Post Applied Weights
Key Post Applied Weights in MinMax Fn refers to an optional 1D-array of numbers ̅w₁ , ̅w₂ , ... , ̅wᵤ that are taken in consideration only after the minimum/maximum m of the original input variables x₁ , x₂ , ... , xᵤ - or their corresponding growth factors x₁/x⁰₁ , x₂/x⁰₂ , ... , xᵤ/x⁰ᵤ if the key Ref Values also applies - has been found.
Then the function ƒ returns ̅wᵢm, rather than m
where i is the index that corresponds to the found extremum m, i.e. the smallest integer i for which it holds that xᵢ = m (or xᵢ/x⁰ᵢ = m if the key Ref Values apply).
If there are more than one such elements that equate to m so that there exist several candidate indices, i is chosen as the smallest of all candidate indices.
Formally, the formula of the function ƒ is:
ƒ( x₁ , x₂ , ... , xᵤ ) = ̅wᵢm
where
̅w₁ , ̅w₂ , ... , ̅wᵤ are the weights supplied here.
and
i is the index of the extremum element m, i.e. the smallest integer i such that:
xᵢ = m = min{ x₁ , x₂ , ... , xᵤ } if the key Ref Values does not apply
or
xᵢ/x⁰ᵢ = m = min{ x₁/x⁰₁ , x₂/x⁰₂ , ... , xᵤ/x⁰ᵤ } if the key Ref Values also applies
If this entry is missing, the function ƒ returns the extremum m
The presence of this entry has a sideeffect on the Domain_Dim since it imposes the requirement that the function ƒ must receive exactly u input variables, where u is the number of this entry's elements.
For more details see also MinMax Fn.