Every idea

Ideas 10051–10200 of 14183.

Name	Kind	Subject
Convergence tests	Definition	Sequences, series, summability
Schläfli symbol	Concept	Geometry
Uniform convergence of series	Concept	Sequences, series, summability
First fundamental form	Concept	Differential geometry
Laplace transform on a convex cone	Concept	Integral transforms, operational calculus
Coordinatization of projective planes	Theorem	Geometry
Polynomial function	Definition	Real functions
Saddle-node bifurcation	Concept	Ordinary differential equations
Additive energy	Concept	Number theory
Lyapunov–Schmidt reduction	Concept	Operator theory
Morse index	Concept	Manifolds and cell complexes
Krull dimension of a noncommutative ring	Definition	Associative rings and algebras
Resolution of singularities	Theorem	Algebraic geometry
Hamiltonian path	Concept	Combinatorics
Penrose tiling	Example	Convex and discrete geometry
Duality of Lp spaces	Theorem	Functional analysis
Shift operator	Concept	Difference and functional equations
Rng	Concept	Associative rings and algebras
Łojasiewicz inequality	Theorem	Several complex variables and analytic spaces
Index theory	Definition	Global analysis, analysis on manifolds
q-Vandermonde identity	Theorem	Special functions
Galois connection	Definition	Order, lattices, ordered algebraic structures
Weak convergence of measures	Concept	Probability theory and stochastic processes
Relational clone	Concept	General algebraic systems
Kleinian group	Definition	Functions of a complex variable
Gibbs measure	Definition	Dynamical systems and ergodic theory
Banach–Lie group	Concept	Topological groups, Lie groups
Chebyshev functions	Definition	Number theory
Discriminator variety	Concept	General algebraic systems
Cesàro means of Fourier series	Definition	Harmonic analysis on Euclidean spaces
Linear continuum	Definition	General topology
Finite geometry	Concept	Geometry
Category	Definition	Category theory; homological algebra
Unknotting number	Definition	Manifolds and cell complexes
Complete atomic Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Iterated function	Definition	Dynamical systems and ergodic theory
Torus knot	Definition	Manifolds and cell complexes
Crystalline cohomology	Definition	Algebraic geometry
Harmonic map heat flow	Concept	Global analysis, analysis on manifolds
Local homeomorphism	Concept	General topology
Proper group action	Concept	General topology
Grötzsch's theorem	Theorem	Combinatorics
Padé table	Concept	Approximations and expansions
Flat morphism	Definition	Algebraic geometry
Goldie's theorem	Theorem	Associative rings and algebras
Gelfand–Kirillov dimension	Concept	Associative rings and algebras
Cauchy's power equation	Concept	Difference and functional equations
Raghunathan's conjecture	Theorem	Dynamical systems and ergodic theory
Commutative magma	Definition	Group theory and generalizations
Prime ideal theorem for distributive lattices	Theorem	Order, lattices, ordered algebraic structures
Congruence-modular variety	Definition	General algebraic systems
Elementary class	Concept	Mathematical logic and foundations
Markov chain Monte Carlo	Definition	Numerical analysis
Suslin line	Object	Mathematical logic and foundations
Urysohn space	Concept	General topology
Nonnegative matrix	Definition	Linear and multilinear algebra; matrix theory
Group extension	Concept	Group theory and generalizations
Nested intervals theorem	Theorem	Real functions
Compactness of integral operators	Theorem	Integral equations
Projective algebra	Definition	General algebraic systems
Multicategory	Concept	Category theory; homological algebra
Configuration	Definition	Combinatorics
Volterra equations with completely monotone kernels	Concept	Integral equations
Gödel numbering	Concept	Mathematical logic and foundations
Regular variation	Concept	Real functions
Rarefaction wave	Concept	Partial differential equations
Strong perfect graph theorem	Theorem	Combinatorics
Difference set	Concept	Combinatorics
Borel fixed-point theorem	Theorem	Group theory and generalizations
Binomial proportion confidence interval	Concept	Statistics
Space of bounded continuous functions	Concept	Functional analysis
Bernstein–Gelfand–Ponomarev reflection functors	Concept	Associative rings and algebras
Hermite polynomials	Object	Special functions
Cauchy-type integral	Concept	Functions of a complex variable
Lindenbaum–Tarski algebra	Definition	Mathematical logic and foundations
Alexander–Spanier cohomology	Concept	Algebraic topology
Discrete valuation ring	Concept	Commutative algebra
Nondegenerate critical point	Concept	Manifolds and cell complexes
Selberg sieve	Definition	Number theory
Dirichlet form	Concept	Potential theory
Simplex algorithm	Concept	Operations research, mathematical programming
Boltzmann equation	Concept	Partial differential equations
Morse inequalities	Theorem	Manifolds and cell complexes
Filtered back-projection	Definition	Integral transforms, operational calculus
Chain map	Definition	Category theory; homological algebra
Predictor–corrector method	Proposition	Numerical analysis
Link of a singularity	Definition	Several complex variables and analytic spaces
Surgery theory	Concept	Manifolds and cell complexes
Loop space	Definition	Algebraic topology
Shift operator as an exponential of differentiation	Proposition	Integral transforms, operational calculus
Birkhoff–Kakutani theorem	Theorem	Topological groups, Lie groups
Bochner integral	Concept	Measure and integration
Hankel operator	Definition	Operator theory
Casus irreducibilis	Theorem	Field theory and polynomials
Tight and overtwisted contact structures	Definition	Manifolds and cell complexes
I-adic topology	Definition	Commutative algebra
Relational structure	Concept	General algebraic systems
Ekeland's variational principle	Theorem	Global analysis, analysis on manifolds
Theorem of the cube	Theorem	Algebraic geometry
Stone–Čech compactification	Definition	General topology
Fourier–Motzkin elimination	Concept	Operations research, mathematical programming
Carlson symmetric forms	Concept	Special functions
Dickey–Fuller test	Definition	Statistics
Backward difference operator	Concept	Difference and functional equations
Poisson boundary	Definition	Probability theory and stochastic processes
Optimal experimental design	Definition	Statistics
Aubin–Lions lemma	Lemma	Functional analysis
Orientation of a manifold	Definition	Manifolds and cell complexes
Kolmogorov quotient	Concept	General topology
Metropolis–Hastings algorithm	Concept	Numerical analysis
Inductive dimension	Concept	General topology
Exceptional Lie group E8	Example	Topological groups, Lie groups
Unification	Definition	Computer science
Moving-average model	Definition	Statistics
Borel functional calculus	Definition	Operator theory
Unitary operator	Concept	Operator theory
Cohn localization	Definition	Associative rings and algebras
Linear continuum	Concept	General topology
Numerical diffusion	Definition	Numerical analysis
Nilpotent ideal	Definition	Associative rings and algebras
Rarefaction wave	Definition	Partial differential equations
Schwarz triangle function	Definition	Special functions
Kovacic's algorithm	Definition	Ordinary differential equations
Danzer set	Problem	Convex and discrete geometry
Density of the graph of a discontinuous additive function	Proposition	Difference and functional equations
Blaschke–Santaló inequality	Theorem	Convex and discrete geometry
Tightness of measures	Concept	Probability theory and stochastic processes
Group algebra	Concept	Group theory and generalizations
Large deviations theory	Definition	Probability theory and stochastic processes
Rössler attractor	Example	Ordinary differential equations
Fundamental theorem of the calculus of finite differences	Theorem	Difference and functional equations
Simpson's rule	Concept	Numerical analysis
Helmholtz equation	Concept	Partial differential equations
Cluster analysis	Definition	Statistics
Trigonometric series	Definition	Harmonic analysis on Euclidean spaces
Group isomorphism problem	Problem	Group theory and generalizations
Galois group of a finite field extension	Theorem	Field theory and polynomials
Weinstein conjecture	Conjecture	Differential geometry
Percolation threshold	Concept	Probability theory and stochastic processes
Function approximation	Definition	Approximations and expansions
Picard's criterion for first-kind equations	Theorem	Integral equations
Conservative system	Concept	Dynamical systems and ergodic theory
Hyperbolic set	Concept	Dynamical systems and ergodic theory
Autoregressive conditional heteroskedasticity	Concept	Statistics
Cartan–Serre finiteness theorem	Theorem	Several complex variables and analytic spaces
Height of a poset	Concept	Order, lattices, ordered algebraic structures
Oscillatory solution of a difference equation	Definition	Difference and functional equations
Perron method	Definition	Potential theory
Pólya enumeration theorem	Theorem	Combinatorics
Simple Lie group	Definition	Topological groups, Lie groups