Every idea

Ideas 10801–10950 of 14183.

Name	Kind	Subject
Levi-Civita connection	Definition	Differential geometry
Generalized polygon	Concept	Geometry
Digamma function	Definition	Special functions
State on a C*-algebra	Definition	Functional analysis
Convergence of an infinite product	Concept	Sequences, series, summability
Poisson integral formula	Theorem	Potential theory
Commutative algebra over a ring	Definition	Commutative algebra
Polydisc	Definition	Several complex variables and analytic spaces
Residual set	Definition	General topology
Shelf	Concept	Group theory and generalizations
CW approximation	Theorem	Algebraic topology
Laguerre–Pólya class	Definition	Functions of a complex variable
Displacement convexity	Definition	Calculus of variations and optimal control; optimization
Unit ball in C^n	Object	Several complex variables and analytic spaces
Bishop–Phelps theorem	Theorem	Functional analysis
Fast wavelet transform	Concept	Numerical analysis
Gateaux derivative	Definition	Functional analysis
Particular values of the gamma function	Example	Special functions
Hedetniemi's conjecture	Counterexample	Combinatorics
Projection body	Definition	Convex and discrete geometry
Absolute summability	Definition	Sequences, series, summability
Chebyshev iteration	Theorem	Numerical analysis
Moving-average model	Concept	Statistics
Dürer's conjecture	Conjecture	Convex and discrete geometry
Noether's second theorem	Theorem	Mechanics of particles and systems
Torsion-free group	Concept	Group theory and generalizations
Levi pseudoconvex domain	Concept	Several complex variables and analytic spaces
Axiom of determinacy	Concept	Mathematical logic and foundations
Wave front set	Definition	Partial differential equations
Complete statistic	Definition	Statistics
Lattice polytope	Definition	Convex and discrete geometry
Catmull–Clark subdivision surface	Theorem	Numerical analysis
Dbar operator	Definition	Several complex variables and analytic spaces
Content	Concept	Measure and integration
Horvitz–Thompson estimator	Definition	Statistics
Caloric function	Concept	Partial differential equations
Algebra of sets	Concept	Measure and integration
Contraction semigroup	Definition	Operator theory
Modular function	Definition	Topological groups, Lie groups
Bruhat decomposition of a Lie group	Theorem	Topological groups, Lie groups
Antipode	Concept	Associative rings and algebras
Homotopy group	Definition	Algebraic topology
Amenable group	Definition	Abstract harmonic analysis
Kneser's theorem on solution sets	Theorem	Ordinary differential equations
Quasicircle	Definition	Functions of a complex variable
Mahlo cardinal	Definition	Mathematical logic and foundations
Absolute Galois group	Concept	Field theory and polynomials
Nörlund–Rice integral	Theorem	Difference and functional equations
MacCormack method	Concept	Numerical analysis
Universal Horn class	Definition	Mathematical logic and foundations
Christodoulou–Klainerman stability of Minkowski space	Theorem	Relativity and gravitational theory
Inverse Z-transform	Theorem	Integral transforms, operational calculus
Motzkin number	Definition	Combinatorics
Hopfian group	Concept	Group theory and generalizations
Regular conditional probability	Concept	Probability theory and stochastic processes
Bergman projection	Definition	Several complex variables and analytic spaces
Ax–Kochen theorem	Theorem	Field theory and polynomials
Measurable function	Definition	Measure and integration
Electrical network	Definition	Potential theory
Parametric transversality theorem	Theorem	Manifolds and cell complexes
Absorbing element	Concept	General algebraic systems
Lifting idempotents	Definition	Associative rings and algebras
M. Riesz theorem on the Hilbert transform	Theorem	Harmonic analysis on Euclidean spaces
Fractional Fourier transform	Definition	Harmonic analysis on Euclidean spaces
Short-time Fourier transform	Definition	Harmonic analysis on Euclidean spaces
Lie derivative	Concept	Differential geometry
Discrete spectrum	Concept	Operator theory
Harmonic functions on Riemannian manifolds	Concept	Potential theory
Hausdorff summation	Concept	Sequences, series, summability
Uniform polytope	Definition	Geometry
Similarity transformation	Definition	Geometry
Identity	Concept	General algebraic systems
Linear regression	Definition	Statistics
Mercer's theorem	Theorem	Integral equations
Semihereditary ring	Definition	Associative rings and algebras
Nielsen–Thurston classification	Theorem	Manifolds and cell complexes
Non-measurable set	Concept	Measure and integration
Bromwich justification of the Heaviside calculus	Definition	Integral transforms, operational calculus
Atiyah–Bott fixed-point theorem	Theorem	Global analysis, analysis on manifolds
Lauricella hypergeometric series	Definition	Special functions
Optimal experimental design	Concept	Statistics
Valuation on convex bodies	Definition	Convex and discrete geometry
Sub-Gaussian distribution	Definition	Probability theory and stochastic processes
Petersen's theorem	Theorem	Combinatorics
q-derivative	Concept	Combinatorics
Littlewood subordination theorem	Theorem	Functions of a complex variable
Crossed product algebra	Definition	Associative rings and algebras
Quasisymmetric map	Definition	Functions of a complex variable
Pentagonal number theorem	Theorem	Number theory
Normal complex space	Concept	Several complex variables and analytic spaces
Noetherian module	Definition	Commutative algebra
Airy equation	Example	Ordinary differential equations
k-means clustering	Definition	Statistics
Hopf surface	Example	Several complex variables and analytic spaces
Strongly minimal theory	Concept	Mathematical logic and foundations
Stratified sampling	Concept	Statistics
Hardy space	Concept	Functions of a complex variable
Liouville–Arnold theorem	Theorem	Dynamical systems and ergodic theory
Simson line	Concept	Geometry
Faithful module	Definition	Associative rings and algebras
Fredholm equation of the second kind	Definition	Integral equations
Slice knot	Definition	Manifolds and cell complexes
Positive definiteness of the energy	Theorem	Potential theory
Krull dimension of a noncommutative ring	Concept	Associative rings and algebras
Bayes estimator	Concept	Statistics
Butterfly effect	Definition	Dynamical systems and ergodic theory
Horocycle	Definition	Geometry
Computable set	Concept	Mathematical logic and foundations
Cole–Hopf transformation	Definition	Partial differential equations
Calderón–Zygmund kernel	Definition	Harmonic analysis on Euclidean spaces
Cauchy–Riemann operator	Concept	Several complex variables and analytic spaces
Reproducing kernel Hilbert space	Definition	Functional analysis
Quadratic transformations of hypergeometric functions	Theorem	Special functions
Field of extremals	Definition	Calculus of variations and optimal control; optimization
Dixon elliptic functions	Concept	Special functions
Real algebraic geometry	Concept	Algebraic geometry
Fredholm determinant	Concept	Integral equations
Hankel matrix	Concept	Linear and multilinear algebra; matrix theory
Calculus of variations	Concept	Calculus of variations and optimal control; optimization
Sheaf cohomology	Concept	Algebraic geometry
Symplectic vector space	Concept	Linear and multilinear algebra; matrix theory
Classical group	Definition	Group theory and generalizations
Kullback–Leibler divergence	Concept	Information and communication theory, circuits
Equivalence of Boolean rings and Boolean algebras	Theorem	Order, lattices, ordered algebraic structures
Natural boundary	Concept	Functions of a complex variable
Infinitary logic	Concept	Mathematical logic and foundations
von Neumann mean ergodic theorem	Theorem	Operator theory
Pro-object	Definition	Category theory; homological algebra
Binary quadratic form	Definition	Number theory
Measure	Concept	Measure and integration
Separation of variables	Definition	Ordinary differential equations
Playfair's axiom	Fact	Geometry
Riesz measure of a subharmonic function	Concept	Potential theory
U-statistic	Definition	Statistics
Biharmonic equation	Definition	Potential theory
Tian–Todorov theorem	Theorem	Several complex variables and analytic spaces
Stochastic partial differential equation	Concept	Probability theory and stochastic processes
Seiberg–Witten invariants	Concept	Manifolds and cell complexes
Subobject classifier	Definition	Category theory; homological algebra
Eta invariant	Concept	Global analysis, analysis on manifolds
Paratopological group	Definition	Topological groups, Lie groups
Alexander's theorem on closed braids	Theorem	Manifolds and cell complexes
Euler–Lagrange equation	Concept	Calculus of variations and optimal control; optimization
Vector measure	Concept	Measure and integration
Noncommutative geometry	Concept	Global analysis, analysis on manifolds
Basic open set	Definition	Algebraic geometry
Rudin–Shapiro polynomials	Example	Harmonic analysis on Euclidean spaces
Janko groups	Object	Group theory and generalizations
Von Neumann algebra	Concept	Functional analysis
Amoeba	Concept	Algebraic geometry