User:VeblenBot/Unreferenced

Mathematical theorems (105)

Abouabdillah's theorem • Akra-Bazzi method • Artin–Wedderburn theorem • Beatty's theorem • Beck's monadicity theorem • Bertrand's ballot theorem • Bourbaki–Witt theorem • Branching theorem • Brauer's theorem on induced characters • Cameron-Martin theorem • Carathéodory's theorem (conformal mapping) • Cartan's theorem • Castelnuovo-de Franchis theorem • Cayley's theorem • Clark-Ocone theorem • Classification theorem • Clifford's theorem • Continuity property • Convolution theorem • Corona theorem • Cramer's rule • De Finetti's theorem • De Moivre's formula • Divergence theorem • Dominated convergence theorem • Eisenstein's theorem • Euler's rotation theorem • Excision theorem • Factor theorem • Faltings' theorem • Fejér's theorem • Fuglede's theorem • Fundamental theorem of Galois theory • Fundamental theorem of Riemannian geometry • Fundamental theorem of curves • Fundamental theorem on homomorphisms • Gauss-Lucas theorem • Gauss–Bonnet theorem • Green's theorem • Hahn embedding theorem • Hahn-Kolmogorov theorem • Hairy ball theorem • Harnack's principle • Hellinger–Toeplitz theorem • Helly's selection theorem • Hilbert's Nullstellensatz • Hilbert's irreducibility theorem • Hilbert's syzygy theorem • Hodge index theorem • Hurewicz theorem • Identity theorem for Riemann surfaces • Inverse function theorem • Katetov-Tong insertion theorem • Kodaira embedding theorem • Kronecker's theorem • Kuiper's theorem • Labelled enumeration theorem • Lagrange's theorem (group theory) • Lagrange's theorem (number theory) • Lasker–Noether theorem • Lebesgue's decomposition theorem • Linear congruence theorem • Linear speedup theorem • Liouville's theorem (Hamiltonian) • Luzin's theorem • Mahler's theorem • Marcinkiewicz theorem • Maschke theorem • Metrization theorem • Nagell–Lutz theorem • Nested intervals • Nielsen realization problem • Open mapping theorem • Ore's theorem • Peter–Weyl theorem • Polynomial function theorems for zeros • Polynomial remainder theorem • Primitive element theorem • Regularity theorem for Lebesgue measure • Representation theorem • Riemann-Roch theorem for smooth manifolds • Riemann-von Mangoldt formula • Schwarz reflection principle • Schwarz–Ahlfors–Pick theorem • Shannon's source coding theorem • Siegel's theorem on integral points • Simplicial approximation theorem • Structure theorem for Gaussian measures • Sturm's theorem • Swan's theorem • Theorem of de Moivre–Laplace • Theorem of the cube • There is no infinite-dimensional Lebesgue measure • Torelli theorem • Toy theorem • Ultraparallel theorem • Uniformization theorem • Vitali–Hahn–Saks theorem • Weierstrass–Casorati theorem • Whitney embedding theorem • Whitney extension theorem • Wiener's tauberian theorem • Wilson's theorem • Wolstenholme's theorem • Zsigmondy's theorem •

Linear algebra (75)

3D projection • Affine space • Affine transformation • Antilinear map • Basis (linear algebra) • Basis function • Binomial inverse theorem • Category of vector spaces • Change of bases • Change of basis • Characteristic polynomial • Coefficient matrix • Column vector • Complex conjugate vector space • Coordinate space • Coordinate vector • Cramer's rule • Dimension (vector space) • Dimension theorem for vector spaces • Direct sum of modules • Dual basis in a field extension • Elementary row operations • Examples of vector spaces • Finite dimensional von Neumann algebra • Flag (linear algebra) • Generalizations of Pauli matrices • Generalized eigenvector • Graded vector space • Homogeneous coordinates • Invariant subspace • Invariants of tensors • Inverse eigenvalues theorem • Lagrange's formula • Leibniz formula for determinants • Linear combination • Linear complex structure • Linear independence • Linear space • Main diagonal • Minimal polynomial • Normal basis • Null space • Null vector • Null vector (vector space) • Orientation (mathematics) • Orthogonal complement • Orthogonalization • Orthographic projection (geometry) • Orthonormality • Partial trace • Permanent • Polynomial basis • Pseudoscalar • Purification of quantum state • Quasinorm • Quotient space (linear algebra) • Rank-nullity theorem • Row and column spaces • Row equivalence • Row vector • Scalar (mathematics) • Scalar multiplication • Schur complement • Self-adjoint • Sesquilinear form • Shear (mathematics) • Similarity (geometry) • Spectral theory • Spinors in three dimensions • Standard basis • Sylvester's law of inertia • Symbolic computation of matrix eigenvalues • Trace (linear algebra) • Transformation matrix • Zech's logarithms •

Group theory (74)

Artin group • Bicommutant • Burnside's lemma • C closed subgroup • Category of abelian groups • Cayley graph • Cayley's theorem • Center (group theory) • Centralizer and normalizer • Characteristic subgroup • Circle group • Class automorphism • Class function • Commensurability (mathematics) • Commutant • Component (group theory) • Composition series • Conjugacy class • Conjugate closure • Conjugation of isometries in Euclidean space • Core (group) • Coset • Coset enumeration • Dihedral group • Discrete logarithm • Double coset • Even and odd permutations • Examples of groups • Family automorphism • Fixed points of isometry groups in Euclidean space • Frattini subgroup • Frattini's argument • Free group • Free product • Fundamental theorem of Galois theory • Galois group • Glossary of group theory • Group cohomology • Group homomorphism • Group object • HNN extension • Hamiltonian group • Herzog-Schönheim conjecture • Holomorph (mathematics) • IA automorphism • Imperfect group • Induced representation • Infinite conjugacy class property • Inner automorphism • Length function • Maximal subgroup • Molien series • Multiplicative group • Multiplicative group of integers modulo n • Normal core • Normal series • One-dimensional symmetry group • Outer automorphism group • P-compact group • Point groups in two dimensions • Power closed • Powerful p-group • Quaternion group • Quotient group • Semidirect product • Serre's property FA • Stability group • Strong generating set • Subgroup • Symmetry groups in one dimension • T-group • Unit (ring theory) • Weyl group • Zassenhaus lemma •

Abstract algebra (67)

*-algebra • Absorption law • Additive inverse • Algebraic extension • Algebraic independence • Algebraic number • Alternativity • Antihomomorphism • Antiisomorphic • Associativity • Binary function • Binary operation • Center (algebra) • Coimage • Cokernel • Commutativity • Cyclic permutation • Differential graded algebra • Dimension theorem for vector spaces • Direct limit • Dual basis in a field extension • Embedding • Formal derivative • Formal power series • Free object • Fundamental theorem on homomorphisms • GC-set • Graded algebra • Grothendieck group • Homological algebra • Hyperstructure • Idempotence • Intersection (set theory) • Inverse element • Inverse limit • Involution • Irreducible polynomial • Isomorphism class • Kernel (set theory) • Leibniz formula for determinants • Linear combination • Linear independence • Multiplicative group • Normal basis • Ordered exponential • Pairing • Planar ternary ring • Pointed set • Polarization of an algebraic form • Pseudogroup • Quotient module • Rng (algebra) • Row and column spaces • Scalar (mathematics) • Scalar multiplication • Self-adjoint • Semigroupoid • Semiring • Semisimple algebra • Simple (abstract algebra) • Supercommutative algebra • Tensor product • Unique factorization domain • Unital • Word problem (mathematics) • Zero divisor • Zero morphism •

Probability theory (58)

Algebra of random variables • Almost surely • An inequality on location and scale parameters • Bernoulli trial • Chebyshev's inequality • Chernoff bound • Chernoff's inequality • Coefficient of variation • Complementary event • Compound Poisson distribution • Concrete illustration of the central limit theorem • Conditional distribution • Conditional independence • Conditional probability • Continuity correction • Cumulative distribution function • Discrete probability distribution • Dynkin system • Elementary event • Game of chance • Geometric standard deviation • Glivenko-Cantelli class • Hoeffding's inequality • Independent and identically-distributed random variables • Infinite divisibility • Integration of the normal density function • Inverse probability • Law of averages • Law of total expectation • Law of total probability • Location parameter • Logmoment generating function • Marginal distribution • Markov blanket • Markov network • Markov's inequality • Memorylessness • Method of moments (probability theory) • Moment-generating function • Mutually exclusive events • Normally distributed and uncorrelated does not imply independent • Nuisance variable • Pairwise independence • Probabilistic encryption • Probability density function • Probability mass function • Rule of succession • Sample space • Scale parameter • Stein's lemma • Stieltjes moment problem • Subjectivism • Sunrise problem • Survival function • Taylor expansions for the moments of functions of random variables • Theorem of de Moivre–Laplace • Tsallis entropy • Unimodal function •

Mathematical terminology (47)

Absolutely irreducible • Abstract structure • Aliter • Almost • Almost surely • Ansatz • Arbitrarily large • Arithmetic and geometric Frobenius • Canonical form • Characterization (mathematics) • Classification problem • Complete set of invariants • Concurrent lines • Connectedness • Counterexample • Defined and undefined • Essentially unique • Function of a real variable • If and only if • Index (mathematics) • Infinite descent • Invariant (mathematics) • Kernel (mathematics) • Lexicographic product • Mathematical jargon • Modulo • Modulo (jargon) • Parameter • Permille • Plugging in (algebra) • Pointwise • Postulate • Proportionality (mathematics) • Quotition • Reductio ad absurdum • Rigid • Sides of an equation • Strict • Sufficiently large • Theorem • Toy model • Toy theorem • Transport of structure • Trivial (mathematics) • Up to • Well-behaved • Well-defined •

Geometry (41)

Ambient space • Analytic geometry • Antiparallel • Archimedes' use of infinitesimals • Birational geometry • Chirality (mathematics) • Coaxial • Codimension • Complex line • Direction (geometry, geography) • Fundamental plane (spherical coordinates) • General position • Homogeneous space • Horizontal plane • Incidence geometry (structure) • Incidence structure • Integral geometry • Isometry • Mathomat • Meander (mathematics) • Orientation (mathematics) • Planar • Point groups in two dimensions • Polar distance (geometry) • Position vector • Quasiconformal mapping • Regular Division of the Plane • Scaling (geometry) • Small-angle approximation • Solid angle • Sphere-world • Superspace • Surface area • Synthetic geometry • The Geometry Center • Transformation (mathematics) • Transformation geometry • Transversality • Unit square • Vector area • Vertical direction •

Stochastic processes (39)

Abstract Wiener space • Adapted process • Bertrand's ballot theorem • Brownian bridge • Brownian tree • Clark-Ocone theorem • Continuous-time Markov process • Diffusion process • Dissociated press • Doob martingale • Finite-dimensional distribution • Fractional Brownian motion • Gaussian measure • Gauss–Markov process • H-derivative • Hitting time • Jackson network • Kolmogorov backward equation • Lag operator • Law (stochastic processes) • Lévy process • Malliavin derivative • Markov chain geostatistics • Markov property • Mixing (mathematics) • Natural filtration • Non-homogeneous Poisson process • Paley-Wiener integral • Path space • Point process • Population process • Quadratic variation • Queueing model • Sample continuous process • Semi-Markov process • Stationary process • Stopped process • Stopping rule • Time reversibility •

Control theory (37)

Angle condition • Anticausal system • Asymptotic stability • Bang-bang control • Bilinear transform • Closed-loop pole • Control system • Control-Lyapunov function • Controllability • Controller (control theory) • Deadband • Digital control • Discretization • Dual control theory • Frequency response • Full state feedback • Gain scheduling • Higher-order control • Impulse response • Input shaping • Intelligent control • Kalman-Yakubovich-Popov lemma • Magnitude condition • Marginal stability • Mason's rule • Minimum energy control • Motion control • Nichols plot • Observability • Proper transfer function • Robust control • Singular control • State observer • Strictly proper • Time-invariant system • Time-variant system • Transfer function •

Ring theory (37)

Algebra (ring theory) • Artin–Wedderburn theorem • Azumaya algebra • Boolean ring • Classification of Clifford algebras • Commutative ring • Domain (ring theory) • Example of a non-associative algebra • Filtered algebra • Formal power series • Glossary of ring theory • Height (ring theory) • Integral domain • Invariant basis number • Modular representation theory • Monoid ring • Noetherian ring • Order (ring theory) • Polynomial ring • Prime ring • Primitive ring • Principal ideal ring • Product of rings • Quaternion algebra • Ring (mathematics) • Ring homomorphism • Ring of integers • Rng (algebra) • Semiring • Severi-Brauer variety • Symmetric algebra • Tensor product of algebras • Total quotient ring • Unique factorization domain • Unit (ring theory) • Universal enveloping algebra • Zero divisor •

Algebraic topology (36)

Abstract simplicial complex • Adams operation • Alexander duality • Alexander-Spanier cohomology • Associated bundle • Barycentric subdivision • Betti number • Chain (algebraic topology) • Chern-Simons form • Classifying space • Cohomology • Cohomology operation • Combinatorial topology • Degree (mathematics) • Degree of a continuous mapping • Free product • Fundamental group • Genus (mathematics) • Homological algebra • Homology theory • Hurewicz theorem • Künneth theorem • Local coefficients • Mapping cylinder • Massey product • Morava K-theory • N-skeleton • Pair of spaces • Real projective space • Riemann-Hurwitz formula • Sheaf cohomology • Simplicial approximation theorem • Simplicial complex • Solenoid (mathematics) • Swan's theorem • Timelike simply connected •

General topology (35)

Axiom of countability • Clopen set • Closed set • Closure (topology) • Compact-open topology • Compactly generated space • Comparison of topologies • Cover (topology) • Directed set • Disjoint union (topology) • Embedding • Epsilon-neighborhood • Excluded point topology • Finite topology • First-countable space • G-delta set • Generic point • Gluing axiom • Irreducible component • Katetov-Tong insertion theorem • Local homeomorphism • Mapping torus • Metrization theorem • N-connected • N-skeleton • Neighbourhood system • Noetherian topological space • Open and closed maps • Pair of spaces • Point finite collection • Popcorn function • Scott continuity • Separable space • Topology glossary • Zariski topology •

Number theory (34)

Abelian variety of CM-type • Abouabdillah's theorem • Algebraic number • Base conversion divisibility test • Class number formula • Coprime • De Polignac's formula • Eisenstein's theorem • Euclid's lemma • Faltings' theorem • Goldbach's comet • Grothendieck–Katz p-curvature conjecture • Hilbert's irreducibility theorem • Hyperfactorial • Integer-valued polynomial • Kronecker symbol • Lagrange's theorem (number theory) • Linear congruence theorem • Local analysis • Möbius transform • P-adic division algorithm • Prime geodesic • Proof of weak Scholz conjecture • Proofs of Fermat's little theorem • Q-Vandermonde identity • Remainder • Semistable elliptic curve • Solitary number • Square-free integer • Sum-free sequence • Sumset • Unique factorization domain • Weil-Châtelet group • Zsigmondy's theorem •

Statistics (34)

Analysis of categorical data • Base rate • Binary classification • Climate ensemble • Combinatorial meta analysis • Convex combination • Craps principle • Dutch book • Engineering statistics • Frequency (statistics) • Geometric standard deviation • Gravity (social science methodology) • Halton sequence • Latent variable model • Lexis ratio • Linear model • Maximum term method • Nominal category • Nuisance variable • Optimal matching • Planning statistical research • Post-hoc analysis • Proper orthogonal decomposition • Rasch model estimation • Reversible jump • Sample size • Shrinkage (statistics) • Spatial analysis • Spearman-Brown prediction formula • Statistical methodology analysis reporting technique • Statistical phenomena • Statistical regularity • Statistical syllogism • Trispectrum •

Differential geometry (33)

Associated bundle • Bitangent • Cartan's equivalence method • Chern-Simons form • Conformal geometry • Constant curvature • Covariant transformation • Curves in differential geometry • Darboux vector • Differential geometry of curves • Directional derivative • Embedding • Flag manifold • Fundamental theorem of curves • Generalized Gauss-Bonnet theorem • Glossary of differential geometry and topology • Horizontal space • Maurer-Cartan form • Moving frame • Osculating circle • P-vector • Prime geodesic • Projective differential geometry • Pseudogroup • Real projective space • Schwarz–Ahlfors–Pick theorem • Tangent space • Taut submanifold • Tensor field • Theorema Egregium • Torsion of connection • Torsion of curves • Weitzenböck identity •

Polynomials (33)

Algebraic equation • Algebraic set • All one polynomial • Characteristic polynomial • Degree of a polynomial • Delta operator • Descartes' rule of signs • Equally spaced polynomial • Factor theorem • Fibonacci polynomials • Gauss's lemma (polynomial) • Hilbert's irreducibility theorem • Integer-valued polynomial • Irreducible polynomial • Minimal polynomial • Minimal polynomial (field theory) • Minimal polynomial (linear algebra) • Monomial order • Padovan polynomials • Polynomial long division • Polynomial remainder theorem • Polynomial ring • Polynomial sequence • Quadratic polynomial • Quartic function • Separable polynomial • Square-free polynomial • Stability radius • Sturm's theorem • Symmetric algebra • Symmetric function • Touchard polynomials • Tschirnhaus transformation •

Algebra (32)

Algebra homomorphism • Algebraic element • Algebraic extension • Algebraic number • Alternatization • Binary operation • Binomial • Canonical form • Closed-form expression • Cycle (mathematics) • Degree (mathematics) • Generalized arithmetic progression • Indeterminate (variable) • Intersection (set theory) • Inverse element • Irreducible polynomial • Kernel (algebra) • Kernel (set theory) • Monomial • Multinomial theorem • Operand • Operation theory • Pairing • Partial fraction decomposition • Permanent • Plugging in (algebra) • Ratio • Square (algebra) • Symmetric difference • Transforming polynomials • Unital • Variable •

Field theory (32)

Algebraic closure • All one polynomial • Change of bases • Conjugate element (field theory) • Construction of splitting fields • Dual basis in a field extension • Equally spaced polynomial • Field norm • Field of fractions • Field trace • Formally real field • Fundamental theorem of Galois theory • Galois group • Global field • Glossary of field theory • Grothendieck's Galois theory • Kummer theory • Minimal polynomial • Minimal polynomial (field theory) • Multiplicative group • Norm form • Normal basis • P-adic division algorithm • Polynomial basis • Primitive element theorem • Quadratic field • Rational variety • Separable polynomial • Tensor product of fields • Totally real number field • Transcendence degree • Tschirnhaus transformation •

Functional analysis (32)

Bounded set • Compact convergence • Constructive quantum field theory • Continuous linear operator • Continuous wavelet • Dual pair • Eigenfunction • F-space • Hellinger–Toeplitz theorem • Marcinkiewicz theorem • Measure of non-compactness • Minkowski functional • Mollifier • Multiplication operator • Open mapping theorem • Orthogonal complement • Orthogonal projection • Orthonormality • Partial trace • Polarization identity • Positive element • Positive linear functional • Quotient space (linear algebra) • Riesz sequence • Riesz's lemma • Sequence space • Sesquilinear form • Spectral theory of compact operators • Uniform norm • Unit sphere • Weak derivative • Weight function •

Algebraic geometry (31)

Addition theorem • Adjunction formula (algebraic geometry) • Algebraic set • Ample vector bundle • Analytic geometry • Arithmetic and geometric Frobenius • Arithmetic group • Chow ring • Codimension • Complete intersection • Complex dimension • Deformation theory • Descent (category theory) • Differential of the first kind • Family of curves • Finite morphism • Generalized Jacobian • Generalized Riemann hypothesis • Generic point • Homogeneous polynomial • Homological algebra • Hyperplane section • Inverse image functor • Irreducible component • Kodaira embedding theorem • Kähler differential • Mysterious duality • Nakai conjecture • Noetherian topological space • Pluricanonical ring • Toric geometry •

Algebraic curves (31)

Ampersand curve • Bean curve • Bicorn • Bicuspid curve • Bitangent • Bow curve • Bullet-nose curve • Clifford's theorem • Crooked egg curve • Cruciform curve • Deltoid curve • Epicycloid • Faltings' theorem • Fermat curve • Folium of Descartes • Genus (mathematics) • Global field • Gonality of an algebraic curve • Lemniscate of Bernoulli • Limaçon • Nagata's conjecture on curves • Plücker formula • Projective line • Prym variety • Quadrifolium • Riemann-Hurwitz formula • Symmetric product of an algebraic curve • Theta-divisor • Torelli theorem • Watt's curve • Weierstrass point •

Graph theory (31)

1-factorable • Adjacent vertex • Assignment problem • Book (graph theory) • Book embedding • Boxology • Cayley's formula • Clique (graph theory) • Col game • Connected dominating set • Connectivity (graph theory) • Cycle (graph theory) • Degree (mathematics) • Degree matrix • Discrete Laplace operator • Distance (graph theory) • Graph invariant • Graph isomorphism • Graph morphism • HyperbolicTree • Incidence geometry (structure) • Incidence matrix • Kempe chain • Level structure • Operations on graphs • Ore's theorem • Saturation (graph theory) • Seven Bridges of Königsberg/key • Small world routing • Unidirectional • Voltage graph •

Curves (29)

Ampersand curve • Areal velocity • Bean curve • Bicorn • Bicuspid curve • Bow curve • Bullet-nose curve • Cruciform curve • Curve-fitting compaction • Curves in differential geometry • Deltoid curve • Differential geometry of curves • Epicycloid • Folium of Descartes • Fundamental theorem of curves • Hypocycloid • Isogonal trajectory • Lemniscate of Bernoulli • Limaçon • Lituus • Ogive • Oval (geometry) • Quadrifolium • Rhodonea curve • Semicubical parabola • Superformula • Torsion of curves • Transcendental curve • Watt's curve •

Lie groups (29)

Cartan decomposition • Cartan's theorem • Circle group • Clifford-Klein form • Compact group • Continuous symmetry • Euclidean group • Glossary of semisimple groups • Homogeneous space • Improper rotation • Lattice (group) • Lie group decompositions • Lie theory • Maurer-Cartan form • Maximal compact subgroup • Maximal torus • One-parameter group • P-compact group • Poincaré group • Projective linear group • Projective unitary group • Pseudogroup • Rotation group • Segal-Shale-Weil distribution • Simple Lie group • Symplectic group • Unitary group • Vector flow • Weyl group •

Measure theory (28)

Abstract Wiener space • Atom (measure theory) • Ba space • Cameron-Martin theorem • Clark-Ocone theorem • Conull set • Dominated convergence theorem • Essential supremum and essential infimum • Finite-dimensional distribution • H-derivative • Hahn-Kolmogorov theorem • Lebesgue's decomposition theorem • Logarithmically-spaced Dirac comb • Luzin's theorem • Measure zero • Null set • Positive and negative sets • Radonifying function • Regularity theorem for Lebesgue measure • Separable sigma algebra • Sigma additivity • Sigma-algebra • Structure theorem for Gaussian measures • There is no infinite-dimensional Lebesgue measure • Universally measurable set • Vitali set • Vitali–Hahn–Saks theorem • Weight function •

Basic concepts in set theory (28)

Binary set • Choice function • Codomain • Complement (set theory) • Disjoint sets • Disjoint union • Domain (mathematics) • Element (mathematics) • Empty function • Function (set theory) • Function composition • Horizontal line test • Identity function • Image (mathematics) • Inclusion map • Index set • Injective function • Intersection (set theory) • Inverse function • Map (mathematics) • Non-empty set • Pointed set • Projection (set theory) • Range (mathematics) • Simple theorems in the algebra of sets • Subset • Surjective function • Symmetric difference •

Mathematical analysis (28)

Asymptote • Bounded function • Bounded set • Cauchy principal value • Concave function • Convergence tests • Convergent (continued fraction) • Convex combination • Function of a real variable • Fundamental recurrence formulas • Grunwald-Letnikov differintegral • Half iterate • Helly's selection theorem • Hyperbolic growth • Indeterminate form • Infinite product • Interchange of limiting operations • Lebesgue point • Mathematical singularity • Maxima and minima • Negligible set • Non-classical analysis • Normal convergence • Riemann-Liouville differintegral • Stieltjes moment problem • Weight function • Weighted geometric mean • Whitney extension theorem •

Dynamical systems (28)

Analytical mechanics • Asymptotic stability • Autonomous system (mathematics) • Chetayev instability theorem • D'Alembert's principle • Dissipation • Distribution function • Entrainment (physics) • Expansive • Exponential dichotomy • Heteroclinic network • Hilbert's sixteenth problem • Intermittency • Invariant measure • Linearization • Marginal stability • Oscillating reciprocation • Prime geodesic • Quasi-invariant measure • Quasiperiodic motion • Reciprocation • Rotary reciprocation • Rotational-vibrational coupling • Structural stability • Time evolution • Topological conjugacy • Universality (dynamical systems) • Virtual displacement •

Topology (27)

Ambient space • Ball (mathematics) • Band sum • Boundary component • Compactification (mathematics) • Contractible space • Cover (topology) • Descent (category theory) • Full set (topology) • Genus (mathematics) • Hilbert-Smith conjecture • Kernel (set theory) • Limit (mathematics) • Lindelöf's lemma • Normal space • Path (topology) • Pointed space • Regular space • Seven Bridges of Königsberg/key • Simplicial complex • Smash product • Star refinement • Support (mathematics) • T1 space • Topology glossary • Unit interval • Wedge sum •

Riemannian geometry (27)

Bishop–Gromov inequality • Christoffel symbols/Proofs • Constant curvature • Curvature of Riemannian manifolds • Fermi coordinates • Fundamental theorem of Riemannian geometry • Gauss-Codazzi equations • Gauss-Codazzi equations (relativity) • Geodesic curvature • Geodesic manifold • Glossary of Riemannian and metric geometry • Hodge theory • Kretschmann scalar • Musical isomorphism • Parallel transport • Pseudo-Riemannian manifold • Riemann curvature tensor • Riemannian submersion • Scalar curvature • Schouten tensor • Sectional curvature • Theorema Egregium • Torsion of connection • Uniformization theorem • Unit tangent bundle • Vector flow • Weyl tensor •

Projective geometry (27)

3D projection • Circular points at infinity • Collineation • Complex projective plane • Complex projective space • Duality (projective geometry) • Fano plane • Fubini-Study metric • Homogeneous coordinates • Imaginary line • Imaginary point • Incidence (geometry) • Isotropic line • Maximal arc • Orthogonal projection • Ovoid (projective geometry) • Plane at infinity • Point at infinity • Projective differential geometry • Projective frame • Projective line • Projective linear group • Quadric (projective geometry) • Quaternionic projective space • Real point • Real projective space • Translation plane •

Lemmas (27)

Burnside's lemma • Closed and exact differential forms • Covering lemma • Dynkin system • Euclid's lemma • Fitting lemma • Five lemma • Frattini's argument • Gauss's lemma (number theory) • Gauss's lemma (polynomial) • Grönwall's inequality • Kalman-Yakubovich-Popov lemma • Knaster-Kuratowski-Mazurkiewicz lemma • Lebesgue's lemma • Lindelöf's lemma • Littlewood-Offord problem • Noether normalization lemma • Open and closed maps • Riesz's lemma • Sard's lemma • Shephard's lemma • Short five lemma • Snake lemma • Splitting lemma • Stewart-Walker lemma • Yoneda lemma • Zassenhaus lemma •

Order theory (27)

Ascending chain condition • Atomic (order theory) • Bounded complete poset • Bourbaki–Witt theorem • Chain complete • Complete Boolean algebra • Countable chain condition • Directed set • Duality (order theory) • Embedding • Extreme value • Hausdorff maximal principle • Infinite descending chain • Infinite divisibility • Join (mathematics) • Lexicographical order • Limit-preserving function (order theory) • Maximal element • Meet (mathematics) • Order-embedding • Preorder • Prime (order theory) • Scott continuity • Strong antichain • Supermodular • Upper and lower bounds • Well-order •

Homological algebra (26)

Cohomology • De Rham-Weil theorem • Derived functor • Differential graded category • Exact functor • Exact sequence • Filtered algebra • Five lemma • Gluing axiom • Grothendieck group • Group cohomology • Hilbert's syzygy theorem • Homological algebra • Homological conjectures in commutative algebra • Invariant basis number • Künneth theorem • Projective module • Projective object • Severi-Brauer variety • Sheaf cohomology • Short five lemma • Snake lemma • Splitting lemma • Tensor product of modules • Topological half-exact functor • Tor functor •

Binary operations (26)

Alternativity • Associativity • Band sum • Binary operation • Circular convolution • Commutativity • Complement (set theory) • Cup product • Discrete logarithm • If and only if • Intersection (set theory) • Inverse element • Join (mathematics) • Logical biconditional • Meet (mathematics) • Minkowski addition • Pointwise product • Power associativity • Product of rings • Semidirect product • Smash product • Symmetric difference • Tensor product • Tensor product of modules • Tor functor • Wedge sum •

Commutative algebra (26)

Algebra (ring theory) • Ascending chain condition • Commutative ring • Complete intersection • Discrete valuation • Dual number • Field of fractions • Hilbert's syzygy theorem • Homological conjectures in commutative algebra • Ideal theory • Integral domain • Integrality • Invariant basis number • Krull dimension • Kähler differential • Lasker–Noether theorem • Noether normalization lemma • Polynomial ring • Primary ideal • Principal ideal domain • Regular sequence (algebra) • Serre's multiplicity conjectures • Swan's theorem • Tensor product of algebras • Total quotient ring • Weierstrass preparation theorem •

Category theory (24)

Auto magma object • Cartesian morphism • Cokernel • Comma category • Descent (category theory) • Discrete category • Dual (category theory) • F-algebra • Filtered category • Glossary of category theory • Graded category • Grothendieck's Galois theory • Grothendieck's relative point of view • Image (category theory) • Initial algebra • Injective cogenerator • Karoubi envelope • Kernel (category theory) • Morphism • Quotient category • Sieve (category theory) • Structure (category theory) • Yoneda lemma • Zero morphism •

Complex analysis (24)

Analytic continuation • Antiholomorphic function • Branch point • Cartan's theorems A and B • De Moivre's formula • Doubly-periodic function • Essential singularity • Fundamental recurrence formulas • Holomorphic function • Holomorphic sheaf • Holomorphically separable • Lacunary value • Logarithmic derivative • Movable singularity • Open mapping theorem • Polynomial function theorems for zeros • Principal value • Quasiperiodic function • Regular part • Removable singularity • Schwarz reflection principle • Siegel upper half-plane • Value distribution theory of holomorphic functions • Weierstrass–Casorati theorem •

Proofs (23)

Cayley's theorem • Closed-form expression • Combinatorial proof • De Moivre's formula • Existence theorem • Fundamental theorem of Riemannian geometry • Infinite descent • Leibniz formula for determinants • Minimal counterexample • Nonconstructive proof • Proof by exhaustion • Proof by verbosity • Proof of Bertrand's postulate • Proof of the Euler product formula for the Riemann zeta function • Proof of weak Scholz conjecture • Proof that Boolean satisfiability problem is NP-complete • Proofs of Fermat's little theorem • Pythagoras's theorem proof (rational trigonometry) • Pythagorean trigonometric identity • Reductio ad absurdum • Single-sideband modulation/Proofs • Triple quad formula proof • Viète formula •

Symmetry (23)

Centrosymmetry • Chirality (mathematics) • Circular symmetry • Commutativity • Conformal symmetry • Conserved current • Continuous symmetry • Cyclic symmetries • Dihedral symmetry in three dimensions • Icosahedral symmetry • Inversion transformation • Isometries in physics • Isometry • Octahedral symmetry • One-dimensional symmetry group • P-compact group • Poincaré group • Symmetric group • Symmetric relation • Symmetry groups in one dimension • Symmetry in mathematics • Tetrahedral symmetry • Transformation geometry •

Real analysis (22)

Cauchy product • Compact convergence • Construction of real numbers • Continuity property • Dini derivative • Dominated convergence theorem • Fundamental axiom of analysis • How to evaluate the limit of a real-valued function • Integrable function • Interleave sequence • Least upper bound axiom • Limit (mathematics) • Littlewood's three principles of real analysis • Luzin's theorem • Nested intervals • Oscillation (mathematics) • Path space • Piecewise linear function • Pointwise convergence • Support (mathematics) • Vanish at infinity • Wiener's tauberian theorem •

Functions and mappings (22)

Angle of parallelism • Antilinear map • Codomain • Domain (mathematics) • Function composition • Graph of a function • Identity function • Injective function • Inverse function • Isometry • Map (mathematics) • Morphism • Range (mathematics) • Real matrices (2 x 2) • Root (mathematics) • Rotation (mathematics) • Rotation of axes • Scaling (geometry) • Shear (mathematics) • Steiner's problem • Surjective function • Transformation (mathematics) •

Mathematical notation (22)

Derivative (examples) • Greek letters used in mathematics • Hatch mark • Index notation • Index set • Internet shorthand notation • Juxtaposition • Kronecker delta • Large numbers • Leibniz notation • Leibniz's notation for differentiation • Newton's notation • Newton's notation for differentiation • Operand • Parametric operator • Pomega • Roman letters used in mathematics • Set-builder notation • Small number • Table of logic symbols • Typographical conventions in mathematical formulae • Voigt notation •

Differential topology (21)

Associated bundle • Atlas (topology) • Band sum • Canonical coordinates • Current (mathematics) • Embedding • Glossary of differential geometry and topology • Hairy ball theorem • Horizontal space • Inverse function theorem • Massey product • Orientability • Riemann-Roch theorem for smooth manifolds • Stunted projective space • Swan's theorem • Tangent space • Tensor field • Transversality • Unit tangent bundle • Vector flow • Whitney embedding theorem •

Algebraic varieties (21)

Branched covering • Canonical bundle • Complete algebraic variety • Complex projective space • Degree of an algebraic variety • Diagonal form • Dimension of an algebraic variety • Function field of an algebraic variety • Hilbert's Nullstellensatz • Irreducible component • Local zeta-function • Noether normalization lemma • Quasiprojective variety • Rational function • Rational variety • Seshadri constant • Severi-Brauer variety • Singular point of an algebraic variety • Theorem of the cube • Transcendence degree • Zariski topology •

Matrices (21)

Binary matrix • Block matrix • Cartan matrix • Column vector • Companion matrix • Fock matrix • Generalized permutation matrix • Hermitian matrix • Hessian matrix • Incidence matrix • Involutary matrix • Matrix equivalence • Montante's method • Mueller calculus • Normal matrix • Pentadiagonal matrix • Row vector • Similar matrix • Skew-Hermitian matrix • Transformation matrix • Zero matrix •

Numeration (20)

Bi-quinary coded decimal • Brahmi numeral • Chuvash numerals • Counter • Cyrillic numerals • Cyrillic thousands sign • Decimal separator • Decimal superbase • Eastern Arabic numerals • Elias delta coding • Elias gamma coding • Elias omega coding • European numerals • Excess-3 • Exponential-Golomb coding • Glyphs used with the Hindu-Arabic numeral system • Levenshtein coding • Number names • Radix point • Table of bases •

Differential calculus (20)

Chain rule • Constant factor rule in differentiation • Derivative of a constant • Differentiation under the integral sign • Dini derivative • H-derivative • Inverse functions and differentiation • Leibniz's notation for differentiation • Linear approximation • Linearity of differentiation • Linearization • Logarithmic derivative • Malliavin derivative • Parametric derivative • Product rule • Quotient rule • Reciprocal rule • Sum rule in differentiation • Table of derivatives • Techniques for differentiation •

Geometric topology (20)

Alexander's trick • Barycentric subdivision • Boundary parallel • Branched surface • Closed surface • Codimension • Genus (mathematics) • Handle (mathematics) • Handle decomposition • Handlebody • Manifold decomposition • Mapping class group • Mapping torus • Nielsen realization problem • PDIFF • Real projective plane • Signature (topology) • Spherical space form conjecture • Surface bundle • Tubular neighborhood •

Operator theory (20)

Bounded operator • Closed operator • Compact operator • Discrete Laplace operator • Fuglede's theorem • Hamiltonian (quantum mechanics) • Hermitian adjoint • Invariant subspace • Kuiper's theorem • Nest algebra • Normal operator • Operator (physics) • Operator algebra • Operator norm • Orthogonal projection • Partial isometry • S-number • Subnormal operator • Unitary operator • Volterra operator •

Calculus (19)

Archimedes' use of infinitesimals • Binomial series • Cauchy's convergence test • Curve transformation • Dynamic equations on time scales • Evaluating sums • Extreme value • Finding the centroid • Geometric progression • Integration by substitution • Leibniz integral rule • Leibniz notation • Limit (mathematics) • Maxima and minima • Piecewise • Popcorn function • Related rates • Table of limits • Viète formula •

Homotopy theory (19)

Andreotti–Frankel theorem • Brown's representability theorem • Classifying space • Compactly generated space • Contractible space • Fundamental group • Homotopy • Homotopy category • Homotopy group • Hurewicz theorem • Path (topology) • Pointed space • Smash product • Spanier-Whitehead duality • Spectrum (homotopy theory) • Stunted projective space • Timelike simply connected • Topological half-exact functor • Weak equivalence •

Inequalities (19)

An inequality on location and scale parameters • Bernoulli's inequality • Bessel's inequality • Binet-Cauchy identity • Bishop–Gromov inequality • Chebyshev's inequality • Chebyshev's sum inequality • Chernoff's inequality • Grönwall's inequality • Hadamard's inequality • Hoeffding's inequality • Ky Fan inequality • Markov's inequality • Newton's inequalities • Rearrangement inequality • Schur's inequality • Singleton bound • Wirtinger's inequality • Young's inequality •

Complex manifolds (19)

Andreotti–Frankel theorem • Branched covering • Coherent sheaf • Compact Riemann surface • Complex dimension • Complex manifold • Complex projective plane • Complex projective space • Complex torus • Differential of the first kind • Dolbeault cohomology • Exponential sheaf sequence • Fubini-Study metric • Generalized Jacobian • Hodge theory • Kodaira embedding theorem • Pluricanonical ring • Serre duality • Torelli theorem •

Euclidean geometry (18)

Abouabdillah's theorem • Disk (mathematics) • Integer lattice • Intersection of a polyhedron with a line • Inversion in a point • Minkowski addition • One-dimensional symmetry group • Orientation (geometry) • Orientation (rigid body) • Orthant • Orthographic projection (geometry) • Rotation of axes • Shape dissection • Similarity (geometry) • Square lattice • Symmetry groups in one dimension • Triangulation • Trilateration •

Subgroup properties (18)

Abnormal subgroup • C closed subgroup • Central subgroup • Centrally closed subgroup • Characteristic subgroup • Component (group theory) • Fully characteristic subgroup • Hall subgroup • Malnormal subgroup • Maximal subgroup • Modular subgroup • Paranormal subgroup • Pronormal subgroup • Pure subgroup • SA subgroup • Subgroup • Subnormal subgroup • Transitively normal subgroup •

Elementary mathematics (18)

Abstraction (mathematics) • Arg max • Constant • Degeneracy (mathematics) • Distinct • Graph of a function • Identifiability condition • Identity function • Magnitude (mathematics) • Number line • Open sentence • Operation (mathematics) • Point plotting • Roman letters used in mathematics • Root (mathematics) • Slope • Variable • Y-intercept •

Statistical theory (17)

Accuracy and precision • Ancillary statistic • Association (statistics) • Completeness (statistics) • Data point • Efficiency (statistics) • Loss function • Parameter space • Parametric model • Statistic • Statistical assumption • Statistical inference • Statistical model • Statistical parameter • Statistical theory • Sufficiency (statistics) • Variable •

Permutations (17)

(p,q) shuffle • Cayley's theorem • Cycle (mathematics) • Cycle notation • Cycles and fixed points • Cyclic permutation • Even and odd permutations • Generalized permutation matrix • Ghost Leg • Identical particles • Mantel test • Parastatistics • Permanent • Permutation cipher • Subfactorial • Symmetric function • Transposition cipher •

Numerical analysis (16)

Approximation • Arithmetic precision • Basis function • Clenshaw algorithm • Constructions of low-discrepancy sequences • Continuous wavelet • Discretization • Lebedev grid • Linear approximation • Loss of significance • Orders of approximation • Pidgin code • Pseudo-spectral method • Radial basis function • Secular equation • Termination •

Continuous distributions (17)

Chi distribution • Exponential power distribution • Fano resonance • Fisher-Tippett distribution • Hyperbolic distribution • Inverse-chi-squared distribution • Inverse-gamma distribution • Matrix normal distribution • Noncentral chi distribution • Raised cosine distribution • Rayleigh distribution • Scaled-inverse-chi-squared distribution • Sum of normally distributed random variables • Type-2 Gumbel distribution • Uniform distribution (continuous) • Voigt profile • Wishart distribution •

Factorial and binomial topics (17)

Binomial series • De Polignac's formula • Factorial moment • Factorial moment generating function • Generalized Pochhammer symbol • Lah number • Mahler's theorem • Multinomial distribution • Multinomial theorem • Negative binomial distribution • Newton polynomial • Pochhammer symbol • Proof of Bertrand's postulate • Subfactorial • Trinomial expansion • Vandermonde's identity • Wilson's theorem •

Multilinear algebra (17)

Bilinear operator • Binet-Cauchy identity • Definite bilinear form • Exterior algebra • Glossary of tensor theory • Homogeneous polynomial • Lagrange's identity • Multilinear algebra • Multilinear form • Multilinear map • Multiple cross products • Symmetric algebra • Tensor algebra • Tensor field • Tensor product • Tensor product of algebras • Tensor product of modules •

Algebraic number theory (17)

Adelic algebraic group • Arithmetic and geometric Frobenius • Biquadratic field • Class number problem for imaginary quadratic fields • Dedekind zeta function • Different ideal • Discriminant of an algebraic number field • Field norm • Galois module • Global field • Group cohomology • Ideal class group • Kummer theory • Landau prime ideal theorem • Newton polygon • Quadratic field • Totally real number field •

Combinatorics (17)

Automatic sequence • Bertrand's ballot theorem • Block walking • Combinatorial proof • Covering problem • Crazy dice • Cyclic order • Double counting (proof technique) • Enumeration • Fibonacci word • Formal power series • Generalized arithmetic progression • Incidence matrix • Incidence structure • Littlewood-Offord problem • Squarefree word • Sum-free sequence •

Topological groups (17)

Adelic algebraic group • Amenable group • Bohr compactification • Circle group • Compact group • Compactly generated group • Discrete group • Free regular set • Homogeneous space • Kronecker's theorem • Locally compact group • Loop group • Maximal compact subgroup • Non-commutative harmonic analysis • One-parameter group • Restricted product • Solenoid (mathematics) •

Logic (17)

Canonical form • Comparability • Counterexample • If and only if • Inverse relation • Logical biconditional • Matrix (logic) • Mutually exclusive events • Parametric operator • Pramāṇa-samuccaya • Reflexive relation • Relation reduction • Relative term • Statistical syllogism • Table of logic symbols • Triadic relation • Zeroth-order logic •

Duality theories (16)

Alexander duality • Alexander-Spanier cohomology • Coherent duality • Dual (category theory) • Dual pair • Duality (electrical engineering) • Duality (order theory) • Duality (projective geometry) • Mysterious duality • Non-commutative harmonic analysis • Poincaré duality • Reflexive space • S-duality • Serre duality • Spanier-Whitehead duality • T-duality •

Measures (measure theory) (16)

Borel measure • Carleson measure • Complete measure • Counting measure • Dirac measure • Ergodic measure • Gaussian measure • Invariant measure • Lebesgue measure • Product measure • Pushforward measure • Quasi-invariant measure • Resource bounded measure • Sigma-finite measure • Strictly positive measure • Trivial measure •

Partial differential equations (16)

Chaplygin's equation • Conserved current • Diffusion equation • Examples of boundary value problems • Fundamental solution • H-principle • Hasegawa-Mima equation • Kolmogorov backward equation • Kuramoto model • Lamm equation • Large eddy simulation • Newtonian potential • Particle in a spherically symmetric potential • Screened Poisson equation • Shallow water equations • Viscosity solution •

Ordinary differential equations (16)

Cauchy-Euler equation • Chebyshev equation • Clairaut's equation • Exact differential equation • Examples of boundary value problems • Frobenius method • Grothendieck–Katz p-curvature conjecture • Growth curve • Inseparable differential equation • Integrating factor • Laser diode rate equations • Method of variation of parameters • Movable singularity • Ordered exponential • Power series method • Sturm-Picone comparison theorem •

Tensors (16)

Application of tensor theory in engineering • Camino (diffusion MRI toolkit) • Characteristic polynomial • Covariant transformation • Dyadic product • Dyadic tensor • Glossary of tensor theory • Invariants of tensors • Kronecker delta • P-vector • Reynolds stresses • Schouten tensor • Stewart-Walker lemma • Tensor (intrinsic definition) • Two-vector • Voigt notation •

Optimization (16)

Algebraic modeling language • Database tuning • Demand Optimization • Descent direction • Dual cone • Global optimum • Job-shop problem • Lagrange duality • Lagrangian relaxation • MPS (format) • Maxima and minima • Simplex algorithm method • Single machine scheduling • Steiner's problem • Stigler diet • Trajectory optimization •

Matrix theory (16)

Bidiagonalization • Binomial inverse theorem • Change of basis • Elementary matrix transformations • Freivald's algorithm • Jacobi's formula • Laplace expansion • Logarithm of a matrix • Matrix decomposition • Matrix unit • Minimal polynomial (linear algebra) • Minor (linear algebra) • Permanent • Submatrix • Sylvester's law of inertia • Trace (linear algebra) •

Quantum field theory (15)

Anomalous scaling dimension • Bose–Einstein statistics • Constructive quantum field theory • Dirac operator • Effective action • Fano resonance • Fermi–Dirac statistics • Feynman graph • Fock space • Noncommutative quantum field theory • Parastatistics • Poincaré group • Representation theory of the Poincaré group • S-duality • Topological quantum number •

Finite groups (15)

Alternating group • Cyclic group • Dicyclic group • Dihedral group • Finite group • Hall subgroup • Icosahedral symmetry • Klein four-group • Lagrange's theorem (group theory) • Multiplicative group of integers modulo n • Octahedral symmetry • Quasidihedral group • Quaternion group • Tetrahedral symmetry • Trivial group •

Properties of groups (15)

Arithmetic group • Artin group • Cyclic group • Dihedral group • Finite group • Free abelian group • Free group • Hamiltonian group • Imperfect group • M group • Metanilpotent group • Nilpotent group • Powerful p-group • Simple group • T-group •

Elementary geometry (15)

AA postulate • Angular diameter • Apollonius' theorem • Circumscribe • Concurrent lines • Confocal • Golden angle • Leg (geometry) • Line-plane intersection • Locus (mathematics) • Pascal's Mystic Hexagram • Plane–sphere intersection • Triangulation • Trilateration • Vertical translation •

Mathematical relations (15)

Antisymmetric relation • Asymmetric relation • Binary relation • Comparability • Cyclic order • Dependence relation • Equivalence class • Inverse relation • Reflexive relation • Relation construction • Relation reduction • Symmetric relation • Total relation • Transitive closure • Triadic relation •

Integral calculus (15)

Arbitrary constant of integration • Constant factor rule in integration • Differentiation under the integral sign • Disc integration • Disk integration • Essential supremum and essential infimum • Lebesgue's decomposition theorem • Linearity of integration • Nonelementary integral • Product measure • Rectangle method • Shell integration • Sum rule in integration • Surface of revolution • Trigonometric substitution •

Module theory (15)

Annihilator (ring theory) • Artinian module • Comodule • Direct sum of modules • Finitely-generated module • Fitting lemma • Free module • Indecomposable module • Invariant basis number • Localization of a module • Mitchell's embedding theorem • Modular representation theory • Projective module • Tensor product of modules • Zero module •

Multivariate calculus (14)

Comparametric equation • Critical point (mathematics) • Differential operator • Directional derivative • Equipotential • Hessian matrix • Implicit surface • Inverse function theorem • Multivariable calculus • Partial derivative • Saddle point • Saddle surface • Sard's lemma • Second partial derivative test •

Mathematical logic (14)

Canonicalization • Categorial grammar • Classical mathematics • Equiconsistency • Formal system • Inhabited set • Logical machine • Matrix (logic) • Non-classical analysis • Open sentence • Operation (mathematics) • Stratification (mathematics) • Universe (mathematics) • Zeroth-order logic •

Modular arithmetic (14)

Congruence of squares • Discrete logarithm • Euler's criterion • Gauss's lemma (number theory) • Jacobi symbol • Legendre symbol • Linear congruence theorem • Method of successive substitution • Multiplicative group of integers modulo n • Multiplicative order • Primitive root modulo n • Proofs of Fermat's little theorem • Residue number system • Wilson's theorem •

Continuous mappings (14)

Arzelà-Ascoli theorem • Bounded operator • Bundle map • Continuous function (topology) • Continuous functional calculus • Degree of a continuous mapping • Direct image functor • Equicontinuity • Homotopy • Open and closed maps • Proper map • Runge's phenomenon • Simplicial approximation theorem • Uniform continuity •

Sheaf theory (14)

Borel-Moore homology • Coherent duality • Coherent sheaf • De Rham-Weil theorem • Direct image functor • Exponential sheaf sequence • Holomorphic sheaf • Inverse image functor • Local coefficients • Locally constant function • Restriction (mathematics) • Ringed space • Sheaf cohomology • Sheaf spanned by global sections •

Riemann surfaces (14)

Abelian integral • Analytic continuation • Branching theorem • Cusp neighborhood • Fuchsian model • Gauss–Bonnet theorem • Hurwitz's automorphisms theorem • Identity theorem for Riemann surfaces • Prime geodesic • Riemann sphere • Riemann-Hurwitz formula • Schwarz–Ahlfors–Pick theorem • Teichmüller space • Uniformization theorem •

Properties of topological spaces (14)

Contractible space • Feebly compact space • First-countable space • Limit point compact • Locally simply connected space • Mesocompact space • N-connected • Normal space • Paracompact space • Regular space • Relatively compact subspace • Separable space • T1 space • Toronto space •

Homology theory (13)

Alexander-Spanier cohomology • Borel-Moore homology • Cellular homology • Chern-Simons form • Cohomology • Cup product • Dolbeault cohomology • Excision theorem • Homology theory • Hurewicz theorem • Poincaré duality • Reduced homology • Singular homology •

Fundamental physics concepts (13)

Ansatz • Bose–Einstein statistics • Commutativity • Degrees of freedom (physics and chemistry) • Ergodic hypothesis • Euler equations • Fermi–Dirac statistics • Liouville's theorem (Hamiltonian) • Maxwell–Boltzmann statistics • Onsager reciprocal relations • Photon • Probability density function • Statistical ensemble (mathematical physics) •

Regression analysis (13)

Breusch-Pagan test • Calibration (statistics) • DFFITS • Deming regression • Dependent and independent variables • Dependent variable • Fraction of variance unexplained • Hypothesis of linear regression • Independent variable • Least-squares estimation of linear regression coefficients • Linear probability models • Mathematical formalization of the statistical regression problem • Poisson regression •

Surfaces (13)

Bézier triangle • Closed surface • Cross-cap • Ellipsoid • Genus (mathematics) • Orientability • Parametric surface • Prolate • Real projective plane • Saddle surface • Spring (mathematics) • Superformula • Surface of revolution •

Statistical mechanics (13)

Boltzmann distribution • Bose–Einstein statistics • Distribution function • Ergodic hypothesis • Fermi–Dirac statistics • Feynman graph • Gibbs algorithm • Green-Kubo relations • Liouville's theorem (Hamiltonian) • Maxwell–Boltzmann statistics • S-duality • Statistical ensemble (mathematical physics) • Upper confidence bounds applied to trees •

Glossaries (12)

Glossary of Riemannian and metric geometry • Glossary of category theory • Glossary of differential geometry and topology • Glossary of field theory • Glossary of group theory • Glossary of probability and statistics • Glossary of ring theory • Glossary of scheme theory • Glossary of semisimple groups • Glossary of shapes with metaphorical names • Glossary of tensor theory • Topology glossary •

Coding theory (12)

Bar product (coding theory) • Block code • Canonical Huffman code • Channel code • Dual code • Enumerator polynomial • Gilbert-Varshamov bound • Hamming bound • Hamming(7,4) • Singleton bound • Systematic code • Tornado code •

Numerical linear algebra (12)

Basis function • Biconjugate gradient method • Bidiagonalization • Block LU decomposition • Crout matrix decomposition • Divide-and-conquer eigenvalue algorithm • Eigenvalue algorithm • Freivald's algorithm • Montante's method • Pentadiagonal matrix • Pivot element • Symbolic Cholesky decomposition •

Mathematical identities (12)

Difference of two squares • Enumerator polynomial • Euler's four-square identity • Green's identities • Hermite's identity • Jacobi identity • Lagrange's identity • Polarization identity • Pythagorean trigonometric identity • Tangent half-angle formula • Vandermonde's identity • Weitzenböck identity •

Conjectures (12)

Conjecture • Generalized Riemann hypothesis • Grothendieck–Katz p-curvature conjecture • Herzog-Schönheim conjecture • Hilbert-Smith conjecture • Homological conjectures in commutative algebra • Nagata's conjecture on curves • Nagata-Biran conjecture • Nakai conjecture • Serre conjecture (number theory) • Serre's multiplicity conjectures • Seshadri constant •

Estimation theory (12)

Efficiency (statistics) • Fisher information • Forecast error • Fraction of variance unexplained • Generalized canonical correlation • Least-squares estimation of linear regression coefficients • Lehmann–Scheffé theorem • Mean squared prediction error • Point estimation • Qualitative forecasting • Root mean square deviation • Score (statistics) •

Euclidean symmetries (12)

Charts on SO(3) • Conjugation of isometries in Euclidean space • Coordinate rotations and reflections • Dihedral group • Euclidean group • Euler's rotation theorem • Euler-Rodrigues parameters • Fixed points of isometry groups in Euclidean space • Improper rotation • Point groups in two dimensions • Rotation (mathematics) • Rotation around a fixed axis •

Lie algebras (12)

Cartan matrix • Casimir goes to Casimir • Casimir invariant • Jacobi identity • Lie ring • Monster Lie algebra • Quasi-Lie algebra • Representation of a Lie algebra • Simple Lie group • Solvmanifold • Universal enveloping algebra • Weyl group •

Elementary arithmetic (11)

Addition of natural numbers • Division by two • Egyptian Mathematical Leather Roll • Equality (mathematics) • Even and odd numbers • Irreducible fraction • Multiplication table • Plus-minus sign • Product (mathematics) • Remainder • Roman arithmetic •

Quantum mechanics (11)

Dirac operator • Fano resonance • Fock space • Fubini-Study metric • Hamiltonian (quantum mechanics) • Perturbation theory (quantum mechanics) • Potential energy surface • Quantum state • Quantum superposition • Racah W-coefficient • Topological quantum number •

Numerical differential equations (11)

Adaptive mesh refinement • Cash-Karp • Discrete Laplace operator • Dormand-Prince • Euler integration • Explicit and implicit methods • Midpoint method • Multistep method • Newmark-beta method • Stiff equation • Uniform theory of diffraction •

Integer sequences (11)

Anti-Fibonacci number • Euler number • Highly cototient number • Lah number • Lucas chain • Meander (mathematics) • Motzkin number • Power of two • Somer pseudoprime • Square-free integer • Sum-free sequence •

Rotational symmetry (11)

Charts on SO(3) • Euler-Rodrigues parameters • Magnetic quantum number • Racah W-coefficient • Representation theory of SU(2) • Representation theory of the Galilean group • Rigid body • Rotation (mathematics) • Rotation group • Rotation operator • Torque/Proofs •

Logarithms (11)

Additional logarithm topics • Common logarithm • Discrete logarithm • Imaginary-base logarithm • Indefinite logarithm • Inverse hyperbolic function • Logarithm of a matrix • Logarithmic convolution • Logarithmic growth • Logarithmic scale • Logarithmic units •

Information

Run at: Tue Jun 12 18:22:28 UTC 2007 Total articles: 2502