Every idea

Ideas 751–900 of 7806.

Name	Kind	Subject
Initial value problem	Definition	Ordinary differential equations
Path graph	Example	Combinatorics
Uniqueness of the derivative	Proposition	Real functions
Matrix multiplication	Definition	Linear and multilinear algebra; matrix theory
Even and odd permutations	Definition	Group theory and generalizations
Independent random variables are uncorrelated	Proposition	Probability theory and stochastic processes
Determinant of the inverse	Proposition	Linear and multilinear algebra; matrix theory
Orthogonal complement	Definition	Linear and multilinear algebra; matrix theory
Transcendental number	Definition	Number theory
Autonomous system	Definition	Ordinary differential equations
Nilpotent matrix	Concept	Linear and multilinear algebra; matrix theory
Continuity of the inverse of a strictly monotone continuous function	Theorem	Real functions
Conjunctive normal form	Definition	Mathematical logic and foundations
Group of units of a ring	Concept	Associative rings and algebras
Convolution of probability distributions	Definition	Probability theory and stochastic processes
Taxicab metric	Example	Geometry
Classification of finite abelian groups	Theorem	Group theory and generalizations
Cycle	Definition	Combinatorics
Lcm of coprime integers	Corollary	Number theory
Lipschitz maps are uniformly continuous	Proposition	Real functions
Incircle	Concept	Geometry
Integrating factor	Concept	Ordinary differential equations
Bipartite graph	Definition	Combinatorics
Cauchy–Hadamard theorem	Theorem	Functions of a complex variable
Disjoint cycles commute	Proposition	Group theory and generalizations
Limit point of a set	Definition	Real functions
Composition of surjections is surjective	Proposition	Mathematical logic and foundations
Grönwall's inequality	Lemma	Real functions
Newton's method	Concept	Numerical analysis
Signature of a quadratic form	Concept	Linear and multilinear algebra; matrix theory
Complex exponential	Concept	Special functions
Polynomials in several variables	Concept	Commutative algebra
Convex function on R^n	Concept	Real functions
Function composition	Definition	Mathematical logic and foundations
Circulant matrix	Example	Linear and multilinear algebra; matrix theory
Pépin's test	Theorem	Number theory
A function with positive derivative is strictly increasing	Corollary	Real functions
Order on the integers	Concept	Order, lattices, ordered algebraic structures
Dual space	Concept	Linear and multilinear algebra; matrix theory
Linear first-order equation	Concept	Ordinary differential equations
i squared is minus one	Proposition	Field theory and polynomials
Union	Definition	Mathematical logic and foundations
If 2^p − 1 is prime then p is prime	Proposition	Number theory
Continuity at a point of a topological space	Definition	General topology
Fermat's Last Theorem for n = 3	Theorem	Number theory
Liouville function	Concept	Number theory
Menelaus's theorem	Theorem	Geometry
Picard operator	Concept	Ordinary differential equations
Heine–Borel theorem	Theorem	General topology
Jordan block	Concept	Linear and multilinear algebra; matrix theory
Generalised eigenspace	Definition	Linear and multilinear algebra; matrix theory
Trace of a matrix	Definition	Linear and multilinear algebra; matrix theory
Möbius inversion formula	Theorem	Number theory
Convex function	Concept	Real functions
Subfield	Definition	Field theory and polynomials
Third isomorphism theorem for vector spaces	Theorem	Linear and multilinear algebra; matrix theory
Uniform continuity on a set	Concept	Real functions
Divisibility in a commutative ring	Concept	Commutative algebra
Normal distribution	Definition	Probability theory and stochastic processes
Equation of a plane	Concept	Geometry
T0 space	Concept	General topology
Linear isometry	Concept	Linear and multilinear algebra; matrix theory
Diagonalisable matrix	Concept	Linear and multilinear algebra; matrix theory
Derivatives of the hyperbolic functions	Proposition	Special functions
Distance from a point to a set	Definition	General topology
Trajectory	Concept	Dynamical systems and ergodic theory
Recurrence relation	Definition	Difference and functional equations
Young's inequality for products	Theorem	Real functions
Solution of an ordinary differential equation	Concept	Ordinary differential equations
Adjugate matrix	Concept	Linear and multilinear algebra; matrix theory
Inverse Laplace transform	Concept	Integral transforms, operational calculus
Identity element	Concept	General algebraic systems
Derivative of the logarithm	Theorem	Special functions
Algebra of limits	Concept	Sequences, series, summability
Image of a set	Concept	Mathematical logic and foundations
Median	Concept	Probability theory and stochastic processes
Linear form	Concept	Linear and multilinear algebra; matrix theory
Differentiable functions are continuous	Proposition	Real functions
Anticommutativity of the cross product	Proposition	Linear and multilinear algebra; matrix theory
Every integer is a square times a square-free integer	Proposition	Number theory
Linearity of the integral	Theorem	Real functions
Irrational number	Definition	Number theory
Rational root theorem	Theorem	Field theory and polynomials
Phase line	Concept	Ordinary differential equations
Linear recurrence with constant coefficients	Definition	Difference and functional equations
Analytic function	Concept	Real functions
Finite p-groups are nilpotent	Theorem	Group theory and generalizations
Directrix	Definition	Geometry
Holomorphic functions are analytic	Theorem	Functions of a complex variable
Finitely generated group	Concept	Group theory and generalizations
Abelian group	Concept	Group theory and generalizations
Absolutely convergent series in a Banach space converge	Theorem	Sequences, series, summability
Equivalence class	Definition	Mathematical logic and foundations
Successor function	Definition	Mathematical logic and foundations
Intersection of a family of sets	Definition	Mathematical logic and foundations
Number of prime factors counted with multiplicity	Definition	Number theory
Fundamental theorem of arithmetic	Theorem	Number theory
Higher derivative	Definition	Real functions
P-adic valuation of a product	Proposition	Number theory
Subring	Definition	Associative rings and algebras
Angle bisector theorem	Theorem	Geometry
Walk	Concept	Combinatorics
Jordan normal form	Theorem	Linear and multilinear algebra; matrix theory
Law of quadratic reciprocity	Theorem	Number theory
Group isomorphism	Definition	Group theory and generalizations
Fermat's right triangle theorem	Theorem	Number theory
Mean of the Poisson distribution	Proposition	Probability theory and stochastic processes
Predicate logic	Concept	Mathematical logic and foundations
Graph colouring	Definition	Combinatorics
Isometry	Definition	General topology
von Mangoldt function	Definition	Number theory
Statistical hypothesis test	Concept	Statistics
Translation	Concept	Geometry
Positive semidefinite matrix	Definition	Linear and multilinear algebra; matrix theory
Chevalley–Warning theorem	Theorem	Number theory
Spanning set	Concept	Linear and multilinear algebra; matrix theory
Ring	Definition	Associative rings and algebras
Periodic function	Definition	Real functions
Cyclic subgroup generated by an element	Concept	Group theory and generalizations
Divergence part of the ratio test	Proposition	Sequences, series, summability
Moment of inertia	Concept	Real functions
Independent set	Concept	Combinatorics
Diophantine equation	Concept	Number theory
Adjacency matrix	Concept	Combinatorics
Class equation	Theorem	Group theory and generalizations
Product of primitive polynomials is primitive	Theorem	Commutative algebra
Existence of an eigenvalue over an algebraically closed field	Theorem	Linear and multilinear algebra; matrix theory
Binary relation	Definition	Mathematical logic and foundations
Equinumerous sets	Definition	Mathematical logic and foundations
Fréchet derivative	Definition	Functional analysis
Complete metric space	Definition	General topology
Product of cyclic groups is cyclic iff the orders are coprime	Theorem	Group theory and generalizations
Group of units of a monoid	Definition	Group theory and generalizations
Homomorphisms preserve identity and inverses	Proposition	Group theory and generalizations
Uniform convergence	Definition	Sequences, series, summability
Product of countable sets is countable	Proposition	Mathematical logic and foundations
Floor function	Concept	Real functions
Uniform convergence on a set	Definition	Sequences, series, summability
Exterior algebra	Definition	Linear and multilinear algebra; matrix theory
Real numbers	Object	Real functions
Tutte's theorem	Theorem	Combinatorics
Fixed points of an action	Definition	Group theory and generalizations
Cyclotomic polynomial	Concept	Number theory
Group isomorphism	Concept	Group theory and generalizations
Distributive laws for sets	Theorem	Mathematical logic and foundations
Infinite limit	Definition	Real functions
Norm	Definition	Functional analysis
Sequence spaces lp	Example	Functional analysis
Lower central series	Definition	Group theory and generalizations
Product formula for the order of HK	Proposition	Group theory and generalizations