Concepts
A mathematical idea. It can have more than one definition.
- Concepts 5206
- Definitions 5027
- Statements 3081
- Conjectures 75
- Problems 147
- Examples 431
- Counterexamples 71
- Objects 132
- Proofs 11
- Computations 1
- Topics 1
Ideas 1–150 of 5206.
| Name | Kind | Subject |
|---|---|---|
| Vector space | Concept | Linear and multilinear algebra; matrix theory |
| Quotient set | Concept | Mathematical logic and foundations |
| Mutual independence of events | Concept | Probability theory and stochastic processes |
| Block diagonal matrix | Concept | Linear and multilinear algebra; matrix theory |
| Differential equation | Concept | Ordinary differential equations |
| Jump discontinuity | Concept | Real functions |
| Sylow p-subgroup | Concept | Group theory and generalizations |
| Row equivalence | Concept | Linear and multilinear algebra; matrix theory |
| Quotient ring | Concept | Associative rings and algebras |
| Least common multiple | Concept | Number theory |
| Composite number | Concept | Number theory |
| One-sided limit | Concept | Real functions |
| Composition of linear maps | Concept | Linear and multilinear algebra; matrix theory |
| Graph | Concept | Combinatorics |
| Countably infinite set | Concept | Mathematical logic and foundations |
| Power set | Concept | Mathematical logic and foundations |
| Hasse diagram | Concept | Order, lattices, ordered algebraic structures |
| Closed map | Concept | General topology |
| Zero of a holomorphic function | Concept | Functions of a complex variable |
| Direct product of groups | Concept | Group theory and generalizations |
| Conic section | Concept | Geometry |
| Lower triangular matrix | Concept | Linear and multilinear algebra; matrix theory |
| Divisibility rule | Concept | Number theory |
| Determinant | Concept | Linear and multilinear algebra; matrix theory |
| Prime ideal | Concept | Commutative algebra |
| Independent and identically distributed random variables | Concept | Probability theory and stochastic processes |
| Prior probability | Concept | Statistics |
| Complex sine and cosine | Concept | Special functions |
| Primitive element of a finite field | Concept | Field theory and polynomials |
| Gram matrix | Concept | Linear and multilinear algebra; matrix theory |
| Little o notation | Concept | Approximations and expansions |
| Linear subspace | Concept | Linear and multilinear algebra; matrix theory |
| Arcsine | Concept | Special functions |
| Topological embedding | Concept | General topology |
| Strictly monotone function | Concept | Real functions |
| Hölder continuity | Concept | Real functions |
| Reduction formula | Concept | Real functions |
| Glide reflection | Concept | Geometry |
| Principal branch | Concept | Functions of a complex variable |
| Platonic solid | Concept | Geometry |
| Prime number | Concept | Number theory |
| Vector-valued function | Concept | Real functions |
| Root of a polynomial | Concept | Commutative algebra |
| Preimage of a set | Concept | Mathematical logic and foundations |
| Well-order | Concept | Order, lattices, ordered algebraic structures |
| Public-key cryptography | Concept | Information and communication theory, circuits |
| Law of a random variable | Concept | Probability theory and stochastic processes |
| Periodic continued fraction | Concept | Number theory |
| Generalised eigenvector | Concept | Linear and multilinear algebra; matrix theory |
| Maximal solution | Concept | Ordinary differential equations |
| Regular polygon | Concept | Geometry |
| Positive semidefinite matrix | Concept | Linear and multilinear algebra; matrix theory |
| Nondegenerate bilinear form | Concept | Linear and multilinear algebra; matrix theory |
| Hyperbolic functions | Concept | Special functions |
| Spherical coordinates | Concept | Geometry |
| Tangent line | Concept | Real functions |
| Definite and indefinite quadratic forms | Concept | Linear and multilinear algebra; matrix theory |
| Elementary matrix | Concept | Linear and multilinear algebra; matrix theory |
| Lyapunov function | Concept | Ordinary differential equations |
| Residue class | Concept | Number theory |
| Surjective function | Concept | Mathematical logic and foundations |
| Hyperbolic equilibrium point | Concept | Dynamical systems and ergodic theory |
| Countable set | Concept | Mathematical logic and foundations |
| Orthogonal family for a bilinear form | Concept | Linear and multilinear algebra; matrix theory |
| Prime element | Concept | Commutative algebra |
| Moment | Concept | Probability theory and stochastic processes |
| Constructive proof | Concept | Mathematical logic and foundations |
| Limit at infinity | Concept | Real functions |
| Matrix exponential | Concept | Linear and multilinear algebra; matrix theory |
| Totally bounded set | Concept | General topology |
| Order of cardinals | Concept | Mathematical logic and foundations |
| Euclidean algorithm in a Euclidean domain | Concept | Commutative algebra |
| Conjunction | Concept | Mathematical logic and foundations |
| First integral | Concept | Ordinary differential equations |
| Flux through a surface | Concept | Real functions |
| Associate elements | Concept | Commutative algebra |
| Vector field | Concept | Real functions |
| Negation | Concept | Mathematical logic and foundations |
| Convex set | Concept | Convex and discrete geometry |
| Open set | Concept | General topology |
| Cardinality of a finite set | Concept | Mathematical logic and foundations |
| Sign of a permutation | Concept | Group theory and generalizations |
| Power of a point | Concept | Geometry |
| Prime factorization | Concept | Number theory |
| Transitive action | Concept | Group theory and generalizations |
| Isometry | Concept | General topology |
| Nullcline | Concept | Ordinary differential equations |
| Monotone sequence | Concept | Sequences, series, summability |
| Polynomial evaluation | Concept | Commutative algebra |
| Discrete uniform distribution | Concept | Probability theory and stochastic processes |
| Complex logarithm | Concept | Special functions |
| Line integral of a scalar field | Concept | Real functions |
| Multiplicative order | Concept | Number theory |
| Topological property | Concept | General topology |
| Reduction of order | Concept | Ordinary differential equations |
| Branch of the logarithm | Concept | Special functions |
| Centraliser | Concept | Group theory and generalizations |
| One-form | Concept | Global analysis, analysis on manifolds |
| Partial fraction decomposition | Concept | Real functions |
| Commutative ring | Concept | Commutative algebra |
| Event | Concept | Probability theory and stochastic processes |
| Polyhedron | Concept | Convex and discrete geometry |
| Matrix multiplication | Concept | Linear and multilinear algebra; matrix theory |
| Projection | Concept | Linear and multilinear algebra; matrix theory |
| Nine-point circle | Concept | Geometry |
| Limit inferior | Concept | Sequences, series, summability |
| Formal power series | Concept | Commutative algebra |
| Tangent plane to a graph | Concept | Real functions |
| Hyperbolic cosine | Concept | Special functions |
| Dirichlet convolution | Concept | Number theory |
| System of linear differential equations | Concept | Ordinary differential equations |
| Bernoulli distribution | Concept | Probability theory and stochastic processes |
| Parametric equation of a line | Concept | Geometry |
| Independence of two events | Concept | Probability theory and stochastic processes |
| Column space | Concept | Linear and multilinear algebra; matrix theory |
| Absorbing Markov chain | Concept | Probability theory and stochastic processes |
| Modulo operation | Concept | Number theory |
| Multivalued function | Concept | Real functions |
| Left coset | Concept | Group theory and generalizations |
| Cauchy–Euler equation | Concept | Ordinary differential equations |
| Range of a function | Concept | Mathematical logic and foundations |
| Irreducible polynomial | Concept | Field theory and polynomials |
| Dimension | Concept | Linear and multilinear algebra; matrix theory |
| P-adic valuation | Concept | Number theory |
| Antichain | Concept | Order, lattices, ordered algebraic structures |
| Regular space | Concept | General topology |
| Normed vector space | Concept | Functional analysis |
| Type I and type II errors | Concept | Statistics |
| Path | Concept | Combinatorics |
| Minimal polynomial | Concept | Linear and multilinear algebra; matrix theory |
| Second-countable space | Concept | General topology |
| Continuous linear map | Concept | Operator theory |
| Integers modulo n | Concept | Number theory |
| Circumcircle | Concept | Geometry |
| Sample mean | Concept | Statistics |
| Oriented angle | Concept | Geometry |
| Lattice path | Concept | Combinatorics |
| Multilinear map | Concept | Linear and multilinear algebra; matrix theory |
| Diagonal matrix | Concept | Linear and multilinear algebra; matrix theory |
| Random variable with a density | Concept | Probability theory and stochastic processes |
| Closed curve | Concept | Differential geometry |
| Homogeneous linear system with constant coefficients | Concept | Ordinary differential equations |
| Evaluation of real integrals by residues | Concept | Functions of a complex variable |
| Variance | Concept | Probability theory and stochastic processes |
| Jacobian matrix | Concept | Real functions |
| Multiplicity of a root | Concept | Commutative algebra |
| Concyclic points | Concept | Geometry |
| Open cover | Concept | General topology |
| Greedy colouring | Concept | Combinatorics |
| Field | Concept | Field theory and polynomials |