Every idea

Ideas 10651–10800 of 14183.

Name	Kind	Subject
Hyperfinite type II1 factor	Object	Functional analysis
Friedrichs extension	Definition	Operator theory
Flux limiter	Concept	Numerical analysis
Versal unfolding	Definition	Global analysis, analysis on manifolds
Synchronization of chaos	Definition	Ordinary differential equations
Matrix congruence	Definition	Linear and multilinear algebra; matrix theory
Symplectic integrator	Definition	Numerical analysis
Coupling from the past	Concept	Numerical analysis
Unique ergodicity	Concept	Dynamical systems and ergodic theory
Abelian differential	Concept	Functions of a complex variable
Jacobi elliptic functions	Concept	Special functions
Gaussian measure	Concept	Measure and integration
Absolutely continuous measure	Concept	Measure and integration
Schwarz reflection principle	Theorem	Functions of a complex variable
Coalgebra	Definition	Associative rings and algebras
Indirect method by shooting	Definition	Calculus of variations and optimal control; optimization
Hölder space	Concept	Functional analysis
Generalized least squares	Concept	Statistics
Harnack's principle	Theorem	Potential theory
Measure space	Concept	Measure and integration
Character table	Concept	Group theory and generalizations
Higher-order logic	Concept	Mathematical logic and foundations
LOBPCG	Proposition	Numerical analysis
Bicubic interpolation	Concept	Numerical analysis
Maurer–Cartan form	Concept	Topological groups, Lie groups
Projective transformation	Concept	Geometry
Hilbert's program	Problem	Mathematical logic and foundations
Sinc function	Concept	Special functions
G2 manifold	Concept	Differential geometry
Fractional integration	Concept	Harmonic analysis on Euclidean spaces
Harmonic functions on Riemann surfaces	Concept	Functions of a complex variable
Admissibility condition for wavelets	Definition	Harmonic analysis on Euclidean spaces
Additive combinatorics	Definition	Number theory
Linearly ordered group	Concept	Order, lattices, ordered algebraic structures
Nerve of a cover	Definition	Algebraic topology
Splitting field of a central simple algebra	Definition	Associative rings and algebras
Operator monotone function	Definition	Operator theory
Propagation of singularities	Theorem	Partial differential equations
Feit–Higman theorem	Theorem	Geometry
Baire space of sequences	Object	General topology
Pseudo algebraically closed field	Definition	Field theory and polynomials
Strict total order	Concept	Order, lattices, ordered algebraic structures
Least squares approximation	Definition	Approximations and expansions
Resolvent kernel	Definition	Integral equations
Elementary equivalence	Concept	Mathematical logic and foundations
Discrete wavelet transform	Concept	Harmonic analysis on Euclidean spaces
(p,q)-form	Definition	Several complex variables and analytic spaces
Moments of the log-normal distribution	Counterexample	Integral transforms, operational calculus
Band-limited function	Concept	Information and communication theory, circuits
Strict hyperbolicity	Concept	Partial differential equations
Autoregressive conditional heteroskedasticity	Definition	Statistics
Lie's theorems on transformation groups	Theorem	Topological groups, Lie groups
Spherical mean transform	Concept	Integral transforms, operational calculus
Empirical risk minimization	Definition	Computer science
Vector bundle	Concept	Algebraic geometry
Hankel operator	Concept	Operator theory
Tensor algebra	Concept	Linear and multilinear algebra; matrix theory
Surface	Definition	Manifolds and cell complexes
Burgers' equation	Definition	Partial differential equations
Hilbert manifold	Definition	Global analysis, analysis on manifolds
Kervaire invariant	Concept	Algebraic topology
Zassenhaus neighbourhood	Definition	Topological groups, Lie groups
Mahalanobis distance	Concept	Statistics
Singular function	Concept	Real functions
Mellin convolution	Definition	Integral transforms, operational calculus
Moufang plane	Definition	Geometry
Complete atomic Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Turing degree	Concept	Mathematical logic and foundations
Queueing theory	Concept	Probability theory and stochastic processes
Topological group	Definition	Topological groups, Lie groups
Slice knot	Concept	Manifolds and cell complexes
Chain complex	Definition	Category theory; homological algebra
Local solvability	Concept	Partial differential equations
Equicontinuous system	Definition	Dynamical systems and ergodic theory
Wirtinger presentation	Theorem	Manifolds and cell complexes
Racah polynomials	Concept	Special functions
Weak topology	Concept	Functional analysis
Algebraic K-theory of schemes	Definition	K-theory
Grothendieck–Lefschetz trace formula	Theorem	Algebraic geometry
Lie's third theorem	Theorem	Topological groups, Lie groups
Margulis lemma	Theorem	Differential geometry
Adjoint representation of a Lie group	Concept	Topological groups, Lie groups
Smooth four-dimensional Poincaré conjecture	Conjecture	Manifolds and cell complexes
Characterizations of Galois extensions	Theorem	Field theory and polynomials
Higman embedding theorem	Theorem	Group theory and generalizations
Group law on an elliptic curve	Concept	Algebraic geometry
Isotonic regression	Definition	Statistics
Parallel transport	Definition	Differential geometry
Train track	Definition	Manifolds and cell complexes
Cartan–Eilenberg resolution	Definition	Category theory; homological algebra
Pitchfork bifurcation	Concept	Ordinary differential equations
Uniform structure of a topological group	Concept	Topological groups, Lie groups
Jentzsch's theorem on positive kernels	Theorem	Integral equations
Littlewood conjecture	Conjecture	Number theory
Differential graded algebra	Definition	Associative rings and algebras
Octahedral axiom	Concept	Category theory; homological algebra
Lorentz's characterization of almost convergence	Theorem	Sequences, series, summability
Local homomorphism	Concept	Commutative algebra
Hilbert metric	Concept	Geometry
Kadomtsev–Petviashvili equation	Concept	Partial differential equations
Positive operator	Definition	Operator theory
Bayesian hierarchical model	Concept	Statistics
Nilpotent operator	Definition	Operator theory
Homotopy group	Concept	Algebraic topology
Sphere	Concept	Geometry
Hypercube	Example	Convex and discrete geometry
Thom–Mather stratified space	Concept	Global analysis, analysis on manifolds
Group homology	Definition	Group theory and generalizations
Thin plate spline	Concept	Approximations and expansions
S-finite measure	Concept	Measure and integration
Round-off error	Definition	Numerical analysis
Developable surface	Definition	Differential geometry
Turing reduction	Concept	Mathematical logic and foundations
Mean curvature	Concept	Differential geometry
Inverse Mellin transform	Definition	Integral transforms, operational calculus
Löwner's theorem	Theorem	Operator theory
Symmetric space	Concept	Differential geometry
Chern class	Concept	Algebraic geometry
Tucker's lemma	Lemma	Combinatorics
Grauert's theorem on real analytic manifolds	Theorem	Several complex variables and analytic spaces
Laplace–Beltrami operator	Definition	Global analysis, analysis on manifolds
Symmetric function	Concept	Combinatorics
Combinatorial design	Concept	Combinatorics
Contingency table	Concept	Statistics
Frobenius reciprocity	Theorem	Group theory and generalizations
Natural deduction	Definition	Mathematical logic and foundations
Minkowski functional	Concept	Functional analysis
Double series	Concept	Sequences, series, summability
Intrinsic volume	Definition	Convex and discrete geometry
Motzkin number	Concept	Combinatorics
Serre fibration	Concept	Algebraic topology
Pseudo-element	Definition	Category theory; homological algebra
Haar system	Definition	Harmonic analysis on Euclidean spaces
Symmetric algebra	Concept	Linear and multilinear algebra; matrix theory
Word problem for groups	Problem	Group theory and generalizations
Fractional factorial design	Concept	Statistics
Muirhead's inequality	Theorem	Real functions
Discrete spectrum	Definition	Operator theory
F-distribution	Concept	Statistics
Simple polytope	Definition	Convex and discrete geometry
Choquet theory	Definition	Functional analysis
Well-quasi-ordering	Definition	Order, lattices, ordered algebraic structures
Recurrence and transience of states	Concept	Probability theory and stochastic processes
Comma category	Concept	Category theory; homological algebra
Bessel's integral	Proposition	Special functions
Derived category	Definition	Category theory; homological algebra
Multiplicative set	Definition	Commutative algebra
Skew group ring	Concept	Associative rings and algebras
Sierpiński carpet	Example	General topology
Inverse problem	Concept	Partial differential equations