Every idea

Ideas 18601–18750 of 19934.

Name	Kind	Subject
Noether's theorem	Theorem	Mechanics of particles and systems
Skorokhod's embedding theorem	Theorem	Probability theory and stochastic processes
Beckman–Quarles theorem	Theorem	Geometry
Decay of Fourier coefficients and smoothness	Theorem	Harmonic analysis on Euclidean spaces
Interacting particle system	Definition	Probability theory and stochastic processes
Polyharmonic spline	Concept	Approximations and expansions
Separated morphism	Definition	Algebraic geometry
Landau theory	Concept	Statistical mechanics, structure of matter
Normal fan	Concept	Convex and discrete geometry
Cryptographic hash function	Concept	Information and communication theory, circuits
Gleason–Yamabe theorem	Theorem	Topological groups, Lie groups
Chapman–Ferraro problem	Problem	Geophysics
Algebraic curve	Concept	Algebraic geometry
Curvelet	Definition	Harmonic analysis on Euclidean spaces
p-Laplacian	Concept	Partial differential equations
Geometric phase	Definition	Quantum theory
Eilenberg–MacLane spectrum	Object	Algebraic topology
Travelling salesman problem	Problem	Operations research, mathematical programming
Semisimple Lie group	Concept	Topological groups, Lie groups
Mellin inversion theorem	Theorem	Integral transforms, operational calculus
Abelian algebra	Definition	General algebraic systems
Best response	Definition	Game theory, economics, finance, and other social and behavioral sciences
Frobenius's theorem on Frobenius kernels	Theorem	Group theory and generalizations
Generalized least squares	Definition	Statistics
Hilbert scheme	Object	Algebraic geometry
Galois insertion	Definition	Order, lattices, ordered algebraic structures
Szász–Mirakyan operator	Definition	Approximations and expansions
Exchangeable random variables	Definition	Probability theory and stochastic processes
Canonical coordinates	Concept	Mechanics of particles and systems
Function field	Concept	Field theory and polynomials
Empirical process	Concept	Probability theory and stochastic processes
Quillen adjunction	Definition	Category theory; homological algebra
Coefficient of determination	Definition	Statistics
Cohomological dimension of a field	Definition	Field theory and polynomials
Prime end	Definition	Functions of a complex variable
Grunsky matrix	Concept	Functions of a complex variable
Potential flow around a circular cylinder	Example	Fluid mechanics
Mathematical optimization	Definition	Operations research, mathematical programming
Pentagon identity	Fact	Category theory; homological algebra
Theta transformation formula	Theorem	Number theory
Equidistribution modulo one	Concept	Number theory
Hilbert's theorem on the hyperbolic plane	Theorem	Differential geometry
Monte Carlo methods in finance	Definition	Game theory, economics, finance, and other social and behavioral sciences
Equilibrium problem with an external field	Problem	Potential theory
Schwarz triangle function	Concept	Special functions
Cosmological perturbation theory	Concept	Relativity and gravitational theory
AKS primality test	Theorem	Number theory
Associated bundle	Definition	Algebraic topology
Levi decomposition	Theorem	Nonassociative rings and algebras
Triangle removal lemma	Lemma	Combinatorics
Classical field theory	Definition	Mechanics of particles and systems
Two-way finite automaton	Definition	Computer science
Bounded gaps between primes	Theorem	Number theory
Néron–Severi group	Concept	Algebraic geometry
Hyperbolic conservation law	Concept	Partial differential equations
Substitution	Definition	Mathematical logic and foundations
Implied volatility	Concept	Game theory, economics, finance, and other social and behavioral sciences
Admissible decision rule	Definition	Statistics
Torus as a group	Example	Topological groups, Lie groups
Sumset	Concept	Number theory
Hertzian contact stress	Theorem	Mechanics of deformable solids
Fredholm module	Definition	K-theory
Factorization of polynomials over finite fields	Concept	Number theory
Hartmann number	Definition	Fluid mechanics
Fin heat transfer	Concept	Classical thermodynamics, heat transfer
Hemicontinuity	Concept	General topology
De la Vallée Poussin lower bound	Theorem	Approximations and expansions
PSPACE	Definition	Computer science
Convex polytope	Definition	Convex and discrete geometry
Dirac equation	Concept	Partial differential equations
Dehn twist	Definition	Manifolds and cell complexes
Branch point	Concept	Functions of a complex variable
Polynomial operation	Concept	General algebraic systems
Nuclear operator	Concept	Operator theory
Nesbitt's inequality	Proposition	Real functions
Unimodular group	Definition	Topological groups, Lie groups
Thermodynamic system	Definition	Classical thermodynamics, heat transfer
Contraction semigroup	Concept	Operator theory
Reduced mass	Definition	Mechanics of particles and systems
Brunt–Väisälä frequency	Concept	Fluid mechanics
Fredholm's theorem	Theorem	Integral equations
Optical soliton	Concept	Optics, electromagnetic theory
State-transition matrix	Definition	Ordinary differential equations
Hyperbolic partial differential equation	Definition	Partial differential equations
Intuitionism	Concept	Mathematical logic and foundations
Hochschild homology	Definition	Associative rings and algebras
Goodstein's theorem	Theorem	Mathematical logic and foundations
Pseudo-differential operator	Definition	Partial differential equations
ADM energy	Concept	Relativity and gravitational theory
Threshold theorem of epidemiology	Theorem	Biology and other natural sciences
ZPP	Definition	Computer science
Montessus de Ballore's theorem	Theorem	Approximations and expansions
Laplace transform method for convolution equations	Definition	Integral equations
Error threshold	Proposition	Biology and other natural sciences
Ideal completion	Definition	Order, lattices, ordered algebraic structures
Quasi-geostrophic equations	Definition	Fluid mechanics
Hodge index theorem	Theorem	Algebraic geometry
Finiteness of associated primes	Theorem	Commutative algebra
Pseudovariety	Concept	General algebraic systems
Schwarz reflection principle for harmonic functions	Theorem	Potential theory
Graph reconstruction conjecture	Conjecture	Combinatorics
Paradoxical decomposition	Concept	Abstract harmonic analysis
Time-variant system	Definition	Systems theory; control
Magnetic field	Concept	Optics, electromagnetic theory
Descending chain condition	Definition	Order, lattices, ordered algebraic structures
Existence and uniqueness for second-order linear initial value problems	Theorem	Ordinary differential equations
Method of fundamental solutions	Definition	Numerical analysis
Separable degree	Definition	Field theory and polynomials
Cyclic term theorem	Theorem	General algebraic systems
Shilov boundary	Definition	Functional analysis
Herd immunity threshold	Proposition	Biology and other natural sciences
Hotelling's T-squared distribution	Concept	Statistics
Order parameter	Concept	Statistical mechanics, structure of matter
Amalgamation property	Concept	Mathematical logic and foundations
Transverse isotropy	Concept	Mechanics of deformable solids
Low-discrepancy sequence	Concept	Number theory
Green's function of a Markov process	Concept	Probability theory and stochastic processes
Hidden-variable theory	Definition	Quantum theory
Jeans equations	Proposition	Astronomy and astrophysics
Manin conjecture	Conjecture	Algebraic geometry
System of parameters	Definition	Commutative algebra
Hadamard's lemma	Lemma	Real functions
Heilbronn triangle problem	Problem	Convex and discrete geometry
Dirichlet process	Concept	Probability theory and stochastic processes
Jordan–Schur theorem	Theorem	Group theory and generalizations
Homology with coefficients	Concept	Algebraic topology
Weyl–Titchmarsh theory	Concept	Ordinary differential equations
Cardinal points of an optical system	Concept	Optics, electromagnetic theory
Lambert's cosine law	Proposition	Classical thermodynamics, heat transfer
Three-dimensional gravity and BTZ black hole	Example	Relativity and gravitational theory
Classification of simple Lie superalgebras	Theorem	Nonassociative rings and algebras
Channel capacity of a quantum channel	Definition	Quantum theory
Rational variety	Concept	Algebraic geometry
Coroot	Concept	Nonassociative rings and algebras
Wess–Zumino model	Example	Quantum theory
P	Definition	Computer science
Linear-fractional programming	Concept	Operations research, mathematical programming
Conformal geometric algebra	Definition	Linear and multilinear algebra; matrix theory
Lebesgue integral	Definition	Measure and integration
Multiplicative decomposition of the deformation gradient	Definition	Mechanics of deformable solids
Well-powered category	Concept	Category theory; homological algebra
Diffusion-limited aggregation	Example	Statistical mechanics, structure of matter
Kruskal's tree theorem	Theorem	Combinatorics
Gromov–Witten invariant	Concept	Algebraic geometry
Blaschke–Lebesgue theorem	Theorem	Convex and discrete geometry
Cardinal function	Concept	General topology
Proper time	Definition	Relativity and gravitational theory
Semiprimary ring	Concept	Associative rings and algebras
Supporting hyperplane	Definition	Convex and discrete geometry
Disk algebra	Definition	Functional analysis