Concepts
A mathematical idea. It can have more than one definition.
- Concepts 2778
- Definitions 2634
- Statements 1926
- Conjectures 38
- Problems 54
- Examples 213
- Counterexamples 52
- Objects 99
- Proofs 10
- Computations 1
- Topics 1
Ideas 751–900 of 2778.
| Name | Kind | Subject |
|---|---|---|
| Basis of a topology | Concept | General topology |
| Holomorphic function | Concept | Functions of a complex variable |
| Harmonic number | Concept | Number theory |
| Inner product | Concept | Linear and multilinear algebra; matrix theory |
| Asymptotic stability | Concept | Ordinary differential equations |
| Planar graph | Concept | Combinatorics |
| Graph colouring | Concept | Combinatorics |
| Linear recurrence with constant coefficients | Concept | Difference and functional equations |
| Right coset | Concept | Group theory and generalizations |
| Conditional convergence | Concept | Sequences, series, summability |
| Self-adjoint operator | Concept | Operator theory |
| Restriction of a function | Concept | Mathematical logic and foundations |
| Curl | Concept | Real functions |
| Probability space | Concept | Probability theory and stochastic processes |
| Perfect matching | Concept | Combinatorics |
| Sample variance | Concept | Statistics |
| von Mangoldt function | Concept | Number theory |
| Series | Concept | Sequences, series, summability |
| Implication | Concept | Mathematical logic and foundations |
| Zero divisor | Concept | Associative rings and algebras |
| Euclidean distance | Concept | Geometry |
| Quotient topology | Concept | General topology |
| Transcendental element | Concept | Field theory and polynomials |
| Winding number | Concept | Algebraic topology |
| Linear map | Concept | Linear and multilinear algebra; matrix theory |
| Construction of the integers from the natural numbers | Concept | Number theory |
| Normal space | Concept | General topology |
| Ordinary differential equation | Concept | Ordinary differential equations |
| Direct proof | Concept | General and overarching topics |
| Multiplicative function | Concept | Number theory |
| T1 space | Concept | General topology |
| Adjoining a root of a polynomial | Concept | Field theory and polynomials |
| Module over a ring | Concept | Associative rings and algebras |
| Hermitian matrix | Concept | Linear and multilinear algebra; matrix theory |
| Divergent sequence | Concept | Sequences, series, summability |
| Ordered field | Concept | Field theory and polynomials |
| Standard deviation | Concept | Probability theory and stochastic processes |
| Degree of a polynomial | Concept | Commutative algebra |
| Composition of an integer | Concept | Combinatorics |
| Faithful action | Concept | Group theory and generalizations |
| Annihilating polynomial | Concept | Linear and multilinear algebra; matrix theory |
| Skew-symmetric matrix | Concept | Linear and multilinear algebra; matrix theory |
| Multinomial coefficient | Concept | Combinatorics |
| Matrix–vector product | Concept | Linear and multilinear algebra; matrix theory |
| Algebraically closed field | Concept | Field theory and polynomials |
| Divisibility | Concept | Number theory |
| Generating function | Concept | Combinatorics |
| Bernoulli trial | Concept | Probability theory and stochastic processes |
| Null space | Concept | Linear and multilinear algebra; matrix theory |
| Residue | Concept | Functions of a complex variable |
| Composition factors | Concept | Group theory and generalizations |
| Multi-index notation | Concept | Real functions |
| Conservative vector field | Concept | Real functions |
| Limit of a function | Concept | Real functions |
| Random variable | Concept | Probability theory and stochastic processes |
| Identity function | Concept | Mathematical logic and foundations |
| Product of two subgroups | Concept | Group theory and generalizations |
| Algebraic extension | Concept | Field theory and polynomials |
| Linear congruence | Concept | Number theory |
| Maximal ideal | Concept | Commutative algebra |
| Infinite set | Concept | Mathematical logic and foundations |
| Cauchy sequence | Concept | Sequences, series, summability |
| Commutator of two elements | Concept | Group theory and generalizations |
| Liouville number | Concept | Number theory |
| Composition of relations | Concept | Mathematical logic and foundations |
| Affine subspace | Concept | Geometry |
| Closed ball | Concept | General topology |
| Interval | Concept | Real functions |
| Exact equation | Concept | Ordinary differential equations |
| Singular solution | Concept | Ordinary differential equations |
| Linear equation | Concept | Linear and multilinear algebra; matrix theory |
| Domain | Concept | Mathematical logic and foundations |
| Arc length parametrisation | Concept | Differential geometry |
| Second derivative | Concept | Real functions |
| Statistic | Concept | Statistics |
| Derived series | Concept | Group theory and generalizations |
| Galois group of a polynomial | Concept | Field theory and polynomials |
| Regular graph | Concept | Combinatorics |
| Nilpotent group | Concept | Group theory and generalizations |
| Outer automorphism group | Concept | Group theory and generalizations |
| Convergence in probability | Concept | Probability theory and stochastic processes |
| Uniqueness quantifier | Concept | Mathematical logic and foundations |
| Subspace metric | Concept | General topology |
| Contour line | Concept | Real functions |
| Closure | Concept | General topology |
| Alternating series | Concept | Sequences, series, summability |
| Infimum | Concept | Order, lattices, ordered algebraic structures |
| Peano axioms | Concept | Mathematical logic and foundations |
| Fundamental solution of Pell's equation | Concept | Number theory |
| Stochastic process | Concept | Probability theory and stochastic processes |
| Predicate | Concept | Mathematical logic and foundations |
| Orientation of a real vector space | Concept | Linear and multilinear algebra; matrix theory |
| Matrix of a bilinear form | Concept | Linear and multilinear algebra; matrix theory |
| Implicit differentiation | Concept | Real functions |
| Derivative function | Concept | Real functions |
| Element | Concept | Mathematical logic and foundations |
| Product of rings | Concept | Associative rings and algebras |
| Galois extension | Concept | Field theory and polynomials |
| Euclidean vector | Concept | Geometry |
| Contraction mapping | Concept | Operator theory |
| Constructible number | Concept | Field theory and polynomials |
| Linear differential equation of order n | Concept | Ordinary differential equations |
| Asymptotic equivalence | Concept | Approximations and expansions |
| Homeomorphism | Concept | General topology |
| Partial order | Concept | Order, lattices, ordered algebraic structures |
| Distance in a graph | Concept | Combinatorics |
| Integral domain | Concept | Commutative algebra |
| Inner product space | Concept | Linear and multilinear algebra; matrix theory |
| Simply connected domain | Concept | Algebraic topology |
| Order of a zero | Concept | Functions of a complex variable |
| Picard–Lindelöf hypotheses | Concept | Ordinary differential equations |
| Coefficient of a power series | Concept | Commutative algebra |
| Content of a polynomial | Concept | Commutative algebra |
| Supremum | Concept | Order, lattices, ordered algebraic structures |
| Compact set | Concept | General topology |
| Linear Diophantine equation | Concept | Number theory |
| Adjoint of a linear map | Concept | Linear and multilinear algebra; matrix theory |
| One-sided derivative | Concept | Real functions |
| Focus of a conic | Concept | Geometry |
| Quadratic form | Concept | Linear and multilinear algebra; matrix theory |
| Cyclic quadrilateral | Concept | Geometry |
| Indicator function | Concept | Mathematical logic and foundations |
| Boolean ring | Concept | Order, lattices, ordered algebraic structures |
| Picard iteration | Concept | Ordinary differential equations |
| Totally disconnected space | Concept | General topology |
| Complement | Concept | Mathematical logic and foundations |
| LU decomposition | Concept | Linear and multilinear algebra; matrix theory |
| Inner automorphism | Concept | Group theory and generalizations |
| Proper metric space | Concept | General topology |
| Homogeneous first-order equation | Concept | Ordinary differential equations |
| Complex power | Concept | Special functions |
| Positive definite quadratic form | Concept | Linear and multilinear algebra; matrix theory |
| Subgroup generated by a subset | Concept | Group theory and generalizations |
| Prime-counting function | Concept | Number theory |
| Fixed points of an action | Concept | Group theory and generalizations |
| Cauchy product | Concept | Sequences, series, summability |
| Gaussian prime | Concept | Number theory |
| Orthonormal family | Concept | Linear and multilinear algebra; matrix theory |
| Probability theory | Concept | Probability theory and stochastic processes |
| Cartesian coordinate system | Concept | Geometry |
| Completely multiplicative function | Concept | Number theory |
| Separable polynomial | Concept | Field theory and polynomials |
| Interior | Concept | General topology |
| Addition of natural numbers | Concept | Mathematical logic and foundations |
| Hausdorff space | Concept | General topology |
| Image of a homomorphism | Concept | Group theory and generalizations |
| Kernel of a linear map | Concept | Linear and multilinear algebra; matrix theory |
| Surface area | Concept | Measure and integration |
| Spanning tree | Concept | Combinatorics |
| Dot product | Concept | Linear and multilinear algebra; matrix theory |