Scheduled Linear Fn Params


Key _Scheduled Linear Fn Params in
Scheduled Linear Fn refers to a read-only table containing r rows and u + 2 columns with the allowed dates dᵢ, applicable intercept parameters cᵢ and applicable slope parameters mᵢⱼ, as shown below:

d₁ , c₁ , I₁₁ , I₁₂ , ... , I₁ᵤ
d₂ , c₂ , I₂₁ , I₂₂ , ... , I₂ᵤ
...
dᵣ , cᵣ , Iᵣ₁ , Iᵣ₂ , ... , Iᵣᵤ

u is the number of input real variables x₁ , x₂ , ... , xᵤ to the predicate function Scheduled Linear Fn

r is the number of dates d₁ , d₂ , ... , dᵣ implied by the schedule defined through the key
Schedule

The left column carries the title #Date and contains the dates d₁ , d₂ , ... , dᵣ

The remaining u columns contain the parameters that define the stepped up linear functions associated with the dates d₁ , d₂ , ... , dᵣ

Concretely, the iᵗʰ row contains the intercept parameter cᵢ followed by the slope parameters m₁ , m₂ , ... , mᵤ that parametrize the function Scheduled Linear Fn only when the input variables are dᵢ , x₁ , x₂ , ... , xᵤ for arbitrary x₁ , x₂ , ... , xᵤ, i.e. when the first date variable equals dᵢ

Note the common case where the input to the function Scheduled Linear Fn contains only one real variable x.
Then all slope parameters are contained in a single column with r rows.

Note the data here are only created when the user attempts to inspect them and therefore do not affect the regular creation and size of the corresponding
Scheduled Linear Fn object.

Note this key is prefixed by _, which indicates it is regarded as a read-only part of the object's data and therefore its associated value cannot be edited.
For that reason it does not appear as part of the input data.
It carries informational only value for the user and appears as part of its contents.
Also it completely depends on the remaining object contents and therefore is never part of the exported object's data.