Every idea

Ideas 22051–22200 of 22263.

Name	Kind	Subject
Grauert's direct image theorem	Theorem	Several complex variables and analytic spaces
Hilbert transform of sinusoids	Example	Integral transforms, operational calculus
Proof that the exponential function is strictly convex	Proof	Real functions
Fourier transform of the Gaussian	Proposition	Harmonic analysis on Euclidean spaces
Addition and multiplication of rationals respect equality	Theorem	Number theory
Finite-dimensional Hausdorff vector topologies are Euclidean	Theorem	Functional analysis
Moment tensor	Concept	Geophysics
Proof of the law of excluded middle by a truth table	Proof	Mathematical logic and foundations
Hofstadter sequences	Example	Number theory
Representation of a Lie algebra	Definition	Nonassociative rings and algebras
Hartmann number	Concept	Fluid mechanics
Radical of an ideal	Definition	Commutative algebra
Sample mean and sample covariance	Concept	Statistics
Volume conjecture	Conjecture	Manifolds and cell complexes
Uniform algebra	Concept	Functional analysis
Representation ring	Definition	K-theory
Subtyping	Concept	Computer science
Carathéodory's royal road	Definition	Calculus of variations and optimal control; optimization
Landauer's principle	Fact	Statistical mechanics, structure of matter
Stochastic approximation	Concept	Statistics
Control system	Concept	Systems theory; control
Kazhdan–Lusztig conjecture	Theorem	Nonassociative rings and algebras
Proof of Bernoulli's inequality by induction	Proof	Real functions
Waldhausen S-construction	Concept	Category theory; homological algebra
Bra–ket notation	Concept	Quantum theory
Observed information	Definition	Statistics
Proof of Hurwitz's theorem by Rouché's theorem	Proof	Functions of a complex variable
Generalized method of moments	Concept	Statistics
Irreducible component	Definition	Algebraic geometry
Conjugate points	Concept	Differential geometry
Lapse rate	Concept	Geophysics
Switched system	Definition	Systems theory; control
Enumerative geometry	Concept	Algebraic geometry
WKB approximation in optics	Concept	Optics, electromagnetic theory
Quantum inverse scattering method	Concept	Quantum theory
Proof that an intersection of subspaces is a subspace	Proof	Linear and multilinear algebra; matrix theory
Jacobian variety	Concept	Algebraic geometry
Progenerator	Concept	Associative rings and algebras
Fourier multiplier	Concept	Harmonic analysis on Euclidean spaces
Hardy–Littlewood circle method	Concept	Number theory
Skolem–Mahler–Lech theorem	Theorem	Number theory
Pauli exclusion principle	Proposition	Quantum theory
Propagation of uncertainty	Definition	Numerical analysis
Voronoi cell	Definition	Convex and discrete geometry
Kruskal's algorithm	Definition	Combinatorics
Donaldson theory	Concept	Manifolds and cell complexes
Legendre transformation	Concept	Real functions
Locally compact abelian group	Concept	Topological groups, Lie groups
Total variation diminishing scheme	Definition	Numerical analysis
Whitney–Graustein theorem	Theorem	Manifolds and cell complexes
Drazin inverse	Definition	Linear and multilinear algebra; matrix theory
Geomagnetic reversal	Concept	Geophysics
Łoś–Vaught test	Theorem	Mathematical logic and foundations
Scott topology	Concept	Order, lattices, ordered algebraic structures
Yarkovsky effect	Fact	Mechanics of particles and systems
Laws of thermodynamics	Fact	Classical thermodynamics, heat transfer
Feller process	Definition	Probability theory and stochastic processes
Semiperfect ring	Concept	Associative rings and algebras
π	Concept
Dialectica interpretation	Definition	Mathematical logic and foundations
Mirror descent	Concept	Operations research, mathematical programming
Crystal plasticity	Definition	Mechanics of deformable solids
Holomorphically convex domain	Definition	Several complex variables and analytic spaces
Bochner's theorem	Theorem	Abstract harmonic analysis
Point estimation	Definition	Statistics
Proof of the QR decomposition by clearing the first column	Proof	Linear and multilinear algebra; matrix theory
Jacobi condition	Theorem	Calculus of variations and optimal control; optimization
Exclusion negation	Concept
Support of a convolution	Proposition	Integral transforms, operational calculus
Ricci flow	Definition	Differential geometry
Proof that K[x] is a Euclidean domain	Proof	Commutative algebra
Source	Concept
Horn clause	Definition	Mathematical logic and foundations
Inverse Fourier transform	Definition	Harmonic analysis on Euclidean spaces
Ideal MHD equations	Concept	Fluid mechanics
Johnson solid	Object	Geometry
Conway knot	Example	Manifolds and cell complexes
Schechter luminosity function	Concept	Astronomy and astrophysics
Bogoliubov theory of the weakly interacting Bose gas	Concept	Statistical mechanics, structure of matter
Quantitative Ryser conjecture	Proposition
Inductance	Definition	Optics, electromagnetic theory
Hodge structure	Concept	Algebraic geometry
Debye length	Concept	Statistical mechanics, structure of matter
Flow network	Concept	Operations research, mathematical programming
Kármán–Howarth equation	Proposition	Fluid mechanics
Method of images	Concept	Potential theory
Non-Newtonian fluid	Definition	Fluid mechanics
Hungarian algorithm	Definition	Operations research, mathematical programming
Universal class	Concept	Mathematical logic and foundations
Forced convection	Definition	Fluid mechanics
Maximal subfield	Concept	Associative rings and algebras
Lie derivative	Definition	Differential geometry
Glen's flow law	Fact	Geophysics
Lefschetz number	Concept	Algebraic topology
L-infinity space	Concept	Functional analysis
K-theory	Concept	K-theory
Weak gravitational lensing	Concept	Astronomy and astrophysics
Complemented lattice	Concept	Order, lattices, ordered algebraic structures
Absolute continuity	Concept	Real functions
Seiberg–Witten theory	Definition	Quantum theory
Morley's trisector theorem	Theorem	Geometry
Projective space	Concept	Algebraic geometry
Pushforward measure	Definition	Measure and integration
Markov parameters and the Hankel matrix of a system	Definition	Systems theory; control
Faber's theorem on interpolation	Theorem	Approximations and expansions
Brown–Douglas–Fillmore theory	Concept	K-theory
Contact geometry of thermodynamics	Concept	Classical thermodynamics, heat transfer
Column generation	Definition	Operations research, mathematical programming
Proper equilibrium	Concept	Game theory, economics, finance, and other social and behavioral sciences
Input-to-state stability	Definition	Systems theory; control
Simply typed lambda calculus	Definition	Mathematical logic and foundations
Definable set	Definition	Mathematical logic and foundations
Zariski's multiplicity conjecture	Conjecture	Several complex variables and analytic spaces
Hindman's theorem	Theorem	Combinatorics
Mellin transform as a Fourier transform in logarithmic variables	Proposition	Integral transforms, operational calculus
Artinian ring	Definition	Commutative algebra
Proof of the exterior angle theorem from the angle sum	Proof	Geometry
Partially well-ordered set	Definition	Order, lattices, ordered algebraic structures
Stone space	Concept	Order, lattices, ordered algebraic structures
Proof of the Arzelà–Ascoli theorem by total boundedness	Proof	General topology
Kernel density estimation	Concept	Statistics
Grothendieck spectral sequence	Theorem	Category theory; homological algebra
Open immersion	Definition	Algebraic geometry
Bilinear interpolation	Definition	Numerical analysis
Montel's theorem	Theorem	Functions of a complex variable
Topology generated by a family of seminorms	Concept	Functional analysis
Numerical linear algebra	Definition	Numerical analysis
Quiver	Definition	Associative rings and algebras
Essential supremum	Definition	Measure and integration
Arnold diffusion	Concept	Dynamical systems and ergodic theory
Partial difference equation	Definition	Difference and functional equations
Kodaira dimension	Concept	Algebraic geometry
Kleene star	Concept	Computer science
Langevin equation	Concept	Probability theory and stochastic processes
Injective resolution	Concept	Category theory; homological algebra
Sigma-compact space	Concept	General topology
Regular and singular points of an analytic set	Concept	Several complex variables and analytic spaces
Statistical convergence	Concept	Sequences, series, summability
Proof of the constant multiple rule	Proof	Real functions
No surjection from the positive integers onto the unit interval	Proposition	Mathematical logic and foundations
Drude model	Definition	Statistical mechanics, structure of matter
Nondeterministic finite automaton	Definition	Computer science
Thermal resistance	Definition	Classical thermodynamics, heat transfer
Birch and Swinnerton-Dyer conjecture	Conjecture	Number theory
Entanglement distillation	Concept	Quantum theory
Streamlines, streaklines and pathlines	Concept	Fluid mechanics
Local martingale	Definition	Probability theory and stochastic processes
Proof that similar matrices have the same characteristic polynomial	Proof	Linear and multilinear algebra; matrix theory
Mason–Stothers theorem	Theorem	Number theory
Brachistochrone problem	Problem	Calculus of variations and optimal control; optimization