Every idea

Ideas 7201–7350 of 14183.

Name	Kind	Subject
Simplicial homology	Concept	Algebraic topology
Tropical variety	Definition	Algebraic geometry
Proof-theoretic ordinal	Concept	Mathematical logic and foundations
Sine and cosine addition equations	Concept	Difference and functional equations
Sheaf cohomology	Definition	Algebraic geometry
Nonlinear regression	Concept	Statistics
Equivariant cohomology	Concept	Algebraic topology
Ideal class group	Definition	Number theory
Boy's surface	Example	Manifolds and cell complexes
Akizuki–Hopkins–Levitzki theorem	Theorem	Commutative algebra
Paraconsistent logic	Concept	Mathematical logic and foundations
Laman graph	Concept	Convex and discrete geometry
Tutte polynomial	Concept	Combinatorics
Hochster's theorem on spectral spaces	Theorem	Algebraic geometry
Asymptotic behavior of solutions of renewal equations	Theorem	Integral equations
Link of a singularity	Concept	Several complex variables and analytic spaces
Gröbner basis	Concept	Commutative algebra
KAK decomposition	Theorem	Topological groups, Lie groups
Injective resolution	Definition	Category theory; homological algebra
Ramanujan summation	Definition	Sequences, series, summability
Liouville's equation	Concept	Partial differential equations
Monodromy	Concept	Ordinary differential equations
Borel–Moore homology	Definition	Algebraic topology
Bairstow's method	Proposition	Numerical analysis
Weak order of permutations	Example	Order, lattices, ordered algebraic structures
Kadison–Singer problem	Problem	Functional analysis
Archimedean equivalence classes	Definition	Order, lattices, ordered algebraic structures
Local time	Definition	Probability theory and stochastic processes
Müntz–Szász theorem	Theorem	Approximations and expansions
Free Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Polar set	Concept	Potential theory
Wiener algebra	Definition	Harmonic analysis on Euclidean spaces
Mixture model	Concept	Statistics
Normal number	Concept	Number theory
Cheeger–Müller theorem	Theorem	Global analysis, analysis on manifolds
Detailed balance	Definition	Probability theory and stochastic processes
Sullivan's no wandering domains theorem	Theorem	Dynamical systems and ergodic theory
Strict total order	Definition	Order, lattices, ordered algebraic structures
Quasi-isomorphism	Concept	Category theory; homological algebra
Pfaffian	Definition	Linear and multilinear algebra; matrix theory
Universally closed morphism	Definition	Algebraic geometry
M-matrix	Definition	Linear and multilinear algebra; matrix theory
Monster group	Object	Group theory and generalizations
Amoeba	Definition	Algebraic geometry
Radó's theorem on triangulation of surfaces	Theorem	Manifolds and cell complexes
Lawvere–Tierney topology	Definition	Category theory; homological algebra
Laplace transform on a convex cone	Definition	Integral transforms, operational calculus
Witt vectors	Definition	Commutative algebra
Schur complement	Definition	Linear and multilinear algebra; matrix theory
Ultraweak topology	Concept	Functional analysis
Logical connective	Definition	Mathematical logic and foundations
Complete elliptic integral of the second kind	Definition	Special functions
Coupling from the past	Definition	Numerical analysis
Arithmetic group	Definition	Group theory and generalizations
Finite volume method	Definition	Numerical analysis
Peetre K-functional	Concept	Functional analysis
Steinitz's theorem on algebraically closed fields	Theorem	Field theory and polynomials
Nonharmonic Fourier series	Definition	Harmonic analysis on Euclidean spaces
Irreducible ideal	Definition	Commutative algebra
Copula	Concept	Statistics
Symplectic manifold	Concept	Differential geometry
Graded ring	Definition	Commutative algebra
Gegenbauer polynomials	Definition	Special functions
Cohen–Macaulay ring	Definition	Commutative algebra
Method of matched asymptotic expansions	Definition	Ordinary differential equations
Levi-Civita connection	Concept	Differential geometry
Rigid analytic space	Definition	Algebraic geometry
Baily–Borel compactification	Theorem	Algebraic geometry
Hilbert–Schmidt integral operator	Concept	Operator theory
q-derivative	Definition	Combinatorics
Krull domain	Concept	Commutative algebra
Exact sequence	Definition	Category theory; homological algebra
Robust statistics	Definition	Statistics
Entropic uncertainty principle	Theorem	Harmonic analysis on Euclidean spaces
Euler's elastica	Problem	Calculus of variations and optimal control; optimization
Handlebody	Definition	Manifolds and cell complexes
Ulam's stability problem	Problem	Difference and functional equations
Riesz decomposition theorem	Theorem	Potential theory
Lyapunov–Schmidt reduction	Definition	Operator theory
Lebesgue–Stieltjes integration	Definition	Real functions
Witt's theorem	Theorem	Number theory
Kakutani's solution of the Dirichlet problem	Theorem	Probability theory and stochastic processes
Burali-Forti paradox	Counterexample	Mathematical logic and foundations
Path homotopy	Concept	Algebraic topology
Haar's uniqueness theorem	Theorem	Approximations and expansions
Facet	Definition	Convex and discrete geometry
Oscillator representation	Concept	Topological groups, Lie groups
Levi-Civita field	Object	Field theory and polynomials
Open segment	Concept	Convex and discrete geometry
Treewidth	Concept	Combinatorics
Frequency shift theorem	Theorem	Integral transforms, operational calculus
Raabe's test	Theorem	Sequences, series, summability
Holomorphically convex hull	Concept	Several complex variables and analytic spaces
Clifford analysis	Definition	Functions of a complex variable
Esakia duality	Theorem	Order, lattices, ordered algebraic structures
De Morgan algebra	Definition	Order, lattices, ordered algebraic structures
Lipschitz domain	Definition	Potential theory
Hölder's theorem on Archimedean groups	Theorem	Order, lattices, ordered algebraic structures
Dormand–Prince method	Proposition	Numerical analysis
Morphism of varieties	Concept	Algebraic geometry
Ambiguity function	Concept	Information and communication theory, circuits
Latin square	Concept	Combinatorics
Hidden Markov model	Definition	Statistics
Approximate identity	Concept	Functional analysis
Haar measure	Definition	Measure and integration
Betweenness	Concept	Geometry
Amenable group	Concept	Abstract harmonic analysis
Meixner polynomials	Concept	Special functions
Algebraic variety	Definition	Algebraic geometry
Boolean product	Concept	General algebraic systems
Cauchy's exponential equation	Concept	Difference and functional equations
Translation surface	Concept	Dynamical systems and ergodic theory
Formally smooth map	Definition	Commutative algebra
Deformation retract	Concept	General topology
Tietze transformations	Concept	Group theory and generalizations
Group homology	Concept	Group theory and generalizations
Composition operator	Concept	Operator theory
Reduction to diagonal form by transvections	Theorem	Linear and multilinear algebra; matrix theory
Harmonic measure	Concept	Potential theory
Gelfand–Raikov theorem	Theorem	Topological groups, Lie groups
Path space of a manifold	Object	Global analysis, analysis on manifolds
Finite-dimensional distributions	Definition	Probability theory and stochastic processes
Continuous mapping theorem	Theorem	Probability theory and stochastic processes
Trigonometric functions	Definition	Special functions
Concentration of measure	Concept	Convex and discrete geometry
Tensor product of algebras	Definition	Commutative algebra
Jacobi's four-square theorem	Theorem	Number theory
Mellin transform under a power substitution	Proposition	Integral transforms, operational calculus
Graph embedding	Concept	Combinatorics
Profinite completion	Concept	Group theory and generalizations
Schwartz space	Concept	Functional analysis
Differential operator between vector bundles	Concept	Global analysis, analysis on manifolds
Hadamard's inequality	Theorem	Linear and multilinear algebra; matrix theory
Geometric quantization	Definition	Differential geometry
Elementary embedding	Concept	Mathematical logic and foundations
Completely positive map	Concept	Functional analysis
Hypergraph	Concept	Combinatorics
Existence of an eigenvalue for a nonzero symmetric kernel	Theorem	Integral equations
Brennan conjecture	Conjecture	Functions of a complex variable
Least fixed point	Definition	Order, lattices, ordered algebraic structures
Stability of a difference equation	Concept	Difference and functional equations
Inverse Mellin transform	Concept	Integral transforms, operational calculus
Robbins–Monro algorithm	Concept	Statistics
Lichnerowicz vanishing theorem	Theorem	Differential geometry
Path homotopy	Definition	Algebraic topology
Limit	Concept	Category theory; homological algebra
p-adic number	Definition	Field theory and polynomials
Line graph	Definition	Combinatorics
Arnoldi iteration	Proposition	Numerical analysis
Cauchy's rigidity theorem	Theorem	Convex and discrete geometry