Every idea

Ideas 12601–12750 of 14167.

Name	Kind	Subject
Reductive group	Definition	Group theory and generalizations
Absolute geometry	Concept	Geometry
Submanifold	Concept	Global analysis, analysis on manifolds
Volterra integral equation	Definition	Integral equations
Deformation of complex structure	Concept	Several complex variables and analytic spaces
Azumaya algebra	Concept	Associative rings and algebras
Ridders' method	Proposition	Numerical analysis
Condenser capacity	Definition	Potential theory
Closed operator	Concept	Operator theory
Pesin theory	Definition	Dynamical systems and ergodic theory
Complex analytic variety	Definition	Several complex variables and analytic spaces
Gibbs phenomenon	Concept	Harmonic analysis on Euclidean spaces
Thom–Mather stratified space	Definition	Global analysis, analysis on manifolds
Laman graph	Definition	Convex and discrete geometry
Exposed point	Concept	Convex and discrete geometry
Heat equation	Definition	Partial differential equations
Irreducible representation	Definition	Group theory and generalizations
Fuchsian group	Concept	Group theory and generalizations
Horseshoe lemma	Lemma	Category theory; homological algebra
Linear programming	Concept	Operations research, mathematical programming
Nyström method	Theorem	Numerical analysis
Densely defined operator	Definition	Operator theory
Extreme point	Definition	Functional analysis
Wandering set	Concept	Dynamical systems and ergodic theory
Function approximation	Concept	Approximations and expansions
Algebraic stack	Concept	Algebraic geometry
Conjugate points	Definition	Differential geometry
Reinhardt domain	Definition	Several complex variables and analytic spaces
Algebraic stack	Definition	Algebraic geometry
Heat equation	Concept	Partial differential equations
Bernstein–Kushnirenko theorem	Theorem	Algebraic geometry
Romberg's method	Concept	Numerical analysis
Moduli space of instantons	Object	Global analysis, analysis on manifolds
Logarithmic integral	Concept	Special functions
Kriging	Concept	Statistics
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Pexider equation	Definition	Difference and functional equations
Associated Legendre polynomials	Concept	Special functions
Positive-definite function	Definition	Harmonic analysis on Euclidean spaces
Control variates	Theorem	Numerical analysis
Proj construction	Definition	Algebraic geometry
Geometric integrator	Concept	Dynamical systems and ergodic theory
Annihilator	Definition	Commutative algebra
Line segment	Concept	Convex and discrete geometry
Torsion-free group	Definition	Group theory and generalizations
Cusp catastrophe	Example	Global analysis, analysis on manifolds
Slice theorem	Theorem	Manifolds and cell complexes
Twenty-seven lines on a cubic surface	Theorem	Algebraic geometry
Chow–Rashevskii theorem	Theorem	Systems theory; control
Null set	Concept	Measure and integration
Kolmogorov–Arnold representation theorem	Theorem	Real functions
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Operator Cauchy equation and one-parameter semigroups	Theorem	Operator theory
Lie pseudogroup	Definition	Global analysis, analysis on manifolds
Askey scheme	Definition	Special functions
Periodic solution	Definition	Ordinary differential equations
Uniform integrability	Concept	Measure and integration
Sheaf cohomology in topology	Definition	Algebraic topology
Complete elliptic integral of the second kind	Concept	Special functions
Elliptic surface	Concept	Algebraic geometry
Modified Bessel functions	Definition	Special functions
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Transfinite diameter	Concept	Potential theory
Interval order	Concept	Order, lattices, ordered algebraic structures
Numerical differentiation	Definition	Numerical analysis
Sine and cosine addition equations	Definition	Difference and functional equations
Polish space	Definition	General topology
Entourage	Definition	General topology
Jónsson's lemma	Theorem	General algebraic systems
Braided monoidal category	Concept	Category theory; homological algebra
Grunsky matrix	Definition	Functions of a complex variable
Normalization	Definition	Algebraic geometry
Cantor algebra	Example	Order, lattices, ordered algebraic structures
Tensor algebra	Definition	Linear and multilinear algebra; matrix theory
Isolated hypersurface singularity	Concept	Several complex variables and analytic spaces
Schröder's equation	Concept	Difference and functional equations
Kodaira–Nirenberg–Spencer existence theorem	Theorem	Several complex variables and analytic spaces
Limit	Definition	Category theory; homological algebra
Character sum	Concept	Number theory
Empirical process	Definition	Probability theory and stochastic processes
q-binomial theorem	Theorem	Special functions
Tricomi confluent hypergeometric function	Definition	Special functions
Amitsur's theorem on the radical of polynomial rings	Theorem	Associative rings and algebras
Perfect field	Concept	Field theory and polynomials
Exponential type	Definition	Functions of a complex variable
Convenient vector space	Definition	Functional analysis
Binomial proportion confidence interval	Definition	Statistics
Gelfand transform	Concept	Functional analysis
Routh's theorem	Theorem	Geometry
Holonomy	Definition	Differential geometry
Tensor decomposition	Concept	Linear and multilinear algebra; matrix theory
Comma category	Definition	Category theory; homological algebra
Hardy–Littlewood maximal function	Concept	Harmonic analysis on Euclidean spaces
Interpolation space	Concept	Functional analysis
Strong operator topology	Definition	Operator theory
Kigami's construction of Laplacians on post-critically finite fractals	Theorem	Potential theory
Exact couple	Concept	Algebraic topology
Baskakov operator	Concept	Approximations and expansions
Unknotting problem	Problem	Manifolds and cell complexes
Stable distribution	Definition	Probability theory and stochastic processes
Haar measure	Concept	Measure and integration
Exponential stability	Concept	Ordinary differential equations
Spherical code	Definition	Convex and discrete geometry
Lax–Friedrichs method	Concept	Numerical analysis
Boolean algebras canonically defined	Concept	Order, lattices, ordered algebraic structures
Synthetic geometry	Concept	Geometry
Wilson–Cowan neural field equation	Example	Biology and other natural sciences
CUSUM	Definition	Statistics
G-structure	Concept	Differential geometry
Hausdorff dimension	Definition	Measure and integration
Macdonald polynomial	Concept	Combinatorics
Graph minor	Concept	Combinatorics
Function field of a variety	Definition	Algebraic geometry
Trefoil knot	Example	Manifolds and cell complexes
Transfer homomorphism	Definition	Group theory and generalizations
Akra–Bazzi theorem	Theorem	Computer science
Herbrand's theorem	Theorem	Mathematical logic and foundations
Whittaker transform	Concept	Integral transforms, operational calculus
Pseudoanalytic function	Definition	Functions of a complex variable
Ehresmann connection	Definition	Differential geometry
Medial magma	Concept	Group theory and generalizations
Boolean product	Definition	General algebraic systems
Cascade algorithm	Concept	Numerical analysis
Germ	Concept	General topology
Quasi-compact morphism	Definition	Algebraic geometry
Lévy's upward theorem	Theorem	Probability theory and stochastic processes
Canonical bundle	Concept	Algebraic geometry
Well-posed problem	Concept	Partial differential equations
Universally closed morphism	Concept	Algebraic geometry
Whittle likelihood	Concept	Statistics
Helmholtz equation	Definition	Partial differential equations
Projective subspace	Definition	Geometry
Toyoda–Bruck theorem	Theorem	Group theory and generalizations
Quartic reciprocity	Theorem	Number theory
Schwarz's list	Theorem	Special functions
Pappus configuration	Example	Combinatorics
Free spectrum of a variety	Concept	General algebraic systems
Nonassociative ring	Definition	Nonassociative rings and algebras
Cup product	Definition	Algebraic topology
Superstability of the exponential equation	Theorem	Difference and functional equations
Completion of a valued field	Concept	Field theory and polynomials
Mackey topology	Concept	Functional analysis
De Finetti's theorem	Theorem	Probability theory and stochastic processes
Poisson kernel	Definition	Potential theory
Briançon–Skoda theorem	Theorem	Commutative algebra
Inertial manifold	Concept	Dynamical systems and ergodic theory
Doubling measure	Concept	Measure and integration
Coproduct	Definition	Category theory; homological algebra