Every idea

Ideas 1351–1500 of 7806.

Name	Kind	Subject
Complex plane	Concept	Functions of a complex variable
Box topology	Definition	General topology
Triangle	Concept	Geometry
Real sequence	Definition	Sequences, series, summability
Partition function	Concept	Number theory
Convergent series	Definition	Sequences, series, summability
Annulus	Concept	Functions of a complex variable
Arccosine	Concept	Special functions
Improper multiple integral	Concept	Real functions
Automorphism group	Definition	Group theory and generalizations
Integrating factor for a non-exact equation	Concept	Ordinary differential equations
Harmonic series	Example	Sequences, series, summability
First isomorphism theorem	Theorem	Group theory and generalizations
Linearity of the derivative	Proposition	Real functions
Transitive relation	Definition	Mathematical logic and foundations
Derivative of a continuous linear map	Proposition	Real functions
Singular solution	Definition	Ordinary differential equations
Contractive sequence	Definition	Sequences, series, summability
Closed curve	Definition	Differential geometry
Martingale	Concept	Probability theory and stochastic processes
Fibonacci recurrence	Fact	Number theory
Dense set	Definition	General topology
Tautology	Definition	Mathematical logic and foundations
Complex differentiability	Definition	Functions of a complex variable
Geometric sequence	Concept	Sequences, series, summability
Correspondence theorem for rings	Theorem	Associative rings and algebras
Conjugate elements	Definition	Group theory and generalizations
Restriction of a function	Definition	Mathematical logic and foundations
A set is closed iff it equals its closure	Corollary	General topology
Harmonic number	Definition	Number theory
Integration by substitution	Theorem	Real functions
Consecutive Fibonacci numbers are coprime	Theorem	Number theory
Order isomorphism	Concept	Order, lattices, ordered algebraic structures
Rouché's theorem	Theorem	Functions of a complex variable
Convergents of a continued fraction	Concept	Number theory
Baire space	Definition	General topology
Subspace topology	Definition	General topology
A continuous injective function on an interval is strictly monotone	Theorem	Real functions
Probability mass function	Concept	Probability theory and stochastic processes
Polynomial ring over a UFD is a UFD	Theorem	Commutative algebra
Power series in the complex plane	Concept	Functions of a complex variable
Unitary matrix	Definition	Linear and multilinear algebra; matrix theory
Conjugate subgroup	Definition	Group theory and generalizations
Zero is not a successor	Axiom	Mathematical logic and foundations
Binary tree	Concept	Combinatorics
The exponential function is convex	Proposition	Real functions
Bridge	Definition	Combinatorics
Variance of a sum	Proposition	Probability theory and stochastic processes
Construction of the reals from Cauchy sequences	Concept	Real functions
Limits are unique in Hausdorff spaces	Proposition	General topology
Connected space	Definition	General topology
Tangent vector of a curve	Definition	Differential geometry
Uniqueness of inverses	Proposition	Group theory and generalizations
Straightedge and compass construction	Concept	Geometry
Euler's totient function	Concept	Number theory
Probability axioms	Concept	Probability theory and stochastic processes
Mean of the geometric distribution	Proposition	Probability theory and stochastic processes
Matrix of the adjoint is the conjugate transpose	Proposition	Linear and multilinear algebra; matrix theory
Torsion subgroup	Concept	Group theory and generalizations
Open ball	Definition	General topology
Expected value	Definition	Probability theory and stochastic processes
Two-sided ideal	Definition	Associative rings and algebras
Right inverse	Definition	Mathematical logic and foundations
Elementary row operations	Definition	Linear and multilinear algebra; matrix theory
Harmonic function	Concept	Potential theory
Conjugacy class	Concept	Group theory and generalizations
Gaussian integral	Example	Real functions
Strong law of large numbers	Theorem	Probability theory and stochastic processes
Finite extensions are algebraic	Proposition	Field theory and polynomials
Commutativity of addition	Theorem	Mathematical logic and foundations
Holomorphic function	Definition	Functions of a complex variable
Cauchy's integral formula	Theorem	Functions of a complex variable
Alternating bilinear form	Concept	Linear and multilinear algebra; matrix theory
Spectral theorem for Hermitian matrices	Theorem	Linear and multilinear algebra; matrix theory
Order of a permutation is the lcm of its cycle lengths	Proposition	Group theory and generalizations
Covariance	Definition	Probability theory and stochastic processes
Upper central series	Definition	Group theory and generalizations
Estimation lemma	Lemma	Functions of a complex variable
Quadratic residue	Concept	Number theory
Cosets have the same cardinality as the subgroup	Proposition	Group theory and generalizations
Random variable	Definition	Probability theory and stochastic processes
Basel problem	Theorem	Sequences, series, summability
Correlation coefficient	Concept	Statistics
Linear equation	Definition	Linear and multilinear algebra; matrix theory
Degree of a polynomial	Definition	Commutative algebra
Surface integral	Definition	Real functions
Slope field	Concept	Ordinary differential equations
K[x] is a Euclidean domain	Theorem	Commutative algebra
Universal property of the polynomial ring	Theorem	Commutative algebra
Well-founded relation	Concept	Mathematical logic and foundations
Bézout's identity	Theorem	Number theory
Joint probability distribution	Concept	Statistics
Inequality of arithmetic and geometric means	Theorem	Real functions
Closure	Definition	General topology
Galois extension	Definition	Field theory and polynomials
Fundamental system of solutions	Concept	Ordinary differential equations
The rationals are countable	Theorem	Mathematical logic and foundations
Definition by recursion	Concept	Mathematical logic and foundations
Set difference	Definition	Mathematical logic and foundations
Transvection	Concept	Linear and multilinear algebra; matrix theory
Index of a subgroup	Concept	Group theory and generalizations
Linear span	Concept	Linear and multilinear algebra; matrix theory
Probability distribution	Concept	Probability theory and stochastic processes
Conjugate elements	Concept	Group theory and generalizations
Conjugate transpose	Concept	Linear and multilinear algebra; matrix theory
Stone's representation theorem for finite Boolean algebras	Theorem	Order, lattices, ordered algebraic structures
Centre of a group	Concept	Group theory and generalizations
Free module	Concept	Associative rings and algebras
Irrationality of the square root of 2	Theorem	Number theory
Nilpotent group	Definition	Group theory and generalizations
Length of a vector	Definition	Geometry
Irrational number	Concept	Number theory
Number of nth roots of unity	Theorem	Number theory
Jordan–Hölder theorem	Theorem	Group theory and generalizations
Laplacian	Concept	Partial differential equations
Primitive root theorem	Theorem	Number theory
Square root function	Concept	Real functions
Euclidean metric	Example	Geometry
Riccati equation	Definition	Ordinary differential equations
Complete residue system	Definition	Number theory
Orbit-stabiliser theorem	Theorem	Group theory and generalizations
Dimension of the orthogonal complement	Corollary	Linear and multilinear algebra; matrix theory
Differential form	Concept	Global analysis, analysis on manifolds
Polynomial of an endomorphism	Concept	Linear and multilinear algebra; matrix theory
Algebra of endomorphisms	Object	Linear and multilinear algebra; matrix theory
Limit point	Concept	General topology
Base rate fallacy	Example	Statistics
Blow-up in finite time	Example	Ordinary differential equations
Cayley table	Definition	Group theory and generalizations
Directrix	Concept	Geometry
Law of total probability	Theorem	Probability theory and stochastic processes
Convergents converge to the number	Theorem	Number theory
Fermat's Last Theorem for n = 4	Theorem	Number theory
Riemann rearrangement theorem	Theorem	Sequences, series, summability
Casting out nines	Concept	Number theory
Similar matrices	Concept	Linear and multilinear algebra; matrix theory
Exponential of a sum	Theorem	Special functions
Independence of two random variables	Definition	Probability theory and stochastic processes
Exponential distribution	Concept	Probability theory and stochastic processes
Range of a function	Definition	Mathematical logic and foundations
Harmonic series diverges	Theorem	Sequences, series, summability
Ceiling function	Concept	Real functions
Division ring	Concept	Field theory and polynomials
Chain rule in several variables	Theorem	Real functions
Degree of a field extension	Concept	Field theory and polynomials
Trigonometric substitution	Concept	Real functions
A composite number has a prime factor at most its square root	Proposition	Number theory
Invertible matrix	Concept	Linear and multilinear algebra; matrix theory
Cardinal number	Concept	Mathematical logic and foundations
Probability-generating function	Concept	Probability theory and stochastic processes