Every idea

Ideas 18301–18450 of 19875.

Name	Kind	Subject
Synthetic differential geometry	Definition	Geometry
Bisimulation	Concept	Computer science
Stable ∞-category	Concept	Category theory; homological algebra
Regularization of ill-posed problems	Definition	Numerical analysis
Information-based complexity	Definition	Numerical analysis
Complex torus	Definition	Algebraic geometry
Kozeny–Carman equation	Fact	Fluid mechanics
Mellin's inverse formula	Theorem	Integral transforms, operational calculus
Eshelby's inclusion problem	Problem	Mechanics of deformable solids
Fourier optics	Definition	Optics, electromagnetic theory
Kochen–Specker theorem	Theorem	Quantum theory
Forward kinematics	Definition	Mechanics of particles and systems
Chomsky normal form	Definition	Computer science
Separated morphism	Concept	Algebraic geometry
Oblique shock	Definition	Fluid mechanics
Rayleigh wave	Concept	Mechanics of deformable solids
Formally real field	Concept	Field theory and polynomials
Ordered vector space	Definition	Functional analysis
Killing Lie algebra	Concept	Nonassociative rings and algebras
Gelfand–Levitan–Marchenko equation	Concept	Ordinary differential equations
Constraint	Concept	Operations research, mathematical programming
Generalized Kac–Moody algebra	Concept	Nonassociative rings and algebras
Brewster's angle	Definition	Optics, electromagnetic theory
Kerr metric	Example	Relativity and gravitational theory
Semilinear PDE	Definition	Partial differential equations
Cavity method	Definition	Statistical mechanics, structure of matter
Statistical mechanics	Concept	Statistical mechanics, structure of matter
Centrifugal force	Definition	Mechanics of particles and systems
Lie symmetry method	Concept	Ordinary differential equations
Quillen–Lichtenbaum conjecture	Theorem	K-theory
Hearing the shape of a drum	Problem	Global analysis, analysis on manifolds
Poisson algebra	Definition	Nonassociative rings and algebras
Exotic R4	Object	Manifolds and cell complexes
Center manifold	Concept	Ordinary differential equations
Parameterized complexity	Concept	Computer science
Quadratic variation	Concept	Probability theory and stochastic processes
Calabi–Weil rigidity	Corollary	Differential geometry
Tanh-sinh quadrature	Proposition	Numerical analysis
Schur's lemma	Lemma	Associative rings and algebras
Ray tracing	Definition	Optics, electromagnetic theory
Mittag-Leffler's theorem	Theorem	Functions of a complex variable
Chasles' theorem	Theorem	Mechanics of particles and systems
Superharmonic function	Concept	Potential theory
Kondo model	Example	Statistical mechanics, structure of matter
Geodetic datum	Definition	Geophysics
Lelong class	Concept	Several complex variables and analytic spaces
Compositum of fields	Definition	Field theory and polynomials
Beltrami–Michell compatibility equations	Theorem	Mechanics of deformable solids
Rees matrix semigroup	Concept	Group theory and generalizations
van der Waals equation	Concept	Classical thermodynamics, heat transfer
Atwood machine	Example	Mechanics of particles and systems
Lieb–Wu solution of the one-dimensional Hubbard model	Theorem	Statistical mechanics, structure of matter
Reduced mass	Concept	Mechanics of particles and systems
Colorful Carathéodory theorem	Theorem	Convex and discrete geometry
Greedy algorithm for matroids	Theorem	Combinatorics
Milnor fibre is a bouquet of spheres	Theorem	Several complex variables and analytic spaces
Laplace transform of the exponential function	Example	Integral transforms, operational calculus
Algorithmic randomness	Definition	Mathematical logic and foundations
Schröder–Bernstein theorem for finite sets	Proposition	Mathematical logic and foundations
Nörlund mean	Concept	Sequences, series, summability
Cut locus	Concept	Differential geometry
Rayleigh dissipation function	Definition	Mechanics of particles and systems
Givens rotation	Definition	Numerical analysis
Kähler manifold	Concept	Several complex variables and analytic spaces
Abel–Dini theorem	Theorem	Sequences, series, summability
Topological insulator	Concept	Statistical mechanics, structure of matter
Differentiable curve	Definition	Differential geometry
Finite ring	Concept	Associative rings and algebras
Additive Schwarz method	Theorem	Numerical analysis
Exponential functions on semigroups	Definition	Difference and functional equations
Fourier–Bessel series	Definition	Harmonic analysis on Euclidean spaces
Localization at a prime ideal	Concept	Commutative algebra
Rough path	Concept	Probability theory and stochastic processes
Harmonic map heat flow	Definition	Global analysis, analysis on manifolds
Upper half-plane	Object	Functions of a complex variable
Inner-outer factorization	Theorem	Functions of a complex variable
Envelope of holomorphy	Concept	Several complex variables and analytic spaces
Spectral theorem for bounded normal operators	Theorem	Operator theory
Dual of a compact group is discrete	Proposition	Abstract harmonic analysis
Robbins conjecture	Theorem	Order, lattices, ordered algebraic structures
Rack and quandle	Concept	Manifolds and cell complexes
Quasicrystal	Definition	Convex and discrete geometry
Multiplier ideal	Definition	Algebraic geometry
Tangential Cauchy–Riemann equations	Concept	Several complex variables and analytic spaces
Integrable function	Concept	Measure and integration
Flexure of the lithosphere	Definition	Mechanics of deformable solids
Finite difference method	Concept	Numerical analysis
Waldhausen category	Concept	Category theory; homological algebra
Archimedean solid	Object	Geometry
Wess–Zumino–Witten model	Example	Quantum theory
Great-circle distance	Definition	Geometry
Beta plane	Definition	Fluid mechanics
Artin's theorem on fixed fields	Theorem	Field theory and polynomials
Bondy's theorem	Theorem	Combinatorics
Lie algebra of a compact group is reductive	Theorem	Topological groups, Lie groups
Poynting's theorem	Theorem	Optics, electromagnetic theory
Quasi-steady-state approximation	Theorem	Biology and other natural sciences
Marsden–Weinstein reduction	Definition	Differential geometry
Summability method	Definition	Sequences, series, summability
Chern–Simons form	Concept	Differential geometry
Integral element	Definition	Commutative algebra
Jensen inequality as a functional inequality	Proposition	Difference and functional equations
Newtonian limit	Fact	Relativity and gravitational theory
Baker–Campbell–Hausdorff formula	Theorem	Topological groups, Lie groups
Stress deviator tensor	Concept	Mechanics of deformable solids
Mayer–Vietoris sequence	Theorem	Algebraic topology
Eikonal equation	Definition	Partial differential equations
Separable algebra	Concept	Associative rings and algebras
Orthogonality of eigenfunctions of the equation x'' + lambda x = 0 with standard boundary conditions	Theorem	Ordinary differential equations
Column generation	Concept	Operations research, mathematical programming
Stinespring dilation theorem	Theorem	Functional analysis
Balancing domain decomposition	Theorem	Numerical analysis
Frölicher–Nijenhuis bracket	Definition	Global analysis, analysis on manifolds
Hilbert's tenth problem	Theorem	Number theory
Chebotarev's density theorem	Theorem	Number theory
Turing completeness	Definition	Computer science
Lattice	Definition	Order, lattices, ordered algebraic structures
Residually finite algebra	Concept	General algebraic systems
Bangert–Franks theorem on closed geodesics on the sphere	Theorem	Global analysis, analysis on manifolds
Henyey track	Definition	Astronomy and astrophysics
Hardness of approximation	Concept	Computer science
Permanent	Concept	Linear and multilinear algebra; matrix theory
Adjoint state method	Definition	Calculus of variations and optimal control; optimization
Direct limit	Concept	Category theory; homological algebra
Padua points	Example	Approximations and expansions
Hecke operator	Definition	Number theory
Cowling's antidynamo theorem	Theorem	Fluid mechanics
Sub-Gaussian distribution	Concept	Probability theory and stochastic processes
Laguerre–Pólya class	Concept	Functions of a complex variable
F. and M. Riesz theorem	Theorem	Functions of a complex variable
Gödel's incompleteness theorems	Theorem	Mathematical logic and foundations
Adiabatic flame temperature	Definition	Classical thermodynamics, heat transfer
Weyl's theorem on compact perturbations	Theorem	Operator theory
Jacobson radical	Concept	Commutative algebra
Higgs mechanism	Definition	Quantum theory
Logarithmic potential	Definition	Potential theory
Hilbert's fourth problem	Problem	Geometry
Insertion sort	Concept	Computer science
Ol'shanskii's counterexample to the von Neumann conjecture	Counterexample	Abstract harmonic analysis
Matrix Lie group	Definition	Topological groups, Lie groups
Sub-Riemannian geodesic problem	Problem	Differential geometry
Proportional hazards model	Definition	Statistics
Uniform approximation	Concept	Approximations and expansions
Commutative magma	Concept	Group theory and generalizations
Lagrange multipliers for constraints	Concept	Mechanics of particles and systems
Knuth–Morris–Pratt algorithm	Definition	Computer science
Effective resistance	Concept	Potential theory
Hodge conjecture	Conjecture	Algebraic geometry
Metamaterial cloaking	Concept	Optics, electromagnetic theory
Beilinson regulator	Definition	K-theory