Every idea

Ideas 7951–8100 of 14183.

Name	Kind	Subject
Roth's theorem on arithmetic progressions	Theorem	Number theory
Order of a PDE	Concept	Partial differential equations
Projective tensor product	Definition	Functional analysis
Faber–Krahn inequality	Theorem	Partial differential equations
Ramification	Definition	Number theory
Characterizations of discrete valuation rings	Proposition	Commutative algebra
Local time	Concept	Probability theory and stochastic processes
Convex functions of subharmonic functions	Proposition	Potential theory
Monomial order	Concept	Commutative algebra
Birth–death process	Concept	Probability theory and stochastic processes
Immersed boundary method	Definition	Numerical analysis
Prime ideal in a noncommutative ring	Concept	Associative rings and algebras
Holomorphy on Banach spaces	Concept	Functional analysis
Gauss–Kronrod quadrature	Theorem	Numerical analysis
Heat kernel on a Riemannian manifold	Definition	Global analysis, analysis on manifolds
Fourier monomial on the circle	Definition	Harmonic analysis on Euclidean spaces
Injectivity radius	Definition	Differential geometry
Limit point compact space	Concept	General topology
Homotopy principle	Definition	Global analysis, analysis on manifolds
Logarithmically convex function	Definition	Real functions
Standard part function	Definition	Real functions
Periodic solutions of integral equations	Definition	Integral equations
Lyapunov function for a difference equation	Concept	Difference and functional equations
Convolution ring has no zero divisors	Corollary	Integral transforms, operational calculus
Butterfly theorem	Theorem	Geometry
Differentiability of the Mellin transform	Theorem	Integral transforms, operational calculus
Time series	Concept	Statistics
Nontangential limit	Definition	Potential theory
Degree of a central simple algebra	Definition	Associative rings and algebras
Modality of a singularity	Definition	Global analysis, analysis on manifolds
Generalized convolution of an integral transform	Concept	Integral transforms, operational calculus
Profunctor	Concept	Category theory; homological algebra
Lerch zeta function	Concept	Number theory
H-space	Concept	Algebraic topology
Bessel's equation	Example	Ordinary differential equations
Homotopy category	Definition	Category theory; homological algebra
Gateaux derivative	Concept	Functional analysis
Fox H-function	Concept	Special functions
Influence function	Concept	Statistics
Basic hypergeometric series	Concept	Special functions
Gordon–Luecke theorem	Theorem	Manifolds and cell complexes
Wolff potential	Concept	Potential theory
Chow group	Concept	Algebraic geometry
Plünnecke–Ruzsa inequality	Theorem	Number theory
Mutually singular measures	Concept	Measure and integration
Wilkie's identity	Example	General algebraic systems
Successive minima	Definition	Number theory
Fréchet manifold	Concept	Global analysis, analysis on manifolds
Repair radii and villainy	Concept	Combinatorics
Magnus expansion	Concept	Ordinary differential equations
Fermi–Pasta–Ulam–Tsingou problem	Problem	Dynamical systems and ergodic theory
Extensive category	Definition	Category theory; homological algebra
Affine plane	Concept	Geometry
Quantale	Definition	Order, lattices, ordered algebraic structures
Radon–Nikodym derivative	Definition	Measure and integration
Concrete category	Definition	Category theory; homological algebra
Ginzburg–Landau functional	Example	Partial differential equations
Hartogs's theorem on separate holomorphicity	Theorem	Several complex variables and analytic spaces
Hilbert–Pólya conjecture	Conjecture	Number theory
Luzin N property	Definition	Real functions
Shooting method	Concept	Numerical analysis
Barrier	Concept	Potential theory
Simons cone	Example	Calculus of variations and optimal control; optimization
Bohr almost periodic function	Concept	Harmonic analysis on Euclidean spaces
Heegaard splitting	Concept	Manifolds and cell complexes
Galois category	Definition	Algebraic geometry
Stratonovich integral	Concept	Probability theory and stochastic processes
Bifurcation in a family of maps	Concept	Difference and functional equations
Prevariety	Concept	General algebraic systems
Wave front of a Legendrian map	Definition	Differential geometry
Bedford–Taylor theory	Concept	Several complex variables and analytic spaces
Galois cohomology	Definition	Field theory and polynomials
Dirichlet boundary condition	Concept	Ordinary differential equations
Differential Galois theory	Concept	Field theory and polynomials
Costa's minimal surface	Example	Differential geometry
Equivalence of varieties	Definition	General algebraic systems
Cohomological dimension of a group	Concept	Group theory and generalizations
Factorization of polynomials	Definition	Commutative algebra
Lebesgue spine	Counterexample	Potential theory
Foundations of mathematics	Concept	Mathematical logic and foundations
Cofibration	Definition	Algebraic topology
John ellipsoid	Definition	Convex and discrete geometry
Differences of polynomials vanish beyond the degree	Proposition	Difference and functional equations
Boolean algebras canonically defined	Definition	Order, lattices, ordered algebraic structures
WKB approximation	Definition	Ordinary differential equations
Integral current	Concept	Calculus of variations and optimal control; optimization
Kruskal–Wallis test	Concept	Statistics
Double layer potential	Concept	Potential theory
Quasiregular map	Concept	Functions of a complex variable
Maximum principle for potentials	Theorem	Potential theory
Gaussian free field	Concept	Probability theory and stochastic processes
Abelian scheme	Definition	Algebraic geometry
Finite determinacy theorem	Theorem	Global analysis, analysis on manifolds
Lebedev quadrature	Theorem	Numerical analysis
Quasi-invariant measure	Definition	Measure and integration
Harmonic measure	Definition	Potential theory
Inner measure	Definition	Measure and integration
Spectrum of an element	Concept	Functional analysis
Markov brothers' inequality	Theorem	Approximations and expansions
Abelian algebra	Concept	General algebraic systems
Lipschitz class	Concept	Approximations and expansions
Cohomology ring	Definition	Algebraic topology
Hermite normal form	Theorem	Linear and multilinear algebra; matrix theory
Continuous dual space	Definition	Functional analysis
Rational approximation	Concept	Approximations and expansions
Laplace transform method for convolution equations	Concept	Integral equations
Haagerup property	Definition	Topological groups, Lie groups
Factorial experiment	Concept	Statistics
Slowly varying function	Concept	Real functions
Multiresolution analysis	Definition	Harmonic analysis on Euclidean spaces
Logarithmically convex domain	Concept	Several complex variables and analytic spaces
Covering relation	Definition	Order, lattices, ordered algebraic structures
Conjugate prior	Concept	Statistics
Growth of algebras	Concept	Associative rings and algebras
Morrey quasiconvexity	Definition	Calculus of variations and optimal control; optimization
Behrens–Fisher problem	Problem	Statistics
Perron's formula	Theorem	Number theory
Finitary operation	Concept	General algebraic systems
Stein manifold	Definition	Several complex variables and analytic spaces
Dirichlet kernel	Definition	Harmonic analysis on Euclidean spaces
Eckmann–Hilton argument	Lemma	Algebraic topology
Stieltjes transform	Definition	Integral transforms, operational calculus
FK-space	Definition	Functional analysis
Homotopy group with coefficients	Definition	Algebraic topology
Indecomposable continuum	Definition	General topology
Jacobson density theorem	Theorem	Associative rings and algebras
Normal scheme	Concept	Algebraic geometry
Beurling–Deny formula	Theorem	Potential theory
Initial and terminal objects	Concept	Category theory; homological algebra
Polynomial interpolation	Definition	Approximations and expansions
Radical axis	Definition	Geometry
Postnikov tower	Concept	Algebraic topology
Closed monoidal category	Concept	Category theory; homological algebra
Busemann G-space	Concept	Differential geometry
Neyman construction	Concept	Statistics
Bimodule	Concept	Associative rings and algebras
Berlekamp's algorithm	Concept	Number theory
Schatten class	Definition	Operator theory
Hasse principle	Concept	Number theory
Rank of an abelian group	Concept	Group theory and generalizations
Parabolic maximum principle	Theorem	Partial differential equations
Cohen's independence of CH	Theorem	Mathematical logic and foundations
Shallow water equations	Definition	Fluid mechanics
Total curvature	Definition	Differential geometry
Cubic reciprocity	Theorem	Number theory
Projective geometry	Definition	Geometry
Hamilton–Jacobi theory of the calculus of variations	Definition	Calculus of variations and optimal control; optimization
Incomplete LU factorization	Definition	Numerical analysis
Petersson inner product	Concept	Number theory
Anosov flow	Definition	Dynamical systems and ergodic theory