Nodes at W0, stub

A tag, a kind, a name, an inventory row, and a same_as or a source.

Ideas 751–900 of 6044.

Name	Kind	Subject
Joint probability distribution	Concept	Statistics
Inequality of arithmetic and geometric means	Theorem	Real functions
The rationals are countable	Theorem	Mathematical logic and foundations
Definition by recursion	Concept	Mathematical logic and foundations
Transvection	Concept	Linear and multilinear algebra; matrix theory
Conjugate elements	Concept	Group theory and generalizations
Stone's representation theorem for finite Boolean algebras	Theorem	Order, lattices, ordered algebraic structures
Irrationality of the square root of 2	Theorem	Number theory
Length of a vector	Definition	Geometry
Number of nth roots of unity	Theorem	Number theory
Primitive root theorem	Theorem	Number theory
Square root function	Concept	Real functions
Euclidean metric	Example	Geometry
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
Polynomial of an endomorphism	Concept	Linear and multilinear algebra; matrix theory
Algebra of endomorphisms	Object	Linear and multilinear algebra; matrix theory
Base rate fallacy	Example	Statistics
Blow-up in finite time	Example	Ordinary differential equations
Directrix	Concept	Geometry
Convergents converge to the number	Theorem	Number theory
Fermat's Last Theorem for n = 4	Theorem	Number theory
Exponential of a sum	Theorem	Special functions
Independence of two random variables	Definition	Probability theory and stochastic processes
Harmonic series diverges	Theorem	Sequences, series, summability
Chain rule in several variables	Theorem	Real functions
Trigonometric substitution	Concept	Real functions
A composite number has a prime factor at most its square root	Proposition	Number theory
Probability-generating function	Concept	Probability theory and stochastic processes
A finite integral domain is a field	Theorem	Commutative algebra
The multiplicative group of a finite field is cyclic	Corollary	Field theory and polynomials
Interval of convergence	Concept	Functions of a complex variable
Counterexample	Concept	General and overarching topics
Existence of the infimum	Theorem	Real functions
Rule of sum	Theorem	Combinatorics
Continuity at a point	Definition	Real functions
Refinement of a partition	Definition	Real functions
Proof by infinite descent	Concept	Number theory
Formal derivative	Concept	Commutative algebra
Primitive root of unity	Concept	Number theory
Universal property of the abelianisation	Theorem	Group theory and generalizations
Epsilon-delta continuity in metric spaces	Proposition	General topology
Existence of nontrivial solutions of Pell's equation	Theorem	Number theory
Inverse in terms of the adjugate	Corollary	Linear and multilinear algebra; matrix theory
Continuous image of a connected set is connected	Proposition	General topology
Convergence in probability implies convergence in distribution	Theorem	Probability theory and stochastic processes
Constrained optimisation	Concept	Operations research, mathematical programming
Homogeneous linear equation	Definition	Ordinary differential equations
Divisibility by 9	Proposition	Number theory
Existence of an algebraic closure	Theorem	Field theory and polynomials
Domain in the complex plane	Concept	Functions of a complex variable
Impossibility of trisecting the angle	Theorem	Field theory and polynomials
The exponential function is its own derivative	Theorem	Special functions
Iterated derivative	Definition	Real functions
68–95–99.7 rule	Example	Probability theory and stochastic processes
x sin(1/x) is continuous at 0	Example	Real functions
Cauchy's integral formula for derivatives	Theorem	Functions of a complex variable
Set bounded above	Concept	Order, lattices, ordered algebraic structures
Prime elements are irreducible in an integral domain	Proposition	Commutative algebra
Closed and exact forms	Definition	Global analysis, analysis on manifolds
Conditional variance	Definition	Probability theory and stochastic processes
Row echelon form	Definition	Linear and multilinear algebra; matrix theory
Riemann integrable function	Concept	Real functions
Superposition principle	Proposition	Ordinary differential equations
Iterated derivative	Concept	Real functions
Bounded linear maps are continuous	Theorem	Operator theory
Derivative vanishes at a local extremum	Theorem	Real functions
Divisors of a natural number	Concept	Number theory
Quadratic integer	Concept	Number theory
Divergence of a curl is zero	Proposition	Real functions
g to the n equals 1 iff the order divides n	Proposition	Group theory and generalizations
Order on the integers	Definition	Order, lattices, ordered algebraic structures
Greatest common divisor in an integral domain	Definition	Commutative algebra
Convolution of probability distributions	Concept	Probability theory and stochastic processes
Double counting	Concept	Combinatorics
Circumcentre	Concept	Geometry
Absolutely convergent improper integral	Concept	Sequences, series, summability
Closed subsets of complete spaces are complete	Proposition	General topology
Evaluation homomorphism	Concept	Commutative algebra
Divisors of a natural number	Definition	Number theory
The gamma function extends the factorial	Theorem	Special functions
Reachability	Concept	Combinatorics
A subgroup whose index is the smallest prime divisor of the order is normal	Theorem	Group theory and generalizations
e as the limit of (1 + 1/n)^n	Proposition	Real functions
Twin prime conjecture	Conjecture	Number theory
Universal property of the quotient topology	Theorem	General topology
Construction of the rationals as fractions	Concept	Commutative algebra
Preimage of a set	Definition	Mathematical logic and foundations
The reals form a field	Theorem	Field theory and polynomials
Characterization of bridges	Theorem	Combinatorics
Epsilon-delta uniform continuity	Proposition	General topology
Group of units of a monoid	Concept	Group theory and generalizations
Chromatic number of a complete bipartite graph	Proposition	Combinatorics
Maximum degree	Concept	Combinatorics
Triangle inequality for norms	Proposition	Functional analysis
Simultaneous diagonalisation	Theorem	Linear and multilinear algebra; matrix theory
Even and odd functions	Concept	Real functions
Reduced word	Definition	Group theory and generalizations
Convergence of random variables	Concept	Probability theory and stochastic processes
Sequential compactness	Concept	General topology
The complex numbers form a field	Theorem	Field theory and polynomials
Grönwall bound	Definition	Ordinary differential equations
Trace is a coefficient of the characteristic polynomial	Proposition	Linear and multilinear algebra; matrix theory
Infinite pigeonhole principle	Theorem	Combinatorics
Determinant of a matrix with a zero row	Proposition	Linear and multilinear algebra; matrix theory
Reversing a path changes the sign of a line integral	Proposition	Real functions
Multiplicativity of the totient function	Theorem	Number theory
Transposition	Concept	Group theory and generalizations
Algebraic multiplicity	Concept	Linear and multilinear algebra; matrix theory
Cyclic group of order n	Example	Group theory and generalizations
Transcendence of pi	Theorem	Number theory
Eigenspace	Concept	Linear and multilinear algebra; matrix theory
Galton–Watson process	Concept	Probability theory and stochastic processes
The complex exponential is entire	Proposition	Special functions
Continuous dependence on initial data	Theorem	Ordinary differential equations
Automorphism group of a cyclic group	Theorem	Group theory and generalizations
Sum of the reciprocals of the factorials	Example	Sequences, series, summability
Completion of a metric space	Definition	General topology
Oriented angle	Definition	Geometry
Equilibrium point	Definition	Ordinary differential equations
Derivative of the inverse function	Proposition	Real functions
Cauchy sequences are bounded	Proposition	Sequences, series, summability
Vector projection	Definition	Geometry
Parametrised curve	Concept	Differential geometry
Uniqueness of the complete ordered field	Theorem	Field theory and polynomials
Inscribed angle theorem	Theorem	Geometry
Derivative of arcsine	Proposition	Special functions
Fibonacci sequence	Example	Number theory
Independence of two random variables	Concept	Probability theory and stochastic processes
Epsilon-delta definition of a limit	Proposition	Real functions
Mutual independence of events	Definition	Probability theory and stochastic processes
Normal core	Concept	Group theory and generalizations
Induction from an arbitrary base case	Theorem	Mathematical logic and foundations
Subfield	Concept	Field theory and polynomials
Forest	Concept	Combinatorics
General solution of an inhomogeneous linear equation	Theorem	Ordinary differential equations
Polynomial evaluation	Definition	Commutative algebra
Universal property of the quotient group	Theorem	Group theory and generalizations
Angle at a point	Concept	Geometry
Cancellation in an integral domain	Proposition	Commutative algebra
Trace is linear	Proposition	Linear and multilinear algebra; matrix theory
Addition formulas for hyperbolic functions	Proposition	Special functions
Function for which the iterated integrals differ	Counterexample	Real functions
Solution space of a homogeneous linear equation has dimension n	Theorem	Ordinary differential equations
The alternating group A5 is simple	Example	Group theory and generalizations
Absolute value is multiplicative	Proposition	Real functions
Nilpotent groups are solvable	Proposition	Group theory and generalizations
Chain	Definition	Order, lattices, ordered algebraic structures
Complete residue system	Concept	Number theory