Haskell Programming
Basics
**
Map
import Control.Monad
:{
map
(\x -> x*x + x + 10)
[1..10]
:}
| 12 | 16 | 22 | 30 | 40 | 52 | 66 | 82 | 100 | 120 |
Applications
Derivatives
-- | alias R to be a Double as an approximate of a real number
type R = Double
type Time = R
type Position = R
type Derivative = (R -> R) -> R -> R
derivative :: R -> Derivative
derivative dt x t = (x (t + dt/2) - x(t - dt/2)) / dt
carPosition :: Time -> Position
carPosition t = cos t
carVelocity :: Time -> Velocity
carVelocity = derivative 0.01 carPosition
derivative 0.00001 carPosition 1