Every idea

Ideas 6301–6450 of 14183.

Name	Kind	Subject
Bihari–LaSalle inequality	Lemma	Real functions
Distinguished triangle	Definition	Category theory; homological algebra
Banach algebra	Concept	Functional analysis
Kernel of an integral transform	Concept	Integral transforms, operational calculus
Minkowski's first inequality	Theorem	Convex and discrete geometry
Nuclear C*-algebra	Definition	Functional analysis
Fishburn's theorem on interval orders	Theorem	Order, lattices, ordered algebraic structures
Galois cohomology	Concept	Field theory and polynomials
Autoregressive integrated moving average	Definition	Statistics
Frobenius algebra	Definition	Associative rings and algebras
Jackson kernel	Concept	Harmonic analysis on Euclidean spaces
Nilpotence theorem	Theorem	Algebraic topology
Blaschke product	Concept	Functions of a complex variable
Cooley–Tukey FFT algorithm	Theorem	Numerical analysis
Condensed set	Concept	Category theory; homological algebra
Proximal operator	Definition	Operations research, mathematical programming
Natural boundary condition	Definition	Calculus of variations and optimal control; optimization
Kalman rank condition	Theorem	Systems theory; control
Hadamard's inequality in Fredholm theory	Lemma	Integral equations
Leavitt path algebra	Concept	Associative rings and algebras
Euler–Maclaurin formula	Theorem	Numerical analysis
Profunctor	Definition	Category theory; homological algebra
Anger function	Concept	Special functions
Exponential type	Concept	Functions of a complex variable
Cartan's classification of symmetric spaces	Theorem	Differential geometry
Elimination theory	Concept	Commutative algebra
Quadratic convergence of Newton's method	Theorem	Numerical analysis
Lattès map	Example	Dynamical systems and ergodic theory
Potential theory	Concept	Potential theory
Mixed volume	Definition	Convex and discrete geometry
Cauchy–Riemann equations in several variables	Concept	Several complex variables and analytic spaces
Riemann solver	Definition	Numerical analysis
Harmonic function on a ball	Example	Potential theory
Discrete-time algebraic Riccati equation	Definition	Linear and multilinear algebra; matrix theory
Equational basis	Concept	General algebraic systems
Kolmogorov–Nagumo characterization of quasi-arithmetic means	Theorem	Real functions
Napoleon's theorem	Theorem	Geometry
Iterated kernel	Concept	Integral equations
Field with one element	Concept	Algebraic geometry
Nemytskii operator	Definition	Operator theory
Erlangen program	Concept	Geometry
Overdetermined system	Definition	Linear and multilinear algebra; matrix theory
Injective object	Definition	Category theory; homological algebra
Polycyclic group	Concept	Group theory and generalizations
Paraproduct	Concept	Harmonic analysis on Euclidean spaces
Cyclic homology	Definition	Associative rings and algebras
Borel–Kolmogorov paradox	Counterexample	Probability theory and stochastic processes
Łoś–Tarski preservation theorem	Theorem	Mathematical logic and foundations
Jacobi transform	Definition	Integral transforms, operational calculus
Lattice of partitions	Example	Order, lattices, ordered algebraic structures
Wilcoxon signed-rank test	Definition	Statistics
Deligne–Lusztig theory	Definition	Group theory and generalizations
Contact process	Example	Probability theory and stochastic processes
Subfactor	Concept	Functional analysis
Uniqueness of best approximation in strictly convex spaces	Theorem	Approximations and expansions
Brelot space	Definition	Potential theory
Topological semigroup	Definition	Topological groups, Lie groups
Equivalence of varieties	Concept	General algebraic systems
Almost complex manifold	Concept	Differential geometry
Response surface methodology	Definition	Statistics
Entropic algebra	Concept	General algebraic systems
Single layer potential	Concept	Potential theory
Liouville's theorem on phase-space volume	Theorem	Dynamical systems and ergodic theory
Non-uniform rational B-spline	Definition	Numerical analysis
Compact Lie group	Concept	Topological groups, Lie groups
Schmidt subspace theorem	Theorem	Number theory
Positive line bundle	Definition	Several complex variables and analytic spaces
Handle decomposition	Concept	Manifolds and cell complexes
Seifert fiber space	Concept	Manifolds and cell complexes
Shifted Legendre polynomials	Concept	Special functions
Neighborly polytope	Concept	Convex and discrete geometry
Representation theory of SU(2)	Example	Topological groups, Lie groups
Type	Concept	Mathematical logic and foundations
Spectral radius	Concept	Linear and multilinear algebra; matrix theory
Category of elements	Definition	Category theory; homological algebra
Matrix difference equation	Concept	Difference and functional equations
Approximate identity	Definition	Functional analysis
Algebraic cycle	Concept	Algebraic geometry
Symmetric derivative	Definition	Real functions
Symmetric space	Definition	Differential geometry
Constructive analysis	Definition	Mathematical logic and foundations
Sheafification	Definition	Category theory; homological algebra
Poincaré duality	Theorem	Algebraic topology
Z-group	Concept	Group theory and generalizations
Commuting probability	Definition	Group theory and generalizations
Pariah groups	Definition	Group theory and generalizations
Newton polynomial	Concept	Numerical analysis
Tammes problem	Problem	Convex and discrete geometry
Strange attractor	Concept	Dynamical systems and ergodic theory
Bromwich integral	Definition	Integral transforms, operational calculus
Logarithmic capacity	Definition	Potential theory
Deduction theorem	Theorem	Mathematical logic and foundations
Graded manifold	Definition	Global analysis, analysis on manifolds
Bernstein's theorem on analytic functions	Theorem	Approximations and expansions
Elementary embedding	Definition	Mathematical logic and foundations
Pfaff–Saalschütz theorem	Theorem	Special functions
Holomorphic functional calculus	Definition	Operator theory
Shape derivative	Concept	Calculus of variations and optimal control; optimization
Maximum principle for subharmonic functions	Theorem	Potential theory
Grothendieck construction	Definition	Category theory; homological algebra
Fundamental solution of the Laplacian	Definition	Partial differential equations
Homotopy category of chain complexes	Concept	Category theory; homological algebra
Homotopy	Concept	Algebraic topology
Space of functions of bounded variation	Concept	Real functions
Gromov–Witten invariant	Definition	Algebraic geometry
Hermite interpolation	Concept	Approximations and expansions
Difference kernel	Definition	Integral equations
Herglotz representation theorem	Theorem	Potential theory
Artinian reduced rings are semisimple	Proposition	Associative rings and algebras
Euler equations	Definition	Partial differential equations
Secant method	Theorem	Numerical analysis
Nash–Moser theorem	Theorem	Global analysis, analysis on manifolds
Poisson–Jensen formula	Theorem	Potential theory
Kolmogorov epsilon-entropy	Definition	Approximations and expansions
Product measure	Definition	Measure and integration
Critical point theory	Concept	Global analysis, analysis on manifolds
Differential inclusion	Concept	Ordinary differential equations
Subharmonic function	Definition	Potential theory
Moore family	Definition	Order, lattices, ordered algebraic structures
Combinatorial Nullstellensatz	Theorem	Combinatorics
Lifting scheme	Definition	Numerical analysis
Variance reduction	Concept	Numerical analysis
Metropolis–Hastings algorithm	Definition	Numerical analysis
Empirical distribution function	Concept	Statistics
Coalgebra	Concept	Associative rings and algebras
General linear model	Concept	Statistics
Hausdorff measure	Definition	Measure and integration
Max-plus algebra	Definition	Linear and multilinear algebra; matrix theory
Poisson's equation	Definition	Partial differential equations
Polymorphism of a relation	Concept	General algebraic systems
Calderón–Vaillancourt theorem	Theorem	Partial differential equations
Partially ordered ring	Definition	Order, lattices, ordered algebraic structures
Landen's transformation	Theorem	Special functions
Rigid monoidal category	Concept	Category theory; homological algebra
Hodge theorem	Theorem	Global analysis, analysis on manifolds
Riemann domain over C^n	Concept	Several complex variables and analytic spaces
Graph theory	Concept	Combinatorics
Nonlinear regression	Definition	Statistics
Bruhat order	Example	Group theory and generalizations
Orthogonal polynomials	Definition	Harmonic analysis on Euclidean spaces
Satellite knot	Concept	Manifolds and cell complexes
Spectral theorem for compact self-adjoint operators	Theorem	Operator theory
Conjugate function	Concept	Harmonic analysis on Euclidean spaces
Variational capacity	Concept	Potential theory
Polymorphism of a relation	Definition	General algebraic systems
Courant–Fischer characterization of characteristic values	Theorem	Integral equations
Fourier transform as Laplace transform on the imaginary axis	Definition	Integral transforms, operational calculus
Shift space	Concept	Dynamical systems and ergodic theory
Subderivative	Definition	Real functions
Category	Concept	Category theory; homological algebra