NumericPrelude-0.0: An experimental alternative hierarchy of numeric type classesContentsIndex
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]
sin :: C a => [a]
cos :: C a => [a]
log :: C a => [a]
asin :: C a => [a]
atan :: C a => [a]
sqrt :: C a => [a]
acos :: C a => [a]
tan :: (C a, C a) => [a]
sinh :: C a => [a]
cosh :: C a => [a]
atanh :: C a => [a]
pow :: C a => a -> [a]
recipExpl :: C a => [a]
expExpl :: C a => [a]
sinExpl :: C a => [a]
cosExpl :: C a => [a]
tanExpl :: (C a, C a) => [a]
tanExplSieve :: (C a, C a) => [a]
logExpl :: C a => [a]
atanExpl :: C a => [a]
sqrtExpl :: C a => [a]
sinhExpl :: C a => [a]
coshExpl :: C a => [a]
atanhExpl :: C a => [a]
powExpl :: C a => a -> [a]
erf :: C a => [a]
expODE :: C a => [a]
sinODE :: C a => [a]
cosODE :: C a => [a]
tanODE :: C a => [a]
tanODESieve :: C a => [a]
logODE :: C a => [a]
recipCircle :: C a => [a]
asinODE :: C a => [a]
atanODE :: C a => [a]
sqrtODE :: C a => [a]
acosODE :: C a => [a]
sinhODE :: C a => [a]
coshODE :: C a => [a]
atanhODE :: C a => [a]
powODE :: C a => a -> [a]
Default implementations.
recip :: C a => [a]
exp :: 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]
acos :: C a => [a]
tan :: (C a, C a) => [a]
sinh :: C a => [a]
cosh :: C a => [a]
atanh :: C a => [a]
pow :: C a => a -> [a]
Generate Taylor series explicitly.
recipExpl :: C a => [a]
expExpl :: C a => [a]
sinExpl :: C a => [a]
cosExpl :: C a => [a]
tanExpl :: (C a, C a) => [a]
tanExplSieve :: (C a, C a) => [a]
logExpl :: C a => [a]
atanExpl :: C a => [a]
sqrtExpl :: C a => [a]
sinhExpl :: C a => [a]
coshExpl :: C a => [a]
atanhExpl :: C a => [a]
Power series of (1+x)^expon using the binomial series.
powExpl :: C a => a -> [a]
erf :: C a => [a]
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.
expODE :: C a => [a]
sinODE :: C a => [a]
cosODE :: C a => [a]
tanODE :: C a => [a]
tanODESieve :: C a => [a]
logODE :: C a => [a]
recipCircle :: C a => [a]
asinODE :: C a => [a]
atanODE :: C a => [a]
sqrtODE :: C a => [a]
acosODE :: C a => [a]
sinhODE :: C a => [a]
coshODE :: C a => [a]
atanhODE :: C a => [a]
powODE :: C a => a -> [a]
Produced by Haddock version 0.7