Multi Linear 1D Fn
Multi Linear 1D Fn is a direct subtype of Real To Real Function
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with functions Multi Linear 1D Fn Functions, keys Multi Linear 1D Fn keys and example object MultiLin1DFn
TYPE INCLUSION RELATIONSHIPS
AVAILABLE FUNCTIONS
AVAILABLE CREATE FUNCTION KEYS
TYPICAL OBJECTS OF TYPE Multi Linear 1D Fn
This type represents a function ƒ that maps one real variable x to another real variable ƒ(x) produced by stitching together r linear functions L₁ , L₂ , ... , Lᵣ defined on non-overlapping intervals on the real axis.
For simplicity, the linear functions L₁ , L₂ , ... , Lᵣ are not specified as objects of type Linear Fn, but rather through their parameters mᵢ and cᵢ in their defining formulas Lᵢ(x) = mᵢx + cᵢ
The r parameters m₁ , m₂ , ... , mᵣ are defined through the key Slopes
The r parameters c₁ , c₂ , ... , cᵣ are defined through the key Intercepts
The first linear function L₁ is defined on some interval I₁, the second linear function L₂ on some interval I₂ and the last linear function Lᵣ on the interval Iᵣ
These intervals must be distinct and in strict increasing order.
Notationally, the function formula is given by:
ƒ(x) = Lᵢ(x) if x ∊ Iᵢ for i = 1 , ... , r
As an example, below is the chart of a Multi Linear 1D Fn function composed of 3 linear segments, i.e. with r = 3
