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02-02Notes

A working library of the mathematics behind the analysis.

524 notes in 7 areas, from notation to machine learning. Each takes one formula: what it says, a small worked example, and code that runs. Revised in place. Page 2 of 22.

IndexAll notes

02-02-025ImpliesFoundationsLogic 02-02-026NegationFoundationsLogic 02-02-027There does not existFoundationsLogic 02-02-028There existsFoundationsLogic 02-02-029ThereforeFoundationsLogic 02-02-030CardinalityFoundationsSet theory 02-02-031Cartesian productFoundationsSet theory 02-02-032Element ofFoundationsSet theory 02-02-033Empty setFoundationsSet theory 02-02-034Infinite cardinalityFoundationsSet theory 02-02-035IntersectionFoundationsSet theory 02-02-036Not an element ofFoundationsSet theory 02-02-037Ordered pairFoundationsSet theory 02-02-038Proper subsetFoundationsSet theory 02-02-039Set definitionFoundationsSet theory 02-02-040SubsetFoundationsSet theory 02-02-041UnionFoundationsSet theory 02-02-042Universal setFoundationsSet theory 02-02-043Additive IdentityFoundationsBasic identities 02-02-044Additive InverseFoundationsBasic identities 02-02-045Associative of AdditionFoundationsBasic identities 02-02-046Commutative of AdditionFoundationsBasic identities 02-02-047Commutative of MultiplicationFoundationsBasic identities 02-02-048Distributive LawFoundationsBasic identities