Nodes at W1, stated

The main section of the kind, a source with a locator, and a body that passes the rules B01 to B03.

Ideas 451–600 of 1702.

Name	Kind	Subject
Conditional probability	Concept	Probability theory and stochastic processes
Commutativity	Concept	General algebraic systems
Dirac measure	Definition	Measure and integration
Converse	Concept	Mathematical logic and foundations
Cross-ratio	Concept	Functions of a complex variable
Discrete logarithm	Definition	Number theory
Heaviside step function	Object	Real functions
Partition of a set	Definition	Mathematical logic and foundations
Cartesian product	Concept	Mathematical logic and foundations
Transpose	Concept	Linear and multilinear algebra; matrix theory
Partial derivative	Concept	Real functions
Algebraic extension	Definition	Field theory and polynomials
Complex numbers	Object	Functions of a complex variable
Dihedral group	Definition	Group theory and generalizations
Outer automorphism group	Definition	Group theory and generalizations
Euler's polyhedron formula	Theorem	Convex and discrete geometry
Maximal ideal	Definition	Commutative algebra
Propositional logic	Concept	Mathematical logic and foundations
Metrizable space	Definition	General topology
Injective function	Concept	Mathematical logic and foundations
De Morgan's laws	Theorem	Mathematical logic and foundations
Prüfer sequence	Definition	Combinatorics
Bounded set	Concept	General topology
Removable singularity	Concept	Functions of a complex variable
Partial sum	Concept	Sequences, series, summability
Student's t-distribution	Concept	Probability theory and stochastic processes
Integral domain	Definition	Commutative algebra
Least common multiple	Definition	Number theory
Subbasis	Concept	General topology
Independent sigma-algebras	Definition	Probability theory and stochastic processes
Module over a ring	Definition	Associative rings and algebras
Singular value	Concept	Linear and multilinear algebra; matrix theory
Local minimum	Concept	Real functions
Affine space	Concept	Geometry
Isolated point	Concept	General topology
Convergence in mean	Concept	Probability theory and stochastic processes
Pseudometric space	Concept	General topology
Boolean function	Definition	Order, lattices, ordered algebraic structures
Differentiable function	Definition	Real functions
Baire category theorem	Theorem	General topology
Monotone function	Concept	Order, lattices, ordered algebraic structures
Chi-squared distribution	Concept	Probability theory and stochastic processes
Schröder–Bernstein theorem	Theorem	Mathematical logic and foundations
Limit cycle	Concept	Ordinary differential equations
Gradient	Concept	Real functions
Dirac measure	Concept	Measure and integration
Invariant subspace	Concept	Linear and multilinear algebra; matrix theory
Jacobi symbol	Concept	Number theory
Prime factorization	Definition	Number theory
Pell's equation	Definition	Number theory
Convergent series	Concept	Sequences, series, summability
Collinear points	Concept	Geometry
Vertex cover	Concept	Combinatorics
Annulus	Definition	Functions of a complex variable
Normal space	Definition	General topology
Step function	Concept	Real functions
Stokes' theorem	Theorem	Real functions
Multiplicative function	Definition	Number theory
Edge set	Concept	Combinatorics
Differentiation under the integral sign	Theorem	Real functions
Unitary matrix	Concept	Linear and multilinear algebra; matrix theory
Continuous uniform distribution	Concept	Probability theory and stochastic processes
Block matrix	Concept	Linear and multilinear algebra; matrix theory
Commutator subgroup	Concept	Group theory and generalizations
Mathematical induction	Concept	Mathematical logic and foundations
Ceiling function	Definition	Real functions
Periodic function	Concept	Real functions
Lipschitz condition	Concept	Real functions
Symmetric bilinear form	Concept	Linear and multilinear algebra; matrix theory
Convergent sequence	Definition	Sequences, series, summability
Ring	Concept	Associative rings and algebras
Complement	Definition	Mathematical logic and foundations
Cauchy product	Definition	Sequences, series, summability
Gaussian integer	Definition	Number theory
Möbius transformation	Definition	Functions of a complex variable
Conjunctive normal form	Concept	Mathematical logic and foundations
Quantile function	Definition	Probability theory and stochastic processes
Independent sigma-algebras	Concept	Probability theory and stochastic processes
Edge colouring	Concept	Combinatorics
Chromatic polynomial	Concept	Combinatorics
Lexicographic order	Concept	Order, lattices, ordered algebraic structures
Gamma distribution	Concept	Probability theory and stochastic processes
Order of a group	Concept	Group theory and generalizations
Essential singularity	Concept	Functions of a complex variable
Universal quantifier	Definition	Mathematical logic and foundations
Lattice of subgroups	Concept	Group theory and generalizations
Linear isomorphism	Concept	Linear and multilinear algebra; matrix theory
Mathematical proof	Concept	General and overarching topics
Cauchy condensation test	Theorem	Sequences, series, summability
Bridge	Concept	Combinatorics
Mean value theorem	Theorem	Real functions
Finite set	Definition	Mathematical logic and foundations
Power set	Definition	Mathematical logic and foundations
Pivot	Definition	Linear and multilinear algebra; matrix theory
Banach space	Definition	Functional analysis
Monic polynomial	Definition	Commutative algebra
Smooth function	Definition	Real functions
Tensor product of vector spaces	Concept	Linear and multilinear algebra; matrix theory
Subset	Concept	Mathematical logic and foundations
Complex conjugate	Definition	Functions of a complex variable
Continued fraction	Definition	Number theory
Hölder's inequality for sums	Theorem	Real functions
Number of divisors	Definition	Number theory
Line	Definition	Geometry
Universal set	Definition	Mathematical logic and foundations
Permutation	Definition	Combinatorics
Quotient space	Concept	Linear and multilinear algebra; matrix theory
Inverse element	Definition	General algebraic systems
Quotient rule	Theorem	Real functions
Set	Concept	Mathematical logic and foundations
Dense set	Concept	General topology
Polar coordinates	Concept	Geometry
Squaring the circle	Problem	Geometry
Minor	Concept	Linear and multilinear algebra; matrix theory
Borel sigma-algebra	Definition	Measure and integration
Matrix addition	Definition	Linear and multilinear algebra; matrix theory
Bias of an estimator	Concept	Statistics
Box topology	Concept	General topology
Implicit function theorem	Theorem	Real functions
Having a gradient	Definition	Real functions
Complete metric space	Concept	General topology
Clique	Concept	Combinatorics
Random walk	Definition	Probability theory and stochastic processes
Simple group	Definition	Group theory and generalizations
pi	Object	Number theory
Finite extension	Concept	Field theory and polynomials
Family of sets	Concept	Mathematical logic and foundations
Hamiltonian system	Definition	Dynamical systems and ergodic theory
Interior	Definition	General topology
Determinant	Definition	Linear and multilinear algebra; matrix theory
Monic polynomial	Concept	Commutative algebra
Integers	Object	Number theory
Bernstein polynomial	Definition	Approximations and expansions
Chromatic number	Definition	Combinatorics
Codomain	Concept	Mathematical logic and foundations
Multigraph	Concept	Combinatorics
Tangent line to a circle	Definition	Geometry
Cartesian product	Definition	Mathematical logic and foundations
Normal operator	Concept	Operator theory
Möbius function	Definition	Number theory
Greatest common divisor	Concept	Number theory
Euclidean distance	Definition	Geometry
Rooted tree	Definition	Combinatorics
Altitude of a triangle	Concept	Geometry
Kurtosis	Definition	Statistics
Normal extension	Definition	Field theory and polynomials
Discriminant of a polynomial	Definition	Field theory and polynomials
Two-sided ideal	Concept	Associative rings and algebras
Riemann sphere	Definition	Functions of a complex variable
Martingale	Definition	Probability theory and stochastic processes