Every idea

Ideas 5701–5850 of 14183.

Name	Kind	Subject
Path algebra	Definition	Associative rings and algebras
LF-space	Concept	Functional analysis
Budan's theorem	Theorem	Real functions
Distributive property	Definition	General algebraic systems
Supersolvable group	Definition	Group theory and generalizations
Cone	Concept	Category theory; homological algebra
Directed-complete partial order	Concept	Order, lattices, ordered algebraic structures
Weak Lp space	Definition	Functional analysis
Log-modulus of a holomorphic function is subharmonic	Proposition	Potential theory
Incomplete Cholesky factorization	Definition	Numerical analysis
Hadwiger's theorem	Theorem	Convex and discrete geometry
Kakutani fixed-point theorem	Theorem	Operator theory
Lebesgue constant	Concept	Approximations and expansions
Measure	Definition	Measure and integration
Symbolic power	Definition	Commutative algebra
Affine space as an algebra	Example	General algebraic systems
Bisection method	Theorem	Numerical analysis
Face of a convex set	Definition	Convex and discrete geometry
Irreducible analytic germ	Concept	Several complex variables and analytic spaces
Stably finite ring	Concept	Associative rings and algebras
Normed algebra	Definition	Functional analysis
Waring's problem	Problem	Number theory
Ring with involution	Concept	Associative rings and algebras
Superposition of solutions	Proposition	Difference and functional equations
Comodule	Concept	Associative rings and algebras
Mixed-type equation	Concept	Partial differential equations
Simple function	Concept	Measure and integration
Tame Fréchet space	Concept	Functional analysis
Saturated model	Definition	Mathematical logic and foundations
Sturm–Liouville theory	Concept	Ordinary differential equations
Parallelizable manifold	Concept	Manifolds and cell complexes
Interior algebra	Definition	Order, lattices, ordered algebraic structures
Decomposition group	Concept	Number theory
Quasilinear PDE	Concept	Partial differential equations
Method of characteristics	Concept	Partial differential equations
Dirichlet character	Concept	Number theory
Hopf algebra	Concept	Associative rings and algebras
Algebraic structure	Definition	General algebraic systems
Classifying space of a group	Definition	Algebraic topology
Comparison theorem	Theorem	Ordinary differential equations
Kervaire invariant	Definition	Algebraic topology
Hasse's theorem on elliptic curves	Theorem	Number theory
Adapted process	Definition	Probability theory and stochastic processes
Error function	Concept	Special functions
Locally ringed space	Definition	Algebraic geometry
Laplacian matrix	Definition	Combinatorics
Basis of a matroid	Definition	Combinatorics
Extraspecial group	Concept	Group theory and generalizations
Barrier	Definition	Potential theory
Topology optimization	Problem	Mechanics of deformable solids
Artin–Schreier theory	Concept	Field theory and polynomials
Tropical geometry	Concept	Algebraic geometry
Zernike polynomials	Concept	Special functions
Étale cohomology	Concept	Algebraic geometry
Matroid minor	Definition	Combinatorics
Maximal subfield	Definition	Associative rings and algebras
Noether normalization lemma	Theorem	Commutative algebra
Zonoid	Definition	Convex and discrete geometry
FBI transform	Definition	Partial differential equations
Out(F_n)	Object	Group theory and generalizations
Transformation semigroup	Concept	Group theory and generalizations
Ramanujan tau function	Definition	Number theory
Jet bundle	Definition	Global analysis, analysis on manifolds
Splitting lemma	Lemma	Category theory; homological algebra
Word problem for an algebra	Problem	General algebraic systems
Sunada's theorem	Theorem	Global analysis, analysis on manifolds
Bishop's theorem on analytic sets	Theorem	Several complex variables and analytic spaces
Flat module	Definition	Commutative algebra
Mazur's lemma	Lemma	Functional analysis
Hyperbolic law of cosines	Theorem	Geometry
Sine-Gordon equation	Concept	Partial differential equations
Operational calculus	Concept	Integral transforms, operational calculus
Pure weights	Definition	Number theory
Score test	Definition	Statistics
Hyperboloid model	Example	Geometry
Moore family	Concept	Order, lattices, ordered algebraic structures
Levi form	Concept	Several complex variables and analytic spaces
Invariant set	Definition	Ordinary differential equations
Hilbert's third problem	Problem	Convex and discrete geometry
Hauptvermutung	Problem	Manifolds and cell complexes
Euler's integral representation of the hypergeometric function	Theorem	Special functions
Hard Lefschetz theorem	Theorem	Algebraic geometry
Donsker's theorem	Theorem	Probability theory and stochastic processes
Weierstrass transform	Definition	Integral transforms, operational calculus
Riemann–Liouville fractional integral equation	Example	Integral equations
Subnormal operator	Concept	Operator theory
Euler summation	Concept	Sequences, series, summability
Weil conjectures	Theorem	Algebraic geometry
Identity	Definition	General algebraic systems
Gelfand transform	Definition	Functional analysis
Kolmogorov's normability criterion	Theorem	Functional analysis
Arithmetic geometry	Concept	Algebraic geometry
Wave front of a Legendrian map	Concept	Differential geometry
Triangle center	Definition	Geometry
Envelope	Concept	Differential geometry
Levin-type transformations	Definition	Numerical analysis
Sublattice	Definition	Order, lattices, ordered algebraic structures
Bishop–Gromov inequality	Theorem	Differential geometry
Følner condition	Concept	Abstract harmonic analysis
Mikusiński field of operators	Concept	Integral transforms, operational calculus
Moser's trick	Theorem	Differential geometry
Chern–Weil homomorphism	Concept	Differential geometry
Brill–Noether theory	Concept	Algebraic geometry
Möbius plane	Definition	Geometry
Reduced complex space	Concept	Several complex variables and analytic spaces
Regular open set	Concept	General topology
Kingman's subadditive ergodic theorem	Theorem	Dynamical systems and ergodic theory
Riesz kernel energy	Concept	Potential theory
Down-closure	Concept	Order, lattices, ordered algebraic structures
Fuzzy measure	Definition	Measure and integration
Poincaré–Lindstedt method	Definition	Ordinary differential equations
Domino tiling	Concept	Combinatorics
Basic hypergeometric series	Definition	Special functions
Euclid's Elements	Object	History and biography
Cotton tensor	Definition	Differential geometry
Turing jump	Definition	Mathematical logic and foundations
Quasi-ergodicity	Definition	Dynamical systems and ergodic theory
Counterexample to the Markus–Yamabe conjecture	Counterexample	Ordinary differential equations
Multivariate analysis of variance	Definition	Statistics
Sparse grid	Concept	Numerical analysis
p-adic gamma function	Concept	Number theory
Spline	Concept	Approximations and expansions
Reduced product	Definition	General algebraic systems
Divisibility poset	Example	Order, lattices, ordered algebraic structures
Nichols–Zoeller theorem	Theorem	Associative rings and algebras
Morphism	Concept	Category theory; homological algebra
Injective module	Concept	Commutative algebra
Lax–Milgram theorem	Theorem	Partial differential equations
Siegel modular form	Definition	Number theory
Poincaré disk model	Object	Geometry
Hermite functions	Definition	Special functions
Homogeneous space	Concept	Algebraic geometry
Unitization	Definition	Functional analysis
Ring of convergent power series	Definition	Several complex variables and analytic spaces
Classifying topos	Concept	Category theory; homological algebra
Abstract data type as an algebra	Concept	Computer science
Single layer potential	Definition	Potential theory
Chebyshev series	Definition	Approximations and expansions
Reduction of an initial value problem to a Volterra equation	Proposition	Integral equations
Adjoint of an unbounded operator	Concept	Operator theory
F-space	Concept	Functional analysis
Coercive bilinear form	Concept	Operator theory
Reduced function	Definition	Potential theory
Gradient flow on a manifold	Definition	Dynamical systems and ergodic theory
Elliptic complex	Definition	Global analysis, analysis on manifolds
f-vector	Concept	Convex and discrete geometry
Tricolorability	Definition	Manifolds and cell complexes
Polytope combinatorics	Concept	Convex and discrete geometry
Hyperkähler manifold	Concept	Differential geometry
Heun function	Concept	Special functions