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

Default implementations.

recip :: C a => [a] Source

sin :: C a => [a] Source

cos :: C a => [a] Source

log :: C a => [a] Source

asin :: C a => [a] Source

atan :: C a => [a] Source

sqrt :: C a => [a] Source

exp :: C a => [a] Source

acos :: C a => [a] Source

tan :: (C a, C a) => [a] Source

cosh :: C a => [a] Source

atanh :: C a => [a] Source

sinh :: C a => [a] Source

pow :: C a => a -> [a] Source

Generate Taylor series explicitly.

recipExpl :: C a => [a] Source

sinExpl :: C a => [a] Source

cosExpl :: C a => [a] Source

expExpl :: C a => [a] Source

tanExplSieve :: (C a, C a) => [a] Source

tanExpl :: (C a, C a) => [a] Source

atanExpl :: C a => [a] Source

sqrtExpl :: C a => [a] Source

logExpl :: C a => [a] Source

coshExpl :: C a => [a] Source

atanhExpl :: C a => [a] Source

sinhExpl :: C a => [a] Source

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

powExpl :: C a => a -> [a] Source

erf :: C a => [a] Source

Power series of error function (almost). More precisely erf = 2 / sqrt pi * integrate (x -> exp (-x^2)) , with erf 0 = 0.

Generate Taylor series from differential equations.

sinODE :: C a => [a] Source

cosODE :: C a => [a] Source

tanODE :: C a => [a] Source

tanODESieve :: C a => [a] Source

expODE :: C a => [a] Source

recipCircle :: C a => [a] Source

asinODE :: C a => [a] Source

atanODE :: C a => [a] Source

sqrtODE :: C a => [a] Source

logODE :: C a => [a] Source

acosODE :: C a => [a] Source

coshODE :: C a => [a] Source

atanhODE :: C a => [a] Source

sinhODE :: C a => [a] Source

powODE :: C a => a -> [a] Source

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