Math 2.0

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 1951–2007 of 2007.

NameKindSubject
Capacity of a setDefinitionPotential theory
Multiplication by zeroLemmaMathematical logic and foundations
Centralizer and normalizerConcept
Weight (strings)Concept
Commuting graphConcept
Critical numberConceptReal functions
Nonzero subspaces of R^n have a basis and a well-defined dimensionTheoremLinear and multilinear algebra; matrix theory
Rank–nullity theorem for matricesTheoremLinear and multilinear algebra; matrix theory
Nth rootConcept
Free-by-cyclic groupConcept
Monotonic law for multiplication of integersTheoremOrder, lattices, ordered algebraic structures
One is a two-sided multiplicative identity of the natural numbersLemmaMathematical logic and foundations
Holomorph (mathematics)Concept
Z-transformDefinitionIntegral transforms, operational calculus
QuaternaryConcept
Strictly simple groupConcept
Church's thesis (constructive mathematics)Concept
Egyptian fractionConcept
Associativity of multiplication of natural numbersTheoremMathematical logic and foundations
Addition of integers is commutative, associative and cancellativeTheoremNumber theory
Commutativity of multiplication of natural numbersTheoremMathematical logic and foundations
Monotonic law for addition of natural numbersTheoremMathematical logic and foundations
Triangle-free graphs of every chromatic numberPropositionCombinatorics
Spherical braid groupConcept
Picard's theorem for systems with continuous partial derivativesTheoremOrdinary differential equations
Generalized binomial coefficient at minus one halfLemmaCombinatorics
Alternative formula for the variance of a random variablePropositionProbability theory and stochastic processes
General solution of x'' = Ax with distinct nonpositive eigenvaluesTheoremOrdinary differential equations
Lattice (discrete subgroup)Concept
Schröder–Bernstein theorem for finite setsPropositionMathematical logic and foundations
2-groupsConcept
Clebsch invariantConcept
Orthogonality of eigenfunctions of the equation x'' + lambda x = 0 with standard boundary conditionsTheoremOrdinary differential equations
Formula for the number of surjections between finite setsTheoremCombinatorics
BezouticConcept
Jucys–Murphy elementConcept
Inclusion–exclusion formula for elements with none of the propertiesTheoremCombinatorics
Existence and uniqueness for second-order linear initial value problemsTheoremOrdinary differential equations
Group ringDefinitionAssociative rings and algebras
Root systemDefinitionNonassociative rings and algebras
Attainable null spaceDefinitionFunctional analysis
Convolution of central binomial coefficientsCorollaryCombinatorics
Ratio and root limits give the radius of convergenceTheoremFunctions of a complex variable
Recurrence for the falling factorialLemmaCombinatorics
Transitivity of the pair relation for constructing the integersLemmaNumber theory
Arithmetic Fuchsian groupConcept
Oscillation of a functionDefinitionReal functions
InfinityConcept
Limiting proportion of derangementsTheoremCombinatorics
Topological manifoldDefinitionManifolds and cell complexes
Product formula for the totient functionTheoremNumber theory
Division with remainder for natural numbersTheoremNumber theory
Count of integers up to n divisible by a set of primes dividing nPropositionNumber theory
Concave up and concave downConceptReal functions
Addition and multiplication of rationals respect equalityTheoremNumber theory
πConcept
No surjection from the positive integers onto the unit intervalPropositionMathematical logic and foundations