HandWiki:Math
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Mathematics (from Greek "knowledge, study, learning") includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). This portal covers all branches of pure (number theory, algebra, arithmetic, combinatorics, topology, mathematical analysis) and applied (calculus, statistics, set theory, trigonometry) mathematics.
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- Ampere WS-1
- Jankov–von Neumann uniformization theorem
- Correlation length
- Spintronics
- Reward hacking
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- Leggett–Garg inequality
- AppImage
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- Prabhakar function
- Hack-for-hire operation
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- Software patents and free software
List of categories
Main topics
- 0 (number)
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- Abelian varieties
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- Apeirogonal tilings
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- Applied mathematics
- Approximation algorithms
- Approximations
- Archimedean solids
- Argument mapping
- Arithmetic
- Arithmetic functions
- Articles containing proofs
- Asymptotic analysis
- Automorphic forms
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- Banach spaces
- Bayesian estimation
- Bayesian inference
- Behavior selection algorithms
- Bilinear operators
- Bin packing
- Binary arithmetic
- Binary operations
- Binary relations
- Books about mathematics
- Books about philosophy of mathematics
- Books about the history of mathematics
- Boundary conditions
- Cache coherency
- Cardinal numbers
- Catalan solids
- Causal diagrams
- Chaotic maps
- Characteristic classes
- Circle packing
- Classes of prime numbers
- Classification algorithms
- Closure operators
- Clustering criteria
- Cohomology theories
- Combinatorial algorithms
- Combinatorial optimization
- Combinatorics
- Combinatory logic
- Compactification (mathematics)
- Compactness (mathematics)
- Complex analysis
- Complex distributions
- Complex dynamics
- Complex manifolds
- Complex numbers
- Complex surfaces
- Computational fields of study
- Computer arithmetic
- Conceptual modelling
- Conditionals
- Conformal mapping
- Conformal mappings
- Conformal projections
- Conic sections
- Conjectures
- Conjectures that have been proved
- Conjugate prior distributions
- Connection (mathematics)
- Conservation equations
- Constructible polygons
- Constructivism (mathematics)
- Continued fractions
- Continuous distributions
- Continuous integration
- Continuous mappings
- Continuous wavelets
- Convergence (mathematics)
- Convergence tests
- Convex analysis
- Convex hull algorithms
- Convex optimization
- Coordinate systems
- Covariance and correlation
- Covering lemmas
- Curvature (mathematics)
- Cyclotomic fields
- Decomposition methods
- Definitions of mathematical integration
- Deltahedra
- Design of experiments
- Determinacy
- Determinants
- Deterministic global optimization
- Dichotomies
- Diffeomorphisms
- Differential calculus
- Differential equations
- Differential forms
- Differential operators
- Differential systems
- Differentiation rules
- Digit-by-digit algorithms
- Dimension reduction
- Dimensionless numbers
- Diophantine approximation
- Diophantine equations
- Directed graphs
- Discrete distributions
- Discrete mathematics
- Discrete transforms
- Divergent series
- Division (mathematics)
- Divisor function
- Domain decomposition methods
- Dynamical systems
- E (mathematical constant)
- Elementary arithmetic
- Elementary mathematics
- Elementary shapes
- Elementary special functions
- Elliptic curves
- Elliptic functions
- Elliptic partial differential equations
- Encyclopedias of mathematics
- Enumerative combinatorics
- Equal-area projections
- Equations of fluid dynamics
- Equidistant projections
- Equivalence (mathematics)
- Error detection and correction
- Errors and residuals
- Estimation of densities
- Euclidean symmetries
- Euclidean tilings
- Exchange algorithms
- Exponential family distributions
- Exponentials
- Factor analysis
- Factorial and binomial topics
- Fibonacci numbers
- Field (mathematics)
- Fields of mathematics
- Finite automata
- Finite differences
- Finite element method
- Finite fields
- Finite rings
- First order methods
- Fixed points (mathematics)
- Forcing (mathematics)
- Formal sciences
- Formal systems
- Formal theories of arithmetic
- Foundations of mathematics
- Fourier analysis
- Fourier series
- Fractal curves
- Fractional calculus
- Fractions (mathematics)
- Frequency distribution
- Fréchet spaces
- Function prefixes
- Function spaces
- Functional analysis
- Functional calculus
- Functional equations
- Functions and mappings
- Fuzzy logic
- Gambling terminology
- Gamma and related functions
- Gaussian function
- Gaussian quadratures
- Generalizations
- Generalizations of the derivative
- Generalized convexity
- Generalized functions
- Generalized manifolds
- Generating functions
- Geodesic (mathematics)
- Glossaries of mathematics
- Glossary of areas of mathematics
- Goldberg polyhedra
- Golden ratio
- Gradient methods
- Grandi's series
- Graph algorithms
- Graph coloring
- Graph connectivity
- Graph data structures
- Graph drawing
- Graph enumeration
- Graph families
- Graph invariants
- Graph operations
- Graphical projections
- Hamiltonian paths and cycles
- Hardy spaces
- Harmonic analysis
- Harmonic functions
- Heptagonal tilings
- Heptagrammic tilings
- Heraldic charges
- Hexadecimal numeral system
- Hexagonal tilings
- Hierarchy of functions
- Higher-order functions
- Hilbert space
- Hilbert's problems
- Historical treatment of quaternions
- History of mathematics
- Homeomorphisms
- Homogeneous polynomials
- Homogeneous spaces
- Horizontal coordinate system
- Hyperbolic knots and links
- Hyperbolic partial differential equations
- Hyperbolic tilings
- Hypercomplex numbers
- Hypergraphs
- Immediate inference
- Individual graphs
- Inequalities
- Infinite graphs
- Infinite-order tilings
- Information
- Integer factorization algorithms
- Integer sequences
- Integrable systems
- Integral calculus
- Integral equations
- Integral representations
- Integral transforms
- Integration on manifolds
- Interpolation
- Intersection classes of graphs
- Invariant subspaces
- Inverse functions
- Irrational numbers
- Isochoric 3-honeycombs
- Isogonal 3-honeycombs
- Isogonal tilings
- Isohedral tilings
- Isotoxal tilings
- Iterated function system fractals
- Johnson solids
- Knot invariants
- Knots and links
- Knowledge representation
- Lambda calculus
- Laplace transforms
- Large cardinals
- Large integers
- Large numbers
- Latin squares
- Lattice points
- Lattice-based cryptography
- Legendre polynomials
- Limit sets
- Limits (mathematics)
- Linear logic
- Linear operators
- Linear operators in calculus
- Lists of integrals
- Lists of shapes
- Lists of units of measurement
- Localization (mathematics)
- Logarithms
- Logic symbols
- Logical connectives
- Logical expressions
- Lorentzian manifolds
- Loss functions
- Lévy processes
- Magic squares
- Map projections
- Maps of manifolds
- Markov chain Monte Carlo
- Markov models
- Markov processes
- Mathematical analysis
- Mathematical and quantitative methods (economics)
- Mathematical axioms
- Mathematical chess problems
- Mathematical classification systems
- Mathematical concepts
- Mathematical constants
- Mathematical databases
- Mathematical economics
- Mathematical identities
- Mathematical induction
- Mathematical logic
- Mathematical markup languages
- Mathematical methods in general relativity
- Mathematical modeling
- Mathematical morphology
- Mathematical notation
- Mathematical optimization
- Mathematical paradoxes
- Mathematical physics
- Mathematical principles
- Mathematical problems
- Mathematical proofs
- Mathematical relations
- Mathematical series
- Mathematical structures
- Mathematical symbols
- Mathematical tables
- Mathematical terminology
- Mathematical tools
- Mathematics
- Mathematics books
- Mathematics education
- Mathematics journals
- Mathematics of infinitesimals
- Mathematics of rigidity
- Mathematics paradoxes
- Mathematics textbooks
- Mathematics timelines
- Mathematics websites
- Mathematics-related lists
- Matrix decompositions
- Matrix normal forms
- Measures of complexity
- Meromorphic functions
- Metric tensors
- Microlocal analysis
- Minimal surfaces
- Minkowski spacetime
- Modular arithmetic
- Modular forms
- Moment (mathematics)
- Monte Carlo methods
- Multiplication
- Multivariable calculus
- Multivariate continuous distributions
- Multivariate interpolation
- Necessity and sufficiency
- Non-Newtonian calculus
- Non-standard analysis
- Non-standard positional numeral systems
- Nonconvex polyhedra
- Nonlinear functional analysis
- Nonlinear systems
- Nonstandard analysis
- Normal distribution
- Normal forms (logic)
- Normed spaces
- Norms (mathematics)
- Numeral systems
- Numerical analysis
- Numerical differential equations
- Numerical function drawing
- Numerical integration
- Numerical integration (quadrature)
- Obfuscation
- Operations research
- Optimal decisions
- Optimization algorithms and methods
- Optimization in vector spaces
- Optimization of ordered sets
- Order-2 tilings
- Order-3-n 3-honeycombs
- Order-4 tilings
- Order-4-n 3-honeycombs
- Order-5 tilings
- Order-5-n 3-honeycombs
- Order-6 tilings
- Order-6-n 3-honeycombs
- Order-7 tilings
- Order-7-n 3-honeycombs
- Order-8-n 3-honeycombs
- Order-n-2 3-honeycombs
- Order-n-3 3-honeycombs
- Order-n-4 3-honeycombs
- Order-n-5 3-honeycombs
- Order-n-6 3-honeycombs
- Order-n-7 3-honeycombs
- Order-n-8 3-honeycombs
- Ordinal numbers
- Ordinary differential equations
- Orthogonal coordinate systems
- Orthogonal polynomials
- Orthogonal wavelets
- Oscillation
- Outlines of mathematics and logic
- Packing problems
- Parabolic partial differential equations
- Paradoxes of infinity
- Parametric families of graphs
- Parity (mathematics)
- Partial differential equations
- Pentagonal tilings
- Pentagrammic-order tilings
- Perfect graphs
- Permutation patterns
- Permutations
- Pi algorithms
- Planar graphs
- Planar surfaces
- Plane curves
- Platonic solids
- Point processes
- Poisson distribution
- Poisson point processes
- Polyhedral combinatorics
- Polyhedral compounds
- Polynomial functions
- Polynomials
- Positional numeral systems
- Prime numbers
- Prismatoid polyhedra
- Problem structuring methods
- Propositional calculus
- Pseudorandomness
- Pyramids and bipyramids
- Quadratic forms
- Quadratic irrational numbers
- Quadratic residue
- Quadrilaterals
- Quality control tools
- Quantification
- Quasiregular polyhedra
- Quaternions
- Quotient objects
- Random graphs
- Random matrices
- Randomized algorithms
- Rational functions
- Rational numbers
- Real analysis
- Real closed field
- Real numbers
- Real transcendental numbers
- Recurrence relations
- Regression analysis
- Regular 3-honeycombs
- Regular graphs
- Regular polyhedra
- Regular tessellations
- Regular tilings
- Riemann surfaces
- Riemannian manifolds
- Root-finding algorithms
- Rotation in three dimensions
- Rotational symmetry
- Rules of inference
- Runge–Kutta methods
- Scaling symmetries
- Scientific method
- Self-dual polyhedra
- Self-dual tilings
- Self-organization
- Semiregular tilings
- Separation axioms
- Sequence spaces
- Sequences and series
- Series expansions
- Set families
- Set indices on mathematics
- Sets of real numbers
- Several complex variables
- Shift-and-add algorithms
- Simplicial sets
- Singular integrals
- Singular value decomposition
- Smooth functions
- Smooth manifolds
- Snub tilings
- Sobolev spaces
- Sources of knowledge
- Space-filling polyhedra
- Spanning tree
- Sparse matrices
- Spatial data analysis
- Spatial gradient
- Spatial processes
- Special functions
- Spectral sequences
- Spherical trigonometry
- Spiric sections
- Splines (mathematics)
- Square tilings
- Stable distributions
- Star polygons
- Stochastic calculus
- Stochastic differential equations
- Stochastic models
- Stochastic processes
- String metrics
- Strongly regular graphs
- Structural analysis
- Structures on manifolds
- Summability methods
- Survival analysis
- Symmetric functions
- Symmetric relations
- Ternary operations
- Theta functions
- Three-dimensional coordinate systems
- Time domain analysis
- Time in science
- Transcendental numbers
- Transfer functions
- Transformation (function)
- Transforms
- Transitive relations
- Triangles of numbers
- Triangular tilings
- Trigonometric functions
- Trigonometry
- Truncated tilings
- Two-dimensional coordinate systems
- Types of databases
- Types of functions
- Types of triangles
- Unary operations
- Undecidable conjectures
- Unification (computer science)
- Uniform polyhedra
- Uniform spaces
- Uniform tilings
- Unitary operators
- Units of area
- Units of luminous intensity
- Units of plane angle
- Units of power
- Unsolved problems in mathematics
- Variables (mathematics)
- Variants of random walks
- Variational analysis
- Variational principles
- Vector bundles
- Vector calculus
- Vector spaces
- Vectors (mathematics and physics)
- Vertical position
- Wiener process
- Zeta and L-functions
- Δ-hyperbolic space
Theorems
- Automated theorem proving
- Central limit theorem
- Compactness theorems
- Fixed-point theorems
- Fundamental theorems
- Isomorphism theorems
- Mathematical theorems
- Probability theorems
- Statistical theorems
- Tauberian theorems
- Theorems about prime numbers
- Theorems in Fourier analysis
- Theorems in Riemannian geometry
- Theorems in abstract algebra
- Theorems in algebra
- Theorems in algebraic geometry
- Theorems in algebraic number theory
- Theorems in algebraic topology
- Theorems in analysis
- Theorems in analytic number theory
- Theorems in approximation theory
- Theorems in calculus
- Theorems in combinatorics
- Theorems in complex analysis
- Theorems in complex geometry
- Theorems in computational complexity theory
- Theorems in convex geometry
- Theorems in differential geometry
- Theorems in differential topology
- Theorems in discrete geometry
- Theorems in discrete mathematics
- Theorems in functional analysis
- Theorems in geometry
- Theorems in graph theory
- Theorems in group theory
- Theorems in harmonic analysis
- Theorems in homotopy theory
- Theorems in linear algebra
- Theorems in measure theory
- Theorems in number theory
- Theorems in plane geometry
- Theorems in projective geometry
- Theorems in real analysis
- Theorems in representation theory
- Theorems in statistics
- Theorems in the foundations of mathematics
- Theorems in topology
- Theorems regarding stochastic processes
Theories
- Abelian group theory
- Additive number theory
- Algebraic K-theory
- Algebraic graph theory
- Algebraic number theory
- Analytic number theory
- Approximation theory
- Asymptotic theory (statistics)
- Axioms of set theory
- Basic concepts in infinite set theory
- Basic concepts in set theory
- Bifurcation theory
- Category theory
- Chaos theory
- Class field theory
- Classical control theory
- Coding theory
- Combinatorial game theory
- Complex systems theory
- Computability theory
- Computational number theory
- Computational problems in graph theory
- Conformal field theory
- Continuum theory
- Density functional theory
- Descriptive set theory
- Dimension theory
- Effective descriptive set theory
- Elementary number theory
- Ergodic theory
- Estimation theory
- Experiment (probability theory)
- Extremal graph theory
- Field theory
- Free probability theory
- Galois theory
- Game theory
- Geometric graph theory
- Geometric group theory
- Geometric transversal theory
- Graph minor theory
- Graph theory
- Graph theory objects
- Group theory
- Hidden variable theory
- Higher category theory
- Homology theory
- Homotopy theory
- Ideals (ring theory)
- Independence (probability theory)
- Infinite group theory
- Information theory
- Inner model theory
- Intersection theory
- Invariant theory
- Knot theory
- Large deviations theory
- Lattice theory
- Limits (category theory)
- Martingale theory
- Matching (graph theory)
- Matrix theory
- Matroid theory
- Measure theory
- Measures (measure theory)
- Metatheory
- Model theory
- Module theory
- Network theory
- Number theory
- Objects (category theory)
- Operator theory
- Order theory
- Paradoxes of naive set theory
- Paradoxes of set theory
- Perturbation theory
- Probability theory
- Probability theory paradoxes
- Queueing theory
- Ramsey theory
- Representation theory
- Representation theory of Lie algebras
- Representation theory of Lie groups
- Representation theory of algebraic groups
- Representation theory of finite groups
- Representation theory of groups
- Ring theory
- Scheme theory
- Semigroup theory
- Set theory
- Sheaf theory
- Singularity theory
- Spectral theory
- Squares in number theory
- Stability theory
- Statistical theory
- Structural complexity theory
- Summability theory
- Surgery theory
- Systems of set theory
- Systems theory
- Theorems in algebraic number theory
- Theorems in analytic number theory
- Theorems in approximation theory
- Theorems in computational complexity theory
- Theorems in graph theory
- Theorems in group theory
- Theorems in homotopy theory
- Theorems in measure theory
- Theorems in number theory
- Theorems in representation theory
- Theory of computation
- Theory of continuous functions
- Theory of probability distributions
- Topological graph theory
- Topos theory
- Trees (graph theory)
- Type theory
- Unitary representation theory
- Unsolved problems in number theory
Algebra
- Abstract algebra
- Algebra of random variables
- Algebraic K-theory
- Algebraic combinatorics
- Algebraic curves
- Algebraic geometry
- Algebraic graph theory
- Algebraic groups
- Algebraic homogeneous spaces
- Algebraic logic
- Algebraic number theory
- Algebraic numbers
- Algebraic structures
- Algebraic surfaces
- Algebraic topology
- Algebraic varieties
- Banach algebras
- Boolean algebra
- C-algebras
- Clifford algebras
- Commutative algebra
- Composition algebras
- Computer algebra
- Diagram algebras
- Differential algebra
- Elementary algebra
- Exceptional Lie algebras
- Free algebraic structures
- Geometric algebra
- Homological algebra
- Hopf algebras
- Lie algebras
- Linear algebra
- Linear algebraic groups
- Multilinear algebra
- Non-associative algebra
- Non-associative algebras
- Nonlinear algebra
- Numerical linear algebra
- Ockham algebras
- Operator algebras
- Properties of Lie algebras
- Real algebraic geometry
- Representation theory of Lie algebras
- Representation theory of algebraic groups
- Super linear algebra
- Theorems in abstract algebra
- Theorems in algebra
- Theorems in algebraic geometry
- Theorems in algebraic number theory
- Theorems in algebraic topology
- Theorems in linear algebra
- Topological algebra
- Topological methods of algebraic geometry
- Universal algebra
- Von Neumann algebras
Statistics
- Applied probability
- Asymptotic theory (statistics)
- Bayesian statistics
- Biostatistics journals
- Computational statistics
- Computational statistics journals
- Directional statistics
- Experiment (probability theory)
- Free probability theory
- Functions related to probability distributions
- Independence (probability theory)
- Infinitely divisible probability distributions
- Location-scale family probability distributions
- Logic and statistics
- Multivariate statistics
- Nonparametric statistics
- Parametric statistics
- Probabilistic arguments
- Probabilistic inequalities
- Probability
- Probability and statistics
- Probability assessment
- Probability bounds analysis
- Probability fallacies
- Probability interpretations
- Probability problems
- Probability theorems
- Probability theory
- Probability theory paradoxes
- Robust statistics
- Sampling (statistics)
- Statistical algorithms
- Statistical approximations
- Statistical data types
- Statistical deviation and dispersion
- Statistical hypothesis testing
- Statistical inference
- Statistical methods
- Statistical paradoxes
- Statistical parameters
- Statistical randomness
- Statistical ratios
- Statistical theorems
- Statistical theory
- Statistics
- Statistics journals
- Statistics-related lists
- Summary statistics
- Tails of probability distributions
- Theorems in statistics
- Theory of probability distributions
- Types of probability distributions
Geometry
- Affine geometry
- Algebraic geometry
- Analytic geometry
- Arithmetic geometry
- Arithmetic problems of plane geometry
- Birational geometry
- Classical geometry
- Computational geometry
- Configurations (geometry)
- Conformal geometry
- Contact geometry
- Convex geometry
- Coordinate systems in differential geometry
- Descriptive geometry
- Differential geometry
- Differential geometry of surfaces
- Diophantine geometry
- Discrete geometry
- Elementary geometry
- Euclidean geometry
- Euclidean plane geometry
- Euclidean solid geometry
- Finite geometry
- Four-dimensional geometry
- Geometric algebra
- Geometric algorithms
- Geometric centers
- Geometric dissection
- Geometric graph theory
- Geometric graphs
- Geometric group theory
- Geometric inequalities
- Geometric intersection
- Geometric measurement
- Geometric shapes
- Geometric topology
- Geometric transversal theory
- Geometry of divisors
- Geometry of numbers
- Geometry processing
- Honeycombs (geometry)
- Hyperbolic geometry
- Hypergeometric functions
- Incidence geometry
- Integral geometry
- Metric geometry
- Multi-dimensional geometry
- Non-Euclidean geometry
- Noncommutative geometry
- Orientation (geometry)
- Projective geometry
- Real algebraic geometry
- Riemannian geometry
- Special hypergeometric functions
- Spherical geometry
- Symplectic geometry
- Systolic geometry
- Theorems in Riemannian geometry
- Theorems in algebraic geometry
- Theorems in complex geometry
- Theorems in convex geometry
- Theorems in differential geometry
- Theorems in discrete geometry
- Theorems in geometry
- Theorems in plane geometry
- Theorems in projective geometry
- Topological methods of algebraic geometry
- Triangle geometry
- Triangulation (geometry)
Topology
- Algebraic topology
- Computational topology
- Differential topology
- General topology
- Geometric topology
- Low-dimensional topology
- Properties of topological spaces
- Symplectic topology
- Theorems in algebraic topology
- Theorems in differential topology
- Theorems in topology
- Topological algebra
- Topological graph theory
- Topological groups
- Topological methods of algebraic geometry
- Topological spaces
- Topological vector spaces
- Topology of Lie groups
- Topology of function spaces
- Topology of homogeneous spaces
- Trees (topology)
Groups
- Abelian group theory
- Algebraic groups
- Braid groups
- Coxeter groups
- Discrete groups
- Finite groups
- Functional subgroups
- Geometric group theory
- Group actions (mathematics)
- Group theory
- Infinite group theory
- Kleinian groups
- Lie groups
- Linear algebraic groups
- Ordered groups
- Permutation groups
- Properties of groups
- Quantum groups
- Representation theory of Lie groups
- Representation theory of algebraic groups
- Representation theory of finite groups
- Representation theory of groups
- Semigroup theory
- Solvable groups
- Sporadic groups
- Subgroup properties
- Theorems in group theory
- Topological groups
- Topology of Lie groups