Every idea

Ideas 15001–15150 of 19838.

Name	Kind	Subject
Noncommutative torus	Example	Functional analysis
One-relator group	Definition	Group theory and generalizations
Systolic geometry	Concept	Differential geometry
Relational clone	Definition	General algebraic systems
Globally hyperbolic spacetime	Concept	Differential geometry
Power of a test	Definition	Statistics
Locally presentable category	Concept	Category theory; homological algebra
Focal mechanism	Concept	Geophysics
Epimorphism	Definition	Category theory; homological algebra
Isomorphism	Concept	General algebraic systems
Quintuple product identity	Theorem	Number theory
Hörmander's condition	Definition	Partial differential equations
Shell theory	Definition	Mechanics of deformable solids
Geometrothermodynamics	Concept	Classical thermodynamics, heat transfer
Repetition code	Example	Information and communication theory, circuits
Sequent calculus	Definition	Mathematical logic and foundations
Lagrangian submanifold	Definition	Differential geometry
Bond percolation	Concept	Statistical mechanics, structure of matter
Holomorphic fiber bundle	Definition	Several complex variables and analytic spaces
Dieudonné determinant	Concept	K-theory
Castigliano's method	Theorem	Mechanics of deformable solids
Inertial frame of reference	Concept	Mechanics of particles and systems
Pullback	Concept	Category theory; homological algebra
Semiring	Definition	Associative rings and algebras
Joint entropy	Definition	Information and communication theory, circuits
Angular momentum operator	Definition	Quantum theory
Hertz vector	Concept	Optics, electromagnetic theory
Schwartz impossibility theorem	Theorem	Functional analysis
Parametric model	Definition	Statistics
SL(2,R)	Example	Topological groups, Lie groups
Merkurjev–Suslin theorem	Theorem	K-theory
Linear congruential generator	Concept	Numerical analysis
Category theory	Definition	Category theory; homological algebra
Error bound for the trapezoidal rule	Theorem	Numerical analysis
Planar ternary ring	Concept	Geometry
Pointed space	Definition	Algebraic topology
Discrete geometry	Concept	Convex and discrete geometry
Complemented subspace	Concept	Functional analysis
Semiclassical gravity	Concept	Relativity and gravitational theory
Spinor bundle	Definition	Differential geometry
Tridiagonal matrix	Definition	Linear and multilinear algebra; matrix theory
Stationary-action principle	Fact	Calculus of variations and optimal control; optimization
Intuitionistic logic	Concept	Mathematical logic and foundations
Energy functional on paths	Concept	Global analysis, analysis on manifolds
Shilnikov theorem	Theorem	Dynamical systems and ergodic theory
Replicator equation	Definition	Game theory, economics, finance, and other social and behavioral sciences
K0 of a ring	Concept	K-theory
Wiener amalgam space	Definition	Harmonic analysis on Euclidean spaces
Kissing number problem in three dimensions	Theorem	Convex and discrete geometry
Piola–Kirchhoff stress tensors	Concept	Mechanics of deformable solids
Information-based complexity	Concept	Numerical analysis
Category theory	Concept	Category theory; homological algebra
Hausdorff measure	Concept	Measure and integration
Khinchin integral	Concept	Real functions
Dual of Lp	Theorem	Functional analysis
Axiom of constructibility	Definition	Mathematical logic and foundations
Direct limit of algebras	Definition	General algebraic systems
Foundations of mathematics	Definition	Mathematical logic and foundations
Semi-local ring	Definition	Commutative algebra
Asymptotic analysis	Concept	Approximations and expansions
Duhamel's principle	Theorem	Ordinary differential equations
Time complexity	Definition	Computer science
de Bruijn–Erdős theorem	Theorem	Geometry
Legendrian submanifold	Concept	Differential geometry
Fatou's theorem	Theorem	Functions of a complex variable
Domain theory	Concept	Order, lattices, ordered algebraic structures
Configuration	Concept	Combinatorics
Declination	Definition	Astronomy and astrophysics
Perceptron	Concept	Computer science
Homogeneous coordinates	Definition	Geometry
Unary operation	Concept	General algebraic systems
Topology of uniform convergence	Definition	General topology
Incomparability theorem	Theorem	Commutative algebra
Cayley–Dickson construction	Definition	Nonassociative rings and algebras
Householder's method	Theorem	Numerical analysis
Periodic sequence	Concept	Difference and functional equations
Integro-partial differential equation	Definition	Integral equations
Linear extension	Definition	Order, lattices, ordered algebraic structures
Graphical model	Concept	Statistics
Loop algebra	Definition	Nonassociative rings and algebras
Vandermonde matrix	Concept	Linear and multilinear algebra; matrix theory
Gelfand–Bratu problem	Problem	Partial differential equations
Quadric	Concept	Geometry
Grothendieck topology	Definition	Category theory; homological algebra
K3 surface	Concept	Algebraic geometry
System F	Definition	Mathematical logic and foundations
M/G/1 queue	Example	Probability theory and stochastic processes
Stag hunt	Example	Game theory, economics, finance, and other social and behavioral sciences
Peetre theorem on local operators	Theorem	Global analysis, analysis on manifolds
Dunford–Pettis theorem	Theorem	Functional analysis
Krein's condition	Theorem	Integral transforms, operational calculus
Morrey's lower semicontinuity theorem	Theorem	Calculus of variations and optimal control; optimization
Dehn surgery	Definition	Manifolds and cell complexes
Type theory	Concept	Mathematical logic and foundations
Binary entropy function	Definition	Information and communication theory, circuits
Littlewood–Richardson rule	Theorem	Combinatorics
Maxwell equal-area construction	Concept	Classical thermodynamics, heat transfer
Constitutive equation	Concept	Mechanics of deformable solids
Complex potential	Concept	Fluid mechanics
Dehn function	Concept	Group theory and generalizations
Sine and cosine transforms	Definition	Harmonic analysis on Euclidean spaces
Lacunary series	Definition	Harmonic analysis on Euclidean spaces
dbar-Neumann problem	Problem	Several complex variables and analytic spaces
Stable general linear group	Definition	K-theory
Integral transform	Definition	Integral transforms, operational calculus
Newton–Gregory forward formula	Theorem	Approximations and expansions
Membrane theory of shells	Definition	Mechanics of deformable solids
Saffman–Taylor instability	Definition	Fluid mechanics
Wannier function	Concept	Statistical mechanics, structure of matter
Cox–Ingersoll–Ross model	Definition	Game theory, economics, finance, and other social and behavioral sciences
Context-free language	Concept	Computer science
Fredholm operator	Definition	Operator theory
H-cone	Concept	Potential theory
Mohr–Coulomb theory	Concept	Mechanics of deformable solids
Zonal spherical harmonics	Concept	Special functions
Open quantum system	Definition	Quantum theory
Diversity index	Concept	Biology and other natural sciences
Riemannian Penrose inequality	Theorem	Differential geometry
Method of steepest descent	Concept	Approximations and expansions
Galois connection	Concept	Order, lattices, ordered algebraic structures
Hamilton–Jacobi–Isaacs equation	Definition	Calculus of variations and optimal control; optimization
Hahn–Mazurkiewicz theorem	Theorem	General topology
Meyer wavelet	Example	Harmonic analysis on Euclidean spaces
Direct limit of rings	Concept	Associative rings and algebras
Fermi–Walker transport	Definition	Relativity and gravitational theory
Riemannian metric	Concept	Differential geometry
Arbitrage	Concept	Game theory, economics, finance, and other social and behavioral sciences
Property P conjecture	Theorem	Manifolds and cell complexes
Pushout	Concept	Category theory; homological algebra
Belief propagation decoding	Concept	Information and communication theory, circuits
Korovkin's theorem	Theorem	Approximations and expansions
Polygon triangulation	Concept	Computer science
Vanishing moments of a wavelet	Definition	Harmonic analysis on Euclidean spaces
Young tableau	Concept	Combinatorics
Polynomial-time submodular minimization	Theorem	Operations research, mathematical programming
Cartesian closed category	Definition	Category theory; homological algebra
Equational logic	Definition	General algebraic systems
Hermitian metric on a vector bundle	Concept	Several complex variables and analytic spaces
Bending moment	Concept	Mechanics of deformable solids
Compactification	Concept	General topology
Fermi acceleration	Definition	Astronomy and astrophysics
Large deviations theory	Concept	Probability theory and stochastic processes
Spectral mapping theorem for polynomials	Theorem	Functional analysis
Completeness in order theory	Concept	Order, lattices, ordered algebraic structures
Polynomial greatest common divisor	Concept	Commutative algebra
Modular lattice	Definition	Order, lattices, ordered algebraic structures
Surgery exact sequence	Theorem	Manifolds and cell complexes
Equivalence of Turing machines and partial recursive functions	Theorem	Mathematical logic and foundations
Denjoy theorem on rotation number	Theorem	Dynamical systems and ergodic theory
Rayleigh–Plesset equation	Definition	Fluid mechanics