Scheduled Number Is Inside Fn
Scheduled Number Is Inside Fn is a direct subtype of Timed Real To Real Function
aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa
with functions Scheduled Number Is Inside Fn Functions, keys Scheduled Number Is Inside Fn keys and example object SchedNumInsideFn
TYPE INCLUSION RELATIONSHIPS
AVAILABLE FUNCTIONS
AVAILABLE CREATE FUNCTION KEYS
TYPICAL OBJECTS OF TYPE Scheduled Number Is Inside Fn
This type represents a function ƒ that acts exactly like the more generic function Scheduled Real Fn, with the additional restriction that the functions defined there through the key Functions are here replaced by functions of type Number Is Inside Fn
Look at Scheduled Real Fn for more details.
Another difference from Scheduled Real Fn is that the functions ƒ₁ , ƒ₂ , ... , ƒₙ corresponding to the applicable dates d₁ , d₂ , ... , dₙ are not defined explicitly, but generated implicitly by applying certain step up rules expressed as objects of type Step Up Rule
These rules are applied on the values associated with the key Interval of a given base function ƒ₁
The function ƒ₁ is specified throught the key Fn as an object of type Number Is Inside Fn
In summary:
1The given schedule implies a sequence of dates d₁ , d₂ , ... , dₙ
2The given base function ƒ₁ is of type Number Is Inside Fn and characterized by certain parameter sets denoted as 𝒫₁
3The given step up rules imply the sequence of stepped-up parameter sets: 𝒫₁ , 𝒫₂ , ... , 𝒫ₙ
4The implied parameters sets 𝒫₁ , 𝒫₂ , ... , 𝒫ₙ lead to the corresponding implied functions: ƒ₁ , ƒ₂ , ... , ƒₙ
5Therefore the dates d₁ , d₂ , ... , dₙ correspond to the functions ƒ₁ , ƒ₂ , ... , ƒₙ
6The function ƒ works by delegation to one of the functions ƒ₁ , ƒ₂ , ... , ƒₙ in the sense that ƒ(dᵢ , x₁ , x₂ , ... , xᵤ) = ƒᵢ(x₁ , x₂ , ... , xᵤ)
As an example, below is the chart of a Scheduled Number Is Inside Fn function that expects as input a date d followed by a real variable x and returns TRUE according to the following rules:
The depicted function's domain includes the 3 dates: 21-Mar-2025, 21-Apr-2025, 21-May-2025
The base Number Is Inside Fn funcion applies at the date 21-Mar-2025, returns 1 (equivalent to TRUE) if x ∊ [0 , 1) and corresponds to the blue line at the front.
The formulas for the two remaining functions at the next dates of 21-Apr-2025 and 21-May-2025 are calculated from the given step up amounts of 0.1
It follows that the second function as of 21-Apr-2025 returns 1 (i.e. TRUE) if x ∊ [0.1 , 1.1) and corresponds to the orange line in the middle.
The third function as of 21-May-2025 returns TRUE if x ∊ [0.2 , 1.2) and corresponds to the green line at the back.
