bundle	Concept	Several complex variables and analytic spaces
Wythoff construction	Concept	Geometry
Dispersive estimate for the Schrödinger equation	Theorem	Partial differential equations
Descartes' theorem	Theorem	Geometry
Zonal spherical harmonics	Definition	Special functions
Quasi-compactness of the spectrum	Proposition	Algebraic geometry
Strongly regular graph	Definition	Combinatorics
Classification of second-order PDEs	Definition	Partial differential equations
Kantorovich polynomials	Definition	Approximations and expansions
SL(2,C)	Example	Topological groups, Lie groups
Simple module	Definition	Associative rings and algebras
Jump relations for layer potentials	Theorem	Potential theory
Barycentric subdivision	Concept	Algebraic topology
Lattice ideal	Definition	Order, lattices, ordered algebraic structures
Coequalizer	Definition	Category theory; homological algebra
Pettis lemma	Lemma	Topological groups, Lie groups
Properly discontinuous action	Concept	Manifolds and cell complexes
Automatic group	Concept	Group theory and generalizations
Resolvent	Concept	Operator theory
Hilbert projection theorem	Theorem	Functional analysis
Discrete harmonic function	Definition	Potential theory
Ultrafilter	Concept	General topology
Approximately additive function	Concept	Difference and functional equations
Sine and cosine series	Definition	Harmonic analysis on Euclidean spaces
Fisher's exact test	Concept	Statistics
Outer regular measure	Definition	Measure and integration
Birkhoff's ergodic theorem	Theorem	Dynamical systems and ergodic theory
Stefan problem as a variational inequality	Example	Partial differential equations
Generated subalgebra	Definition	General algebraic systems
Grothendieck duality	Theorem	Algebraic geometry
Inscribed square problem	Conjecture	Geometry
Robust statistics	Concept	Statistics
Sierpiński's theorem on non-atomic measures	Theorem	Measure and integration
Multivariate division algorithm	Definition	Commutative algebra
Genus of a curve	Definition	Algebraic geometry
Orthocomplemented lattice	Concept	Order, lattices, ordered algebraic structures
Projective variety	Definition	Algebraic geometry
Atlas	Concept	Manifolds and cell complexes
Projection-slice theorem	Theorem	Integral transforms, operational calculus
Solvable by radicals	Concept	Field theory and polynomials
Fourier transform as Laplace transform on the imaginary axis	Concept	Integral transforms, operational calculus
Cayley–Klein metric	Concept	Geometry
Kac's lemma	Lemma	Dynamical systems and ergodic theory
Rayleigh quotient for symmetric kernels	Definition	Integral equations
Local field	Concept	Number theory
Heun function	Definition	Special functions
Runge–Kutta method for stochastic differential equations	Theorem	Numerical analysis
Subvariety	Definition	General algebraic systems
Diamond principle	Definition	Mathematical logic and foundations
Metacompact space	Definition	General topology
Generalized quadrangle	Definition	Geometry
Mori–Nagata theorem	Theorem	Commutative algebra
Lax–Wendroff method	Definition	Numerical analysis
Dirichlet series as Mellin transforms	Definition	Number theory
Rodrigues' formula	Theorem	Special functions
Inherently nonfinitely based algebra	Definition	General algebraic systems
Prékopa–Leindler inequality	Theorem	Real functions
Pointed cone	Concept	Convex and discrete geometry
Directly indecomposable algebra	Definition	General algebraic systems
Henselization	Definition	Commutative algebra
Starred transform	Definition	Integral transforms, operational calculus
Langlands program	Conjecture	Number theory
Schauder's theorem on adjoints of compact operators	Theorem	Operator theory
Weak-type estimate	Definition	Harmonic analysis on Euclidean spaces
Dilogarithm	Definition	Special functions
Abel equation of the first kind	Example	Ordinary differential equations
Riemann curvature tensor	Concept	Differential geometry
Machine epsilon	Concept	Numerical analysis
Nilmanifold	Definition	Topological groups, Lie groups
Itô calculus	Concept	Probability theory and stochastic processes
Isotonic regression	Concept	Statistics
Hilbert dimension	Definition	Functional analysis
Continuous functional calculus	Concept	Functional analysis
Exact sequence	Concept	Category theory; homological algebra
Kojima–Schur theorem	Theorem	Sequences, series, summability
Inverse Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Dense order	Definition	Order, lattices, ordered algebraic structures
Hybrid system	Definition	Ordinary differential equations
Category of modules	Example	Associative rings and algebras
Equivalence of categories	Definition	Category theory; homological algebra
Riesz's subsequence theorem	Theorem	Measure and integration
Field homomorphism	Definition	Field theory and polynomials
Young measure	Definition	Calculus of variations and optimal control; optimization
Order dimension	Concept	Order, lattices, ordered algebraic structures
Flag manifold	Definition	Algebraic geometry
Homotopy type theory	Definition	Mathematical logic and foundations
Clean ring	Definition	Associative rings and algebras
Resolutivity of boundary functions	Concept	Potential theory
Relaxation oscillation	Definition	Ordinary differential equations
Laplace transforms of sine and cosine	Example	Integral transforms, operational calculus
Idempotent semiring	Concept	Associative rings and algebras
Haar measure on a Lie group	Concept	Topological groups, Lie groups
Symmetry of the Green function	Theorem	Potential theory
Abelian scheme	Concept	Algebraic geometry
Carathéodory's criterion	Theorem	Measure and integration
Householder transformation	Concept	Numerical analysis
Strongly measurable function	Concept	Measure and integration
Three-body problem	Problem	Mechanics of particles and systems
Akaike information criterion	Definition	Statistics
Lomonosov's invariant subspace theorem	Theorem	Operator theory
Morita equivalence of a ring with its matrix rings	Theorem	Associative rings and algebras
Schauder fixed-point theorem for integral equations	Corollary	Integral equations
Normal ring	Definition	Commutative algebra
Spectral theory of compact operators	Theorem	Operator theory
Newman's theorem on rational approximation of the absolute value	Theorem	Approximations and expansions
Affine variety	Concept	Algebraic geometry
Grothendieck group	Definition	K-theory
Airy function	Definition	Special functions
Minimal clone	Definition	General algebraic systems
CR function	Concept	Several complex variables and analytic spaces
Jacobi triple product	Theorem	Number theory
Tetrahedron	Concept	Geometry
Correspondence theorem for congruences	Theorem	General algebraic systems
Sparse matrix	Concept	Numerical analysis