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• \( \mathbb{Q}^{+} \times \mathbb{Q}^{+} \), the two-dimensional non-negative rationals.

>>> :{
  -- Addition
  f1 :: (SemivectorSpace v k) => v -> v
  f1 v = v .+. v
:}

>>> f1 (8,4)
(16,8)

>>> :{
  -- Zero
  f2 :: (SemivectorSpace v k) => v -> v
  f2 v = v .+. zero
:}

>>> f2 (8,4)
(8,4)

>>> :{
  -- Scalar multiplication
  f3 :: (SemivectorSpace v k, Num k) => v -> v
  f3 v = v .* 6
:}

>>> f3 (8,4)
(48,24)

>>> :{
  -- Scalar division
  f4 :: (SemivectorSpace v k, Num k) => v -> v
  f4 v = v .% 2
:}

>>> f4 (8,4)
(4,2)