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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 5 of 22.

IndexAll notes

02-02-097PowerAlgebra and precalculusDefinition and properties 02-02-098ProductAlgebra and precalculusDefinition and properties 02-02-099QuotientAlgebra and precalculusDefinition and properties 02-02-100AM-GM (two terms)Algebra and precalculusEquations and inequalities 02-02-101AM-GM (unit)Algebra and precalculusEquations and inequalities 02-02-102Axis of symmetryAlgebra and precalculusEquations and inequalities 02-02-103DiscriminantAlgebra and precalculusEquations and inequalities 02-02-104Inequality additionAlgebra and precalculusEquations and inequalities 02-02-105Inequality multiplication (positive)Algebra and precalculusEquations and inequalities 02-02-106Inequality rule flip (negative)Algebra and precalculusEquations and inequalities 02-02-107Polynomial roots (degree n)Algebra and precalculusEquations and inequalities 02-02-108Quadratic EquationAlgebra and precalculusEquations and inequalities 02-02-109Vieta's Formulas (Product of roots)Algebra and precalculusEquations and inequalities 02-02-110Vieta's Formulas (Sum of roots)Algebra and precalculusEquations and inequalities 02-02-111DivisionAlgebra and precalculusPowers and exponents 02-02-112MultiplicationAlgebra and precalculusPowers and exponents 02-02-113Negative exponentAlgebra and precalculusPowers and exponents 02-02-114Power of a powerAlgebra and precalculusPowers and exponents 02-02-115Power of a productAlgebra and precalculusPowers and exponents 02-02-116Power of a quotientAlgebra and precalculusPowers and exponents 02-02-117Zero exponentAlgebra and precalculusPowers and exponents 02-02-118Division of rootsAlgebra and precalculusRoots and radicals 02-02-119Fractional ExponentAlgebra and precalculusRoots and radicals 02-02-120Multiplication of rootsAlgebra and precalculusRoots and radicals