MathObj.PowerSeries.Example

Contents

• Default implementations.
• Generate Taylor series explicitly.
• Power series of (1+x)^expon using the binomial series.
• Generate Taylor series from differential equations.

Synopsis

• recip :: C a => [a]
• exp :: C a => [a]
• sqrt :: C a => [a]
• atan :: C a => [a]
• asin :: C a => [a]
• log :: C a => [a]
• cos :: C a => [a]
• sin :: C a => [a]
• acos :: C a => [a]
• tan :: (C a, C a) => [a]
• sinh :: C a => [a]
• atanh :: C a => [a]
• cosh :: C a => [a]
• pow :: C a => a -> [a]
• recipExpl :: C a => [a]
• expExpl :: C a => [a]
• cosExpl :: C a => [a]
• sinExpl :: C a => [a]
• tanExpl :: (C a, C a) => [a]
• tanExplSieve :: (C a, C a) => [a]
• logExpl :: C a => [a]
• sqrtExpl :: C a => [a]
• atanExpl :: C a => [a]
• sinhExpl :: C a => [a]
• atanhExpl :: C a => [a]
• coshExpl :: C a => [a]
• powExpl :: C a => a -> [a]
• erf :: C a => [a]
• expODE :: C a => [a]
• tanODESieve :: C a => [a]
• tanODE :: C a => [a]
• cosODE :: C a => [a]
• sinODE :: C a => [a]
• logODE :: C a => [a]
• sqrtODE :: C a => [a]
• atanODE :: C a => [a]
• asinODE :: C a => [a]
• recipCircle :: C a => [a]
• acosODE :: C a => [a]
• sinhODE :: C a => [a]
• atanhODE :: C a => [a]
• coshODE :: C a => [a]
• powODE :: C a => a -> [a]

Default implementations.

Generate Taylor series explicitly.

Power series of (1+x)^expon using the binomial series.

Generate Taylor series from differential equations.