Nodes at W0, stub

A tag, a kind, a name, an inventory row, and a same_as or a source.

Ideas 4801–4950 of 12399.

Name	Kind	Subject
Presentation of an algebra	Definition	General algebraic systems
The subgroups of the symmetric group S4	Computation
Tarski's finite basis problem	Problem	General algebraic systems
Log-convexity of the gamma function	Theorem	Special functions
Condition number	Concept	Linear and multilinear algebra; matrix theory
Singular integral equation	Definition	Integral equations
Theorem of the three geodesics	Theorem	Differential geometry
Lie sphere geometry	Definition	Geometry
Standard Borel space	Concept	Measure and integration
Dunkl operator	Definition	Special functions
Quotient of a topological group	Definition	Topological groups, Lie groups
Cantor's isomorphism theorem	Theorem	Order, lattices, ordered algebraic structures
Choquet theory	Concept	Functional analysis
Atkinson's theorem	Theorem	Operator theory
Quasi-Monte Carlo method	Concept	Numerical analysis
Gluing of schemes	Concept	Algebraic geometry
Principal component analysis	Concept	Statistics
Smith conjecture	Theorem	Manifolds and cell complexes
Landau's constants	Concept	Functions of a complex variable
Kantorovich duality	Theorem	Calculus of variations and optimal control; optimization
Finite type algebra	Concept	Commutative algebra
Yamabe flow	Concept	Differential geometry
Multigrid method	Theorem	Numerical analysis
Summability kernel	Definition	Harmonic analysis on Euclidean spaces
GCD domain	Concept	Commutative algebra
Bogdanov–Takens bifurcation	Concept	Ordinary differential equations
Sinai's factor theorem	Theorem	Dynamical systems and ergodic theory
Weierstrass product	Concept	Functions of a complex variable
Pompeiu derivative	Example	Real functions
Polynomially convex set	Concept	Several complex variables and analytic spaces
Green–Griffiths–Lang conjecture	Conjecture	Several complex variables and analytic spaces
Linear multistep method	Definition	Numerical analysis
Toda lattice	Example	Dynamical systems and ergodic theory
Relative homotopy	Concept	Algebraic topology
Birkhoff polytope	Example	Convex and discrete geometry
Fredholm index	Definition	Operator theory
3-j symbol	Definition	Special functions
Distinguished triangle	Concept	Category theory; homological algebra
Tautological one-form	Concept	Differential geometry
Quadrature rule	Concept	Numerical analysis
Symmetric kernel	Concept	Integral equations
Quasicircle	Concept	Functions of a complex variable
Birkhoff interpolation	Definition	Approximations and expansions
Marcinkiewicz–Zygmund inequality	Theorem	Probability theory and stochastic processes
Signed measure	Definition	Measure and integration
Calderón–Zygmund theorem	Theorem	Harmonic analysis on Euclidean spaces
Right-angled Artin group	Definition	Group theory and generalizations
Direct and inverse theorems of approximation	Definition	Approximations and expansions
Identifiability	Definition	Statistics
Minimal surface of revolution	Problem	Calculus of variations and optimal control; optimization
Tempered distribution	Concept	Functional analysis
Baire function	Definition	Real functions
Semiconjugacy and factor map	Concept	Dynamical systems and ergodic theory
Perron method	Concept	Potential theory
Collectively compact operator approximation	Concept	Integral equations
Abelian and Tauberian theorems	Definition	Sequences, series, summability
Lifting scheme	Concept	Numerical analysis
Porous medium equation	Definition	Partial differential equations
Affine morphism	Concept	Algebraic geometry
Kepler conjecture	Theorem	Convex and discrete geometry
Product category	Concept	Category theory; homological algebra
Branched covering	Definition	Manifolds and cell complexes
Dirichlet energy	Definition	Potential theory
Gradient flow on a manifold	Concept	Dynamical systems and ergodic theory
Bochner–Riesz means	Concept	Harmonic analysis on Euclidean spaces
Conjugate gradient method	Theorem	Numerical analysis
Invariant basis number	Concept	Associative rings and algebras
Hilbert–Burch theorem	Theorem	Commutative algebra
Binet's formulas for the log-gamma function	Theorem	Special functions
Matrix difference equation	Definition	Difference and functional equations
Riesz–Thorin theorem	Theorem	Functional analysis
Khintchine inequality	Theorem	Probability theory and stochastic processes
Pontryagin class	Definition	Manifolds and cell complexes
Riesz mean	Concept	Sequences, series, summability
Łoś's theorem	Theorem	Mathematical logic and foundations
Knot sum	Concept	Manifolds and cell complexes
Morse index	Definition	Manifolds and cell complexes
Kneser's construction of real analytic tetration	Theorem	Difference and functional equations
Separable Banach space	Concept	Functional analysis
Generalized inverse	Definition	Linear and multilinear algebra; matrix theory
Quadric	Definition	Geometry
Graphon	Definition	Combinatorics
Semifield	Concept	Field theory and polynomials
Long exact sequence in homology	Theorem	Category theory; homological algebra
Morphism of finite type	Concept	Algebraic geometry
Locally compact group	Concept	Topological groups, Lie groups
Serre spectral sequence	Theorem	Algebraic topology
Huber loss	Definition	Statistics
Pseudoconvexity	Concept	Several complex variables and analytic spaces
Periodic sequence	Definition	Difference and functional equations
Milman–Pettis theorem	Theorem	Functional analysis
Spin(7)-manifold	Definition	Differential geometry
Eilenberg–MacLane space	Concept	Algebraic topology
Variety of algebras	Concept	General algebraic systems
Riemann–Liouville integral	Definition	Real functions
Noetherian module	Concept	Commutative algebra
Exact functor	Definition	Category theory; homological algebra
Infinite loop space	Definition	Algebraic topology
Bauer–Fike theorem	Theorem	Linear and multilinear algebra; matrix theory
Measurable cardinal	Concept	Mathematical logic and foundations
Rice's theorem	Theorem	Mathematical logic and foundations
Riemann P-symbol	Definition	Special functions
Quasivariety	Definition	General algebraic systems
Quaternion algebra	Definition	Associative rings and algebras
Symbol class	Concept	Partial differential equations
Simple Lie group	Concept	Topological groups, Lie groups
Voronoi diagram	Definition	Convex and discrete geometry
Steenrod reduced power	Definition	Algebraic topology
Exterior differential system	Definition	Global analysis, analysis on manifolds
Existence of best approximations from finite-dimensional subspaces	Theorem	Approximations and expansions
Sigma-compact space	Definition	General topology
Minimal sufficient statistic	Definition	Statistics
Domain decomposition methods	Concept	Numerical analysis
Dimension of an analytic set	Concept	Several complex variables and analytic spaces
Arnold diffusion	Definition	Dynamical systems and ergodic theory
Multiplicative set	Concept	Commutative algebra
Presheaf	Concept	Category theory; homological algebra
Quotient of a normed space	Definition	Functional analysis
Tensor product of fields	Concept	Field theory and polynomials
Dedekind's characterization of modular lattices	Theorem	Order, lattices, ordered algebraic structures
Lane–Emden equation	Concept	Partial differential equations
Handlebody	Concept	Manifolds and cell complexes
Quantum group	Concept	Associative rings and algebras
Eells–Sampson theorem	Theorem	Global analysis, analysis on manifolds
Semiring of sets	Definition	Measure and integration
Order dimension	Definition	Order, lattices, ordered algebraic structures
Jean Taylor's theorem on soap film singularities	Theorem	Calculus of variations and optimal control; optimization
Nakayama algebra	Concept	Associative rings and algebras
Algebraic Riccati equation	Definition	Linear and multilinear algebra; matrix theory
Atomic decomposition of Hardy spaces	Theorem	Harmonic analysis on Euclidean spaces
Isogeometric analysis	Concept	Numerical analysis
Superharmonic potential	Concept	Potential theory
Schramm–Loewner evolution	Concept	Probability theory and stochastic processes
Positive linear operator	Concept	Operator theory
Zero object	Concept	Category theory; homological algebra
Peak function	Definition	Several complex variables and analytic spaces
Pi-system	Definition	Measure and integration
Knot group	Concept	Manifolds and cell complexes
Word problem for free algebras of a variety	Problem	General algebraic systems
Leray–Schauder method	Definition	Operator theory
Simple homotopy equivalence	Concept	Manifolds and cell complexes
Near-ring	Concept	Associative rings and algebras
Subalgebra lattice	Definition	General algebraic systems
Mackey topology	Definition	Functional analysis
Generic matrix algebra	Definition	Associative rings and algebras
Möbius function of a poset	Definition	Order, lattices, ordered algebraic structures
Resolvent kernel	Concept	Integral equations
Arbitrary-precision arithmetic	Concept	Numerical analysis
Halmos–von Neumann theorem	Theorem	Dynamical systems and ergodic theory
Boolean matrix	Concept	Linear and multilinear algebra; matrix theory