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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 4 of 22.

IndexAll notes

02-02-073Expanded Binomial FormulaAlgebra and precalculusBinomial theorem and expansions 02-02-074Brahmagupta–Fibonacci IdentityAlgebra and precalculusFactoring and product formulas 02-02-075Difference of cubesAlgebra and precalculusFactoring and product formulas 02-02-076Difference of squaresAlgebra and precalculusFactoring and product formulas 02-02-077General xⁿ + yⁿ (for odd n)Algebra and precalculusFactoring and product formulas 02-02-078General xⁿ − yⁿ (any n)Algebra and precalculusFactoring and product formulas 02-02-079Perfect cube polynomialsAlgebra and precalculusFactoring and product formulas 02-02-080Perfect square trinomialsAlgebra and precalculusFactoring and product formulas 02-02-081Sum of cubesAlgebra and precalculusFactoring and product formulas 02-02-082Adding fractionsAlgebra and precalculusArithmetic operations 02-02-083Dividing fractionsAlgebra and precalculusArithmetic operations 02-02-084Multiplying fractionsAlgebra and precalculusArithmetic operations 02-02-085Boundary condition (lower bound)Algebra and precalculusProperties of absolute value 02-02-086Boundary condition (upper bound)Algebra and precalculusProperties of absolute value 02-02-087ConstraintAlgebra and precalculusProperties of absolute value 02-02-088DivisionAlgebra and precalculusProperties of absolute value 02-02-089MultiplicationAlgebra and precalculusProperties of absolute value 02-02-090Reverse Triangle InequalityAlgebra and precalculusProperties of absolute value 02-02-091Triangle InequalityAlgebra and precalculusProperties of absolute value 02-02-092Base powerAlgebra and precalculusDefinition and properties 02-02-093Cancellation (Base)Algebra and precalculusDefinition and properties 02-02-094Change of BaseAlgebra and precalculusDefinition and properties 02-02-095DefinitionAlgebra and precalculusDefinition and properties 02-02-096Natural Log CancellationAlgebra and precalculusDefinition and properties