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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 3 of 22.

IndexAll notes

02-02-049Multiplicative IdentityFoundationsBasic identities 02-02-050Multiplicative InverseFoundationsBasic identities 02-02-051ArgumentFoundationsComplex numbers foundations 02-02-052ConjugateFoundationsComplex numbers foundations 02-02-053De Moivre's FormulaFoundationsComplex numbers foundations 02-02-054Euler's FormulaFoundationsComplex numbers foundations 02-02-055Euler's IdentityFoundationsComplex numbers foundations 02-02-056Imaginary unitFoundationsComplex numbers foundations 02-02-057ModulusFoundationsComplex numbers foundations 02-02-058Polar PresentationFoundationsComplex numbers foundations 02-02-059Powers of iFoundationsComplex numbers foundations 02-02-060ContrapositiveFoundationsMathematical reasoning 02-02-061Fallacy (f or c)FoundationsMathematical reasoning 02-02-062Tautology (t)FoundationsMathematical reasoning 02-02-063Complex numbersFoundationsSets of numbers 02-02-064IntegersFoundationsSets of numbers 02-02-065Irrational numbersFoundationsSets of numbers 02-02-066Natural numbersFoundationsSets of numbers 02-02-067Rational numbersFoundationsSets of numbers 02-02-068Real numbersFoundationsSets of numbers 02-02-069Set progressionFoundationsSets of numbers 02-02-070Whole numbersFoundationsSets of numbers 02-02-071Binomial TheoremAlgebra and precalculusBinomial theorem and expansions 02-02-072CombinationsAlgebra and precalculusBinomial theorem and expansions