Definitions
One definition of a concept.
- 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 5027.
| Name | Kind | Subject |
|---|---|---|
| Partition function | Definition | Number theory |
| Natural logarithm | Definition | Special functions |
| Exterior derivative | Definition | Global analysis, analysis on manifolds |
| Square-free integer | Definition | Number theory |
| Variance | Definition | Probability theory and stochastic processes |
| Linear map of a matrix | Definition | Linear and multilinear algebra; matrix theory |
| Local maximum | Definition | Real functions |
| Sum of divisors | Definition | Number theory |
| Normed vector space | Definition | Functional analysis |
| Principal ideal | Definition | Commutative algebra |
| Platonic solid | Definition | Geometry |
| Polyhedron | Definition | Convex and discrete geometry |
| Graph isomorphism | Definition | Combinatorics |
| Euclidean vector | Definition | Geometry |
| Root of a polynomial | Definition | Commutative algebra |
| Orbit | Definition | Group theory and generalizations |
| Contour integral | Definition | Functions of a complex variable |
| Modular multiplicative inverse | Definition | Number theory |
| Norm of a Gaussian integer | Definition | Number theory |
| Multinomial coefficient | Definition | Combinatorics |
| Nullity | Definition | Linear and multilinear algebra; matrix theory |
| Saddle point | Definition | Real functions |
| Power of a point | Definition | Geometry |
| Positive definite quadratic form | Definition | Linear and multilinear algebra; matrix theory |
| Compact set | Definition | General topology |
| Arc length parametrisation | Definition | Differential geometry |
| Second-countable space | Definition | General topology |
| Absolute value | Definition | Real functions |
| Asymptotic equivalence | Definition | Approximations and expansions |
| Event | Definition | Probability theory and stochastic processes |
| Transcendental element | Definition | Field theory and polynomials |
| Picard operator | Definition | Ordinary differential equations |
| Irreducible polynomial | Definition | Field theory and polynomials |
| Ordered field | Definition | Field theory and polynomials |
| Image of a homomorphism | Definition | Group theory and generalizations |
| Partial order | Definition | Order, lattices, ordered algebraic structures |
| Evaluation homomorphism | Definition | Commutative algebra |
| Differentiable function of several variables | Definition | Real functions |
| Strict differentiability | Definition | Real functions |
| Semidirect product | Definition | Group theory and generalizations |
| Alternating series | Definition | Sequences, series, summability |
| Finite-dimensional vector space | Definition | Linear and multilinear algebra; matrix theory |
| Unit of a ring | Definition | Associative rings and algebras |
| Maximal solution | Definition | Ordinary differential equations |
| Block matrix | Definition | Linear and multilinear algebra; matrix theory |
| Bias of an estimator | Definition | Statistics |
| Characteristic subgroup | Definition | Group theory and generalizations |
| Totally disconnected space | Definition | General topology |
| Periodic orbit | Definition | Ordinary differential equations |
| Ramsey number | Definition | Combinatorics |
| Inner product space | Definition | Linear and multilinear algebra; matrix theory |
| Pythagorean triple | Definition | Number theory |
| Order of cardinals | Definition | Mathematical logic and foundations |
| Divergent sequence | Definition | Sequences, series, summability |
| Legendre symbol | Definition | Number theory |
| Multigraph | Definition | Combinatorics |
| Antisymmetric relation | Definition | Mathematical logic and foundations |
| Infinite set | Definition | Mathematical logic and foundations |
| Integers modulo n | Definition | Number theory |
| Isolated point | Definition | General topology |
| Similar triangles | Definition | Geometry |
| Composition of relations | Definition | Mathematical logic and foundations |
| Neighbourhood | Definition | Combinatorics |
| Integrating factor | Definition | Ordinary differential equations |
| Quadratic integer | Definition | Number theory |
| Connected component | Definition | Combinatorics |
| Central binomial coefficient | Definition | Combinatorics |
| Identically distributed random variables | Definition | Probability theory and stochastic processes |
| Uniformly Cauchy sequence of functions | Definition | Sequences, series, summability |
| Open set | Definition | General topology |
| Free group | Definition | Group theory and generalizations |
| Definite integral | Definition | Real functions |
| Taylor series | Definition | Approximations and expansions |
| Well-founded relation | Definition | Mathematical logic and foundations |
| Left inverse | Definition | Mathematical logic and foundations |
| Reflection | Definition | Linear and multilinear algebra; matrix theory |
| Density of the normal distribution | Definition | Probability theory and stochastic processes |
| Derivative function | Definition | Real functions |
| Similar matrices | Definition | Linear and multilinear algebra; matrix theory |
| Reflection in a line or plane | Definition | Geometry |
| Exponential distribution | Definition | Probability theory and stochastic processes |
| Flow of a vector field | Definition | Dynamical systems and ergodic theory |
| Planar graph | Definition | Combinatorics |
| Binary tree | Definition | Combinatorics |
| Covariance matrix | Definition | Statistics |
| Edge colouring | Definition | Combinatorics |
| Transposition | Definition | Group theory and generalizations |
| Free module | Definition | Associative rings and algebras |
| Inverse trigonometric functions | Definition | Special functions |
| Stationary distribution | Definition | Probability theory and stochastic processes |
| Fermat pseudoprime | Definition | Number theory |
| Intermediate field | Definition | Field theory and polynomials |
| Divergence | Definition | Real functions |
| Splitting field | Definition | Field theory and polynomials |
| Higher partial derivatives | Definition | Real functions |
| Algebraically closed field | Definition | Field theory and polynomials |
| Polar form of a quadratic form | Definition | Linear and multilinear algebra; matrix theory |
| Greatest common divisor | Definition | Number theory |
| External direct sum | Definition | Linear and multilinear algebra; matrix theory |
| Bernoulli process | Definition | Probability theory and stochastic processes |
| Kernel of a linear map | Definition | Linear and multilinear algebra; matrix theory |
| Conditional convergence | Definition | Sequences, series, summability |
| Real and imaginary parts | Definition | Functions of a complex variable |
| Ideal generated by a subset | Definition | Commutative algebra |
| Total order | Definition | Order, lattices, ordered algebraic structures |
| Order on the reals | Definition | Real functions |
| Markov chain | Definition | Probability theory and stochastic processes |
| Statistic | Definition | Statistics |
| Chromatic polynomial | Definition | Combinatorics |
| Characteristic polynomial | Definition | Linear and multilinear algebra; matrix theory |
| Norm on the Gaussian integers | Definition | Number theory |
| Determinant of a linear map | Definition | Linear and multilinear algebra; matrix theory |
| Absolutely convergent improper integral | Definition | Sequences, series, summability |
| Perpendicular bisector | Definition | Geometry |
| Separable polynomial | Definition | Field theory and polynomials |
| Skew-symmetric matrix | Definition | Linear and multilinear algebra; matrix theory |
| Indefinite integral | Definition | Real functions |
| Jacobian determinant | Definition | Real functions |
| Number of derangements | Definition | Combinatorics |
| Multiplicity of a root | Definition | Commutative algebra |
| Integer partition | Definition | Combinatorics |
| Entire function | Definition | Functions of a complex variable |
| Nilpotent matrix | Definition | Linear and multilinear algebra; matrix theory |
| Direct sum of subspaces | Definition | Linear and multilinear algebra; matrix theory |
| Maclaurin series | Definition | Approximations and expansions |
| Product metric | Definition | General topology |
| Circle | Definition | Geometry |
| Disc of convergence | Definition | Functions of a complex variable |
| Complementary subspaces | Definition | Linear and multilinear algebra; matrix theory |
| Local maximum and minimum | Definition | Real functions |
| Correlation coefficient | Definition | Statistics |
| Inverse hyperbolic functions | Definition | Special functions |
| Commutativity | Definition | General algebraic systems |
| Spectrum of a matrix | Definition | Linear and multilinear algebra; matrix theory |
| Modulo operation | Definition | Number theory |
| Mesh of a partition | Definition | Real functions |
| Divisibility in a commutative ring | Definition | Commutative algebra |
| Consistent and inconsistent systems | Definition | Linear and multilinear algebra; matrix theory |
| Infimum | Definition | Order, lattices, ordered algebraic structures |
| Lyapunov function | Definition | Ordinary differential equations |
| Almost sure convergence | Definition | Probability theory and stochastic processes |
| Index of a subgroup | Definition | Group theory and generalizations |
| Dedekind cut | Definition | Real functions |
| Product topology on an arbitrary product | Definition | General topology |
| Solution of an ordinary differential equation | Definition | Ordinary differential equations |
| Little o notation | Definition | Approximations and expansions |
| P-adic valuation | Definition | Number theory |
| Sigma-algebra | Definition | Measure and integration |
| Probability density function | Definition | Probability theory and stochastic processes |
| Cardinality of a finite set | Definition | Mathematical logic and foundations |