MathObj.PowerSeries2

Two-variate power series.

Documentation

newtype T a

In order to handle both variables equivalently we maintain a list of coefficients for terms of the same total degree. That is

eval [[a], [b,c], [d,e,f]] (x,y) ==
   a + b*x+c*y + d*x^2+e*x*y+f*y^2

Although the sub-lists are always finite and thus are more like polynomials than power series, division and square root computation are easier to implement for power series.

Constructors

Cons

Fields

coeffs :: T a

Instances

Functor T

C T

(Eq a, C a) => Eq (T a)

(Ord a, C a) => Ord (T a)

Show a => Show (T a)

C a => C (T a)

C a => C (T a)

C a => C (T a)

C a => C (T a)

isValid :: [[a]] -> Bool

check :: [[a]] -> [[a]]

fromCoeffs :: [[a]] -> T a

fromPowerSeries0 :: C a => T a -> T a

fromPowerSeries1 :: C a => T a -> T a

lift0 :: T a -> T a

lift1 :: (T a -> T a) -> T a -> T a

lift2 :: (T a -> T a -> T a) -> T a -> T a -> T a

const :: a -> T a

truncate :: Int -> T a -> T a

appPrec :: Int