Every idea

Ideas 3151–3300 of 7806.

Name	Kind	Subject
Handshaking lemma	Theorem	Combinatorics
Simple continued fraction	Concept	Number theory
Poisson distribution	Concept	Probability theory and stochastic processes
Negative binomial distribution	Concept	Probability theory and stochastic processes
Trace of a matrix	Concept	Linear and multilinear algebra; matrix theory
Independence of random variables	Definition	Probability theory and stochastic processes
Cantor's diagonal argument	Concept	Mathematical logic and foundations
Geometric distribution	Definition	Probability theory and stochastic processes
Wallis product	Theorem	Number theory
Number of elements of each order in a cyclic group	Theorem	Group theory and generalizations
Monotonicity of the cumulative distribution function	Proposition	Probability theory and stochastic processes
Jacobi symbol	Definition	Number theory
Rational function	Concept	Real functions
Even and odd functions	Definition	Real functions
Reflexive relation	Definition	Mathematical logic and foundations
Multinomial theorem	Theorem	Combinatorics
Euler's partition theorem	Theorem	Combinatorics
Meagre set	Concept	General topology
Archimedean ordered field	Concept	Field theory and polynomials
Function	Definition	Mathematical logic and foundations
Finitely generated module	Definition	Commutative algebra
Derangement	Concept	Combinatorics
K-colourable graph	Concept	Combinatorics
Indiscrete topology	Example	General topology
Consistent estimator	Definition	Statistics
Orthogonal complement	Concept	Linear and multilinear algebra; matrix theory
Order of a differential equation	Concept	Ordinary differential equations
Decomposition of a permutation into transpositions	Theorem	Group theory and generalizations
Length of a vector	Concept	Geometry
Surjective function	Definition	Mathematical logic and foundations
Periodic continued fraction	Definition	Number theory
Poisson limit theorem	Theorem	Probability theory and stochastic processes
Limit of a sequence	Definition	Sequences, series, summability
Coordinate space	Object	Linear and multilinear algebra; matrix theory
Sieve of Eratosthenes	Concept	Number theory
Semigroup	Concept	Group theory and generalizations
Squeeze theorem	Theorem	Sequences, series, summability
Multivariate normal distribution	Concept	Statistics
Equicontinuity	Concept	General topology
Negative binomial distribution	Definition	Probability theory and stochastic processes
Acyclic graph	Definition	Combinatorics
Rotation	Definition	Geometry
Cofactor	Concept	Linear and multilinear algebra; matrix theory
Euclidean space	Object	Geometry
Spectrum of a matrix	Concept	Linear and multilinear algebra; matrix theory
Laplacian	Definition	Partial differential equations
Greatest element	Concept	Order, lattices, ordered algebraic structures
Negation	Definition	Mathematical logic and foundations
Method of undetermined coefficients	Concept	Ordinary differential equations
Farey sequence	Concept	Number theory
Prime-counting function	Definition	Number theory
Dini's theorem	Theorem	Sequences, series, summability
Eisenstein's lemma	Lemma	Number theory
Linear isomorphism	Definition	Linear and multilinear algebra; matrix theory
Cluster point of a sequence	Concept	Sequences, series, summability
Galois group	Concept	Field theory and polynomials
Composition series	Concept	Group theory and generalizations
Unit of a ring	Concept	Associative rings and algebras
The principal logarithm is holomorphic off the branch cut	Proposition	Special functions
Galois group	Definition	Field theory and polynomials
Upper central series	Concept	Group theory and generalizations
Euclidean plane	Object	Geometry
Median of a triangle	Concept	Geometry
A root of an integer is an integer or irrational	Theorem	Number theory
Factorial	Concept	Combinatorics
Second fundamental theorem of calculus	Theorem	Real functions
Normal matrix	Definition	Linear and multilinear algebra; matrix theory
Normal vector	Definition	Geometry
De Morgan's laws in a Boolean algebra	Proposition	Order, lattices, ordered algebraic structures
Direct sum of subspaces	Concept	Linear and multilinear algebra; matrix theory
Disjoint sets	Concept	Mathematical logic and foundations
Rooted tree	Concept	Combinatorics
Graph of a function	Definition	Mathematical logic and foundations
Modus ponens	Concept	Mathematical logic and foundations
Inflection point	Definition	Real functions
Absolutely convergent series converge	Theorem	Sequences, series, summability
Limit at infinity	Definition	Real functions
Diagonalisable matrix	Definition	Linear and multilinear algebra; matrix theory
Catalan recurrence	Theorem	Combinatorics
Orthogonal vectors	Concept	Linear and multilinear algebra; matrix theory
Gauss–Wantzel theorem	Theorem	Field theory and polynomials
Series of functions	Concept	Sequences, series, summability
The order modulo p divides p − 1	Corollary	Number theory
Trace of a product is symmetric	Proposition	Linear and multilinear algebra; matrix theory
Brooks' theorem	Theorem	Combinatorics
Level set	Definition	Real functions
Outcome	Definition	Probability theory and stochastic processes
Centroid	Definition	Geometry
Fermat's Last Theorem	Theorem	Number theory
Tail sum formula for expectation	Proposition	Probability theory and stochastic processes
Variation of parameters	Concept	Ordinary differential equations
Order isomorphism	Definition	Order, lattices, ordered algebraic structures
Matrix addition	Concept	Linear and multilinear algebra; matrix theory
Directional derivative	Definition	Real functions
K-colourable graph	Definition	Combinatorics
Existence of an orthonormal basis	Theorem	Linear and multilinear algebra; matrix theory
Sequence of functions	Concept	Sequences, series, summability
Distinct eigenvalues imply diagonalisable	Corollary	Linear and multilinear algebra; matrix theory
Binary trees are counted by Catalan numbers	Theorem	Combinatorics
Second derivative	Definition	Real functions
Order on the natural numbers	Definition	Mathematical logic and foundations
Characteristic polynomial of a linear recurrence	Concept	Difference and functional equations
Primitive element of a finite field	Definition	Field theory and polynomials
Mersenne number	Concept	Number theory
Conditional expectation	Definition	Probability theory and stochastic processes
Cayley table	Concept	Group theory and generalizations
Absorbing Markov chain	Definition	Probability theory and stochastic processes
Absolute convergence	Concept	Sequences, series, summability
Comparability of cardinals	Theorem	Mathematical logic and foundations
Groups of order pq	Example	Group theory and generalizations
Identity theorem	Theorem	Functions of a complex variable
Term-by-term integration	Theorem	Sequences, series, summability
Matrix exponential as the solution of a linear system	Theorem	Ordinary differential equations
Augmented matrix	Definition	Linear and multilinear algebra; matrix theory
Open map	Concept	General topology
Seven Bridges of Königsberg	Example	Combinatorics
Universal property of the tensor product	Theorem	Linear and multilinear algebra; matrix theory
Open ball	Concept	General topology
Cayley graph	Definition	Combinatorics
Combinations with repetition	Definition	Combinatorics
Divisor function	Definition	Number theory
Jacobian matrix	Definition	Real functions
Similar triangles	Concept	Geometry
Continuity via open sets	Theorem	General topology
Harmonic oscillator	Example	Mechanics of particles and systems
Normaliser	Concept	Group theory and generalizations
Sum of independent Poisson random variables	Proposition	Probability theory and stochastic processes
Irrationality of the square root of a prime	Theorem	Number theory
Integers modulo n as a quotient group	Example	Group theory and generalizations
Order of a pole	Definition	Functions of a complex variable
Hilbert's basis theorem	Theorem	Commutative algebra
Essential singularity	Definition	Functions of a complex variable
Principal branch	Definition	Functions of a complex variable
Existence of nth roots of complex numbers	Theorem	Field theory and polynomials
Affine span	Concept	Geometry
Power series are holomorphic in the disc of convergence	Theorem	Functions of a complex variable
Free abelian group	Definition	Group theory and generalizations
Irreducible element	Concept	Commutative algebra
Simple group	Concept	Group theory and generalizations
Direct product of groups	Definition	Group theory and generalizations
Flux through a surface	Definition	Real functions
Fundamental theorem of contour integration	Theorem	Functions of a complex variable
Orbit	Concept	Group theory and generalizations
Intersecting chords theorem	Theorem	Geometry
Matrix of a linear map	Concept	Linear and multilinear algebra; matrix theory
Pascal's rule	Theorem	Combinatorics
Closed balls are closed	Proposition	General topology
Line integral of a vector field	Definition	Real functions
Ordinal number	Concept	Mathematical logic and foundations
Group action	Definition	Group theory and generalizations