Every idea

Ideas 4201–4350 of 14183.

Name	Kind	Subject
Discriminant of a field extension	Concept	Number theory
Orthogonal polynomials on the unit circle	Definition	Harmonic analysis on Euclidean spaces
Walsh–Hadamard transform	Definition	Harmonic analysis on Euclidean spaces
Loss function	Concept	Statistics
Elliptic partial differential equation	Definition	Partial differential equations
Urysohn space	Definition	General topology
Priority method	Concept	Mathematical logic and foundations
Lagrange's theorem	Theorem	Group theory and generalizations
Feigenbaum–Cvitanović functional equation	Definition	Dynamical systems and ergodic theory
Automorphic form	Concept	Number theory
Thomson problem	Problem	Convex and discrete geometry
Multialgebra	Concept	General algebraic systems
Deformation of complex structure	Definition	Several complex variables and analytic spaces
Milnor fibration theorem	Theorem	Several complex variables and analytic spaces
Internal language	Definition	Mathematical logic and foundations
Erdős–Mordell inequality	Theorem	Geometry
Fourier transform of radial functions	Theorem	Harmonic analysis on Euclidean spaces
Associative algebra	Concept	Associative rings and algebras
Equilibrium of a difference equation	Definition	Difference and functional equations
Strassen algorithm	Concept	Numerical analysis
Hilbert–Schmidt expansion theorem	Theorem	Integral equations
Nilradical is the intersection of the prime ideals	Theorem	Commutative algebra
Weierstrass zeta and sigma functions	Definition	Special functions
Rigidity of frameworks	Definition	Convex and discrete geometry
Gelfand–Mazur theorem	Theorem	Functional analysis
Doléans-Dade exponential	Concept	Probability theory and stochastic processes
Bilateral Z-transform	Concept	Integral transforms, operational calculus
L2 convergence of Fourier series	Theorem	Harmonic analysis on Euclidean spaces
Short-time Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Joukowsky transform	Example	Functions of a complex variable
Similarity solution	Definition	Partial differential equations
Hough transform	Example	Computer science
Oscillatory solution of a difference equation	Concept	Difference and functional equations
Knaster–Kuratowski fan	Counterexample	General topology
Dirac operator	Concept	Global analysis, analysis on manifolds
Fejér kernel	Definition	Harmonic analysis on Euclidean spaces
Multivariate formal power series	Concept	Commutative algebra
Regular measure	Definition	Measure and integration
Formal concept analysis	Definition	Order, lattices, ordered algebraic structures
Finitely presented module	Concept	Commutative algebra
Algebraic approach to constraint satisfaction	Concept	General algebraic systems
Lakes of Wada	Example	General topology
Baskakov operator	Definition	Approximations and expansions
Vector fields on spheres	Theorem	Manifolds and cell complexes
Ending lamination theorem	Theorem	Manifolds and cell complexes
Universal property of free algebras	Theorem	General algebraic systems
Spherical harmonics	Concept	Special functions
Regular boundary point	Definition	Potential theory
Whitney stratification	Concept	Several complex variables and analytic spaces
Nuclear operator	Definition	Operator theory
Orthogonal polynomials on the unit circle	Concept	Harmonic analysis on Euclidean spaces
T(1) theorem	Theorem	Harmonic analysis on Euclidean spaces
Quaternionic analysis	Definition	Functions of a complex variable
Mikusiński field of operators	Definition	Integral transforms, operational calculus
Periodic boundary conditions	Concept	Ordinary differential equations
Vector bundle	Definition	Algebraic geometry
Continuous geometry	Definition	Order, lattices, ordered algebraic structures
Cheng–Yau gradient estimate	Theorem	Potential theory
Upper nilradical	Concept	Associative rings and algebras
Toeplitz matrix	Definition	Linear and multilinear algebra; matrix theory
Fréchet space	Concept	Functional analysis
Faddeeva function	Concept	Special functions
Hurwitz's automorphisms theorem	Theorem	Algebraic geometry
Schwarzian derivative	Definition	Functions of a complex variable
Minimal surface equation	Concept	Partial differential equations
Full and faithful functors	Definition	Category theory; homological algebra
Standard probability space	Definition	Measure and integration
Absolutely free algebra	Definition	General algebraic systems
Co-Heyting algebra	Definition	Order, lattices, ordered algebraic structures
Removable singularities for harmonic functions	Theorem	Potential theory
Hypergeometric function of a matrix argument	Definition	Special functions
Löb's theorem	Theorem	Mathematical logic and foundations
Weeks manifold	Example	Manifolds and cell complexes
Cramér–Wold theorem	Theorem	Probability theory and stochastic processes
Leapfrog integration	Proposition	Numerical analysis
Grothendieck–Riemann–Roch theorem	Theorem	Algebraic geometry
Minimal residual method	Theorem	Numerical analysis
Algebraic lattice	Concept	Order, lattices, ordered algebraic structures
Mollifier	Definition	Functional analysis
Polygamma function	Concept	Special functions
Derivation	Concept	Commutative algebra
Complex cobordism	Definition	Algebraic topology
Oscillator representation	Definition	Topological groups, Lie groups
Berkovich space	Definition	Algebraic geometry
Filter limit	Definition	General topology
Honeycomb theorem	Theorem	Convex and discrete geometry
Maximal torus	Concept	Topological groups, Lie groups
Trace of an integral operator	Concept	Integral equations
Dirichlet kernel	Concept	Harmonic analysis on Euclidean spaces
Square root of a positive operator	Concept	Operator theory
Robinson arithmetic	Concept	Mathematical logic and foundations
Moving frame	Concept	Differential geometry
Carleman matrix	Concept	Difference and functional equations
Truncation error	Definition	Numerical analysis
Minimum principle for harmonic functions	Theorem	Potential theory
Gelfand's formula	Theorem	Linear and multilinear algebra; matrix theory
Birkhoff–von Neumann theorem	Theorem	Linear and multilinear algebra; matrix theory
Ridge regression	Concept	Statistics
Inverse semigroup	Concept	Group theory and generalizations
Jónsson terms	Concept	General algebraic systems
Brownian bridge	Concept	Probability theory and stochastic processes
Einstein field equations	Concept	Relativity and gravitational theory
Linear congruential generator	Definition	Numerical analysis
Complete intersection	Definition	Algebraic geometry
Number of points of a finite projective plane	Proposition	Geometry
Uniform convergence of series	Definition	Sequences, series, summability
Deformation quantization	Concept	Differential geometry
Ultrafilter lemma	Theorem	Mathematical logic and foundations
Gabriel–Popescu theorem	Theorem	Category theory; homological algebra
Holomorphic map	Concept	Several complex variables and analytic spaces
Pluricomplex Green function	Concept	Several complex variables and analytic spaces
Extreme point	Concept	Functional analysis
Jordan–Kinderlehrer–Otto scheme	Concept	Calculus of variations and optimal control; optimization
Ratner's theorems	Theorem	Dynamical systems and ergodic theory
Ergodic hypothesis	Definition	Dynamical systems and ergodic theory
von Mises–Fisher distribution	Definition	Statistics
Milnor–Thurston kneading theory	Theorem	Dynamical systems and ergodic theory
Pushforward measure	Concept	Measure and integration
Forcing	Definition	Mathematical logic and foundations
Ill-posedness of real Laplace inversion	Definition	Integral transforms, operational calculus
Complemented subspace	Definition	Functional analysis
Closed subgroup theorem	Theorem	Topological groups, Lie groups
Brouwer's characterization of the Cantor space	Theorem	General topology
Additive combinatorics	Concept	Number theory
Eisenstein series	Definition	Number theory
Thue's theorem	Theorem	Convex and discrete geometry
Perspective projection	Definition	Geometry
Lyusternik's theorem on tangent spaces	Theorem	Calculus of variations and optimal control; optimization
Homogeneous ideal	Definition	Commutative algebra
Spectral radius	Definition	Linear and multilinear algebra; matrix theory
Diagonal lemma	Lemma	Mathematical logic and foundations
Positive-definite function on a group	Concept	Abstract harmonic analysis
Heteroscedasticity	Definition	Statistics
Boolean model	Definition	Probability theory and stochastic processes
Thue equation	Concept	Number theory
Quasitriangular Hopf algebra	Definition	Associative rings and algebras
Nonparametric statistics	Definition	Statistics
Convergence of the Neumann series for Volterra kernels	Theorem	Integral equations
Functional equation	Definition	Difference and functional equations
Sullivan minimal model	Concept	Algebraic topology
Wigner semicircle law	Theorem	Probability theory and stochastic processes
Saturation of approximation methods	Concept	Approximations and expansions
Bendixson–Dulac theorem	Theorem	Ordinary differential equations
Poincaré conjecture	Theorem	Manifolds and cell complexes
Desargues configuration	Example	Combinatorics
Transfer homomorphism	Concept	Group theory and generalizations
Maass wave form	Concept	Number theory
Graph of an operator	Concept	Operator theory
Hurwitz's theorem (number theory)	Theorem	Number theory
Galois category	Concept	Algebraic geometry