| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Numeric.Algebra.Space.Semimodule
Description
Provides the Semimodule typeclass.
Since: 0.1
Synopsis
- class (Demimodule m r, Hemimodule m r, Semiring r) => Semimodule m r | m -> r
Documentation
class (Demimodule m r, Hemimodule m r, Semiring r) => Semimodule m r | m -> r Source #
Defines a Semimodule over a Semiring.
Examples:
- \( \mathbb{Z}^{+} \times \mathbb{Z}^{+} \), the two-dimensional non-negative integers.
>>>:{-- Addition f1 :: (Semimodule m r) => m -> m f1 m = m .+. m :}
>>>f1 (8,4)(16,8)
>>>:{-- Zero f2 :: (Semimodule m r) => m -> m f2 m = m .+. zero :}
>>>f2 (8,4)(8,4)
>>>:{-- Scalar multiplication f3 :: (Semimodule m r, Num r) => m -> m f3 m = m .* 6 :}
>>>f3 (8,4)(48,24)
Since: 0.1
Instances
| Semiring r => Semimodule (r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r, r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |
| Semiring r => Semimodule (r, r, r, r, r, r, r, r, r) r Source # | Since: 0.1 |
Defined in Numeric.Algebra.Space.Semimodule | |